%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWC152-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed May 29 18:00:40 EDT 2024

% Result   : Unsatisfiable 77.79s 78.06s
% Output   : Proof 78.08s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.14  % Problem    : SWC152-1 : TPTP v8.2.0. Released v2.4.0.
% 0.11/0.15  % Command    : do_cvc5 %s %d
% 0.15/0.36  % Computer : n019.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Sun May 26 15:39:09 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.22/0.55  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.56  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.56/10.75  --- Run --no-e-matching --full-saturate-quant at 5...
% 15.60/15.79  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.63/20.84  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.68/25.89  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 30.75/31.01  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 35.79/36.05  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 40.92/41.14  --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 46.17/46.42  --- Run --prenex-quant=none --full-saturate-quant at 5...
% 51.21/51.48  --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 56.24/56.53  --- Run --relevant-triggers --full-saturate-quant at 5...
% 61.35/61.59  --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 66.37/66.68  --- Run --pre-skolem-quant=on --full-saturate-quant at 10...
% 76.45/76.74  --- Run --cbqi-vo-exp --full-saturate-quant at 10...
% 77.79/78.06  % SZS status Unsatisfiable for /export/starexec/sandbox/tmp/tmp.K0cR2KhV7D/cvc5---1.0.5_4759.smt2
% 77.79/78.06  % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.K0cR2KhV7D/cvc5---1.0.5_4759.smt2
% 78.07/78.32  (assume a0 (tptp.equalelemsP tptp.nil))
% 78.07/78.32  (assume a1 (tptp.duplicatefreeP tptp.nil))
% 78.07/78.32  (assume a2 (tptp.strictorderedP tptp.nil))
% 78.07/78.32  (assume a3 (tptp.totalorderedP tptp.nil))
% 78.07/78.32  (assume a4 (tptp.strictorderP tptp.nil))
% 78.07/78.32  (assume a5 (tptp.totalorderP tptp.nil))
% 78.07/78.32  (assume a6 (tptp.cyclefreeP tptp.nil))
% 78.07/78.32  (assume a7 (tptp.ssList tptp.nil))
% 78.07/78.32  (assume a8 (tptp.ssItem tptp.skac3))
% 78.07/78.32  (assume a9 (tptp.ssItem tptp.skac2))
% 78.07/78.32  (assume a10 (not (tptp.singletonP tptp.nil)))
% 78.07/78.32  (assume a11 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))))
% 78.07/78.32  (assume a12 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))))
% 78.07/78.32  (assume a13 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf81 U))))
% 78.07/78.32  (assume a14 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf80 U))))
% 78.07/78.32  (assume a15 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf79 U))))
% 78.07/78.32  (assume a16 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf78 U))))
% 78.07/78.32  (assume a17 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf77 U))))
% 78.07/78.32  (assume a18 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf76 U))))
% 78.07/78.32  (assume a19 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf75 U))))
% 78.07/78.32  (assume a20 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf74 U))))
% 78.07/78.32  (assume a21 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf73 U))))
% 78.07/78.32  (assume a22 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf72 U))))
% 78.07/78.32  (assume a23 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf71 U))))
% 78.07/78.32  (assume a24 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf70 U))))
% 78.07/78.32  (assume a25 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf69 U))))
% 78.07/78.32  (assume a26 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf68 U))))
% 78.07/78.32  (assume a27 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf67 U))))
% 78.07/78.32  (assume a28 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf66 U))))
% 78.07/78.32  (assume a29 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf65 U))))
% 78.07/78.32  (assume a30 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf64 U))))
% 78.07/78.32  (assume a31 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf63 U))))
% 78.07/78.32  (assume a32 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf62 U))))
% 78.07/78.32  (assume a33 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf61 U))))
% 78.07/78.32  (assume a34 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf60 U))))
% 78.07/78.32  (assume a35 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf59 U))))
% 78.07/78.32  (assume a36 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf58 U))))
% 78.07/78.32  (assume a37 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf57 U))))
% 78.07/78.32  (assume a38 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf56 U))))
% 78.07/78.32  (assume a39 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf55 U))))
% 78.07/78.32  (assume a40 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf54 U))))
% 78.07/78.32  (assume a41 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf53 U))))
% 78.07/78.32  (assume a42 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf52 U))))
% 78.07/78.32  (assume a43 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf51 U))))
% 78.07/78.32  (assume a44 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf50 U))))
% 78.07/78.32  (assume a45 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf49 U))))
% 78.07/78.32  (assume a46 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf44 U))))
% 78.07/78.32  (assume a47 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf48 U V))))
% 78.07/78.32  (assume a48 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf47 U V))))
% 78.07/78.32  (assume a49 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf46 U V))))
% 78.07/78.32  (assume a50 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf45 U V))))
% 78.07/78.32  (assume a51 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf43 U V))))
% 78.07/78.32  (assume a52 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf42 U V))))
% 78.07/78.32  (assume a53 (not (= tptp.skac3 tptp.skac2)))
% 78.07/78.32  (assume a54 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.geq U U))))
% 78.07/78.32  (assume a55 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U tptp.nil))))
% 78.07/78.32  (assume a56 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U))))
% 78.07/78.32  (assume a57 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.rearsegP U tptp.nil))))
% 78.07/78.32  (assume a58 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.rearsegP U U))))
% 78.07/78.32  (assume a59 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.frontsegP U tptp.nil))))
% 78.07/78.32  (assume a60 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.frontsegP U U))))
% 78.07/78.32  (assume a61 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.leq U U))))
% 78.07/78.32  (assume a62 (forall ((U $$unsorted)) (or (not (tptp.lt U U)) (not (tptp.ssItem U)))))
% 78.07/78.32  (assume a63 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.equalelemsP (tptp.cons U tptp.nil)))))
% 78.07/78.32  (assume a64 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.duplicatefreeP (tptp.cons U tptp.nil)))))
% 78.07/78.32  (assume a65 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U tptp.nil)))))
% 78.07/78.32  (assume a66 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U tptp.nil)))))
% 78.07/78.32  (assume a67 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderP (tptp.cons U tptp.nil)))))
% 78.07/78.32  (assume a68 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderP (tptp.cons U tptp.nil)))))
% 78.07/78.32  (assume a69 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.cyclefreeP (tptp.cons U tptp.nil)))))
% 78.07/78.32  (assume a70 (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U)))))
% 78.07/78.32  (assume a71 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (tptp.duplicatefreeP U) (tptp.ssItem V))))
% 78.07/78.32  (assume a72 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app U tptp.nil) U))))
% 78.07/78.32  (assume a73 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app tptp.nil U) U))))
% 78.07/78.32  (assume a74 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssList (tptp.tl U)) (= tptp.nil U))))
% 78.07/78.32  (assume a75 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))))
% 78.07/78.32  (assume a76 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssList (tptp.tl U)) (= tptp.nil U))))
% 78.07/78.32  (assume a77 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))))
% 78.07/78.32  (assume a78 (forall ((U $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (tptp.segmentP tptp.nil U))))
% 78.07/78.32  (assume a79 (forall ((U $$unsorted)) (or (not (tptp.segmentP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))))
% 78.07/78.32  (assume a80 (forall ((U $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (tptp.rearsegP tptp.nil U))))
% 78.07/78.32  (assume a81 (forall ((U $$unsorted)) (or (not (tptp.rearsegP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))))
% 78.07/78.32  (assume a82 (forall ((U $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (tptp.frontsegP tptp.nil U))))
% 78.07/78.32  (assume a83 (forall ((U $$unsorted)) (or (not (tptp.frontsegP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))))
% 78.07/78.32  (assume a84 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))))
% 78.07/78.32  (assume a85 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))))
% 78.07/78.32  (assume a86 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.cyclefreeP U) (tptp.leq (tptp.skaf50 U) (tptp.skaf49 U)))))
% 78.07/78.32  (assume a87 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.cyclefreeP U) (tptp.leq (tptp.skaf49 U) (tptp.skaf50 U)))))
% 78.07/78.32  (assume a88 (forall ((U $$unsorted)) (or (not (= (tptp.skaf79 U) (tptp.skaf78 U))) (not (tptp.ssList U)) (tptp.equalelemsP U))))
% 78.07/78.32  (assume a89 (forall ((U $$unsorted)) (or (not (tptp.lt (tptp.skaf69 U) (tptp.skaf70 U))) (not (tptp.ssList U)) (tptp.strictorderedP U))))
% 78.07/78.32  (assume a90 (forall ((U $$unsorted)) (or (not (tptp.leq (tptp.skaf64 U) (tptp.skaf65 U))) (not (tptp.ssList U)) (tptp.totalorderedP U))))
% 78.07/78.32  (assume a91 (forall ((U $$unsorted)) (or (not (tptp.lt (tptp.skaf60 U) (tptp.skaf59 U))) (not (tptp.ssList U)) (tptp.strictorderP U))))
% 78.07/78.32  (assume a92 (forall ((U $$unsorted)) (or (not (tptp.lt (tptp.skaf59 U) (tptp.skaf60 U))) (not (tptp.ssList U)) (tptp.strictorderP U))))
% 78.07/78.32  (assume a93 (forall ((U $$unsorted)) (or (not (tptp.leq (tptp.skaf55 U) (tptp.skaf54 U))) (not (tptp.ssList U)) (tptp.totalorderP U))))
% 78.07/78.32  (assume a94 (forall ((U $$unsorted)) (or (not (tptp.leq (tptp.skaf54 U) (tptp.skaf55 U))) (not (tptp.ssList U)) (tptp.totalorderP U))))
% 78.07/78.32  (assume a95 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.tl (tptp.cons U V)) V))))
% 78.07/78.32  (assume a96 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.hd (tptp.cons U V)) U))))
% 78.07/78.32  (assume a97 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U V) tptp.nil)) (not (tptp.ssItem U)) (not (tptp.ssList V)))))
% 78.07/78.32  (assume a98 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U V) V)) (not (tptp.ssItem U)) (not (tptp.ssList V)))))
% 78.07/78.32  (assume a99 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= V U))))
% 78.07/78.32  (assume a100 (forall ((U $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf44 U) tptp.nil) U))))
% 78.07/78.32  (assume a101 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= V U))))
% 78.07/78.32  (assume a102 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq U V))))
% 78.07/78.32  (assume a103 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.cons (tptp.hd U) (tptp.tl U)) U) (= tptp.nil U))))
% 78.07/78.32  (assume a104 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.gt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt V U))))
% 78.07/78.32  (assume a105 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.gt V U))))
% 78.07/78.32  (assume a106 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.geq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq V U))))
% 78.07/78.32  (assume a107 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.geq V U))))
% 78.07/78.32  (assume a108 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U)) U) (= tptp.nil U))))
% 78.07/78.32  (assume a109 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.gt U V)) (not (tptp.gt V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)))))
% 78.07/78.32  (assume a110 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= U V)) (not (tptp.lt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)))))
% 78.07/78.32  (assume a111 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (tptp.strictorderedP (tptp.cons V U)))))
% 78.07/78.32  (assume a112 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (tptp.totalorderedP (tptp.cons V U)))))
% 78.07/78.32  (assume a113 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.lt V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)))))
% 78.07/78.32  (assume a114 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= U V)) (not (tptp.neq U V)) (not (tptp.ssList V)) (not (tptp.ssList U)))))
% 78.07/78.32  (assume a115 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U tptp.nil) V)) (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.singletonP V))))
% 78.07/78.32  (assume a116 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= U V)) (not (tptp.neq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)))))
% 78.07/78.32  (assume a117 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.app U V) tptp.nil)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))))
% 78.07/78.32  (assume a118 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.app U V) tptp.nil)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))))
% 78.07/78.32  (assume a119 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))))
% 78.07/78.32  (assume a120 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt U V) (= U V))))
% 78.07/78.32  (assume a121 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt U V) (= U V))))
% 78.07/78.32  (assume a122 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))))
% 78.07/78.32  (assume a123 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.strictorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.strictorderedP V) (= tptp.nil V))))
% 78.07/78.32  (assume a124 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.totalorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.totalorderedP V) (= tptp.nil V))))
% 78.07/78.32  (assume a125 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.geq U V)) (not (tptp.geq V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (= V U))))
% 78.07/78.32  (assume a126 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.segmentP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= V U))))
% 78.07/78.32  (assume a127 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.rearsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= V U))))
% 78.07/78.32  (assume a128 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= V U))))
% 78.07/78.32  (assume a129 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (= V U))))
% 78.07/78.32  (assume a130 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app (tptp.skaf46 U V) V) U))))
% 78.07/78.32  (assume a131 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app V (tptp.skaf45 U V)) U))))
% 78.07/78.32  (assume a132 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.tl (tptp.app V U)) (tptp.app (tptp.tl V) U)))))
% 78.07/78.32  (assume a133 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.strictorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.lt U (tptp.hd V)) (= tptp.nil V))))
% 78.07/78.32  (assume a134 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.totalorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.leq U (tptp.hd V)) (= tptp.nil V))))
% 78.07/78.32  (assume a135 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.rearsegP (tptp.app W U) V))))
% 78.07/78.32  (assume a136 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.frontsegP (tptp.app U W) V))))
% 78.07/78.32  (assume a137 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= U V)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.memberP (tptp.cons V W) U))))
% 78.07/78.32  (assume a138 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (tptp.memberP (tptp.cons W U) V))))
% 78.07/78.32  (assume a139 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (tptp.memberP (tptp.app U W) V))))
% 78.07/78.32  (assume a140 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (tptp.memberP (tptp.app W U) V))))
% 78.07/78.32  (assume a141 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.equalelemsP U) (= (tptp.app (tptp.skaf80 U) (tptp.cons (tptp.skaf78 U) (tptp.cons (tptp.skaf79 U) (tptp.skaf81 U)))) U))))
% 78.07/78.32  (assume a142 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (tptp.rearsegP W V))))
% 78.07/78.32  (assume a143 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (tptp.frontsegP W U))))
% 78.07/78.32  (assume a144 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (= tptp.nil V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app U V) tptp.nil))))
% 78.07/78.32  (assume a145 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.gt U V)) (not (tptp.gt V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.gt U W))))
% 78.07/78.32  (assume a146 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.lt V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt U W))))
% 78.07/78.32  (assume a147 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.geq U V)) (not (tptp.geq V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.geq U W))))
% 78.07/78.32  (assume a148 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U))))))
% 78.07/78.32  (assume a149 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app U W))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (= V W))))
% 78.07/78.32  (assume a150 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app W V))) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= U W))))
% 78.07/78.32  (assume a151 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.segmentP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP U W))))
% 78.07/78.32  (assume a152 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.rearsegP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.rearsegP U W))))
% 78.07/78.32  (assume a153 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.frontsegP U W))))
% 78.07/78.32  (assume a154 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.lt V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt U W))))
% 78.07/78.32  (assume a155 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq U W))))
% 78.07/78.32  (assume a156 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.cons U (tptp.app V W)) (tptp.app (tptp.cons U V) W)))))
% 78.07/78.32  (assume a157 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.app U V) W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (tptp.memberP V W) (tptp.memberP U W))))
% 78.07/78.32  (assume a158 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U (tptp.hd V))) (not (tptp.totalorderedP V)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U V)) (= tptp.nil V))))
% 78.07/78.32  (assume a159 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U (tptp.hd V))) (not (tptp.strictorderedP V)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U V)) (= tptp.nil V))))
% 78.07/78.32  (assume a160 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= W U))))
% 78.07/78.32  (assume a161 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.duplicatefreeP U) (= (tptp.app (tptp.app (tptp.skaf75 U) (tptp.cons (tptp.skaf74 U) (tptp.skaf76 U))) (tptp.cons (tptp.skaf74 U) (tptp.skaf77 U))) U))))
% 78.07/78.32  (assume a162 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.strictorderedP U) (= (tptp.app (tptp.app (tptp.skaf71 U) (tptp.cons (tptp.skaf69 U) (tptp.skaf72 U))) (tptp.cons (tptp.skaf70 U) (tptp.skaf73 U))) U))))
% 78.07/78.32  (assume a163 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.totalorderedP U) (= (tptp.app (tptp.app (tptp.skaf66 U) (tptp.cons (tptp.skaf64 U) (tptp.skaf67 U))) (tptp.cons (tptp.skaf65 U) (tptp.skaf68 U))) U))))
% 78.07/78.32  (assume a164 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.strictorderP U) (= (tptp.app (tptp.app (tptp.skaf61 U) (tptp.cons (tptp.skaf59 U) (tptp.skaf62 U))) (tptp.cons (tptp.skaf60 U) (tptp.skaf63 U))) U))))
% 78.07/78.32  (assume a165 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.totalorderP U) (= (tptp.app (tptp.app (tptp.skaf56 U) (tptp.cons (tptp.skaf54 U) (tptp.skaf57 U))) (tptp.cons (tptp.skaf55 U) (tptp.skaf58 U))) U))))
% 78.07/78.32  (assume a166 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.cyclefreeP U) (= (tptp.app (tptp.app (tptp.skaf51 U) (tptp.cons (tptp.skaf49 U) (tptp.skaf52 U))) (tptp.cons (tptp.skaf50 U) (tptp.skaf53 U))) U))))
% 78.07/78.32  (assume a167 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U)) U))))
% 78.07/78.32  (assume a168 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssItem V)) (not (tptp.ssList U)) (= (tptp.app (tptp.skaf42 U V) (tptp.cons V (tptp.skaf43 V U))) U))))
% 78.07/78.32  (assume a169 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= (tptp.cons U V) (tptp.cons W X))) (not (tptp.ssItem W)) (not (tptp.ssItem U)) (not (tptp.ssList X)) (not (tptp.ssList V)) (= U W))))
% 78.07/78.32  (assume a170 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= (tptp.cons U V) (tptp.cons W X))) (not (tptp.ssItem W)) (not (tptp.ssItem U)) (not (tptp.ssList X)) (not (tptp.ssList V)) (= X V))))
% 78.07/78.32  (assume a171 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList W)) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP (tptp.app (tptp.app X U) W) V))))
% 78.07/78.32  (assume a172 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= (tptp.app (tptp.app U V) W) X)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList X)) (tptp.segmentP X V))))
% 78.07/78.32  (assume a173 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.frontsegP (tptp.cons U V) (tptp.cons W X))) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssItem W)) (not (tptp.ssItem U)) (tptp.frontsegP V X))))
% 78.07/78.32  (assume a174 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= (tptp.app U (tptp.cons V W)) X)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList X)) (tptp.memberP X V))))
% 78.07/78.32  (assume a175 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.frontsegP (tptp.cons U V) (tptp.cons W X))) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssItem W)) (not (tptp.ssItem U)) (= U W))))
% 78.07/78.32  (assume a176 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.tl U) (tptp.tl V))) (not (= (tptp.hd U) (tptp.hd V))) (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= U V) (= tptp.nil U))))
% 78.07/78.32  (assume a177 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.frontsegP U V)) (not (= W X)) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem W)) (tptp.frontsegP (tptp.cons W U) (tptp.cons X V)))))
% 78.07/78.32  (assume a178 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons V X)) Y)) (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.duplicatefreeP Y)) (not (tptp.ssList Y)))))
% 78.07/78.32  (assume a179 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.app U (tptp.cons V (tptp.cons W X))) Y)) (not (tptp.ssList X)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.equalelemsP Y)) (not (tptp.ssList Y)) (= V W))))
% 78.07/78.32  (assume a180 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP Z)) (not (tptp.ssList Z)) (tptp.lt V X))))
% 78.07/78.32  (assume a181 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP Z)) (not (tptp.ssList Z)) (tptp.leq V X))))
% 78.07/78.32  (assume a182 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderP Z)) (not (tptp.ssList Z)) (tptp.lt V X) (tptp.lt X V))))
% 78.07/78.32  (assume a183 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderP Z)) (not (tptp.ssList Z)) (tptp.leq V X) (tptp.leq X V))))
% 78.07/78.32  (assume a184 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (= (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (not (tptp.cyclefreeP Z)) (not (tptp.ssList Z)))))
% 78.07/78.32  (assume a185 (tptp.ssList tptp.sk1))
% 78.07/78.32  (assume a186 (tptp.ssList tptp.sk2))
% 78.07/78.32  (assume a187 (tptp.ssList tptp.sk3))
% 78.07/78.32  (assume a188 (tptp.ssList tptp.sk4))
% 78.07/78.32  (assume a189 (= tptp.sk2 tptp.sk4))
% 78.07/78.32  (assume a190 (= tptp.sk1 tptp.sk3))
% 78.07/78.32  (assume a191 (tptp.ssItem tptp.sk5))
% 78.07/78.32  (assume a192 (tptp.ssItem tptp.sk6))
% 78.07/78.32  (assume a193 (tptp.ssList tptp.sk7))
% 78.07/78.32  (assume a194 (tptp.ssList tptp.sk8))
% 78.07/78.32  (assume a195 (tptp.ssList tptp.sk9))
% 78.07/78.32  (assume a196 (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk1))
% 78.07/78.32  (assume a197 (tptp.leq tptp.sk6 tptp.sk5))
% 78.07/78.32  (assume a198 (or (tptp.ssItem tptp.sk10) (not (tptp.leq tptp.sk5 tptp.sk6))))
% 78.07/78.32  (assume a199 (or (tptp.memberP tptp.sk8 tptp.sk10) (not (tptp.leq tptp.sk5 tptp.sk6))))
% 78.07/78.32  (assume a200 (or (not (tptp.leq tptp.sk5 tptp.sk10)) (not (tptp.leq tptp.sk10 tptp.sk6)) (not (tptp.leq tptp.sk5 tptp.sk6))))
% 78.07/78.32  (assume a201 (or (tptp.ssItem tptp.sk11) (= tptp.nil tptp.sk4)))
% 78.07/78.32  (assume a202 (or (tptp.ssItem tptp.sk11) (= tptp.nil tptp.sk3)))
% 78.07/78.32  (assume a203 (or (= (tptp.cons tptp.sk11 tptp.nil) tptp.sk3) (= tptp.nil tptp.sk4)))
% 78.07/78.32  (assume a204 (or (tptp.memberP tptp.sk4 tptp.sk11) (= tptp.nil tptp.sk4)))
% 78.07/78.32  (assume a205 (forall ((A $$unsorted)) (or (not (tptp.ssItem A)) (= tptp.sk11 A) (not (tptp.memberP tptp.sk4 A)) (not (tptp.leq tptp.sk11 A)) (= tptp.nil tptp.sk4))))
% 78.07/78.32  (assume a206 (or (= (tptp.cons tptp.sk11 tptp.nil) tptp.sk3) (= tptp.nil tptp.sk3)))
% 78.07/78.32  (assume a207 (or (tptp.memberP tptp.sk4 tptp.sk11) (= tptp.nil tptp.sk3)))
% 78.07/78.32  (assume a208 (forall ((A $$unsorted)) (or (not (tptp.ssItem A)) (= tptp.sk11 A) (not (tptp.memberP tptp.sk4 A)) (not (tptp.leq tptp.sk11 A)) (= tptp.nil tptp.sk3))))
% 78.07/78.32  (step t1 (cl (not (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.strictorderP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8)))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.strictorderP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8))) :rule or_pos)
% 78.07/78.32  (step t2 (cl (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6) (not (tptp.strictorderP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8)) (not (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.strictorderP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8))))) :rule reordering :premises (t1))
% 78.07/78.32  (step t3 (cl (not (= (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk6 tptp.sk6))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6))) (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (tptp.lt tptp.sk6 tptp.sk6) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6))))) (not (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk6 tptp.sk6))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6)))) (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (tptp.lt tptp.sk6 tptp.sk6) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6)))) :rule equiv_pos2)
% 78.07/78.32  (step t4 (cl (= (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))))) :rule refl)
% 78.07/78.32  (step t5 (cl (= (= (= (not (not (tptp.lt tptp.sk6 tptp.sk6))) (tptp.lt tptp.sk6 tptp.sk6)) true) (= (not (not (tptp.lt tptp.sk6 tptp.sk6))) (tptp.lt tptp.sk6 tptp.sk6)))) :rule equiv_simplify)
% 78.07/78.32  (step t6 (cl (not (= (= (not (not (tptp.lt tptp.sk6 tptp.sk6))) (tptp.lt tptp.sk6 tptp.sk6)) true)) (= (not (not (tptp.lt tptp.sk6 tptp.sk6))) (tptp.lt tptp.sk6 tptp.sk6))) :rule equiv1 :premises (t5))
% 78.07/78.32  (step t7 (cl (= (= (not (not (tptp.lt tptp.sk6 tptp.sk6))) (tptp.lt tptp.sk6 tptp.sk6)) (= (tptp.lt tptp.sk6 tptp.sk6) (not (not (tptp.lt tptp.sk6 tptp.sk6)))))) :rule all_simplify)
% 78.07/78.32  (step t8 (cl (= (tptp.lt tptp.sk6 tptp.sk6) (tptp.lt tptp.sk6 tptp.sk6))) :rule refl)
% 78.07/78.32  (step t9 (cl (= (not (not (tptp.lt tptp.sk6 tptp.sk6))) (tptp.lt tptp.sk6 tptp.sk6))) :rule all_simplify)
% 78.07/78.32  (step t10 (cl (= (= (tptp.lt tptp.sk6 tptp.sk6) (not (not (tptp.lt tptp.sk6 tptp.sk6)))) (= (tptp.lt tptp.sk6 tptp.sk6) (tptp.lt tptp.sk6 tptp.sk6)))) :rule cong :premises (t8 t9))
% 78.07/78.32  (step t11 (cl (= (= (tptp.lt tptp.sk6 tptp.sk6) (tptp.lt tptp.sk6 tptp.sk6)) true)) :rule all_simplify)
% 78.07/78.32  (step t12 (cl (= (= (tptp.lt tptp.sk6 tptp.sk6) (not (not (tptp.lt tptp.sk6 tptp.sk6)))) true)) :rule trans :premises (t10 t11))
% 78.07/78.32  (step t13 (cl (= (= (not (not (tptp.lt tptp.sk6 tptp.sk6))) (tptp.lt tptp.sk6 tptp.sk6)) true)) :rule trans :premises (t7 t12))
% 78.07/78.32  (step t14 (cl (= (not (not (tptp.lt tptp.sk6 tptp.sk6))) (tptp.lt tptp.sk6 tptp.sk6))) :rule resolution :premises (t6 t13))
% 78.07/78.32  (step t15 (cl (= (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))))) :rule refl)
% 78.07/78.32  (step t16 (cl (= (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))))) :rule refl)
% 78.07/78.32  (step t17 (cl (= (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))))) :rule refl)
% 78.07/78.32  (step t18 (cl (= (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))))) :rule refl)
% 78.07/78.32  (step t19 (cl (= (not (= tptp.sk6 tptp.sk11)) (not (= tptp.sk6 tptp.sk11)))) :rule refl)
% 78.07/78.32  (step t20 (cl (= (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))))) :rule refl)
% 78.07/78.32  (step t21 (cl (= (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))))) :rule refl)
% 78.07/78.32  (step t22 (cl (= (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) :rule refl)
% 78.07/78.32  (step t23 (cl (= (not (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6)) (not (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6)))) :rule refl)
% 78.07/78.32  (step t24 (cl (= (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk6 tptp.sk6))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6))) (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (tptp.lt tptp.sk6 tptp.sk6) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6))))) :rule cong :premises (t4 t14 t15 t16 t17 t18 t19 t20 t21 t22 t23))
% 78.07/78.32  (step t25 (cl (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk6 tptp.sk6))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) :rule and_neg)
% 78.07/78.32  (step t26 (cl (=> (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6))) (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) :rule implies_neg1)
% 78.07/78.32  (anchor :step t27)
% 78.07/78.32  (assume t27.a0 (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)))
% 78.07/78.32  (assume t27.a1 (not (tptp.lt tptp.sk6 tptp.sk6)))
% 78.07/78.32  (assume t27.a2 (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))))
% 78.07/78.32  (assume t27.a3 (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))
% 78.07/78.32  (assume t27.a4 (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))))
% 78.07/78.32  (assume t27.a5 (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))))
% 78.07/78.32  (assume t27.a6 (= tptp.sk6 tptp.sk11))
% 78.07/78.32  (assume t27.a7 (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))
% 78.07/78.32  (assume t27.a8 (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))))
% 78.07/78.32  (assume t27.a9 (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))
% 78.07/78.32  (step t27.t1 (cl (=> (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6))) (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) :rule implies_neg1)
% 78.07/78.32  (anchor :step t27.t2)
% 78.07/78.32  (assume t27.t2.a0 (not (tptp.lt tptp.sk6 tptp.sk6)))
% 78.07/78.32  (assume t27.t2.a1 (= tptp.sk6 tptp.sk11))
% 78.07/78.32  (assume t27.t2.a2 (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))))
% 78.07/78.32  (assume t27.t2.a3 (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)))
% 78.07/78.32  (assume t27.t2.a4 (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))))
% 78.07/78.32  (assume t27.t2.a5 (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))))
% 78.07/78.32  (assume t27.t2.a6 (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))
% 78.07/78.32  (assume t27.t2.a7 (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))
% 78.07/78.32  (assume t27.t2.a8 (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))))
% 78.07/78.32  (assume t27.t2.a9 (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))
% 78.07/78.32  (step t27.t2.t1 (cl (= (= (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6) false) (not (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6)))) :rule equiv_simplify)
% 78.07/78.32  (step t27.t2.t2 (cl (not (= (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6) false)) (not (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6))) :rule equiv1 :premises (t27.t2.t1))
% 78.07/78.32  (step t27.t2.t3 (cl (= (tptp.skaf83 tptp.sk8) (tptp.skaf83 tptp.sk8))) :rule refl)
% 78.07/78.32  (step t27.t2.t4 (cl (= (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.skaf83 tptp.sk8))) :rule symm :premises (t27.t2.a9))
% 78.07/78.32  (step t27.t2.t5 (cl (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) :rule symm :premises (t27.t2.t4))
% 78.07/78.32  (step t27.t2.t6 (cl (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) tptp.sk8)) :rule symm :premises (t27.t2.a7))
% 78.07/78.32  (step t27.t2.t7 (cl (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) :rule symm :premises (t27.t2.t6))
% 78.07/78.32  (step t27.t2.t8 (cl (= (tptp.skaf83 tptp.sk8) (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) :rule cong :premises (t27.t2.t7))
% 78.07/78.32  (step t27.t2.t9 (cl (= (tptp.skaf82 tptp.sk8) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) :rule cong :premises (t27.t2.t7))
% 78.07/78.32  (step t27.t2.t10 (cl (= (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) :rule cong :premises (t27.t2.t8 t27.t2.t9))
% 78.07/78.32  (step t27.t2.t11 (cl (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) :rule symm :premises (t27.t2.a8))
% 78.07/78.32  (step t27.t2.t12 (cl (= (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)) tptp.sk8)) :rule trans :premises (t27.t2.t10 t27.t2.t11 t27.t2.t6))
% 78.07/78.32  (step t27.t2.t13 (cl (= (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.hd tptp.sk8))) :rule cong :premises (t27.t2.t12))
% 78.07/78.32  (step t27.t2.t14 (cl (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) :rule cong :premises (t27.t2.t7))
% 78.07/78.32  (step t27.t2.t15 (cl (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) :rule symm :premises (t27.t2.a5))
% 78.07/78.32  (step t27.t2.t16 (cl (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) :rule symm :premises (t27.t2.t15))
% 78.07/78.32  (step t27.t2.t17 (cl (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) :rule symm :premises (t27.t2.a4))
% 78.07/78.32  (step t27.t2.t18 (cl (= (tptp.cons tptp.sk11 tptp.nil) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) :rule symm :premises (t27.t2.a3))
% 78.07/78.32  (step t27.t2.t19 (cl (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) :rule symm :premises (t27.t2.t18))
% 78.07/78.32  (step t27.t2.t20 (cl (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) :rule cong :premises (t27.t2.t19))
% 78.07/78.32  (step t27.t2.t21 (cl (= (tptp.hd (tptp.cons tptp.sk11 tptp.nil)) tptp.sk11)) :rule symm :premises (t27.t2.a2))
% 78.07/78.32  (step t27.t2.t22 (cl (= (tptp.skaf83 tptp.sk8) tptp.sk11)) :rule trans :premises (t27.t2.t5 t27.t2.t13 t27.t2.t14 t27.t2.t16 t27.t2.t17 t27.t2.t20 t27.t2.t21))
% 78.07/78.32  (step t27.t2.t23 (cl (= tptp.sk11 tptp.sk6)) :rule symm :premises (t27.t2.a1))
% 78.07/78.32  (step t27.t2.t24 (cl (= (tptp.skaf83 tptp.sk8) tptp.sk6)) :rule trans :premises (t27.t2.t22 t27.t2.t23))
% 78.07/78.32  (step t27.t2.t25 (cl (= tptp.sk6 (tptp.skaf83 tptp.sk8))) :rule symm :premises (t27.t2.t24))
% 78.07/78.32  (step t27.t2.t26 (cl (= (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6) (tptp.lt (tptp.skaf83 tptp.sk8) (tptp.skaf83 tptp.sk8)))) :rule cong :premises (t27.t2.t3 t27.t2.t25))
% 78.07/78.32  (step t27.t2.t27 (cl (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule symm :premises (t27.t2.a6))
% 78.07/78.32  (step t27.t2.t28 (cl (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule trans :premises (t27.t2.t5 t27.t2.t13 t27.t2.t14 t27.t2.t27))
% 78.07/78.32  (step t27.t2.t29 (cl (= (tptp.lt (tptp.skaf83 tptp.sk8) (tptp.skaf83 tptp.sk8)) (tptp.lt tptp.sk6 (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule cong :premises (t27.t2.t24 t27.t2.t28))
% 78.07/78.32  (step t27.t2.t30 (cl (= tptp.sk6 tptp.sk6)) :rule refl)
% 78.07/78.32  (step t27.t2.t31 (cl (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) :rule symm :premises (t27.t2.t27))
% 78.07/78.32  (step t27.t2.t32 (cl (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) tptp.sk6)) :rule trans :premises (t27.t2.t31 t27.t2.t16 t27.t2.t17 t27.t2.t20 t27.t2.t21 t27.t2.t23))
% 78.07/78.32  (step t27.t2.t33 (cl (= (tptp.lt tptp.sk6 (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.lt tptp.sk6 tptp.sk6))) :rule cong :premises (t27.t2.t30 t27.t2.t32))
% 78.07/78.32  (step t27.t2.t34 (cl (= (= (tptp.lt tptp.sk6 tptp.sk6) false) (not (tptp.lt tptp.sk6 tptp.sk6)))) :rule equiv_simplify)
% 78.07/78.32  (step t27.t2.t35 (cl (= (tptp.lt tptp.sk6 tptp.sk6) false) (not (not (tptp.lt tptp.sk6 tptp.sk6)))) :rule equiv2 :premises (t27.t2.t34))
% 78.07/78.32  (step t27.t2.t36 (cl (not (not (not (tptp.lt tptp.sk6 tptp.sk6)))) (tptp.lt tptp.sk6 tptp.sk6)) :rule not_not)
% 78.07/78.32  (step t27.t2.t37 (cl (= (tptp.lt tptp.sk6 tptp.sk6) false) (tptp.lt tptp.sk6 tptp.sk6)) :rule resolution :premises (t27.t2.t35 t27.t2.t36))
% 78.07/78.32  (step t27.t2.t38 (cl (= (tptp.lt tptp.sk6 tptp.sk6) false)) :rule resolution :premises (t27.t2.t37 t27.t2.a0))
% 78.07/78.32  (step t27.t2.t39 (cl (= (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6) false)) :rule trans :premises (t27.t2.t26 t27.t2.t29 t27.t2.t33 t27.t2.t38))
% 78.07/78.32  (step t27.t2.t40 (cl (not (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6))) :rule resolution :premises (t27.t2.t2 t27.t2.t39))
% 78.07/78.32  (step t27.t2 (cl (not (not (tptp.lt tptp.sk6 tptp.sk6))) (not (= tptp.sk6 tptp.sk11)) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6))) :rule subproof :discharge (t27.t2.a0 t27.t2.a1 t27.t2.a2 t27.t2.a3 t27.t2.a4 t27.t2.a5 t27.t2.a6 t27.t2.a7 t27.t2.a8 t27.t2.a9))
% 78.07/78.32  (step t27.t3 (cl (not (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (not (tptp.lt tptp.sk6 tptp.sk6))) :rule and_pos)
% 78.07/78.32  (step t27.t4 (cl (not (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (= tptp.sk6 tptp.sk11)) :rule and_pos)
% 78.07/78.32  (step t27.t5 (cl (not (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) :rule and_pos)
% 78.07/78.32  (step t27.t6 (cl (not (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) :rule and_pos)
% 78.07/78.32  (step t27.t7 (cl (not (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) :rule and_pos)
% 78.07/78.32  (step t27.t8 (cl (not (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) :rule and_pos)
% 78.07/78.32  (step t27.t9 (cl (not (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) :rule and_pos)
% 78.07/78.32  (step t27.t10 (cl (not (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) :rule and_pos)
% 78.07/78.32  (step t27.t11 (cl (not (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) :rule and_pos)
% 78.07/78.32  (step t27.t12 (cl (not (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) :rule and_pos)
% 78.07/78.32  (step t27.t13 (cl (not (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6)) (not (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (not (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (not (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (not (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (not (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (not (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (not (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (not (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (not (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (not (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))))) :rule resolution :premises (t27.t2 t27.t3 t27.t4 t27.t5 t27.t6 t27.t7 t27.t8 t27.t9 t27.t10 t27.t11 t27.t12))
% 78.07/78.32  (step t27.t14 (cl (not (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (not (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (not (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (not (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (not (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (not (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (not (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (not (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (not (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (not (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (not (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6))) :rule reordering :premises (t27.t13))
% 78.07/78.32  (step t27.t15 (cl (not (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (not (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6))) :rule contraction :premises (t27.t14))
% 78.07/78.32  (step t27.t16 (cl (=> (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6))) (not (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6))) :rule resolution :premises (t27.t1 t27.t15))
% 78.07/78.32  (step t27.t17 (cl (=> (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6))) (not (not (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6)))) :rule implies_neg2)
% 78.07/78.32  (step t27.t18 (cl (=> (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6))) (=> (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6)))) :rule resolution :premises (t27.t16 t27.t17))
% 78.07/78.32  (step t27.t19 (cl (=> (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6)))) :rule contraction :premises (t27.t18))
% 78.07/78.32  (step t27.t20 (cl (not (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (not (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6))) :rule implies :premises (t27.t19))
% 78.07/78.32  (step t27.t21 (cl (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (not (tptp.lt tptp.sk6 tptp.sk6))) (not (= tptp.sk6 tptp.sk11)) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) :rule and_neg)
% 78.07/78.32  (step t27.t22 (cl (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) :rule resolution :premises (t27.t21 t27.a1 t27.a6 t27.a2 t27.a0 t27.a5 t27.a4 t27.a3 t27.a9 t27.a8 t27.a7))
% 78.07/78.32  (step t27.t23 (cl (not (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6))) :rule resolution :premises (t27.t20 t27.t22))
% 78.07/78.32  (step t27 (cl (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk6 tptp.sk6))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6))) :rule subproof :discharge (t27.a0 t27.a1 t27.a2 t27.a3 t27.a4 t27.a5 t27.a6 t27.a7 t27.a8 t27.a9))
% 78.07/78.32  (step t28 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) :rule and_pos)
% 78.07/78.32  (step t29 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (tptp.lt tptp.sk6 tptp.sk6))) :rule and_pos)
% 78.07/78.32  (step t30 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) :rule and_pos)
% 78.07/78.32  (step t31 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) :rule and_pos)
% 78.07/78.32  (step t32 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) :rule and_pos)
% 78.07/78.32  (step t33 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) :rule and_pos)
% 78.07/78.32  (step t34 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk6 tptp.sk11)) :rule and_pos)
% 78.07/78.32  (step t35 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) :rule and_pos)
% 78.07/78.32  (step t36 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) :rule and_pos)
% 78.07/78.32  (step t37 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) :rule and_pos)
% 78.07/78.32  (step t38 (cl (not (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6)) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) :rule resolution :premises (t27 t28 t29 t30 t31 t32 t33 t34 t35 t36 t37))
% 78.07/78.32  (step t39 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6))) :rule reordering :premises (t38))
% 78.07/78.32  (step t40 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6))) :rule contraction :premises (t39))
% 78.07/78.32  (step t41 (cl (=> (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6))) (not (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6))) :rule resolution :premises (t26 t40))
% 78.07/78.32  (step t42 (cl (=> (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6))) (not (not (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6)))) :rule implies_neg2)
% 78.07/78.32  (step t43 (cl (=> (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6))) (=> (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6)))) :rule resolution :premises (t41 t42))
% 78.07/78.32  (step t44 (cl (=> (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6)))) :rule contraction :premises (t43))
% 78.07/78.32  (step t45 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6))) :rule implies :premises (t44))
% 78.07/78.32  (step t46 (cl (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk6 tptp.sk6))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6))) :rule resolution :premises (t25 t45))
% 78.07/78.32  (step t47 (cl (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk6 tptp.sk6))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6))) (not (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))))) :rule or_neg)
% 78.07/78.32  (step t48 (cl (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk6 tptp.sk6))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6))) (not (not (not (tptp.lt tptp.sk6 tptp.sk6))))) :rule or_neg)
% 78.07/78.32  (step t49 (cl (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk6 tptp.sk6))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6))) (not (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))))) :rule or_neg)
% 78.07/78.32  (step t50 (cl (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk6 tptp.sk6))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6))) (not (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))))) :rule or_neg)
% 78.07/78.32  (step t51 (cl (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk6 tptp.sk6))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6))) (not (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))))) :rule or_neg)
% 78.07/78.32  (step t52 (cl (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk6 tptp.sk6))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6))) (not (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))))) :rule or_neg)
% 78.07/78.32  (step t53 (cl (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk6 tptp.sk6))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6))) (not (not (= tptp.sk6 tptp.sk11)))) :rule or_neg)
% 78.07/78.32  (step t54 (cl (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk6 tptp.sk6))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6))) (not (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))))) :rule or_neg)
% 78.07/78.32  (step t55 (cl (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk6 tptp.sk6))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6))) (not (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))))) :rule or_neg)
% 78.07/78.32  (step t56 (cl (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk6 tptp.sk6))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6))) (not (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) :rule or_neg)
% 78.07/78.32  (step t57 (cl (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk6 tptp.sk6))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6))) (not (not (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6)))) :rule or_neg)
% 78.07/78.32  (step t58 (cl (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk6 tptp.sk6))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6))) (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk6 tptp.sk6))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6))) (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk6 tptp.sk6))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6))) (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk6 tptp.sk6))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6))) (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk6 tptp.sk6))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6))) (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk6 tptp.sk6))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6))) (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk6 tptp.sk6))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6))) (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk6 tptp.sk6))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6))) (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk6 tptp.sk6))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6))) (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk6 tptp.sk6))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6))) (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk6 tptp.sk6))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6)))) :rule resolution :premises (t46 t47 t48 t49 t50 t51 t52 t53 t54 t55 t56 t57))
% 78.07/78.32  (step t59 (cl (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk6 tptp.sk6))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6)))) :rule contraction :premises (t58))
% 78.07/78.32  (step t60 (cl (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (tptp.lt tptp.sk6 tptp.sk6) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6)))) :rule resolution :premises (t3 t24 t59))
% 78.07/78.32  (step t61 (cl (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (tptp.lt tptp.sk6 tptp.sk6) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6))) :rule or :premises (t60))
% 78.07/78.32  (step t62 (cl (not (= (or (= (tptp.cons tptp.sk11 tptp.nil) tptp.sk3) (= tptp.nil tptp.sk3)) (or (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))))) (not (or (= (tptp.cons tptp.sk11 tptp.nil) tptp.sk3) (= tptp.nil tptp.sk3))) (or (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) :rule equiv_pos2)
% 78.07/78.32  (step t63 (cl (= (= (tptp.cons tptp.sk11 tptp.nil) tptp.sk3) (= tptp.sk3 (tptp.cons tptp.sk11 tptp.nil)))) :rule all_simplify)
% 78.07/78.32  (step t64 (cl (= (= tptp.nil tptp.sk3) (= tptp.nil tptp.sk3))) :rule refl)
% 78.07/78.32  (step t65 (cl (= (or (= (tptp.cons tptp.sk11 tptp.nil) tptp.sk3) (= tptp.nil tptp.sk3)) (or (= tptp.sk3 (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk3)))) :rule cong :premises (t63 t64))
% 78.07/78.32  (step t66 (cl (and (= tptp.sk3 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.sk1 tptp.sk3) (= tptp.sk2 tptp.sk4)) (not (= tptp.sk3 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (not (= tptp.sk1 tptp.sk3)) (not (= tptp.sk2 tptp.sk4))) :rule and_neg)
% 78.07/78.32  (step t67 (cl (not (= (= tptp.sk1 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.sk3 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (not (= tptp.sk1 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (= tptp.sk3 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) :rule equiv_pos2)
% 78.07/78.32  (step t68 (cl (and (= tptp.sk1 tptp.sk3) (= tptp.sk2 tptp.sk4)) (not (= tptp.sk1 tptp.sk3)) (not (= tptp.sk2 tptp.sk4))) :rule and_neg)
% 78.07/78.32  (step t69 (cl (and (= tptp.sk1 tptp.sk3) (= tptp.sk2 tptp.sk4))) :rule resolution :premises (t68 a190 a189))
% 78.07/78.32  (step t70 (cl (= tptp.sk1 tptp.sk3)) :rule and :premises (t69))
% 78.07/78.32  (step t71 (cl (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) :rule refl)
% 78.07/78.32  (step t72 (cl (= (= tptp.sk1 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.sk3 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) :rule cong :premises (t70 t71))
% 78.07/78.32  (step t73 (cl (= tptp.sk1 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) :rule symm :premises (a196))
% 78.07/78.32  (step t74 (cl (= tptp.sk3 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) :rule resolution :premises (t67 t72 t73))
% 78.07/78.32  (step t75 (cl (and (= tptp.sk3 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.sk1 tptp.sk3) (= tptp.sk2 tptp.sk4))) :rule resolution :premises (t66 t74 a190 a189))
% 78.07/78.32  (step t76 (cl (= tptp.sk3 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) :rule and :premises (t75))
% 78.07/78.32  (step t77 (cl (= (tptp.cons tptp.sk11 tptp.nil) (tptp.cons tptp.sk11 tptp.nil))) :rule refl)
% 78.07/78.32  (step t78 (cl (= (= tptp.sk3 (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)))) :rule cong :premises (t76 t77))
% 78.07/78.32  (step t79 (cl (= tptp.nil tptp.nil)) :rule refl)
% 78.07/78.32  (step t80 (cl (= (= tptp.nil tptp.sk3) (= tptp.nil (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) :rule cong :premises (t79 t76))
% 78.07/78.32  (step t81 (cl (= (or (= tptp.sk3 (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk3)) (or (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))))) :rule cong :premises (t78 t80))
% 78.07/78.32  (step t82 (cl (= (or (= (tptp.cons tptp.sk11 tptp.nil) tptp.sk3) (= tptp.nil tptp.sk3)) (or (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))))) :rule trans :premises (t65 t81))
% 78.07/78.32  (step t83 (cl (or (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) :rule resolution :premises (t62 t82 a206))
% 78.07/78.32  (step t84 (cl (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) :rule or :premises (t83))
% 78.07/78.32  (step t85 (cl (= tptp.nil (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) :rule reordering :premises (t84))
% 78.07/78.32  (step t86 (cl (not (or (not (= tptp.nil (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (not (tptp.ssList tptp.sk9)) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.nil (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (not (tptp.ssList tptp.sk9)) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) :rule or_pos)
% 78.07/78.32  (step t87 (cl (not (tptp.ssList tptp.sk9)) (not (= tptp.nil (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (not (or (not (= tptp.nil (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (not (tptp.ssList tptp.sk9)) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))))) :rule reordering :premises (t86))
% 78.07/78.32  (step t88 (cl (not (or (not (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) :rule or_pos)
% 78.07/78.32  (step t89 (cl (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)) (not (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (not (or (not (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) :rule reordering :premises (t88))
% 78.07/78.32  (step t90 (cl (not (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) :rule or_pos)
% 78.07/78.32  (step t91 (cl (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)) (not (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))))) :rule reordering :premises (t90))
% 78.07/78.32  (step t92 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V))))) :rule implies_neg1)
% 78.07/78.32  (anchor :step t93)
% 78.07/78.32  (assume t93.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))))
% 78.07/78.32  (step t93.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V))))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))))) :rule forall_inst :args ((:= U tptp.sk6) (:= V tptp.nil)))
% 78.07/78.32  (step t93.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V))))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)))) :rule or :premises (t93.t1))
% 78.07/78.32  (step t93.t3 (cl (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t93.t2 t93.a0))
% 78.07/78.32  (step t93 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V))))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)))) :rule subproof :discharge (t93.a0))
% 78.07/78.32  (step t94 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t92 t93))
% 78.07/78.32  (step t95 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)))) (not (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))))) :rule implies_neg2)
% 78.07/78.32  (step t96 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t94 t95))
% 78.07/78.32  (step t97 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))))) :rule contraction :premises (t96))
% 78.07/78.32  (step t98 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V))))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)))) :rule implies :premises (t97))
% 78.07/78.32  (step t99 (cl (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t98 a85))
% 78.07/78.32  (step t100 (cl (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) :rule resolution :premises (t91 a7 a192 t99))
% 78.07/78.32  (step t101 (cl (not (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) :rule or_pos)
% 78.07/78.32  (step t102 (cl (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (not (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) :rule reordering :premises (t101))
% 78.07/78.32  (step t103 (cl (not (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) :rule or_pos)
% 78.07/78.32  (step t104 (cl (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (not (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule reordering :premises (t103))
% 78.07/78.32  (step t105 (cl (not (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) :rule or_pos)
% 78.07/78.32  (step t106 (cl (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk5)) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil)) (not (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))))) :rule reordering :premises (t105))
% 78.07/78.32  (step t107 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))) (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V))))) :rule implies_neg1)
% 78.07/78.32  (anchor :step t108)
% 78.07/78.32  (assume t108.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))))
% 78.07/78.32  (step t108.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V))))) (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))))) :rule forall_inst :args ((:= U tptp.sk5) (:= V tptp.nil)))
% 78.07/78.32  (step t108.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V))))) (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil)))) :rule or :premises (t108.t1))
% 78.07/78.32  (step t108.t3 (cl (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t108.t2 t108.a0))
% 78.07/78.32  (step t108 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V))))) (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil)))) :rule subproof :discharge (t108.a0))
% 78.07/78.32  (step t109 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))) (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil)))) (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t107 t108))
% 78.07/78.32  (step t110 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))) (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil)))) (not (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))))) :rule implies_neg2)
% 78.07/78.32  (step t111 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))) (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil)))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))) (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t109 t110))
% 78.07/78.32  (step t112 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))) (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))))) :rule contraction :premises (t111))
% 78.07/78.32  (step t113 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V))))) (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil)))) :rule implies :premises (t112))
% 78.07/78.32  (step t114 (cl (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t113 a85))
% 78.07/78.32  (step t115 (cl (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) :rule resolution :premises (t106 a7 a191 t114))
% 78.07/78.32  (step t116 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U))))) :rule implies_neg1)
% 78.07/78.32  (anchor :step t117)
% 78.07/78.32  (assume t117.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))))
% 78.07/78.32  (step t117.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U))))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule forall_inst :args ((:= U (tptp.cons tptp.sk5 tptp.nil)) (:= V tptp.sk7)))
% 78.07/78.32  (step t117.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U))))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule or :premises (t117.t1))
% 78.07/78.32  (step t117.t3 (cl (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t117.t2 t117.a0))
% 78.07/78.32  (step t117 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U))))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule subproof :discharge (t117.a0))
% 78.07/78.32  (step t118 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t116 t117))
% 78.07/78.32  (step t119 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule implies_neg2)
% 78.07/78.32  (step t120 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule resolution :premises (t118 t119))
% 78.07/78.32  (step t121 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule contraction :premises (t120))
% 78.07/78.32  (step t122 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U))))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule implies :premises (t121))
% 78.07/78.32  (step t123 (cl (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t122 a84))
% 78.07/78.32  (step t124 (cl (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t104 a193 t115 t123))
% 78.07/78.32  (step t125 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U))))) :rule implies_neg1)
% 78.07/78.32  (anchor :step t126)
% 78.07/78.32  (assume t126.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))))
% 78.07/78.32  (step t126.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U))))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) :rule forall_inst :args ((:= U tptp.sk8) (:= V (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))
% 78.07/78.32  (step t126.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U))))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) :rule or :premises (t126.t1))
% 78.07/78.32  (step t126.t3 (cl (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) :rule resolution :premises (t126.t2 t126.a0))
% 78.07/78.32  (step t126 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U))))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) :rule subproof :discharge (t126.a0))
% 78.07/78.32  (step t127 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) :rule resolution :premises (t125 t126))
% 78.07/78.32  (step t128 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) :rule implies_neg2)
% 78.07/78.32  (step t129 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) :rule resolution :premises (t127 t128))
% 78.07/78.32  (step t130 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) :rule contraction :premises (t129))
% 78.07/78.32  (step t131 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U))))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) :rule implies :premises (t130))
% 78.07/78.32  (step t132 (cl (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) :rule resolution :premises (t131 a84))
% 78.07/78.32  (step t133 (cl (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) :rule resolution :premises (t102 a194 t124 t132))
% 78.07/78.32  (step t134 (cl (not (or (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)))) (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil))) :rule or_pos)
% 78.07/78.32  (step t135 (cl (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (or (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil))))) :rule reordering :premises (t134))
% 78.07/78.32  (step t136 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (or (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) :rule implies_neg1)
% 78.07/78.32  (anchor :step t137)
% 78.07/78.32  (assume t137.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))))
% 78.07/78.32  (step t137.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) (or (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil))))) :rule forall_inst :args ((:= U tptp.sk6) (:= V tptp.nil)))
% 78.07/78.32  (step t137.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) (or (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)))) :rule or :premises (t137.t1))
% 78.07/78.32  (step t137.t3 (cl (or (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)))) :rule resolution :premises (t137.t2 t137.a0))
% 78.07/78.32  (step t137 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) (or (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)))) :rule subproof :discharge (t137.a0))
% 78.07/78.32  (step t138 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (or (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)))) (or (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)))) :rule resolution :premises (t136 t137))
% 78.07/78.32  (step t139 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (or (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)))) (not (or (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil))))) :rule implies_neg2)
% 78.07/78.32  (step t140 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (or (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (or (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil))))) :rule resolution :premises (t138 t139))
% 78.07/78.32  (step t141 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (or (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil))))) :rule contraction :premises (t140))
% 78.07/78.32  (step t142 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) (or (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)))) :rule implies :premises (t141))
% 78.07/78.32  (step t143 (cl (not (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U V) tptp.nil)) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U V) tptp.nil)) (not (tptp.ssItem U)) (not (tptp.ssList V))))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) :rule equiv_pos2)
% 78.07/78.32  (anchor :step t144 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 78.07/78.32  (step t144.t1 (cl (= U U)) :rule refl)
% 78.07/78.32  (step t144.t2 (cl (= V V)) :rule refl)
% 78.07/78.32  (step t144.t3 (cl (= (= (tptp.cons U V) tptp.nil) (= tptp.nil (tptp.cons U V)))) :rule all_simplify)
% 78.07/78.32  (step t144.t4 (cl (= (not (= (tptp.cons U V) tptp.nil)) (not (= tptp.nil (tptp.cons U V))))) :rule cong :premises (t144.t3))
% 78.07/78.32  (step t144.t5 (cl (= (not (tptp.ssItem U)) (not (tptp.ssItem U)))) :rule refl)
% 78.07/78.32  (step t144.t6 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 78.07/78.32  (step t144.t7 (cl (= (or (not (= (tptp.cons U V) tptp.nil)) (not (tptp.ssItem U)) (not (tptp.ssList V))) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) :rule cong :premises (t144.t4 t144.t5 t144.t6))
% 78.07/78.32  (step t144 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U V) tptp.nil)) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))))) :rule bind)
% 78.07/78.32  (step t145 (cl (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) :rule resolution :premises (t143 t144 a97))
% 78.07/78.32  (step t146 (cl (or (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)))) :rule resolution :premises (t142 t145))
% 78.07/78.32  (step t147 (cl (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t135 a7 a192 t146))
% 78.07/78.32  (step t148 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))) (or (not (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V)))) :rule implies_neg1)
% 78.07/78.32  (anchor :step t149)
% 78.07/78.32  (assume t149.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))))
% 78.07/78.32  (step t149.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V)))) (or (not (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) :rule forall_inst :args ((:= U (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (:= V (tptp.cons tptp.sk6 tptp.nil))))
% 78.07/78.32  (step t149.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V)))) (or (not (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule or :premises (t149.t1))
% 78.07/78.32  (step t149.t3 (cl (or (not (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t149.t2 t149.a0))
% 78.07/78.32  (step t149 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V)))) (or (not (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule subproof :discharge (t149.a0))
% 78.07/78.32  (step t150 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))) (or (not (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (or (not (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t148 t149))
% 78.07/78.32  (step t151 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))) (or (not (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (or (not (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) :rule implies_neg2)
% 78.07/78.32  (step t152 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))) (or (not (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))) (or (not (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t150 t151))
% 78.07/78.32  (step t153 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))) (or (not (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) :rule contraction :premises (t152))
% 78.07/78.32  (step t154 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V)))) (or (not (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule implies :premises (t153))
% 78.07/78.32  (step t155 (cl (not (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.app U V) tptp.nil)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.app U V) tptp.nil)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V)))) :rule equiv_pos2)
% 78.07/78.32  (anchor :step t156 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 78.07/78.32  (step t156.t1 (cl (= U U)) :rule refl)
% 78.07/78.32  (step t156.t2 (cl (= V V)) :rule refl)
% 78.07/78.32  (step t156.t3 (cl (= (= (tptp.app U V) tptp.nil) (= tptp.nil (tptp.app U V)))) :rule all_simplify)
% 78.07/78.32  (step t156.t4 (cl (= (not (= (tptp.app U V) tptp.nil)) (not (= tptp.nil (tptp.app U V))))) :rule cong :premises (t156.t3))
% 78.07/78.32  (step t156.t5 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 78.07/78.32  (step t156.t6 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 78.07/78.32  (step t156.t7 (cl (= (= tptp.nil V) (= tptp.nil V))) :rule refl)
% 78.07/78.32  (step t156.t8 (cl (= (or (not (= (tptp.app U V) tptp.nil)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V)))) :rule cong :premises (t156.t4 t156.t5 t156.t6 t156.t7))
% 78.07/78.32  (step t156 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.app U V) tptp.nil)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))))) :rule bind)
% 78.07/78.32  (step t157 (cl (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V)))) :rule resolution :premises (t155 t156 a118))
% 78.07/78.32  (step t158 (cl (or (not (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t154 t157))
% 78.07/78.32  (step t159 (cl (not (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t89 t100 t133 t147 t158))
% 78.07/78.32  (step t160 (cl (not (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) :rule or_pos)
% 78.07/78.32  (step t161 (cl (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (not (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))))) :rule reordering :premises (t160))
% 78.07/78.32  (step t162 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U))))) :rule implies_neg1)
% 78.07/78.32  (anchor :step t163)
% 78.07/78.32  (assume t163.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))))
% 78.07/78.32  (step t163.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U))))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))))) :rule forall_inst :args ((:= U (tptp.cons tptp.sk6 tptp.nil)) (:= V (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))
% 78.07/78.32  (step t163.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U))))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) :rule or :premises (t163.t1))
% 78.07/78.32  (step t163.t3 (cl (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t163.t2 t163.a0))
% 78.07/78.32  (step t163 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U))))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) :rule subproof :discharge (t163.a0))
% 78.07/78.32  (step t164 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t162 t163))
% 78.07/78.32  (step t165 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))))) :rule implies_neg2)
% 78.07/78.32  (step t166 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))))) :rule resolution :premises (t164 t165))
% 78.07/78.32  (step t167 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))))) :rule contraction :premises (t166))
% 78.07/78.32  (step t168 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U))))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) :rule implies :premises (t167))
% 78.07/78.32  (step t169 (cl (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t168 a84))
% 78.07/78.32  (step t170 (cl (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t161 t100 t133 t169))
% 78.07/78.32  (step t171 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))) (or (not (= tptp.nil (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (not (tptp.ssList tptp.sk9)) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U)))) :rule implies_neg1)
% 78.07/78.32  (anchor :step t172)
% 78.07/78.32  (assume t172.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))))
% 78.07/78.32  (step t172.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U)))) (or (not (= tptp.nil (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (not (tptp.ssList tptp.sk9)) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))))) :rule forall_inst :args ((:= U (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (:= V tptp.sk9)))
% 78.07/78.32  (step t172.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U)))) (or (not (= tptp.nil (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (not (tptp.ssList tptp.sk9)) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) :rule or :premises (t172.t1))
% 78.07/78.32  (step t172.t3 (cl (or (not (= tptp.nil (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (not (tptp.ssList tptp.sk9)) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t172.t2 t172.a0))
% 78.07/78.32  (step t172 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U)))) (or (not (= tptp.nil (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (not (tptp.ssList tptp.sk9)) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) :rule subproof :discharge (t172.a0))
% 78.07/78.32  (step t173 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))) (or (not (= tptp.nil (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (not (tptp.ssList tptp.sk9)) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (or (not (= tptp.nil (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (not (tptp.ssList tptp.sk9)) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t171 t172))
% 78.07/78.32  (step t174 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))) (or (not (= tptp.nil (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (not (tptp.ssList tptp.sk9)) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (or (not (= tptp.nil (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (not (tptp.ssList tptp.sk9)) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))))) :rule implies_neg2)
% 78.07/78.32  (step t175 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))) (or (not (= tptp.nil (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (not (tptp.ssList tptp.sk9)) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))) (or (not (= tptp.nil (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (not (tptp.ssList tptp.sk9)) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))))) :rule resolution :premises (t173 t174))
% 78.07/78.32  (step t176 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))) (or (not (= tptp.nil (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (not (tptp.ssList tptp.sk9)) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))))) :rule contraction :premises (t175))
% 78.07/78.32  (step t177 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U)))) (or (not (= tptp.nil (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (not (tptp.ssList tptp.sk9)) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) :rule implies :premises (t176))
% 78.07/78.32  (step t178 (cl (not (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.app U V) tptp.nil)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.app U V) tptp.nil)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U)))) :rule equiv_pos2)
% 78.07/78.32  (anchor :step t179 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 78.07/78.32  (step t179.t1 (cl (= U U)) :rule refl)
% 78.07/78.32  (step t179.t2 (cl (= V V)) :rule refl)
% 78.07/78.32  (step t179.t3 (cl (= (= (tptp.app U V) tptp.nil) (= tptp.nil (tptp.app U V)))) :rule all_simplify)
% 78.07/78.32  (step t179.t4 (cl (= (not (= (tptp.app U V) tptp.nil)) (not (= tptp.nil (tptp.app U V))))) :rule cong :premises (t179.t3))
% 78.07/78.32  (step t179.t5 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 78.07/78.32  (step t179.t6 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 78.07/78.32  (step t179.t7 (cl (= (= tptp.nil U) (= tptp.nil U))) :rule refl)
% 78.07/78.32  (step t179.t8 (cl (= (or (not (= (tptp.app U V) tptp.nil)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U)))) :rule cong :premises (t179.t4 t179.t5 t179.t6 t179.t7))
% 78.07/78.32  (step t179 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.app U V) tptp.nil)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))))) :rule bind)
% 78.07/78.32  (step t180 (cl (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U)))) :rule resolution :premises (t178 t179 a117))
% 78.07/78.32  (step t181 (cl (or (not (= tptp.nil (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (not (tptp.ssList tptp.sk9)) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t177 t180))
% 78.07/78.32  (step t182 (cl (not (= tptp.nil (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) :rule resolution :premises (t87 a195 t159 t170 t181))
% 78.07/78.32  (step t183 (cl (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) :rule resolution :premises (t85 t182))
% 78.07/78.32  (step t184 (cl (not (or (not (tptp.lt tptp.sk6 tptp.sk6)) (not (tptp.ssItem tptp.sk6)))) (not (tptp.lt tptp.sk6 tptp.sk6)) (not (tptp.ssItem tptp.sk6))) :rule or_pos)
% 78.07/78.32  (step t185 (cl (not (tptp.ssItem tptp.sk6)) (not (tptp.lt tptp.sk6 tptp.sk6)) (not (or (not (tptp.lt tptp.sk6 tptp.sk6)) (not (tptp.ssItem tptp.sk6))))) :rule reordering :premises (t184))
% 78.07/78.32  (step t186 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.lt U U)) (not (tptp.ssItem U)))) (or (not (tptp.lt tptp.sk6 tptp.sk6)) (not (tptp.ssItem tptp.sk6)))) (forall ((U $$unsorted)) (or (not (tptp.lt U U)) (not (tptp.ssItem U))))) :rule implies_neg1)
% 78.07/78.32  (anchor :step t187)
% 78.07/78.32  (assume t187.a0 (forall ((U $$unsorted)) (or (not (tptp.lt U U)) (not (tptp.ssItem U)))))
% 78.07/78.32  (step t187.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.lt U U)) (not (tptp.ssItem U))))) (or (not (tptp.lt tptp.sk6 tptp.sk6)) (not (tptp.ssItem tptp.sk6))))) :rule forall_inst :args ((:= U tptp.sk6)))
% 78.07/78.32  (step t187.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.lt U U)) (not (tptp.ssItem U))))) (or (not (tptp.lt tptp.sk6 tptp.sk6)) (not (tptp.ssItem tptp.sk6)))) :rule or :premises (t187.t1))
% 78.07/78.32  (step t187.t3 (cl (or (not (tptp.lt tptp.sk6 tptp.sk6)) (not (tptp.ssItem tptp.sk6)))) :rule resolution :premises (t187.t2 t187.a0))
% 78.07/78.32  (step t187 (cl (not (forall ((U $$unsorted)) (or (not (tptp.lt U U)) (not (tptp.ssItem U))))) (or (not (tptp.lt tptp.sk6 tptp.sk6)) (not (tptp.ssItem tptp.sk6)))) :rule subproof :discharge (t187.a0))
% 78.07/78.32  (step t188 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.lt U U)) (not (tptp.ssItem U)))) (or (not (tptp.lt tptp.sk6 tptp.sk6)) (not (tptp.ssItem tptp.sk6)))) (or (not (tptp.lt tptp.sk6 tptp.sk6)) (not (tptp.ssItem tptp.sk6)))) :rule resolution :premises (t186 t187))
% 78.07/78.32  (step t189 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.lt U U)) (not (tptp.ssItem U)))) (or (not (tptp.lt tptp.sk6 tptp.sk6)) (not (tptp.ssItem tptp.sk6)))) (not (or (not (tptp.lt tptp.sk6 tptp.sk6)) (not (tptp.ssItem tptp.sk6))))) :rule implies_neg2)
% 78.07/78.32  (step t190 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.lt U U)) (not (tptp.ssItem U)))) (or (not (tptp.lt tptp.sk6 tptp.sk6)) (not (tptp.ssItem tptp.sk6)))) (=> (forall ((U $$unsorted)) (or (not (tptp.lt U U)) (not (tptp.ssItem U)))) (or (not (tptp.lt tptp.sk6 tptp.sk6)) (not (tptp.ssItem tptp.sk6))))) :rule resolution :premises (t188 t189))
% 78.07/78.32  (step t191 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.lt U U)) (not (tptp.ssItem U)))) (or (not (tptp.lt tptp.sk6 tptp.sk6)) (not (tptp.ssItem tptp.sk6))))) :rule contraction :premises (t190))
% 78.07/78.32  (step t192 (cl (not (forall ((U $$unsorted)) (or (not (tptp.lt U U)) (not (tptp.ssItem U))))) (or (not (tptp.lt tptp.sk6 tptp.sk6)) (not (tptp.ssItem tptp.sk6)))) :rule implies :premises (t191))
% 78.07/78.32  (step t193 (cl (or (not (tptp.lt tptp.sk6 tptp.sk6)) (not (tptp.ssItem tptp.sk6)))) :rule resolution :premises (t192 a62))
% 78.07/78.32  (step t194 (cl (not (tptp.lt tptp.sk6 tptp.sk6))) :rule resolution :premises (t185 a192 t193))
% 78.07/78.32  (step t195 (cl (not (or (not (tptp.ssItem tptp.sk11)) (not (tptp.ssList tptp.nil)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))))) (not (tptp.ssItem tptp.sk11)) (not (tptp.ssList tptp.nil)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) :rule or_pos)
% 78.07/78.32  (step t196 (cl (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (not (or (not (tptp.ssItem tptp.sk11)) (not (tptp.ssList tptp.nil)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))))) :rule reordering :premises (t195))
% 78.07/78.32  (step t197 (cl (not (= (or (tptp.ssItem tptp.sk11) (= tptp.nil tptp.sk3)) (or (tptp.ssItem tptp.sk11) (= tptp.nil (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))))) (not (or (tptp.ssItem tptp.sk11) (= tptp.nil tptp.sk3))) (or (tptp.ssItem tptp.sk11) (= tptp.nil (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) :rule equiv_pos2)
% 78.07/78.32  (step t198 (cl (= (tptp.ssItem tptp.sk11) (tptp.ssItem tptp.sk11))) :rule refl)
% 78.07/78.32  (step t199 (cl (= tptp.nil tptp.nil)) :rule refl)
% 78.07/78.32  (step t200 (cl (= tptp.sk3 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) :rule and :premises (t75))
% 78.07/78.32  (step t201 (cl (= (= tptp.nil tptp.sk3) (= tptp.nil (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) :rule cong :premises (t199 t200))
% 78.07/78.32  (step t202 (cl (= (or (tptp.ssItem tptp.sk11) (= tptp.nil tptp.sk3)) (or (tptp.ssItem tptp.sk11) (= tptp.nil (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))))) :rule cong :premises (t198 t201))
% 78.07/78.32  (step t203 (cl (or (tptp.ssItem tptp.sk11) (= tptp.nil (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) :rule resolution :premises (t197 t202 a202))
% 78.07/78.32  (step t204 (cl (tptp.ssItem tptp.sk11) (= tptp.nil (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) :rule or :premises (t203))
% 78.07/78.32  (step t205 (cl (tptp.ssItem tptp.sk11)) :rule resolution :premises (t204 t182))
% 78.07/78.32  (step t206 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem tptp.sk11)) (not (tptp.ssList tptp.nil)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) :rule implies_neg1)
% 78.07/78.32  (anchor :step t207)
% 78.07/78.32  (assume t207.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))))
% 78.07/78.32  (step t207.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) (or (not (tptp.ssItem tptp.sk11)) (not (tptp.ssList tptp.nil)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))))) :rule forall_inst :args ((:= U tptp.sk11) (:= V tptp.nil)))
% 78.07/78.32  (step t207.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) (or (not (tptp.ssItem tptp.sk11)) (not (tptp.ssList tptp.nil)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))))) :rule or :premises (t207.t1))
% 78.07/78.32  (step t207.t3 (cl (or (not (tptp.ssItem tptp.sk11)) (not (tptp.ssList tptp.nil)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))))) :rule resolution :premises (t207.t2 t207.a0))
% 78.07/78.32  (step t207 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) (or (not (tptp.ssItem tptp.sk11)) (not (tptp.ssList tptp.nil)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))))) :rule subproof :discharge (t207.a0))
% 78.07/78.32  (step t208 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem tptp.sk11)) (not (tptp.ssList tptp.nil)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))))) (or (not (tptp.ssItem tptp.sk11)) (not (tptp.ssList tptp.nil)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))))) :rule resolution :premises (t206 t207))
% 78.07/78.32  (step t209 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem tptp.sk11)) (not (tptp.ssList tptp.nil)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))))) (not (or (not (tptp.ssItem tptp.sk11)) (not (tptp.ssList tptp.nil)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))))) :rule implies_neg2)
% 78.07/78.32  (step t210 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem tptp.sk11)) (not (tptp.ssList tptp.nil)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem tptp.sk11)) (not (tptp.ssList tptp.nil)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))))) :rule resolution :premises (t208 t209))
% 78.07/78.32  (step t211 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem tptp.sk11)) (not (tptp.ssList tptp.nil)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))))) :rule contraction :premises (t210))
% 78.07/78.32  (step t212 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) (or (not (tptp.ssItem tptp.sk11)) (not (tptp.ssList tptp.nil)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))))) :rule implies :premises (t211))
% 78.07/78.32  (step t213 (cl (not (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.hd (tptp.cons U V)) U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.hd (tptp.cons U V)) U)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) :rule equiv_pos2)
% 78.07/78.32  (anchor :step t214 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 78.07/78.32  (step t214.t1 (cl (= U U)) :rule refl)
% 78.07/78.32  (step t214.t2 (cl (= V V)) :rule refl)
% 78.07/78.32  (step t214.t3 (cl (= (not (tptp.ssItem U)) (not (tptp.ssItem U)))) :rule refl)
% 78.07/78.32  (step t214.t4 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 78.07/78.32  (step t214.t5 (cl (= (= (tptp.hd (tptp.cons U V)) U) (= U (tptp.hd (tptp.cons U V))))) :rule all_simplify)
% 78.07/78.32  (step t214.t6 (cl (= (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.hd (tptp.cons U V)) U)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) :rule cong :premises (t214.t3 t214.t4 t214.t5))
% 78.07/78.32  (step t214 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.hd (tptp.cons U V)) U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))))) :rule bind)
% 78.07/78.32  (step t215 (cl (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) :rule resolution :premises (t213 t214 a96))
% 78.07/78.32  (step t216 (cl (or (not (tptp.ssItem tptp.sk11)) (not (tptp.ssList tptp.nil)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))))) :rule resolution :premises (t212 t215))
% 78.07/78.32  (step t217 (cl (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) :rule resolution :premises (t196 a7 t205 t216))
% 78.07/78.32  (step t218 (cl (not (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) :rule or_pos)
% 78.07/78.32  (step t219 (cl (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))))) :rule reordering :premises (t218))
% 78.07/78.32  (step t220 (cl (not (or (not (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (not (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) :rule or_pos)
% 78.07/78.32  (step t221 (cl (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)) (not (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (or (not (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))))) :rule reordering :premises (t220))
% 78.07/78.32  (step t222 (cl (not (or (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)))) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil))) :rule or_pos)
% 78.07/78.32  (step t223 (cl (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk5)) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (or (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil))))) :rule reordering :premises (t222))
% 78.07/78.32  (step t224 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (or (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) :rule implies_neg1)
% 78.07/78.32  (anchor :step t225)
% 78.07/78.32  (assume t225.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))))
% 78.07/78.32  (step t225.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) (or (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil))))) :rule forall_inst :args ((:= U tptp.sk5) (:= V tptp.nil)))
% 78.07/78.32  (step t225.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) (or (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)))) :rule or :premises (t225.t1))
% 78.07/78.32  (step t225.t3 (cl (or (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)))) :rule resolution :premises (t225.t2 t225.a0))
% 78.07/78.32  (step t225 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) (or (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)))) :rule subproof :discharge (t225.a0))
% 78.07/78.32  (step t226 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (or (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)))) (or (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)))) :rule resolution :premises (t224 t225))
% 78.07/78.32  (step t227 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (or (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)))) (not (or (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil))))) :rule implies_neg2)
% 78.07/78.32  (step t228 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (or (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (or (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil))))) :rule resolution :premises (t226 t227))
% 78.07/78.32  (step t229 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (or (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil))))) :rule contraction :premises (t228))
% 78.07/78.32  (step t230 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) (or (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)))) :rule implies :premises (t229))
% 78.07/78.32  (step t231 (cl (or (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)))) :rule resolution :premises (t230 t145))
% 78.07/78.32  (step t232 (cl (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t223 a7 a191 t231))
% 78.07/78.32  (step t233 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))) (or (not (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V)))) :rule implies_neg1)
% 78.07/78.32  (anchor :step t234)
% 78.07/78.32  (assume t234.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))))
% 78.07/78.32  (step t234.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V)))) (or (not (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))))) :rule forall_inst :args ((:= U tptp.sk7) (:= V (tptp.cons tptp.sk5 tptp.nil))))
% 78.07/78.32  (step t234.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V)))) (or (not (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule or :premises (t234.t1))
% 78.07/78.32  (step t234.t3 (cl (or (not (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t234.t2 t234.a0))
% 78.07/78.32  (step t234 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V)))) (or (not (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule subproof :discharge (t234.a0))
% 78.07/78.32  (step t235 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))) (or (not (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (or (not (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t233 t234))
% 78.07/78.32  (step t236 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))) (or (not (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (not (or (not (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))))) :rule implies_neg2)
% 78.07/78.32  (step t237 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))) (or (not (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))) (or (not (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t235 t236))
% 78.07/78.32  (step t238 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))) (or (not (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))))) :rule contraction :premises (t237))
% 78.07/78.32  (step t239 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V)))) (or (not (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule implies :premises (t238))
% 78.07/78.32  (step t240 (cl (or (not (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t239 t157))
% 78.07/78.32  (step t241 (cl (not (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t221 a193 t115 t232 t240))
% 78.07/78.32  (step t242 (cl (not (= (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))))) (not (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))))) :rule equiv_pos2)
% 78.07/78.32  (step t243 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))))) :rule refl)
% 78.07/78.32  (step t244 (cl (= (not (tptp.ssList tptp.sk8)) (not (tptp.ssList tptp.sk8)))) :rule refl)
% 78.07/78.32  (step t245 (cl (= (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule refl)
% 78.07/78.32  (step t246 (cl (= (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule refl)
% 78.07/78.32  (step t247 (cl (= (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) :rule all_simplify)
% 78.07/78.32  (step t248 (cl (= (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))))) :rule cong :premises (t244 t245 t246 t247))
% 78.07/78.32  (step t249 (cl (= (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))))) :rule cong :premises (t243 t248))
% 78.07/78.32  (step t250 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V))))) :rule implies_neg1)
% 78.07/78.32  (anchor :step t251)
% 78.07/78.32  (assume t251.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))))
% 78.07/78.32  (step t251.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V))))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))))) :rule forall_inst :args ((:= U tptp.sk8) (:= V (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))
% 78.07/78.32  (step t251.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V))))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule or :premises (t251.t1))
% 78.07/78.32  (step t251.t3 (cl (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule resolution :premises (t251.t2 t251.a0))
% 78.07/78.32  (step t251 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V))))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule subproof :discharge (t251.a0))
% 78.07/78.32  (step t252 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule resolution :premises (t250 t251))
% 78.07/78.32  (step t253 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (not (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))))) :rule implies_neg2)
% 78.07/78.32  (step t254 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))))) :rule resolution :premises (t252 t253))
% 78.07/78.32  (step t255 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))))) :rule contraction :premises (t254))
% 78.07/78.32  (step t256 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))))) :rule resolution :premises (t242 t249 t255))
% 78.07/78.32  (step t257 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V))))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) :rule implies :premises (t256))
% 78.07/78.32  (step t258 (cl (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) :rule resolution :premises (t257 a122))
% 78.07/78.32  (step t259 (cl (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) :rule resolution :premises (t219 a194 t124 t241 t258))
% 78.07/78.32  (step t260 (cl (not (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) :rule or_pos)
% 78.07/78.32  (step t261 (cl (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (not (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))))) :rule reordering :premises (t260))
% 78.07/78.32  (step t262 (cl (not (or (not (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) :rule or_pos)
% 78.07/78.32  (step t263 (cl (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (not (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (or (not (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule reordering :premises (t262))
% 78.07/78.32  (step t264 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))) (or (not (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U)))) :rule implies_neg1)
% 78.07/78.32  (anchor :step t265)
% 78.07/78.32  (assume t265.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))))
% 78.07/78.32  (step t265.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U)))) (or (not (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule forall_inst :args ((:= U (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (:= V tptp.sk8)))
% 78.07/78.32  (step t265.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U)))) (or (not (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule or :premises (t265.t1))
% 78.07/78.32  (step t265.t3 (cl (or (not (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t265.t2 t265.a0))
% 78.07/78.32  (step t265 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U)))) (or (not (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule subproof :discharge (t265.a0))
% 78.07/78.32  (step t266 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))) (or (not (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (or (not (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t264 t265))
% 78.07/78.32  (step t267 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))) (or (not (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (or (not (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule implies_neg2)
% 78.07/78.32  (step t268 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))) (or (not (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))) (or (not (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule resolution :premises (t266 t267))
% 78.07/78.32  (step t269 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))) (or (not (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule contraction :premises (t268))
% 78.07/78.32  (step t270 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U)))) (or (not (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule implies :premises (t269))
% 78.07/78.32  (step t271 (cl (or (not (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t270 t180))
% 78.07/78.32  (step t272 (cl (not (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) :rule resolution :premises (t263 a194 t124 t241 t271))
% 78.07/78.32  (step t273 (cl (not (= (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))))))) (not (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))))) :rule equiv_pos2)
% 78.07/78.32  (step t274 (cl (= (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))))) :rule refl)
% 78.07/78.32  (step t275 (cl (= (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) :rule refl)
% 78.07/78.32  (step t276 (cl (= (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) :rule refl)
% 78.07/78.32  (step t277 (cl (= (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))))) :rule all_simplify)
% 78.07/78.32  (step t278 (cl (= (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))))) :rule cong :premises (t274 t275 t276 t277))
% 78.07/78.32  (step t279 (cl (= (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))))))) :rule cong :premises (t243 t278))
% 78.07/78.32  (step t280 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V))))) :rule implies_neg1)
% 78.07/78.32  (anchor :step t281)
% 78.07/78.32  (assume t281.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))))
% 78.07/78.32  (step t281.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V))))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))))) :rule forall_inst :args ((:= U (tptp.cons tptp.sk6 tptp.nil)) (:= V (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))
% 78.07/78.32  (step t281.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V))))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) :rule or :premises (t281.t1))
% 78.07/78.32  (step t281.t3 (cl (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) :rule resolution :premises (t281.t2 t281.a0))
% 78.07/78.32  (step t281 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V))))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) :rule subproof :discharge (t281.a0))
% 78.07/78.32  (step t282 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) :rule resolution :premises (t280 t281))
% 78.07/78.32  (step t283 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))))) :rule implies_neg2)
% 78.07/78.32  (step t284 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))))) :rule resolution :premises (t282 t283))
% 78.07/78.32  (step t285 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))))) :rule contraction :premises (t284))
% 78.07/78.32  (step t286 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))))) :rule resolution :premises (t273 t279 t285))
% 78.07/78.32  (step t287 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V))))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))))) :rule implies :premises (t286))
% 78.07/78.32  (step t288 (cl (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))))) :rule resolution :premises (t287 a122))
% 78.07/78.32  (step t289 (cl (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t261 t100 t133 t272 t288))
% 78.07/78.32  (step t290 (cl (not (or (not (tptp.ssList tptp.sk9)) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))))) (not (tptp.ssList tptp.sk9)) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) :rule or_pos)
% 78.07/78.32  (step t291 (cl (not (tptp.ssList tptp.sk9)) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (not (or (not (tptp.ssList tptp.sk9)) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))))) :rule reordering :premises (t290))
% 78.07/78.32  (step t292 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (or (not (tptp.ssList tptp.sk9)) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V))))) :rule implies_neg1)
% 78.07/78.32  (anchor :step t293)
% 78.07/78.32  (assume t293.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))))
% 78.07/78.32  (step t293.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V))))) (or (not (tptp.ssList tptp.sk9)) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))))) :rule forall_inst :args ((:= U tptp.sk9) (:= V (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))))
% 78.07/78.32  (step t293.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V))))) (or (not (tptp.ssList tptp.sk9)) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))))) :rule or :premises (t293.t1))
% 78.07/78.32  (step t293.t3 (cl (or (not (tptp.ssList tptp.sk9)) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))))) :rule resolution :premises (t293.t2 t293.a0))
% 78.07/78.32  (step t293 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V))))) (or (not (tptp.ssList tptp.sk9)) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))))) :rule subproof :discharge (t293.a0))
% 78.07/78.32  (step t294 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (or (not (tptp.ssList tptp.sk9)) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))))) (or (not (tptp.ssList tptp.sk9)) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))))) :rule resolution :premises (t292 t293))
% 78.07/78.32  (step t295 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (or (not (tptp.ssList tptp.sk9)) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))))) (not (or (not (tptp.ssList tptp.sk9)) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))))) :rule implies_neg2)
% 78.07/78.32  (step t296 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (or (not (tptp.ssList tptp.sk9)) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (or (not (tptp.ssList tptp.sk9)) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))))) :rule resolution :premises (t294 t295))
% 78.07/78.32  (step t297 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (or (not (tptp.ssList tptp.sk9)) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))))) :rule contraction :premises (t296))
% 78.07/78.32  (step t298 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V))))) (or (not (tptp.ssList tptp.sk9)) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))))) :rule implies :premises (t297))
% 78.07/78.32  (step t299 (cl (or (not (tptp.ssList tptp.sk9)) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))))) :rule resolution :premises (t298 a122))
% 78.07/78.32  (step t300 (cl (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t291 a195 t159 t170 t299))
% 78.07/78.32  (step t301 (cl (not (or (not (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) tptp.sk6)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk11)) (not (tptp.ssItem tptp.sk6)) (tptp.memberP tptp.nil tptp.sk6) (= tptp.sk6 tptp.sk11))) (not (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) tptp.sk6)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk11)) (not (tptp.ssItem tptp.sk6)) (tptp.memberP tptp.nil tptp.sk6) (= tptp.sk6 tptp.sk11)) :rule or_pos)
% 78.07/78.32  (step t302 (cl (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk11)) (tptp.memberP tptp.nil tptp.sk6) (= tptp.sk6 tptp.sk11) (not (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) tptp.sk6)) (not (or (not (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) tptp.sk6)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk11)) (not (tptp.ssItem tptp.sk6)) (tptp.memberP tptp.nil tptp.sk6) (= tptp.sk6 tptp.sk11)))) :rule reordering :premises (t301))
% 78.07/78.32  (step t303 (cl (not (or (not (tptp.memberP tptp.nil tptp.sk6)) (not (tptp.ssItem tptp.sk6)))) (not (tptp.memberP tptp.nil tptp.sk6)) (not (tptp.ssItem tptp.sk6))) :rule or_pos)
% 78.07/78.32  (step t304 (cl (not (tptp.ssItem tptp.sk6)) (not (tptp.memberP tptp.nil tptp.sk6)) (not (or (not (tptp.memberP tptp.nil tptp.sk6)) (not (tptp.ssItem tptp.sk6))))) :rule reordering :premises (t303))
% 78.07/78.32  (step t305 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U)))) (or (not (tptp.memberP tptp.nil tptp.sk6)) (not (tptp.ssItem tptp.sk6)))) (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U))))) :rule implies_neg1)
% 78.07/78.32  (anchor :step t306)
% 78.07/78.32  (assume t306.a0 (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U)))))
% 78.07/78.32  (step t306.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U))))) (or (not (tptp.memberP tptp.nil tptp.sk6)) (not (tptp.ssItem tptp.sk6))))) :rule forall_inst :args ((:= U tptp.sk6)))
% 78.07/78.32  (step t306.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U))))) (or (not (tptp.memberP tptp.nil tptp.sk6)) (not (tptp.ssItem tptp.sk6)))) :rule or :premises (t306.t1))
% 78.07/78.32  (step t306.t3 (cl (or (not (tptp.memberP tptp.nil tptp.sk6)) (not (tptp.ssItem tptp.sk6)))) :rule resolution :premises (t306.t2 t306.a0))
% 78.07/78.32  (step t306 (cl (not (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U))))) (or (not (tptp.memberP tptp.nil tptp.sk6)) (not (tptp.ssItem tptp.sk6)))) :rule subproof :discharge (t306.a0))
% 78.07/78.32  (step t307 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U)))) (or (not (tptp.memberP tptp.nil tptp.sk6)) (not (tptp.ssItem tptp.sk6)))) (or (not (tptp.memberP tptp.nil tptp.sk6)) (not (tptp.ssItem tptp.sk6)))) :rule resolution :premises (t305 t306))
% 78.07/78.32  (step t308 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U)))) (or (not (tptp.memberP tptp.nil tptp.sk6)) (not (tptp.ssItem tptp.sk6)))) (not (or (not (tptp.memberP tptp.nil tptp.sk6)) (not (tptp.ssItem tptp.sk6))))) :rule implies_neg2)
% 78.07/78.32  (step t309 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U)))) (or (not (tptp.memberP tptp.nil tptp.sk6)) (not (tptp.ssItem tptp.sk6)))) (=> (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U)))) (or (not (tptp.memberP tptp.nil tptp.sk6)) (not (tptp.ssItem tptp.sk6))))) :rule resolution :premises (t307 t308))
% 78.07/78.32  (step t310 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U)))) (or (not (tptp.memberP tptp.nil tptp.sk6)) (not (tptp.ssItem tptp.sk6))))) :rule contraction :premises (t309))
% 78.07/78.32  (step t311 (cl (not (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U))))) (or (not (tptp.memberP tptp.nil tptp.sk6)) (not (tptp.ssItem tptp.sk6)))) :rule implies :premises (t310))
% 78.07/78.32  (step t312 (cl (or (not (tptp.memberP tptp.nil tptp.sk6)) (not (tptp.ssItem tptp.sk6)))) :rule resolution :premises (t311 a70))
% 78.07/78.32  (step t313 (cl (not (tptp.memberP tptp.nil tptp.sk6))) :rule resolution :premises (t304 a192 t312))
% 78.07/78.32  (step t314 (cl (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (= tptp.nil tptp.sk9)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) :rule and_neg)
% 78.07/78.32  (step t315 (cl (=> (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) tptp.sk6)) (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) :rule implies_neg1)
% 78.07/78.32  (anchor :step t316)
% 78.07/78.32  (assume t316.a0 (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)))
% 78.07/78.32  (assume t316.a1 (= tptp.nil tptp.sk9))
% 78.07/78.32  (assume t316.a2 (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))
% 78.07/78.32  (assume t316.a3 (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6))
% 78.07/78.32  (assume t316.a4 (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))
% 78.07/78.32  (step t316.t1 (cl (=> (and (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) tptp.sk6)) (and (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)))) :rule implies_neg1)
% 78.07/78.32  (anchor :step t316.t2)
% 78.07/78.32  (assume t316.t2.a0 (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6))
% 78.07/78.32  (assume t316.t2.a1 (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))
% 78.07/78.32  (assume t316.t2.a2 (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))
% 78.07/78.32  (assume t316.t2.a3 (= tptp.nil tptp.sk9))
% 78.07/78.32  (assume t316.t2.a4 (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)))
% 78.07/78.32  (step t316.t2.t1 (cl (= (= (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) tptp.sk6) true) (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) tptp.sk6))) :rule equiv_simplify)
% 78.07/78.32  (step t316.t2.t2 (cl (not (= (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) tptp.sk6) true)) (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) tptp.sk6)) :rule equiv1 :premises (t316.t2.t1))
% 78.07/78.32  (step t316.t2.t3 (cl (= (tptp.cons tptp.sk11 tptp.nil) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) :rule symm :premises (t316.t2.a4))
% 78.07/78.32  (step t316.t2.t4 (cl (= tptp.sk9 tptp.sk9)) :rule refl)
% 78.07/78.32  (step t316.t2.t5 (cl (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil) tptp.sk9))) :rule cong :premises (t316.t2.a2 t316.t2.t4))
% 78.07/78.32  (step t316.t2.t6 (cl (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) :rule symm :premises (t316.t2.a2))
% 78.07/78.32  (step t316.t2.t7 (cl (= tptp.sk9 tptp.nil)) :rule symm :premises (t316.t2.a3))
% 78.07/78.32  (step t316.t2.t8 (cl (= (tptp.app (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil) tptp.sk9) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) :rule cong :premises (t316.t2.t6 t316.t2.t7))
% 78.07/78.32  (step t316.t2.t9 (cl (= (tptp.cons tptp.sk11 tptp.nil) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) :rule trans :premises (t316.t2.t3 t316.t2.t5 t316.t2.t8 t316.t2.t6))
% 78.07/78.32  (step t316.t2.t10 (cl (= (tptp.cons tptp.sk11 tptp.nil) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) :rule trans :premises (t316.t2.t9 t316.t2.a1))
% 78.07/78.32  (step t316.t2.t11 (cl (= tptp.sk6 tptp.sk6)) :rule refl)
% 78.07/78.32  (step t316.t2.t12 (cl (= (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) tptp.sk6) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) tptp.sk6))) :rule cong :premises (t316.t2.t10 t316.t2.t11))
% 78.07/78.32  (step t316.t2.t13 (cl (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) :rule symm :premises (t316.t2.a1))
% 78.07/78.32  (step t316.t2.t14 (cl (= (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) tptp.sk6) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6))) :rule cong :premises (t316.t2.t13 t316.t2.t11))
% 78.07/78.32  (step t316.t2.t15 (cl (= (= (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6) true) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6))) :rule equiv_simplify)
% 78.07/78.32  (step t316.t2.t16 (cl (= (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6) true) (not (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6))) :rule equiv2 :premises (t316.t2.t15))
% 78.07/78.32  (step t316.t2.t17 (cl (= (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6) true)) :rule resolution :premises (t316.t2.t16 t316.t2.a0))
% 78.07/78.32  (step t316.t2.t18 (cl (= (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) tptp.sk6) true)) :rule trans :premises (t316.t2.t12 t316.t2.t14 t316.t2.t17))
% 78.07/78.32  (step t316.t2.t19 (cl (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) tptp.sk6)) :rule resolution :premises (t316.t2.t2 t316.t2.t18))
% 78.07/78.32  (step t316.t2 (cl (not (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) (not (= tptp.nil tptp.sk9)) (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) tptp.sk6)) :rule subproof :discharge (t316.t2.a0 t316.t2.a1 t316.t2.a2 t316.t2.a3 t316.t2.a4))
% 78.07/78.32  (step t316.t3 (cl (not (and (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6)) :rule and_pos)
% 78.07/78.32  (step t316.t4 (cl (not (and (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) :rule and_pos)
% 78.07/78.32  (step t316.t5 (cl (not (and (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) :rule and_pos)
% 78.07/78.32  (step t316.t6 (cl (not (and (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)))) (= tptp.nil tptp.sk9)) :rule and_pos)
% 78.07/78.32  (step t316.t7 (cl (not (and (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) :rule and_pos)
% 78.07/78.32  (step t316.t8 (cl (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) tptp.sk6) (not (and (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)))) (not (and (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)))) (not (and (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)))) (not (and (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)))) (not (and (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))))) :rule resolution :premises (t316.t2 t316.t3 t316.t4 t316.t5 t316.t6 t316.t7))
% 78.07/78.32  (step t316.t9 (cl (not (and (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)))) (not (and (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)))) (not (and (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)))) (not (and (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)))) (not (and (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)))) (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) tptp.sk6)) :rule reordering :premises (t316.t8))
% 78.07/78.32  (step t316.t10 (cl (not (and (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)))) (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) tptp.sk6)) :rule contraction :premises (t316.t9))
% 78.07/78.32  (step t316.t11 (cl (=> (and (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) tptp.sk6)) (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) tptp.sk6)) :rule resolution :premises (t316.t1 t316.t10))
% 78.07/78.32  (step t316.t12 (cl (=> (and (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) tptp.sk6)) (not (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) tptp.sk6))) :rule implies_neg2)
% 78.07/78.32  (step t316.t13 (cl (=> (and (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) tptp.sk6)) (=> (and (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) tptp.sk6))) :rule resolution :premises (t316.t11 t316.t12))
% 78.07/78.32  (step t316.t14 (cl (=> (and (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) tptp.sk6))) :rule contraction :premises (t316.t13))
% 78.07/78.32  (step t316.t15 (cl (not (and (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)))) (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) tptp.sk6)) :rule implies :premises (t316.t14))
% 78.07/78.32  (step t316.t16 (cl (and (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) (not (= tptp.nil tptp.sk9)) (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)))) :rule and_neg)
% 78.07/78.32  (step t316.t17 (cl (and (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)))) :rule resolution :premises (t316.t16 t316.a3 t316.a2 t316.a4 t316.a1 t316.a0))
% 78.07/78.32  (step t316.t18 (cl (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) tptp.sk6)) :rule resolution :premises (t316.t15 t316.t17))
% 78.07/78.32  (step t316 (cl (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (= tptp.nil tptp.sk9)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) tptp.sk6)) :rule subproof :discharge (t316.a0 t316.a1 t316.a2 t316.a3 t316.a4))
% 78.07/78.32  (step t317 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) :rule and_pos)
% 78.07/78.32  (step t318 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) (= tptp.nil tptp.sk9)) :rule and_pos)
% 78.07/78.32  (step t319 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) :rule and_pos)
% 78.07/78.32  (step t320 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6)) :rule and_pos)
% 78.07/78.32  (step t321 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) :rule and_pos)
% 78.07/78.32  (step t322 (cl (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) tptp.sk6) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))))) :rule resolution :premises (t316 t317 t318 t319 t320 t321))
% 78.07/78.32  (step t323 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) tptp.sk6)) :rule reordering :premises (t322))
% 78.07/78.32  (step t324 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) tptp.sk6)) :rule contraction :premises (t323))
% 78.07/78.32  (step t325 (cl (=> (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) tptp.sk6)) (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) tptp.sk6)) :rule resolution :premises (t315 t324))
% 78.07/78.32  (step t326 (cl (=> (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) tptp.sk6)) (not (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) tptp.sk6))) :rule implies_neg2)
% 78.07/78.32  (step t327 (cl (=> (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) tptp.sk6)) (=> (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) tptp.sk6))) :rule resolution :premises (t325 t326))
% 78.07/78.32  (step t328 (cl (=> (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) tptp.sk6))) :rule contraction :premises (t327))
% 78.07/78.32  (step t329 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) tptp.sk6)) :rule implies :premises (t328))
% 78.07/78.32  (step t330 (cl (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (= tptp.nil tptp.sk9)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) tptp.sk6)) :rule resolution :premises (t314 t329))
% 78.07/78.32  (step t331 (cl (not (= (or (not (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil)))) (not (not (= tptp.sk6 tptp.sk11))) (not (= tptp.sk6 (tptp.skaf83 tptp.sk9))) (not (= tptp.sk11 (tptp.skaf83 tptp.sk9)))) (or (not (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (not (= tptp.sk6 (tptp.skaf83 tptp.sk9))) (not (= tptp.sk11 (tptp.skaf83 tptp.sk9)))))) (not (or (not (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil)))) (not (not (= tptp.sk6 tptp.sk11))) (not (= tptp.sk6 (tptp.skaf83 tptp.sk9))) (not (= tptp.sk11 (tptp.skaf83 tptp.sk9))))) (or (not (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (not (= tptp.sk6 (tptp.skaf83 tptp.sk9))) (not (= tptp.sk11 (tptp.skaf83 tptp.sk9))))) :rule equiv_pos2)
% 78.07/78.32  (step t332 (cl (= (not (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil)))))) :rule refl)
% 78.07/78.32  (step t333 (cl (= (= (= (not (not (= tptp.sk6 tptp.sk11))) (= tptp.sk6 tptp.sk11)) true) (= (not (not (= tptp.sk6 tptp.sk11))) (= tptp.sk6 tptp.sk11)))) :rule equiv_simplify)
% 78.07/78.32  (step t334 (cl (not (= (= (not (not (= tptp.sk6 tptp.sk11))) (= tptp.sk6 tptp.sk11)) true)) (= (not (not (= tptp.sk6 tptp.sk11))) (= tptp.sk6 tptp.sk11))) :rule equiv1 :premises (t333))
% 78.07/78.32  (step t335 (cl (= (= (not (not (= tptp.sk6 tptp.sk11))) (= tptp.sk6 tptp.sk11)) (= (= tptp.sk6 tptp.sk11) (not (not (= tptp.sk6 tptp.sk11)))))) :rule all_simplify)
% 78.07/78.32  (step t336 (cl (= (= tptp.sk6 tptp.sk11) (= tptp.sk6 tptp.sk11))) :rule refl)
% 78.07/78.32  (step t337 (cl (= (not (not (= tptp.sk6 tptp.sk11))) (= tptp.sk6 tptp.sk11))) :rule all_simplify)
% 78.07/78.32  (step t338 (cl (= (= (= tptp.sk6 tptp.sk11) (not (not (= tptp.sk6 tptp.sk11)))) (= (= tptp.sk6 tptp.sk11) (= tptp.sk6 tptp.sk11)))) :rule cong :premises (t336 t337))
% 78.07/78.32  (step t339 (cl (= (= (= tptp.sk6 tptp.sk11) (= tptp.sk6 tptp.sk11)) true)) :rule all_simplify)
% 78.07/78.32  (step t340 (cl (= (= (= tptp.sk6 tptp.sk11) (not (not (= tptp.sk6 tptp.sk11)))) true)) :rule trans :premises (t338 t339))
% 78.07/78.32  (step t341 (cl (= (= (not (not (= tptp.sk6 tptp.sk11))) (= tptp.sk6 tptp.sk11)) true)) :rule trans :premises (t335 t340))
% 78.07/78.32  (step t342 (cl (= (not (not (= tptp.sk6 tptp.sk11))) (= tptp.sk6 tptp.sk11))) :rule resolution :premises (t334 t341))
% 78.07/78.32  (step t343 (cl (= (not (= tptp.sk6 (tptp.skaf83 tptp.sk9))) (not (= tptp.sk6 (tptp.skaf83 tptp.sk9))))) :rule refl)
% 78.07/78.32  (step t344 (cl (= (not (= tptp.sk11 (tptp.skaf83 tptp.sk9))) (not (= tptp.sk11 (tptp.skaf83 tptp.sk9))))) :rule refl)
% 78.07/78.32  (step t345 (cl (= (or (not (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil)))) (not (not (= tptp.sk6 tptp.sk11))) (not (= tptp.sk6 (tptp.skaf83 tptp.sk9))) (not (= tptp.sk11 (tptp.skaf83 tptp.sk9)))) (or (not (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (not (= tptp.sk6 (tptp.skaf83 tptp.sk9))) (not (= tptp.sk11 (tptp.skaf83 tptp.sk9)))))) :rule cong :premises (t332 t342 t343 t344))
% 78.07/78.32  (step t346 (cl (not (= (=> (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (not (= tptp.sk6 tptp.sk11)) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9))) (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)) (not (= tptp.sk6 tptp.sk11)))) (not (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (not (= tptp.sk6 tptp.sk11)) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)))))) (not (=> (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (not (= tptp.sk6 tptp.sk11)) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9))) (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)) (not (= tptp.sk6 tptp.sk11))))) (not (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (not (= tptp.sk6 tptp.sk11)) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9))))) :rule equiv_pos2)
% 78.07/78.32  (step t347 (cl (= (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (not (= tptp.sk6 tptp.sk11)) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9))) (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (not (= tptp.sk6 tptp.sk11)) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9))))) :rule refl)
% 78.07/78.32  (step t348 (cl (= (= (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)) (not (= tptp.sk6 tptp.sk11))) false) (not (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)) (not (= tptp.sk6 tptp.sk11)))))) :rule equiv_simplify)
% 78.07/78.32  (step t349 (cl (= (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)) (not (= tptp.sk6 tptp.sk11))) false) (not (not (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)) (not (= tptp.sk6 tptp.sk11)))))) :rule equiv2 :premises (t348))
% 78.07/78.32  (step t350 (cl (not (not (not (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)) (not (= tptp.sk6 tptp.sk11)))))) (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)) (not (= tptp.sk6 tptp.sk11)))) :rule not_not)
% 78.07/78.32  (step t351 (cl (= (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)) (not (= tptp.sk6 tptp.sk11))) false) (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)) (not (= tptp.sk6 tptp.sk11)))) :rule resolution :premises (t349 t350))
% 78.07/78.32  (step t352 (cl (=> (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)) (not (= tptp.sk6 tptp.sk11))) false) (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)) (not (= tptp.sk6 tptp.sk11)))) :rule implies_neg1)
% 78.07/78.32  (anchor :step t353)
% 78.07/78.32  (assume t353.a0 (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))))
% 78.07/78.32  (assume t353.a1 (= tptp.sk6 (tptp.skaf83 tptp.sk9)))
% 78.07/78.32  (assume t353.a2 (= tptp.sk11 (tptp.skaf83 tptp.sk9)))
% 78.07/78.32  (assume t353.a3 (not (= tptp.sk6 tptp.sk11)))
% 78.07/78.32  (step t353.t1 (cl (not (= (= false true) false)) (not (= false true)) false) :rule equiv_pos2)
% 78.07/78.32  (step t353.t2 (cl (= (= false true) false)) :rule all_simplify)
% 78.07/78.32  (step t353.t3 (cl (= (= (= tptp.sk6 tptp.sk11) false) (not (= tptp.sk6 tptp.sk11)))) :rule equiv_simplify)
% 78.07/78.32  (step t353.t4 (cl (= (= tptp.sk6 tptp.sk11) false) (not (not (= tptp.sk6 tptp.sk11)))) :rule equiv2 :premises (t353.t3))
% 78.07/78.32  (step t353.t5 (cl (not (not (not (= tptp.sk6 tptp.sk11)))) (= tptp.sk6 tptp.sk11)) :rule not_not)
% 78.07/78.32  (step t353.t6 (cl (= (= tptp.sk6 tptp.sk11) false) (= tptp.sk6 tptp.sk11)) :rule resolution :premises (t353.t4 t353.t5))
% 78.07/78.32  (step t353.t7 (cl (= (= tptp.sk6 tptp.sk11) false)) :rule resolution :premises (t353.t6 t353.a3))
% 78.07/78.32  (step t353.t8 (cl (= false (= tptp.sk6 tptp.sk11))) :rule symm :premises (t353.t7))
% 78.07/78.32  (step t353.t9 (cl (= (= (= tptp.sk6 tptp.sk11) true) (= tptp.sk6 tptp.sk11))) :rule equiv_simplify)
% 78.07/78.32  (step t353.t10 (cl (= (= tptp.sk6 tptp.sk11) true) (not (= tptp.sk6 tptp.sk11))) :rule equiv2 :premises (t353.t9))
% 78.07/78.32  (step t353.t11 (cl (= (tptp.hd (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6)) :rule symm :premises (t353.a0))
% 78.07/78.32  (step t353.t12 (cl (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil)))) :rule symm :premises (t353.t11))
% 78.07/78.32  (step t353.t13 (cl (= (tptp.skaf83 tptp.sk9) tptp.sk11)) :rule symm :premises (t353.a2))
% 78.07/78.32  (step t353.t14 (cl (= tptp.sk11 (tptp.skaf83 tptp.sk9))) :rule symm :premises (t353.t13))
% 78.07/78.32  (step t353.t15 (cl (= (tptp.skaf83 tptp.sk9) tptp.sk6)) :rule symm :premises (t353.a1))
% 78.07/78.32  (step t353.t16 (cl (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk6 tptp.nil)))) :rule trans :premises (t353.t14 t353.t15 t353.t12))
% 78.07/78.32  (step t353.t17 (cl (= (tptp.hd (tptp.cons tptp.sk6 tptp.nil)) tptp.sk11)) :rule symm :premises (t353.t16))
% 78.07/78.32  (step t353.t18 (cl (= tptp.sk6 tptp.sk11)) :rule trans :premises (t353.t12 t353.t17))
% 78.07/78.32  (step t353.t19 (cl (= (= tptp.sk6 tptp.sk11) true)) :rule resolution :premises (t353.t10 t353.t18))
% 78.07/78.32  (step t353.t20 (cl (= false true)) :rule trans :premises (t353.t8 t353.t19))
% 78.07/78.32  (step t353.t21 (cl false) :rule resolution :premises (t353.t1 t353.t2 t353.t20))
% 78.07/78.32  (step t353 (cl (not (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.sk6 (tptp.skaf83 tptp.sk9))) (not (= tptp.sk11 (tptp.skaf83 tptp.sk9))) (not (not (= tptp.sk6 tptp.sk11))) false) :rule subproof :discharge (t353.a0 t353.a1 t353.a2 t353.a3))
% 78.07/78.32  (step t354 (cl (not (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)) (not (= tptp.sk6 tptp.sk11)))) (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil)))) :rule and_pos)
% 78.07/78.32  (step t355 (cl (not (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)) (not (= tptp.sk6 tptp.sk11)))) (= tptp.sk6 (tptp.skaf83 tptp.sk9))) :rule and_pos)
% 78.07/78.32  (step t356 (cl (not (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)) (not (= tptp.sk6 tptp.sk11)))) (= tptp.sk11 (tptp.skaf83 tptp.sk9))) :rule and_pos)
% 78.07/78.32  (step t357 (cl (not (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)) (not (= tptp.sk6 tptp.sk11)))) (not (= tptp.sk6 tptp.sk11))) :rule and_pos)
% 78.07/78.32  (step t358 (cl false (not (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)) (not (= tptp.sk6 tptp.sk11)))) (not (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)) (not (= tptp.sk6 tptp.sk11)))) (not (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)) (not (= tptp.sk6 tptp.sk11)))) (not (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)) (not (= tptp.sk6 tptp.sk11))))) :rule resolution :premises (t353 t354 t355 t356 t357))
% 78.07/78.32  (step t359 (cl (not (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)) (not (= tptp.sk6 tptp.sk11)))) (not (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)) (not (= tptp.sk6 tptp.sk11)))) (not (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)) (not (= tptp.sk6 tptp.sk11)))) (not (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)) (not (= tptp.sk6 tptp.sk11)))) false) :rule reordering :premises (t358))
% 78.07/78.32  (step t360 (cl (not (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)) (not (= tptp.sk6 tptp.sk11)))) false) :rule contraction :premises (t359))
% 78.07/78.32  (step t361 (cl (=> (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)) (not (= tptp.sk6 tptp.sk11))) false) false) :rule resolution :premises (t352 t360))
% 78.07/78.32  (step t362 (cl (=> (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)) (not (= tptp.sk6 tptp.sk11))) false) (not false)) :rule implies_neg2)
% 78.07/78.32  (step t363 (cl (=> (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)) (not (= tptp.sk6 tptp.sk11))) false) (=> (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)) (not (= tptp.sk6 tptp.sk11))) false)) :rule resolution :premises (t361 t362))
% 78.07/78.32  (step t364 (cl (=> (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)) (not (= tptp.sk6 tptp.sk11))) false)) :rule contraction :premises (t363))
% 78.07/78.32  (step t365 (cl (= (=> (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)) (not (= tptp.sk6 tptp.sk11))) false) (not (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)) (not (= tptp.sk6 tptp.sk11)))))) :rule implies_simplify)
% 78.07/78.32  (step t366 (cl (not (=> (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)) (not (= tptp.sk6 tptp.sk11))) false)) (not (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)) (not (= tptp.sk6 tptp.sk11))))) :rule equiv1 :premises (t365))
% 78.07/78.32  (step t367 (cl (not (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)) (not (= tptp.sk6 tptp.sk11))))) :rule resolution :premises (t364 t366))
% 78.07/78.32  (step t368 (cl (= (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)) (not (= tptp.sk6 tptp.sk11))) false)) :rule resolution :premises (t351 t367))
% 78.07/78.32  (step t369 (cl (= (=> (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (not (= tptp.sk6 tptp.sk11)) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9))) (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)) (not (= tptp.sk6 tptp.sk11)))) (=> (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (not (= tptp.sk6 tptp.sk11)) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9))) false))) :rule cong :premises (t347 t368))
% 78.07/78.32  (step t370 (cl (= (=> (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (not (= tptp.sk6 tptp.sk11)) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9))) false) (not (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (not (= tptp.sk6 tptp.sk11)) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)))))) :rule all_simplify)
% 78.07/78.32  (step t371 (cl (= (=> (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (not (= tptp.sk6 tptp.sk11)) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9))) (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)) (not (= tptp.sk6 tptp.sk11)))) (not (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (not (= tptp.sk6 tptp.sk11)) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)))))) :rule trans :premises (t369 t370))
% 78.07/78.32  (step t372 (cl (=> (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (not (= tptp.sk6 tptp.sk11)) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9))) (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)) (not (= tptp.sk6 tptp.sk11)))) (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (not (= tptp.sk6 tptp.sk11)) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)))) :rule implies_neg1)
% 78.07/78.32  (anchor :step t373)
% 78.07/78.32  (assume t373.a0 (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))))
% 78.07/78.32  (assume t373.a1 (not (= tptp.sk6 tptp.sk11)))
% 78.07/78.32  (assume t373.a2 (= tptp.sk6 (tptp.skaf83 tptp.sk9)))
% 78.07/78.32  (assume t373.a3 (= tptp.sk11 (tptp.skaf83 tptp.sk9)))
% 78.07/78.32  (step t373.t1 (cl (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)) (not (= tptp.sk6 tptp.sk11))) (not (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.sk6 (tptp.skaf83 tptp.sk9))) (not (= tptp.sk11 (tptp.skaf83 tptp.sk9))) (not (not (= tptp.sk6 tptp.sk11)))) :rule and_neg)
% 78.07/78.32  (step t373.t2 (cl (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)) (not (= tptp.sk6 tptp.sk11)))) :rule resolution :premises (t373.t1 t373.a0 t373.a2 t373.a3 t373.a1))
% 78.07/78.32  (step t373 (cl (not (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil)))) (not (not (= tptp.sk6 tptp.sk11))) (not (= tptp.sk6 (tptp.skaf83 tptp.sk9))) (not (= tptp.sk11 (tptp.skaf83 tptp.sk9))) (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)) (not (= tptp.sk6 tptp.sk11)))) :rule subproof :discharge (t373.a0 t373.a1 t373.a2 t373.a3))
% 78.07/78.32  (step t374 (cl (not (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (not (= tptp.sk6 tptp.sk11)) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)))) (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil)))) :rule and_pos)
% 78.07/78.32  (step t375 (cl (not (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (not (= tptp.sk6 tptp.sk11)) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)))) (not (= tptp.sk6 tptp.sk11))) :rule and_pos)
% 78.07/78.32  (step t376 (cl (not (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (not (= tptp.sk6 tptp.sk11)) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)))) (= tptp.sk6 (tptp.skaf83 tptp.sk9))) :rule and_pos)
% 78.07/78.32  (step t377 (cl (not (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (not (= tptp.sk6 tptp.sk11)) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)))) (= tptp.sk11 (tptp.skaf83 tptp.sk9))) :rule and_pos)
% 78.07/78.32  (step t378 (cl (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)) (not (= tptp.sk6 tptp.sk11))) (not (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (not (= tptp.sk6 tptp.sk11)) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)))) (not (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (not (= tptp.sk6 tptp.sk11)) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)))) (not (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (not (= tptp.sk6 tptp.sk11)) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)))) (not (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (not (= tptp.sk6 tptp.sk11)) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9))))) :rule resolution :premises (t373 t374 t375 t376 t377))
% 78.07/78.32  (step t379 (cl (not (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (not (= tptp.sk6 tptp.sk11)) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)))) (not (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (not (= tptp.sk6 tptp.sk11)) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)))) (not (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (not (= tptp.sk6 tptp.sk11)) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)))) (not (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (not (= tptp.sk6 tptp.sk11)) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)))) (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)) (not (= tptp.sk6 tptp.sk11)))) :rule reordering :premises (t378))
% 78.07/78.32  (step t380 (cl (not (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (not (= tptp.sk6 tptp.sk11)) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)))) (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)) (not (= tptp.sk6 tptp.sk11)))) :rule contraction :premises (t379))
% 78.07/78.32  (step t381 (cl (=> (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (not (= tptp.sk6 tptp.sk11)) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9))) (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)) (not (= tptp.sk6 tptp.sk11)))) (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)) (not (= tptp.sk6 tptp.sk11)))) :rule resolution :premises (t372 t380))
% 78.07/78.32  (step t382 (cl (=> (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (not (= tptp.sk6 tptp.sk11)) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9))) (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)) (not (= tptp.sk6 tptp.sk11)))) (not (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)) (not (= tptp.sk6 tptp.sk11))))) :rule implies_neg2)
% 78.07/78.32  (step t383 (cl (=> (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (not (= tptp.sk6 tptp.sk11)) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9))) (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)) (not (= tptp.sk6 tptp.sk11)))) (=> (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (not (= tptp.sk6 tptp.sk11)) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9))) (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)) (not (= tptp.sk6 tptp.sk11))))) :rule resolution :premises (t381 t382))
% 78.07/78.32  (step t384 (cl (=> (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (not (= tptp.sk6 tptp.sk11)) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9))) (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)) (not (= tptp.sk6 tptp.sk11))))) :rule contraction :premises (t383))
% 78.07/78.32  (step t385 (cl (not (and (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (not (= tptp.sk6 tptp.sk11)) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9))))) :rule resolution :premises (t346 t371 t384))
% 78.07/78.32  (step t386 (cl (not (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil)))) (not (not (= tptp.sk6 tptp.sk11))) (not (= tptp.sk6 (tptp.skaf83 tptp.sk9))) (not (= tptp.sk11 (tptp.skaf83 tptp.sk9)))) :rule not_and :premises (t385))
% 78.07/78.32  (step t387 (cl (or (not (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil)))) (not (not (= tptp.sk6 tptp.sk11))) (not (= tptp.sk6 (tptp.skaf83 tptp.sk9))) (not (= tptp.sk11 (tptp.skaf83 tptp.sk9)))) (not (not (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil)))))) :rule or_neg)
% 78.07/78.32  (step t388 (cl (or (not (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil)))) (not (not (= tptp.sk6 tptp.sk11))) (not (= tptp.sk6 (tptp.skaf83 tptp.sk9))) (not (= tptp.sk11 (tptp.skaf83 tptp.sk9)))) (not (not (not (= tptp.sk6 tptp.sk11))))) :rule or_neg)
% 78.07/78.32  (step t389 (cl (or (not (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil)))) (not (not (= tptp.sk6 tptp.sk11))) (not (= tptp.sk6 (tptp.skaf83 tptp.sk9))) (not (= tptp.sk11 (tptp.skaf83 tptp.sk9)))) (not (not (= tptp.sk6 (tptp.skaf83 tptp.sk9))))) :rule or_neg)
% 78.07/78.32  (step t390 (cl (or (not (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil)))) (not (not (= tptp.sk6 tptp.sk11))) (not (= tptp.sk6 (tptp.skaf83 tptp.sk9))) (not (= tptp.sk11 (tptp.skaf83 tptp.sk9)))) (not (not (= tptp.sk11 (tptp.skaf83 tptp.sk9))))) :rule or_neg)
% 78.07/78.32  (step t391 (cl (or (not (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil)))) (not (not (= tptp.sk6 tptp.sk11))) (not (= tptp.sk6 (tptp.skaf83 tptp.sk9))) (not (= tptp.sk11 (tptp.skaf83 tptp.sk9)))) (or (not (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil)))) (not (not (= tptp.sk6 tptp.sk11))) (not (= tptp.sk6 (tptp.skaf83 tptp.sk9))) (not (= tptp.sk11 (tptp.skaf83 tptp.sk9)))) (or (not (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil)))) (not (not (= tptp.sk6 tptp.sk11))) (not (= tptp.sk6 (tptp.skaf83 tptp.sk9))) (not (= tptp.sk11 (tptp.skaf83 tptp.sk9)))) (or (not (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil)))) (not (not (= tptp.sk6 tptp.sk11))) (not (= tptp.sk6 (tptp.skaf83 tptp.sk9))) (not (= tptp.sk11 (tptp.skaf83 tptp.sk9))))) :rule resolution :premises (t386 t387 t388 t389 t390))
% 78.07/78.32  (step t392 (cl (or (not (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil)))) (not (not (= tptp.sk6 tptp.sk11))) (not (= tptp.sk6 (tptp.skaf83 tptp.sk9))) (not (= tptp.sk11 (tptp.skaf83 tptp.sk9))))) :rule contraction :premises (t391))
% 78.07/78.32  (step t393 (cl (or (not (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (not (= tptp.sk6 (tptp.skaf83 tptp.sk9))) (not (= tptp.sk11 (tptp.skaf83 tptp.sk9))))) :rule resolution :premises (t331 t345 t392))
% 78.07/78.32  (step t394 (cl (not (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (not (= tptp.sk6 (tptp.skaf83 tptp.sk9))) (not (= tptp.sk11 (tptp.skaf83 tptp.sk9)))) :rule or :premises (t393))
% 78.07/78.32  (step t395 (cl (= tptp.sk6 tptp.sk11) (not (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.sk6 (tptp.skaf83 tptp.sk9))) (not (= tptp.sk11 (tptp.skaf83 tptp.sk9)))) :rule reordering :premises (t394))
% 78.07/78.32  (step t396 (cl (not (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil)))) :rule or_pos)
% 78.07/78.32  (step t397 (cl (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))) (not (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil)))))) :rule reordering :premises (t396))
% 78.07/78.32  (step t398 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) :rule implies_neg1)
% 78.07/78.32  (anchor :step t399)
% 78.07/78.32  (assume t399.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))))
% 78.07/78.32  (step t399.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil)))))) :rule forall_inst :args ((:= U tptp.sk6) (:= V tptp.nil)))
% 78.07/78.32  (step t399.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))))) :rule or :premises (t399.t1))
% 78.07/78.32  (step t399.t3 (cl (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t399.t2 t399.a0))
% 78.07/78.32  (step t399 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))))) :rule subproof :discharge (t399.a0))
% 78.07/78.32  (step t400 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t398 t399))
% 78.07/78.32  (step t401 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))))) (not (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil)))))) :rule implies_neg2)
% 78.07/78.32  (step t402 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil)))))) :rule resolution :premises (t400 t401))
% 78.07/78.32  (step t403 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil)))))) :rule contraction :premises (t402))
% 78.07/78.32  (step t404 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))))) :rule implies :premises (t403))
% 78.07/78.32  (step t405 (cl (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t404 t215))
% 78.07/78.32  (step t406 (cl (= tptp.sk6 (tptp.hd (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t397 a7 a192 t405))
% 78.07/78.32  (step t407 (cl (not (or (not (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) (tptp.skaf83 tptp.sk9))) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk11)) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)))) (not (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) (tptp.skaf83 tptp.sk9))) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk11)) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9))) :rule or_pos)
% 78.07/78.32  (step t408 (cl (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk11)) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)) (not (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) (tptp.skaf83 tptp.sk9))) (= tptp.sk11 (tptp.skaf83 tptp.sk9)) (not (or (not (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) (tptp.skaf83 tptp.sk9))) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk11)) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9))))) :rule reordering :premises (t407))
% 78.07/78.32  (step t409 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W))) (or (not (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) (tptp.skaf83 tptp.sk9))) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk11)) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W)))) :rule implies_neg1)
% 78.07/78.32  (anchor :step t410)
% 78.07/78.32  (assume t410.a0 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W))))
% 78.07/78.32  (step t410.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W)))) (or (not (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) (tptp.skaf83 tptp.sk9))) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk11)) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9))))) :rule forall_inst :args ((:= U tptp.sk11) (:= V tptp.nil) (:= W (tptp.skaf83 tptp.sk9))))
% 78.07/78.32  (step t410.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W)))) (or (not (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) (tptp.skaf83 tptp.sk9))) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk11)) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)))) :rule or :premises (t410.t1))
% 78.07/78.32  (step t410.t3 (cl (or (not (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) (tptp.skaf83 tptp.sk9))) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk11)) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)))) :rule resolution :premises (t410.t2 t410.a0))
% 78.07/78.32  (step t410 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W)))) (or (not (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) (tptp.skaf83 tptp.sk9))) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk11)) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)))) :rule subproof :discharge (t410.a0))
% 78.07/78.32  (step t411 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W))) (or (not (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) (tptp.skaf83 tptp.sk9))) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk11)) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)))) (or (not (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) (tptp.skaf83 tptp.sk9))) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk11)) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)))) :rule resolution :premises (t409 t410))
% 78.07/78.32  (step t412 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W))) (or (not (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) (tptp.skaf83 tptp.sk9))) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk11)) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)))) (not (or (not (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) (tptp.skaf83 tptp.sk9))) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk11)) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9))))) :rule implies_neg2)
% 78.07/78.32  (step t413 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W))) (or (not (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) (tptp.skaf83 tptp.sk9))) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk11)) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)))) (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W))) (or (not (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) (tptp.skaf83 tptp.sk9))) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk11)) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9))))) :rule resolution :premises (t411 t412))
% 78.07/78.32  (step t414 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W))) (or (not (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) (tptp.skaf83 tptp.sk9))) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk11)) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9))))) :rule contraction :premises (t413))
% 78.07/78.32  (step t415 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W)))) (or (not (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) (tptp.skaf83 tptp.sk9))) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk11)) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)))) :rule implies :premises (t414))
% 78.07/78.32  (step t416 (cl (not (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= W U))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W))))) (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= W U)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W)))) :rule equiv_pos2)
% 78.07/78.32  (anchor :step t417 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V) (W $$unsorted) (:= W W)))
% 78.07/78.32  (step t417.t1 (cl (= U U)) :rule refl)
% 78.07/78.32  (step t417.t2 (cl (= V V)) :rule refl)
% 78.07/78.32  (step t417.t3 (cl (= W W)) :rule refl)
% 78.07/78.32  (step t417.t4 (cl (= (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.memberP (tptp.cons U V) W)))) :rule refl)
% 78.07/78.32  (step t417.t5 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 78.07/78.32  (step t417.t6 (cl (= (not (tptp.ssItem U)) (not (tptp.ssItem U)))) :rule refl)
% 78.07/78.32  (step t417.t7 (cl (= (not (tptp.ssItem W)) (not (tptp.ssItem W)))) :rule refl)
% 78.07/78.32  (step t417.t8 (cl (= (tptp.memberP V W) (tptp.memberP V W))) :rule refl)
% 78.07/78.32  (step t417.t9 (cl (= (= W U) (= U W))) :rule all_simplify)
% 78.07/78.32  (step t417.t10 (cl (= (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= W U)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W)))) :rule cong :premises (t417.t4 t417.t5 t417.t6 t417.t7 t417.t8 t417.t9))
% 78.07/78.32  (step t417 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= W U))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W))))) :rule bind)
% 78.07/78.32  (step t418 (cl (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W)))) :rule resolution :premises (t416 t417 a160))
% 78.07/78.32  (step t419 (cl (or (not (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) (tptp.skaf83 tptp.sk9))) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk11)) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.skaf83 tptp.sk9)))) :rule resolution :premises (t415 t418))
% 78.07/78.32  (step t420 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 tptp.sk9))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) :rule implies_neg1)
% 78.07/78.32  (anchor :step t421)
% 78.07/78.32  (assume t421.a0 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))))
% 78.07/78.32  (step t421.t1 (cl (or (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) (tptp.ssItem (tptp.skaf83 tptp.sk9)))) :rule forall_inst :args ((:= U tptp.sk9)))
% 78.07/78.32  (step t421.t2 (cl (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) (tptp.ssItem (tptp.skaf83 tptp.sk9))) :rule or :premises (t421.t1))
% 78.07/78.32  (step t421.t3 (cl (tptp.ssItem (tptp.skaf83 tptp.sk9))) :rule resolution :premises (t421.t2 t421.a0))
% 78.07/78.32  (step t421 (cl (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) (tptp.ssItem (tptp.skaf83 tptp.sk9))) :rule subproof :discharge (t421.a0))
% 78.07/78.32  (step t422 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 tptp.sk9))) (tptp.ssItem (tptp.skaf83 tptp.sk9))) :rule resolution :premises (t420 t421))
% 78.07/78.32  (step t423 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssItem (tptp.skaf83 tptp.sk9)))) :rule implies_neg2)
% 78.07/78.32  (step t424 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 tptp.sk9))) (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 tptp.sk9)))) :rule resolution :premises (t422 t423))
% 78.07/78.32  (step t425 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 tptp.sk9)))) :rule contraction :premises (t424))
% 78.07/78.32  (step t426 (cl (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) (tptp.ssItem (tptp.skaf83 tptp.sk9))) :rule implies :premises (t425))
% 78.07/78.32  (step t427 (cl (tptp.ssItem (tptp.skaf83 tptp.sk9))) :rule resolution :premises (t426 a11))
% 78.07/78.32  (step t428 (cl (not (or (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssItem tptp.sk6)) (not (tptp.equalelemsP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) (= tptp.sk6 (tptp.skaf83 tptp.sk9)))) (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssItem tptp.sk6)) (not (tptp.equalelemsP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) (= tptp.sk6 (tptp.skaf83 tptp.sk9))) :rule or_pos)
% 78.07/78.32  (step t429 (cl (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (not (tptp.equalelemsP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) (not (or (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssItem tptp.sk6)) (not (tptp.equalelemsP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) (= tptp.sk6 (tptp.skaf83 tptp.sk9))))) :rule reordering :premises (t428))
% 78.07/78.32  (step t430 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.ssList X)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.equalelemsP (tptp.app U (tptp.cons V (tptp.cons W X))))) (not (tptp.ssList (tptp.app U (tptp.cons V (tptp.cons W X))))) (= V W))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssItem tptp.sk6)) (not (tptp.equalelemsP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) (= tptp.sk6 (tptp.skaf83 tptp.sk9)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.ssList X)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.equalelemsP (tptp.app U (tptp.cons V (tptp.cons W X))))) (not (tptp.ssList (tptp.app U (tptp.cons V (tptp.cons W X))))) (= V W)))) :rule implies_neg1)
% 78.07/78.32  (anchor :step t431)
% 78.07/78.32  (assume t431.a0 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.ssList X)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.equalelemsP (tptp.app U (tptp.cons V (tptp.cons W X))))) (not (tptp.ssList (tptp.app U (tptp.cons V (tptp.cons W X))))) (= V W))))
% 78.07/78.32  (step t431.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.ssList X)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.equalelemsP (tptp.app U (tptp.cons V (tptp.cons W X))))) (not (tptp.ssList (tptp.app U (tptp.cons V (tptp.cons W X))))) (= V W)))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssItem tptp.sk6)) (not (tptp.equalelemsP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) (= tptp.sk6 (tptp.skaf83 tptp.sk9))))) :rule forall_inst :args ((:= U (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (:= V tptp.sk6) (:= W (tptp.skaf83 tptp.sk9)) (:= X (tptp.skaf82 tptp.sk9))))
% 78.07/78.32  (step t431.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.ssList X)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.equalelemsP (tptp.app U (tptp.cons V (tptp.cons W X))))) (not (tptp.ssList (tptp.app U (tptp.cons V (tptp.cons W X))))) (= V W)))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssItem tptp.sk6)) (not (tptp.equalelemsP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) (= tptp.sk6 (tptp.skaf83 tptp.sk9)))) :rule or :premises (t431.t1))
% 78.07/78.32  (step t431.t3 (cl (or (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssItem tptp.sk6)) (not (tptp.equalelemsP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) (= tptp.sk6 (tptp.skaf83 tptp.sk9)))) :rule resolution :premises (t431.t2 t431.a0))
% 78.07/78.32  (step t431 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.ssList X)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.equalelemsP (tptp.app U (tptp.cons V (tptp.cons W X))))) (not (tptp.ssList (tptp.app U (tptp.cons V (tptp.cons W X))))) (= V W)))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssItem tptp.sk6)) (not (tptp.equalelemsP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) (= tptp.sk6 (tptp.skaf83 tptp.sk9)))) :rule subproof :discharge (t431.a0))
% 78.07/78.32  (step t432 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.ssList X)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.equalelemsP (tptp.app U (tptp.cons V (tptp.cons W X))))) (not (tptp.ssList (tptp.app U (tptp.cons V (tptp.cons W X))))) (= V W))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssItem tptp.sk6)) (not (tptp.equalelemsP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) (= tptp.sk6 (tptp.skaf83 tptp.sk9)))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssItem tptp.sk6)) (not (tptp.equalelemsP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) (= tptp.sk6 (tptp.skaf83 tptp.sk9)))) :rule resolution :premises (t430 t431))
% 78.07/78.32  (step t433 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.ssList X)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.equalelemsP (tptp.app U (tptp.cons V (tptp.cons W X))))) (not (tptp.ssList (tptp.app U (tptp.cons V (tptp.cons W X))))) (= V W))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssItem tptp.sk6)) (not (tptp.equalelemsP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) (= tptp.sk6 (tptp.skaf83 tptp.sk9)))) (not (or (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssItem tptp.sk6)) (not (tptp.equalelemsP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) (= tptp.sk6 (tptp.skaf83 tptp.sk9))))) :rule implies_neg2)
% 78.07/78.32  (step t434 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.ssList X)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.equalelemsP (tptp.app U (tptp.cons V (tptp.cons W X))))) (not (tptp.ssList (tptp.app U (tptp.cons V (tptp.cons W X))))) (= V W))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssItem tptp.sk6)) (not (tptp.equalelemsP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) (= tptp.sk6 (tptp.skaf83 tptp.sk9)))) (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.ssList X)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.equalelemsP (tptp.app U (tptp.cons V (tptp.cons W X))))) (not (tptp.ssList (tptp.app U (tptp.cons V (tptp.cons W X))))) (= V W))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssItem tptp.sk6)) (not (tptp.equalelemsP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) (= tptp.sk6 (tptp.skaf83 tptp.sk9))))) :rule resolution :premises (t432 t433))
% 78.07/78.32  (step t435 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.ssList X)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.equalelemsP (tptp.app U (tptp.cons V (tptp.cons W X))))) (not (tptp.ssList (tptp.app U (tptp.cons V (tptp.cons W X))))) (= V W))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssItem tptp.sk6)) (not (tptp.equalelemsP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) (= tptp.sk6 (tptp.skaf83 tptp.sk9))))) :rule contraction :premises (t434))
% 78.07/78.32  (step t436 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.ssList X)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.equalelemsP (tptp.app U (tptp.cons V (tptp.cons W X))))) (not (tptp.ssList (tptp.app U (tptp.cons V (tptp.cons W X))))) (= V W)))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssItem tptp.sk6)) (not (tptp.equalelemsP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) (= tptp.sk6 (tptp.skaf83 tptp.sk9)))) :rule implies :premises (t435))
% 78.07/78.32  (step t437 (cl (not (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.app U (tptp.cons V (tptp.cons W X))) Y)) (not (tptp.ssList X)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.equalelemsP Y)) (not (tptp.ssList Y)) (= V W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.ssList X)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.equalelemsP (tptp.app U (tptp.cons V (tptp.cons W X))))) (not (tptp.ssList (tptp.app U (tptp.cons V (tptp.cons W X))))) (= V W))))) (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.app U (tptp.cons V (tptp.cons W X))) Y)) (not (tptp.ssList X)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.equalelemsP Y)) (not (tptp.ssList Y)) (= V W)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.ssList X)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.equalelemsP (tptp.app U (tptp.cons V (tptp.cons W X))))) (not (tptp.ssList (tptp.app U (tptp.cons V (tptp.cons W X))))) (= V W)))) :rule equiv_pos2)
% 78.07/78.32  (anchor :step t438 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V) (W $$unsorted) (:= W W) (X $$unsorted) (:= X X) (Y $$unsorted) (:= Y Y)))
% 78.07/78.32  (step t438.t1 (cl (= U U)) :rule refl)
% 78.07/78.32  (step t438.t2 (cl (= V V)) :rule refl)
% 78.07/78.32  (step t438.t3 (cl (= W W)) :rule refl)
% 78.07/78.32  (step t438.t4 (cl (= X X)) :rule refl)
% 78.07/78.32  (step t438.t5 (cl (= Y Y)) :rule refl)
% 78.07/78.32  (step t438.t6 (cl (= (= (tptp.app U (tptp.cons V (tptp.cons W X))) Y) (= Y (tptp.app U (tptp.cons V (tptp.cons W X)))))) :rule all_simplify)
% 78.07/78.32  (step t438.t7 (cl (= (not (= (tptp.app U (tptp.cons V (tptp.cons W X))) Y)) (not (= Y (tptp.app U (tptp.cons V (tptp.cons W X))))))) :rule cong :premises (t438.t6))
% 78.07/78.32  (step t438.t8 (cl (= (not (tptp.ssList X)) (not (tptp.ssList X)))) :rule refl)
% 78.07/78.32  (step t438.t9 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 78.07/78.32  (step t438.t10 (cl (= (not (tptp.ssItem W)) (not (tptp.ssItem W)))) :rule refl)
% 78.07/78.32  (step t438.t11 (cl (= (not (tptp.ssItem V)) (not (tptp.ssItem V)))) :rule refl)
% 78.07/78.32  (step t438.t12 (cl (= (not (tptp.equalelemsP Y)) (not (tptp.equalelemsP Y)))) :rule refl)
% 78.07/78.32  (step t438.t13 (cl (= (not (tptp.ssList Y)) (not (tptp.ssList Y)))) :rule refl)
% 78.07/78.32  (step t438.t14 (cl (= (= V W) (= V W))) :rule refl)
% 78.07/78.32  (step t438.t15 (cl (= (or (not (= (tptp.app U (tptp.cons V (tptp.cons W X))) Y)) (not (tptp.ssList X)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.equalelemsP Y)) (not (tptp.ssList Y)) (= V W)) (or (not (= Y (tptp.app U (tptp.cons V (tptp.cons W X))))) (not (tptp.ssList X)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.equalelemsP Y)) (not (tptp.ssList Y)) (= V W)))) :rule cong :premises (t438.t7 t438.t8 t438.t9 t438.t10 t438.t11 t438.t12 t438.t13 t438.t14))
% 78.07/78.32  (step t438 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.app U (tptp.cons V (tptp.cons W X))) Y)) (not (tptp.ssList X)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.equalelemsP Y)) (not (tptp.ssList Y)) (= V W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (= Y (tptp.app U (tptp.cons V (tptp.cons W X))))) (not (tptp.ssList X)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.equalelemsP Y)) (not (tptp.ssList Y)) (= V W))))) :rule bind)
% 78.07/78.32  (step t439 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (= Y (tptp.app U (tptp.cons V (tptp.cons W X))))) (not (tptp.ssList X)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.equalelemsP Y)) (not (tptp.ssList Y)) (= V W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= (tptp.app U (tptp.cons V (tptp.cons W X))) (tptp.app U (tptp.cons V (tptp.cons W X))))) (not (tptp.ssList X)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.equalelemsP (tptp.app U (tptp.cons V (tptp.cons W X))))) (not (tptp.ssList (tptp.app U (tptp.cons V (tptp.cons W X))))) (= V W))))) :rule all_simplify)
% 78.07/78.32  (anchor :step t440 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V) (W $$unsorted) (:= W W) (X $$unsorted) (:= X X)))
% 78.07/78.32  (step t440.t1 (cl (= U U)) :rule refl)
% 78.07/78.32  (step t440.t2 (cl (= V V)) :rule refl)
% 78.07/78.32  (step t440.t3 (cl (= W W)) :rule refl)
% 78.07/78.32  (step t440.t4 (cl (= X X)) :rule refl)
% 78.07/78.32  (step t440.t5 (cl (= (= (tptp.app U (tptp.cons V (tptp.cons W X))) (tptp.app U (tptp.cons V (tptp.cons W X)))) true)) :rule all_simplify)
% 78.07/78.32  (step t440.t6 (cl (= (not (= (tptp.app U (tptp.cons V (tptp.cons W X))) (tptp.app U (tptp.cons V (tptp.cons W X))))) (not true))) :rule cong :premises (t440.t5))
% 78.07/78.32  (step t440.t7 (cl (= (not true) false)) :rule all_simplify)
% 78.07/78.32  (step t440.t8 (cl (= (not (= (tptp.app U (tptp.cons V (tptp.cons W X))) (tptp.app U (tptp.cons V (tptp.cons W X))))) false)) :rule trans :premises (t440.t6 t440.t7))
% 78.07/78.32  (step t440.t9 (cl (= (not (tptp.ssList X)) (not (tptp.ssList X)))) :rule refl)
% 78.07/78.32  (step t440.t10 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 78.07/78.32  (step t440.t11 (cl (= (not (tptp.ssItem W)) (not (tptp.ssItem W)))) :rule refl)
% 78.07/78.32  (step t440.t12 (cl (= (not (tptp.ssItem V)) (not (tptp.ssItem V)))) :rule refl)
% 78.07/78.32  (step t440.t13 (cl (= (not (tptp.equalelemsP (tptp.app U (tptp.cons V (tptp.cons W X))))) (not (tptp.equalelemsP (tptp.app U (tptp.cons V (tptp.cons W X))))))) :rule refl)
% 78.07/78.32  (step t440.t14 (cl (= (not (tptp.ssList (tptp.app U (tptp.cons V (tptp.cons W X))))) (not (tptp.ssList (tptp.app U (tptp.cons V (tptp.cons W X))))))) :rule refl)
% 78.07/78.32  (step t440.t15 (cl (= (= V W) (= V W))) :rule refl)
% 78.07/78.32  (step t440.t16 (cl (= (or (not (= (tptp.app U (tptp.cons V (tptp.cons W X))) (tptp.app U (tptp.cons V (tptp.cons W X))))) (not (tptp.ssList X)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.equalelemsP (tptp.app U (tptp.cons V (tptp.cons W X))))) (not (tptp.ssList (tptp.app U (tptp.cons V (tptp.cons W X))))) (= V W)) (or false (not (tptp.ssList X)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.equalelemsP (tptp.app U (tptp.cons V (tptp.cons W X))))) (not (tptp.ssList (tptp.app U (tptp.cons V (tptp.cons W X))))) (= V W)))) :rule cong :premises (t440.t8 t440.t9 t440.t10 t440.t11 t440.t12 t440.t13 t440.t14 t440.t15))
% 78.07/78.32  (step t440.t17 (cl (= (or false (not (tptp.ssList X)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.equalelemsP (tptp.app U (tptp.cons V (tptp.cons W X))))) (not (tptp.ssList (tptp.app U (tptp.cons V (tptp.cons W X))))) (= V W)) (or (not (tptp.ssList X)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.equalelemsP (tptp.app U (tptp.cons V (tptp.cons W X))))) (not (tptp.ssList (tptp.app U (tptp.cons V (tptp.cons W X))))) (= V W)))) :rule all_simplify)
% 78.07/78.32  (step t440.t18 (cl (= (or (not (= (tptp.app U (tptp.cons V (tptp.cons W X))) (tptp.app U (tptp.cons V (tptp.cons W X))))) (not (tptp.ssList X)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.equalelemsP (tptp.app U (tptp.cons V (tptp.cons W X))))) (not (tptp.ssList (tptp.app U (tptp.cons V (tptp.cons W X))))) (= V W)) (or (not (tptp.ssList X)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.equalelemsP (tptp.app U (tptp.cons V (tptp.cons W X))))) (not (tptp.ssList (tptp.app U (tptp.cons V (tptp.cons W X))))) (= V W)))) :rule trans :premises (t440.t16 t440.t17))
% 78.07/78.32  (step t440 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= (tptp.app U (tptp.cons V (tptp.cons W X))) (tptp.app U (tptp.cons V (tptp.cons W X))))) (not (tptp.ssList X)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.equalelemsP (tptp.app U (tptp.cons V (tptp.cons W X))))) (not (tptp.ssList (tptp.app U (tptp.cons V (tptp.cons W X))))) (= V W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.ssList X)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.equalelemsP (tptp.app U (tptp.cons V (tptp.cons W X))))) (not (tptp.ssList (tptp.app U (tptp.cons V (tptp.cons W X))))) (= V W))))) :rule bind)
% 78.07/78.32  (step t441 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (= Y (tptp.app U (tptp.cons V (tptp.cons W X))))) (not (tptp.ssList X)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.equalelemsP Y)) (not (tptp.ssList Y)) (= V W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.ssList X)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.equalelemsP (tptp.app U (tptp.cons V (tptp.cons W X))))) (not (tptp.ssList (tptp.app U (tptp.cons V (tptp.cons W X))))) (= V W))))) :rule trans :premises (t439 t440))
% 78.07/78.32  (step t442 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.app U (tptp.cons V (tptp.cons W X))) Y)) (not (tptp.ssList X)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.equalelemsP Y)) (not (tptp.ssList Y)) (= V W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.ssList X)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.equalelemsP (tptp.app U (tptp.cons V (tptp.cons W X))))) (not (tptp.ssList (tptp.app U (tptp.cons V (tptp.cons W X))))) (= V W))))) :rule trans :premises (t438 t441))
% 78.07/78.32  (step t443 (cl (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.ssList X)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.equalelemsP (tptp.app U (tptp.cons V (tptp.cons W X))))) (not (tptp.ssList (tptp.app U (tptp.cons V (tptp.cons W X))))) (= V W)))) :rule resolution :premises (t437 t442 a179))
% 78.07/78.32  (step t444 (cl (or (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssItem tptp.sk6)) (not (tptp.equalelemsP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) (= tptp.sk6 (tptp.skaf83 tptp.sk9)))) :rule resolution :premises (t436 t443))
% 78.07/78.32  (step t445 (cl (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 tptp.sk9))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) :rule implies_neg1)
% 78.07/78.32  (anchor :step t446)
% 78.07/78.32  (assume t446.a0 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))))
% 78.07/78.32  (step t446.t1 (cl (or (not (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) (tptp.ssList (tptp.skaf82 tptp.sk9)))) :rule forall_inst :args ((:= U tptp.sk9)))
% 78.07/78.32  (step t446.t2 (cl (not (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) (tptp.ssList (tptp.skaf82 tptp.sk9))) :rule or :premises (t446.t1))
% 78.07/78.32  (step t446.t3 (cl (tptp.ssList (tptp.skaf82 tptp.sk9))) :rule resolution :premises (t446.t2 t446.a0))
% 78.07/78.32  (step t446 (cl (not (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) (tptp.ssList (tptp.skaf82 tptp.sk9))) :rule subproof :discharge (t446.a0))
% 78.07/78.32  (step t447 (cl (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 tptp.sk9))) (tptp.ssList (tptp.skaf82 tptp.sk9))) :rule resolution :premises (t445 t446))
% 78.07/78.32  (step t448 (cl (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 tptp.sk9))) (not (tptp.ssList (tptp.skaf82 tptp.sk9)))) :rule implies_neg2)
% 78.07/78.32  (step t449 (cl (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 tptp.sk9))) (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 tptp.sk9)))) :rule resolution :premises (t447 t448))
% 78.07/78.32  (step t450 (cl (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 tptp.sk9)))) :rule contraction :premises (t449))
% 78.07/78.32  (step t451 (cl (not (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) (tptp.ssList (tptp.skaf82 tptp.sk9))) :rule implies :premises (t450))
% 78.07/78.32  (step t452 (cl (tptp.ssList (tptp.skaf82 tptp.sk9))) :rule resolution :premises (t451 a12))
% 78.07/78.32  (step t453 (cl (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9))) (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)))) :rule and_neg)
% 78.07/78.32  (step t454 (cl (=> (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9))) (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) (tptp.skaf83 tptp.sk9))) (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)))) :rule implies_neg1)
% 78.07/78.32  (anchor :step t455)
% 78.07/78.32  (assume t455.a0 (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)))
% 78.07/78.32  (assume t455.a1 (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))
% 78.07/78.32  (assume t455.a2 (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)))
% 78.07/78.32  (step t455.t1 (cl (=> (and (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) (tptp.skaf83 tptp.sk9))) (and (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)))) :rule implies_neg1)
% 78.07/78.32  (anchor :step t455.t2)
% 78.07/78.32  (assume t455.t2.a0 (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)))
% 78.07/78.32  (assume t455.t2.a1 (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))
% 78.07/78.32  (assume t455.t2.a2 (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)))
% 78.07/78.32  (step t455.t2.t1 (cl (= (= (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) (tptp.skaf83 tptp.sk9)) true) (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) (tptp.skaf83 tptp.sk9)))) :rule equiv_simplify)
% 78.07/78.32  (step t455.t2.t2 (cl (not (= (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) (tptp.skaf83 tptp.sk9)) true)) (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) (tptp.skaf83 tptp.sk9))) :rule equiv1 :premises (t455.t2.t1))
% 78.07/78.32  (step t455.t2.t3 (cl (= (tptp.cons tptp.sk11 tptp.nil) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) :rule symm :premises (t455.t2.a2))
% 78.07/78.32  (step t455.t2.t4 (cl (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) :rule refl)
% 78.07/78.32  (step t455.t2.t5 (cl (= (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)) tptp.sk9)) :rule symm :premises (t455.t2.a1))
% 78.07/78.32  (step t455.t2.t6 (cl (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) :rule symm :premises (t455.t2.t5))
% 78.07/78.32  (step t455.t2.t7 (cl (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) :rule cong :premises (t455.t2.t4 t455.t2.t6))
% 78.07/78.32  (step t455.t2.t8 (cl (= (tptp.cons tptp.sk11 tptp.nil) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) :rule trans :premises (t455.t2.t3 t455.t2.t7))
% 78.07/78.32  (step t455.t2.t9 (cl (= (tptp.skaf83 tptp.sk9) (tptp.skaf83 tptp.sk9))) :rule refl)
% 78.07/78.32  (step t455.t2.t10 (cl (= (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) (tptp.skaf83 tptp.sk9)) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)))) :rule cong :premises (t455.t2.t8 t455.t2.t9))
% 78.07/78.32  (step t455.t2.t11 (cl (= (= (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)) true) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)))) :rule equiv_simplify)
% 78.07/78.32  (step t455.t2.t12 (cl (= (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)) true) (not (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)))) :rule equiv2 :premises (t455.t2.t11))
% 78.07/78.32  (step t455.t2.t13 (cl (= (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)) true)) :rule resolution :premises (t455.t2.t12 t455.t2.a0))
% 78.07/78.32  (step t455.t2.t14 (cl (= (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) (tptp.skaf83 tptp.sk9)) true)) :rule trans :premises (t455.t2.t10 t455.t2.t13))
% 78.07/78.32  (step t455.t2.t15 (cl (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) (tptp.skaf83 tptp.sk9))) :rule resolution :premises (t455.t2.t2 t455.t2.t14))
% 78.07/78.32  (step t455.t2 (cl (not (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9))) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) (tptp.skaf83 tptp.sk9))) :rule subproof :discharge (t455.t2.a0 t455.t2.a1 t455.t2.a2))
% 78.07/78.32  (step t455.t3 (cl (not (and (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9))) :rule and_pos)
% 78.07/78.32  (step t455.t4 (cl (not (and (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) :rule and_pos)
% 78.07/78.32  (step t455.t5 (cl (not (and (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) :rule and_pos)
% 78.07/78.32  (step t455.t6 (cl (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) (tptp.skaf83 tptp.sk9)) (not (and (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)))) (not (and (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)))) (not (and (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))))) :rule resolution :premises (t455.t2 t455.t3 t455.t4 t455.t5))
% 78.07/78.32  (step t455.t7 (cl (not (and (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)))) (not (and (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)))) (not (and (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)))) (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) (tptp.skaf83 tptp.sk9))) :rule reordering :premises (t455.t6))
% 78.07/78.32  (step t455.t8 (cl (not (and (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)))) (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) (tptp.skaf83 tptp.sk9))) :rule contraction :premises (t455.t7))
% 78.07/78.32  (step t455.t9 (cl (=> (and (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) (tptp.skaf83 tptp.sk9))) (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) (tptp.skaf83 tptp.sk9))) :rule resolution :premises (t455.t1 t455.t8))
% 78.07/78.32  (step t455.t10 (cl (=> (and (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) (tptp.skaf83 tptp.sk9))) (not (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) (tptp.skaf83 tptp.sk9)))) :rule implies_neg2)
% 78.07/78.32  (step t455.t11 (cl (=> (and (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) (tptp.skaf83 tptp.sk9))) (=> (and (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) (tptp.skaf83 tptp.sk9)))) :rule resolution :premises (t455.t9 t455.t10))
% 78.07/78.32  (step t455.t12 (cl (=> (and (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) (tptp.skaf83 tptp.sk9)))) :rule contraction :premises (t455.t11))
% 78.07/78.32  (step t455.t13 (cl (not (and (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)))) (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) (tptp.skaf83 tptp.sk9))) :rule implies :premises (t455.t12))
% 78.07/78.32  (step t455.t14 (cl (and (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9))) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)))) :rule and_neg)
% 78.07/78.32  (step t455.t15 (cl (and (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)))) :rule resolution :premises (t455.t14 t455.a2 t455.a1 t455.a0))
% 78.07/78.32  (step t455.t16 (cl (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) (tptp.skaf83 tptp.sk9))) :rule resolution :premises (t455.t13 t455.t15))
% 78.07/78.32  (step t455 (cl (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9))) (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) (tptp.skaf83 tptp.sk9))) :rule subproof :discharge (t455.a0 t455.a1 t455.a2))
% 78.07/78.32  (step t456 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) :rule and_pos)
% 78.07/78.32  (step t457 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) :rule and_pos)
% 78.07/78.32  (step t458 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)))) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9))) :rule and_pos)
% 78.07/78.32  (step t459 (cl (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) (tptp.skaf83 tptp.sk9)) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9))))) :rule resolution :premises (t455 t456 t457 t458))
% 78.07/78.32  (step t460 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)))) (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) (tptp.skaf83 tptp.sk9))) :rule reordering :premises (t459))
% 78.07/78.32  (step t461 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)))) (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) (tptp.skaf83 tptp.sk9))) :rule contraction :premises (t460))
% 78.07/78.32  (step t462 (cl (=> (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9))) (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) (tptp.skaf83 tptp.sk9))) (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) (tptp.skaf83 tptp.sk9))) :rule resolution :premises (t454 t461))
% 78.07/78.32  (step t463 (cl (=> (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9))) (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) (tptp.skaf83 tptp.sk9))) (not (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) (tptp.skaf83 tptp.sk9)))) :rule implies_neg2)
% 78.07/78.32  (step t464 (cl (=> (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9))) (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) (tptp.skaf83 tptp.sk9))) (=> (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9))) (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) (tptp.skaf83 tptp.sk9)))) :rule resolution :premises (t462 t463))
% 78.07/78.32  (step t465 (cl (=> (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9))) (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) (tptp.skaf83 tptp.sk9)))) :rule contraction :premises (t464))
% 78.07/78.32  (step t466 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)))) (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) (tptp.skaf83 tptp.sk9))) :rule implies :premises (t465))
% 78.07/78.32  (step t467 (cl (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9))) (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) (tptp.skaf83 tptp.sk9))) :rule resolution :premises (t453 t466))
% 78.07/78.32  (step t468 (cl (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (not (= tptp.sk9 (tptp.app tptp.nil tptp.sk9))) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9)))) (not (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)))) :rule and_neg)
% 78.07/78.32  (step t469 (cl (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)))) :rule implies_neg1)
% 78.07/78.32  (anchor :step t470)
% 78.07/78.32  (assume t470.a0 (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))
% 78.07/78.32  (assume t470.a1 (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))
% 78.07/78.32  (assume t470.a2 (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))
% 78.07/78.32  (assume t470.a3 (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))))
% 78.07/78.32  (assume t470.a4 (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)))
% 78.07/78.32  (step t470.t1 (cl (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) :rule implies_neg1)
% 78.07/78.32  (anchor :step t470.t2)
% 78.07/78.32  (assume t470.t2.a0 (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))
% 78.07/78.32  (assume t470.t2.a1 (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))))
% 78.07/78.32  (assume t470.t2.a2 (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)))
% 78.07/78.32  (assume t470.t2.a3 (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))
% 78.07/78.32  (assume t470.t2.a4 (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))
% 78.07/78.32  (step t470.t2.t1 (cl (= (= (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) true) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))))) :rule equiv_simplify)
% 78.07/78.32  (step t470.t2.t2 (cl (not (= (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) true)) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) :rule equiv1 :premises (t470.t2.t1))
% 78.07/78.32  (step t470.t2.t3 (cl (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) :rule refl)
% 78.07/78.32  (step t470.t2.t4 (cl (= tptp.sk6 tptp.sk6)) :rule refl)
% 78.07/78.32  (step t470.t2.t5 (cl (= (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)) tptp.sk9)) :rule symm :premises (t470.t2.a4))
% 78.07/78.32  (step t470.t2.t6 (cl (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) :rule symm :premises (t470.t2.t5))
% 78.07/78.32  (step t470.t2.t7 (cl (= (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)) tptp.sk9)) :rule symm :premises (t470.t2.t6))
% 78.07/78.32  (step t470.t2.t8 (cl (= (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)) (tptp.app tptp.nil tptp.sk9))) :rule trans :premises (t470.t2.t7 t470.t2.a3))
% 78.07/78.32  (step t470.t2.t9 (cl (= (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9)))) :rule cong :premises (t470.t2.t4 t470.t2.t8))
% 78.07/78.32  (step t470.t2.t10 (cl (= (tptp.app tptp.nil tptp.sk9) tptp.sk9)) :rule symm :premises (t470.t2.a3))
% 78.07/78.32  (step t470.t2.t11 (cl (= (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9)) (tptp.cons tptp.sk6 tptp.sk9))) :rule cong :premises (t470.t2.t4 t470.t2.t10))
% 78.07/78.32  (step t470.t2.t12 (cl (= (tptp.cons tptp.sk6 tptp.sk9) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) :rule symm :premises (t470.t2.a2))
% 78.07/78.32  (step t470.t2.t13 (cl (= (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) :rule trans :premises (t470.t2.t9 t470.t2.t11 t470.t2.t12))
% 78.07/78.32  (step t470.t2.t14 (cl (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9)))) :rule cong :premises (t470.t2.t3 t470.t2.t13))
% 78.07/78.32  (step t470.t2.t15 (cl (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) :rule symm :premises (t470.t2.a1))
% 78.07/78.32  (step t470.t2.t16 (cl (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) :rule trans :premises (t470.t2.t14 t470.t2.t15))
% 78.07/78.32  (step t470.t2.t17 (cl (= (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) :rule cong :premises (t470.t2.t16))
% 78.07/78.32  (step t470.t2.t18 (cl (= (= (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) true) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) :rule equiv_simplify)
% 78.07/78.32  (step t470.t2.t19 (cl (= (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) true) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) :rule equiv2 :premises (t470.t2.t18))
% 78.07/78.32  (step t470.t2.t20 (cl (= (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) true)) :rule resolution :premises (t470.t2.t19 t470.t2.a0))
% 78.07/78.32  (step t470.t2.t21 (cl (= (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) true)) :rule trans :premises (t470.t2.t17 t470.t2.t20))
% 78.07/78.32  (step t470.t2.t22 (cl (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) :rule resolution :premises (t470.t2.t2 t470.t2.t21))
% 78.07/78.32  (step t470.t2 (cl (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9)))) (not (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9))) (not (= tptp.sk9 (tptp.app tptp.nil tptp.sk9))) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) :rule subproof :discharge (t470.t2.a0 t470.t2.a1 t470.t2.a2 t470.t2.a3 t470.t2.a4))
% 78.07/78.32  (step t470.t3 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) :rule and_pos)
% 78.07/78.32  (step t470.t4 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9)))) :rule and_pos)
% 78.07/78.32  (step t470.t5 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9))) :rule and_pos)
% 78.07/78.32  (step t470.t6 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9))) :rule and_pos)
% 78.07/78.32  (step t470.t7 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) :rule and_pos)
% 78.07/78.32  (step t470.t8 (cl (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) :rule resolution :premises (t470.t2 t470.t3 t470.t4 t470.t5 t470.t6 t470.t7))
% 78.07/78.32  (step t470.t9 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) :rule reordering :premises (t470.t8))
% 78.07/78.32  (step t470.t10 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) :rule contraction :premises (t470.t9))
% 78.07/78.32  (step t470.t11 (cl (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) :rule resolution :premises (t470.t1 t470.t10))
% 78.07/78.32  (step t470.t12 (cl (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))))) :rule implies_neg2)
% 78.07/78.32  (step t470.t13 (cl (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))))) :rule resolution :premises (t470.t11 t470.t12))
% 78.07/78.32  (step t470.t14 (cl (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))))) :rule contraction :premises (t470.t13))
% 78.07/78.32  (step t470.t15 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) :rule implies :premises (t470.t14))
% 78.07/78.32  (step t470.t16 (cl (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9)))) (not (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9))) (not (= tptp.sk9 (tptp.app tptp.nil tptp.sk9))) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) :rule and_neg)
% 78.07/78.32  (step t470.t17 (cl (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) :rule resolution :premises (t470.t16 t470.a0 t470.a3 t470.a4 t470.a1 t470.a2))
% 78.07/78.32  (step t470.t18 (cl (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) :rule resolution :premises (t470.t15 t470.t17))
% 78.07/78.32  (step t470 (cl (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (not (= tptp.sk9 (tptp.app tptp.nil tptp.sk9))) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9)))) (not (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) :rule subproof :discharge (t470.a0 t470.a1 t470.a2 t470.a3 t470.a4))
% 78.07/78.32  (step t471 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) :rule and_pos)
% 78.07/78.32  (step t472 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9))) :rule and_pos)
% 78.07/78.32  (step t473 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) :rule and_pos)
% 78.07/78.32  (step t474 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9)))) :rule and_pos)
% 78.07/78.32  (step t475 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9))) :rule and_pos)
% 78.07/78.32  (step t476 (cl (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9))))) :rule resolution :premises (t470 t471 t472 t473 t474 t475))
% 78.07/78.32  (step t477 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) :rule reordering :premises (t476))
% 78.07/78.32  (step t478 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) :rule contraction :premises (t477))
% 78.07/78.32  (step t479 (cl (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) :rule resolution :premises (t469 t478))
% 78.07/78.32  (step t480 (cl (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))))) :rule implies_neg2)
% 78.07/78.32  (step t481 (cl (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))))) :rule resolution :premises (t479 t480))
% 78.07/78.32  (step t482 (cl (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))))) :rule contraction :premises (t481))
% 78.07/78.32  (step t483 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) :rule implies :premises (t482))
% 78.07/78.32  (step t484 (cl (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (not (= tptp.sk9 (tptp.app tptp.nil tptp.sk9))) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9)))) (not (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) :rule resolution :premises (t468 t483))
% 78.07/78.32  (step t485 (cl (not (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9))) :rule or_pos)
% 78.07/78.32  (step t486 (cl (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (not (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9))))) :rule reordering :premises (t485))
% 78.07/78.32  (step t487 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V))))) :rule implies_neg1)
% 78.07/78.32  (anchor :step t488)
% 78.07/78.32  (assume t488.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))))
% 78.07/78.32  (step t488.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V))))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9))))) :rule forall_inst :args ((:= U tptp.sk6) (:= V tptp.sk9)))
% 78.07/78.32  (step t488.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V))))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)))) :rule or :premises (t488.t1))
% 78.07/78.32  (step t488.t3 (cl (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)))) :rule resolution :premises (t488.t2 t488.a0))
% 78.07/78.32  (step t488 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V))))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)))) :rule subproof :discharge (t488.a0))
% 78.07/78.32  (step t489 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)))) :rule resolution :premises (t487 t488))
% 78.07/78.32  (step t490 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)))) (not (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9))))) :rule implies_neg2)
% 78.07/78.32  (step t491 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9))))) :rule resolution :premises (t489 t490))
% 78.07/78.32  (step t492 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9))))) :rule contraction :premises (t491))
% 78.07/78.32  (step t493 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V))))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)))) :rule implies :premises (t492))
% 78.07/78.32  (step t494 (cl (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)))) :rule resolution :premises (t493 a119))
% 78.07/78.32  (step t495 (cl (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9))) :rule resolution :premises (t486 a192 a195 t494))
% 78.07/78.32  (step t496 (cl (not (or (not (tptp.ssList tptp.sk9)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))))) (not (tptp.ssList tptp.sk9)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9)))) :rule or_pos)
% 78.07/78.32  (step t497 (cl (not (tptp.ssList tptp.sk9)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (not (or (not (tptp.ssList tptp.sk9)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9)))))) :rule reordering :premises (t496))
% 78.07/78.32  (step t498 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U))))) (or (not (tptp.ssList tptp.sk9)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U)))))) :rule implies_neg1)
% 78.07/78.32  (anchor :step t499)
% 78.07/78.32  (assume t499.a0 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U))))))
% 78.07/78.32  (step t499.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U)))))) (or (not (tptp.ssList tptp.sk9)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9)))))) :rule forall_inst :args ((:= U tptp.sk9) (:= V (tptp.cons tptp.sk6 tptp.nil)) (:= W (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))
% 78.07/78.32  (step t499.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U)))))) (or (not (tptp.ssList tptp.sk9)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))))) :rule or :premises (t499.t1))
% 78.07/78.32  (step t499.t3 (cl (or (not (tptp.ssList tptp.sk9)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))))) :rule resolution :premises (t499.t2 t499.a0))
% 78.07/78.32  (step t499 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U)))))) (or (not (tptp.ssList tptp.sk9)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))))) :rule subproof :discharge (t499.a0))
% 78.07/78.32  (step t500 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U))))) (or (not (tptp.ssList tptp.sk9)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))))) (or (not (tptp.ssList tptp.sk9)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))))) :rule resolution :premises (t498 t499))
% 78.07/78.32  (step t501 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U))))) (or (not (tptp.ssList tptp.sk9)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))))) (not (or (not (tptp.ssList tptp.sk9)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9)))))) :rule implies_neg2)
% 78.07/78.32  (step t502 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U))))) (or (not (tptp.ssList tptp.sk9)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))))) (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U))))) (or (not (tptp.ssList tptp.sk9)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9)))))) :rule resolution :premises (t500 t501))
% 78.07/78.32  (step t503 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U))))) (or (not (tptp.ssList tptp.sk9)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9)))))) :rule contraction :premises (t502))
% 78.07/78.32  (step t504 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U)))))) (or (not (tptp.ssList tptp.sk9)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))))) :rule implies :premises (t503))
% 78.07/78.32  (step t505 (cl (or (not (tptp.ssList tptp.sk9)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))))) :rule resolution :premises (t504 a148))
% 78.07/78.32  (step t506 (cl (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9)))) :rule resolution :premises (t497 a195 t100 t133 t505))
% 78.07/78.32  (step t507 (cl (not (or (not (tptp.ssList tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))) (not (tptp.ssList tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9))) :rule or_pos)
% 78.07/78.32  (step t508 (cl (not (tptp.ssList tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (not (or (not (tptp.ssList tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9))))) :rule reordering :premises (t507))
% 78.07/78.32  (step t509 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) :rule implies_neg1)
% 78.07/78.32  (anchor :step t510)
% 78.07/78.32  (assume t510.a0 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))))
% 78.07/78.32  (step t510.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) (or (not (tptp.ssList tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9))))) :rule forall_inst :args ((:= U tptp.sk9)))
% 78.07/78.32  (step t510.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) (or (not (tptp.ssList tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))) :rule or :premises (t510.t1))
% 78.07/78.32  (step t510.t3 (cl (or (not (tptp.ssList tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))) :rule resolution :premises (t510.t2 t510.a0))
% 78.07/78.32  (step t510 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) (or (not (tptp.ssList tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))) :rule subproof :discharge (t510.a0))
% 78.07/78.32  (step t511 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))) (or (not (tptp.ssList tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))) :rule resolution :premises (t509 t510))
% 78.07/78.32  (step t512 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))) (not (or (not (tptp.ssList tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9))))) :rule implies_neg2)
% 78.07/78.32  (step t513 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))) (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9))))) :rule resolution :premises (t511 t512))
% 78.07/78.32  (step t514 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9))))) :rule contraction :premises (t513))
% 78.07/78.32  (step t515 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) (or (not (tptp.ssList tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))) :rule implies :premises (t514))
% 78.07/78.32  (step t516 (cl (not (= (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app tptp.nil U) U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))))) (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app tptp.nil U) U)))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) :rule equiv_pos2)
% 78.07/78.32  (anchor :step t517 :args ((U $$unsorted) (:= U U)))
% 78.07/78.32  (step t517.t1 (cl (= U U)) :rule refl)
% 78.07/78.32  (step t517.t2 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 78.07/78.32  (step t517.t3 (cl (= (= (tptp.app tptp.nil U) U) (= U (tptp.app tptp.nil U)))) :rule all_simplify)
% 78.07/78.32  (step t517.t4 (cl (= (or (not (tptp.ssList U)) (= (tptp.app tptp.nil U) U)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) :rule cong :premises (t517.t2 t517.t3))
% 78.07/78.32  (step t517 (cl (= (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app tptp.nil U) U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))))) :rule bind)
% 78.07/78.32  (step t518 (cl (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) :rule resolution :premises (t516 t517 a73))
% 78.07/78.32  (step t519 (cl (or (not (tptp.ssList tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))) :rule resolution :premises (t515 t518))
% 78.07/78.32  (step t520 (cl (= tptp.sk9 (tptp.app tptp.nil tptp.sk9))) :rule resolution :premises (t508 a195 t519))
% 78.07/78.32  (step t521 (cl (not (= (tptp.ssList tptp.sk1) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (not (tptp.ssList tptp.sk1)) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) :rule equiv_pos2)
% 78.07/78.32  (step t522 (cl (= tptp.sk1 tptp.sk3)) :rule and :premises (t75))
% 78.07/78.32  (step t523 (cl (= tptp.sk3 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) :rule and :premises (t75))
% 78.07/78.32  (step t524 (cl (= tptp.sk1 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) :rule trans :premises (t522 t523))
% 78.07/78.32  (step t525 (cl (= (tptp.ssList tptp.sk1) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) :rule cong :premises (t524))
% 78.07/78.32  (step t526 (cl (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) :rule resolution :premises (t521 t525 a185))
% 78.07/78.32  (step t527 (cl (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9))) (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil))) (not (= tptp.sk9 (tptp.app tptp.nil tptp.sk9))) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9)))) (not (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)))) :rule and_neg)
% 78.07/78.32  (step t528 (cl (=> (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9))) (tptp.equalelemsP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)))) :rule implies_neg1)
% 78.07/78.32  (anchor :step t529)
% 78.07/78.32  (assume t529.a0 (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)))
% 78.07/78.32  (assume t529.a1 (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil)))
% 78.07/78.32  (assume t529.a2 (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))
% 78.07/78.32  (assume t529.a3 (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))
% 78.07/78.32  (assume t529.a4 (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))))
% 78.07/78.32  (assume t529.a5 (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)))
% 78.07/78.32  (step t529.t1 (cl (=> (and (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.equalelemsP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) (and (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) :rule implies_neg1)
% 78.07/78.32  (anchor :step t529.t2)
% 78.07/78.32  (assume t529.t2.a0 (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil)))
% 78.07/78.32  (assume t529.t2.a1 (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)))
% 78.07/78.32  (assume t529.t2.a2 (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))))
% 78.07/78.32  (assume t529.t2.a3 (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)))
% 78.07/78.32  (assume t529.t2.a4 (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))
% 78.07/78.32  (assume t529.t2.a5 (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))
% 78.07/78.32  (step t529.t2.t1 (cl (= (= (tptp.equalelemsP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) true) (tptp.equalelemsP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))))) :rule equiv_simplify)
% 78.07/78.32  (step t529.t2.t2 (cl (not (= (tptp.equalelemsP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) true)) (tptp.equalelemsP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) :rule equiv1 :premises (t529.t2.t1))
% 78.07/78.32  (step t529.t2.t3 (cl (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) :rule refl)
% 78.07/78.32  (step t529.t2.t4 (cl (= tptp.sk6 tptp.sk6)) :rule refl)
% 78.07/78.32  (step t529.t2.t5 (cl (= (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)) tptp.sk9)) :rule symm :premises (t529.t2.a5))
% 78.07/78.32  (step t529.t2.t6 (cl (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) :rule symm :premises (t529.t2.t5))
% 78.07/78.32  (step t529.t2.t7 (cl (= (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)) tptp.sk9)) :rule symm :premises (t529.t2.t6))
% 78.07/78.32  (step t529.t2.t8 (cl (= (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)) (tptp.app tptp.nil tptp.sk9))) :rule trans :premises (t529.t2.t7 t529.t2.a4))
% 78.07/78.32  (step t529.t2.t9 (cl (= (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9)))) :rule cong :premises (t529.t2.t4 t529.t2.t8))
% 78.07/78.32  (step t529.t2.t10 (cl (= (tptp.app tptp.nil tptp.sk9) tptp.sk9)) :rule symm :premises (t529.t2.a4))
% 78.07/78.32  (step t529.t2.t11 (cl (= (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9)) (tptp.cons tptp.sk6 tptp.sk9))) :rule cong :premises (t529.t2.t4 t529.t2.t10))
% 78.07/78.32  (step t529.t2.t12 (cl (= (tptp.cons tptp.sk6 tptp.sk9) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) :rule symm :premises (t529.t2.a3))
% 78.07/78.32  (step t529.t2.t13 (cl (= (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) :rule trans :premises (t529.t2.t9 t529.t2.t11 t529.t2.t12))
% 78.07/78.32  (step t529.t2.t14 (cl (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9)))) :rule cong :premises (t529.t2.t3 t529.t2.t13))
% 78.07/78.32  (step t529.t2.t15 (cl (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) :rule symm :premises (t529.t2.a2))
% 78.07/78.32  (step t529.t2.t16 (cl (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) :rule trans :premises (t529.t2.t14 t529.t2.t15))
% 78.07/78.32  (step t529.t2.t17 (cl (= (tptp.equalelemsP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (tptp.equalelemsP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) :rule cong :premises (t529.t2.t16))
% 78.07/78.32  (step t529.t2.t18 (cl (= (tptp.cons tptp.sk11 tptp.nil) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) :rule symm :premises (t529.t2.a1))
% 78.07/78.32  (step t529.t2.t19 (cl (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) :rule symm :premises (t529.t2.t18))
% 78.07/78.32  (step t529.t2.t20 (cl (= (tptp.equalelemsP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil)))) :rule cong :premises (t529.t2.t19))
% 78.07/78.32  (step t529.t2.t21 (cl (= (= (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil)) true) (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil)))) :rule equiv_simplify)
% 78.07/78.32  (step t529.t2.t22 (cl (= (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil)) true) (not (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil)))) :rule equiv2 :premises (t529.t2.t21))
% 78.07/78.32  (step t529.t2.t23 (cl (= (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil)) true)) :rule resolution :premises (t529.t2.t22 t529.t2.a0))
% 78.07/78.32  (step t529.t2.t24 (cl (= (tptp.equalelemsP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) true)) :rule trans :premises (t529.t2.t17 t529.t2.t20 t529.t2.t23))
% 78.07/78.32  (step t529.t2.t25 (cl (tptp.equalelemsP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) :rule resolution :premises (t529.t2.t2 t529.t2.t24))
% 78.07/78.32  (step t529.t2 (cl (not (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil))) (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9)))) (not (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9))) (not (= tptp.sk9 (tptp.app tptp.nil tptp.sk9))) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.equalelemsP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) :rule subproof :discharge (t529.t2.a0 t529.t2.a1 t529.t2.a2 t529.t2.a3 t529.t2.a4 t529.t2.a5))
% 78.07/78.32  (step t529.t3 (cl (not (and (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil))) :rule and_pos)
% 78.07/78.32  (step t529.t4 (cl (not (and (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) :rule and_pos)
% 78.07/78.32  (step t529.t5 (cl (not (and (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9)))) :rule and_pos)
% 78.07/78.32  (step t529.t6 (cl (not (and (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9))) :rule and_pos)
% 78.07/78.32  (step t529.t7 (cl (not (and (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9))) :rule and_pos)
% 78.07/78.32  (step t529.t8 (cl (not (and (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) :rule and_pos)
% 78.07/78.32  (step t529.t9 (cl (tptp.equalelemsP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (and (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (and (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (and (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (and (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (and (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (and (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) :rule resolution :premises (t529.t2 t529.t3 t529.t4 t529.t5 t529.t6 t529.t7 t529.t8))
% 78.07/78.32  (step t529.t10 (cl (not (and (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (and (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (and (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (and (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (and (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (and (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (tptp.equalelemsP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) :rule reordering :premises (t529.t9))
% 78.07/78.32  (step t529.t11 (cl (not (and (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (tptp.equalelemsP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) :rule contraction :premises (t529.t10))
% 78.07/78.32  (step t529.t12 (cl (=> (and (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.equalelemsP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) (tptp.equalelemsP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) :rule resolution :premises (t529.t1 t529.t11))
% 78.07/78.32  (step t529.t13 (cl (=> (and (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.equalelemsP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) (not (tptp.equalelemsP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))))) :rule implies_neg2)
% 78.07/78.32  (step t529.t14 (cl (=> (and (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.equalelemsP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) (=> (and (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.equalelemsP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))))) :rule resolution :premises (t529.t12 t529.t13))
% 78.07/78.32  (step t529.t15 (cl (=> (and (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.equalelemsP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))))) :rule contraction :premises (t529.t14))
% 78.07/78.32  (step t529.t16 (cl (not (and (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (tptp.equalelemsP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) :rule implies :premises (t529.t15))
% 78.07/78.32  (step t529.t17 (cl (and (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil))) (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9)))) (not (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9))) (not (= tptp.sk9 (tptp.app tptp.nil tptp.sk9))) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) :rule and_neg)
% 78.07/78.32  (step t529.t18 (cl (and (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) :rule resolution :premises (t529.t17 t529.a1 t529.a0 t529.a4 t529.a5 t529.a2 t529.a3))
% 78.07/78.32  (step t529.t19 (cl (tptp.equalelemsP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) :rule resolution :premises (t529.t16 t529.t18))
% 78.07/78.32  (step t529 (cl (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil))) (not (= tptp.sk9 (tptp.app tptp.nil tptp.sk9))) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9)))) (not (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9))) (tptp.equalelemsP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) :rule subproof :discharge (t529.a0 t529.a1 t529.a2 t529.a3 t529.a4 t529.a5))
% 78.07/78.32  (step t530 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) :rule and_pos)
% 78.07/78.32  (step t531 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)))) (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil))) :rule and_pos)
% 78.07/78.32  (step t532 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9))) :rule and_pos)
% 78.07/78.32  (step t533 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) :rule and_pos)
% 78.07/78.32  (step t534 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9)))) :rule and_pos)
% 78.07/78.32  (step t535 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9))) :rule and_pos)
% 78.07/78.32  (step t536 (cl (tptp.equalelemsP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9))))) :rule resolution :premises (t529 t530 t531 t532 t533 t534 t535))
% 78.07/78.32  (step t537 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)))) (tptp.equalelemsP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) :rule reordering :premises (t536))
% 78.07/78.32  (step t538 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)))) (tptp.equalelemsP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) :rule contraction :premises (t537))
% 78.07/78.32  (step t539 (cl (=> (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9))) (tptp.equalelemsP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) (tptp.equalelemsP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) :rule resolution :premises (t528 t538))
% 78.07/78.32  (step t540 (cl (=> (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9))) (tptp.equalelemsP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) (not (tptp.equalelemsP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))))) :rule implies_neg2)
% 78.07/78.32  (step t541 (cl (=> (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9))) (tptp.equalelemsP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) (=> (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9))) (tptp.equalelemsP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))))) :rule resolution :premises (t539 t540))
% 78.07/78.32  (step t542 (cl (=> (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9))) (tptp.equalelemsP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))))) :rule contraction :premises (t541))
% 78.07/78.32  (step t543 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)))) (tptp.equalelemsP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) :rule implies :premises (t542))
% 78.07/78.32  (step t544 (cl (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil))) (not (= tptp.sk9 (tptp.app tptp.nil tptp.sk9))) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9)))) (not (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9))) (tptp.equalelemsP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) :rule resolution :premises (t527 t543))
% 78.07/78.32  (step t545 (cl (not (or (not (tptp.ssItem tptp.sk11)) (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil)))) (not (tptp.ssItem tptp.sk11)) (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil))) :rule or_pos)
% 78.07/78.32  (step t546 (cl (not (tptp.ssItem tptp.sk11)) (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil)) (not (or (not (tptp.ssItem tptp.sk11)) (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil))))) :rule reordering :premises (t545))
% 78.07/78.32  (step t547 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.equalelemsP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem tptp.sk11)) (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil)))) (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.equalelemsP (tptp.cons U tptp.nil))))) :rule implies_neg1)
% 78.07/78.32  (anchor :step t548)
% 78.07/78.32  (assume t548.a0 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.equalelemsP (tptp.cons U tptp.nil)))))
% 78.07/78.32  (step t548.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.equalelemsP (tptp.cons U tptp.nil))))) (or (not (tptp.ssItem tptp.sk11)) (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil))))) :rule forall_inst :args ((:= U tptp.sk11)))
% 78.07/78.32  (step t548.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.equalelemsP (tptp.cons U tptp.nil))))) (or (not (tptp.ssItem tptp.sk11)) (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil)))) :rule or :premises (t548.t1))
% 78.07/78.32  (step t548.t3 (cl (or (not (tptp.ssItem tptp.sk11)) (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil)))) :rule resolution :premises (t548.t2 t548.a0))
% 78.07/78.32  (step t548 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.equalelemsP (tptp.cons U tptp.nil))))) (or (not (tptp.ssItem tptp.sk11)) (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil)))) :rule subproof :discharge (t548.a0))
% 78.07/78.32  (step t549 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.equalelemsP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem tptp.sk11)) (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil)))) (or (not (tptp.ssItem tptp.sk11)) (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil)))) :rule resolution :premises (t547 t548))
% 78.07/78.32  (step t550 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.equalelemsP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem tptp.sk11)) (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil)))) (not (or (not (tptp.ssItem tptp.sk11)) (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil))))) :rule implies_neg2)
% 78.07/78.32  (step t551 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.equalelemsP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem tptp.sk11)) (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil)))) (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.equalelemsP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem tptp.sk11)) (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil))))) :rule resolution :premises (t549 t550))
% 78.07/78.32  (step t552 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.equalelemsP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem tptp.sk11)) (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil))))) :rule contraction :premises (t551))
% 78.07/78.32  (step t553 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.equalelemsP (tptp.cons U tptp.nil))))) (or (not (tptp.ssItem tptp.sk11)) (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil)))) :rule implies :premises (t552))
% 78.07/78.32  (step t554 (cl (or (not (tptp.ssItem tptp.sk11)) (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil)))) :rule resolution :premises (t553 a63))
% 78.07/78.32  (step t555 (cl (tptp.equalelemsP (tptp.cons tptp.sk11 tptp.nil))) :rule resolution :premises (t546 t205 t554))
% 78.07/78.32  (step t556 (cl (not (or (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)))) (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9))) :rule or_pos)
% 78.07/78.32  (step t557 (cl (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)) (not (or (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9))))) :rule reordering :premises (t556))
% 78.07/78.32  (step t558 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V)))) :rule implies_neg1)
% 78.07/78.32  (anchor :step t559)
% 78.07/78.32  (assume t559.a0 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V))))
% 78.07/78.32  (step t559.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V)))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9))))) :rule forall_inst :args ((:= U (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (:= V (tptp.skaf83 tptp.sk9)) (:= W (tptp.skaf82 tptp.sk9))))
% 78.07/78.32  (step t559.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V)))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)))) :rule or :premises (t559.t1))
% 78.07/78.32  (step t559.t3 (cl (or (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)))) :rule resolution :premises (t559.t2 t559.a0))
% 78.07/78.32  (step t559 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V)))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)))) :rule subproof :discharge (t559.a0))
% 78.07/78.32  (step t560 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)))) :rule resolution :premises (t558 t559))
% 78.07/78.32  (step t561 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)))) (not (or (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9))))) :rule implies_neg2)
% 78.07/78.32  (step t562 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)))) (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9))))) :rule resolution :premises (t560 t561))
% 78.07/78.32  (step t563 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9))))) :rule contraction :premises (t562))
% 78.07/78.32  (step t564 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V)))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)))) :rule implies :premises (t563))
% 78.07/78.32  (step t565 (cl (not (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= (tptp.app U (tptp.cons V W)) X)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList X)) (tptp.memberP X V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V))))) (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= (tptp.app U (tptp.cons V W)) X)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList X)) (tptp.memberP X V)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V)))) :rule equiv_pos2)
% 78.07/78.32  (anchor :step t566 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V) (W $$unsorted) (:= W W) (X $$unsorted) (:= X X)))
% 78.07/78.32  (step t566.t1 (cl (= U U)) :rule refl)
% 78.07/78.32  (step t566.t2 (cl (= V V)) :rule refl)
% 78.07/78.32  (step t566.t3 (cl (= W W)) :rule refl)
% 78.07/78.32  (step t566.t4 (cl (= X X)) :rule refl)
% 78.07/78.32  (step t566.t5 (cl (= (= (tptp.app U (tptp.cons V W)) X) (= X (tptp.app U (tptp.cons V W))))) :rule all_simplify)
% 78.07/78.32  (step t566.t6 (cl (= (not (= (tptp.app U (tptp.cons V W)) X)) (not (= X (tptp.app U (tptp.cons V W)))))) :rule cong :premises (t566.t5))
% 78.07/78.32  (step t566.t7 (cl (= (not (tptp.ssList W)) (not (tptp.ssList W)))) :rule refl)
% 78.07/78.32  (step t566.t8 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 78.07/78.32  (step t566.t9 (cl (= (not (tptp.ssItem V)) (not (tptp.ssItem V)))) :rule refl)
% 78.07/78.32  (step t566.t10 (cl (= (not (tptp.ssList X)) (not (tptp.ssList X)))) :rule refl)
% 78.07/78.32  (step t566.t11 (cl (= (tptp.memberP X V) (tptp.memberP X V))) :rule refl)
% 78.07/78.32  (step t566.t12 (cl (= (or (not (= (tptp.app U (tptp.cons V W)) X)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList X)) (tptp.memberP X V)) (or (not (= X (tptp.app U (tptp.cons V W)))) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList X)) (tptp.memberP X V)))) :rule cong :premises (t566.t6 t566.t7 t566.t8 t566.t9 t566.t10 t566.t11))
% 78.07/78.32  (step t566 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= (tptp.app U (tptp.cons V W)) X)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList X)) (tptp.memberP X V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= X (tptp.app U (tptp.cons V W)))) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList X)) (tptp.memberP X V))))) :rule bind)
% 78.07/78.32  (step t567 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= X (tptp.app U (tptp.cons V W)))) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList X)) (tptp.memberP X V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U (tptp.cons V W)) (tptp.app U (tptp.cons V W)))) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V))))) :rule all_simplify)
% 78.07/78.32  (anchor :step t568 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V) (W $$unsorted) (:= W W)))
% 78.07/78.32  (step t568.t1 (cl (= U U)) :rule refl)
% 78.07/78.32  (step t568.t2 (cl (= V V)) :rule refl)
% 78.07/78.32  (step t568.t3 (cl (= W W)) :rule refl)
% 78.07/78.32  (step t568.t4 (cl (= (= (tptp.app U (tptp.cons V W)) (tptp.app U (tptp.cons V W))) true)) :rule all_simplify)
% 78.07/78.32  (step t568.t5 (cl (= (not (= (tptp.app U (tptp.cons V W)) (tptp.app U (tptp.cons V W)))) (not true))) :rule cong :premises (t568.t4))
% 78.07/78.32  (step t568.t6 (cl (= (not true) false)) :rule all_simplify)
% 78.07/78.32  (step t568.t7 (cl (= (not (= (tptp.app U (tptp.cons V W)) (tptp.app U (tptp.cons V W)))) false)) :rule trans :premises (t568.t5 t568.t6))
% 78.07/78.32  (step t568.t8 (cl (= (not (tptp.ssList W)) (not (tptp.ssList W)))) :rule refl)
% 78.07/78.32  (step t568.t9 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 78.07/78.32  (step t568.t10 (cl (= (not (tptp.ssItem V)) (not (tptp.ssItem V)))) :rule refl)
% 78.07/78.32  (step t568.t11 (cl (= (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (not (tptp.ssList (tptp.app U (tptp.cons V W)))))) :rule refl)
% 78.07/78.32  (step t568.t12 (cl (= (tptp.memberP (tptp.app U (tptp.cons V W)) V) (tptp.memberP (tptp.app U (tptp.cons V W)) V))) :rule refl)
% 78.07/78.32  (step t568.t13 (cl (= (or (not (= (tptp.app U (tptp.cons V W)) (tptp.app U (tptp.cons V W)))) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V)) (or false (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V)))) :rule cong :premises (t568.t7 t568.t8 t568.t9 t568.t10 t568.t11 t568.t12))
% 78.07/78.32  (step t568.t14 (cl (= (or false (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V)))) :rule all_simplify)
% 78.07/78.32  (step t568.t15 (cl (= (or (not (= (tptp.app U (tptp.cons V W)) (tptp.app U (tptp.cons V W)))) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V)))) :rule trans :premises (t568.t13 t568.t14))
% 78.07/78.32  (step t568 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U (tptp.cons V W)) (tptp.app U (tptp.cons V W)))) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V))))) :rule bind)
% 78.07/78.32  (step t569 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= X (tptp.app U (tptp.cons V W)))) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList X)) (tptp.memberP X V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V))))) :rule trans :premises (t567 t568))
% 78.07/78.32  (step t570 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= (tptp.app U (tptp.cons V W)) X)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList X)) (tptp.memberP X V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V))))) :rule trans :premises (t566 t569))
% 78.07/78.32  (step t571 (cl (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V)))) :rule resolution :premises (t565 t570 a174))
% 78.07/78.32  (step t572 (cl (or (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)))) :rule resolution :premises (t564 t571))
% 78.07/78.32  (step t573 (cl (not (or (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) (tptp.skaf83 tptp.sk9))) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)) (= tptp.sk6 (tptp.skaf83 tptp.sk9)))) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) (tptp.skaf83 tptp.sk9))) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)) (= tptp.sk6 (tptp.skaf83 tptp.sk9))) :rule or_pos)
% 78.07/78.32  (step t574 (cl (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) (tptp.skaf83 tptp.sk9))) (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)) (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (not (or (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) (tptp.skaf83 tptp.sk9))) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)) (= tptp.sk6 (tptp.skaf83 tptp.sk9))))) :rule reordering :premises (t573))
% 78.07/78.32  (step t575 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W))) (or (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) (tptp.skaf83 tptp.sk9))) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)) (= tptp.sk6 (tptp.skaf83 tptp.sk9)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W)))) :rule implies_neg1)
% 78.07/78.32  (anchor :step t576)
% 78.07/78.32  (assume t576.a0 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W))))
% 78.07/78.32  (step t576.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W)))) (or (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) (tptp.skaf83 tptp.sk9))) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)) (= tptp.sk6 (tptp.skaf83 tptp.sk9))))) :rule forall_inst :args ((:= U tptp.sk6) (:= V tptp.nil) (:= W (tptp.skaf83 tptp.sk9))))
% 78.07/78.32  (step t576.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W)))) (or (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) (tptp.skaf83 tptp.sk9))) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)) (= tptp.sk6 (tptp.skaf83 tptp.sk9)))) :rule or :premises (t576.t1))
% 78.07/78.32  (step t576.t3 (cl (or (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) (tptp.skaf83 tptp.sk9))) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)) (= tptp.sk6 (tptp.skaf83 tptp.sk9)))) :rule resolution :premises (t576.t2 t576.a0))
% 78.07/78.32  (step t576 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W)))) (or (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) (tptp.skaf83 tptp.sk9))) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)) (= tptp.sk6 (tptp.skaf83 tptp.sk9)))) :rule subproof :discharge (t576.a0))
% 78.07/78.32  (step t577 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W))) (or (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) (tptp.skaf83 tptp.sk9))) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)) (= tptp.sk6 (tptp.skaf83 tptp.sk9)))) (or (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) (tptp.skaf83 tptp.sk9))) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)) (= tptp.sk6 (tptp.skaf83 tptp.sk9)))) :rule resolution :premises (t575 t576))
% 78.07/78.32  (step t578 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W))) (or (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) (tptp.skaf83 tptp.sk9))) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)) (= tptp.sk6 (tptp.skaf83 tptp.sk9)))) (not (or (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) (tptp.skaf83 tptp.sk9))) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)) (= tptp.sk6 (tptp.skaf83 tptp.sk9))))) :rule implies_neg2)
% 78.07/78.32  (step t579 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W))) (or (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) (tptp.skaf83 tptp.sk9))) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)) (= tptp.sk6 (tptp.skaf83 tptp.sk9)))) (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W))) (or (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) (tptp.skaf83 tptp.sk9))) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)) (= tptp.sk6 (tptp.skaf83 tptp.sk9))))) :rule resolution :premises (t577 t578))
% 78.07/78.32  (step t580 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W))) (or (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) (tptp.skaf83 tptp.sk9))) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)) (= tptp.sk6 (tptp.skaf83 tptp.sk9))))) :rule contraction :premises (t579))
% 78.07/78.32  (step t581 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W)))) (or (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) (tptp.skaf83 tptp.sk9))) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)) (= tptp.sk6 (tptp.skaf83 tptp.sk9)))) :rule implies :premises (t580))
% 78.07/78.32  (step t582 (cl (or (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) (tptp.skaf83 tptp.sk9))) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)) (= tptp.sk6 (tptp.skaf83 tptp.sk9)))) :rule resolution :premises (t581 t418))
% 78.07/78.32  (step t583 (cl (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= tptp.sk6 tptp.sk11) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9))) (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= tptp.sk6 tptp.sk11)) (not (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)))) :rule and_neg)
% 78.07/78.32  (step t584 (cl (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= tptp.sk6 tptp.sk11) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9))) (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) (tptp.skaf83 tptp.sk9))) (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= tptp.sk6 tptp.sk11) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)))) :rule implies_neg1)
% 78.07/78.32  (anchor :step t585)
% 78.07/78.32  (assume t585.a0 (= tptp.nil (tptp.app tptp.nil tptp.nil)))
% 78.07/78.32  (assume t585.a1 (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)))
% 78.07/78.32  (assume t585.a2 (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))
% 78.07/78.32  (assume t585.a3 (= tptp.sk6 tptp.sk11))
% 78.07/78.32  (assume t585.a4 (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)))
% 78.07/78.32  (step t585.t1 (cl (=> (and (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))) (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) (tptp.skaf83 tptp.sk9))) (and (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))) :rule implies_neg1)
% 78.07/78.32  (anchor :step t585.t2)
% 78.07/78.32  (assume t585.t2.a0 (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))
% 78.07/78.32  (assume t585.t2.a1 (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)))
% 78.07/78.32  (assume t585.t2.a2 (= tptp.sk6 tptp.sk11))
% 78.07/78.32  (assume t585.t2.a3 (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)))
% 78.07/78.32  (assume t585.t2.a4 (= tptp.nil (tptp.app tptp.nil tptp.nil)))
% 78.07/78.32  (step t585.t2.t1 (cl (= (= (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) (tptp.skaf83 tptp.sk9)) true) (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) (tptp.skaf83 tptp.sk9)))) :rule equiv_simplify)
% 78.07/78.32  (step t585.t2.t2 (cl (not (= (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) (tptp.skaf83 tptp.sk9)) true)) (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) (tptp.skaf83 tptp.sk9))) :rule equiv1 :premises (t585.t2.t1))
% 78.07/78.32  (step t585.t2.t3 (cl (= tptp.sk6 tptp.sk6)) :rule refl)
% 78.07/78.32  (step t585.t2.t4 (cl (= (tptp.cons tptp.sk6 tptp.nil) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.nil)))) :rule cong :premises (t585.t2.t3 t585.t2.a4))
% 78.07/78.32  (step t585.t2.t5 (cl (= tptp.sk11 tptp.sk6)) :rule symm :premises (t585.t2.a2))
% 78.07/78.32  (step t585.t2.t6 (cl (= tptp.sk6 tptp.sk11)) :rule symm :premises (t585.t2.t5))
% 78.07/78.32  (step t585.t2.t7 (cl (= (tptp.app tptp.nil tptp.nil) tptp.nil)) :rule symm :premises (t585.t2.a4))
% 78.07/78.32  (step t585.t2.t8 (cl (= (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.nil)) (tptp.cons tptp.sk11 tptp.nil))) :rule cong :premises (t585.t2.t6 t585.t2.t7))
% 78.07/78.32  (step t585.t2.t9 (cl (= (tptp.cons tptp.sk6 tptp.nil) (tptp.cons tptp.sk11 tptp.nil))) :rule trans :premises (t585.t2.t4 t585.t2.t8))
% 78.07/78.32  (step t585.t2.t10 (cl (= (tptp.cons tptp.sk11 tptp.nil) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) :rule symm :premises (t585.t2.a3))
% 78.07/78.32  (step t585.t2.t11 (cl (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) :rule refl)
% 78.07/78.32  (step t585.t2.t12 (cl (= (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)) tptp.sk9)) :rule symm :premises (t585.t2.a0))
% 78.07/78.32  (step t585.t2.t13 (cl (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) :rule symm :premises (t585.t2.t12))
% 78.07/78.32  (step t585.t2.t14 (cl (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) :rule cong :premises (t585.t2.t11 t585.t2.t13))
% 78.07/78.32  (step t585.t2.t15 (cl (= (tptp.cons tptp.sk11 tptp.nil) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) :rule trans :premises (t585.t2.t10 t585.t2.t14))
% 78.07/78.32  (step t585.t2.t16 (cl (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) :rule trans :premises (t585.t2.t9 t585.t2.t15))
% 78.07/78.32  (step t585.t2.t17 (cl (= (tptp.skaf83 tptp.sk9) (tptp.skaf83 tptp.sk9))) :rule refl)
% 78.07/78.32  (step t585.t2.t18 (cl (= (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) (tptp.skaf83 tptp.sk9)) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)))) :rule cong :premises (t585.t2.t16 t585.t2.t17))
% 78.07/78.32  (step t585.t2.t19 (cl (= (= (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)) true) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)))) :rule equiv_simplify)
% 78.07/78.32  (step t585.t2.t20 (cl (= (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)) true) (not (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)))) :rule equiv2 :premises (t585.t2.t19))
% 78.07/78.32  (step t585.t2.t21 (cl (= (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)) true)) :rule resolution :premises (t585.t2.t20 t585.t2.a1))
% 78.07/78.32  (step t585.t2.t22 (cl (= (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) (tptp.skaf83 tptp.sk9)) true)) :rule trans :premises (t585.t2.t18 t585.t2.t21))
% 78.07/78.32  (step t585.t2.t23 (cl (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) (tptp.skaf83 tptp.sk9))) :rule resolution :premises (t585.t2.t2 t585.t2.t22))
% 78.07/78.32  (step t585.t2 (cl (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) (tptp.skaf83 tptp.sk9))) :rule subproof :discharge (t585.t2.a0 t585.t2.a1 t585.t2.a2 t585.t2.a3 t585.t2.a4))
% 78.07/78.32  (step t585.t3 (cl (not (and (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) :rule and_pos)
% 78.07/78.32  (step t585.t4 (cl (not (and (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9))) :rule and_pos)
% 78.07/78.32  (step t585.t5 (cl (not (and (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))) (= tptp.sk6 tptp.sk11)) :rule and_pos)
% 78.07/78.32  (step t585.t6 (cl (not (and (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) :rule and_pos)
% 78.07/78.32  (step t585.t7 (cl (not (and (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))) (= tptp.nil (tptp.app tptp.nil tptp.nil))) :rule and_pos)
% 78.07/78.32  (step t585.t8 (cl (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) (tptp.skaf83 tptp.sk9)) (not (and (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))) (not (and (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))) (not (and (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))) (not (and (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))) (not (and (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))))) :rule resolution :premises (t585.t2 t585.t3 t585.t4 t585.t5 t585.t6 t585.t7))
% 78.07/78.32  (step t585.t9 (cl (not (and (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))) (not (and (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))) (not (and (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))) (not (and (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))) (not (and (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))) (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) (tptp.skaf83 tptp.sk9))) :rule reordering :premises (t585.t8))
% 78.07/78.32  (step t585.t10 (cl (not (and (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))) (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) (tptp.skaf83 tptp.sk9))) :rule contraction :premises (t585.t9))
% 78.07/78.32  (step t585.t11 (cl (=> (and (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))) (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) (tptp.skaf83 tptp.sk9))) (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) (tptp.skaf83 tptp.sk9))) :rule resolution :premises (t585.t1 t585.t10))
% 78.07/78.32  (step t585.t12 (cl (=> (and (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))) (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) (tptp.skaf83 tptp.sk9))) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) (tptp.skaf83 tptp.sk9)))) :rule implies_neg2)
% 78.07/78.32  (step t585.t13 (cl (=> (and (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))) (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) (tptp.skaf83 tptp.sk9))) (=> (and (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))) (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) (tptp.skaf83 tptp.sk9)))) :rule resolution :premises (t585.t11 t585.t12))
% 78.07/78.32  (step t585.t14 (cl (=> (and (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))) (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) (tptp.skaf83 tptp.sk9)))) :rule contraction :premises (t585.t13))
% 78.07/78.32  (step t585.t15 (cl (not (and (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))) (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) (tptp.skaf83 tptp.sk9))) :rule implies :premises (t585.t14))
% 78.07/78.32  (step t585.t16 (cl (and (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (= tptp.nil (tptp.app tptp.nil tptp.nil)))) :rule and_neg)
% 78.07/78.32  (step t585.t17 (cl (and (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))) :rule resolution :premises (t585.t16 t585.a2 t585.a4 t585.a3 t585.a1 t585.a0))
% 78.07/78.32  (step t585.t18 (cl (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) (tptp.skaf83 tptp.sk9))) :rule resolution :premises (t585.t15 t585.t17))
% 78.07/78.32  (step t585 (cl (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= tptp.sk6 tptp.sk11)) (not (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9))) (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) (tptp.skaf83 tptp.sk9))) :rule subproof :discharge (t585.a0 t585.a1 t585.a2 t585.a3 t585.a4))
% 78.07/78.32  (step t586 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= tptp.sk6 tptp.sk11) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)))) (= tptp.nil (tptp.app tptp.nil tptp.nil))) :rule and_pos)
% 78.07/78.32  (step t587 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= tptp.sk6 tptp.sk11) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) :rule and_pos)
% 78.07/78.32  (step t588 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= tptp.sk6 tptp.sk11) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) :rule and_pos)
% 78.07/78.32  (step t589 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= tptp.sk6 tptp.sk11) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)))) (= tptp.sk6 tptp.sk11)) :rule and_pos)
% 78.07/78.32  (step t590 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= tptp.sk6 tptp.sk11) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)))) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9))) :rule and_pos)
% 78.07/78.32  (step t591 (cl (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) (tptp.skaf83 tptp.sk9)) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= tptp.sk6 tptp.sk11) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= tptp.sk6 tptp.sk11) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= tptp.sk6 tptp.sk11) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= tptp.sk6 tptp.sk11) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= tptp.sk6 tptp.sk11) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9))))) :rule resolution :premises (t585 t586 t587 t588 t589 t590))
% 78.07/78.32  (step t592 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= tptp.sk6 tptp.sk11) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= tptp.sk6 tptp.sk11) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= tptp.sk6 tptp.sk11) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= tptp.sk6 tptp.sk11) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= tptp.sk6 tptp.sk11) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)))) (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) (tptp.skaf83 tptp.sk9))) :rule reordering :premises (t591))
% 78.07/78.32  (step t593 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= tptp.sk6 tptp.sk11) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)))) (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) (tptp.skaf83 tptp.sk9))) :rule contraction :premises (t592))
% 78.07/78.32  (step t594 (cl (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= tptp.sk6 tptp.sk11) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9))) (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) (tptp.skaf83 tptp.sk9))) (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) (tptp.skaf83 tptp.sk9))) :rule resolution :premises (t584 t593))
% 78.07/78.32  (step t595 (cl (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= tptp.sk6 tptp.sk11) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9))) (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) (tptp.skaf83 tptp.sk9))) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) (tptp.skaf83 tptp.sk9)))) :rule implies_neg2)
% 78.07/78.32  (step t596 (cl (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= tptp.sk6 tptp.sk11) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9))) (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) (tptp.skaf83 tptp.sk9))) (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= tptp.sk6 tptp.sk11) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9))) (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) (tptp.skaf83 tptp.sk9)))) :rule resolution :premises (t594 t595))
% 78.07/78.32  (step t597 (cl (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= tptp.sk6 tptp.sk11) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9))) (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) (tptp.skaf83 tptp.sk9)))) :rule contraction :premises (t596))
% 78.07/78.32  (step t598 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= tptp.sk6 tptp.sk11) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)))) (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) (tptp.skaf83 tptp.sk9))) :rule implies :premises (t597))
% 78.07/78.32  (step t599 (cl (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= tptp.sk6 tptp.sk11)) (not (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9))) (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) (tptp.skaf83 tptp.sk9))) :rule resolution :premises (t583 t598))
% 78.07/78.32  (step t600 (cl (not (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (= tptp.nil V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app U V) tptp.nil))) (or (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (= tptp.nil V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app U V) tptp.nil)))) (or (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))) :rule equiv_pos2)
% 78.07/78.32  (anchor :step t601 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 78.07/78.32  (step t601.t1 (cl (= U U)) :rule refl)
% 78.07/78.32  (step t601.t2 (cl (= V V)) :rule refl)
% 78.07/78.32  (step t601.t3 (cl (= (not (= tptp.nil U)) (not (= tptp.nil U)))) :rule refl)
% 78.07/78.32  (step t601.t4 (cl (= (not (= tptp.nil V)) (not (= tptp.nil V)))) :rule refl)
% 78.07/78.32  (step t601.t5 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 78.07/78.32  (step t601.t6 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 78.07/78.32  (step t601.t7 (cl (= (= (tptp.app U V) tptp.nil) (= tptp.nil (tptp.app U V)))) :rule all_simplify)
% 78.07/78.32  (step t601.t8 (cl (= (or (not (= tptp.nil U)) (not (= tptp.nil V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app U V) tptp.nil)) (or (not (= tptp.nil U)) (not (= tptp.nil V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil (tptp.app U V))))) :rule cong :premises (t601.t3 t601.t4 t601.t5 t601.t6 t601.t7))
% 78.07/78.32  (step t601 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (= tptp.nil V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app U V) tptp.nil))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (= tptp.nil V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil (tptp.app U V)))))) :rule bind)
% 78.07/78.32  (step t602 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (= tptp.nil V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil (tptp.app U V)))) (or (not (= tptp.nil tptp.nil)) (not (= tptp.nil tptp.nil)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))))) :rule all_simplify)
% 78.07/78.32  (step t603 (cl (= (= tptp.nil tptp.nil) true)) :rule all_simplify)
% 78.07/78.32  (step t604 (cl (= (not (= tptp.nil tptp.nil)) (not true))) :rule cong :premises (t603))
% 78.07/78.32  (step t605 (cl (= (not true) false)) :rule all_simplify)
% 78.07/78.32  (step t606 (cl (= (not (= tptp.nil tptp.nil)) false)) :rule trans :premises (t604 t605))
% 78.07/78.32  (step t607 (cl (= (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.nil)))) :rule refl)
% 78.07/78.32  (step t608 (cl (= (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))) :rule refl)
% 78.07/78.33  (step t609 (cl (= (or (not (= tptp.nil tptp.nil)) (not (= tptp.nil tptp.nil)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))) (or false false (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))))) :rule cong :premises (t606 t606 t607 t607 t608))
% 78.07/78.33  (step t610 (cl (= (or false false (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))) (or (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))))) :rule all_simplify)
% 78.07/78.33  (step t611 (cl (= (or (not (= tptp.nil tptp.nil)) (not (= tptp.nil tptp.nil)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))) (or (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))))) :rule trans :premises (t609 t610))
% 78.07/78.33  (step t612 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (= tptp.nil V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil (tptp.app U V)))) (or (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))))) :rule trans :premises (t602 t611))
% 78.07/78.33  (step t613 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (= tptp.nil V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app U V) tptp.nil))) (or (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))))) :rule trans :premises (t601 t612))
% 78.07/78.33  (step t614 (cl (or (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))) :rule resolution :premises (t600 t613 a144))
% 78.07/78.33  (step t615 (cl (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))) :rule or :premises (t614))
% 78.07/78.33  (step t616 (cl (= tptp.nil (tptp.app tptp.nil tptp.nil))) :rule resolution :premises (t615 a7))
% 78.07/78.33  (step t617 (cl (not (= (or (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (not (= tptp.sk11 (tptp.hd tptp.sk9)))) (not (= tptp.sk6 (tptp.skaf83 tptp.sk9)))) (or (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (= tptp.sk11 (tptp.hd tptp.sk9)) (not (= tptp.sk6 (tptp.skaf83 tptp.sk9)))))) (not (or (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (not (= tptp.sk11 (tptp.hd tptp.sk9)))) (not (= tptp.sk6 (tptp.skaf83 tptp.sk9))))) (or (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (= tptp.sk11 (tptp.hd tptp.sk9)) (not (= tptp.sk6 (tptp.skaf83 tptp.sk9))))) :rule equiv_pos2)
% 78.07/78.33  (step t618 (cl (= (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) :rule refl)
% 78.07/78.33  (step t619 (cl (= (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))))) :rule refl)
% 78.07/78.33  (step t620 (cl (= (= (= (not (not (= tptp.sk11 (tptp.hd tptp.sk9)))) (= tptp.sk11 (tptp.hd tptp.sk9))) true) (= (not (not (= tptp.sk11 (tptp.hd tptp.sk9)))) (= tptp.sk11 (tptp.hd tptp.sk9))))) :rule equiv_simplify)
% 78.07/78.33  (step t621 (cl (not (= (= (not (not (= tptp.sk11 (tptp.hd tptp.sk9)))) (= tptp.sk11 (tptp.hd tptp.sk9))) true)) (= (not (not (= tptp.sk11 (tptp.hd tptp.sk9)))) (= tptp.sk11 (tptp.hd tptp.sk9)))) :rule equiv1 :premises (t620))
% 78.07/78.33  (step t622 (cl (= (= (not (not (= tptp.sk11 (tptp.hd tptp.sk9)))) (= tptp.sk11 (tptp.hd tptp.sk9))) (= (= tptp.sk11 (tptp.hd tptp.sk9)) (not (not (= tptp.sk11 (tptp.hd tptp.sk9))))))) :rule all_simplify)
% 78.07/78.33  (step t623 (cl (= (= tptp.sk11 (tptp.hd tptp.sk9)) (= tptp.sk11 (tptp.hd tptp.sk9)))) :rule refl)
% 78.07/78.33  (step t624 (cl (= (not (not (= tptp.sk11 (tptp.hd tptp.sk9)))) (= tptp.sk11 (tptp.hd tptp.sk9)))) :rule all_simplify)
% 78.07/78.33  (step t625 (cl (= (= (= tptp.sk11 (tptp.hd tptp.sk9)) (not (not (= tptp.sk11 (tptp.hd tptp.sk9))))) (= (= tptp.sk11 (tptp.hd tptp.sk9)) (= tptp.sk11 (tptp.hd tptp.sk9))))) :rule cong :premises (t623 t624))
% 78.07/78.33  (step t626 (cl (= (= (= tptp.sk11 (tptp.hd tptp.sk9)) (= tptp.sk11 (tptp.hd tptp.sk9))) true)) :rule all_simplify)
% 78.07/78.33  (step t627 (cl (= (= (= tptp.sk11 (tptp.hd tptp.sk9)) (not (not (= tptp.sk11 (tptp.hd tptp.sk9))))) true)) :rule trans :premises (t625 t626))
% 78.07/78.33  (step t628 (cl (= (= (not (not (= tptp.sk11 (tptp.hd tptp.sk9)))) (= tptp.sk11 (tptp.hd tptp.sk9))) true)) :rule trans :premises (t622 t627))
% 78.07/78.33  (step t629 (cl (= (not (not (= tptp.sk11 (tptp.hd tptp.sk9)))) (= tptp.sk11 (tptp.hd tptp.sk9)))) :rule resolution :premises (t621 t628))
% 78.07/78.33  (step t630 (cl (= (or (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (not (= tptp.sk11 (tptp.hd tptp.sk9)))) (not (= tptp.sk6 (tptp.skaf83 tptp.sk9)))) (or (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (= tptp.sk11 (tptp.hd tptp.sk9)) (not (= tptp.sk6 (tptp.skaf83 tptp.sk9)))))) :rule cong :premises (t618 t19 t619 t629 t343))
% 78.07/78.33  (step t631 (cl (and (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= tptp.sk11 (tptp.hd tptp.sk9)))) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (not (= tptp.sk11 (tptp.hd tptp.sk9))))) :rule and_neg)
% 78.07/78.33  (step t632 (cl (=> (and (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= tptp.sk11 (tptp.hd tptp.sk9)))) (not (= tptp.sk6 (tptp.skaf83 tptp.sk9)))) (and (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= tptp.sk11 (tptp.hd tptp.sk9))))) :rule implies_neg1)
% 78.07/78.33  (anchor :step t633)
% 78.07/78.33  (assume t633.a0 (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))
% 78.07/78.33  (assume t633.a1 (= tptp.sk6 tptp.sk11))
% 78.07/78.33  (assume t633.a2 (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))
% 78.07/78.33  (assume t633.a3 (not (= tptp.sk11 (tptp.hd tptp.sk9))))
% 78.07/78.33  (step t633.t1 (cl (=> (and (not (= tptp.sk11 (tptp.hd tptp.sk9))) (= tptp.sk6 tptp.sk11) (= (tptp.hd tptp.sk9) (tptp.skaf83 tptp.sk9))) (not (= tptp.sk6 (tptp.skaf83 tptp.sk9)))) (and (not (= tptp.sk11 (tptp.hd tptp.sk9))) (= tptp.sk6 tptp.sk11) (= (tptp.hd tptp.sk9) (tptp.skaf83 tptp.sk9)))) :rule implies_neg1)
% 78.07/78.33  (anchor :step t633.t2)
% 78.07/78.33  (assume t633.t2.a0 (not (= tptp.sk11 (tptp.hd tptp.sk9))))
% 78.07/78.33  (assume t633.t2.a1 (= tptp.sk6 tptp.sk11))
% 78.07/78.33  (assume t633.t2.a2 (= (tptp.hd tptp.sk9) (tptp.skaf83 tptp.sk9)))
% 78.07/78.33  (step t633.t2.t1 (cl (= (= (= tptp.sk6 (tptp.skaf83 tptp.sk9)) false) (not (= tptp.sk6 (tptp.skaf83 tptp.sk9))))) :rule equiv_simplify)
% 78.07/78.33  (step t633.t2.t2 (cl (not (= (= tptp.sk6 (tptp.skaf83 tptp.sk9)) false)) (not (= tptp.sk6 (tptp.skaf83 tptp.sk9)))) :rule equiv1 :premises (t633.t2.t1))
% 78.07/78.33  (step t633.t2.t3 (cl (= tptp.sk11 tptp.sk6)) :rule symm :premises (t633.t2.a1))
% 78.07/78.33  (step t633.t2.t4 (cl (= tptp.sk6 tptp.sk11)) :rule symm :premises (t633.t2.t3))
% 78.07/78.33  (step t633.t2.t5 (cl (= (tptp.skaf83 tptp.sk9) (tptp.hd tptp.sk9))) :rule symm :premises (t633.t2.a2))
% 78.07/78.33  (step t633.t2.t6 (cl (= (= tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.hd tptp.sk9)))) :rule cong :premises (t633.t2.t4 t633.t2.t5))
% 78.07/78.33  (step t633.t2.t7 (cl (= (= (= tptp.sk11 (tptp.hd tptp.sk9)) false) (not (= tptp.sk11 (tptp.hd tptp.sk9))))) :rule equiv_simplify)
% 78.07/78.33  (step t633.t2.t8 (cl (= (= tptp.sk11 (tptp.hd tptp.sk9)) false) (not (not (= tptp.sk11 (tptp.hd tptp.sk9))))) :rule equiv2 :premises (t633.t2.t7))
% 78.07/78.33  (step t633.t2.t9 (cl (not (not (not (= tptp.sk11 (tptp.hd tptp.sk9))))) (= tptp.sk11 (tptp.hd tptp.sk9))) :rule not_not)
% 78.07/78.33  (step t633.t2.t10 (cl (= (= tptp.sk11 (tptp.hd tptp.sk9)) false) (= tptp.sk11 (tptp.hd tptp.sk9))) :rule resolution :premises (t633.t2.t8 t633.t2.t9))
% 78.07/78.33  (step t633.t2.t11 (cl (= (= tptp.sk11 (tptp.hd tptp.sk9)) false)) :rule resolution :premises (t633.t2.t10 t633.t2.a0))
% 78.07/78.33  (step t633.t2.t12 (cl (= (= tptp.sk6 (tptp.skaf83 tptp.sk9)) false)) :rule trans :premises (t633.t2.t6 t633.t2.t11))
% 78.07/78.33  (step t633.t2.t13 (cl (not (= tptp.sk6 (tptp.skaf83 tptp.sk9)))) :rule resolution :premises (t633.t2.t2 t633.t2.t12))
% 78.07/78.33  (step t633.t2 (cl (not (not (= tptp.sk11 (tptp.hd tptp.sk9)))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.hd tptp.sk9) (tptp.skaf83 tptp.sk9))) (not (= tptp.sk6 (tptp.skaf83 tptp.sk9)))) :rule subproof :discharge (t633.t2.a0 t633.t2.a1 t633.t2.a2))
% 78.07/78.33  (step t633.t3 (cl (not (and (not (= tptp.sk11 (tptp.hd tptp.sk9))) (= tptp.sk6 tptp.sk11) (= (tptp.hd tptp.sk9) (tptp.skaf83 tptp.sk9)))) (not (= tptp.sk11 (tptp.hd tptp.sk9)))) :rule and_pos)
% 78.07/78.33  (step t633.t4 (cl (not (and (not (= tptp.sk11 (tptp.hd tptp.sk9))) (= tptp.sk6 tptp.sk11) (= (tptp.hd tptp.sk9) (tptp.skaf83 tptp.sk9)))) (= tptp.sk6 tptp.sk11)) :rule and_pos)
% 78.07/78.33  (step t633.t5 (cl (not (and (not (= tptp.sk11 (tptp.hd tptp.sk9))) (= tptp.sk6 tptp.sk11) (= (tptp.hd tptp.sk9) (tptp.skaf83 tptp.sk9)))) (= (tptp.hd tptp.sk9) (tptp.skaf83 tptp.sk9))) :rule and_pos)
% 78.07/78.33  (step t633.t6 (cl (not (= tptp.sk6 (tptp.skaf83 tptp.sk9))) (not (and (not (= tptp.sk11 (tptp.hd tptp.sk9))) (= tptp.sk6 tptp.sk11) (= (tptp.hd tptp.sk9) (tptp.skaf83 tptp.sk9)))) (not (and (not (= tptp.sk11 (tptp.hd tptp.sk9))) (= tptp.sk6 tptp.sk11) (= (tptp.hd tptp.sk9) (tptp.skaf83 tptp.sk9)))) (not (and (not (= tptp.sk11 (tptp.hd tptp.sk9))) (= tptp.sk6 tptp.sk11) (= (tptp.hd tptp.sk9) (tptp.skaf83 tptp.sk9))))) :rule resolution :premises (t633.t2 t633.t3 t633.t4 t633.t5))
% 78.07/78.33  (step t633.t7 (cl (not (and (not (= tptp.sk11 (tptp.hd tptp.sk9))) (= tptp.sk6 tptp.sk11) (= (tptp.hd tptp.sk9) (tptp.skaf83 tptp.sk9)))) (not (and (not (= tptp.sk11 (tptp.hd tptp.sk9))) (= tptp.sk6 tptp.sk11) (= (tptp.hd tptp.sk9) (tptp.skaf83 tptp.sk9)))) (not (and (not (= tptp.sk11 (tptp.hd tptp.sk9))) (= tptp.sk6 tptp.sk11) (= (tptp.hd tptp.sk9) (tptp.skaf83 tptp.sk9)))) (not (= tptp.sk6 (tptp.skaf83 tptp.sk9)))) :rule reordering :premises (t633.t6))
% 78.07/78.33  (step t633.t8 (cl (not (and (not (= tptp.sk11 (tptp.hd tptp.sk9))) (= tptp.sk6 tptp.sk11) (= (tptp.hd tptp.sk9) (tptp.skaf83 tptp.sk9)))) (not (= tptp.sk6 (tptp.skaf83 tptp.sk9)))) :rule contraction :premises (t633.t7))
% 78.07/78.33  (step t633.t9 (cl (=> (and (not (= tptp.sk11 (tptp.hd tptp.sk9))) (= tptp.sk6 tptp.sk11) (= (tptp.hd tptp.sk9) (tptp.skaf83 tptp.sk9))) (not (= tptp.sk6 (tptp.skaf83 tptp.sk9)))) (not (= tptp.sk6 (tptp.skaf83 tptp.sk9)))) :rule resolution :premises (t633.t1 t633.t8))
% 78.07/78.33  (step t633.t10 (cl (=> (and (not (= tptp.sk11 (tptp.hd tptp.sk9))) (= tptp.sk6 tptp.sk11) (= (tptp.hd tptp.sk9) (tptp.skaf83 tptp.sk9))) (not (= tptp.sk6 (tptp.skaf83 tptp.sk9)))) (not (not (= tptp.sk6 (tptp.skaf83 tptp.sk9))))) :rule implies_neg2)
% 78.07/78.33  (step t633.t11 (cl (=> (and (not (= tptp.sk11 (tptp.hd tptp.sk9))) (= tptp.sk6 tptp.sk11) (= (tptp.hd tptp.sk9) (tptp.skaf83 tptp.sk9))) (not (= tptp.sk6 (tptp.skaf83 tptp.sk9)))) (=> (and (not (= tptp.sk11 (tptp.hd tptp.sk9))) (= tptp.sk6 tptp.sk11) (= (tptp.hd tptp.sk9) (tptp.skaf83 tptp.sk9))) (not (= tptp.sk6 (tptp.skaf83 tptp.sk9))))) :rule resolution :premises (t633.t9 t633.t10))
% 78.07/78.33  (step t633.t12 (cl (=> (and (not (= tptp.sk11 (tptp.hd tptp.sk9))) (= tptp.sk6 tptp.sk11) (= (tptp.hd tptp.sk9) (tptp.skaf83 tptp.sk9))) (not (= tptp.sk6 (tptp.skaf83 tptp.sk9))))) :rule contraction :premises (t633.t11))
% 78.07/78.33  (step t633.t13 (cl (not (and (not (= tptp.sk11 (tptp.hd tptp.sk9))) (= tptp.sk6 tptp.sk11) (= (tptp.hd tptp.sk9) (tptp.skaf83 tptp.sk9)))) (not (= tptp.sk6 (tptp.skaf83 tptp.sk9)))) :rule implies :premises (t633.t12))
% 78.07/78.33  (step t633.t14 (cl (and (not (= tptp.sk11 (tptp.hd tptp.sk9))) (= tptp.sk6 tptp.sk11) (= (tptp.hd tptp.sk9) (tptp.skaf83 tptp.sk9))) (not (not (= tptp.sk11 (tptp.hd tptp.sk9)))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.hd tptp.sk9) (tptp.skaf83 tptp.sk9)))) :rule and_neg)
% 78.07/78.33  (step t633.t15 (cl (=> (and (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (= (tptp.hd tptp.sk9) (tptp.skaf83 tptp.sk9))) (and (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) :rule implies_neg1)
% 78.07/78.33  (anchor :step t633.t16)
% 78.07/78.33  (assume t633.t16.a0 (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))
% 78.07/78.33  (assume t633.t16.a1 (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))
% 78.07/78.33  (step t633.t16.t1 (cl (= (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)) tptp.sk9)) :rule symm :premises (t633.t16.a1))
% 78.07/78.33  (step t633.t16.t2 (cl (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) :rule symm :premises (t633.t16.t1))
% 78.07/78.33  (step t633.t16.t3 (cl (= (tptp.hd tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) :rule cong :premises (t633.t16.t2))
% 78.07/78.33  (step t633.t16.t4 (cl (= (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9))) :rule symm :premises (t633.t16.a0))
% 78.07/78.33  (step t633.t16.t5 (cl (= (tptp.hd tptp.sk9) (tptp.skaf83 tptp.sk9))) :rule trans :premises (t633.t16.t3 t633.t16.t4))
% 78.07/78.33  (step t633.t16 (cl (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (= (tptp.hd tptp.sk9) (tptp.skaf83 tptp.sk9))) :rule subproof :discharge (t633.t16.a0 t633.t16.a1))
% 78.07/78.33  (step t633.t17 (cl (not (and (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) :rule and_pos)
% 78.07/78.33  (step t633.t18 (cl (not (and (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) :rule and_pos)
% 78.07/78.33  (step t633.t19 (cl (= (tptp.hd tptp.sk9) (tptp.skaf83 tptp.sk9)) (not (and (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (and (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) :rule resolution :premises (t633.t16 t633.t17 t633.t18))
% 78.07/78.33  (step t633.t20 (cl (not (and (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (and (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (= (tptp.hd tptp.sk9) (tptp.skaf83 tptp.sk9))) :rule reordering :premises (t633.t19))
% 78.07/78.33  (step t633.t21 (cl (not (and (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (= (tptp.hd tptp.sk9) (tptp.skaf83 tptp.sk9))) :rule contraction :premises (t633.t20))
% 78.07/78.33  (step t633.t22 (cl (=> (and (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (= (tptp.hd tptp.sk9) (tptp.skaf83 tptp.sk9))) (= (tptp.hd tptp.sk9) (tptp.skaf83 tptp.sk9))) :rule resolution :premises (t633.t15 t633.t21))
% 78.07/78.33  (step t633.t23 (cl (=> (and (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (= (tptp.hd tptp.sk9) (tptp.skaf83 tptp.sk9))) (not (= (tptp.hd tptp.sk9) (tptp.skaf83 tptp.sk9)))) :rule implies_neg2)
% 78.07/78.33  (step t633.t24 (cl (=> (and (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (= (tptp.hd tptp.sk9) (tptp.skaf83 tptp.sk9))) (=> (and (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (= (tptp.hd tptp.sk9) (tptp.skaf83 tptp.sk9)))) :rule resolution :premises (t633.t22 t633.t23))
% 78.07/78.33  (step t633.t25 (cl (=> (and (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (= (tptp.hd tptp.sk9) (tptp.skaf83 tptp.sk9)))) :rule contraction :premises (t633.t24))
% 78.07/78.33  (step t633.t26 (cl (not (and (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (= (tptp.hd tptp.sk9) (tptp.skaf83 tptp.sk9))) :rule implies :premises (t633.t25))
% 78.07/78.33  (step t633.t27 (cl (and (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) :rule and_neg)
% 78.07/78.33  (step t633.t28 (cl (and (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) :rule resolution :premises (t633.t27 t633.a2 t633.a0))
% 78.07/78.33  (step t633.t29 (cl (= (tptp.hd tptp.sk9) (tptp.skaf83 tptp.sk9))) :rule resolution :premises (t633.t26 t633.t28))
% 78.07/78.33  (step t633.t30 (cl (and (not (= tptp.sk11 (tptp.hd tptp.sk9))) (= tptp.sk6 tptp.sk11) (= (tptp.hd tptp.sk9) (tptp.skaf83 tptp.sk9)))) :rule resolution :premises (t633.t14 t633.a3 t633.a1 t633.t29))
% 78.07/78.33  (step t633.t31 (cl (not (= tptp.sk6 (tptp.skaf83 tptp.sk9)))) :rule resolution :premises (t633.t13 t633.t30))
% 78.07/78.33  (step t633 (cl (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (not (= tptp.sk11 (tptp.hd tptp.sk9)))) (not (= tptp.sk6 (tptp.skaf83 tptp.sk9)))) :rule subproof :discharge (t633.a0 t633.a1 t633.a2 t633.a3))
% 78.07/78.33  (step t634 (cl (not (and (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= tptp.sk11 (tptp.hd tptp.sk9))))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) :rule and_pos)
% 78.07/78.33  (step t635 (cl (not (and (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= tptp.sk11 (tptp.hd tptp.sk9))))) (= tptp.sk6 tptp.sk11)) :rule and_pos)
% 78.07/78.33  (step t636 (cl (not (and (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= tptp.sk11 (tptp.hd tptp.sk9))))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) :rule and_pos)
% 78.07/78.33  (step t637 (cl (not (and (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= tptp.sk11 (tptp.hd tptp.sk9))))) (not (= tptp.sk11 (tptp.hd tptp.sk9)))) :rule and_pos)
% 78.07/78.33  (step t638 (cl (not (= tptp.sk6 (tptp.skaf83 tptp.sk9))) (not (and (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= tptp.sk11 (tptp.hd tptp.sk9))))) (not (and (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= tptp.sk11 (tptp.hd tptp.sk9))))) (not (and (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= tptp.sk11 (tptp.hd tptp.sk9))))) (not (and (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= tptp.sk11 (tptp.hd tptp.sk9)))))) :rule resolution :premises (t633 t634 t635 t636 t637))
% 78.07/78.33  (step t639 (cl (not (and (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= tptp.sk11 (tptp.hd tptp.sk9))))) (not (and (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= tptp.sk11 (tptp.hd tptp.sk9))))) (not (and (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= tptp.sk11 (tptp.hd tptp.sk9))))) (not (and (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= tptp.sk11 (tptp.hd tptp.sk9))))) (not (= tptp.sk6 (tptp.skaf83 tptp.sk9)))) :rule reordering :premises (t638))
% 78.07/78.33  (step t640 (cl (not (and (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= tptp.sk11 (tptp.hd tptp.sk9))))) (not (= tptp.sk6 (tptp.skaf83 tptp.sk9)))) :rule contraction :premises (t639))
% 78.07/78.33  (step t641 (cl (=> (and (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= tptp.sk11 (tptp.hd tptp.sk9)))) (not (= tptp.sk6 (tptp.skaf83 tptp.sk9)))) (not (= tptp.sk6 (tptp.skaf83 tptp.sk9)))) :rule resolution :premises (t632 t640))
% 78.07/78.33  (step t642 (cl (=> (and (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= tptp.sk11 (tptp.hd tptp.sk9)))) (not (= tptp.sk6 (tptp.skaf83 tptp.sk9)))) (not (not (= tptp.sk6 (tptp.skaf83 tptp.sk9))))) :rule implies_neg2)
% 78.07/78.33  (step t643 (cl (=> (and (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= tptp.sk11 (tptp.hd tptp.sk9)))) (not (= tptp.sk6 (tptp.skaf83 tptp.sk9)))) (=> (and (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= tptp.sk11 (tptp.hd tptp.sk9)))) (not (= tptp.sk6 (tptp.skaf83 tptp.sk9))))) :rule resolution :premises (t641 t642))
% 78.07/78.33  (step t644 (cl (=> (and (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= tptp.sk11 (tptp.hd tptp.sk9)))) (not (= tptp.sk6 (tptp.skaf83 tptp.sk9))))) :rule contraction :premises (t643))
% 78.07/78.33  (step t645 (cl (not (and (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= tptp.sk11 (tptp.hd tptp.sk9))))) (not (= tptp.sk6 (tptp.skaf83 tptp.sk9)))) :rule implies :premises (t644))
% 78.07/78.33  (step t646 (cl (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (not (= tptp.sk11 (tptp.hd tptp.sk9)))) (not (= tptp.sk6 (tptp.skaf83 tptp.sk9)))) :rule resolution :premises (t631 t645))
% 78.07/78.33  (step t647 (cl (or (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (not (= tptp.sk11 (tptp.hd tptp.sk9)))) (not (= tptp.sk6 (tptp.skaf83 tptp.sk9)))) (not (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) :rule or_neg)
% 78.07/78.33  (step t648 (cl (or (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (not (= tptp.sk11 (tptp.hd tptp.sk9)))) (not (= tptp.sk6 (tptp.skaf83 tptp.sk9)))) (not (not (= tptp.sk6 tptp.sk11)))) :rule or_neg)
% 78.07/78.33  (step t649 (cl (or (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (not (= tptp.sk11 (tptp.hd tptp.sk9)))) (not (= tptp.sk6 (tptp.skaf83 tptp.sk9)))) (not (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))))) :rule or_neg)
% 78.07/78.33  (step t650 (cl (or (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (not (= tptp.sk11 (tptp.hd tptp.sk9)))) (not (= tptp.sk6 (tptp.skaf83 tptp.sk9)))) (not (not (not (= tptp.sk11 (tptp.hd tptp.sk9)))))) :rule or_neg)
% 78.07/78.33  (step t651 (cl (or (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (not (= tptp.sk11 (tptp.hd tptp.sk9)))) (not (= tptp.sk6 (tptp.skaf83 tptp.sk9)))) (not (not (= tptp.sk6 (tptp.skaf83 tptp.sk9))))) :rule or_neg)
% 78.07/78.33  (step t652 (cl (or (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (not (= tptp.sk11 (tptp.hd tptp.sk9)))) (not (= tptp.sk6 (tptp.skaf83 tptp.sk9)))) (or (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (not (= tptp.sk11 (tptp.hd tptp.sk9)))) (not (= tptp.sk6 (tptp.skaf83 tptp.sk9)))) (or (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (not (= tptp.sk11 (tptp.hd tptp.sk9)))) (not (= tptp.sk6 (tptp.skaf83 tptp.sk9)))) (or (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (not (= tptp.sk11 (tptp.hd tptp.sk9)))) (not (= tptp.sk6 (tptp.skaf83 tptp.sk9)))) (or (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (not (= tptp.sk11 (tptp.hd tptp.sk9)))) (not (= tptp.sk6 (tptp.skaf83 tptp.sk9))))) :rule resolution :premises (t646 t647 t648 t649 t650 t651))
% 78.07/78.33  (step t653 (cl (or (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (not (= tptp.sk11 (tptp.hd tptp.sk9)))) (not (= tptp.sk6 (tptp.skaf83 tptp.sk9))))) :rule contraction :premises (t652))
% 78.07/78.33  (step t654 (cl (or (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (= tptp.sk11 (tptp.hd tptp.sk9)) (not (= tptp.sk6 (tptp.skaf83 tptp.sk9))))) :rule resolution :premises (t617 t630 t653))
% 78.07/78.33  (step t655 (cl (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (= tptp.sk11 (tptp.hd tptp.sk9)) (not (= tptp.sk6 (tptp.skaf83 tptp.sk9)))) :rule or :premises (t654))
% 78.07/78.33  (step t656 (cl (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= tptp.sk6 tptp.sk11)) (= tptp.sk11 (tptp.hd tptp.sk9)) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (= tptp.sk6 (tptp.skaf83 tptp.sk9)))) :rule reordering :premises (t655))
% 78.07/78.33  (step t657 (cl (not (or (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) :rule or_pos)
% 78.07/78.33  (step t658 (cl (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (or (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))))) :rule reordering :premises (t657))
% 78.07/78.33  (step t659 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) :rule implies_neg1)
% 78.07/78.33  (anchor :step t660)
% 78.07/78.33  (assume t660.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))))
% 78.07/78.33  (step t660.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))))) :rule forall_inst :args ((:= U (tptp.skaf83 tptp.sk9)) (:= V (tptp.skaf82 tptp.sk9))))
% 78.07/78.33  (step t660.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) :rule or :premises (t660.t1))
% 78.07/78.33  (step t660.t3 (cl (or (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) :rule resolution :premises (t660.t2 t660.a0))
% 78.07/78.33  (step t660 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) :rule subproof :discharge (t660.a0))
% 78.07/78.33  (step t661 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) :rule resolution :premises (t659 t660))
% 78.07/78.33  (step t662 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) (not (or (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))))) :rule implies_neg2)
% 78.07/78.33  (step t663 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))))) :rule resolution :premises (t661 t662))
% 78.07/78.33  (step t664 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))))) :rule contraction :premises (t663))
% 78.07/78.33  (step t665 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) :rule implies :premises (t664))
% 78.07/78.33  (step t666 (cl (or (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) :rule resolution :premises (t665 t215))
% 78.07/78.33  (step t667 (cl (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) :rule resolution :premises (t658 t427 t452 t666))
% 78.07/78.33  (step t668 (cl (not (= (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk11 tptp.sk11))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9))) (not (= tptp.sk11 (tptp.hd tptp.sk9)))) (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (tptp.lt tptp.sk11 tptp.sk11) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9))) (not (= tptp.sk11 (tptp.hd tptp.sk9)))))) (not (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk11 tptp.sk11))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9))) (not (= tptp.sk11 (tptp.hd tptp.sk9))))) (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (tptp.lt tptp.sk11 tptp.sk11) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9))) (not (= tptp.sk11 (tptp.hd tptp.sk9))))) :rule equiv_pos2)
% 78.07/78.33  (step t669 (cl (= (= (= (not (not (tptp.lt tptp.sk11 tptp.sk11))) (tptp.lt tptp.sk11 tptp.sk11)) true) (= (not (not (tptp.lt tptp.sk11 tptp.sk11))) (tptp.lt tptp.sk11 tptp.sk11)))) :rule equiv_simplify)
% 78.07/78.33  (step t670 (cl (not (= (= (not (not (tptp.lt tptp.sk11 tptp.sk11))) (tptp.lt tptp.sk11 tptp.sk11)) true)) (= (not (not (tptp.lt tptp.sk11 tptp.sk11))) (tptp.lt tptp.sk11 tptp.sk11))) :rule equiv1 :premises (t669))
% 78.07/78.33  (step t671 (cl (= (= (not (not (tptp.lt tptp.sk11 tptp.sk11))) (tptp.lt tptp.sk11 tptp.sk11)) (= (tptp.lt tptp.sk11 tptp.sk11) (not (not (tptp.lt tptp.sk11 tptp.sk11)))))) :rule all_simplify)
% 78.07/78.33  (step t672 (cl (= (tptp.lt tptp.sk11 tptp.sk11) (tptp.lt tptp.sk11 tptp.sk11))) :rule refl)
% 78.07/78.33  (step t673 (cl (= (not (not (tptp.lt tptp.sk11 tptp.sk11))) (tptp.lt tptp.sk11 tptp.sk11))) :rule all_simplify)
% 78.07/78.33  (step t674 (cl (= (= (tptp.lt tptp.sk11 tptp.sk11) (not (not (tptp.lt tptp.sk11 tptp.sk11)))) (= (tptp.lt tptp.sk11 tptp.sk11) (tptp.lt tptp.sk11 tptp.sk11)))) :rule cong :premises (t672 t673))
% 78.07/78.33  (step t675 (cl (= (= (tptp.lt tptp.sk11 tptp.sk11) (tptp.lt tptp.sk11 tptp.sk11)) true)) :rule all_simplify)
% 78.07/78.33  (step t676 (cl (= (= (tptp.lt tptp.sk11 tptp.sk11) (not (not (tptp.lt tptp.sk11 tptp.sk11)))) true)) :rule trans :premises (t674 t675))
% 78.07/78.33  (step t677 (cl (= (= (not (not (tptp.lt tptp.sk11 tptp.sk11))) (tptp.lt tptp.sk11 tptp.sk11)) true)) :rule trans :premises (t671 t676))
% 78.07/78.33  (step t678 (cl (= (not (not (tptp.lt tptp.sk11 tptp.sk11))) (tptp.lt tptp.sk11 tptp.sk11))) :rule resolution :premises (t670 t677))
% 78.07/78.33  (step t679 (cl (= (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9))))) :rule refl)
% 78.07/78.33  (step t680 (cl (= (not (= tptp.sk11 (tptp.hd tptp.sk9))) (not (= tptp.sk11 (tptp.hd tptp.sk9))))) :rule refl)
% 78.07/78.33  (step t681 (cl (= (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk11 tptp.sk11))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9))) (not (= tptp.sk11 (tptp.hd tptp.sk9)))) (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (tptp.lt tptp.sk11 tptp.sk11) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9))) (not (= tptp.sk11 (tptp.hd tptp.sk9)))))) :rule cong :premises (t4 t678 t15 t618 t16 t17 t18 t19 t619 t679 t680))
% 78.07/78.33  (step t682 (cl (not (= (=> (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.hd tptp.sk9))) (and (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.hd tptp.sk9)))))) (not (=> (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.hd tptp.sk9))) (and (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9))))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.hd tptp.sk9))))) :rule equiv_pos2)
% 78.07/78.33  (step t683 (cl (= (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.hd tptp.sk9))) (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.hd tptp.sk9))))) :rule refl)
% 78.07/78.33  (step t684 (cl (= (= (and (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9))) false) (not (and (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)))))) :rule equiv_simplify)
% 78.07/78.33  (step t685 (cl (= (and (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9))) false) (not (not (and (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)))))) :rule equiv2 :premises (t684))
% 78.07/78.33  (step t686 (cl (not (not (not (and (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)))))) (and (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)))) :rule not_not)
% 78.07/78.33  (step t687 (cl (= (and (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9))) false) (and (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)))) :rule resolution :premises (t685 t686))
% 78.07/78.33  (step t688 (cl (=> (and (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9))) false) (and (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)))) :rule implies_neg1)
% 78.07/78.33  (anchor :step t689)
% 78.07/78.33  (assume t689.a0 (not (tptp.lt tptp.sk11 tptp.sk11)))
% 78.07/78.33  (assume t689.a1 (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))))
% 78.07/78.33  (assume t689.a2 (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)))
% 78.07/78.33  (assume t689.a3 (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))))
% 78.07/78.33  (assume t689.a4 (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))))
% 78.07/78.33  (assume t689.a5 (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))
% 78.07/78.33  (assume t689.a6 (= tptp.sk6 tptp.sk11))
% 78.07/78.33  (assume t689.a7 (= tptp.sk11 (tptp.hd tptp.sk9)))
% 78.07/78.33  (assume t689.a8 (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))
% 78.07/78.33  (assume t689.a9 (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))
% 78.07/78.33  (assume t689.a10 (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)))
% 78.07/78.33  (step t689.t1 (cl (not (= (= true false) false)) (not (= true false)) false) :rule equiv_pos2)
% 78.07/78.33  (step t689.t2 (cl (= (= true false) false)) :rule all_simplify)
% 78.07/78.33  (step t689.t3 (cl (= (= (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)) true) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)))) :rule equiv_simplify)
% 78.07/78.33  (step t689.t4 (cl (= (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)) true) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)))) :rule equiv2 :premises (t689.t3))
% 78.07/78.33  (step t689.t5 (cl (= (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)) true)) :rule resolution :premises (t689.t4 t689.a10))
% 78.07/78.33  (step t689.t6 (cl (= true (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)))) :rule symm :premises (t689.t5))
% 78.07/78.33  (step t689.t7 (cl (= tptp.sk11 tptp.sk6)) :rule symm :premises (t689.a6))
% 78.07/78.33  (step t689.t8 (cl (= tptp.sk6 tptp.sk11)) :rule symm :premises (t689.t7))
% 78.07/78.33  (step t689.t9 (cl (= (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9))) :rule symm :premises (t689.a9))
% 78.07/78.33  (step t689.t10 (cl (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) :rule symm :premises (t689.t9))
% 78.07/78.33  (step t689.t11 (cl (= (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)) tptp.sk9)) :rule symm :premises (t689.a8))
% 78.07/78.33  (step t689.t12 (cl (= (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.hd tptp.sk9))) :rule cong :premises (t689.t11))
% 78.07/78.33  (step t689.t13 (cl (= (tptp.hd tptp.sk9) tptp.sk11)) :rule symm :premises (t689.a7))
% 78.07/78.33  (step t689.t14 (cl (= (tptp.cons tptp.sk11 tptp.nil) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) :rule symm :premises (t689.a2))
% 78.07/78.33  (step t689.t15 (cl (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) :rule symm :premises (t689.t14))
% 78.07/78.33  (step t689.t16 (cl (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) :rule cong :premises (t689.t15))
% 78.07/78.33  (step t689.t17 (cl (= (tptp.hd (tptp.cons tptp.sk11 tptp.nil)) (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) :rule symm :premises (t689.t16))
% 78.07/78.33  (step t689.t18 (cl (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) :rule symm :premises (t689.a4))
% 78.07/78.33  (step t689.t19 (cl (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule symm :premises (t689.a5))
% 78.07/78.33  (step t689.t20 (cl (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule trans :premises (t689.t10 t689.t12 t689.t13 t689.a1 t689.t17 t689.a3 t689.t18 t689.t19))
% 78.07/78.33  (step t689.t21 (cl (= (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)) (tptp.lt tptp.sk11 (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule cong :premises (t689.t8 t689.t20))
% 78.07/78.33  (step t689.t22 (cl (= tptp.sk11 tptp.sk11)) :rule refl)
% 78.07/78.33  (step t689.t23 (cl (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) :rule symm :premises (t689.t19))
% 78.07/78.33  (step t689.t24 (cl (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) :rule symm :premises (t689.t18))
% 78.07/78.33  (step t689.t25 (cl (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) :rule symm :premises (t689.a3))
% 78.07/78.33  (step t689.t26 (cl (= (tptp.hd (tptp.cons tptp.sk11 tptp.nil)) tptp.sk11)) :rule symm :premises (t689.a1))
% 78.07/78.33  (step t689.t27 (cl (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) tptp.sk11)) :rule trans :premises (t689.t23 t689.t24 t689.t25 t689.t16 t689.t26))
% 78.07/78.33  (step t689.t28 (cl (= (tptp.lt tptp.sk11 (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.lt tptp.sk11 tptp.sk11))) :rule cong :premises (t689.t22 t689.t27))
% 78.07/78.33  (step t689.t29 (cl (= (= (tptp.lt tptp.sk11 tptp.sk11) false) (not (tptp.lt tptp.sk11 tptp.sk11)))) :rule equiv_simplify)
% 78.07/78.33  (step t689.t30 (cl (= (tptp.lt tptp.sk11 tptp.sk11) false) (not (not (tptp.lt tptp.sk11 tptp.sk11)))) :rule equiv2 :premises (t689.t29))
% 78.07/78.33  (step t689.t31 (cl (not (not (not (tptp.lt tptp.sk11 tptp.sk11)))) (tptp.lt tptp.sk11 tptp.sk11)) :rule not_not)
% 78.07/78.33  (step t689.t32 (cl (= (tptp.lt tptp.sk11 tptp.sk11) false) (tptp.lt tptp.sk11 tptp.sk11)) :rule resolution :premises (t689.t30 t689.t31))
% 78.07/78.33  (step t689.t33 (cl (= (tptp.lt tptp.sk11 tptp.sk11) false)) :rule resolution :premises (t689.t32 t689.a0))
% 78.07/78.33  (step t689.t34 (cl (= true false)) :rule trans :premises (t689.t6 t689.t21 t689.t28 t689.t33))
% 78.07/78.33  (step t689.t35 (cl false) :rule resolution :premises (t689.t1 t689.t2 t689.t34))
% 78.07/78.33  (step t689 (cl (not (not (tptp.lt tptp.sk11 tptp.sk11))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= tptp.sk6 tptp.sk11)) (not (= tptp.sk11 (tptp.hd tptp.sk9))) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9))) false) :rule subproof :discharge (t689.a0 t689.a1 t689.a2 t689.a3 t689.a4 t689.a5 t689.a6 t689.a7 t689.a8 t689.a9 t689.a10))
% 78.07/78.33  (step t690 (cl (not (and (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)))) (not (tptp.lt tptp.sk11 tptp.sk11))) :rule and_pos)
% 78.07/78.33  (step t691 (cl (not (and (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)))) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) :rule and_pos)
% 78.07/78.33  (step t692 (cl (not (and (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) :rule and_pos)
% 78.07/78.33  (step t693 (cl (not (and (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) :rule and_pos)
% 78.07/78.33  (step t694 (cl (not (and (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) :rule and_pos)
% 78.07/78.33  (step t695 (cl (not (and (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) :rule and_pos)
% 78.07/78.33  (step t696 (cl (not (and (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)))) (= tptp.sk6 tptp.sk11)) :rule and_pos)
% 78.07/78.33  (step t697 (cl (not (and (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)))) (= tptp.sk11 (tptp.hd tptp.sk9))) :rule and_pos)
% 78.07/78.33  (step t698 (cl (not (and (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) :rule and_pos)
% 78.07/78.33  (step t699 (cl (not (and (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) :rule and_pos)
% 78.07/78.33  (step t700 (cl (not (and (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9))) :rule and_pos)
% 78.07/78.33  (step t701 (cl false (not (and (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)))) (not (and (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)))) (not (and (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)))) (not (and (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)))) (not (and (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)))) (not (and (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)))) (not (and (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)))) (not (and (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)))) (not (and (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)))) (not (and (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)))) (not (and (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9))))) :rule resolution :premises (t689 t690 t691 t692 t693 t694 t695 t696 t697 t698 t699 t700))
% 78.07/78.33  (step t702 (cl (not (and (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)))) (not (and (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)))) (not (and (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)))) (not (and (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)))) (not (and (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)))) (not (and (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)))) (not (and (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)))) (not (and (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)))) (not (and (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)))) (not (and (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)))) (not (and (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)))) false) :rule reordering :premises (t701))
% 78.07/78.33  (step t703 (cl (not (and (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)))) false) :rule contraction :premises (t702))
% 78.07/78.33  (step t704 (cl (=> (and (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9))) false) false) :rule resolution :premises (t688 t703))
% 78.07/78.33  (step t705 (cl (=> (and (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9))) false) (not false)) :rule implies_neg2)
% 78.07/78.33  (step t706 (cl (=> (and (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9))) false) (=> (and (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9))) false)) :rule resolution :premises (t704 t705))
% 78.07/78.33  (step t707 (cl (=> (and (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9))) false)) :rule contraction :premises (t706))
% 78.07/78.33  (step t708 (cl (= (=> (and (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9))) false) (not (and (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)))))) :rule implies_simplify)
% 78.07/78.33  (step t709 (cl (not (=> (and (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9))) false)) (not (and (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9))))) :rule equiv1 :premises (t708))
% 78.07/78.33  (step t710 (cl (not (and (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9))))) :rule resolution :premises (t707 t709))
% 78.07/78.33  (step t711 (cl (= (and (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9))) false)) :rule resolution :premises (t687 t710))
% 78.07/78.33  (step t712 (cl (= (=> (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.hd tptp.sk9))) (and (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)))) (=> (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.hd tptp.sk9))) false))) :rule cong :premises (t683 t711))
% 78.07/78.33  (step t713 (cl (= (=> (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.hd tptp.sk9))) false) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.hd tptp.sk9)))))) :rule all_simplify)
% 78.07/78.33  (step t714 (cl (= (=> (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.hd tptp.sk9))) (and (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.hd tptp.sk9)))))) :rule trans :premises (t712 t713))
% 78.07/78.33  (step t715 (cl (=> (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.hd tptp.sk9))) (and (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)))) (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.hd tptp.sk9)))) :rule implies_neg1)
% 78.07/78.33  (anchor :step t716)
% 78.07/78.33  (assume t716.a0 (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)))
% 78.07/78.33  (assume t716.a1 (not (tptp.lt tptp.sk11 tptp.sk11)))
% 78.07/78.33  (assume t716.a2 (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))))
% 78.07/78.33  (assume t716.a3 (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))
% 78.07/78.33  (assume t716.a4 (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))
% 78.07/78.33  (assume t716.a5 (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))))
% 78.07/78.33  (assume t716.a6 (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))))
% 78.07/78.33  (assume t716.a7 (= tptp.sk6 tptp.sk11))
% 78.07/78.33  (assume t716.a8 (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))
% 78.07/78.33  (assume t716.a9 (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)))
% 78.07/78.33  (assume t716.a10 (= tptp.sk11 (tptp.hd tptp.sk9)))
% 78.07/78.33  (step t716.t1 (cl (and (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9))) (not (not (tptp.lt tptp.sk11 tptp.sk11))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= tptp.sk6 tptp.sk11)) (not (= tptp.sk11 (tptp.hd tptp.sk9))) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)))) :rule and_neg)
% 78.07/78.33  (step t716.t2 (cl (and (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)))) :rule resolution :premises (t716.t1 t716.a1 t716.a2 t716.a0 t716.a6 t716.a5 t716.a4 t716.a7 t716.a10 t716.a3 t716.a8 t716.a9))
% 78.07/78.33  (step t716 (cl (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk11 tptp.sk11))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9))) (not (= tptp.sk11 (tptp.hd tptp.sk9))) (and (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)))) :rule subproof :discharge (t716.a0 t716.a1 t716.a2 t716.a3 t716.a4 t716.a5 t716.a6 t716.a7 t716.a8 t716.a9 t716.a10))
% 78.07/78.33  (step t717 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.hd tptp.sk9)))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) :rule and_pos)
% 78.07/78.33  (step t718 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.hd tptp.sk9)))) (not (tptp.lt tptp.sk11 tptp.sk11))) :rule and_pos)
% 78.07/78.33  (step t719 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.hd tptp.sk9)))) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) :rule and_pos)
% 78.07/78.33  (step t720 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.hd tptp.sk9)))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) :rule and_pos)
% 78.07/78.33  (step t721 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.hd tptp.sk9)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) :rule and_pos)
% 78.07/78.33  (step t722 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.hd tptp.sk9)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) :rule and_pos)
% 78.07/78.33  (step t723 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.hd tptp.sk9)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) :rule and_pos)
% 78.07/78.33  (step t724 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.hd tptp.sk9)))) (= tptp.sk6 tptp.sk11)) :rule and_pos)
% 78.07/78.33  (step t725 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.hd tptp.sk9)))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) :rule and_pos)
% 78.07/78.33  (step t726 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.hd tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9))) :rule and_pos)
% 78.07/78.33  (step t727 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.hd tptp.sk9)))) (= tptp.sk11 (tptp.hd tptp.sk9))) :rule and_pos)
% 78.07/78.33  (step t728 (cl (and (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.hd tptp.sk9)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.hd tptp.sk9)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.hd tptp.sk9)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.hd tptp.sk9)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.hd tptp.sk9)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.hd tptp.sk9)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.hd tptp.sk9)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.hd tptp.sk9)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.hd tptp.sk9)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.hd tptp.sk9)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.hd tptp.sk9))))) :rule resolution :premises (t716 t717 t718 t719 t720 t721 t722 t723 t724 t725 t726 t727))
% 78.07/78.33  (step t729 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.hd tptp.sk9)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.hd tptp.sk9)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.hd tptp.sk9)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.hd tptp.sk9)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.hd tptp.sk9)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.hd tptp.sk9)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.hd tptp.sk9)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.hd tptp.sk9)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.hd tptp.sk9)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.hd tptp.sk9)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.hd tptp.sk9)))) (and (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)))) :rule reordering :premises (t728))
% 78.07/78.33  (step t730 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.hd tptp.sk9)))) (and (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)))) :rule contraction :premises (t729))
% 78.07/78.33  (step t731 (cl (=> (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.hd tptp.sk9))) (and (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)))) (and (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)))) :rule resolution :premises (t715 t730))
% 78.07/78.33  (step t732 (cl (=> (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.hd tptp.sk9))) (and (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)))) (not (and (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9))))) :rule implies_neg2)
% 78.07/78.33  (step t733 (cl (=> (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.hd tptp.sk9))) (and (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)))) (=> (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.hd tptp.sk9))) (and (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9))))) :rule resolution :premises (t731 t732))
% 78.07/78.33  (step t734 (cl (=> (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.hd tptp.sk9))) (and (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9))))) :rule contraction :premises (t733))
% 78.07/78.33  (step t735 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk11 tptp.sk11)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)) (= tptp.sk11 (tptp.hd tptp.sk9))))) :rule resolution :premises (t682 t714 t734))
% 78.07/78.33  (step t736 (cl (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk11 tptp.sk11))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9))) (not (= tptp.sk11 (tptp.hd tptp.sk9)))) :rule not_and :premises (t735))
% 78.07/78.33  (step t737 (cl (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk11 tptp.sk11))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9))) (not (= tptp.sk11 (tptp.hd tptp.sk9)))) (not (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))))) :rule or_neg)
% 78.07/78.33  (step t738 (cl (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk11 tptp.sk11))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9))) (not (= tptp.sk11 (tptp.hd tptp.sk9)))) (not (not (not (tptp.lt tptp.sk11 tptp.sk11))))) :rule or_neg)
% 78.07/78.33  (step t739 (cl (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk11 tptp.sk11))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9))) (not (= tptp.sk11 (tptp.hd tptp.sk9)))) (not (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))))) :rule or_neg)
% 78.07/78.33  (step t740 (cl (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk11 tptp.sk11))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9))) (not (= tptp.sk11 (tptp.hd tptp.sk9)))) (not (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) :rule or_neg)
% 78.07/78.33  (step t741 (cl (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk11 tptp.sk11))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9))) (not (= tptp.sk11 (tptp.hd tptp.sk9)))) (not (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))))) :rule or_neg)
% 78.07/78.33  (step t742 (cl (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk11 tptp.sk11))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9))) (not (= tptp.sk11 (tptp.hd tptp.sk9)))) (not (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))))) :rule or_neg)
% 78.07/78.33  (step t743 (cl (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk11 tptp.sk11))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9))) (not (= tptp.sk11 (tptp.hd tptp.sk9)))) (not (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))))) :rule or_neg)
% 78.07/78.33  (step t744 (cl (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk11 tptp.sk11))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9))) (not (= tptp.sk11 (tptp.hd tptp.sk9)))) (not (not (= tptp.sk6 tptp.sk11)))) :rule or_neg)
% 78.07/78.33  (step t745 (cl (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk11 tptp.sk11))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9))) (not (= tptp.sk11 (tptp.hd tptp.sk9)))) (not (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))))) :rule or_neg)
% 78.07/78.33  (step t746 (cl (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk11 tptp.sk11))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9))) (not (= tptp.sk11 (tptp.hd tptp.sk9)))) (not (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9))))) :rule or_neg)
% 78.07/78.33  (step t747 (cl (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk11 tptp.sk11))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9))) (not (= tptp.sk11 (tptp.hd tptp.sk9)))) (not (not (= tptp.sk11 (tptp.hd tptp.sk9))))) :rule or_neg)
% 78.07/78.33  (step t748 (cl (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk11 tptp.sk11))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9))) (not (= tptp.sk11 (tptp.hd tptp.sk9)))) (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk11 tptp.sk11))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9))) (not (= tptp.sk11 (tptp.hd tptp.sk9)))) (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk11 tptp.sk11))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9))) (not (= tptp.sk11 (tptp.hd tptp.sk9)))) (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk11 tptp.sk11))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9))) (not (= tptp.sk11 (tptp.hd tptp.sk9)))) (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk11 tptp.sk11))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9))) (not (= tptp.sk11 (tptp.hd tptp.sk9)))) (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk11 tptp.sk11))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9))) (not (= tptp.sk11 (tptp.hd tptp.sk9)))) (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk11 tptp.sk11))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9))) (not (= tptp.sk11 (tptp.hd tptp.sk9)))) (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk11 tptp.sk11))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9))) (not (= tptp.sk11 (tptp.hd tptp.sk9)))) (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk11 tptp.sk11))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9))) (not (= tptp.sk11 (tptp.hd tptp.sk9)))) (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk11 tptp.sk11))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9))) (not (= tptp.sk11 (tptp.hd tptp.sk9)))) (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk11 tptp.sk11))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9))) (not (= tptp.sk11 (tptp.hd tptp.sk9))))) :rule resolution :premises (t736 t737 t738 t739 t740 t741 t742 t743 t744 t745 t746 t747))
% 78.07/78.33  (step t749 (cl (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk11 tptp.sk11))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9))) (not (= tptp.sk11 (tptp.hd tptp.sk9))))) :rule contraction :premises (t748))
% 78.07/78.33  (step t750 (cl (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (tptp.lt tptp.sk11 tptp.sk11) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9))) (not (= tptp.sk11 (tptp.hd tptp.sk9))))) :rule resolution :premises (t668 t681 t749))
% 78.07/78.33  (step t751 (cl (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (tptp.lt tptp.sk11 tptp.sk11) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9))) (not (= tptp.sk11 (tptp.hd tptp.sk9)))) :rule or :premises (t750))
% 78.07/78.33  (step t752 (cl (not (or (not (tptp.lt tptp.sk11 tptp.sk11)) (not (tptp.ssItem tptp.sk11)))) (not (tptp.lt tptp.sk11 tptp.sk11)) (not (tptp.ssItem tptp.sk11))) :rule or_pos)
% 78.07/78.33  (step t753 (cl (not (tptp.ssItem tptp.sk11)) (not (tptp.lt tptp.sk11 tptp.sk11)) (not (or (not (tptp.lt tptp.sk11 tptp.sk11)) (not (tptp.ssItem tptp.sk11))))) :rule reordering :premises (t752))
% 78.07/78.33  (step t754 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.lt U U)) (not (tptp.ssItem U)))) (or (not (tptp.lt tptp.sk11 tptp.sk11)) (not (tptp.ssItem tptp.sk11)))) (forall ((U $$unsorted)) (or (not (tptp.lt U U)) (not (tptp.ssItem U))))) :rule implies_neg1)
% 78.07/78.33  (anchor :step t755)
% 78.07/78.33  (assume t755.a0 (forall ((U $$unsorted)) (or (not (tptp.lt U U)) (not (tptp.ssItem U)))))
% 78.07/78.33  (step t755.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.lt U U)) (not (tptp.ssItem U))))) (or (not (tptp.lt tptp.sk11 tptp.sk11)) (not (tptp.ssItem tptp.sk11))))) :rule forall_inst :args ((:= U tptp.sk11)))
% 78.07/78.33  (step t755.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.lt U U)) (not (tptp.ssItem U))))) (or (not (tptp.lt tptp.sk11 tptp.sk11)) (not (tptp.ssItem tptp.sk11)))) :rule or :premises (t755.t1))
% 78.07/78.33  (step t755.t3 (cl (or (not (tptp.lt tptp.sk11 tptp.sk11)) (not (tptp.ssItem tptp.sk11)))) :rule resolution :premises (t755.t2 t755.a0))
% 78.07/78.33  (step t755 (cl (not (forall ((U $$unsorted)) (or (not (tptp.lt U U)) (not (tptp.ssItem U))))) (or (not (tptp.lt tptp.sk11 tptp.sk11)) (not (tptp.ssItem tptp.sk11)))) :rule subproof :discharge (t755.a0))
% 78.07/78.33  (step t756 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.lt U U)) (not (tptp.ssItem U)))) (or (not (tptp.lt tptp.sk11 tptp.sk11)) (not (tptp.ssItem tptp.sk11)))) (or (not (tptp.lt tptp.sk11 tptp.sk11)) (not (tptp.ssItem tptp.sk11)))) :rule resolution :premises (t754 t755))
% 78.07/78.33  (step t757 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.lt U U)) (not (tptp.ssItem U)))) (or (not (tptp.lt tptp.sk11 tptp.sk11)) (not (tptp.ssItem tptp.sk11)))) (not (or (not (tptp.lt tptp.sk11 tptp.sk11)) (not (tptp.ssItem tptp.sk11))))) :rule implies_neg2)
% 78.07/78.33  (step t758 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.lt U U)) (not (tptp.ssItem U)))) (or (not (tptp.lt tptp.sk11 tptp.sk11)) (not (tptp.ssItem tptp.sk11)))) (=> (forall ((U $$unsorted)) (or (not (tptp.lt U U)) (not (tptp.ssItem U)))) (or (not (tptp.lt tptp.sk11 tptp.sk11)) (not (tptp.ssItem tptp.sk11))))) :rule resolution :premises (t756 t757))
% 78.07/78.33  (step t759 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.lt U U)) (not (tptp.ssItem U)))) (or (not (tptp.lt tptp.sk11 tptp.sk11)) (not (tptp.ssItem tptp.sk11))))) :rule contraction :premises (t758))
% 78.07/78.33  (step t760 (cl (not (forall ((U $$unsorted)) (or (not (tptp.lt U U)) (not (tptp.ssItem U))))) (or (not (tptp.lt tptp.sk11 tptp.sk11)) (not (tptp.ssItem tptp.sk11)))) :rule implies :premises (t759))
% 78.07/78.33  (step t761 (cl (or (not (tptp.lt tptp.sk11 tptp.sk11)) (not (tptp.ssItem tptp.sk11)))) :rule resolution :premises (t760 a62))
% 78.07/78.33  (step t762 (cl (not (tptp.lt tptp.sk11 tptp.sk11))) :rule resolution :premises (t753 t205 t761))
% 78.07/78.33  (step t763 (cl (not (or (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssItem tptp.sk6)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)))) (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssItem tptp.sk6)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9))) :rule or_pos)
% 78.07/78.33  (step t764 (cl (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)) (not (or (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssItem tptp.sk6)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9))))) :rule reordering :premises (t763))
% 78.07/78.33  (step t765 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssItem tptp.sk6)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X)))) :rule implies_neg1)
% 78.07/78.33  (anchor :step t766)
% 78.07/78.33  (assume t766.a0 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X))))
% 78.07/78.33  (step t766.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X)))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssItem tptp.sk6)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9))))) :rule forall_inst :args ((:= U (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (:= V tptp.sk6) (:= W tptp.nil) (:= X (tptp.skaf83 tptp.sk9)) (:= Y (tptp.skaf82 tptp.sk9))))
% 78.07/78.33  (step t766.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X)))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssItem tptp.sk6)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)))) :rule or :premises (t766.t1))
% 78.07/78.33  (step t766.t3 (cl (or (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssItem tptp.sk6)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)))) :rule resolution :premises (t766.t2 t766.a0))
% 78.07/78.33  (step t766 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X)))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssItem tptp.sk6)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)))) :rule subproof :discharge (t766.a0))
% 78.07/78.33  (step t767 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssItem tptp.sk6)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssItem tptp.sk6)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)))) :rule resolution :premises (t765 t766))
% 78.07/78.33  (step t768 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssItem tptp.sk6)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)))) (not (or (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssItem tptp.sk6)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9))))) :rule implies_neg2)
% 78.07/78.33  (step t769 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssItem tptp.sk6)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)))) (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssItem tptp.sk6)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9))))) :rule resolution :premises (t767 t768))
% 78.07/78.33  (step t770 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssItem tptp.sk6)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9))))) :rule contraction :premises (t769))
% 78.07/78.33  (step t771 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X)))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssItem tptp.sk6)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk9)))) :rule implies :premises (t770))
% 78.07/78.33  (step t772 (cl (not (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP Z)) (not (tptp.ssList Z)) (tptp.lt V X))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X))))) (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP Z)) (not (tptp.ssList Z)) (tptp.lt V X)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X)))) :rule equiv_pos2)
% 78.07/78.33  (anchor :step t773 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V) (W $$unsorted) (:= W W) (X $$unsorted) (:= X X) (Y $$unsorted) (:= Y Y) (Z $$unsorted) (:= Z Z)))
% 78.07/78.33  (step t773.t1 (cl (= U U)) :rule refl)
% 78.07/78.33  (step t773.t2 (cl (= V V)) :rule refl)
% 78.07/78.33  (step t773.t3 (cl (= W W)) :rule refl)
% 78.07/78.33  (step t773.t4 (cl (= X X)) :rule refl)
% 78.07/78.33  (step t773.t5 (cl (= Y Y)) :rule refl)
% 78.07/78.33  (step t773.t6 (cl (= Z Z)) :rule refl)
% 78.07/78.33  (step t773.t7 (cl (= (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) Z) (= Z (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y))))) :rule all_simplify)
% 78.07/78.33  (step t773.t8 (cl (= (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) Z)) (not (= Z (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))))) :rule cong :premises (t773.t7))
% 78.07/78.33  (step t773.t9 (cl (= (not (tptp.ssList Y)) (not (tptp.ssList Y)))) :rule refl)
% 78.07/78.33  (step t773.t10 (cl (= (not (tptp.ssList W)) (not (tptp.ssList W)))) :rule refl)
% 78.07/78.33  (step t773.t11 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 78.07/78.33  (step t773.t12 (cl (= (not (tptp.ssItem X)) (not (tptp.ssItem X)))) :rule refl)
% 78.07/78.33  (step t773.t13 (cl (= (not (tptp.ssItem V)) (not (tptp.ssItem V)))) :rule refl)
% 78.07/78.33  (step t773.t14 (cl (= (not (tptp.strictorderedP Z)) (not (tptp.strictorderedP Z)))) :rule refl)
% 78.07/78.33  (step t773.t15 (cl (= (not (tptp.ssList Z)) (not (tptp.ssList Z)))) :rule refl)
% 78.07/78.33  (step t773.t16 (cl (= (tptp.lt V X) (tptp.lt V X))) :rule refl)
% 78.07/78.33  (step t773.t17 (cl (= (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP Z)) (not (tptp.ssList Z)) (tptp.lt V X)) (or (not (= Z (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP Z)) (not (tptp.ssList Z)) (tptp.lt V X)))) :rule cong :premises (t773.t8 t773.t9 t773.t10 t773.t11 t773.t12 t773.t13 t773.t14 t773.t15 t773.t16))
% 78.07/78.33  (step t773 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP Z)) (not (tptp.ssList Z)) (tptp.lt V X))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= Z (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP Z)) (not (tptp.ssList Z)) (tptp.lt V X))))) :rule bind)
% 78.07/78.33  (step t774 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= Z (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP Z)) (not (tptp.ssList Z)) (tptp.lt V X))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X))))) :rule all_simplify)
% 78.07/78.33  (anchor :step t775 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V) (W $$unsorted) (:= W W) (X $$unsorted) (:= X X) (Y $$unsorted) (:= Y Y)))
% 78.07/78.33  (step t775.t1 (cl (= U U)) :rule refl)
% 78.07/78.33  (step t775.t2 (cl (= V V)) :rule refl)
% 78.07/78.33  (step t775.t3 (cl (= W W)) :rule refl)
% 78.07/78.33  (step t775.t4 (cl (= X X)) :rule refl)
% 78.07/78.33  (step t775.t5 (cl (= Y Y)) :rule refl)
% 78.07/78.33  (step t775.t6 (cl (= (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y))) true)) :rule all_simplify)
% 78.07/78.33  (step t775.t7 (cl (= (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not true))) :rule cong :premises (t775.t6))
% 78.07/78.33  (step t775.t8 (cl (= (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) false)) :rule trans :premises (t775.t7 t605))
% 78.07/78.33  (step t775.t9 (cl (= (not (tptp.ssList Y)) (not (tptp.ssList Y)))) :rule refl)
% 78.07/78.33  (step t775.t10 (cl (= (not (tptp.ssList W)) (not (tptp.ssList W)))) :rule refl)
% 78.07/78.33  (step t775.t11 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 78.07/78.33  (step t775.t12 (cl (= (not (tptp.ssItem X)) (not (tptp.ssItem X)))) :rule refl)
% 78.07/78.33  (step t775.t13 (cl (= (not (tptp.ssItem V)) (not (tptp.ssItem V)))) :rule refl)
% 78.07/78.33  (step t775.t14 (cl (= (not (tptp.strictorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.strictorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))))) :rule refl)
% 78.07/78.33  (step t775.t15 (cl (= (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))))) :rule refl)
% 78.07/78.33  (step t775.t16 (cl (= (tptp.lt V X) (tptp.lt V X))) :rule refl)
% 78.07/78.33  (step t775.t17 (cl (= (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X)) (or false (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X)))) :rule cong :premises (t775.t8 t775.t9 t775.t10 t775.t11 t775.t12 t775.t13 t775.t14 t775.t15 t775.t16))
% 78.07/78.33  (step t775.t18 (cl (= (or false (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X)))) :rule all_simplify)
% 78.07/78.33  (step t775.t19 (cl (= (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X)))) :rule trans :premises (t775.t17 t775.t18))
% 78.07/78.33  (step t775 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X))))) :rule bind)
% 78.07/78.33  (step t776 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= Z (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP Z)) (not (tptp.ssList Z)) (tptp.lt V X))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X))))) :rule trans :premises (t774 t775))
% 78.07/78.33  (step t777 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP Z)) (not (tptp.ssList Z)) (tptp.lt V X))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X))))) :rule trans :premises (t773 t776))
% 78.07/78.33  (step t778 (cl (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X)))) :rule resolution :premises (t772 t777 a180))
% 78.07/78.33  (step t779 (cl (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.strictorderedP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (tptp.strictorderedP (tptp.cons tptp.sk11 tptp.nil))) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) :rule and_neg)
% 78.07/78.33  (step t780 (cl (=> (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.strictorderedP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.strictorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.strictorderedP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) :rule implies_neg1)
% 78.07/78.33  (anchor :step t781)
% 78.07/78.33  (assume t781.a0 (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)))
% 78.07/78.33  (assume t781.a1 (tptp.strictorderedP (tptp.cons tptp.sk11 tptp.nil)))
% 78.07/78.33  (assume t781.a2 (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))
% 78.07/78.33  (step t781.t1 (cl (=> (and (tptp.strictorderedP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.strictorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (and (tptp.strictorderedP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) :rule implies_neg1)
% 78.07/78.33  (anchor :step t781.t2)
% 78.07/78.33  (assume t781.t2.a0 (tptp.strictorderedP (tptp.cons tptp.sk11 tptp.nil)))
% 78.07/78.33  (assume t781.t2.a1 (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)))
% 78.07/78.33  (assume t781.t2.a2 (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))
% 78.07/78.33  (step t781.t2.t1 (cl (= (= (tptp.strictorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) true) (tptp.strictorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) :rule equiv_simplify)
% 78.07/78.33  (step t781.t2.t2 (cl (not (= (tptp.strictorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) true)) (tptp.strictorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) :rule equiv1 :premises (t781.t2.t1))
% 78.07/78.33  (step t781.t2.t3 (cl (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) :rule refl)
% 78.07/78.33  (step t781.t2.t4 (cl (= (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)) tptp.sk9)) :rule symm :premises (t781.t2.a2))
% 78.07/78.33  (step t781.t2.t5 (cl (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) :rule symm :premises (t781.t2.t4))
% 78.07/78.33  (step t781.t2.t6 (cl (= (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)) tptp.sk9)) :rule symm :premises (t781.t2.t5))
% 78.07/78.33  (step t781.t2.t7 (cl (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) :rule cong :premises (t781.t2.t3 t781.t2.t6))
% 78.07/78.33  (step t781.t2.t8 (cl (= (tptp.strictorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.strictorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) :rule cong :premises (t781.t2.t7))
% 78.07/78.33  (step t781.t2.t9 (cl (= (tptp.cons tptp.sk11 tptp.nil) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) :rule symm :premises (t781.t2.a1))
% 78.07/78.33  (step t781.t2.t10 (cl (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) :rule symm :premises (t781.t2.t9))
% 78.07/78.33  (step t781.t2.t11 (cl (= (tptp.strictorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.strictorderedP (tptp.cons tptp.sk11 tptp.nil)))) :rule cong :premises (t781.t2.t10))
% 78.07/78.33  (step t781.t2.t12 (cl (= (= (tptp.strictorderedP (tptp.cons tptp.sk11 tptp.nil)) true) (tptp.strictorderedP (tptp.cons tptp.sk11 tptp.nil)))) :rule equiv_simplify)
% 78.07/78.33  (step t781.t2.t13 (cl (= (tptp.strictorderedP (tptp.cons tptp.sk11 tptp.nil)) true) (not (tptp.strictorderedP (tptp.cons tptp.sk11 tptp.nil)))) :rule equiv2 :premises (t781.t2.t12))
% 78.07/78.33  (step t781.t2.t14 (cl (= (tptp.strictorderedP (tptp.cons tptp.sk11 tptp.nil)) true)) :rule resolution :premises (t781.t2.t13 t781.t2.a0))
% 78.07/78.33  (step t781.t2.t15 (cl (= (tptp.strictorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) true)) :rule trans :premises (t781.t2.t8 t781.t2.t11 t781.t2.t14))
% 78.07/78.33  (step t781.t2.t16 (cl (tptp.strictorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) :rule resolution :premises (t781.t2.t2 t781.t2.t15))
% 78.07/78.33  (step t781.t2 (cl (not (tptp.strictorderedP (tptp.cons tptp.sk11 tptp.nil))) (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.strictorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) :rule subproof :discharge (t781.t2.a0 t781.t2.a1 t781.t2.a2))
% 78.07/78.33  (step t781.t3 (cl (not (and (tptp.strictorderedP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (tptp.strictorderedP (tptp.cons tptp.sk11 tptp.nil))) :rule and_pos)
% 78.07/78.33  (step t781.t4 (cl (not (and (tptp.strictorderedP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) :rule and_pos)
% 78.07/78.33  (step t781.t5 (cl (not (and (tptp.strictorderedP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) :rule and_pos)
% 78.07/78.33  (step t781.t6 (cl (tptp.strictorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (and (tptp.strictorderedP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (and (tptp.strictorderedP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (and (tptp.strictorderedP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) :rule resolution :premises (t781.t2 t781.t3 t781.t4 t781.t5))
% 78.07/78.33  (step t781.t7 (cl (not (and (tptp.strictorderedP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (and (tptp.strictorderedP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (and (tptp.strictorderedP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (tptp.strictorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) :rule reordering :premises (t781.t6))
% 78.07/78.33  (step t781.t8 (cl (not (and (tptp.strictorderedP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (tptp.strictorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) :rule contraction :premises (t781.t7))
% 78.07/78.33  (step t781.t9 (cl (=> (and (tptp.strictorderedP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.strictorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (tptp.strictorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) :rule resolution :premises (t781.t1 t781.t8))
% 78.07/78.33  (step t781.t10 (cl (=> (and (tptp.strictorderedP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.strictorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) :rule implies_neg2)
% 78.07/78.33  (step t781.t11 (cl (=> (and (tptp.strictorderedP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.strictorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (=> (and (tptp.strictorderedP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.strictorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) :rule resolution :premises (t781.t9 t781.t10))
% 78.07/78.33  (step t781.t12 (cl (=> (and (tptp.strictorderedP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.strictorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) :rule contraction :premises (t781.t11))
% 78.07/78.33  (step t781.t13 (cl (not (and (tptp.strictorderedP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (tptp.strictorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) :rule implies :premises (t781.t12))
% 78.07/78.33  (step t781.t14 (cl (and (tptp.strictorderedP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (tptp.strictorderedP (tptp.cons tptp.sk11 tptp.nil))) (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) :rule and_neg)
% 78.07/78.33  (step t781.t15 (cl (and (tptp.strictorderedP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) :rule resolution :premises (t781.t14 t781.a1 t781.a0 t781.a2))
% 78.07/78.33  (step t781.t16 (cl (tptp.strictorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) :rule resolution :premises (t781.t13 t781.t15))
% 78.07/78.33  (step t781 (cl (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (tptp.strictorderedP (tptp.cons tptp.sk11 tptp.nil))) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.strictorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) :rule subproof :discharge (t781.a0 t781.a1 t781.a2))
% 78.07/78.33  (step t782 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.strictorderedP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) :rule and_pos)
% 78.07/78.33  (step t783 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.strictorderedP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (tptp.strictorderedP (tptp.cons tptp.sk11 tptp.nil))) :rule and_pos)
% 78.07/78.33  (step t784 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.strictorderedP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) :rule and_pos)
% 78.07/78.33  (step t785 (cl (tptp.strictorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.strictorderedP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.strictorderedP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.strictorderedP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) :rule resolution :premises (t781 t782 t783 t784))
% 78.07/78.33  (step t786 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.strictorderedP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.strictorderedP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.strictorderedP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (tptp.strictorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) :rule reordering :premises (t785))
% 78.07/78.33  (step t787 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.strictorderedP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (tptp.strictorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) :rule contraction :premises (t786))
% 78.07/78.33  (step t788 (cl (=> (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.strictorderedP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.strictorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (tptp.strictorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) :rule resolution :premises (t780 t787))
% 78.07/78.33  (step t789 (cl (=> (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.strictorderedP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.strictorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) :rule implies_neg2)
% 78.07/78.33  (step t790 (cl (=> (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.strictorderedP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.strictorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (=> (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.strictorderedP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.strictorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) :rule resolution :premises (t788 t789))
% 78.07/78.33  (step t791 (cl (=> (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.strictorderedP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.strictorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) :rule contraction :premises (t790))
% 78.07/78.33  (step t792 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.strictorderedP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (tptp.strictorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) :rule implies :premises (t791))
% 78.07/78.33  (step t793 (cl (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (tptp.strictorderedP (tptp.cons tptp.sk11 tptp.nil))) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.strictorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) :rule resolution :premises (t779 t792))
% 78.07/78.33  (step t794 (cl (not (or (not (tptp.ssItem tptp.sk11)) (tptp.strictorderedP (tptp.cons tptp.sk11 tptp.nil)))) (not (tptp.ssItem tptp.sk11)) (tptp.strictorderedP (tptp.cons tptp.sk11 tptp.nil))) :rule or_pos)
% 78.07/78.33  (step t795 (cl (not (tptp.ssItem tptp.sk11)) (tptp.strictorderedP (tptp.cons tptp.sk11 tptp.nil)) (not (or (not (tptp.ssItem tptp.sk11)) (tptp.strictorderedP (tptp.cons tptp.sk11 tptp.nil))))) :rule reordering :premises (t794))
% 78.07/78.33  (step t796 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem tptp.sk11)) (tptp.strictorderedP (tptp.cons tptp.sk11 tptp.nil)))) (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U tptp.nil))))) :rule implies_neg1)
% 78.07/78.33  (anchor :step t797)
% 78.07/78.33  (assume t797.a0 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U tptp.nil)))))
% 78.07/78.33  (step t797.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U tptp.nil))))) (or (not (tptp.ssItem tptp.sk11)) (tptp.strictorderedP (tptp.cons tptp.sk11 tptp.nil))))) :rule forall_inst :args ((:= U tptp.sk11)))
% 78.07/78.33  (step t797.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U tptp.nil))))) (or (not (tptp.ssItem tptp.sk11)) (tptp.strictorderedP (tptp.cons tptp.sk11 tptp.nil)))) :rule or :premises (t797.t1))
% 78.07/78.33  (step t797.t3 (cl (or (not (tptp.ssItem tptp.sk11)) (tptp.strictorderedP (tptp.cons tptp.sk11 tptp.nil)))) :rule resolution :premises (t797.t2 t797.a0))
% 78.07/78.33  (step t797 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U tptp.nil))))) (or (not (tptp.ssItem tptp.sk11)) (tptp.strictorderedP (tptp.cons tptp.sk11 tptp.nil)))) :rule subproof :discharge (t797.a0))
% 78.07/78.33  (step t798 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem tptp.sk11)) (tptp.strictorderedP (tptp.cons tptp.sk11 tptp.nil)))) (or (not (tptp.ssItem tptp.sk11)) (tptp.strictorderedP (tptp.cons tptp.sk11 tptp.nil)))) :rule resolution :premises (t796 t797))
% 78.07/78.33  (step t799 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem tptp.sk11)) (tptp.strictorderedP (tptp.cons tptp.sk11 tptp.nil)))) (not (or (not (tptp.ssItem tptp.sk11)) (tptp.strictorderedP (tptp.cons tptp.sk11 tptp.nil))))) :rule implies_neg2)
% 78.07/78.33  (step t800 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem tptp.sk11)) (tptp.strictorderedP (tptp.cons tptp.sk11 tptp.nil)))) (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem tptp.sk11)) (tptp.strictorderedP (tptp.cons tptp.sk11 tptp.nil))))) :rule resolution :premises (t798 t799))
% 78.07/78.33  (step t801 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem tptp.sk11)) (tptp.strictorderedP (tptp.cons tptp.sk11 tptp.nil))))) :rule contraction :premises (t800))
% 78.07/78.33  (step t802 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U tptp.nil))))) (or (not (tptp.ssItem tptp.sk11)) (tptp.strictorderedP (tptp.cons tptp.sk11 tptp.nil)))) :rule implies :premises (t801))
% 78.07/78.33  (step t803 (cl (tptp.ssItem tptp.sk11) (= tptp.nil (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) :rule or :premises (t203))
% 78.07/78.33  (step t804 (cl (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= tptp.sk6 tptp.sk11)) (not (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9))) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= tptp.sk6 tptp.sk11)) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= tptp.sk6 tptp.sk11)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (= tptp.nil (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.nil (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) :rule resolution :premises (t574 t582 t427 a192 a7 t599 t183 t616 t656 t667 t751 t667 t217 t762 t183 t300 t289 t259 t764 t771 t778 t793 t85 t795 t802 a65 t803))
% 78.07/78.33  (step t805 (cl (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= tptp.sk6 tptp.sk11)) (not (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9))) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (= tptp.nil (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) :rule contraction :premises (t804))
% 78.07/78.33  (step t806 (cl (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= tptp.sk6 tptp.sk11)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (or (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9))))) :rule resolution :premises (t805 t87 a195 t177 t180 t89 t154 t157 t135 t142 t145 t557))
% 78.07/78.33  (step t807 (cl (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= tptp.sk6 tptp.sk11)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (or (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9))))) :rule contraction :premises (t806))
% 78.07/78.33  (step t808 (cl (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= tptp.sk6 tptp.sk11)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (or (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))))) :rule resolution :premises (t807 t161 t168))
% 78.07/78.33  (step t809 (cl (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= tptp.sk6 tptp.sk11)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (or (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))))) :rule contraction :premises (t808))
% 78.07/78.33  (step t810 (cl (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= tptp.sk6 tptp.sk11)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (or (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U))))) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))))) :rule resolution :premises (t809 t91 t98))
% 78.07/78.33  (step t811 (cl (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= tptp.sk6 tptp.sk11)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (or (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U))))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))))) :rule contraction :premises (t810))
% 78.07/78.33  (step t812 (cl (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= tptp.sk6 tptp.sk11)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (or (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U))))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V))))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U))))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U))))) (not (tptp.ssList tptp.nil)) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))))) :rule resolution :premises (t811 t102 a194 t131 t104 a193 t122 t106 a191 t113))
% 78.07/78.33  (step t813 (cl (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= tptp.sk6 tptp.sk11)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (or (not (tptp.ssList (tptp.skaf82 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssItem (tptp.skaf83 tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (tptp.memberP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9)))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U))))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))))) :rule contraction :premises (t812))
% 78.07/78.33  (step t814 (cl (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) :rule and_neg)
% 78.07/78.33  (step t815 (cl (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) :rule implies_neg1)
% 78.07/78.33  (anchor :step t816)
% 78.07/78.33  (assume t816.a0 (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))
% 78.07/78.33  (assume t816.a1 (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))
% 78.07/78.33  (step t816.t1 (cl (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) :rule implies_neg1)
% 78.07/78.33  (anchor :step t816.t2)
% 78.07/78.33  (assume t816.t2.a0 (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))
% 78.07/78.33  (assume t816.t2.a1 (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))
% 78.07/78.33  (step t816.t2.t1 (cl (= (= (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) true) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) :rule equiv_simplify)
% 78.07/78.33  (step t816.t2.t2 (cl (not (= (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) true)) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) :rule equiv1 :premises (t816.t2.t1))
% 78.07/78.33  (step t816.t2.t3 (cl (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) :rule refl)
% 78.07/78.33  (step t816.t2.t4 (cl (= (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)) tptp.sk9)) :rule symm :premises (t816.t2.a1))
% 78.07/78.33  (step t816.t2.t5 (cl (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) :rule symm :premises (t816.t2.t4))
% 78.07/78.33  (step t816.t2.t6 (cl (= (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)) tptp.sk9)) :rule symm :premises (t816.t2.t5))
% 78.07/78.33  (step t816.t2.t7 (cl (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) :rule cong :premises (t816.t2.t3 t816.t2.t6))
% 78.07/78.33  (step t816.t2.t8 (cl (= (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) :rule cong :premises (t816.t2.t7))
% 78.07/78.33  (step t816.t2.t9 (cl (= (= (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) true) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) :rule equiv_simplify)
% 78.07/78.33  (step t816.t2.t10 (cl (= (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) true) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) :rule equiv2 :premises (t816.t2.t9))
% 78.07/78.33  (step t816.t2.t11 (cl (= (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) true)) :rule resolution :premises (t816.t2.t10 t816.t2.a0))
% 78.07/78.33  (step t816.t2.t12 (cl (= (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) true)) :rule trans :premises (t816.t2.t8 t816.t2.t11))
% 78.07/78.33  (step t816.t2.t13 (cl (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) :rule resolution :premises (t816.t2.t2 t816.t2.t12))
% 78.07/78.33  (step t816.t2 (cl (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) :rule subproof :discharge (t816.t2.a0 t816.t2.a1))
% 78.07/78.33  (step t816.t3 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) :rule and_pos)
% 78.07/78.33  (step t816.t4 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) :rule and_pos)
% 78.07/78.33  (step t816.t5 (cl (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) :rule resolution :premises (t816.t2 t816.t3 t816.t4))
% 78.07/78.33  (step t816.t6 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) :rule reordering :premises (t816.t5))
% 78.07/78.33  (step t816.t7 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) :rule contraction :premises (t816.t6))
% 78.07/78.33  (step t816.t8 (cl (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) :rule resolution :premises (t816.t1 t816.t7))
% 78.07/78.33  (step t816.t9 (cl (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) :rule implies_neg2)
% 78.07/78.33  (step t816.t10 (cl (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) :rule resolution :premises (t816.t8 t816.t9))
% 78.07/78.33  (step t816.t11 (cl (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) :rule contraction :premises (t816.t10))
% 78.07/78.33  (step t816.t12 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) :rule implies :premises (t816.t11))
% 78.07/78.33  (step t816.t13 (cl (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) :rule and_neg)
% 78.07/78.33  (step t816.t14 (cl (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) :rule resolution :premises (t816.t13 t816.a0 t816.a1))
% 78.07/78.33  (step t816.t15 (cl (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) :rule resolution :premises (t816.t12 t816.t14))
% 78.07/78.33  (step t816 (cl (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) :rule subproof :discharge (t816.a0 t816.a1))
% 78.07/78.33  (step t817 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) :rule and_pos)
% 78.07/78.33  (step t818 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) :rule and_pos)
% 78.07/78.33  (step t819 (cl (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) :rule resolution :premises (t816 t817 t818))
% 78.07/78.33  (step t820 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) :rule reordering :premises (t819))
% 78.07/78.33  (step t821 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) :rule contraction :premises (t820))
% 78.07/78.33  (step t822 (cl (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) :rule resolution :premises (t815 t821))
% 78.07/78.33  (step t823 (cl (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) :rule implies_neg2)
% 78.07/78.33  (step t824 (cl (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) :rule resolution :premises (t822 t823))
% 78.07/78.33  (step t825 (cl (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) :rule contraction :premises (t824))
% 78.07/78.33  (step t826 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) :rule implies :premises (t825))
% 78.07/78.33  (step t827 (cl (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) :rule resolution :premises (t814 t826))
% 78.07/78.33  (step t828 (cl (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= tptp.sk6 tptp.sk11)) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) :rule resolution :premises (t813 t451 a12 t564 t571 t426 a11 t827 t526 a192 a84 a7 a85))
% 78.07/78.33  (step t829 (cl (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= tptp.sk6 tptp.sk11))) :rule contraction :premises (t828))
% 78.07/78.33  (step t830 (cl (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= tptp.sk6 tptp.sk11)) (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9))) :rule reordering :premises (t829))
% 78.07/78.33  (step t831 (cl (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) :rule resolution :premises (t395 t406 t408 t419 t427 t205 a7 t429 t444 t452 t427 t133 a192 t467 t183 t484 t495 t506 t520 t526 t544 t495 t555 t183 t506 t520 t557 t427 t572 t452 t170 t830 t827 t526))
% 78.07/78.33  (step t832 (cl (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) :rule contraction :premises (t831))
% 78.07/78.33  (step t833 (cl (not (= (or (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9)))) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)))) (or (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.memberP tptp.nil (tptp.hd tptp.sk9)) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)))))) (not (or (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9)))) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9))))) (or (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.memberP tptp.nil (tptp.hd tptp.sk9)) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9))))) :rule equiv_pos2)
% 78.07/78.33  (step t834 (cl (= (= (= (not (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9)))) (tptp.memberP tptp.nil (tptp.hd tptp.sk9))) true) (= (not (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9)))) (tptp.memberP tptp.nil (tptp.hd tptp.sk9))))) :rule equiv_simplify)
% 78.07/78.33  (step t835 (cl (not (= (= (not (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9)))) (tptp.memberP tptp.nil (tptp.hd tptp.sk9))) true)) (= (not (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9)))) (tptp.memberP tptp.nil (tptp.hd tptp.sk9)))) :rule equiv1 :premises (t834))
% 78.07/78.33  (step t836 (cl (= (= (not (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9)))) (tptp.memberP tptp.nil (tptp.hd tptp.sk9))) (= (tptp.memberP tptp.nil (tptp.hd tptp.sk9)) (not (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9))))))) :rule all_simplify)
% 78.07/78.33  (step t837 (cl (= (tptp.memberP tptp.nil (tptp.hd tptp.sk9)) (tptp.memberP tptp.nil (tptp.hd tptp.sk9)))) :rule refl)
% 78.07/78.33  (step t838 (cl (= (not (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9)))) (tptp.memberP tptp.nil (tptp.hd tptp.sk9)))) :rule all_simplify)
% 78.07/78.33  (step t839 (cl (= (= (tptp.memberP tptp.nil (tptp.hd tptp.sk9)) (not (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9))))) (= (tptp.memberP tptp.nil (tptp.hd tptp.sk9)) (tptp.memberP tptp.nil (tptp.hd tptp.sk9))))) :rule cong :premises (t837 t838))
% 78.07/78.33  (step t840 (cl (= (= (tptp.memberP tptp.nil (tptp.hd tptp.sk9)) (tptp.memberP tptp.nil (tptp.hd tptp.sk9))) true)) :rule all_simplify)
% 78.07/78.33  (step t841 (cl (= (= (tptp.memberP tptp.nil (tptp.hd tptp.sk9)) (not (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9))))) true)) :rule trans :premises (t839 t840))
% 78.07/78.33  (step t842 (cl (= (= (not (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9)))) (tptp.memberP tptp.nil (tptp.hd tptp.sk9))) true)) :rule trans :premises (t836 t841))
% 78.07/78.33  (step t843 (cl (= (not (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9)))) (tptp.memberP tptp.nil (tptp.hd tptp.sk9)))) :rule resolution :premises (t835 t842))
% 78.07/78.33  (step t844 (cl (= (not (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9))) (not (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9))))) :rule refl)
% 78.07/78.33  (step t845 (cl (= (or (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9)))) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)))) (or (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.memberP tptp.nil (tptp.hd tptp.sk9)) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)))))) :rule cong :premises (t618 t843 t619 t844))
% 78.07/78.33  (step t846 (cl (and (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9)))) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) :rule and_neg)
% 78.07/78.33  (step t847 (cl (=> (and (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)))) (and (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) :rule implies_neg1)
% 78.07/78.33  (anchor :step t848)
% 78.07/78.33  (assume t848.a0 (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))
% 78.07/78.33  (assume t848.a1 (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9))))
% 78.07/78.33  (assume t848.a2 (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))
% 78.07/78.33  (step t848.t1 (cl (=> (and (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)))) (and (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) :rule implies_neg1)
% 78.07/78.33  (anchor :step t848.t2)
% 78.07/78.33  (assume t848.t2.a0 (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9))))
% 78.07/78.33  (assume t848.t2.a1 (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))
% 78.07/78.33  (assume t848.t2.a2 (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))
% 78.07/78.33  (step t848.t2.t1 (cl (= (= (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)) false) (not (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9))))) :rule equiv_simplify)
% 78.07/78.33  (step t848.t2.t2 (cl (not (= (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)) false)) (not (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)))) :rule equiv1 :premises (t848.t2.t1))
% 78.07/78.33  (step t848.t2.t3 (cl (= tptp.nil tptp.nil)) :rule refl)
% 78.07/78.33  (step t848.t2.t4 (cl (= (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.skaf83 tptp.sk9))) :rule symm :premises (t848.t2.a2))
% 78.07/78.33  (step t848.t2.t5 (cl (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) :rule symm :premises (t848.t2.t4))
% 78.07/78.33  (step t848.t2.t6 (cl (= (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)) tptp.sk9)) :rule symm :premises (t848.t2.a1))
% 78.07/78.33  (step t848.t2.t7 (cl (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) :rule symm :premises (t848.t2.t6))
% 78.07/78.33  (step t848.t2.t8 (cl (= (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)) tptp.sk9)) :rule symm :premises (t848.t2.t7))
% 78.07/78.33  (step t848.t2.t9 (cl (= (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (tptp.hd tptp.sk9))) :rule cong :premises (t848.t2.t8))
% 78.07/78.33  (step t848.t2.t10 (cl (= (tptp.skaf83 tptp.sk9) (tptp.hd tptp.sk9))) :rule trans :premises (t848.t2.t5 t848.t2.t9))
% 78.07/78.33  (step t848.t2.t11 (cl (= (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)) (tptp.memberP tptp.nil (tptp.hd tptp.sk9)))) :rule cong :premises (t848.t2.t3 t848.t2.t10))
% 78.07/78.33  (step t848.t2.t12 (cl (= (= (tptp.memberP tptp.nil (tptp.hd tptp.sk9)) false) (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9))))) :rule equiv_simplify)
% 78.07/78.33  (step t848.t2.t13 (cl (= (tptp.memberP tptp.nil (tptp.hd tptp.sk9)) false) (not (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9))))) :rule equiv2 :premises (t848.t2.t12))
% 78.07/78.33  (step t848.t2.t14 (cl (not (not (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9))))) (tptp.memberP tptp.nil (tptp.hd tptp.sk9))) :rule not_not)
% 78.07/78.33  (step t848.t2.t15 (cl (= (tptp.memberP tptp.nil (tptp.hd tptp.sk9)) false) (tptp.memberP tptp.nil (tptp.hd tptp.sk9))) :rule resolution :premises (t848.t2.t13 t848.t2.t14))
% 78.07/78.33  (step t848.t2.t16 (cl (= (tptp.memberP tptp.nil (tptp.hd tptp.sk9)) false)) :rule resolution :premises (t848.t2.t15 t848.t2.a0))
% 78.07/78.33  (step t848.t2.t17 (cl (= (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)) false)) :rule trans :premises (t848.t2.t11 t848.t2.t16))
% 78.07/78.33  (step t848.t2.t18 (cl (not (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)))) :rule resolution :premises (t848.t2.t2 t848.t2.t17))
% 78.07/78.33  (step t848.t2 (cl (not (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9)))) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)))) :rule subproof :discharge (t848.t2.a0 t848.t2.a1 t848.t2.a2))
% 78.07/78.33  (step t848.t3 (cl (not (and (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9)))) :rule and_pos)
% 78.07/78.33  (step t848.t4 (cl (not (and (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) :rule and_pos)
% 78.07/78.33  (step t848.t5 (cl (not (and (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) :rule and_pos)
% 78.07/78.33  (step t848.t6 (cl (not (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9))) (not (and (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) (not (and (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) (not (and (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))))) :rule resolution :premises (t848.t2 t848.t3 t848.t4 t848.t5))
% 78.07/78.33  (step t848.t7 (cl (not (and (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) (not (and (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) (not (and (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) (not (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)))) :rule reordering :premises (t848.t6))
% 78.07/78.33  (step t848.t8 (cl (not (and (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) (not (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)))) :rule contraction :premises (t848.t7))
% 78.07/78.33  (step t848.t9 (cl (=> (and (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)))) (not (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)))) :rule resolution :premises (t848.t1 t848.t8))
% 78.07/78.33  (step t848.t10 (cl (=> (and (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)))) (not (not (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9))))) :rule implies_neg2)
% 78.07/78.33  (step t848.t11 (cl (=> (and (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)))) (=> (and (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9))))) :rule resolution :premises (t848.t9 t848.t10))
% 78.07/78.33  (step t848.t12 (cl (=> (and (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9))))) :rule contraction :premises (t848.t11))
% 78.07/78.33  (step t848.t13 (cl (not (and (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) (not (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)))) :rule implies :premises (t848.t12))
% 78.07/78.33  (step t848.t14 (cl (and (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9)))) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) :rule and_neg)
% 78.07/78.33  (step t848.t15 (cl (and (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) :rule resolution :premises (t848.t14 t848.a1 t848.a0 t848.a2))
% 78.07/78.33  (step t848.t16 (cl (not (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)))) :rule resolution :premises (t848.t13 t848.t15))
% 78.07/78.33  (step t848 (cl (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9)))) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)))) :rule subproof :discharge (t848.a0 t848.a1 t848.a2))
% 78.07/78.33  (step t849 (cl (not (and (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) :rule and_pos)
% 78.07/78.33  (step t850 (cl (not (and (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9)))) :rule and_pos)
% 78.07/78.33  (step t851 (cl (not (and (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) :rule and_pos)
% 78.07/78.33  (step t852 (cl (not (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9))) (not (and (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) (not (and (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) (not (and (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))))) :rule resolution :premises (t848 t849 t850 t851))
% 78.07/78.33  (step t853 (cl (not (and (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) (not (and (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) (not (and (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) (not (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)))) :rule reordering :premises (t852))
% 78.07/78.33  (step t854 (cl (not (and (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) (not (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)))) :rule contraction :premises (t853))
% 78.07/78.33  (step t855 (cl (=> (and (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)))) (not (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)))) :rule resolution :premises (t847 t854))
% 78.07/78.33  (step t856 (cl (=> (and (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)))) (not (not (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9))))) :rule implies_neg2)
% 78.07/78.33  (step t857 (cl (=> (and (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)))) (=> (and (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9))))) :rule resolution :premises (t855 t856))
% 78.07/78.33  (step t858 (cl (=> (and (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9))))) :rule contraction :premises (t857))
% 78.07/78.33  (step t859 (cl (not (and (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9))) (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) (not (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)))) :rule implies :premises (t858))
% 78.07/78.33  (step t860 (cl (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9)))) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)))) :rule resolution :premises (t846 t859))
% 78.07/78.33  (step t861 (cl (or (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9)))) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)))) (not (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))))) :rule or_neg)
% 78.07/78.33  (step t862 (cl (or (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9)))) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)))) (not (not (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9)))))) :rule or_neg)
% 78.07/78.33  (step t863 (cl (or (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9)))) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)))) (not (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))))) :rule or_neg)
% 78.07/78.33  (step t864 (cl (or (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9)))) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)))) (not (not (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9))))) :rule or_neg)
% 78.07/78.33  (step t865 (cl (or (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9)))) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)))) (or (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9)))) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)))) (or (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9)))) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)))) (or (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9)))) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9))))) :rule resolution :premises (t860 t861 t862 t863 t864))
% 78.07/78.33  (step t866 (cl (or (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9)))) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9))))) :rule contraction :premises (t865))
% 78.07/78.33  (step t867 (cl (or (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.memberP tptp.nil (tptp.hd tptp.sk9)) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9))))) :rule resolution :premises (t833 t845 t866))
% 78.07/78.33  (step t868 (cl (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.memberP tptp.nil (tptp.hd tptp.sk9)) (not (= (tptp.skaf83 tptp.sk9) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))))) (not (tptp.memberP tptp.nil (tptp.skaf83 tptp.sk9)))) :rule or :premises (t867))
% 78.07/78.33  (step t869 (cl (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.memberP tptp.nil (tptp.hd tptp.sk9))) :rule resolution :premises (t832 t868 t667))
% 78.07/78.33  (step t870 (cl (not (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9)))) (tptp.memberP tptp.nil (tptp.hd tptp.sk9))) :rule contraction :premises (t869))
% 78.07/78.33  (step t871 (cl (not (or (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9))) (not (tptp.ssItem (tptp.hd tptp.sk9))))) (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9))) (not (tptp.ssItem (tptp.hd tptp.sk9)))) :rule or_pos)
% 78.07/78.33  (step t872 (cl (not (tptp.ssItem (tptp.hd tptp.sk9))) (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9))) (not (or (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9))) (not (tptp.ssItem (tptp.hd tptp.sk9)))))) :rule reordering :premises (t871))
% 78.07/78.33  (step t873 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U)))) (or (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9))) (not (tptp.ssItem (tptp.hd tptp.sk9))))) (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U))))) :rule implies_neg1)
% 78.07/78.33  (anchor :step t874)
% 78.07/78.33  (assume t874.a0 (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U)))))
% 78.07/78.33  (step t874.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U))))) (or (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9))) (not (tptp.ssItem (tptp.hd tptp.sk9)))))) :rule forall_inst :args ((:= U (tptp.hd tptp.sk9))))
% 78.07/78.33  (step t874.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U))))) (or (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9))) (not (tptp.ssItem (tptp.hd tptp.sk9))))) :rule or :premises (t874.t1))
% 78.07/78.33  (step t874.t3 (cl (or (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9))) (not (tptp.ssItem (tptp.hd tptp.sk9))))) :rule resolution :premises (t874.t2 t874.a0))
% 78.07/78.33  (step t874 (cl (not (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U))))) (or (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9))) (not (tptp.ssItem (tptp.hd tptp.sk9))))) :rule subproof :discharge (t874.a0))
% 78.07/78.33  (step t875 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U)))) (or (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9))) (not (tptp.ssItem (tptp.hd tptp.sk9))))) (or (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9))) (not (tptp.ssItem (tptp.hd tptp.sk9))))) :rule resolution :premises (t873 t874))
% 78.07/78.33  (step t876 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U)))) (or (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9))) (not (tptp.ssItem (tptp.hd tptp.sk9))))) (not (or (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9))) (not (tptp.ssItem (tptp.hd tptp.sk9)))))) :rule implies_neg2)
% 78.07/78.33  (step t877 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U)))) (or (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9))) (not (tptp.ssItem (tptp.hd tptp.sk9))))) (=> (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U)))) (or (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9))) (not (tptp.ssItem (tptp.hd tptp.sk9)))))) :rule resolution :premises (t875 t876))
% 78.07/78.33  (step t878 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U)))) (or (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9))) (not (tptp.ssItem (tptp.hd tptp.sk9)))))) :rule contraction :premises (t877))
% 78.07/78.33  (step t879 (cl (not (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U))))) (or (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9))) (not (tptp.ssItem (tptp.hd tptp.sk9))))) :rule implies :premises (t878))
% 78.07/78.33  (step t880 (cl (or (not (tptp.memberP tptp.nil (tptp.hd tptp.sk9))) (not (tptp.ssItem (tptp.hd tptp.sk9))))) :rule resolution :premises (t879 a70))
% 78.07/78.33  (step t881 (cl (not (or (not (tptp.ssList tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= tptp.nil tptp.sk9))) (not (tptp.ssList tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= tptp.nil tptp.sk9)) :rule or_pos)
% 78.07/78.33  (step t882 (cl (not (tptp.ssList tptp.sk9)) (= tptp.nil tptp.sk9) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (not (or (not (tptp.ssList tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= tptp.nil tptp.sk9)))) :rule reordering :premises (t881))
% 78.07/78.33  (step t883 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= tptp.nil tptp.sk9))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) :rule implies_neg1)
% 78.07/78.33  (anchor :step t884)
% 78.07/78.33  (assume t884.a0 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))))
% 78.07/78.33  (step t884.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) (or (not (tptp.ssList tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= tptp.nil tptp.sk9)))) :rule forall_inst :args ((:= U tptp.sk9)))
% 78.07/78.33  (step t884.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) (or (not (tptp.ssList tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= tptp.nil tptp.sk9))) :rule or :premises (t884.t1))
% 78.07/78.33  (step t884.t3 (cl (or (not (tptp.ssList tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= tptp.nil tptp.sk9))) :rule resolution :premises (t884.t2 t884.a0))
% 78.07/78.33  (step t884 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) (or (not (tptp.ssList tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= tptp.nil tptp.sk9))) :rule subproof :discharge (t884.a0))
% 78.07/78.33  (step t885 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= tptp.nil tptp.sk9))) (or (not (tptp.ssList tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= tptp.nil tptp.sk9))) :rule resolution :premises (t883 t884))
% 78.07/78.33  (step t886 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= tptp.nil tptp.sk9))) (not (or (not (tptp.ssList tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= tptp.nil tptp.sk9)))) :rule implies_neg2)
% 78.07/78.33  (step t887 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= tptp.nil tptp.sk9))) (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= tptp.nil tptp.sk9)))) :rule resolution :premises (t885 t886))
% 78.07/78.33  (step t888 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= tptp.nil tptp.sk9)))) :rule contraction :premises (t887))
% 78.07/78.33  (step t889 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) (or (not (tptp.ssList tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= tptp.nil tptp.sk9))) :rule implies :premises (t888))
% 78.07/78.33  (step t890 (cl (not (= (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U)) U) (= tptp.nil U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))))) (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U)) U) (= tptp.nil U)))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) :rule equiv_pos2)
% 78.07/78.33  (anchor :step t891 :args ((U $$unsorted) (:= U U)))
% 78.07/78.33  (step t891.t1 (cl (= U U)) :rule refl)
% 78.07/78.33  (step t891.t2 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 78.07/78.33  (step t891.t3 (cl (= (= (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U)) U) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))))) :rule all_simplify)
% 78.07/78.33  (step t891.t4 (cl (= (= tptp.nil U) (= tptp.nil U))) :rule refl)
% 78.07/78.33  (step t891.t5 (cl (= (or (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U)) U) (= tptp.nil U)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) :rule cong :premises (t891.t2 t891.t3 t891.t4))
% 78.07/78.33  (step t891 (cl (= (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U)) U) (= tptp.nil U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))))) :rule bind)
% 78.07/78.33  (step t892 (cl (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) :rule resolution :premises (t890 t891 a108))
% 78.07/78.33  (step t893 (cl (or (not (tptp.ssList tptp.sk9)) (= tptp.sk9 (tptp.cons (tptp.skaf83 tptp.sk9) (tptp.skaf82 tptp.sk9))) (= tptp.nil tptp.sk9))) :rule resolution :premises (t889 t892))
% 78.07/78.33  (step t894 (cl (not (or (not (tptp.ssList tptp.sk9)) (tptp.ssItem (tptp.hd tptp.sk9)) (= tptp.nil tptp.sk9))) (not (tptp.ssList tptp.sk9)) (tptp.ssItem (tptp.hd tptp.sk9)) (= tptp.nil tptp.sk9)) :rule or_pos)
% 78.07/78.33  (step t895 (cl (not (tptp.ssList tptp.sk9)) (tptp.ssItem (tptp.hd tptp.sk9)) (= tptp.nil tptp.sk9) (not (or (not (tptp.ssList tptp.sk9)) (tptp.ssItem (tptp.hd tptp.sk9)) (= tptp.nil tptp.sk9)))) :rule reordering :premises (t894))
% 78.07/78.33  (step t896 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk9)) (tptp.ssItem (tptp.hd tptp.sk9)) (= tptp.nil tptp.sk9))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U)))) :rule implies_neg1)
% 78.07/78.33  (anchor :step t897)
% 78.07/78.33  (assume t897.a0 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))))
% 78.07/78.33  (step t897.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U)))) (or (not (tptp.ssList tptp.sk9)) (tptp.ssItem (tptp.hd tptp.sk9)) (= tptp.nil tptp.sk9)))) :rule forall_inst :args ((:= U tptp.sk9)))
% 78.07/78.33  (step t897.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U)))) (or (not (tptp.ssList tptp.sk9)) (tptp.ssItem (tptp.hd tptp.sk9)) (= tptp.nil tptp.sk9))) :rule or :premises (t897.t1))
% 78.07/78.33  (step t897.t3 (cl (or (not (tptp.ssList tptp.sk9)) (tptp.ssItem (tptp.hd tptp.sk9)) (= tptp.nil tptp.sk9))) :rule resolution :premises (t897.t2 t897.a0))
% 78.07/78.33  (step t897 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U)))) (or (not (tptp.ssList tptp.sk9)) (tptp.ssItem (tptp.hd tptp.sk9)) (= tptp.nil tptp.sk9))) :rule subproof :discharge (t897.a0))
% 78.07/78.33  (step t898 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk9)) (tptp.ssItem (tptp.hd tptp.sk9)) (= tptp.nil tptp.sk9))) (or (not (tptp.ssList tptp.sk9)) (tptp.ssItem (tptp.hd tptp.sk9)) (= tptp.nil tptp.sk9))) :rule resolution :premises (t896 t897))
% 78.07/78.33  (step t899 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk9)) (tptp.ssItem (tptp.hd tptp.sk9)) (= tptp.nil tptp.sk9))) (not (or (not (tptp.ssList tptp.sk9)) (tptp.ssItem (tptp.hd tptp.sk9)) (= tptp.nil tptp.sk9)))) :rule implies_neg2)
% 78.07/78.33  (step t900 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk9)) (tptp.ssItem (tptp.hd tptp.sk9)) (= tptp.nil tptp.sk9))) (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk9)) (tptp.ssItem (tptp.hd tptp.sk9)) (= tptp.nil tptp.sk9)))) :rule resolution :premises (t898 t899))
% 78.07/78.33  (step t901 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk9)) (tptp.ssItem (tptp.hd tptp.sk9)) (= tptp.nil tptp.sk9)))) :rule contraction :premises (t900))
% 78.07/78.33  (step t902 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U)))) (or (not (tptp.ssList tptp.sk9)) (tptp.ssItem (tptp.hd tptp.sk9)) (= tptp.nil tptp.sk9))) :rule implies :premises (t901))
% 78.07/78.33  (step t903 (cl (or (not (tptp.ssList tptp.sk9)) (tptp.ssItem (tptp.hd tptp.sk9)) (= tptp.nil tptp.sk9))) :rule resolution :premises (t902 a75))
% 78.07/78.33  (step t904 (cl (= tptp.nil tptp.sk9) (= tptp.nil tptp.sk9)) :rule resolution :premises (t870 t872 t880 t882 t893 a195 t895 t903 a195))
% 78.07/78.33  (step t905 (cl (= tptp.nil tptp.sk9)) :rule contraction :premises (t904))
% 78.07/78.33  (step t906 (cl (not (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) :rule or_pos)
% 78.07/78.33  (step t907 (cl (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))))) :rule reordering :premises (t906))
% 78.07/78.33  (step t908 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U))))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U)))))) :rule implies_neg1)
% 78.07/78.33  (anchor :step t909)
% 78.07/78.33  (assume t909.a0 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U))))))
% 78.07/78.33  (step t909.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U)))))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))))) :rule forall_inst :args ((:= U (tptp.cons tptp.sk6 tptp.nil)) (:= V tptp.sk8) (:= W (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))
% 78.07/78.33  (step t909.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U)))))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) :rule or :premises (t909.t1))
% 78.07/78.33  (step t909.t3 (cl (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) :rule resolution :premises (t909.t2 t909.a0))
% 78.07/78.33  (step t909 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U)))))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) :rule subproof :discharge (t909.a0))
% 78.07/78.33  (step t910 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U))))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) :rule resolution :premises (t908 t909))
% 78.07/78.33  (step t911 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U))))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) (not (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))))) :rule implies_neg2)
% 78.07/78.33  (step t912 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U))))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U))))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))))) :rule resolution :premises (t910 t911))
% 78.07/78.33  (step t913 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U))))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))))) :rule contraction :premises (t912))
% 78.07/78.33  (step t914 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U)))))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) :rule implies :premises (t913))
% 78.07/78.33  (step t915 (cl (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) :rule resolution :premises (t914 a148))
% 78.07/78.33  (step t916 (cl (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t907 a194 t124 t100 t915))
% 78.07/78.33  (step t917 (cl (not (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6)) :rule or_pos)
% 78.07/78.33  (step t918 (cl (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6) (not (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6)))) :rule reordering :premises (t917))
% 78.07/78.33  (step t919 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V)))) :rule implies_neg1)
% 78.07/78.33  (anchor :step t920)
% 78.07/78.33  (assume t920.a0 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V))))
% 78.07/78.33  (step t920.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V)))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6)))) :rule forall_inst :args ((:= U (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (:= V tptp.sk6) (:= W tptp.nil)))
% 78.07/78.33  (step t920.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V)))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6))) :rule or :premises (t920.t1))
% 78.07/78.33  (step t920.t3 (cl (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6))) :rule resolution :premises (t920.t2 t920.a0))
% 78.07/78.33  (step t920 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V)))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6))) :rule subproof :discharge (t920.a0))
% 78.07/78.33  (step t921 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6))) :rule resolution :premises (t919 t920))
% 78.07/78.33  (step t922 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6))) (not (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6)))) :rule implies_neg2)
% 78.07/78.33  (step t923 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6))) (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6)))) :rule resolution :premises (t921 t922))
% 78.07/78.33  (step t924 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6)))) :rule contraction :premises (t923))
% 78.07/78.33  (step t925 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V)))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6))) :rule implies :premises (t924))
% 78.07/78.33  (step t926 (cl (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6))) :rule resolution :premises (t925 t571))
% 78.07/78.33  (step t927 (cl (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6)) :rule resolution :premises (t918 a7 a192 t133 t170 t926))
% 78.07/78.33  (step t928 (cl (not (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) :rule or_pos)
% 78.07/78.33  (step t929 (cl (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (not (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))))) :rule reordering :premises (t928))
% 78.07/78.33  (step t930 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))) (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil))))) :rule implies_neg1)
% 78.07/78.33  (anchor :step t931)
% 78.07/78.33  (assume t931.a0 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))))
% 78.07/78.33  (step t931.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil))))) (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))))) :rule forall_inst :args ((:= U (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))))
% 78.07/78.33  (step t931.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil))))) (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) :rule or :premises (t931.t1))
% 78.07/78.33  (step t931.t3 (cl (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) :rule resolution :premises (t931.t2 t931.a0))
% 78.07/78.33  (step t931 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil))))) (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) :rule subproof :discharge (t931.a0))
% 78.07/78.33  (step t932 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))) (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) :rule resolution :premises (t930 t931))
% 78.07/78.33  (step t933 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))) (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) (not (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))))) :rule implies_neg2)
% 78.07/78.33  (step t934 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))) (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))) (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))))) :rule resolution :premises (t932 t933))
% 78.07/78.33  (step t935 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))) (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))))) :rule contraction :premises (t934))
% 78.07/78.33  (step t936 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil))))) (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) :rule implies :premises (t935))
% 78.07/78.33  (step t937 (cl (not (= (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app U tptp.nil) U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))))) (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app U tptp.nil) U)))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil))))) :rule equiv_pos2)
% 78.07/78.33  (anchor :step t938 :args ((U $$unsorted) (:= U U)))
% 78.07/78.33  (step t938.t1 (cl (= U U)) :rule refl)
% 78.07/78.33  (step t938.t2 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 78.07/78.33  (step t938.t3 (cl (= (= (tptp.app U tptp.nil) U) (= U (tptp.app U tptp.nil)))) :rule all_simplify)
% 78.07/78.33  (step t938.t4 (cl (= (or (not (tptp.ssList U)) (= (tptp.app U tptp.nil) U)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil))))) :rule cong :premises (t938.t2 t938.t3))
% 78.07/78.33  (step t938 (cl (= (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app U tptp.nil) U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))))) :rule bind)
% 78.07/78.33  (step t939 (cl (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil))))) :rule resolution :premises (t937 t938 a72))
% 78.07/78.33  (step t940 (cl (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) :rule resolution :premises (t936 t939))
% 78.07/78.33  (step t941 (cl (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) :rule resolution :premises (t929 t170 t940))
% 78.07/78.33  (step t942 (cl (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) tptp.sk6)) :rule resolution :premises (t330 t183 t905 t916 t927 t941))
% 78.07/78.33  (step t943 (cl (not (= (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W))) (or (not (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) tptp.sk6)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk11)) (not (tptp.ssItem tptp.sk6)) (tptp.memberP tptp.nil tptp.sk6) (= tptp.sk11 tptp.sk6))) (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W))) (or (not (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) tptp.sk6)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk11)) (not (tptp.ssItem tptp.sk6)) (tptp.memberP tptp.nil tptp.sk6) (= tptp.sk6 tptp.sk11))))) (not (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W))) (or (not (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) tptp.sk6)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk11)) (not (tptp.ssItem tptp.sk6)) (tptp.memberP tptp.nil tptp.sk6) (= tptp.sk11 tptp.sk6)))) (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W))) (or (not (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) tptp.sk6)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk11)) (not (tptp.ssItem tptp.sk6)) (tptp.memberP tptp.nil tptp.sk6) (= tptp.sk6 tptp.sk11)))) :rule equiv_pos2)
% 78.07/78.33  (step t944 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W))))) :rule refl)
% 78.07/78.33  (step t945 (cl (= (not (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) tptp.sk6)) (not (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) tptp.sk6)))) :rule refl)
% 78.07/78.33  (step t946 (cl (= (not (tptp.ssItem tptp.sk11)) (not (tptp.ssItem tptp.sk11)))) :rule refl)
% 78.07/78.33  (step t947 (cl (= (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk6)))) :rule refl)
% 78.07/78.33  (step t948 (cl (= (tptp.memberP tptp.nil tptp.sk6) (tptp.memberP tptp.nil tptp.sk6))) :rule refl)
% 78.07/78.33  (step t949 (cl (= (= tptp.sk11 tptp.sk6) (= tptp.sk6 tptp.sk11))) :rule all_simplify)
% 78.07/78.33  (step t950 (cl (= (or (not (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) tptp.sk6)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk11)) (not (tptp.ssItem tptp.sk6)) (tptp.memberP tptp.nil tptp.sk6) (= tptp.sk11 tptp.sk6)) (or (not (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) tptp.sk6)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk11)) (not (tptp.ssItem tptp.sk6)) (tptp.memberP tptp.nil tptp.sk6) (= tptp.sk6 tptp.sk11)))) :rule cong :premises (t945 t607 t946 t947 t948 t949))
% 78.07/78.33  (step t951 (cl (= (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W))) (or (not (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) tptp.sk6)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk11)) (not (tptp.ssItem tptp.sk6)) (tptp.memberP tptp.nil tptp.sk6) (= tptp.sk11 tptp.sk6))) (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W))) (or (not (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) tptp.sk6)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk11)) (not (tptp.ssItem tptp.sk6)) (tptp.memberP tptp.nil tptp.sk6) (= tptp.sk6 tptp.sk11))))) :rule cong :premises (t944 t950))
% 78.07/78.33  (step t952 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W))) (or (not (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) tptp.sk6)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk11)) (not (tptp.ssItem tptp.sk6)) (tptp.memberP tptp.nil tptp.sk6) (= tptp.sk11 tptp.sk6))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W)))) :rule implies_neg1)
% 78.07/78.33  (anchor :step t953)
% 78.07/78.33  (assume t953.a0 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W))))
% 78.07/78.33  (step t953.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W)))) (or (not (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) tptp.sk6)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk11)) (not (tptp.ssItem tptp.sk6)) (tptp.memberP tptp.nil tptp.sk6) (= tptp.sk11 tptp.sk6)))) :rule forall_inst :args ((:= U tptp.sk11) (:= V tptp.nil) (:= W tptp.sk6)))
% 78.07/78.33  (step t953.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W)))) (or (not (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) tptp.sk6)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk11)) (not (tptp.ssItem tptp.sk6)) (tptp.memberP tptp.nil tptp.sk6) (= tptp.sk11 tptp.sk6))) :rule or :premises (t953.t1))
% 78.07/78.33  (step t953.t3 (cl (or (not (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) tptp.sk6)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk11)) (not (tptp.ssItem tptp.sk6)) (tptp.memberP tptp.nil tptp.sk6) (= tptp.sk11 tptp.sk6))) :rule resolution :premises (t953.t2 t953.a0))
% 78.07/78.33  (step t953 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W)))) (or (not (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) tptp.sk6)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk11)) (not (tptp.ssItem tptp.sk6)) (tptp.memberP tptp.nil tptp.sk6) (= tptp.sk11 tptp.sk6))) :rule subproof :discharge (t953.a0))
% 78.07/78.33  (step t954 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W))) (or (not (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) tptp.sk6)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk11)) (not (tptp.ssItem tptp.sk6)) (tptp.memberP tptp.nil tptp.sk6) (= tptp.sk11 tptp.sk6))) (or (not (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) tptp.sk6)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk11)) (not (tptp.ssItem tptp.sk6)) (tptp.memberP tptp.nil tptp.sk6) (= tptp.sk11 tptp.sk6))) :rule resolution :premises (t952 t953))
% 78.07/78.33  (step t955 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W))) (or (not (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) tptp.sk6)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk11)) (not (tptp.ssItem tptp.sk6)) (tptp.memberP tptp.nil tptp.sk6) (= tptp.sk11 tptp.sk6))) (not (or (not (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) tptp.sk6)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk11)) (not (tptp.ssItem tptp.sk6)) (tptp.memberP tptp.nil tptp.sk6) (= tptp.sk11 tptp.sk6)))) :rule implies_neg2)
% 78.07/78.33  (step t956 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W))) (or (not (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) tptp.sk6)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk11)) (not (tptp.ssItem tptp.sk6)) (tptp.memberP tptp.nil tptp.sk6) (= tptp.sk11 tptp.sk6))) (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W))) (or (not (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) tptp.sk6)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk11)) (not (tptp.ssItem tptp.sk6)) (tptp.memberP tptp.nil tptp.sk6) (= tptp.sk11 tptp.sk6)))) :rule resolution :premises (t954 t955))
% 78.07/78.33  (step t957 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W))) (or (not (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) tptp.sk6)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk11)) (not (tptp.ssItem tptp.sk6)) (tptp.memberP tptp.nil tptp.sk6) (= tptp.sk11 tptp.sk6)))) :rule contraction :premises (t956))
% 78.07/78.33  (step t958 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W))) (or (not (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) tptp.sk6)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk11)) (not (tptp.ssItem tptp.sk6)) (tptp.memberP tptp.nil tptp.sk6) (= tptp.sk6 tptp.sk11)))) :rule resolution :premises (t943 t951 t957))
% 78.07/78.33  (step t959 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W)))) (or (not (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) tptp.sk6)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk11)) (not (tptp.ssItem tptp.sk6)) (tptp.memberP tptp.nil tptp.sk6) (= tptp.sk6 tptp.sk11))) :rule implies :premises (t958))
% 78.07/78.33  (step t960 (cl (or (not (tptp.memberP (tptp.cons tptp.sk11 tptp.nil) tptp.sk6)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk11)) (not (tptp.ssItem tptp.sk6)) (tptp.memberP tptp.nil tptp.sk6) (= tptp.sk6 tptp.sk11))) :rule resolution :premises (t959 t418))
% 78.07/78.33  (step t961 (cl (= tptp.sk6 tptp.sk11)) :rule resolution :premises (t302 a7 a192 t205 t313 t942 t960))
% 78.07/78.33  (step t962 (cl (not (or (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) :rule or_pos)
% 78.07/78.33  (step t963 (cl (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (not (or (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))))) :rule reordering :premises (t962))
% 78.07/78.33  (step t964 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 tptp.sk8))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) :rule implies_neg1)
% 78.07/78.33  (anchor :step t965)
% 78.07/78.33  (assume t965.a0 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))))
% 78.07/78.33  (step t965.t1 (cl (or (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) (tptp.ssItem (tptp.skaf83 tptp.sk8)))) :rule forall_inst :args ((:= U tptp.sk8)))
% 78.07/78.33  (step t965.t2 (cl (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) (tptp.ssItem (tptp.skaf83 tptp.sk8))) :rule or :premises (t965.t1))
% 78.07/78.33  (step t965.t3 (cl (tptp.ssItem (tptp.skaf83 tptp.sk8))) :rule resolution :premises (t965.t2 t965.a0))
% 78.07/78.33  (step t965 (cl (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) (tptp.ssItem (tptp.skaf83 tptp.sk8))) :rule subproof :discharge (t965.a0))
% 78.07/78.33  (step t966 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 tptp.sk8))) (tptp.ssItem (tptp.skaf83 tptp.sk8))) :rule resolution :premises (t964 t965))
% 78.07/78.33  (step t967 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.ssItem (tptp.skaf83 tptp.sk8)))) :rule implies_neg2)
% 78.07/78.33  (step t968 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 tptp.sk8))) (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 tptp.sk8)))) :rule resolution :premises (t966 t967))
% 78.07/78.33  (step t969 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 tptp.sk8)))) :rule contraction :premises (t968))
% 78.07/78.33  (step t970 (cl (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) (tptp.ssItem (tptp.skaf83 tptp.sk8))) :rule implies :premises (t969))
% 78.07/78.33  (step t971 (cl (tptp.ssItem (tptp.skaf83 tptp.sk8))) :rule resolution :premises (t970 a11))
% 78.07/78.33  (step t972 (cl (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 tptp.sk8))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) :rule implies_neg1)
% 78.07/78.33  (anchor :step t973)
% 78.07/78.33  (assume t973.a0 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))))
% 78.07/78.33  (step t973.t1 (cl (or (not (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) (tptp.ssList (tptp.skaf82 tptp.sk8)))) :rule forall_inst :args ((:= U tptp.sk8)))
% 78.07/78.33  (step t973.t2 (cl (not (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) (tptp.ssList (tptp.skaf82 tptp.sk8))) :rule or :premises (t973.t1))
% 78.07/78.33  (step t973.t3 (cl (tptp.ssList (tptp.skaf82 tptp.sk8))) :rule resolution :premises (t973.t2 t973.a0))
% 78.07/78.33  (step t973 (cl (not (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) (tptp.ssList (tptp.skaf82 tptp.sk8))) :rule subproof :discharge (t973.a0))
% 78.07/78.33  (step t974 (cl (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 tptp.sk8))) (tptp.ssList (tptp.skaf82 tptp.sk8))) :rule resolution :premises (t972 t973))
% 78.07/78.33  (step t975 (cl (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 tptp.sk8))) (not (tptp.ssList (tptp.skaf82 tptp.sk8)))) :rule implies_neg2)
% 78.07/78.33  (step t976 (cl (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 tptp.sk8))) (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 tptp.sk8)))) :rule resolution :premises (t974 t975))
% 78.07/78.33  (step t977 (cl (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 tptp.sk8)))) :rule contraction :premises (t976))
% 78.07/78.33  (step t978 (cl (not (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) (tptp.ssList (tptp.skaf82 tptp.sk8))) :rule implies :premises (t977))
% 78.07/78.33  (step t979 (cl (tptp.ssList (tptp.skaf82 tptp.sk8))) :rule resolution :premises (t978 a12))
% 78.07/78.33  (step t980 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) :rule implies_neg1)
% 78.07/78.33  (anchor :step t981)
% 78.07/78.33  (assume t981.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))))
% 78.07/78.33  (step t981.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))))) :rule forall_inst :args ((:= U (tptp.skaf83 tptp.sk8)) (:= V (tptp.skaf82 tptp.sk8))))
% 78.07/78.33  (step t981.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) :rule or :premises (t981.t1))
% 78.07/78.33  (step t981.t3 (cl (or (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) :rule resolution :premises (t981.t2 t981.a0))
% 78.07/78.33  (step t981 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) :rule subproof :discharge (t981.a0))
% 78.07/78.33  (step t982 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) :rule resolution :premises (t980 t981))
% 78.07/78.33  (step t983 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (not (or (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))))) :rule implies_neg2)
% 78.07/78.33  (step t984 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))))) :rule resolution :premises (t982 t983))
% 78.07/78.33  (step t985 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))))) :rule contraction :premises (t984))
% 78.07/78.33  (step t986 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) :rule implies :premises (t985))
% 78.07/78.33  (step t987 (cl (or (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) :rule resolution :premises (t986 t215))
% 78.07/78.33  (step t988 (cl (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) :rule resolution :premises (t963 t971 t979 t987))
% 78.07/78.33  (step t989 (cl (not (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) :rule or_pos)
% 78.07/78.33  (step t990 (cl (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) :rule reordering :premises (t989))
% 78.07/78.33  (step t991 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))) (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) :rule implies_neg1)
% 78.07/78.33  (anchor :step t992)
% 78.07/78.33  (assume t992.a0 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))))
% 78.07/78.33  (step t992.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) :rule forall_inst :args ((:= U (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))
% 78.07/78.33  (step t992.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) :rule or :premises (t992.t1))
% 78.07/78.33  (step t992.t3 (cl (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) :rule resolution :premises (t992.t2 t992.a0))
% 78.07/78.33  (step t992 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) :rule subproof :discharge (t992.a0))
% 78.07/78.33  (step t993 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))) (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) :rule resolution :premises (t991 t992))
% 78.07/78.33  (step t994 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))) (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) :rule implies_neg2)
% 78.07/78.33  (step t995 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))) (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))) (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) :rule resolution :premises (t993 t994))
% 78.07/78.33  (step t996 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))) (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) :rule contraction :premises (t995))
% 78.07/78.33  (step t997 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) :rule implies :premises (t996))
% 78.07/78.33  (step t998 (cl (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) :rule resolution :premises (t997 t892))
% 78.07/78.33  (step t999 (cl (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) :rule resolution :premises (t990 t133 t272 t998))
% 78.07/78.33  (step t1000 (cl (not (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk8)) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk8)) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) :rule or_pos)
% 78.07/78.33  (step t1001 (cl (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk8)) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) :rule reordering :premises (t1000))
% 78.07/78.33  (step t1002 (cl (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) :rule and_neg)
% 78.07/78.33  (step t1003 (cl (=> (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) :rule implies_neg1)
% 78.07/78.33  (anchor :step t1004)
% 78.07/78.33  (assume t1004.a0 (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))
% 78.07/78.33  (assume t1004.a1 (= (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))
% 78.07/78.33  (step t1004.t1 (cl (=> (and (= (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (and (= (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) :rule implies_neg1)
% 78.07/78.33  (anchor :step t1004.t2)
% 78.07/78.33  (assume t1004.t2.a0 (= (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))
% 78.07/78.33  (assume t1004.t2.a1 (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))
% 78.07/78.33  (step t1004.t2.t1 (cl (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) :rule symm :premises (t1004.t2.a1))
% 78.07/78.33  (step t1004.t2.t2 (cl (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) :rule symm :premises (t1004.t2.t1))
% 78.07/78.33  (step t1004.t2.t3 (cl (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) :rule symm :premises (t1004.t2.a0))
% 78.07/78.33  (step t1004.t2.t4 (cl (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) :rule trans :premises (t1004.t2.t2 t1004.t2.t3))
% 78.07/78.33  (step t1004.t2 (cl (not (= (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) :rule subproof :discharge (t1004.t2.a0 t1004.t2.a1))
% 78.07/78.33  (step t1004.t3 (cl (not (and (= (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) (= (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) :rule and_pos)
% 78.07/78.33  (step t1004.t4 (cl (not (and (= (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) :rule and_pos)
% 78.07/78.33  (step t1004.t5 (cl (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) (not (and (= (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) (not (and (= (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))))) :rule resolution :premises (t1004.t2 t1004.t3 t1004.t4))
% 78.07/78.33  (step t1004.t6 (cl (not (and (= (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) (not (and (= (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) :rule reordering :premises (t1004.t5))
% 78.07/78.33  (step t1004.t7 (cl (not (and (= (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) :rule contraction :premises (t1004.t6))
% 78.07/78.33  (step t1004.t8 (cl (=> (and (= (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t1004.t1 t1004.t7))
% 78.07/78.33  (step t1004.t9 (cl (=> (and (= (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) :rule implies_neg2)
% 78.07/78.33  (step t1004.t10 (cl (=> (and (= (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (=> (and (= (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t1004.t8 t1004.t9))
% 78.07/78.33  (step t1004.t11 (cl (=> (and (= (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) :rule contraction :premises (t1004.t10))
% 78.07/78.33  (step t1004.t12 (cl (not (and (= (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) :rule implies :premises (t1004.t11))
% 78.07/78.33  (step t1004.t13 (cl (and (= (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) :rule and_neg)
% 78.07/78.33  (step t1004.t14 (cl (and (= (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) :rule resolution :premises (t1004.t13 t1004.a1 t1004.a0))
% 78.07/78.33  (step t1004.t15 (cl (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t1004.t12 t1004.t14))
% 78.07/78.33  (step t1004 (cl (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) :rule subproof :discharge (t1004.a0 t1004.a1))
% 78.07/78.33  (step t1005 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) :rule and_pos)
% 78.07/78.33  (step t1006 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) (= (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) :rule and_pos)
% 78.07/78.33  (step t1007 (cl (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))))) :rule resolution :premises (t1004 t1005 t1006))
% 78.07/78.33  (step t1008 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) :rule reordering :premises (t1007))
% 78.07/78.33  (step t1009 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) :rule contraction :premises (t1008))
% 78.07/78.33  (step t1010 (cl (=> (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t1003 t1009))
% 78.07/78.33  (step t1011 (cl (=> (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) :rule implies_neg2)
% 78.07/78.33  (step t1012 (cl (=> (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (=> (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t1010 t1011))
% 78.07/78.33  (step t1013 (cl (=> (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) :rule contraction :premises (t1012))
% 78.07/78.33  (step t1014 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) :rule implies :premises (t1013))
% 78.07/78.33  (step t1015 (cl (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t1002 t1014))
% 78.07/78.33  (step t1016 (cl (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) (not (= (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) :rule reordering :premises (t1015))
% 78.07/78.33  (step t1017 (cl (not (or (not (tptp.rearsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) (not (tptp.rearsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) :rule or_pos)
% 78.07/78.33  (step t1018 (cl (not (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.rearsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (or (not (tptp.rearsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))))) :rule reordering :premises (t1017))
% 78.07/78.33  (step t1019 (cl (not (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk8)) (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk8)) (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) :rule or_pos)
% 78.07/78.33  (step t1020 (cl (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) (not (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk8)) (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) :rule reordering :premises (t1019))
% 78.07/78.33  (step t1021 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk8)) (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U))))) :rule implies_neg1)
% 78.07/78.33  (anchor :step t1022)
% 78.07/78.33  (assume t1022.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))))
% 78.07/78.33  (step t1022.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U))))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk8)) (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) :rule forall_inst :args ((:= U (tptp.cons tptp.sk6 tptp.nil)) (:= V tptp.sk8)))
% 78.07/78.33  (step t1022.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U))))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk8)) (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) :rule or :premises (t1022.t1))
% 78.07/78.33  (step t1022.t3 (cl (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk8)) (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t1022.t2 t1022.a0))
% 78.07/78.33  (step t1022 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U))))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk8)) (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) :rule subproof :discharge (t1022.a0))
% 78.07/78.33  (step t1023 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk8)) (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk8)) (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t1021 t1022))
% 78.07/78.33  (step t1024 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk8)) (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk8)) (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) :rule implies_neg2)
% 78.07/78.33  (step t1025 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk8)) (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk8)) (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) :rule resolution :premises (t1023 t1024))
% 78.07/78.33  (step t1026 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk8)) (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) :rule contraction :premises (t1025))
% 78.07/78.33  (step t1027 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U))))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk8)) (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) :rule implies :premises (t1026))
% 78.07/78.33  (step t1028 (cl (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk8)) (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t1027 a84))
% 78.07/78.33  (step t1029 (cl (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t1020 a194 t100 t1028))
% 78.07/78.33  (step t1030 (cl (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) :rule and_neg)
% 78.07/78.33  (step t1031 (cl (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) :rule implies_neg1)
% 78.07/78.33  (anchor :step t1032)
% 78.07/78.33  (assume t1032.a0 (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))
% 78.07/78.33  (assume t1032.a1 (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))
% 78.07/78.33  (step t1032.t1 (cl (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) :rule implies_neg1)
% 78.07/78.33  (anchor :step t1032.t2)
% 78.07/78.33  (assume t1032.t2.a0 (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))
% 78.07/78.33  (assume t1032.t2.a1 (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))
% 78.07/78.33  (step t1032.t2.t1 (cl (= (= (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) true) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) :rule equiv_simplify)
% 78.07/78.33  (step t1032.t2.t2 (cl (not (= (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) true)) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) :rule equiv1 :premises (t1032.t2.t1))
% 78.07/78.33  (step t1032.t2.t3 (cl (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) :rule symm :premises (t1032.t2.a1))
% 78.07/78.33  (step t1032.t2.t4 (cl (= (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) :rule cong :premises (t1032.t2.t3))
% 78.07/78.33  (step t1032.t2.t5 (cl (= (= (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) true) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) :rule equiv_simplify)
% 78.07/78.33  (step t1032.t2.t6 (cl (= (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) true) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) :rule equiv2 :premises (t1032.t2.t5))
% 78.07/78.33  (step t1032.t2.t7 (cl (= (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) true)) :rule resolution :premises (t1032.t2.t6 t1032.t2.a0))
% 78.07/78.33  (step t1032.t2.t8 (cl (= (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) true)) :rule trans :premises (t1032.t2.t4 t1032.t2.t7))
% 78.07/78.33  (step t1032.t2.t9 (cl (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t1032.t2.t2 t1032.t2.t8))
% 78.07/78.33  (step t1032.t2 (cl (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) :rule subproof :discharge (t1032.t2.a0 t1032.t2.a1))
% 78.07/78.33  (step t1032.t3 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) :rule and_pos)
% 78.07/78.33  (step t1032.t4 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) :rule and_pos)
% 78.07/78.33  (step t1032.t5 (cl (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))))) :rule resolution :premises (t1032.t2 t1032.t3 t1032.t4))
% 78.07/78.33  (step t1032.t6 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) :rule reordering :premises (t1032.t5))
% 78.07/78.33  (step t1032.t7 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) :rule contraction :premises (t1032.t6))
% 78.07/78.33  (step t1032.t8 (cl (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t1032.t1 t1032.t7))
% 78.07/78.33  (step t1032.t9 (cl (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) :rule implies_neg2)
% 78.07/78.33  (step t1032.t10 (cl (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) :rule resolution :premises (t1032.t8 t1032.t9))
% 78.07/78.33  (step t1032.t11 (cl (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) :rule contraction :premises (t1032.t10))
% 78.07/78.33  (step t1032.t12 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) :rule implies :premises (t1032.t11))
% 78.07/78.33  (step t1032.t13 (cl (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) :rule and_neg)
% 78.07/78.33  (step t1032.t14 (cl (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) :rule resolution :premises (t1032.t13 t1032.a0 t1032.a1))
% 78.07/78.33  (step t1032.t15 (cl (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t1032.t12 t1032.t14))
% 78.07/78.33  (step t1032 (cl (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) :rule subproof :discharge (t1032.a0 t1032.a1))
% 78.07/78.33  (step t1033 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) :rule and_pos)
% 78.07/78.33  (step t1034 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) :rule and_pos)
% 78.07/78.33  (step t1035 (cl (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))))) :rule resolution :premises (t1032 t1033 t1034))
% 78.07/78.33  (step t1036 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) :rule reordering :premises (t1035))
% 78.07/78.33  (step t1037 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) :rule contraction :premises (t1036))
% 78.07/78.33  (step t1038 (cl (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t1031 t1037))
% 78.07/78.33  (step t1039 (cl (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) :rule implies_neg2)
% 78.07/78.33  (step t1040 (cl (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) :rule resolution :premises (t1038 t1039))
% 78.07/78.33  (step t1041 (cl (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) :rule contraction :premises (t1040))
% 78.07/78.33  (step t1042 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) :rule implies :premises (t1041))
% 78.07/78.33  (step t1043 (cl (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t1030 t1042))
% 78.07/78.33  (step t1044 (cl (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t1043 t170 t916))
% 78.07/78.33  (step t1045 (cl (not (or (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (tptp.rearsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (tptp.rearsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) :rule or_pos)
% 78.07/78.33  (step t1046 (cl (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (tptp.rearsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) (not (or (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (tptp.rearsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) :rule reordering :premises (t1045))
% 78.07/78.33  (step t1047 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app U V))) (tptp.rearsegP (tptp.app U V) V))) (or (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (tptp.rearsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app U V))) (tptp.rearsegP (tptp.app U V) V)))) :rule implies_neg1)
% 78.07/78.33  (anchor :step t1048)
% 78.07/78.33  (assume t1048.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app U V))) (tptp.rearsegP (tptp.app U V) V))))
% 78.07/78.33  (step t1048.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app U V))) (tptp.rearsegP (tptp.app U V) V)))) (or (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (tptp.rearsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) :rule forall_inst :args ((:= U (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (:= V (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))
% 78.07/78.33  (step t1048.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app U V))) (tptp.rearsegP (tptp.app U V) V)))) (or (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (tptp.rearsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) :rule or :premises (t1048.t1))
% 78.07/78.33  (step t1048.t3 (cl (or (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (tptp.rearsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t1048.t2 t1048.a0))
% 78.07/78.33  (step t1048 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app U V))) (tptp.rearsegP (tptp.app U V) V)))) (or (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (tptp.rearsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) :rule subproof :discharge (t1048.a0))
% 78.07/78.33  (step t1049 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app U V))) (tptp.rearsegP (tptp.app U V) V))) (or (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (tptp.rearsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (or (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (tptp.rearsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t1047 t1048))
% 78.07/78.33  (step t1050 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app U V))) (tptp.rearsegP (tptp.app U V) V))) (or (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (tptp.rearsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (or (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (tptp.rearsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) :rule implies_neg2)
% 78.07/78.33  (step t1051 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app U V))) (tptp.rearsegP (tptp.app U V) V))) (or (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (tptp.rearsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app U V))) (tptp.rearsegP (tptp.app U V) V))) (or (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (tptp.rearsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) :rule resolution :premises (t1049 t1050))
% 78.07/78.33  (step t1052 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app U V))) (tptp.rearsegP (tptp.app U V) V))) (or (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (tptp.rearsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) :rule contraction :premises (t1051))
% 78.07/78.33  (step t1053 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app U V))) (tptp.rearsegP (tptp.app U V) V)))) (or (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (tptp.rearsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) :rule implies :premises (t1052))
% 78.07/78.33  (step t1054 (cl (not (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (tptp.rearsegP W V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app U V))) (tptp.rearsegP (tptp.app U V) V))))) (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (tptp.rearsegP W V)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app U V))) (tptp.rearsegP (tptp.app U V) V)))) :rule equiv_pos2)
% 78.07/78.33  (anchor :step t1055 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V) (W $$unsorted) (:= W W)))
% 78.07/78.33  (step t1055.t1 (cl (= U U)) :rule refl)
% 78.07/78.33  (step t1055.t2 (cl (= V V)) :rule refl)
% 78.07/78.33  (step t1055.t3 (cl (= W W)) :rule refl)
% 78.07/78.33  (step t1055.t4 (cl (= (= (tptp.app U V) W) (= W (tptp.app U V)))) :rule all_simplify)
% 78.07/78.33  (step t1055.t5 (cl (= (not (= (tptp.app U V) W)) (not (= W (tptp.app U V))))) :rule cong :premises (t1055.t4))
% 78.07/78.33  (step t1055.t6 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 78.07/78.33  (step t1055.t7 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 78.07/78.33  (step t1055.t8 (cl (= (not (tptp.ssList W)) (not (tptp.ssList W)))) :rule refl)
% 78.07/78.33  (step t1055.t9 (cl (= (tptp.rearsegP W V) (tptp.rearsegP W V))) :rule refl)
% 78.07/78.33  (step t1055.t10 (cl (= (or (not (= (tptp.app U V) W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (tptp.rearsegP W V)) (or (not (= W (tptp.app U V))) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (tptp.rearsegP W V)))) :rule cong :premises (t1055.t5 t1055.t6 t1055.t7 t1055.t8 t1055.t9))
% 78.07/78.33  (step t1055 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (tptp.rearsegP W V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= W (tptp.app U V))) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (tptp.rearsegP W V))))) :rule bind)
% 78.07/78.33  (step t1056 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= W (tptp.app U V))) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (tptp.rearsegP W V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.app U V) (tptp.app U V))) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app U V))) (tptp.rearsegP (tptp.app U V) V))))) :rule all_simplify)
% 78.07/78.33  (anchor :step t1057 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 78.07/78.33  (step t1057.t1 (cl (= U U)) :rule refl)
% 78.07/78.33  (step t1057.t2 (cl (= V V)) :rule refl)
% 78.07/78.33  (step t1057.t3 (cl (= (= (tptp.app U V) (tptp.app U V)) true)) :rule all_simplify)
% 78.07/78.33  (step t1057.t4 (cl (= (not (= (tptp.app U V) (tptp.app U V))) (not true))) :rule cong :premises (t1057.t3))
% 78.07/78.33  (step t1057.t5 (cl (= (not (= (tptp.app U V) (tptp.app U V))) false)) :rule trans :premises (t1057.t4 t605))
% 78.07/78.33  (step t1057.t6 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 78.07/78.33  (step t1057.t7 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 78.07/78.33  (step t1057.t8 (cl (= (not (tptp.ssList (tptp.app U V))) (not (tptp.ssList (tptp.app U V))))) :rule refl)
% 78.07/78.33  (step t1057.t9 (cl (= (tptp.rearsegP (tptp.app U V) V) (tptp.rearsegP (tptp.app U V) V))) :rule refl)
% 78.07/78.33  (step t1057.t10 (cl (= (or (not (= (tptp.app U V) (tptp.app U V))) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app U V))) (tptp.rearsegP (tptp.app U V) V)) (or false (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app U V))) (tptp.rearsegP (tptp.app U V) V)))) :rule cong :premises (t1057.t5 t1057.t6 t1057.t7 t1057.t8 t1057.t9))
% 78.07/78.33  (step t1057.t11 (cl (= (or false (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app U V))) (tptp.rearsegP (tptp.app U V) V)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app U V))) (tptp.rearsegP (tptp.app U V) V)))) :rule all_simplify)
% 78.07/78.33  (step t1057.t12 (cl (= (or (not (= (tptp.app U V) (tptp.app U V))) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app U V))) (tptp.rearsegP (tptp.app U V) V)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app U V))) (tptp.rearsegP (tptp.app U V) V)))) :rule trans :premises (t1057.t10 t1057.t11))
% 78.07/78.33  (step t1057 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.app U V) (tptp.app U V))) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app U V))) (tptp.rearsegP (tptp.app U V) V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app U V))) (tptp.rearsegP (tptp.app U V) V))))) :rule bind)
% 78.07/78.33  (step t1058 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= W (tptp.app U V))) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (tptp.rearsegP W V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app U V))) (tptp.rearsegP (tptp.app U V) V))))) :rule trans :premises (t1056 t1057))
% 78.07/78.33  (step t1059 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (tptp.rearsegP W V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app U V))) (tptp.rearsegP (tptp.app U V) V))))) :rule trans :premises (t1055 t1058))
% 78.07/78.33  (step t1060 (cl (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app U V))) (tptp.rearsegP (tptp.app U V) V)))) :rule resolution :premises (t1054 t1059 a142))
% 78.07/78.33  (step t1061 (cl (or (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (tptp.rearsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t1053 t1060))
% 78.07/78.33  (step t1062 (cl (tptp.rearsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t1046 t124 t1029 t1044 t1061))
% 78.07/78.33  (step t1063 (cl (not (= (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (= tptp.nil tptp.sk9)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (not (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))))) (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (= tptp.nil tptp.sk9)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))))) (not (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (= tptp.nil tptp.sk9)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (not (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))))) (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (= tptp.nil tptp.sk9)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) :rule equiv_pos2)
% 78.07/78.33  (step t1064 (cl (= (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.nil (tptp.app tptp.nil tptp.nil))))) :rule refl)
% 78.07/78.33  (step t1065 (cl (= (not (= tptp.nil tptp.sk9)) (not (= tptp.nil tptp.sk9)))) :rule refl)
% 78.07/78.33  (step t1066 (cl (= (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))))) :rule refl)
% 78.07/78.33  (step t1067 (cl (= (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))))) :rule refl)
% 78.07/78.33  (step t1068 (cl (= (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule refl)
% 78.07/78.33  (step t1069 (cl (= (= (= (not (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) true) (= (not (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))))) :rule equiv_simplify)
% 78.07/78.33  (step t1070 (cl (not (= (= (not (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) true)) (= (not (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) :rule equiv1 :premises (t1069))
% 78.07/78.33  (step t1071 (cl (= (= (not (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))))))) :rule all_simplify)
% 78.07/78.33  (step t1072 (cl (= (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) :rule refl)
% 78.07/78.33  (step t1073 (cl (= (not (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) :rule all_simplify)
% 78.07/78.33  (step t1074 (cl (= (= (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))))) (= (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))))) :rule cong :premises (t1072 t1073))
% 78.07/78.33  (step t1075 (cl (= (= (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) true)) :rule all_simplify)
% 78.07/78.33  (step t1076 (cl (= (= (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))))) true)) :rule trans :premises (t1074 t1075))
% 78.07/78.33  (step t1077 (cl (= (= (not (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) true)) :rule trans :premises (t1071 t1076))
% 78.07/78.33  (step t1078 (cl (= (not (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) :rule resolution :premises (t1070 t1077))
% 78.07/78.33  (step t1079 (cl (= (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (= tptp.nil tptp.sk9)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (not (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))))) (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (= tptp.nil tptp.sk9)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))))) :rule cong :premises (t1064 t4 t1065 t1066 t19 t1067 t1068 t1078))
% 78.07/78.33  (step t1080 (cl (not (= (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))))))) (not (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))))) :rule equiv_pos2)
% 78.07/78.33  (step t1081 (cl (= (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))))) :rule refl)
% 78.07/78.33  (step t1082 (cl (= (= (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))) false) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))))) :rule equiv_simplify)
% 78.07/78.33  (step t1083 (cl (= (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))) false) (not (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))))) :rule equiv2 :premises (t1082))
% 78.07/78.33  (step t1084 (cl (not (not (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))))) (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))) :rule not_not)
% 78.07/78.33  (step t1085 (cl (= (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))) false) (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))) :rule resolution :premises (t1083 t1084))
% 78.07/78.33  (step t1086 (cl (=> (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))) false) (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))) :rule implies_neg1)
% 78.07/78.33  (anchor :step t1087)
% 78.07/78.33  (assume t1087.a0 (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))
% 78.07/78.33  (assume t1087.a1 (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))
% 78.07/78.33  (assume t1087.a2 (= tptp.sk6 tptp.sk11))
% 78.07/78.33  (assume t1087.a3 (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))
% 78.07/78.33  (assume t1087.a4 (= tptp.nil tptp.sk9))
% 78.07/78.33  (assume t1087.a5 (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))))
% 78.07/78.33  (assume t1087.a6 (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)))
% 78.07/78.33  (assume t1087.a7 (= tptp.nil (tptp.app tptp.nil tptp.nil)))
% 78.07/78.33  (step t1087.t1 (cl (not (= (= true false) false)) (not (= true false)) false) :rule equiv_pos2)
% 78.07/78.33  (step t1087.t2 (cl (= (= true false) false)) :rule all_simplify)
% 78.07/78.33  (step t1087.t3 (cl (= (= (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) true) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) :rule equiv_simplify)
% 78.07/78.33  (step t1087.t4 (cl (= (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) true) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) :rule equiv2 :premises (t1087.t3))
% 78.07/78.33  (step t1087.t5 (cl (= (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) true)) :rule resolution :premises (t1087.t4 t1087.a1))
% 78.07/78.33  (step t1087.t6 (cl (= true (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) :rule symm :premises (t1087.t5))
% 78.07/78.33  (step t1087.t7 (cl (= (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) :rule refl)
% 78.07/78.33  (step t1087.t8 (cl (= tptp.sk6 tptp.sk6)) :rule refl)
% 78.07/78.33  (step t1087.t9 (cl (= (tptp.cons tptp.sk6 tptp.nil) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.nil)))) :rule cong :premises (t1087.t8 t1087.a7))
% 78.07/78.33  (step t1087.t10 (cl (= tptp.sk11 tptp.sk6)) :rule symm :premises (t1087.a2))
% 78.07/78.33  (step t1087.t11 (cl (= tptp.sk6 tptp.sk11)) :rule symm :premises (t1087.t10))
% 78.07/78.33  (step t1087.t12 (cl (= (tptp.app tptp.nil tptp.nil) tptp.nil)) :rule symm :premises (t1087.a7))
% 78.07/78.33  (step t1087.t13 (cl (= (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.nil)) (tptp.cons tptp.sk11 tptp.nil))) :rule cong :premises (t1087.t11 t1087.t12))
% 78.07/78.33  (step t1087.t14 (cl (= (tptp.cons tptp.sk11 tptp.nil) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) :rule symm :premises (t1087.a6))
% 78.07/78.33  (step t1087.t15 (cl (= tptp.sk9 tptp.sk9)) :rule refl)
% 78.07/78.33  (step t1087.t16 (cl (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil) tptp.sk9))) :rule cong :premises (t1087.a3 t1087.t15))
% 78.07/78.33  (step t1087.t17 (cl (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) :rule symm :premises (t1087.a3))
% 78.07/78.33  (step t1087.t18 (cl (= tptp.sk9 tptp.nil)) :rule symm :premises (t1087.a4))
% 78.07/78.33  (step t1087.t19 (cl (= (tptp.app (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil) tptp.sk9) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) :rule cong :premises (t1087.t17 t1087.t18))
% 78.07/78.33  (step t1087.t20 (cl (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) :rule symm :premises (t1087.a0))
% 78.07/78.33  (step t1087.t21 (cl (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) :rule symm :premises (t1087.t20))
% 78.07/78.33  (step t1087.t22 (cl (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) :rule trans :premises (t1087.t9 t1087.t13 t1087.t14 t1087.t16 t1087.t19 t1087.t17 t1087.t21))
% 78.07/78.33  (step t1087.t23 (cl (= (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) :rule cong :premises (t1087.t7 t1087.t22))
% 78.07/78.33  (step t1087.t24 (cl (= (= (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) false) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))))) :rule equiv_simplify)
% 78.07/78.33  (step t1087.t25 (cl (= (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) false) (not (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))))) :rule equiv2 :premises (t1087.t24))
% 78.07/78.33  (step t1087.t26 (cl (not (not (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) :rule not_not)
% 78.07/78.33  (step t1087.t27 (cl (= (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) false) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t1087.t25 t1087.t26))
% 78.07/78.33  (step t1087.t28 (cl (= (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) false)) :rule resolution :premises (t1087.t27 t1087.a5))
% 78.07/78.33  (step t1087.t29 (cl (= true false)) :rule trans :premises (t1087.t6 t1087.t23 t1087.t28))
% 78.07/78.33  (step t1087.t30 (cl false) :rule resolution :premises (t1087.t1 t1087.t2 t1087.t29))
% 78.07/78.33  (step t1087 (cl (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) (not (= tptp.nil tptp.sk9)) (not (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) false) :rule subproof :discharge (t1087.a0 t1087.a1 t1087.a2 t1087.a3 t1087.a4 t1087.a5 t1087.a6 t1087.a7))
% 78.07/78.33  (step t1088 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) :rule and_pos)
% 78.07/78.33  (step t1089 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) :rule and_pos)
% 78.07/78.33  (step t1090 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))) (= tptp.sk6 tptp.sk11)) :rule and_pos)
% 78.07/78.33  (step t1091 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) :rule and_pos)
% 78.07/78.33  (step t1092 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))) (= tptp.nil tptp.sk9)) :rule and_pos)
% 78.07/78.33  (step t1093 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) :rule and_pos)
% 78.07/78.33  (step t1094 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) :rule and_pos)
% 78.07/78.33  (step t1095 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))) (= tptp.nil (tptp.app tptp.nil tptp.nil))) :rule and_pos)
% 78.07/78.33  (step t1096 (cl false (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))))) :rule resolution :premises (t1087 t1088 t1089 t1090 t1091 t1092 t1093 t1094 t1095))
% 78.07/78.33  (step t1097 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))) false) :rule reordering :premises (t1096))
% 78.07/78.33  (step t1098 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))) false) :rule contraction :premises (t1097))
% 78.07/78.33  (step t1099 (cl (=> (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))) false) false) :rule resolution :premises (t1086 t1098))
% 78.07/78.33  (step t1100 (cl (=> (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))) false) (not false)) :rule implies_neg2)
% 78.07/78.33  (step t1101 (cl (=> (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))) false) (=> (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))) false)) :rule resolution :premises (t1099 t1100))
% 78.07/78.33  (step t1102 (cl (=> (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))) false)) :rule contraction :premises (t1101))
% 78.07/78.33  (step t1103 (cl (= (=> (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))) false) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))))) :rule implies_simplify)
% 78.07/78.33  (step t1104 (cl (not (=> (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))) false)) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))))) :rule equiv1 :premises (t1103))
% 78.07/78.33  (step t1105 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))))) :rule resolution :premises (t1102 t1104))
% 78.07/78.33  (step t1106 (cl (= (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))) false)) :rule resolution :premises (t1085 t1105))
% 78.07/78.33  (step t1107 (cl (= (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))) (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) false))) :rule cong :premises (t1081 t1106))
% 78.07/78.33  (step t1108 (cl (= (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) false) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))))))) :rule all_simplify)
% 78.07/78.33  (step t1109 (cl (= (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))))))) :rule trans :premises (t1107 t1108))
% 78.07/78.33  (step t1110 (cl (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))) (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))))) :rule implies_neg1)
% 78.07/78.33  (anchor :step t1111)
% 78.07/78.33  (assume t1111.a0 (= tptp.nil (tptp.app tptp.nil tptp.nil)))
% 78.07/78.33  (assume t1111.a1 (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)))
% 78.07/78.33  (assume t1111.a2 (= tptp.nil tptp.sk9))
% 78.07/78.33  (assume t1111.a3 (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))
% 78.07/78.33  (assume t1111.a4 (= tptp.sk6 tptp.sk11))
% 78.07/78.33  (assume t1111.a5 (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))
% 78.07/78.33  (assume t1111.a6 (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))
% 78.07/78.33  (assume t1111.a7 (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))))
% 78.07/78.33  (step t1111.t1 (cl (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) (not (= tptp.nil tptp.sk9)) (not (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (= tptp.nil (tptp.app tptp.nil tptp.nil)))) :rule and_neg)
% 78.07/78.33  (step t1111.t2 (cl (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))) :rule resolution :premises (t1111.t1 t1111.a3 t1111.a6 t1111.a4 t1111.a5 t1111.a2 t1111.a7 t1111.a1 t1111.a0))
% 78.07/78.33  (step t1111 (cl (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (= tptp.nil tptp.sk9)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (not (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))) :rule subproof :discharge (t1111.a0 t1111.a1 t1111.a2 t1111.a3 t1111.a4 t1111.a5 t1111.a6 t1111.a7))
% 78.07/78.33  (step t1112 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))))) (= tptp.nil (tptp.app tptp.nil tptp.nil))) :rule and_pos)
% 78.07/78.33  (step t1113 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) :rule and_pos)
% 78.07/78.33  (step t1114 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))))) (= tptp.nil tptp.sk9)) :rule and_pos)
% 78.07/78.33  (step t1115 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) :rule and_pos)
% 78.07/78.33  (step t1116 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))))) (= tptp.sk6 tptp.sk11)) :rule and_pos)
% 78.07/78.33  (step t1117 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) :rule and_pos)
% 78.07/78.33  (step t1118 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) :rule and_pos)
% 78.07/78.33  (step t1119 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))))) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) :rule and_pos)
% 78.07/78.33  (step t1120 (cl (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))))) :rule resolution :premises (t1111 t1112 t1113 t1114 t1115 t1116 t1117 t1118 t1119))
% 78.07/78.33  (step t1121 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))))) (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))) :rule reordering :premises (t1120))
% 78.07/78.33  (step t1122 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))))) (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))) :rule contraction :premises (t1121))
% 78.07/78.33  (step t1123 (cl (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))) (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))) :rule resolution :premises (t1110 t1122))
% 78.07/78.33  (step t1124 (cl (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))))) :rule implies_neg2)
% 78.07/78.33  (step t1125 (cl (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))) (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))))) :rule resolution :premises (t1123 t1124))
% 78.07/78.33  (step t1126 (cl (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))))) :rule contraction :premises (t1125))
% 78.07/78.33  (step t1127 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))))) :rule resolution :premises (t1080 t1109 t1126))
% 78.07/78.33  (step t1128 (cl (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (= tptp.nil tptp.sk9)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (not (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))))) :rule not_and :premises (t1127))
% 78.07/78.33  (step t1129 (cl (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (= tptp.nil tptp.sk9)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (not (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))))) (not (not (= tptp.nil (tptp.app tptp.nil tptp.nil))))) :rule or_neg)
% 78.07/78.33  (step t1130 (cl (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (= tptp.nil tptp.sk9)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (not (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))))) (not (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))))) :rule or_neg)
% 78.07/78.33  (step t1131 (cl (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (= tptp.nil tptp.sk9)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (not (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))))) (not (not (= tptp.nil tptp.sk9)))) :rule or_neg)
% 78.07/78.33  (step t1132 (cl (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (= tptp.nil tptp.sk9)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (not (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))))) (not (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))))) :rule or_neg)
% 78.07/78.33  (step t1133 (cl (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (= tptp.nil tptp.sk9)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (not (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))))) (not (not (= tptp.sk6 tptp.sk11)))) :rule or_neg)
% 78.07/78.33  (step t1134 (cl (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (= tptp.nil tptp.sk9)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (not (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))))) (not (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))))) :rule or_neg)
% 78.07/78.33  (step t1135 (cl (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (= tptp.nil tptp.sk9)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (not (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))))) (not (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule or_neg)
% 78.07/78.33  (step t1136 (cl (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (= tptp.nil tptp.sk9)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (not (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))))) (not (not (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))))) :rule or_neg)
% 78.07/78.33  (step t1137 (cl (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (= tptp.nil tptp.sk9)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (not (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))))) (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (= tptp.nil tptp.sk9)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (not (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))))) (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (= tptp.nil tptp.sk9)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (not (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))))) (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (= tptp.nil tptp.sk9)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (not (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))))) (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (= tptp.nil tptp.sk9)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (not (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))))) (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (= tptp.nil tptp.sk9)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (not (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))))) (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (= tptp.nil tptp.sk9)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (not (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))))) (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (= tptp.nil tptp.sk9)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (not (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))))) :rule resolution :premises (t1128 t1129 t1130 t1131 t1132 t1133 t1134 t1135 t1136))
% 78.07/78.33  (step t1138 (cl (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (= tptp.nil tptp.sk9)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (not (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))))) :rule contraction :premises (t1137))
% 78.07/78.33  (step t1139 (cl (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (= tptp.nil tptp.sk9)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) :rule resolution :premises (t1063 t1079 t1138))
% 78.07/78.33  (step t1140 (cl (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (= tptp.nil tptp.sk9)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) :rule or :premises (t1139))
% 78.07/78.33  (step t1141 (cl (not (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) :rule or_pos)
% 78.07/78.33  (step t1142 (cl (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (not (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule reordering :premises (t1141))
% 78.07/78.33  (step t1143 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app U V))) (tptp.rearsegP (tptp.app U V) V))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app U V))) (tptp.rearsegP (tptp.app U V) V)))) :rule implies_neg1)
% 78.07/78.33  (anchor :step t1144)
% 78.07/78.33  (assume t1144.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app U V))) (tptp.rearsegP (tptp.app U V) V))))
% 78.07/78.33  (step t1144.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app U V))) (tptp.rearsegP (tptp.app U V) V)))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule forall_inst :args ((:= U tptp.sk8) (:= V (tptp.cons tptp.sk6 tptp.nil))))
% 78.07/78.33  (step t1144.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app U V))) (tptp.rearsegP (tptp.app U V) V)))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) :rule or :premises (t1144.t1))
% 78.07/78.33  (step t1144.t3 (cl (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t1144.t2 t1144.a0))
% 78.07/78.33  (step t1144 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app U V))) (tptp.rearsegP (tptp.app U V) V)))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) :rule subproof :discharge (t1144.a0))
% 78.07/78.33  (step t1145 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app U V))) (tptp.rearsegP (tptp.app U V) V))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t1143 t1144))
% 78.07/78.33  (step t1146 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app U V))) (tptp.rearsegP (tptp.app U V) V))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule implies_neg2)
% 78.07/78.33  (step t1147 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app U V))) (tptp.rearsegP (tptp.app U V) V))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app U V))) (tptp.rearsegP (tptp.app U V) V))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t1145 t1146))
% 78.07/78.33  (step t1148 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app U V))) (tptp.rearsegP (tptp.app U V) V))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule contraction :premises (t1147))
% 78.07/78.33  (step t1149 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app U V))) (tptp.rearsegP (tptp.app U V) V)))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) :rule implies :premises (t1148))
% 78.07/78.33  (step t1150 (cl (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t1149 t1060))
% 78.07/78.33  (step t1151 (cl (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) :rule resolution :premises (t1142 a194 t100 t1029 t1150))
% 78.07/78.33  (step t1152 (cl (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t1140 t616 t183 t905 t916 t961 t941 t1151))
% 78.07/78.33  (step t1153 (cl (not (= (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.rearsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))) (or (not (tptp.rearsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.rearsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))) (or (not (tptp.rearsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))))) (not (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.rearsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))) (or (not (tptp.rearsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.rearsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))) (or (not (tptp.rearsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))))) :rule equiv_pos2)
% 78.07/78.33  (step t1154 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.rearsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.rearsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))))) :rule refl)
% 78.07/78.33  (step t1155 (cl (= (not (tptp.rearsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.rearsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) :rule refl)
% 78.07/78.33  (step t1156 (cl (= (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))))) :rule refl)
% 78.07/78.33  (step t1157 (cl (= (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))))) :rule refl)
% 78.07/78.33  (step t1158 (cl (= (not (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) :rule refl)
% 78.07/78.33  (step t1159 (cl (= (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) :rule all_simplify)
% 78.07/78.33  (step t1160 (cl (= (or (not (tptp.rearsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (or (not (tptp.rearsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))))) :rule cong :premises (t1155 t1156 t1157 t1158 t1159))
% 78.07/78.33  (step t1161 (cl (= (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.rearsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))) (or (not (tptp.rearsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.rearsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))) (or (not (tptp.rearsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))))) :rule cong :premises (t1154 t1160))
% 78.07/78.33  (step t1162 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.rearsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))) (or (not (tptp.rearsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.rearsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V)))) :rule implies_neg1)
% 78.07/78.33  (anchor :step t1163)
% 78.07/78.33  (assume t1163.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.rearsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))))
% 78.07/78.33  (step t1163.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.rearsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V)))) (or (not (tptp.rearsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) :rule forall_inst :args ((:= U (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (:= V (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))
% 78.07/78.33  (step t1163.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.rearsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V)))) (or (not (tptp.rearsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) :rule or :premises (t1163.t1))
% 78.07/78.33  (step t1163.t3 (cl (or (not (tptp.rearsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t1163.t2 t1163.a0))
% 78.07/78.33  (step t1163 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.rearsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V)))) (or (not (tptp.rearsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) :rule subproof :discharge (t1163.a0))
% 78.07/78.33  (step t1164 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.rearsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))) (or (not (tptp.rearsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (or (not (tptp.rearsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t1162 t1163))
% 78.07/78.33  (step t1165 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.rearsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))) (or (not (tptp.rearsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (or (not (tptp.rearsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) :rule implies_neg2)
% 78.07/78.33  (step t1166 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.rearsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))) (or (not (tptp.rearsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.rearsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))) (or (not (tptp.rearsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) :rule resolution :premises (t1164 t1165))
% 78.07/78.33  (step t1167 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.rearsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))) (or (not (tptp.rearsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) :rule contraction :premises (t1166))
% 78.07/78.33  (step t1168 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.rearsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))) (or (not (tptp.rearsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))))) :rule resolution :premises (t1153 t1161 t1167))
% 78.07/78.33  (step t1169 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.rearsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V)))) (or (not (tptp.rearsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) :rule implies :premises (t1168))
% 78.07/78.33  (step t1170 (cl (not (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.rearsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= V U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.rearsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.rearsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= V U)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.rearsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V)))) :rule equiv_pos2)
% 78.07/78.33  (anchor :step t1171 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 78.07/78.33  (step t1171.t1 (cl (= U U)) :rule refl)
% 78.07/78.33  (step t1171.t2 (cl (= V V)) :rule refl)
% 78.07/78.33  (step t1171.t3 (cl (= (not (tptp.rearsegP U V)) (not (tptp.rearsegP U V)))) :rule refl)
% 78.07/78.33  (step t1171.t4 (cl (= (not (tptp.rearsegP V U)) (not (tptp.rearsegP V U)))) :rule refl)
% 78.07/78.33  (step t1171.t5 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 78.07/78.33  (step t1171.t6 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 78.07/78.33  (step t1171.t7 (cl (= (= V U) (= U V))) :rule all_simplify)
% 78.07/78.33  (step t1171.t8 (cl (= (or (not (tptp.rearsegP U V)) (not (tptp.rearsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= V U)) (or (not (tptp.rearsegP U V)) (not (tptp.rearsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V)))) :rule cong :premises (t1171.t3 t1171.t4 t1171.t5 t1171.t6 t1171.t7))
% 78.07/78.33  (step t1171 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.rearsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= V U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.rearsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))))) :rule bind)
% 78.07/78.33  (step t1172 (cl (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.rearsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V)))) :rule resolution :premises (t1170 t1171 a127))
% 78.07/78.33  (step t1173 (cl (or (not (tptp.rearsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.rearsegP (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.ssList (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) :rule resolution :premises (t1169 t1172))
% 78.07/78.33  (step t1174 (cl (= (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t1018 t1029 t1044 t1062 t1152 t1173))
% 78.07/78.33  (step t1175 (cl (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t1016 t916 t1174))
% 78.07/78.33  (step t1176 (cl (not (= (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app W V))) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= U W))) (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) tptp.sk8))) (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app W V))) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= U W))) (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk8)) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))))) (not (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app W V))) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= U W))) (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) tptp.sk8)))) (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app W V))) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= U W))) (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk8)) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) :rule equiv_pos2)
% 78.07/78.33  (step t1177 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app W V))) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= U W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app W V))) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= U W))))) :rule refl)
% 78.07/78.33  (step t1178 (cl (= (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))))) :rule refl)
% 78.07/78.33  (step t1179 (cl (= (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) tptp.sk8) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) :rule all_simplify)
% 78.07/78.33  (step t1180 (cl (= (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) tptp.sk8)) (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk8)) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) :rule cong :premises (t1178 t275 t274 t244 t1179))
% 78.07/78.33  (step t1181 (cl (= (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app W V))) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= U W))) (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) tptp.sk8))) (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app W V))) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= U W))) (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk8)) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))))) :rule cong :premises (t1177 t1180))
% 78.07/78.33  (step t1182 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app W V))) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= U W))) (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) tptp.sk8))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app W V))) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= U W)))) :rule implies_neg1)
% 78.07/78.33  (anchor :step t1183)
% 78.07/78.33  (assume t1183.a0 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app W V))) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= U W))))
% 78.07/78.33  (step t1183.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app W V))) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= U W)))) (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) tptp.sk8)))) :rule forall_inst :args ((:= U (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (:= V (tptp.cons tptp.sk6 tptp.nil)) (:= W tptp.sk8)))
% 78.07/78.33  (step t1183.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app W V))) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= U W)))) (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) tptp.sk8))) :rule or :premises (t1183.t1))
% 78.07/78.33  (step t1183.t3 (cl (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) tptp.sk8))) :rule resolution :premises (t1183.t2 t1183.a0))
% 78.07/78.33  (step t1183 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app W V))) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= U W)))) (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) tptp.sk8))) :rule subproof :discharge (t1183.a0))
% 78.07/78.33  (step t1184 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app W V))) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= U W))) (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) tptp.sk8))) (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) tptp.sk8))) :rule resolution :premises (t1182 t1183))
% 78.07/78.33  (step t1185 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app W V))) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= U W))) (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) tptp.sk8))) (not (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) tptp.sk8)))) :rule implies_neg2)
% 78.07/78.33  (step t1186 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app W V))) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= U W))) (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) tptp.sk8))) (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app W V))) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= U W))) (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) tptp.sk8)))) :rule resolution :premises (t1184 t1185))
% 78.07/78.33  (step t1187 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app W V))) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= U W))) (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) tptp.sk8)))) :rule contraction :premises (t1186))
% 78.07/78.33  (step t1188 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app W V))) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= U W))) (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk8)) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) :rule resolution :premises (t1176 t1181 t1187))
% 78.07/78.33  (step t1189 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app W V))) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= U W)))) (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk8)) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) :rule implies :premises (t1188))
% 78.07/78.33  (step t1190 (cl (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk8 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk8)) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) :rule resolution :premises (t1189 a150))
% 78.07/78.33  (step t1191 (cl (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) :rule resolution :premises (t1001 a194 t100 t133 t1175 t1190))
% 78.07/78.33  (step t1192 (cl (not (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6))) :rule resolution :premises (t61 t183 t194 t217 t259 t289 t300 t961 t988 t999 t1191))
% 78.07/78.33  (step t1193 (cl (not (= (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk6 tptp.sk6))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8)))) (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (tptp.lt tptp.sk6 tptp.sk6) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8)))))) (not (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk6 tptp.sk6))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8))))) (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (tptp.lt tptp.sk6 tptp.sk6) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8))))) :rule equiv_pos2)
% 78.07/78.33  (step t1194 (cl (= (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8))))) :rule refl)
% 78.07/78.33  (step t1195 (cl (= (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk6 tptp.sk6))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8)))) (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (tptp.lt tptp.sk6 tptp.sk6) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8)))))) :rule cong :premises (t4 t14 t15 t16 t17 t18 t19 t20 t21 t22 t1194))
% 78.07/78.33  (step t1196 (cl (=> (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8)))) (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) :rule implies_neg1)
% 78.07/78.33  (anchor :step t1197)
% 78.07/78.33  (assume t1197.a0 (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)))
% 78.07/78.33  (assume t1197.a1 (not (tptp.lt tptp.sk6 tptp.sk6)))
% 78.07/78.33  (assume t1197.a2 (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))))
% 78.07/78.33  (assume t1197.a3 (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))
% 78.07/78.33  (assume t1197.a4 (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))))
% 78.07/78.33  (assume t1197.a5 (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))))
% 78.07/78.33  (assume t1197.a6 (= tptp.sk6 tptp.sk11))
% 78.07/78.33  (assume t1197.a7 (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))
% 78.07/78.33  (assume t1197.a8 (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))))
% 78.07/78.33  (assume t1197.a9 (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))
% 78.07/78.33  (step t1197.t1 (cl (=> (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8)))) (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) :rule implies_neg1)
% 78.07/78.33  (anchor :step t1197.t2)
% 78.07/78.33  (assume t1197.t2.a0 (not (tptp.lt tptp.sk6 tptp.sk6)))
% 78.07/78.33  (assume t1197.t2.a1 (= tptp.sk6 tptp.sk11))
% 78.07/78.33  (assume t1197.t2.a2 (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))))
% 78.07/78.33  (assume t1197.t2.a3 (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)))
% 78.07/78.33  (assume t1197.t2.a4 (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))))
% 78.07/78.33  (assume t1197.t2.a5 (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))))
% 78.07/78.33  (assume t1197.t2.a6 (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))
% 78.07/78.33  (assume t1197.t2.a7 (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))
% 78.07/78.33  (assume t1197.t2.a8 (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))))
% 78.07/78.33  (assume t1197.t2.a9 (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))
% 78.07/78.33  (step t1197.t2.t1 (cl (= (= (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8)) false) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8))))) :rule equiv_simplify)
% 78.07/78.33  (step t1197.t2.t2 (cl (not (= (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8)) false)) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8)))) :rule equiv1 :premises (t1197.t2.t1))
% 78.07/78.33  (step t1197.t2.t3 (cl (= tptp.sk6 tptp.sk6)) :rule refl)
% 78.07/78.33  (step t1197.t2.t4 (cl (= (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.skaf83 tptp.sk8))) :rule symm :premises (t1197.t2.a9))
% 78.07/78.33  (step t1197.t2.t5 (cl (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) :rule symm :premises (t1197.t2.t4))
% 78.07/78.33  (step t1197.t2.t6 (cl (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) tptp.sk8)) :rule symm :premises (t1197.t2.a7))
% 78.07/78.33  (step t1197.t2.t7 (cl (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) :rule symm :premises (t1197.t2.t6))
% 78.07/78.33  (step t1197.t2.t8 (cl (= (tptp.skaf83 tptp.sk8) (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) :rule cong :premises (t1197.t2.t7))
% 78.07/78.33  (step t1197.t2.t9 (cl (= (tptp.skaf82 tptp.sk8) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) :rule cong :premises (t1197.t2.t7))
% 78.07/78.33  (step t1197.t2.t10 (cl (= (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) :rule cong :premises (t1197.t2.t8 t1197.t2.t9))
% 78.07/78.33  (step t1197.t2.t11 (cl (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) :rule symm :premises (t1197.t2.a8))
% 78.07/78.33  (step t1197.t2.t12 (cl (= (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)) tptp.sk8)) :rule trans :premises (t1197.t2.t10 t1197.t2.t11 t1197.t2.t6))
% 78.07/78.33  (step t1197.t2.t13 (cl (= (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.hd tptp.sk8))) :rule cong :premises (t1197.t2.t12))
% 78.07/78.33  (step t1197.t2.t14 (cl (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) :rule cong :premises (t1197.t2.t7))
% 78.07/78.33  (step t1197.t2.t15 (cl (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule symm :premises (t1197.t2.a6))
% 78.07/78.33  (step t1197.t2.t16 (cl (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule trans :premises (t1197.t2.t5 t1197.t2.t13 t1197.t2.t14 t1197.t2.t15))
% 78.07/78.33  (step t1197.t2.t17 (cl (= (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8)) (tptp.lt tptp.sk6 (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule cong :premises (t1197.t2.t3 t1197.t2.t16))
% 78.07/78.33  (step t1197.t2.t18 (cl (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) :rule symm :premises (t1197.t2.t15))
% 78.07/78.33  (step t1197.t2.t19 (cl (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) :rule symm :premises (t1197.t2.a5))
% 78.07/78.33  (step t1197.t2.t20 (cl (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) :rule symm :premises (t1197.t2.t19))
% 78.07/78.33  (step t1197.t2.t21 (cl (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) :rule symm :premises (t1197.t2.a4))
% 78.07/78.33  (step t1197.t2.t22 (cl (= (tptp.cons tptp.sk11 tptp.nil) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) :rule symm :premises (t1197.t2.a3))
% 78.07/78.33  (step t1197.t2.t23 (cl (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) :rule symm :premises (t1197.t2.t22))
% 78.07/78.33  (step t1197.t2.t24 (cl (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) :rule cong :premises (t1197.t2.t23))
% 78.07/78.33  (step t1197.t2.t25 (cl (= (tptp.hd (tptp.cons tptp.sk11 tptp.nil)) tptp.sk11)) :rule symm :premises (t1197.t2.a2))
% 78.07/78.33  (step t1197.t2.t26 (cl (= tptp.sk11 tptp.sk6)) :rule symm :premises (t1197.t2.a1))
% 78.07/78.33  (step t1197.t2.t27 (cl (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) tptp.sk6)) :rule trans :premises (t1197.t2.t18 t1197.t2.t20 t1197.t2.t21 t1197.t2.t24 t1197.t2.t25 t1197.t2.t26))
% 78.07/78.33  (step t1197.t2.t28 (cl (= (tptp.lt tptp.sk6 (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.lt tptp.sk6 tptp.sk6))) :rule cong :premises (t1197.t2.t3 t1197.t2.t27))
% 78.07/78.33  (step t1197.t2.t29 (cl (= (= (tptp.lt tptp.sk6 tptp.sk6) false) (not (tptp.lt tptp.sk6 tptp.sk6)))) :rule equiv_simplify)
% 78.07/78.33  (step t1197.t2.t30 (cl (= (tptp.lt tptp.sk6 tptp.sk6) false) (not (not (tptp.lt tptp.sk6 tptp.sk6)))) :rule equiv2 :premises (t1197.t2.t29))
% 78.07/78.33  (step t1197.t2.t31 (cl (not (not (not (tptp.lt tptp.sk6 tptp.sk6)))) (tptp.lt tptp.sk6 tptp.sk6)) :rule not_not)
% 78.07/78.33  (step t1197.t2.t32 (cl (= (tptp.lt tptp.sk6 tptp.sk6) false) (tptp.lt tptp.sk6 tptp.sk6)) :rule resolution :premises (t1197.t2.t30 t1197.t2.t31))
% 78.07/78.33  (step t1197.t2.t33 (cl (= (tptp.lt tptp.sk6 tptp.sk6) false)) :rule resolution :premises (t1197.t2.t32 t1197.t2.a0))
% 78.07/78.33  (step t1197.t2.t34 (cl (= (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8)) false)) :rule trans :premises (t1197.t2.t17 t1197.t2.t28 t1197.t2.t33))
% 78.07/78.33  (step t1197.t2.t35 (cl (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8)))) :rule resolution :premises (t1197.t2.t2 t1197.t2.t34))
% 78.07/78.33  (step t1197.t2 (cl (not (not (tptp.lt tptp.sk6 tptp.sk6))) (not (= tptp.sk6 tptp.sk11)) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8)))) :rule subproof :discharge (t1197.t2.a0 t1197.t2.a1 t1197.t2.a2 t1197.t2.a3 t1197.t2.a4 t1197.t2.a5 t1197.t2.a6 t1197.t2.a7 t1197.t2.a8 t1197.t2.a9))
% 78.07/78.33  (step t1197.t3 (cl (not (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (not (tptp.lt tptp.sk6 tptp.sk6))) :rule and_pos)
% 78.07/78.33  (step t1197.t4 (cl (not (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (= tptp.sk6 tptp.sk11)) :rule and_pos)
% 78.07/78.33  (step t1197.t5 (cl (not (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) :rule and_pos)
% 78.07/78.33  (step t1197.t6 (cl (not (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) :rule and_pos)
% 78.07/78.33  (step t1197.t7 (cl (not (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) :rule and_pos)
% 78.07/78.33  (step t1197.t8 (cl (not (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) :rule and_pos)
% 78.07/78.33  (step t1197.t9 (cl (not (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) :rule and_pos)
% 78.07/78.33  (step t1197.t10 (cl (not (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) :rule and_pos)
% 78.07/78.33  (step t1197.t11 (cl (not (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) :rule and_pos)
% 78.07/78.33  (step t1197.t12 (cl (not (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) :rule and_pos)
% 78.07/78.33  (step t1197.t13 (cl (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8))) (not (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (not (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (not (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (not (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (not (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (not (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (not (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (not (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (not (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (not (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))))) :rule resolution :premises (t1197.t2 t1197.t3 t1197.t4 t1197.t5 t1197.t6 t1197.t7 t1197.t8 t1197.t9 t1197.t10 t1197.t11 t1197.t12))
% 78.07/78.33  (step t1197.t14 (cl (not (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (not (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (not (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (not (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (not (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (not (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (not (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (not (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (not (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (not (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8)))) :rule reordering :premises (t1197.t13))
% 78.07/78.33  (step t1197.t15 (cl (not (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8)))) :rule contraction :premises (t1197.t14))
% 78.07/78.33  (step t1197.t16 (cl (=> (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8)))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8)))) :rule resolution :premises (t1197.t1 t1197.t15))
% 78.07/78.33  (step t1197.t17 (cl (=> (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8)))) (not (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8))))) :rule implies_neg2)
% 78.07/78.33  (step t1197.t18 (cl (=> (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8)))) (=> (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8))))) :rule resolution :premises (t1197.t16 t1197.t17))
% 78.07/78.33  (step t1197.t19 (cl (=> (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8))))) :rule contraction :premises (t1197.t18))
% 78.07/78.33  (step t1197.t20 (cl (not (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8)))) :rule implies :premises (t1197.t19))
% 78.07/78.33  (step t1197.t21 (cl (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (not (tptp.lt tptp.sk6 tptp.sk6))) (not (= tptp.sk6 tptp.sk11)) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) :rule and_neg)
% 78.07/78.33  (step t1197.t22 (cl (and (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk6 tptp.sk11) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) :rule resolution :premises (t1197.t21 t1197.a1 t1197.a6 t1197.a2 t1197.a0 t1197.a5 t1197.a4 t1197.a3 t1197.a9 t1197.a8 t1197.a7))
% 78.07/78.33  (step t1197.t23 (cl (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8)))) :rule resolution :premises (t1197.t20 t1197.t22))
% 78.07/78.33  (step t1197 (cl (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk6 tptp.sk6))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8)))) :rule subproof :discharge (t1197.a0 t1197.a1 t1197.a2 t1197.a3 t1197.a4 t1197.a5 t1197.a6 t1197.a7 t1197.a8 t1197.a9))
% 78.07/78.33  (step t1198 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) :rule and_pos)
% 78.07/78.33  (step t1199 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (tptp.lt tptp.sk6 tptp.sk6))) :rule and_pos)
% 78.07/78.33  (step t1200 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) :rule and_pos)
% 78.07/78.33  (step t1201 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) :rule and_pos)
% 78.07/78.33  (step t1202 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) :rule and_pos)
% 78.07/78.33  (step t1203 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) :rule and_pos)
% 78.07/78.33  (step t1204 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk6 tptp.sk11)) :rule and_pos)
% 78.07/78.33  (step t1205 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) :rule and_pos)
% 78.07/78.33  (step t1206 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) :rule and_pos)
% 78.07/78.33  (step t1207 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) :rule and_pos)
% 78.07/78.33  (step t1208 (cl (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) :rule resolution :premises (t1197 t1198 t1199 t1200 t1201 t1202 t1203 t1204 t1205 t1206 t1207))
% 78.07/78.33  (step t1209 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8)))) :rule reordering :premises (t1208))
% 78.08/78.33  (step t1210 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8)))) :rule contraction :premises (t1209))
% 78.08/78.33  (step t1211 (cl (=> (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8)))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8)))) :rule resolution :premises (t1196 t1210))
% 78.08/78.33  (step t1212 (cl (=> (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8)))) (not (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8))))) :rule implies_neg2)
% 78.08/78.33  (step t1213 (cl (=> (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8)))) (=> (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8))))) :rule resolution :premises (t1211 t1212))
% 78.08/78.33  (step t1214 (cl (=> (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8))))) :rule contraction :premises (t1213))
% 78.08/78.33  (step t1215 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (not (tptp.lt tptp.sk6 tptp.sk6)) (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk6 tptp.sk11) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8)))) :rule implies :premises (t1214))
% 78.08/78.33  (step t1216 (cl (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk6 tptp.sk6))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8)))) :rule resolution :premises (t25 t1215))
% 78.08/78.33  (step t1217 (cl (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk6 tptp.sk6))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8)))) (not (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))))) :rule or_neg)
% 78.08/78.33  (step t1218 (cl (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk6 tptp.sk6))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8)))) (not (not (not (tptp.lt tptp.sk6 tptp.sk6))))) :rule or_neg)
% 78.08/78.33  (step t1219 (cl (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk6 tptp.sk6))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8)))) (not (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))))) :rule or_neg)
% 78.08/78.33  (step t1220 (cl (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk6 tptp.sk6))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8)))) (not (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))))) :rule or_neg)
% 78.08/78.33  (step t1221 (cl (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk6 tptp.sk6))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8)))) (not (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))))) :rule or_neg)
% 78.08/78.33  (step t1222 (cl (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk6 tptp.sk6))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8)))) (not (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))))) :rule or_neg)
% 78.08/78.33  (step t1223 (cl (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk6 tptp.sk6))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8)))) (not (not (= tptp.sk6 tptp.sk11)))) :rule or_neg)
% 78.08/78.33  (step t1224 (cl (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk6 tptp.sk6))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8)))) (not (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))))) :rule or_neg)
% 78.08/78.33  (step t1225 (cl (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk6 tptp.sk6))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8)))) (not (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))))) :rule or_neg)
% 78.08/78.33  (step t1226 (cl (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk6 tptp.sk6))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8)))) (not (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) :rule or_neg)
% 78.08/78.33  (step t1227 (cl (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk6 tptp.sk6))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8)))) (not (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8))))) :rule or_neg)
% 78.08/78.33  (step t1228 (cl (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk6 tptp.sk6))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8)))) (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk6 tptp.sk6))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8)))) (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk6 tptp.sk6))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8)))) (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk6 tptp.sk6))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8)))) (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk6 tptp.sk6))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8)))) (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk6 tptp.sk6))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8)))) (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk6 tptp.sk6))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8)))) (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk6 tptp.sk6))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8)))) (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk6 tptp.sk6))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8)))) (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk6 tptp.sk6))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8)))) (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk6 tptp.sk6))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8))))) :rule resolution :premises (t1216 t1217 t1218 t1219 t1220 t1221 t1222 t1223 t1224 t1225 t1226 t1227))
% 78.08/78.33  (step t1229 (cl (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (not (tptp.lt tptp.sk6 tptp.sk6))) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8))))) :rule contraction :premises (t1228))
% 78.08/78.33  (step t1230 (cl (or (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (tptp.lt tptp.sk6 tptp.sk6) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8))))) :rule resolution :premises (t1193 t1195 t1229))
% 78.08/78.33  (step t1231 (cl (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (tptp.lt tptp.sk6 tptp.sk6) (not (= tptp.sk11 (tptp.hd (tptp.cons tptp.sk11 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk6 tptp.sk11)) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8)))) :rule or :premises (t1230))
% 78.08/78.33  (step t1232 (cl (not (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8)))) :rule resolution :premises (t1231 t183 t194 t217 t259 t289 t300 t961 t988 t999 t1191))
% 78.08/78.33  (step t1233 (cl (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil))) (not (= tptp.nil tptp.sk9)) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8)))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) :rule and_neg)
% 78.08/78.33  (step t1234 (cl (=> (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (tptp.strictorderP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) :rule implies_neg1)
% 78.08/78.33  (anchor :step t1235)
% 78.08/78.33  (assume t1235.a0 (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)))
% 78.08/78.33  (assume t1235.a1 (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)))
% 78.08/78.33  (assume t1235.a2 (= tptp.nil tptp.sk9))
% 78.08/78.33  (assume t1235.a3 (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))))
% 78.08/78.33  (assume t1235.a4 (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))
% 78.08/78.33  (assume t1235.a5 (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))))
% 78.08/78.33  (assume t1235.a6 (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))
% 78.08/78.33  (step t1235.t1 (cl (=> (and (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (tptp.strictorderP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) (and (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))))) :rule implies_neg1)
% 78.08/78.33  (anchor :step t1235.t2)
% 78.08/78.33  (assume t1235.t2.a0 (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)))
% 78.08/78.33  (assume t1235.t2.a1 (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)))
% 78.08/78.33  (assume t1235.t2.a2 (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))
% 78.08/78.33  (assume t1235.t2.a3 (= tptp.nil tptp.sk9))
% 78.08/78.33  (assume t1235.t2.a4 (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))))
% 78.08/78.33  (assume t1235.t2.a5 (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))
% 78.08/78.33  (assume t1235.t2.a6 (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))))
% 78.08/78.33  (step t1235.t2.t1 (cl (= (= (tptp.strictorderP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil))) true) (tptp.strictorderP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil))))) :rule equiv_simplify)
% 78.08/78.33  (step t1235.t2.t2 (cl (not (= (tptp.strictorderP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil))) true)) (tptp.strictorderP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) :rule equiv1 :premises (t1235.t2.t1))
% 78.08/78.33  (step t1235.t2.t3 (cl (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) :rule refl)
% 78.08/78.33  (step t1235.t2.t4 (cl (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) tptp.sk8)) :rule symm :premises (t1235.t2.a5))
% 78.08/78.33  (step t1235.t2.t5 (cl (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) :rule symm :premises (t1235.t2.t4))
% 78.08/78.33  (step t1235.t2.t6 (cl (= (tptp.skaf83 tptp.sk8) (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) :rule cong :premises (t1235.t2.t5))
% 78.08/78.33  (step t1235.t2.t7 (cl (= (tptp.skaf82 tptp.sk8) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) :rule cong :premises (t1235.t2.t5))
% 78.08/78.33  (step t1235.t2.t8 (cl (= (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) :rule cong :premises (t1235.t2.t6 t1235.t2.t7))
% 78.08/78.33  (step t1235.t2.t9 (cl (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) :rule symm :premises (t1235.t2.a6))
% 78.08/78.33  (step t1235.t2.t10 (cl (= (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)) tptp.sk8)) :rule trans :premises (t1235.t2.t8 t1235.t2.t9 t1235.t2.t4))
% 78.08/78.33  (step t1235.t2.t11 (cl (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) :rule cong :premises (t1235.t2.t3 t1235.t2.t10))
% 78.08/78.33  (step t1235.t2.t12 (cl (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) tptp.sk8)) :rule trans :premises (t1235.t2.t11 t1235.t2.t4))
% 78.08/78.33  (step t1235.t2.t13 (cl (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8)))) :rule trans :premises (t1235.t2.t12 t1235.t2.t5 t1235.t2.a4))
% 78.08/78.33  (step t1235.t2.t14 (cl (= (tptp.cons tptp.sk6 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))) :rule refl)
% 78.08/78.33  (step t1235.t2.t15 (cl (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8)) (tptp.cons tptp.sk6 tptp.nil)))) :rule cong :premises (t1235.t2.t13 t1235.t2.t14))
% 78.08/78.33  (step t1235.t2.t16 (cl (= (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) :rule symm :premises (t1235.t2.a4))
% 78.08/78.33  (step t1235.t2.t17 (cl (= (tptp.app (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) :rule cong :premises (t1235.t2.t16 t1235.t2.t14))
% 78.08/78.33  (step t1235.t2.t18 (cl (= tptp.sk9 tptp.nil)) :rule symm :premises (t1235.t2.a3))
% 78.08/78.33  (step t1235.t2.t19 (cl (= tptp.nil tptp.sk9)) :rule symm :premises (t1235.t2.t18))
% 78.08/78.33  (step t1235.t2.t20 (cl (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil) (tptp.app (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil) tptp.sk9))) :rule cong :premises (t1235.t2.a2 t1235.t2.t19))
% 78.08/78.33  (step t1235.t2.t21 (cl (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) :rule symm :premises (t1235.t2.a2))
% 78.08/78.33  (step t1235.t2.t22 (cl (= tptp.sk9 tptp.sk9)) :rule refl)
% 78.08/78.33  (step t1235.t2.t23 (cl (= (tptp.app (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil) tptp.sk9) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) :rule cong :premises (t1235.t2.t21 t1235.t2.t22))
% 78.08/78.33  (step t1235.t2.t24 (cl (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) :rule trans :premises (t1235.t2.t15 t1235.t2.t17 t1235.t2.a2 t1235.t2.t20 t1235.t2.t23))
% 78.08/78.33  (step t1235.t2.t25 (cl (= (tptp.strictorderP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil))) (tptp.strictorderP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) :rule cong :premises (t1235.t2.t24))
% 78.08/78.33  (step t1235.t2.t26 (cl (= (tptp.cons tptp.sk11 tptp.nil) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) :rule symm :premises (t1235.t2.a1))
% 78.08/78.33  (step t1235.t2.t27 (cl (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) :rule symm :premises (t1235.t2.t26))
% 78.08/78.33  (step t1235.t2.t28 (cl (= (tptp.strictorderP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)))) :rule cong :premises (t1235.t2.t27))
% 78.08/78.33  (step t1235.t2.t29 (cl (= (= (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)) true) (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)))) :rule equiv_simplify)
% 78.08/78.33  (step t1235.t2.t30 (cl (= (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)) true) (not (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)))) :rule equiv2 :premises (t1235.t2.t29))
% 78.08/78.33  (step t1235.t2.t31 (cl (= (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)) true)) :rule resolution :premises (t1235.t2.t30 t1235.t2.a0))
% 78.08/78.33  (step t1235.t2.t32 (cl (= (tptp.strictorderP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil))) true)) :rule trans :premises (t1235.t2.t25 t1235.t2.t28 t1235.t2.t31))
% 78.08/78.33  (step t1235.t2.t33 (cl (tptp.strictorderP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t1235.t2.t2 t1235.t2.t32))
% 78.08/78.33  (step t1235.t2 (cl (not (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil))) (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) (not (= tptp.nil tptp.sk9)) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8)))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (tptp.strictorderP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) :rule subproof :discharge (t1235.t2.a0 t1235.t2.a1 t1235.t2.a2 t1235.t2.a3 t1235.t2.a4 t1235.t2.a5 t1235.t2.a6))
% 78.08/78.33  (step t1235.t3 (cl (not (and (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))))) (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil))) :rule and_pos)
% 78.08/78.33  (step t1235.t4 (cl (not (and (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) :rule and_pos)
% 78.08/78.33  (step t1235.t5 (cl (not (and (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) :rule and_pos)
% 78.08/78.33  (step t1235.t6 (cl (not (and (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))))) (= tptp.nil tptp.sk9)) :rule and_pos)
% 78.08/78.33  (step t1235.t7 (cl (not (and (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8)))) :rule and_pos)
% 78.08/78.33  (step t1235.t8 (cl (not (and (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) :rule and_pos)
% 78.08/78.33  (step t1235.t9 (cl (not (and (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) :rule and_pos)
% 78.08/78.33  (step t1235.t10 (cl (tptp.strictorderP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil))) (not (and (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))))) (not (and (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))))) (not (and (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))))) (not (and (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))))) (not (and (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))))) (not (and (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))))) (not (and (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))))) :rule resolution :premises (t1235.t2 t1235.t3 t1235.t4 t1235.t5 t1235.t6 t1235.t7 t1235.t8 t1235.t9))
% 78.08/78.33  (step t1235.t11 (cl (not (and (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))))) (not (and (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))))) (not (and (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))))) (not (and (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))))) (not (and (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))))) (not (and (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))))) (not (and (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))))) (tptp.strictorderP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) :rule reordering :premises (t1235.t10))
% 78.08/78.34  (step t1235.t12 (cl (not (and (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))))) (tptp.strictorderP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) :rule contraction :premises (t1235.t11))
% 78.08/78.34  (step t1235.t13 (cl (=> (and (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (tptp.strictorderP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.strictorderP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t1235.t1 t1235.t12))
% 78.08/78.34  (step t1235.t14 (cl (=> (and (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (tptp.strictorderP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.strictorderP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil))))) :rule implies_neg2)
% 78.08/78.34  (step t1235.t15 (cl (=> (and (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (tptp.strictorderP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) (=> (and (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (tptp.strictorderP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t1235.t13 t1235.t14))
% 78.08/78.34  (step t1235.t16 (cl (=> (and (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (tptp.strictorderP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil))))) :rule contraction :premises (t1235.t15))
% 78.08/78.34  (step t1235.t17 (cl (not (and (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))))) (tptp.strictorderP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) :rule implies :premises (t1235.t16))
% 78.08/78.34  (step t1235.t18 (cl (and (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil))) (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) (not (= tptp.nil tptp.sk9)) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8)))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))))) :rule and_neg)
% 78.08/78.34  (step t1235.t19 (cl (and (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))))) :rule resolution :premises (t1235.t18 t1235.a1 t1235.a0 t1235.a4 t1235.a2 t1235.a3 t1235.a6 t1235.a5))
% 78.08/78.34  (step t1235.t20 (cl (tptp.strictorderP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t1235.t17 t1235.t19))
% 78.08/78.34  (step t1235 (cl (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil))) (not (= tptp.nil tptp.sk9)) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8)))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (tptp.strictorderP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) :rule subproof :discharge (t1235.a0 t1235.a1 t1235.a2 t1235.a3 t1235.a4 t1235.a5 t1235.a6))
% 78.08/78.34  (step t1236 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) :rule and_pos)
% 78.08/78.34  (step t1237 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil))) :rule and_pos)
% 78.08/78.34  (step t1238 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.nil tptp.sk9)) :rule and_pos)
% 78.08/78.34  (step t1239 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8)))) :rule and_pos)
% 78.08/78.34  (step t1240 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) :rule and_pos)
% 78.08/78.34  (step t1241 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) :rule and_pos)
% 78.08/78.34  (step t1242 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) :rule and_pos)
% 78.08/78.34  (step t1243 (cl (tptp.strictorderP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) :rule resolution :premises (t1235 t1236 t1237 t1238 t1239 t1240 t1241 t1242))
% 78.08/78.34  (step t1244 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (tptp.strictorderP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) :rule reordering :premises (t1243))
% 78.08/78.34  (step t1245 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (tptp.strictorderP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) :rule contraction :premises (t1244))
% 78.08/78.34  (step t1246 (cl (=> (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (tptp.strictorderP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.strictorderP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t1234 t1245))
% 78.08/78.34  (step t1247 (cl (=> (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (tptp.strictorderP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.strictorderP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil))))) :rule implies_neg2)
% 78.08/78.34  (step t1248 (cl (=> (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (tptp.strictorderP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) (=> (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (tptp.strictorderP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t1246 t1247))
% 78.08/78.34  (step t1249 (cl (=> (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (tptp.strictorderP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil))))) :rule contraction :premises (t1248))
% 78.08/78.34  (step t1250 (cl (not (and (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil)) (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (tptp.strictorderP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) :rule implies :premises (t1249))
% 78.08/78.34  (step t1251 (cl (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil))) (not (= tptp.nil tptp.sk9)) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8)))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (tptp.strictorderP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t1233 t1250))
% 78.08/78.34  (step t1252 (cl (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons tptp.sk11 tptp.nil))) (not (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil))) (not (= tptp.nil tptp.sk9)) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8)))) (tptp.strictorderP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) :rule reordering :premises (t1251))
% 78.08/78.34  (step t1253 (cl (not (or (not (tptp.ssItem tptp.sk11)) (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)))) (not (tptp.ssItem tptp.sk11)) (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil))) :rule or_pos)
% 78.08/78.34  (step t1254 (cl (not (tptp.ssItem tptp.sk11)) (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)) (not (or (not (tptp.ssItem tptp.sk11)) (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil))))) :rule reordering :premises (t1253))
% 78.08/78.34  (step t1255 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem tptp.sk11)) (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)))) (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderP (tptp.cons U tptp.nil))))) :rule implies_neg1)
% 78.08/78.34  (anchor :step t1256)
% 78.08/78.34  (assume t1256.a0 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderP (tptp.cons U tptp.nil)))))
% 78.08/78.34  (step t1256.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderP (tptp.cons U tptp.nil))))) (or (not (tptp.ssItem tptp.sk11)) (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil))))) :rule forall_inst :args ((:= U tptp.sk11)))
% 78.08/78.34  (step t1256.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderP (tptp.cons U tptp.nil))))) (or (not (tptp.ssItem tptp.sk11)) (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)))) :rule or :premises (t1256.t1))
% 78.08/78.34  (step t1256.t3 (cl (or (not (tptp.ssItem tptp.sk11)) (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)))) :rule resolution :premises (t1256.t2 t1256.a0))
% 78.08/78.34  (step t1256 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderP (tptp.cons U tptp.nil))))) (or (not (tptp.ssItem tptp.sk11)) (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)))) :rule subproof :discharge (t1256.a0))
% 78.08/78.34  (step t1257 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem tptp.sk11)) (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)))) (or (not (tptp.ssItem tptp.sk11)) (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)))) :rule resolution :premises (t1255 t1256))
% 78.08/78.34  (step t1258 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem tptp.sk11)) (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)))) (not (or (not (tptp.ssItem tptp.sk11)) (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil))))) :rule implies_neg2)
% 78.08/78.34  (step t1259 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem tptp.sk11)) (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)))) (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem tptp.sk11)) (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil))))) :rule resolution :premises (t1257 t1258))
% 78.08/78.34  (step t1260 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem tptp.sk11)) (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil))))) :rule contraction :premises (t1259))
% 78.08/78.34  (step t1261 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderP (tptp.cons U tptp.nil))))) (or (not (tptp.ssItem tptp.sk11)) (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)))) :rule implies :premises (t1260))
% 78.08/78.34  (step t1262 (cl (or (not (tptp.ssItem tptp.sk11)) (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil)))) :rule resolution :premises (t1261 a67))
% 78.08/78.34  (step t1263 (cl (tptp.strictorderP (tptp.cons tptp.sk11 tptp.nil))) :rule resolution :premises (t1254 t205 t1262))
% 78.08/78.34  (step t1264 (cl (not (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8)))) :rule or_pos)
% 78.08/78.34  (step t1265 (cl (not (tptp.ssList tptp.sk7)) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (not (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8)))))) :rule reordering :premises (t1264))
% 78.08/78.34  (step t1266 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U))))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U)))))) :rule implies_neg1)
% 78.08/78.34  (anchor :step t1267)
% 78.08/78.34  (assume t1267.a0 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U))))))
% 78.08/78.34  (step t1267.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U)))))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8)))))) :rule forall_inst :args ((:= U tptp.sk8) (:= V (tptp.cons tptp.sk5 tptp.nil)) (:= W tptp.sk7)))
% 78.08/78.34  (step t1267.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U)))))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))))) :rule or :premises (t1267.t1))
% 78.08/78.34  (step t1267.t3 (cl (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))))) :rule resolution :premises (t1267.t2 t1267.a0))
% 78.08/78.34  (step t1267 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U)))))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))))) :rule subproof :discharge (t1267.a0))
% 78.08/78.34  (step t1268 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U))))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))))) :rule resolution :premises (t1266 t1267))
% 78.08/78.34  (step t1269 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U))))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))))) (not (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8)))))) :rule implies_neg2)
% 78.08/78.34  (step t1270 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U))))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))))) (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U))))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8)))))) :rule resolution :premises (t1268 t1269))
% 78.08/78.34  (step t1271 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U))))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8)))))) :rule contraction :premises (t1270))
% 78.08/78.34  (step t1272 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U)))))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))))) :rule implies :premises (t1271))
% 78.08/78.34  (step t1273 (cl (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))))) :rule resolution :premises (t1272 a148))
% 78.08/78.34  (step t1274 (cl (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8)))) :rule resolution :premises (t1265 a193 a194 t115 t1273))
% 78.08/78.34  (step t1275 (cl (tptp.strictorderP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t1252 t183 t1263 t905 t1274 t941 t999 t1191))
% 78.08/78.34  (step t1276 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X) (tptp.lt X V))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.strictorderP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X) (tptp.lt X V)))) :rule implies_neg1)
% 78.08/78.34  (anchor :step t1277)
% 78.08/78.34  (assume t1277.a0 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X) (tptp.lt X V))))
% 78.08/78.34  (step t1277.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X) (tptp.lt X V)))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.strictorderP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8))))) :rule forall_inst :args ((:= U (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (:= V (tptp.skaf83 tptp.sk8)) (:= W (tptp.skaf82 tptp.sk8)) (:= X tptp.sk6) (:= Y tptp.nil)))
% 78.08/78.34  (step t1277.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X) (tptp.lt X V)))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.strictorderP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8)))) :rule or :premises (t1277.t1))
% 78.08/78.34  (step t1277.t3 (cl (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.strictorderP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8)))) :rule resolution :premises (t1277.t2 t1277.a0))
% 78.08/78.34  (step t1277 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X) (tptp.lt X V)))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.strictorderP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8)))) :rule subproof :discharge (t1277.a0))
% 78.08/78.34  (step t1278 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X) (tptp.lt X V))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.strictorderP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8)))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.strictorderP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8)))) :rule resolution :premises (t1276 t1277))
% 78.08/78.34  (step t1279 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X) (tptp.lt X V))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.strictorderP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8)))) (not (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.strictorderP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8))))) :rule implies_neg2)
% 78.08/78.34  (step t1280 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X) (tptp.lt X V))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.strictorderP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8)))) (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X) (tptp.lt X V))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.strictorderP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8))))) :rule resolution :premises (t1278 t1279))
% 78.08/78.34  (step t1281 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X) (tptp.lt X V))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.strictorderP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8))))) :rule contraction :premises (t1280))
% 78.08/78.34  (step t1282 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X) (tptp.lt X V)))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.strictorderP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8)))) :rule implies :premises (t1281))
% 78.08/78.34  (step t1283 (cl (not (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderP Z)) (not (tptp.ssList Z)) (tptp.lt V X) (tptp.lt X V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X) (tptp.lt X V))))) (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderP Z)) (not (tptp.ssList Z)) (tptp.lt V X) (tptp.lt X V)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X) (tptp.lt X V)))) :rule equiv_pos2)
% 78.08/78.34  (anchor :step t1284 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V) (W $$unsorted) (:= W W) (X $$unsorted) (:= X X) (Y $$unsorted) (:= Y Y) (Z $$unsorted) (:= Z Z)))
% 78.08/78.34  (step t1284.t1 (cl (= U U)) :rule refl)
% 78.08/78.34  (step t1284.t2 (cl (= V V)) :rule refl)
% 78.08/78.34  (step t1284.t3 (cl (= W W)) :rule refl)
% 78.08/78.34  (step t1284.t4 (cl (= X X)) :rule refl)
% 78.08/78.34  (step t1284.t5 (cl (= Y Y)) :rule refl)
% 78.08/78.34  (step t1284.t6 (cl (= Z Z)) :rule refl)
% 78.08/78.34  (step t1284.t7 (cl (= (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) Z) (= Z (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y))))) :rule all_simplify)
% 78.08/78.34  (step t1284.t8 (cl (= (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) Z)) (not (= Z (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))))) :rule cong :premises (t1284.t7))
% 78.08/78.34  (step t1284.t9 (cl (= (not (tptp.ssList Y)) (not (tptp.ssList Y)))) :rule refl)
% 78.08/78.34  (step t1284.t10 (cl (= (not (tptp.ssList W)) (not (tptp.ssList W)))) :rule refl)
% 78.08/78.34  (step t1284.t11 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 78.08/78.34  (step t1284.t12 (cl (= (not (tptp.ssItem X)) (not (tptp.ssItem X)))) :rule refl)
% 78.08/78.34  (step t1284.t13 (cl (= (not (tptp.ssItem V)) (not (tptp.ssItem V)))) :rule refl)
% 78.08/78.34  (step t1284.t14 (cl (= (not (tptp.strictorderP Z)) (not (tptp.strictorderP Z)))) :rule refl)
% 78.08/78.34  (step t1284.t15 (cl (= (not (tptp.ssList Z)) (not (tptp.ssList Z)))) :rule refl)
% 78.08/78.34  (step t1284.t16 (cl (= (tptp.lt V X) (tptp.lt V X))) :rule refl)
% 78.08/78.34  (step t1284.t17 (cl (= (tptp.lt X V) (tptp.lt X V))) :rule refl)
% 78.08/78.34  (step t1284.t18 (cl (= (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderP Z)) (not (tptp.ssList Z)) (tptp.lt V X) (tptp.lt X V)) (or (not (= Z (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderP Z)) (not (tptp.ssList Z)) (tptp.lt V X) (tptp.lt X V)))) :rule cong :premises (t1284.t8 t1284.t9 t1284.t10 t1284.t11 t1284.t12 t1284.t13 t1284.t14 t1284.t15 t1284.t16 t1284.t17))
% 78.08/78.34  (step t1284 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderP Z)) (not (tptp.ssList Z)) (tptp.lt V X) (tptp.lt X V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= Z (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderP Z)) (not (tptp.ssList Z)) (tptp.lt V X) (tptp.lt X V))))) :rule bind)
% 78.08/78.34  (step t1285 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= Z (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderP Z)) (not (tptp.ssList Z)) (tptp.lt V X) (tptp.lt X V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X) (tptp.lt X V))))) :rule all_simplify)
% 78.08/78.34  (anchor :step t1286 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V) (W $$unsorted) (:= W W) (X $$unsorted) (:= X X) (Y $$unsorted) (:= Y Y)))
% 78.08/78.34  (step t1286.t1 (cl (= U U)) :rule refl)
% 78.08/78.34  (step t1286.t2 (cl (= V V)) :rule refl)
% 78.08/78.34  (step t1286.t3 (cl (= W W)) :rule refl)
% 78.08/78.34  (step t1286.t4 (cl (= X X)) :rule refl)
% 78.08/78.34  (step t1286.t5 (cl (= Y Y)) :rule refl)
% 78.08/78.34  (step t1286.t6 (cl (= (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y))) true)) :rule all_simplify)
% 78.08/78.34  (step t1286.t7 (cl (= (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not true))) :rule cong :premises (t1286.t6))
% 78.08/78.34  (step t1286.t8 (cl (= (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) false)) :rule trans :premises (t1286.t7 t605))
% 78.08/78.34  (step t1286.t9 (cl (= (not (tptp.ssList Y)) (not (tptp.ssList Y)))) :rule refl)
% 78.08/78.34  (step t1286.t10 (cl (= (not (tptp.ssList W)) (not (tptp.ssList W)))) :rule refl)
% 78.08/78.34  (step t1286.t11 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 78.08/78.34  (step t1286.t12 (cl (= (not (tptp.ssItem X)) (not (tptp.ssItem X)))) :rule refl)
% 78.08/78.34  (step t1286.t13 (cl (= (not (tptp.ssItem V)) (not (tptp.ssItem V)))) :rule refl)
% 78.08/78.34  (step t1286.t14 (cl (= (not (tptp.strictorderP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.strictorderP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))))) :rule refl)
% 78.08/78.34  (step t1286.t15 (cl (= (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))))) :rule refl)
% 78.08/78.34  (step t1286.t16 (cl (= (tptp.lt V X) (tptp.lt V X))) :rule refl)
% 78.08/78.34  (step t1286.t17 (cl (= (tptp.lt X V) (tptp.lt X V))) :rule refl)
% 78.08/78.34  (step t1286.t18 (cl (= (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X) (tptp.lt X V)) (or false (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X) (tptp.lt X V)))) :rule cong :premises (t1286.t8 t1286.t9 t1286.t10 t1286.t11 t1286.t12 t1286.t13 t1286.t14 t1286.t15 t1286.t16 t1286.t17))
% 78.08/78.34  (step t1286.t19 (cl (= (or false (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X) (tptp.lt X V)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X) (tptp.lt X V)))) :rule all_simplify)
% 78.08/78.34  (step t1286.t20 (cl (= (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X) (tptp.lt X V)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X) (tptp.lt X V)))) :rule trans :premises (t1286.t18 t1286.t19))
% 78.08/78.34  (step t1286 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X) (tptp.lt X V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X) (tptp.lt X V))))) :rule bind)
% 78.08/78.34  (step t1287 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= Z (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderP Z)) (not (tptp.ssList Z)) (tptp.lt V X) (tptp.lt X V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X) (tptp.lt X V))))) :rule trans :premises (t1285 t1286))
% 78.08/78.34  (step t1288 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderP Z)) (not (tptp.ssList Z)) (tptp.lt V X) (tptp.lt X V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X) (tptp.lt X V))))) :rule trans :premises (t1284 t1287))
% 78.08/78.34  (step t1289 (cl (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X) (tptp.lt X V)))) :rule resolution :premises (t1283 t1288 a182))
% 78.08/78.34  (step t1290 (cl (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.strictorderP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.lt (tptp.skaf83 tptp.sk8) tptp.sk6) (tptp.lt tptp.sk6 (tptp.skaf83 tptp.sk8)))) :rule resolution :premises (t1282 t1289))
% 78.08/78.34  (step t1291 (cl (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (not (= tptp.nil tptp.sk9)) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8)))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) :rule and_neg)
% 78.08/78.34  (step t1292 (cl (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) :rule implies_neg1)
% 78.08/78.34  (anchor :step t1293)
% 78.08/78.34  (assume t1293.a0 (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))
% 78.08/78.34  (assume t1293.a1 (= tptp.nil tptp.sk9))
% 78.08/78.34  (assume t1293.a2 (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))))
% 78.08/78.34  (assume t1293.a3 (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))
% 78.08/78.34  (assume t1293.a4 (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))))
% 78.08/78.34  (assume t1293.a5 (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))
% 78.08/78.34  (step t1293.t1 (cl (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))))) :rule implies_neg1)
% 78.08/78.34  (anchor :step t1293.t2)
% 78.08/78.34  (assume t1293.t2.a0 (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))
% 78.08/78.34  (assume t1293.t2.a1 (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))
% 78.08/78.34  (assume t1293.t2.a2 (= tptp.nil tptp.sk9))
% 78.08/78.34  (assume t1293.t2.a3 (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))))
% 78.08/78.34  (assume t1293.t2.a4 (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))
% 78.08/78.34  (assume t1293.t2.a5 (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))))
% 78.08/78.34  (step t1293.t2.t1 (cl (= (= (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil))) true) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil))))) :rule equiv_simplify)
% 78.08/78.34  (step t1293.t2.t2 (cl (not (= (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil))) true)) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) :rule equiv1 :premises (t1293.t2.t1))
% 78.08/78.34  (step t1293.t2.t3 (cl (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) :rule refl)
% 78.08/78.34  (step t1293.t2.t4 (cl (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) tptp.sk8)) :rule symm :premises (t1293.t2.a4))
% 78.08/78.34  (step t1293.t2.t5 (cl (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) :rule symm :premises (t1293.t2.t4))
% 78.08/78.34  (step t1293.t2.t6 (cl (= (tptp.skaf83 tptp.sk8) (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) :rule cong :premises (t1293.t2.t5))
% 78.08/78.34  (step t1293.t2.t7 (cl (= (tptp.skaf82 tptp.sk8) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) :rule cong :premises (t1293.t2.t5))
% 78.08/78.34  (step t1293.t2.t8 (cl (= (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) :rule cong :premises (t1293.t2.t6 t1293.t2.t7))
% 78.08/78.34  (step t1293.t2.t9 (cl (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) :rule symm :premises (t1293.t2.a5))
% 78.08/78.34  (step t1293.t2.t10 (cl (= (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)) tptp.sk8)) :rule trans :premises (t1293.t2.t8 t1293.t2.t9 t1293.t2.t4))
% 78.08/78.34  (step t1293.t2.t11 (cl (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) :rule cong :premises (t1293.t2.t3 t1293.t2.t10))
% 78.08/78.34  (step t1293.t2.t12 (cl (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) tptp.sk8)) :rule trans :premises (t1293.t2.t11 t1293.t2.t4))
% 78.08/78.34  (step t1293.t2.t13 (cl (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8)))) :rule trans :premises (t1293.t2.t12 t1293.t2.t5 t1293.t2.a3))
% 78.08/78.34  (step t1293.t2.t14 (cl (= (tptp.cons tptp.sk6 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))) :rule refl)
% 78.08/78.34  (step t1293.t2.t15 (cl (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8)) (tptp.cons tptp.sk6 tptp.nil)))) :rule cong :premises (t1293.t2.t13 t1293.t2.t14))
% 78.08/78.34  (step t1293.t2.t16 (cl (= (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) :rule symm :premises (t1293.t2.a3))
% 78.08/78.34  (step t1293.t2.t17 (cl (= (tptp.app (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) :rule cong :premises (t1293.t2.t16 t1293.t2.t14))
% 78.08/78.34  (step t1293.t2.t18 (cl (= tptp.sk9 tptp.nil)) :rule symm :premises (t1293.t2.a2))
% 78.08/78.34  (step t1293.t2.t19 (cl (= tptp.nil tptp.sk9)) :rule symm :premises (t1293.t2.t18))
% 78.08/78.34  (step t1293.t2.t20 (cl (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil) (tptp.app (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil) tptp.sk9))) :rule cong :premises (t1293.t2.a1 t1293.t2.t19))
% 78.08/78.34  (step t1293.t2.t21 (cl (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) :rule symm :premises (t1293.t2.a1))
% 78.08/78.34  (step t1293.t2.t22 (cl (= tptp.sk9 tptp.sk9)) :rule refl)
% 78.08/78.34  (step t1293.t2.t23 (cl (= (tptp.app (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil) tptp.sk9) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) :rule cong :premises (t1293.t2.t21 t1293.t2.t22))
% 78.08/78.34  (step t1293.t2.t24 (cl (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) :rule trans :premises (t1293.t2.t15 t1293.t2.t17 t1293.t2.a1 t1293.t2.t20 t1293.t2.t23))
% 78.08/78.34  (step t1293.t2.t25 (cl (= (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) :rule cong :premises (t1293.t2.t24))
% 78.08/78.34  (step t1293.t2.t26 (cl (= (= (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) true) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) :rule equiv_simplify)
% 78.08/78.34  (step t1293.t2.t27 (cl (= (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) true) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) :rule equiv2 :premises (t1293.t2.t26))
% 78.08/78.34  (step t1293.t2.t28 (cl (= (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) true)) :rule resolution :premises (t1293.t2.t27 t1293.t2.a0))
% 78.08/78.34  (step t1293.t2.t29 (cl (= (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil))) true)) :rule trans :premises (t1293.t2.t25 t1293.t2.t28))
% 78.08/78.34  (step t1293.t2.t30 (cl (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t1293.t2.t2 t1293.t2.t29))
% 78.08/78.34  (step t1293.t2 (cl (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) (not (= tptp.nil tptp.sk9)) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8)))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) :rule subproof :discharge (t1293.t2.a0 t1293.t2.a1 t1293.t2.a2 t1293.t2.a3 t1293.t2.a4 t1293.t2.a5))
% 78.08/78.34  (step t1293.t3 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) :rule and_pos)
% 78.08/78.34  (step t1293.t4 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) :rule and_pos)
% 78.08/78.34  (step t1293.t5 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))))) (= tptp.nil tptp.sk9)) :rule and_pos)
% 78.08/78.34  (step t1293.t6 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8)))) :rule and_pos)
% 78.08/78.34  (step t1293.t7 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) :rule and_pos)
% 78.08/78.34  (step t1293.t8 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) :rule and_pos)
% 78.08/78.34  (step t1293.t9 (cl (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))))) :rule resolution :premises (t1293.t2 t1293.t3 t1293.t4 t1293.t5 t1293.t6 t1293.t7 t1293.t8))
% 78.08/78.34  (step t1293.t10 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) :rule reordering :premises (t1293.t9))
% 78.08/78.34  (step t1293.t11 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) :rule contraction :premises (t1293.t10))
% 78.08/78.34  (step t1293.t12 (cl (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t1293.t1 t1293.t11))
% 78.08/78.34  (step t1293.t13 (cl (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil))))) :rule implies_neg2)
% 78.08/78.34  (step t1293.t14 (cl (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t1293.t12 t1293.t13))
% 78.08/78.34  (step t1293.t15 (cl (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil))))) :rule contraction :premises (t1293.t14))
% 78.08/78.34  (step t1293.t16 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) :rule implies :premises (t1293.t15))
% 78.08/78.34  (step t1293.t17 (cl (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) (not (= tptp.nil tptp.sk9)) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8)))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))))) :rule and_neg)
% 78.08/78.34  (step t1293.t18 (cl (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))))) :rule resolution :premises (t1293.t17 t1293.a0 t1293.a3 t1293.a1 t1293.a2 t1293.a5 t1293.a4))
% 78.08/78.34  (step t1293.t19 (cl (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t1293.t16 t1293.t18))
% 78.08/78.34  (step t1293 (cl (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (not (= tptp.nil tptp.sk9)) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8)))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) :rule subproof :discharge (t1293.a0 t1293.a1 t1293.a2 t1293.a3 t1293.a4 t1293.a5))
% 78.08/78.34  (step t1294 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) :rule and_pos)
% 78.08/78.34  (step t1295 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.nil tptp.sk9)) :rule and_pos)
% 78.08/78.34  (step t1296 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8)))) :rule and_pos)
% 78.08/78.34  (step t1297 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) :rule and_pos)
% 78.08/78.34  (step t1298 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) :rule and_pos)
% 78.08/78.34  (step t1299 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) :rule and_pos)
% 78.08/78.34  (step t1300 (cl (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) :rule resolution :premises (t1293 t1294 t1295 t1296 t1297 t1298 t1299))
% 78.08/78.34  (step t1301 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) :rule reordering :premises (t1300))
% 78.08/78.34  (step t1302 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) :rule contraction :premises (t1301))
% 78.08/78.34  (step t1303 (cl (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t1292 t1302))
% 78.08/78.34  (step t1304 (cl (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil))))) :rule implies_neg2)
% 78.08/78.34  (step t1305 (cl (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t1303 t1304))
% 78.08/78.34  (step t1306 (cl (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil))))) :rule contraction :premises (t1305))
% 78.08/78.34  (step t1307 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (= tptp.nil tptp.sk9) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) :rule implies :premises (t1306))
% 78.08/78.34  (step t1308 (cl (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (not (= tptp.nil tptp.sk9)) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8)))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t1291 t1307))
% 78.08/78.34  (step t1309 (cl (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (not (= tptp.nil tptp.sk9)) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8)))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))))) (not (= tptp.sk8 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8)))) :rule reordering :premises (t1308))
% 78.08/78.34  (step t1310 (cl (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t1309 t526 t905 t1274 t941 t999 t1191))
% 78.08/78.34  (step t1311 (cl) :rule resolution :premises (t2 t1192 t1232 t971 t979 t1275 t1290 t1310 t124 a192 a7))
% 78.08/78.34  
% 78.08/78.34  % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.K0cR2KhV7D/cvc5---1.0.5_4759.smt2
% 78.08/78.35  % cvc5---1.0.5 exiting
% 78.08/78.35  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------