TSTP Solution File: SWC162-1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWC162-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n011.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 18:00:42 EDT 2024
% Result : Unsatisfiable 77.52s 77.73s
% Output : Proof 77.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.17 % Problem : SWC162-1 : TPTP v8.2.0. Released v2.4.0.
% 0.17/0.18 % Command : do_cvc5 %s %d
% 0.18/0.40 % Computer : n011.cluster.edu
% 0.18/0.40 % Model : x86_64 x86_64
% 0.18/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.40 % Memory : 8042.1875MB
% 0.18/0.40 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.40 % CPULimit : 300
% 0.18/0.40 % WCLimit : 300
% 0.18/0.40 % DateTime : Sun May 26 15:23:09 EDT 2024
% 0.18/0.40 % CPUTime :
% 0.26/0.56 %----Proving TF0_NAR, FOF, or CNF
% 0.26/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.56/10.79 --- Run --no-e-matching --full-saturate-quant at 5...
% 15.62/15.82 --- 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...
% 25.64/25.88 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 30.72/30.99 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 35.80/36.03 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 40.84/41.11 --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 46.16/46.40 --- Run --prenex-quant=none --full-saturate-quant at 5...
% 51.21/51.46 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 56.30/56.49 --- Run --relevant-triggers --full-saturate-quant at 5...
% 61.36/61.55 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 66.41/66.64 --- Run --pre-skolem-quant=on --full-saturate-quant at 10...
% 76.44/76.70 --- Run --cbqi-vo-exp --full-saturate-quant at 10...
% 77.52/77.73 % SZS status Unsatisfiable for /export/starexec/sandbox2/tmp/tmp.tOjaNV64sB/cvc5---1.0.5_11398.smt2
% 77.52/77.73 % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.tOjaNV64sB/cvc5---1.0.5_11398.smt2
% 77.64/77.82 (assume a0 (tptp.equalelemsP tptp.nil))
% 77.64/77.82 (assume a1 (tptp.duplicatefreeP tptp.nil))
% 77.64/77.82 (assume a2 (tptp.strictorderedP tptp.nil))
% 77.64/77.82 (assume a3 (tptp.totalorderedP tptp.nil))
% 77.64/77.82 (assume a4 (tptp.strictorderP tptp.nil))
% 77.64/77.82 (assume a5 (tptp.totalorderP tptp.nil))
% 77.64/77.82 (assume a6 (tptp.cyclefreeP tptp.nil))
% 77.64/77.82 (assume a7 (tptp.ssList tptp.nil))
% 77.64/77.82 (assume a8 (tptp.ssItem tptp.skac3))
% 77.64/77.82 (assume a9 (tptp.ssItem tptp.skac2))
% 77.64/77.82 (assume a10 (not (tptp.singletonP tptp.nil)))
% 77.64/77.82 (assume a11 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))))
% 77.64/77.82 (assume a12 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))))
% 77.64/77.82 (assume a13 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf81 U))))
% 77.64/77.82 (assume a14 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf80 U))))
% 77.64/77.82 (assume a15 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf79 U))))
% 77.64/77.82 (assume a16 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf78 U))))
% 77.64/77.82 (assume a17 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf77 U))))
% 77.64/77.82 (assume a18 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf76 U))))
% 77.64/77.82 (assume a19 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf75 U))))
% 77.64/77.82 (assume a20 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf74 U))))
% 77.64/77.82 (assume a21 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf73 U))))
% 77.64/77.82 (assume a22 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf72 U))))
% 77.64/77.82 (assume a23 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf71 U))))
% 77.64/77.82 (assume a24 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf70 U))))
% 77.64/77.82 (assume a25 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf69 U))))
% 77.64/77.82 (assume a26 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf68 U))))
% 77.64/77.82 (assume a27 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf67 U))))
% 77.64/77.82 (assume a28 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf66 U))))
% 77.64/77.82 (assume a29 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf65 U))))
% 77.64/77.82 (assume a30 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf64 U))))
% 77.64/77.82 (assume a31 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf63 U))))
% 77.64/77.82 (assume a32 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf62 U))))
% 77.64/77.82 (assume a33 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf61 U))))
% 77.64/77.82 (assume a34 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf60 U))))
% 77.64/77.82 (assume a35 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf59 U))))
% 77.64/77.82 (assume a36 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf58 U))))
% 77.64/77.82 (assume a37 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf57 U))))
% 77.64/77.82 (assume a38 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf56 U))))
% 77.64/77.82 (assume a39 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf55 U))))
% 77.64/77.82 (assume a40 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf54 U))))
% 77.64/77.82 (assume a41 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf53 U))))
% 77.64/77.82 (assume a42 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf52 U))))
% 77.64/77.82 (assume a43 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf51 U))))
% 77.64/77.82 (assume a44 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf50 U))))
% 77.64/77.82 (assume a45 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf49 U))))
% 77.64/77.82 (assume a46 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf44 U))))
% 77.64/77.82 (assume a47 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf48 U V))))
% 77.64/77.82 (assume a48 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf47 U V))))
% 77.64/77.82 (assume a49 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf46 U V))))
% 77.64/77.82 (assume a50 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf45 U V))))
% 77.64/77.82 (assume a51 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf43 U V))))
% 77.64/77.82 (assume a52 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf42 U V))))
% 77.64/77.82 (assume a53 (not (= tptp.skac3 tptp.skac2)))
% 77.64/77.82 (assume a54 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.geq U U))))
% 77.64/77.82 (assume a55 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U tptp.nil))))
% 77.64/77.82 (assume a56 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U))))
% 77.64/77.82 (assume a57 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.rearsegP U tptp.nil))))
% 77.64/77.82 (assume a58 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.rearsegP U U))))
% 77.64/77.82 (assume a59 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.frontsegP U tptp.nil))))
% 77.64/77.82 (assume a60 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.frontsegP U U))))
% 77.64/77.82 (assume a61 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.leq U U))))
% 77.64/77.82 (assume a62 (forall ((U $$unsorted)) (or (not (tptp.lt U U)) (not (tptp.ssItem U)))))
% 77.64/77.82 (assume a63 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.equalelemsP (tptp.cons U tptp.nil)))))
% 77.64/77.82 (assume a64 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.duplicatefreeP (tptp.cons U tptp.nil)))))
% 77.64/77.82 (assume a65 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U tptp.nil)))))
% 77.64/77.82 (assume a66 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U tptp.nil)))))
% 77.64/77.82 (assume a67 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderP (tptp.cons U tptp.nil)))))
% 77.64/77.82 (assume a68 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderP (tptp.cons U tptp.nil)))))
% 77.64/77.82 (assume a69 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.cyclefreeP (tptp.cons U tptp.nil)))))
% 77.64/77.82 (assume a70 (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U)))))
% 77.64/77.82 (assume a71 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (tptp.duplicatefreeP U) (tptp.ssItem V))))
% 77.64/77.82 (assume a72 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app U tptp.nil) U))))
% 77.64/77.82 (assume a73 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app tptp.nil U) U))))
% 77.64/77.82 (assume a74 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssList (tptp.tl U)) (= tptp.nil U))))
% 77.64/77.82 (assume a75 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))))
% 77.64/77.82 (assume a76 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssList (tptp.tl U)) (= tptp.nil U))))
% 77.64/77.82 (assume a77 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))))
% 77.64/77.82 (assume a78 (forall ((U $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (tptp.segmentP tptp.nil U))))
% 77.64/77.82 (assume a79 (forall ((U $$unsorted)) (or (not (tptp.segmentP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))))
% 77.64/77.82 (assume a80 (forall ((U $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (tptp.rearsegP tptp.nil U))))
% 77.64/77.82 (assume a81 (forall ((U $$unsorted)) (or (not (tptp.rearsegP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))))
% 77.64/77.82 (assume a82 (forall ((U $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (tptp.frontsegP tptp.nil U))))
% 77.64/77.82 (assume a83 (forall ((U $$unsorted)) (or (not (tptp.frontsegP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))))
% 77.64/77.82 (assume a84 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))))
% 77.64/77.82 (assume a85 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))))
% 77.64/77.82 (assume a86 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.cyclefreeP U) (tptp.leq (tptp.skaf50 U) (tptp.skaf49 U)))))
% 77.64/77.82 (assume a87 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.cyclefreeP U) (tptp.leq (tptp.skaf49 U) (tptp.skaf50 U)))))
% 77.64/77.82 (assume a88 (forall ((U $$unsorted)) (or (not (= (tptp.skaf79 U) (tptp.skaf78 U))) (not (tptp.ssList U)) (tptp.equalelemsP U))))
% 77.64/77.82 (assume a89 (forall ((U $$unsorted)) (or (not (tptp.lt (tptp.skaf69 U) (tptp.skaf70 U))) (not (tptp.ssList U)) (tptp.strictorderedP U))))
% 77.64/77.82 (assume a90 (forall ((U $$unsorted)) (or (not (tptp.leq (tptp.skaf64 U) (tptp.skaf65 U))) (not (tptp.ssList U)) (tptp.totalorderedP U))))
% 77.64/77.82 (assume a91 (forall ((U $$unsorted)) (or (not (tptp.lt (tptp.skaf60 U) (tptp.skaf59 U))) (not (tptp.ssList U)) (tptp.strictorderP U))))
% 77.64/77.82 (assume a92 (forall ((U $$unsorted)) (or (not (tptp.lt (tptp.skaf59 U) (tptp.skaf60 U))) (not (tptp.ssList U)) (tptp.strictorderP U))))
% 77.64/77.82 (assume a93 (forall ((U $$unsorted)) (or (not (tptp.leq (tptp.skaf55 U) (tptp.skaf54 U))) (not (tptp.ssList U)) (tptp.totalorderP U))))
% 77.64/77.82 (assume a94 (forall ((U $$unsorted)) (or (not (tptp.leq (tptp.skaf54 U) (tptp.skaf55 U))) (not (tptp.ssList U)) (tptp.totalorderP U))))
% 77.64/77.82 (assume a95 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.tl (tptp.cons U V)) V))))
% 77.64/77.82 (assume a96 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.hd (tptp.cons U V)) U))))
% 77.64/77.82 (assume a97 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U V) tptp.nil)) (not (tptp.ssItem U)) (not (tptp.ssList V)))))
% 77.64/77.82 (assume a98 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U V) V)) (not (tptp.ssItem U)) (not (tptp.ssList V)))))
% 77.64/77.82 (assume a99 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= V U))))
% 77.64/77.82 (assume a100 (forall ((U $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf44 U) tptp.nil) U))))
% 77.64/77.82 (assume a101 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= V U))))
% 77.64/77.82 (assume a102 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq U V))))
% 77.64/77.82 (assume a103 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.cons (tptp.hd U) (tptp.tl U)) U) (= tptp.nil U))))
% 77.64/77.82 (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))))
% 77.64/77.82 (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))))
% 77.64/77.82 (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))))
% 77.64/77.82 (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))))
% 77.64/77.82 (assume a108 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U)) U) (= tptp.nil U))))
% 77.64/77.82 (assume a109 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.gt U V)) (not (tptp.gt V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)))))
% 77.64/77.82 (assume a110 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= U V)) (not (tptp.lt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)))))
% 77.64/77.82 (assume a111 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (tptp.strictorderedP (tptp.cons V U)))))
% 77.64/77.82 (assume a112 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (tptp.totalorderedP (tptp.cons V U)))))
% 77.64/77.82 (assume a113 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.lt V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)))))
% 77.64/77.82 (assume a114 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= U V)) (not (tptp.neq U V)) (not (tptp.ssList V)) (not (tptp.ssList U)))))
% 77.64/77.82 (assume a115 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U tptp.nil) V)) (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.singletonP V))))
% 77.64/77.82 (assume a116 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= U V)) (not (tptp.neq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)))))
% 77.64/77.82 (assume a117 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.app U V) tptp.nil)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))))
% 77.64/77.82 (assume a118 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.app U V) tptp.nil)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))))
% 77.64/77.82 (assume a119 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))))
% 77.64/77.82 (assume a120 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt U V) (= U V))))
% 77.64/77.82 (assume a121 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt U V) (= U V))))
% 77.64/77.82 (assume a122 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))))
% 77.64/77.82 (assume a123 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.strictorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.strictorderedP V) (= tptp.nil V))))
% 77.64/77.82 (assume a124 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.totalorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.totalorderedP V) (= tptp.nil V))))
% 77.64/77.82 (assume a125 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.geq U V)) (not (tptp.geq V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (= V U))))
% 77.64/77.82 (assume a126 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.segmentP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= V U))))
% 77.64/77.82 (assume a127 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.rearsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= V U))))
% 77.64/77.82 (assume a128 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= V U))))
% 77.64/77.82 (assume a129 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (= V U))))
% 77.64/77.82 (assume a130 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app (tptp.skaf46 U V) V) U))))
% 77.64/77.82 (assume a131 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app V (tptp.skaf45 U V)) U))))
% 77.64/77.82 (assume a132 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.tl (tptp.app V U)) (tptp.app (tptp.tl V) U)))))
% 77.64/77.82 (assume a133 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.strictorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.lt U (tptp.hd V)) (= tptp.nil V))))
% 77.64/77.82 (assume a134 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.totalorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.leq U (tptp.hd V)) (= tptp.nil V))))
% 77.64/77.82 (assume a135 (forall ((U $$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))))
% 77.64/77.82 (assume a136 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.frontsegP (tptp.app U W) V))))
% 77.64/77.82 (assume a137 (forall ((U $$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))))
% 77.64/77.82 (assume a138 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (tptp.memberP (tptp.cons W U) V))))
% 77.64/77.82 (assume a139 (forall ((U $$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))))
% 77.64/77.82 (assume a140 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (tptp.memberP (tptp.app W U) V))))
% 77.64/77.82 (assume a141 (forall ((U $$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))))
% 77.64/77.82 (assume a142 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (tptp.rearsegP W V))))
% 77.64/77.82 (assume a143 (forall ((U $$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))))
% 77.64/77.82 (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))))
% 77.64/77.82 (assume a145 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.gt U V)) (not (tptp.gt V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.gt U W))))
% 77.64/77.82 (assume a146 (forall ((U $$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))))
% 77.64/77.82 (assume a147 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.geq U V)) (not (tptp.geq V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.geq U W))))
% 77.64/77.82 (assume a148 (forall ((U $$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))))))
% 77.64/77.82 (assume a149 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app U W))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (= V W))))
% 77.64/77.82 (assume a150 (forall ((U $$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))))
% 77.64/77.82 (assume a151 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.segmentP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP U W))))
% 77.64/77.82 (assume a152 (forall ((U $$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))))
% 77.64/77.82 (assume a153 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.frontsegP U W))))
% 77.64/77.82 (assume a154 (forall ((U $$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))))
% 77.64/77.82 (assume a155 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq U W))))
% 77.64/77.82 (assume a156 (forall ((U $$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)))))
% 77.64/77.82 (assume a157 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.app U V) W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (tptp.memberP V W) (tptp.memberP U W))))
% 77.64/77.82 (assume a158 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U (tptp.hd V))) (not (tptp.totalorderedP V)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U V)) (= tptp.nil V))))
% 77.64/77.82 (assume a159 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U (tptp.hd V))) (not (tptp.strictorderedP V)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U V)) (= tptp.nil V))))
% 77.64/77.82 (assume a160 (forall ((U $$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))))
% 77.64/77.82 (assume a161 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.duplicatefreeP U) (= (tptp.app (tptp.app (tptp.skaf75 U) (tptp.cons (tptp.skaf74 U) (tptp.skaf76 U))) (tptp.cons (tptp.skaf74 U) (tptp.skaf77 U))) U))))
% 77.64/77.82 (assume a162 (forall ((U $$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))))
% 77.64/77.82 (assume a163 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.totalorderedP U) (= (tptp.app (tptp.app (tptp.skaf66 U) (tptp.cons (tptp.skaf64 U) (tptp.skaf67 U))) (tptp.cons (tptp.skaf65 U) (tptp.skaf68 U))) U))))
% 77.64/77.82 (assume a164 (forall ((U $$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))))
% 77.64/77.82 (assume a165 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.totalorderP U) (= (tptp.app (tptp.app (tptp.skaf56 U) (tptp.cons (tptp.skaf54 U) (tptp.skaf57 U))) (tptp.cons (tptp.skaf55 U) (tptp.skaf58 U))) U))))
% 77.64/77.82 (assume a166 (forall ((U $$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))))
% 77.64/77.82 (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))))
% 77.64/77.82 (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))))
% 77.64/77.82 (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))))
% 77.64/77.82 (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))))
% 77.64/77.82 (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))))
% 77.64/77.82 (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))))
% 77.64/77.82 (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))))
% 77.64/77.82 (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))))
% 77.64/77.82 (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))))
% 77.64/77.82 (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))))
% 77.64/77.82 (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)))))
% 77.64/77.82 (assume a178 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons V X)) Y)) (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.duplicatefreeP Y)) (not (tptp.ssList Y)))))
% 77.64/77.82 (assume a179 (forall ((U $$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))))
% 77.64/77.82 (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))))
% 77.64/77.82 (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))))
% 77.64/77.82 (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))))
% 77.64/77.82 (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))))
% 77.64/77.82 (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)))))
% 77.64/77.82 (assume a185 (tptp.ssList tptp.sk1))
% 77.64/77.82 (assume a186 (tptp.ssList tptp.sk2))
% 77.64/77.82 (assume a187 (tptp.ssList tptp.sk3))
% 77.64/77.82 (assume a188 (tptp.ssList tptp.sk4))
% 77.64/77.82 (assume a189 (= tptp.sk2 tptp.sk4))
% 77.64/77.82 (assume a190 (= tptp.sk1 tptp.sk3))
% 77.64/77.82 (assume a191 (tptp.segmentP tptp.sk4 tptp.sk3))
% 77.64/77.82 (assume a192 (tptp.ssItem tptp.sk5))
% 77.64/77.82 (assume a193 (tptp.ssItem tptp.sk6))
% 77.64/77.82 (assume a194 (tptp.ssList tptp.sk7))
% 77.64/77.82 (assume a195 (tptp.ssList tptp.sk8))
% 77.64/77.82 (assume a196 (tptp.ssList tptp.sk9))
% 77.64/77.82 (assume a197 (= (tptp.app (tptp.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))
% 77.64/77.82 (assume a198 (tptp.leq tptp.sk6 tptp.sk5))
% 77.64/77.82 (assume a199 (or (tptp.ssItem tptp.sk10) (not (tptp.leq tptp.sk5 tptp.sk6))))
% 77.64/77.82 (assume a200 (or (tptp.memberP tptp.sk8 tptp.sk10) (not (tptp.leq tptp.sk5 tptp.sk6))))
% 77.64/77.82 (assume a201 (or (not (tptp.leq tptp.sk5 tptp.sk10)) (not (tptp.leq tptp.sk10 tptp.sk6)) (not (tptp.leq tptp.sk5 tptp.sk6))))
% 77.64/77.82 (assume a202 (or (tptp.singletonP tptp.sk3) (not (tptp.neq tptp.sk4 tptp.nil))))
% 77.64/77.82 (step t1 (cl (not (= (or (not (= tptp.sk5 tptp.sk6)) (not (not (tptp.lt tptp.sk5 tptp.sk5))) (not (tptp.lt tptp.sk5 tptp.sk6))) (or (not (= tptp.sk5 tptp.sk6)) (tptp.lt tptp.sk5 tptp.sk5) (not (tptp.lt tptp.sk5 tptp.sk6))))) (not (or (not (= tptp.sk5 tptp.sk6)) (not (not (tptp.lt tptp.sk5 tptp.sk5))) (not (tptp.lt tptp.sk5 tptp.sk6)))) (or (not (= tptp.sk5 tptp.sk6)) (tptp.lt tptp.sk5 tptp.sk5) (not (tptp.lt tptp.sk5 tptp.sk6)))) :rule equiv_pos2)
% 77.64/77.82 (step t2 (cl (= (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk5 tptp.sk6)))) :rule refl)
% 77.64/77.82 (step t3 (cl (= (= (= (not (not (tptp.lt tptp.sk5 tptp.sk5))) (tptp.lt tptp.sk5 tptp.sk5)) true) (= (not (not (tptp.lt tptp.sk5 tptp.sk5))) (tptp.lt tptp.sk5 tptp.sk5)))) :rule equiv_simplify)
% 77.64/77.82 (step t4 (cl (not (= (= (not (not (tptp.lt tptp.sk5 tptp.sk5))) (tptp.lt tptp.sk5 tptp.sk5)) true)) (= (not (not (tptp.lt tptp.sk5 tptp.sk5))) (tptp.lt tptp.sk5 tptp.sk5))) :rule equiv1 :premises (t3))
% 77.64/77.82 (step t5 (cl (= (= (not (not (tptp.lt tptp.sk5 tptp.sk5))) (tptp.lt tptp.sk5 tptp.sk5)) (= (tptp.lt tptp.sk5 tptp.sk5) (not (not (tptp.lt tptp.sk5 tptp.sk5)))))) :rule all_simplify)
% 77.64/77.82 (step t6 (cl (= (tptp.lt tptp.sk5 tptp.sk5) (tptp.lt tptp.sk5 tptp.sk5))) :rule refl)
% 77.64/77.82 (step t7 (cl (= (not (not (tptp.lt tptp.sk5 tptp.sk5))) (tptp.lt tptp.sk5 tptp.sk5))) :rule all_simplify)
% 77.64/77.82 (step t8 (cl (= (= (tptp.lt tptp.sk5 tptp.sk5) (not (not (tptp.lt tptp.sk5 tptp.sk5)))) (= (tptp.lt tptp.sk5 tptp.sk5) (tptp.lt tptp.sk5 tptp.sk5)))) :rule cong :premises (t6 t7))
% 77.64/77.82 (step t9 (cl (= (= (tptp.lt tptp.sk5 tptp.sk5) (tptp.lt tptp.sk5 tptp.sk5)) true)) :rule all_simplify)
% 77.64/77.82 (step t10 (cl (= (= (tptp.lt tptp.sk5 tptp.sk5) (not (not (tptp.lt tptp.sk5 tptp.sk5)))) true)) :rule trans :premises (t8 t9))
% 77.64/77.82 (step t11 (cl (= (= (not (not (tptp.lt tptp.sk5 tptp.sk5))) (tptp.lt tptp.sk5 tptp.sk5)) true)) :rule trans :premises (t5 t10))
% 77.64/77.82 (step t12 (cl (= (not (not (tptp.lt tptp.sk5 tptp.sk5))) (tptp.lt tptp.sk5 tptp.sk5))) :rule resolution :premises (t4 t11))
% 77.64/77.82 (step t13 (cl (= (not (tptp.lt tptp.sk5 tptp.sk6)) (not (tptp.lt tptp.sk5 tptp.sk6)))) :rule refl)
% 77.64/77.82 (step t14 (cl (= (or (not (= tptp.sk5 tptp.sk6)) (not (not (tptp.lt tptp.sk5 tptp.sk5))) (not (tptp.lt tptp.sk5 tptp.sk6))) (or (not (= tptp.sk5 tptp.sk6)) (tptp.lt tptp.sk5 tptp.sk5) (not (tptp.lt tptp.sk5 tptp.sk6))))) :rule cong :premises (t2 t12 t13))
% 77.64/77.82 (step t15 (cl (not (= (=> (and (= tptp.sk5 tptp.sk6) (not (tptp.lt tptp.sk5 tptp.sk5)) (tptp.lt tptp.sk5 tptp.sk6)) (and (not (tptp.lt tptp.sk5 tptp.sk5)) (= tptp.sk5 tptp.sk6) (tptp.lt tptp.sk5 tptp.sk6))) (not (and (= tptp.sk5 tptp.sk6) (not (tptp.lt tptp.sk5 tptp.sk5)) (tptp.lt tptp.sk5 tptp.sk6))))) (not (=> (and (= tptp.sk5 tptp.sk6) (not (tptp.lt tptp.sk5 tptp.sk5)) (tptp.lt tptp.sk5 tptp.sk6)) (and (not (tptp.lt tptp.sk5 tptp.sk5)) (= tptp.sk5 tptp.sk6) (tptp.lt tptp.sk5 tptp.sk6)))) (not (and (= tptp.sk5 tptp.sk6) (not (tptp.lt tptp.sk5 tptp.sk5)) (tptp.lt tptp.sk5 tptp.sk6)))) :rule equiv_pos2)
% 77.64/77.82 (step t16 (cl (= (and (= tptp.sk5 tptp.sk6) (not (tptp.lt tptp.sk5 tptp.sk5)) (tptp.lt tptp.sk5 tptp.sk6)) (and (= tptp.sk5 tptp.sk6) (not (tptp.lt tptp.sk5 tptp.sk5)) (tptp.lt tptp.sk5 tptp.sk6)))) :rule refl)
% 77.64/77.82 (step t17 (cl (= (= (and (not (tptp.lt tptp.sk5 tptp.sk5)) (= tptp.sk5 tptp.sk6) (tptp.lt tptp.sk5 tptp.sk6)) false) (not (and (not (tptp.lt tptp.sk5 tptp.sk5)) (= tptp.sk5 tptp.sk6) (tptp.lt tptp.sk5 tptp.sk6))))) :rule equiv_simplify)
% 77.64/77.82 (step t18 (cl (= (and (not (tptp.lt tptp.sk5 tptp.sk5)) (= tptp.sk5 tptp.sk6) (tptp.lt tptp.sk5 tptp.sk6)) false) (not (not (and (not (tptp.lt tptp.sk5 tptp.sk5)) (= tptp.sk5 tptp.sk6) (tptp.lt tptp.sk5 tptp.sk6))))) :rule equiv2 :premises (t17))
% 77.64/77.82 (step t19 (cl (not (not (not (and (not (tptp.lt tptp.sk5 tptp.sk5)) (= tptp.sk5 tptp.sk6) (tptp.lt tptp.sk5 tptp.sk6))))) (and (not (tptp.lt tptp.sk5 tptp.sk5)) (= tptp.sk5 tptp.sk6) (tptp.lt tptp.sk5 tptp.sk6))) :rule not_not)
% 77.64/77.82 (step t20 (cl (= (and (not (tptp.lt tptp.sk5 tptp.sk5)) (= tptp.sk5 tptp.sk6) (tptp.lt tptp.sk5 tptp.sk6)) false) (and (not (tptp.lt tptp.sk5 tptp.sk5)) (= tptp.sk5 tptp.sk6) (tptp.lt tptp.sk5 tptp.sk6))) :rule resolution :premises (t18 t19))
% 77.64/77.82 (step t21 (cl (=> (and (not (tptp.lt tptp.sk5 tptp.sk5)) (= tptp.sk5 tptp.sk6) (tptp.lt tptp.sk5 tptp.sk6)) false) (and (not (tptp.lt tptp.sk5 tptp.sk5)) (= tptp.sk5 tptp.sk6) (tptp.lt tptp.sk5 tptp.sk6))) :rule implies_neg1)
% 77.64/77.82 (anchor :step t22)
% 77.64/77.82 (assume t22.a0 (not (tptp.lt tptp.sk5 tptp.sk5)))
% 77.64/77.82 (assume t22.a1 (= tptp.sk5 tptp.sk6))
% 77.64/77.82 (assume t22.a2 (tptp.lt tptp.sk5 tptp.sk6))
% 77.64/77.82 (step t22.t1 (cl (not (= (= true false) false)) (not (= true false)) false) :rule equiv_pos2)
% 77.64/77.82 (step t22.t2 (cl (= (= true false) false)) :rule all_simplify)
% 77.64/77.82 (step t22.t3 (cl (= (= (tptp.lt tptp.sk5 tptp.sk6) true) (tptp.lt tptp.sk5 tptp.sk6))) :rule equiv_simplify)
% 77.64/77.82 (step t22.t4 (cl (= (tptp.lt tptp.sk5 tptp.sk6) true) (not (tptp.lt tptp.sk5 tptp.sk6))) :rule equiv2 :premises (t22.t3))
% 77.64/77.82 (step t22.t5 (cl (= (tptp.lt tptp.sk5 tptp.sk6) true)) :rule resolution :premises (t22.t4 t22.a2))
% 77.64/77.82 (step t22.t6 (cl (= true (tptp.lt tptp.sk5 tptp.sk6))) :rule symm :premises (t22.t5))
% 77.64/77.82 (step t22.t7 (cl (= tptp.sk5 tptp.sk5)) :rule refl)
% 77.64/77.82 (step t22.t8 (cl (= tptp.sk6 tptp.sk5)) :rule symm :premises (t22.a1))
% 77.64/77.82 (step t22.t9 (cl (= (tptp.lt tptp.sk5 tptp.sk6) (tptp.lt tptp.sk5 tptp.sk5))) :rule cong :premises (t22.t7 t22.t8))
% 77.64/77.82 (step t22.t10 (cl (= (= (tptp.lt tptp.sk5 tptp.sk5) false) (not (tptp.lt tptp.sk5 tptp.sk5)))) :rule equiv_simplify)
% 77.64/77.82 (step t22.t11 (cl (= (tptp.lt tptp.sk5 tptp.sk5) false) (not (not (tptp.lt tptp.sk5 tptp.sk5)))) :rule equiv2 :premises (t22.t10))
% 77.64/77.82 (step t22.t12 (cl (not (not (not (tptp.lt tptp.sk5 tptp.sk5)))) (tptp.lt tptp.sk5 tptp.sk5)) :rule not_not)
% 77.64/77.82 (step t22.t13 (cl (= (tptp.lt tptp.sk5 tptp.sk5) false) (tptp.lt tptp.sk5 tptp.sk5)) :rule resolution :premises (t22.t11 t22.t12))
% 77.64/77.82 (step t22.t14 (cl (= (tptp.lt tptp.sk5 tptp.sk5) false)) :rule resolution :premises (t22.t13 t22.a0))
% 77.64/77.82 (step t22.t15 (cl (= true false)) :rule trans :premises (t22.t6 t22.t9 t22.t14))
% 77.64/77.82 (step t22.t16 (cl false) :rule resolution :premises (t22.t1 t22.t2 t22.t15))
% 77.64/77.82 (step t22 (cl (not (not (tptp.lt tptp.sk5 tptp.sk5))) (not (= tptp.sk5 tptp.sk6)) (not (tptp.lt tptp.sk5 tptp.sk6)) false) :rule subproof :discharge (t22.a0 t22.a1 t22.a2))
% 77.64/77.82 (step t23 (cl (not (and (not (tptp.lt tptp.sk5 tptp.sk5)) (= tptp.sk5 tptp.sk6) (tptp.lt tptp.sk5 tptp.sk6))) (not (tptp.lt tptp.sk5 tptp.sk5))) :rule and_pos)
% 77.64/77.82 (step t24 (cl (not (and (not (tptp.lt tptp.sk5 tptp.sk5)) (= tptp.sk5 tptp.sk6) (tptp.lt tptp.sk5 tptp.sk6))) (= tptp.sk5 tptp.sk6)) :rule and_pos)
% 77.64/77.82 (step t25 (cl (not (and (not (tptp.lt tptp.sk5 tptp.sk5)) (= tptp.sk5 tptp.sk6) (tptp.lt tptp.sk5 tptp.sk6))) (tptp.lt tptp.sk5 tptp.sk6)) :rule and_pos)
% 77.64/77.82 (step t26 (cl false (not (and (not (tptp.lt tptp.sk5 tptp.sk5)) (= tptp.sk5 tptp.sk6) (tptp.lt tptp.sk5 tptp.sk6))) (not (and (not (tptp.lt tptp.sk5 tptp.sk5)) (= tptp.sk5 tptp.sk6) (tptp.lt tptp.sk5 tptp.sk6))) (not (and (not (tptp.lt tptp.sk5 tptp.sk5)) (= tptp.sk5 tptp.sk6) (tptp.lt tptp.sk5 tptp.sk6)))) :rule resolution :premises (t22 t23 t24 t25))
% 77.64/77.82 (step t27 (cl (not (and (not (tptp.lt tptp.sk5 tptp.sk5)) (= tptp.sk5 tptp.sk6) (tptp.lt tptp.sk5 tptp.sk6))) (not (and (not (tptp.lt tptp.sk5 tptp.sk5)) (= tptp.sk5 tptp.sk6) (tptp.lt tptp.sk5 tptp.sk6))) (not (and (not (tptp.lt tptp.sk5 tptp.sk5)) (= tptp.sk5 tptp.sk6) (tptp.lt tptp.sk5 tptp.sk6))) false) :rule reordering :premises (t26))
% 77.64/77.82 (step t28 (cl (not (and (not (tptp.lt tptp.sk5 tptp.sk5)) (= tptp.sk5 tptp.sk6) (tptp.lt tptp.sk5 tptp.sk6))) false) :rule contraction :premises (t27))
% 77.64/77.82 (step t29 (cl (=> (and (not (tptp.lt tptp.sk5 tptp.sk5)) (= tptp.sk5 tptp.sk6) (tptp.lt tptp.sk5 tptp.sk6)) false) false) :rule resolution :premises (t21 t28))
% 77.64/77.82 (step t30 (cl (=> (and (not (tptp.lt tptp.sk5 tptp.sk5)) (= tptp.sk5 tptp.sk6) (tptp.lt tptp.sk5 tptp.sk6)) false) (not false)) :rule implies_neg2)
% 77.64/77.82 (step t31 (cl (=> (and (not (tptp.lt tptp.sk5 tptp.sk5)) (= tptp.sk5 tptp.sk6) (tptp.lt tptp.sk5 tptp.sk6)) false) (=> (and (not (tptp.lt tptp.sk5 tptp.sk5)) (= tptp.sk5 tptp.sk6) (tptp.lt tptp.sk5 tptp.sk6)) false)) :rule resolution :premises (t29 t30))
% 77.64/77.82 (step t32 (cl (=> (and (not (tptp.lt tptp.sk5 tptp.sk5)) (= tptp.sk5 tptp.sk6) (tptp.lt tptp.sk5 tptp.sk6)) false)) :rule contraction :premises (t31))
% 77.64/77.82 (step t33 (cl (= (=> (and (not (tptp.lt tptp.sk5 tptp.sk5)) (= tptp.sk5 tptp.sk6) (tptp.lt tptp.sk5 tptp.sk6)) false) (not (and (not (tptp.lt tptp.sk5 tptp.sk5)) (= tptp.sk5 tptp.sk6) (tptp.lt tptp.sk5 tptp.sk6))))) :rule implies_simplify)
% 77.64/77.82 (step t34 (cl (not (=> (and (not (tptp.lt tptp.sk5 tptp.sk5)) (= tptp.sk5 tptp.sk6) (tptp.lt tptp.sk5 tptp.sk6)) false)) (not (and (not (tptp.lt tptp.sk5 tptp.sk5)) (= tptp.sk5 tptp.sk6) (tptp.lt tptp.sk5 tptp.sk6)))) :rule equiv1 :premises (t33))
% 77.64/77.82 (step t35 (cl (not (and (not (tptp.lt tptp.sk5 tptp.sk5)) (= tptp.sk5 tptp.sk6) (tptp.lt tptp.sk5 tptp.sk6)))) :rule resolution :premises (t32 t34))
% 77.64/77.82 (step t36 (cl (= (and (not (tptp.lt tptp.sk5 tptp.sk5)) (= tptp.sk5 tptp.sk6) (tptp.lt tptp.sk5 tptp.sk6)) false)) :rule resolution :premises (t20 t35))
% 77.64/77.82 (step t37 (cl (= (=> (and (= tptp.sk5 tptp.sk6) (not (tptp.lt tptp.sk5 tptp.sk5)) (tptp.lt tptp.sk5 tptp.sk6)) (and (not (tptp.lt tptp.sk5 tptp.sk5)) (= tptp.sk5 tptp.sk6) (tptp.lt tptp.sk5 tptp.sk6))) (=> (and (= tptp.sk5 tptp.sk6) (not (tptp.lt tptp.sk5 tptp.sk5)) (tptp.lt tptp.sk5 tptp.sk6)) false))) :rule cong :premises (t16 t36))
% 77.64/77.82 (step t38 (cl (= (=> (and (= tptp.sk5 tptp.sk6) (not (tptp.lt tptp.sk5 tptp.sk5)) (tptp.lt tptp.sk5 tptp.sk6)) false) (not (and (= tptp.sk5 tptp.sk6) (not (tptp.lt tptp.sk5 tptp.sk5)) (tptp.lt tptp.sk5 tptp.sk6))))) :rule all_simplify)
% 77.64/77.82 (step t39 (cl (= (=> (and (= tptp.sk5 tptp.sk6) (not (tptp.lt tptp.sk5 tptp.sk5)) (tptp.lt tptp.sk5 tptp.sk6)) (and (not (tptp.lt tptp.sk5 tptp.sk5)) (= tptp.sk5 tptp.sk6) (tptp.lt tptp.sk5 tptp.sk6))) (not (and (= tptp.sk5 tptp.sk6) (not (tptp.lt tptp.sk5 tptp.sk5)) (tptp.lt tptp.sk5 tptp.sk6))))) :rule trans :premises (t37 t38))
% 77.64/77.82 (step t40 (cl (=> (and (= tptp.sk5 tptp.sk6) (not (tptp.lt tptp.sk5 tptp.sk5)) (tptp.lt tptp.sk5 tptp.sk6)) (and (not (tptp.lt tptp.sk5 tptp.sk5)) (= tptp.sk5 tptp.sk6) (tptp.lt tptp.sk5 tptp.sk6))) (and (= tptp.sk5 tptp.sk6) (not (tptp.lt tptp.sk5 tptp.sk5)) (tptp.lt tptp.sk5 tptp.sk6))) :rule implies_neg1)
% 77.64/77.82 (anchor :step t41)
% 77.64/77.82 (assume t41.a0 (= tptp.sk5 tptp.sk6))
% 77.64/77.82 (assume t41.a1 (not (tptp.lt tptp.sk5 tptp.sk5)))
% 77.64/77.82 (assume t41.a2 (tptp.lt tptp.sk5 tptp.sk6))
% 77.64/77.82 (step t41.t1 (cl (and (not (tptp.lt tptp.sk5 tptp.sk5)) (= tptp.sk5 tptp.sk6) (tptp.lt tptp.sk5 tptp.sk6)) (not (not (tptp.lt tptp.sk5 tptp.sk5))) (not (= tptp.sk5 tptp.sk6)) (not (tptp.lt tptp.sk5 tptp.sk6))) :rule and_neg)
% 77.64/77.82 (step t41.t2 (cl (and (not (tptp.lt tptp.sk5 tptp.sk5)) (= tptp.sk5 tptp.sk6) (tptp.lt tptp.sk5 tptp.sk6))) :rule resolution :premises (t41.t1 t41.a1 t41.a0 t41.a2))
% 77.64/77.82 (step t41 (cl (not (= tptp.sk5 tptp.sk6)) (not (not (tptp.lt tptp.sk5 tptp.sk5))) (not (tptp.lt tptp.sk5 tptp.sk6)) (and (not (tptp.lt tptp.sk5 tptp.sk5)) (= tptp.sk5 tptp.sk6) (tptp.lt tptp.sk5 tptp.sk6))) :rule subproof :discharge (t41.a0 t41.a1 t41.a2))
% 77.64/77.82 (step t42 (cl (not (and (= tptp.sk5 tptp.sk6) (not (tptp.lt tptp.sk5 tptp.sk5)) (tptp.lt tptp.sk5 tptp.sk6))) (= tptp.sk5 tptp.sk6)) :rule and_pos)
% 77.64/77.82 (step t43 (cl (not (and (= tptp.sk5 tptp.sk6) (not (tptp.lt tptp.sk5 tptp.sk5)) (tptp.lt tptp.sk5 tptp.sk6))) (not (tptp.lt tptp.sk5 tptp.sk5))) :rule and_pos)
% 77.64/77.82 (step t44 (cl (not (and (= tptp.sk5 tptp.sk6) (not (tptp.lt tptp.sk5 tptp.sk5)) (tptp.lt tptp.sk5 tptp.sk6))) (tptp.lt tptp.sk5 tptp.sk6)) :rule and_pos)
% 77.64/77.82 (step t45 (cl (and (not (tptp.lt tptp.sk5 tptp.sk5)) (= tptp.sk5 tptp.sk6) (tptp.lt tptp.sk5 tptp.sk6)) (not (and (= tptp.sk5 tptp.sk6) (not (tptp.lt tptp.sk5 tptp.sk5)) (tptp.lt tptp.sk5 tptp.sk6))) (not (and (= tptp.sk5 tptp.sk6) (not (tptp.lt tptp.sk5 tptp.sk5)) (tptp.lt tptp.sk5 tptp.sk6))) (not (and (= tptp.sk5 tptp.sk6) (not (tptp.lt tptp.sk5 tptp.sk5)) (tptp.lt tptp.sk5 tptp.sk6)))) :rule resolution :premises (t41 t42 t43 t44))
% 77.64/77.82 (step t46 (cl (not (and (= tptp.sk5 tptp.sk6) (not (tptp.lt tptp.sk5 tptp.sk5)) (tptp.lt tptp.sk5 tptp.sk6))) (not (and (= tptp.sk5 tptp.sk6) (not (tptp.lt tptp.sk5 tptp.sk5)) (tptp.lt tptp.sk5 tptp.sk6))) (not (and (= tptp.sk5 tptp.sk6) (not (tptp.lt tptp.sk5 tptp.sk5)) (tptp.lt tptp.sk5 tptp.sk6))) (and (not (tptp.lt tptp.sk5 tptp.sk5)) (= tptp.sk5 tptp.sk6) (tptp.lt tptp.sk5 tptp.sk6))) :rule reordering :premises (t45))
% 77.64/77.82 (step t47 (cl (not (and (= tptp.sk5 tptp.sk6) (not (tptp.lt tptp.sk5 tptp.sk5)) (tptp.lt tptp.sk5 tptp.sk6))) (and (not (tptp.lt tptp.sk5 tptp.sk5)) (= tptp.sk5 tptp.sk6) (tptp.lt tptp.sk5 tptp.sk6))) :rule contraction :premises (t46))
% 77.64/77.82 (step t48 (cl (=> (and (= tptp.sk5 tptp.sk6) (not (tptp.lt tptp.sk5 tptp.sk5)) (tptp.lt tptp.sk5 tptp.sk6)) (and (not (tptp.lt tptp.sk5 tptp.sk5)) (= tptp.sk5 tptp.sk6) (tptp.lt tptp.sk5 tptp.sk6))) (and (not (tptp.lt tptp.sk5 tptp.sk5)) (= tptp.sk5 tptp.sk6) (tptp.lt tptp.sk5 tptp.sk6))) :rule resolution :premises (t40 t47))
% 77.64/77.82 (step t49 (cl (=> (and (= tptp.sk5 tptp.sk6) (not (tptp.lt tptp.sk5 tptp.sk5)) (tptp.lt tptp.sk5 tptp.sk6)) (and (not (tptp.lt tptp.sk5 tptp.sk5)) (= tptp.sk5 tptp.sk6) (tptp.lt tptp.sk5 tptp.sk6))) (not (and (not (tptp.lt tptp.sk5 tptp.sk5)) (= tptp.sk5 tptp.sk6) (tptp.lt tptp.sk5 tptp.sk6)))) :rule implies_neg2)
% 77.64/77.82 (step t50 (cl (=> (and (= tptp.sk5 tptp.sk6) (not (tptp.lt tptp.sk5 tptp.sk5)) (tptp.lt tptp.sk5 tptp.sk6)) (and (not (tptp.lt tptp.sk5 tptp.sk5)) (= tptp.sk5 tptp.sk6) (tptp.lt tptp.sk5 tptp.sk6))) (=> (and (= tptp.sk5 tptp.sk6) (not (tptp.lt tptp.sk5 tptp.sk5)) (tptp.lt tptp.sk5 tptp.sk6)) (and (not (tptp.lt tptp.sk5 tptp.sk5)) (= tptp.sk5 tptp.sk6) (tptp.lt tptp.sk5 tptp.sk6)))) :rule resolution :premises (t48 t49))
% 77.64/77.82 (step t51 (cl (=> (and (= tptp.sk5 tptp.sk6) (not (tptp.lt tptp.sk5 tptp.sk5)) (tptp.lt tptp.sk5 tptp.sk6)) (and (not (tptp.lt tptp.sk5 tptp.sk5)) (= tptp.sk5 tptp.sk6) (tptp.lt tptp.sk5 tptp.sk6)))) :rule contraction :premises (t50))
% 77.64/77.82 (step t52 (cl (not (and (= tptp.sk5 tptp.sk6) (not (tptp.lt tptp.sk5 tptp.sk5)) (tptp.lt tptp.sk5 tptp.sk6)))) :rule resolution :premises (t15 t39 t51))
% 77.64/77.82 (step t53 (cl (not (= tptp.sk5 tptp.sk6)) (not (not (tptp.lt tptp.sk5 tptp.sk5))) (not (tptp.lt tptp.sk5 tptp.sk6))) :rule not_and :premises (t52))
% 77.64/77.82 (step t54 (cl (or (not (= tptp.sk5 tptp.sk6)) (not (not (tptp.lt tptp.sk5 tptp.sk5))) (not (tptp.lt tptp.sk5 tptp.sk6))) (not (not (= tptp.sk5 tptp.sk6)))) :rule or_neg)
% 77.64/77.82 (step t55 (cl (or (not (= tptp.sk5 tptp.sk6)) (not (not (tptp.lt tptp.sk5 tptp.sk5))) (not (tptp.lt tptp.sk5 tptp.sk6))) (not (not (not (tptp.lt tptp.sk5 tptp.sk5))))) :rule or_neg)
% 77.64/77.82 (step t56 (cl (or (not (= tptp.sk5 tptp.sk6)) (not (not (tptp.lt tptp.sk5 tptp.sk5))) (not (tptp.lt tptp.sk5 tptp.sk6))) (not (not (tptp.lt tptp.sk5 tptp.sk6)))) :rule or_neg)
% 77.64/77.82 (step t57 (cl (or (not (= tptp.sk5 tptp.sk6)) (not (not (tptp.lt tptp.sk5 tptp.sk5))) (not (tptp.lt tptp.sk5 tptp.sk6))) (or (not (= tptp.sk5 tptp.sk6)) (not (not (tptp.lt tptp.sk5 tptp.sk5))) (not (tptp.lt tptp.sk5 tptp.sk6))) (or (not (= tptp.sk5 tptp.sk6)) (not (not (tptp.lt tptp.sk5 tptp.sk5))) (not (tptp.lt tptp.sk5 tptp.sk6)))) :rule resolution :premises (t53 t54 t55 t56))
% 77.64/77.82 (step t58 (cl (or (not (= tptp.sk5 tptp.sk6)) (not (not (tptp.lt tptp.sk5 tptp.sk5))) (not (tptp.lt tptp.sk5 tptp.sk6)))) :rule contraction :premises (t57))
% 77.64/77.82 (step t59 (cl (or (not (= tptp.sk5 tptp.sk6)) (tptp.lt tptp.sk5 tptp.sk5) (not (tptp.lt tptp.sk5 tptp.sk6)))) :rule resolution :premises (t1 t14 t58))
% 77.64/77.82 (step t60 (cl (not (= tptp.sk5 tptp.sk6)) (tptp.lt tptp.sk5 tptp.sk5) (not (tptp.lt tptp.sk5 tptp.sk6))) :rule or :premises (t59))
% 77.64/77.82 (step t61 (cl (not (or (not (tptp.leq tptp.sk6 tptp.sk5)) (not (tptp.leq tptp.sk5 tptp.sk6)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (= tptp.sk5 tptp.sk6))) (not (tptp.leq tptp.sk6 tptp.sk5)) (not (tptp.leq tptp.sk5 tptp.sk6)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (= tptp.sk5 tptp.sk6)) :rule or_pos)
% 77.64/77.82 (step t62 (cl (not (tptp.leq tptp.sk5 tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssItem tptp.sk6)) (not (tptp.leq tptp.sk6 tptp.sk5)) (= tptp.sk5 tptp.sk6) (not (or (not (tptp.leq tptp.sk6 tptp.sk5)) (not (tptp.leq tptp.sk5 tptp.sk6)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (= tptp.sk5 tptp.sk6)))) :rule reordering :premises (t61))
% 77.64/77.82 (step t63 (cl (not (or (not (tptp.lt tptp.sk5 tptp.sk6)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.leq tptp.sk5 tptp.sk6))) (not (tptp.lt tptp.sk5 tptp.sk6)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.leq tptp.sk5 tptp.sk6)) :rule or_pos)
% 77.64/77.82 (step t64 (cl (tptp.leq tptp.sk5 tptp.sk6) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssItem tptp.sk6)) (not (tptp.lt tptp.sk5 tptp.sk6)) (not (or (not (tptp.lt tptp.sk5 tptp.sk6)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.leq tptp.sk5 tptp.sk6)))) :rule reordering :premises (t63))
% 77.64/77.82 (step t65 (cl (not (or (not (tptp.ssList (tptp.app tptp.nil tptp.sk9))) (not (tptp.ssList (tptp.app tptp.nil tptp.sk8))) (not (tptp.ssList tptp.sk7)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (not (tptp.strictorderedP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) (tptp.lt tptp.sk5 tptp.sk6))) (not (tptp.ssList (tptp.app tptp.nil tptp.sk9))) (not (tptp.ssList (tptp.app tptp.nil tptp.sk8))) (not (tptp.ssList tptp.sk7)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (not (tptp.strictorderedP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) (tptp.lt tptp.sk5 tptp.sk6)) :rule or_pos)
% 77.64/77.82 (step t66 (cl (not (tptp.ssItem tptp.sk5)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.sk7)) (tptp.lt tptp.sk5 tptp.sk6) (not (tptp.ssList (tptp.app tptp.nil tptp.sk8))) (not (tptp.ssList (tptp.app tptp.nil tptp.sk9))) (not (tptp.strictorderedP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) (not (or (not (tptp.ssList (tptp.app tptp.nil tptp.sk9))) (not (tptp.ssList (tptp.app tptp.nil tptp.sk8))) (not (tptp.ssList tptp.sk7)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (not (tptp.strictorderedP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) (tptp.lt tptp.sk5 tptp.sk6)))) :rule reordering :premises (t65))
% 77.64/77.82 (step t67 (cl (and (tptp.ssList tptp.sk8) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8))) (not (tptp.ssList tptp.sk8)) (not (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)))) :rule and_neg)
% 77.64/77.82 (step t68 (cl (=> (and (tptp.ssList tptp.sk8) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8))) (tptp.ssList (tptp.app tptp.nil tptp.sk8))) (and (tptp.ssList tptp.sk8) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)))) :rule implies_neg1)
% 77.64/77.82 (anchor :step t69)
% 77.64/77.82 (assume t69.a0 (tptp.ssList tptp.sk8))
% 77.64/77.82 (assume t69.a1 (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)))
% 77.64/77.82 (step t69.t1 (cl (=> (and (tptp.ssList tptp.sk8) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8))) (tptp.ssList (tptp.app tptp.nil tptp.sk8))) (and (tptp.ssList tptp.sk8) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)))) :rule implies_neg1)
% 77.64/77.82 (anchor :step t69.t2)
% 77.64/77.82 (assume t69.t2.a0 (tptp.ssList tptp.sk8))
% 77.64/77.82 (assume t69.t2.a1 (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)))
% 77.64/77.82 (step t69.t2.t1 (cl (= (= (tptp.ssList (tptp.app tptp.nil tptp.sk8)) true) (tptp.ssList (tptp.app tptp.nil tptp.sk8)))) :rule equiv_simplify)
% 77.64/77.82 (step t69.t2.t2 (cl (not (= (tptp.ssList (tptp.app tptp.nil tptp.sk8)) true)) (tptp.ssList (tptp.app tptp.nil tptp.sk8))) :rule equiv1 :premises (t69.t2.t1))
% 77.64/77.82 (step t69.t2.t3 (cl (= (tptp.app tptp.nil tptp.sk8) tptp.sk8)) :rule symm :premises (t69.t2.a1))
% 77.64/77.82 (step t69.t2.t4 (cl (= (tptp.ssList (tptp.app tptp.nil tptp.sk8)) (tptp.ssList tptp.sk8))) :rule cong :premises (t69.t2.t3))
% 77.64/77.82 (step t69.t2.t5 (cl (= (= (tptp.ssList tptp.sk8) true) (tptp.ssList tptp.sk8))) :rule equiv_simplify)
% 77.64/77.82 (step t69.t2.t6 (cl (= (tptp.ssList tptp.sk8) true) (not (tptp.ssList tptp.sk8))) :rule equiv2 :premises (t69.t2.t5))
% 77.64/77.82 (step t69.t2.t7 (cl (= (tptp.ssList tptp.sk8) true)) :rule resolution :premises (t69.t2.t6 t69.t2.a0))
% 77.64/77.82 (step t69.t2.t8 (cl (= (tptp.ssList (tptp.app tptp.nil tptp.sk8)) true)) :rule trans :premises (t69.t2.t4 t69.t2.t7))
% 77.64/77.82 (step t69.t2.t9 (cl (tptp.ssList (tptp.app tptp.nil tptp.sk8))) :rule resolution :premises (t69.t2.t2 t69.t2.t8))
% 77.64/77.82 (step t69.t2 (cl (not (tptp.ssList tptp.sk8)) (not (= tptp.sk8 (tptp.app tptp.nil tptp.sk8))) (tptp.ssList (tptp.app tptp.nil tptp.sk8))) :rule subproof :discharge (t69.t2.a0 t69.t2.a1))
% 77.64/77.82 (step t69.t3 (cl (not (and (tptp.ssList tptp.sk8) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)))) (tptp.ssList tptp.sk8)) :rule and_pos)
% 77.64/77.82 (step t69.t4 (cl (not (and (tptp.ssList tptp.sk8) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)))) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8))) :rule and_pos)
% 77.64/77.82 (step t69.t5 (cl (tptp.ssList (tptp.app tptp.nil tptp.sk8)) (not (and (tptp.ssList tptp.sk8) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)))) (not (and (tptp.ssList tptp.sk8) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8))))) :rule resolution :premises (t69.t2 t69.t3 t69.t4))
% 77.64/77.82 (step t69.t6 (cl (not (and (tptp.ssList tptp.sk8) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)))) (not (and (tptp.ssList tptp.sk8) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)))) (tptp.ssList (tptp.app tptp.nil tptp.sk8))) :rule reordering :premises (t69.t5))
% 77.64/77.82 (step t69.t7 (cl (not (and (tptp.ssList tptp.sk8) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)))) (tptp.ssList (tptp.app tptp.nil tptp.sk8))) :rule contraction :premises (t69.t6))
% 77.64/77.82 (step t69.t8 (cl (=> (and (tptp.ssList tptp.sk8) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8))) (tptp.ssList (tptp.app tptp.nil tptp.sk8))) (tptp.ssList (tptp.app tptp.nil tptp.sk8))) :rule resolution :premises (t69.t1 t69.t7))
% 77.64/77.82 (step t69.t9 (cl (=> (and (tptp.ssList tptp.sk8) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8))) (tptp.ssList (tptp.app tptp.nil tptp.sk8))) (not (tptp.ssList (tptp.app tptp.nil tptp.sk8)))) :rule implies_neg2)
% 77.64/77.82 (step t69.t10 (cl (=> (and (tptp.ssList tptp.sk8) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8))) (tptp.ssList (tptp.app tptp.nil tptp.sk8))) (=> (and (tptp.ssList tptp.sk8) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8))) (tptp.ssList (tptp.app tptp.nil tptp.sk8)))) :rule resolution :premises (t69.t8 t69.t9))
% 77.64/77.82 (step t69.t11 (cl (=> (and (tptp.ssList tptp.sk8) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8))) (tptp.ssList (tptp.app tptp.nil tptp.sk8)))) :rule contraction :premises (t69.t10))
% 77.64/77.82 (step t69.t12 (cl (not (and (tptp.ssList tptp.sk8) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)))) (tptp.ssList (tptp.app tptp.nil tptp.sk8))) :rule implies :premises (t69.t11))
% 77.64/77.82 (step t69.t13 (cl (and (tptp.ssList tptp.sk8) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8))) (not (tptp.ssList tptp.sk8)) (not (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)))) :rule and_neg)
% 77.64/77.82 (step t69.t14 (cl (and (tptp.ssList tptp.sk8) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)))) :rule resolution :premises (t69.t13 t69.a0 t69.a1))
% 77.64/77.82 (step t69.t15 (cl (tptp.ssList (tptp.app tptp.nil tptp.sk8))) :rule resolution :premises (t69.t12 t69.t14))
% 77.64/77.82 (step t69 (cl (not (tptp.ssList tptp.sk8)) (not (= tptp.sk8 (tptp.app tptp.nil tptp.sk8))) (tptp.ssList (tptp.app tptp.nil tptp.sk8))) :rule subproof :discharge (t69.a0 t69.a1))
% 77.64/77.82 (step t70 (cl (not (and (tptp.ssList tptp.sk8) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)))) (tptp.ssList tptp.sk8)) :rule and_pos)
% 77.64/77.82 (step t71 (cl (not (and (tptp.ssList tptp.sk8) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)))) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8))) :rule and_pos)
% 77.64/77.82 (step t72 (cl (tptp.ssList (tptp.app tptp.nil tptp.sk8)) (not (and (tptp.ssList tptp.sk8) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)))) (not (and (tptp.ssList tptp.sk8) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8))))) :rule resolution :premises (t69 t70 t71))
% 77.64/77.82 (step t73 (cl (not (and (tptp.ssList tptp.sk8) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)))) (not (and (tptp.ssList tptp.sk8) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)))) (tptp.ssList (tptp.app tptp.nil tptp.sk8))) :rule reordering :premises (t72))
% 77.64/77.82 (step t74 (cl (not (and (tptp.ssList tptp.sk8) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)))) (tptp.ssList (tptp.app tptp.nil tptp.sk8))) :rule contraction :premises (t73))
% 77.64/77.82 (step t75 (cl (=> (and (tptp.ssList tptp.sk8) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8))) (tptp.ssList (tptp.app tptp.nil tptp.sk8))) (tptp.ssList (tptp.app tptp.nil tptp.sk8))) :rule resolution :premises (t68 t74))
% 77.64/77.82 (step t76 (cl (=> (and (tptp.ssList tptp.sk8) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8))) (tptp.ssList (tptp.app tptp.nil tptp.sk8))) (not (tptp.ssList (tptp.app tptp.nil tptp.sk8)))) :rule implies_neg2)
% 77.64/77.82 (step t77 (cl (=> (and (tptp.ssList tptp.sk8) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8))) (tptp.ssList (tptp.app tptp.nil tptp.sk8))) (=> (and (tptp.ssList tptp.sk8) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8))) (tptp.ssList (tptp.app tptp.nil tptp.sk8)))) :rule resolution :premises (t75 t76))
% 77.64/77.82 (step t78 (cl (=> (and (tptp.ssList tptp.sk8) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8))) (tptp.ssList (tptp.app tptp.nil tptp.sk8)))) :rule contraction :premises (t77))
% 77.64/77.82 (step t79 (cl (not (and (tptp.ssList tptp.sk8) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)))) (tptp.ssList (tptp.app tptp.nil tptp.sk8))) :rule implies :premises (t78))
% 77.64/77.82 (step t80 (cl (not (tptp.ssList tptp.sk8)) (not (= tptp.sk8 (tptp.app tptp.nil tptp.sk8))) (tptp.ssList (tptp.app tptp.nil tptp.sk8))) :rule resolution :premises (t67 t79))
% 77.64/77.82 (step t81 (cl (not (or (not (tptp.ssList tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)))) (not (tptp.ssList tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8))) :rule or_pos)
% 77.64/77.82 (step t82 (cl (not (tptp.ssList tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (not (or (not (tptp.ssList tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8))))) :rule reordering :premises (t81))
% 77.64/77.82 (step t83 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) :rule implies_neg1)
% 77.64/77.82 (anchor :step t84)
% 77.64/77.82 (assume t84.a0 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))))
% 77.64/77.82 (step t84.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) (or (not (tptp.ssList tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8))))) :rule forall_inst :args ((:= U tptp.sk8)))
% 77.64/77.82 (step t84.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) (or (not (tptp.ssList tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)))) :rule or :premises (t84.t1))
% 77.64/77.82 (step t84.t3 (cl (or (not (tptp.ssList tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)))) :rule resolution :premises (t84.t2 t84.a0))
% 77.64/77.82 (step t84 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) (or (not (tptp.ssList tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)))) :rule subproof :discharge (t84.a0))
% 77.64/77.82 (step t85 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)))) (or (not (tptp.ssList tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)))) :rule resolution :premises (t83 t84))
% 77.64/77.82 (step t86 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)))) (not (or (not (tptp.ssList tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8))))) :rule implies_neg2)
% 77.64/77.82 (step t87 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)))) (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8))))) :rule resolution :premises (t85 t86))
% 77.64/77.82 (step t88 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8))))) :rule contraction :premises (t87))
% 77.64/77.82 (step t89 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) (or (not (tptp.ssList tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)))) :rule implies :premises (t88))
% 77.64/77.82 (step t90 (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)
% 77.64/77.82 (anchor :step t91 :args ((U $$unsorted) (:= U U)))
% 77.64/77.82 (step t91.t1 (cl (= U U)) :rule refl)
% 77.64/77.82 (step t91.t2 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 77.64/77.82 (step t91.t3 (cl (= (= (tptp.app tptp.nil U) U) (= U (tptp.app tptp.nil U)))) :rule all_simplify)
% 77.64/77.82 (step t91.t4 (cl (= (or (not (tptp.ssList U)) (= (tptp.app tptp.nil U) U)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) :rule cong :premises (t91.t2 t91.t3))
% 77.64/77.82 (step t91 (cl (= (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app tptp.nil U) U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))))) :rule bind)
% 77.64/77.82 (step t92 (cl (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) :rule resolution :premises (t90 t91 a73))
% 77.64/77.82 (step t93 (cl (or (not (tptp.ssList tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)))) :rule resolution :premises (t89 t92))
% 77.64/77.82 (step t94 (cl (= tptp.sk8 (tptp.app tptp.nil tptp.sk8))) :rule resolution :premises (t82 a195 t93))
% 77.64/77.82 (step t95 (cl (tptp.ssList (tptp.app tptp.nil tptp.sk8))) :rule resolution :premises (t80 a195 t94))
% 77.64/77.82 (step t96 (cl (and (tptp.ssList tptp.sk9) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9))) (not (tptp.ssList tptp.sk9)) (not (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))) :rule and_neg)
% 77.64/77.82 (step t97 (cl (=> (and (tptp.ssList tptp.sk9) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9))) (tptp.ssList (tptp.app tptp.nil tptp.sk9))) (and (tptp.ssList tptp.sk9) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))) :rule implies_neg1)
% 77.64/77.82 (anchor :step t98)
% 77.64/77.82 (assume t98.a0 (tptp.ssList tptp.sk9))
% 77.64/77.82 (assume t98.a1 (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))
% 77.64/77.82 (step t98.t1 (cl (=> (and (tptp.ssList tptp.sk9) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9))) (tptp.ssList (tptp.app tptp.nil tptp.sk9))) (and (tptp.ssList tptp.sk9) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))) :rule implies_neg1)
% 77.64/77.82 (anchor :step t98.t2)
% 77.64/77.82 (assume t98.t2.a0 (tptp.ssList tptp.sk9))
% 77.64/77.82 (assume t98.t2.a1 (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))
% 77.64/77.82 (step t98.t2.t1 (cl (= (= (tptp.ssList (tptp.app tptp.nil tptp.sk9)) true) (tptp.ssList (tptp.app tptp.nil tptp.sk9)))) :rule equiv_simplify)
% 77.64/77.82 (step t98.t2.t2 (cl (not (= (tptp.ssList (tptp.app tptp.nil tptp.sk9)) true)) (tptp.ssList (tptp.app tptp.nil tptp.sk9))) :rule equiv1 :premises (t98.t2.t1))
% 77.64/77.82 (step t98.t2.t3 (cl (= (tptp.app tptp.nil tptp.sk9) tptp.sk9)) :rule symm :premises (t98.t2.a1))
% 77.64/77.82 (step t98.t2.t4 (cl (= (tptp.ssList (tptp.app tptp.nil tptp.sk9)) (tptp.ssList tptp.sk9))) :rule cong :premises (t98.t2.t3))
% 77.64/77.82 (step t98.t2.t5 (cl (= (= (tptp.ssList tptp.sk9) true) (tptp.ssList tptp.sk9))) :rule equiv_simplify)
% 77.64/77.82 (step t98.t2.t6 (cl (= (tptp.ssList tptp.sk9) true) (not (tptp.ssList tptp.sk9))) :rule equiv2 :premises (t98.t2.t5))
% 77.64/77.82 (step t98.t2.t7 (cl (= (tptp.ssList tptp.sk9) true)) :rule resolution :premises (t98.t2.t6 t98.t2.a0))
% 77.64/77.82 (step t98.t2.t8 (cl (= (tptp.ssList (tptp.app tptp.nil tptp.sk9)) true)) :rule trans :premises (t98.t2.t4 t98.t2.t7))
% 77.64/77.82 (step t98.t2.t9 (cl (tptp.ssList (tptp.app tptp.nil tptp.sk9))) :rule resolution :premises (t98.t2.t2 t98.t2.t8))
% 77.64/77.82 (step t98.t2 (cl (not (tptp.ssList tptp.sk9)) (not (= tptp.sk9 (tptp.app tptp.nil tptp.sk9))) (tptp.ssList (tptp.app tptp.nil tptp.sk9))) :rule subproof :discharge (t98.t2.a0 t98.t2.a1))
% 77.64/77.82 (step t98.t3 (cl (not (and (tptp.ssList tptp.sk9) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))) (tptp.ssList tptp.sk9)) :rule and_pos)
% 77.64/77.82 (step t98.t4 (cl (not (and (tptp.ssList tptp.sk9) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9))) :rule and_pos)
% 77.64/77.82 (step t98.t5 (cl (tptp.ssList (tptp.app tptp.nil tptp.sk9)) (not (and (tptp.ssList tptp.sk9) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))) (not (and (tptp.ssList tptp.sk9) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9))))) :rule resolution :premises (t98.t2 t98.t3 t98.t4))
% 77.64/77.82 (step t98.t6 (cl (not (and (tptp.ssList tptp.sk9) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))) (not (and (tptp.ssList tptp.sk9) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))) (tptp.ssList (tptp.app tptp.nil tptp.sk9))) :rule reordering :premises (t98.t5))
% 77.64/77.82 (step t98.t7 (cl (not (and (tptp.ssList tptp.sk9) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))) (tptp.ssList (tptp.app tptp.nil tptp.sk9))) :rule contraction :premises (t98.t6))
% 77.64/77.82 (step t98.t8 (cl (=> (and (tptp.ssList tptp.sk9) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9))) (tptp.ssList (tptp.app tptp.nil tptp.sk9))) (tptp.ssList (tptp.app tptp.nil tptp.sk9))) :rule resolution :premises (t98.t1 t98.t7))
% 77.64/77.82 (step t98.t9 (cl (=> (and (tptp.ssList tptp.sk9) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9))) (tptp.ssList (tptp.app tptp.nil tptp.sk9))) (not (tptp.ssList (tptp.app tptp.nil tptp.sk9)))) :rule implies_neg2)
% 77.64/77.82 (step t98.t10 (cl (=> (and (tptp.ssList tptp.sk9) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9))) (tptp.ssList (tptp.app tptp.nil tptp.sk9))) (=> (and (tptp.ssList tptp.sk9) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9))) (tptp.ssList (tptp.app tptp.nil tptp.sk9)))) :rule resolution :premises (t98.t8 t98.t9))
% 77.64/77.82 (step t98.t11 (cl (=> (and (tptp.ssList tptp.sk9) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9))) (tptp.ssList (tptp.app tptp.nil tptp.sk9)))) :rule contraction :premises (t98.t10))
% 77.64/77.82 (step t98.t12 (cl (not (and (tptp.ssList tptp.sk9) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))) (tptp.ssList (tptp.app tptp.nil tptp.sk9))) :rule implies :premises (t98.t11))
% 77.64/77.82 (step t98.t13 (cl (and (tptp.ssList tptp.sk9) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9))) (not (tptp.ssList tptp.sk9)) (not (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))) :rule and_neg)
% 77.64/77.82 (step t98.t14 (cl (and (tptp.ssList tptp.sk9) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))) :rule resolution :premises (t98.t13 t98.a0 t98.a1))
% 77.64/77.82 (step t98.t15 (cl (tptp.ssList (tptp.app tptp.nil tptp.sk9))) :rule resolution :premises (t98.t12 t98.t14))
% 77.64/77.82 (step t98 (cl (not (tptp.ssList tptp.sk9)) (not (= tptp.sk9 (tptp.app tptp.nil tptp.sk9))) (tptp.ssList (tptp.app tptp.nil tptp.sk9))) :rule subproof :discharge (t98.a0 t98.a1))
% 77.64/77.82 (step t99 (cl (not (and (tptp.ssList tptp.sk9) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))) (tptp.ssList tptp.sk9)) :rule and_pos)
% 77.64/77.82 (step t100 (cl (not (and (tptp.ssList tptp.sk9) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9))) :rule and_pos)
% 77.64/77.82 (step t101 (cl (tptp.ssList (tptp.app tptp.nil tptp.sk9)) (not (and (tptp.ssList tptp.sk9) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))) (not (and (tptp.ssList tptp.sk9) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9))))) :rule resolution :premises (t98 t99 t100))
% 77.64/77.82 (step t102 (cl (not (and (tptp.ssList tptp.sk9) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))) (not (and (tptp.ssList tptp.sk9) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))) (tptp.ssList (tptp.app tptp.nil tptp.sk9))) :rule reordering :premises (t101))
% 77.64/77.82 (step t103 (cl (not (and (tptp.ssList tptp.sk9) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))) (tptp.ssList (tptp.app tptp.nil tptp.sk9))) :rule contraction :premises (t102))
% 77.64/77.82 (step t104 (cl (=> (and (tptp.ssList tptp.sk9) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9))) (tptp.ssList (tptp.app tptp.nil tptp.sk9))) (tptp.ssList (tptp.app tptp.nil tptp.sk9))) :rule resolution :premises (t97 t103))
% 77.64/77.82 (step t105 (cl (=> (and (tptp.ssList tptp.sk9) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9))) (tptp.ssList (tptp.app tptp.nil tptp.sk9))) (not (tptp.ssList (tptp.app tptp.nil tptp.sk9)))) :rule implies_neg2)
% 77.64/77.82 (step t106 (cl (=> (and (tptp.ssList tptp.sk9) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9))) (tptp.ssList (tptp.app tptp.nil tptp.sk9))) (=> (and (tptp.ssList tptp.sk9) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9))) (tptp.ssList (tptp.app tptp.nil tptp.sk9)))) :rule resolution :premises (t104 t105))
% 77.64/77.82 (step t107 (cl (=> (and (tptp.ssList tptp.sk9) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9))) (tptp.ssList (tptp.app tptp.nil tptp.sk9)))) :rule contraction :premises (t106))
% 77.64/77.82 (step t108 (cl (not (and (tptp.ssList tptp.sk9) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))) (tptp.ssList (tptp.app tptp.nil tptp.sk9))) :rule implies :premises (t107))
% 77.64/77.82 (step t109 (cl (not (tptp.ssList tptp.sk9)) (not (= tptp.sk9 (tptp.app tptp.nil tptp.sk9))) (tptp.ssList (tptp.app tptp.nil tptp.sk9))) :rule resolution :premises (t96 t108))
% 77.64/77.82 (step t110 (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)
% 77.64/77.82 (step t111 (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 (t110))
% 77.64/77.82 (step t112 (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)
% 77.64/77.82 (anchor :step t113)
% 77.64/77.82 (assume t113.a0 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))))
% 77.64/77.82 (step t113.t1 (cl (or (not (forall ((U $$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)))
% 77.64/77.82 (step t113.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) (or (not (tptp.ssList tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))) :rule or :premises (t113.t1))
% 77.64/77.82 (step t113.t3 (cl (or (not (tptp.ssList tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))) :rule resolution :premises (t113.t2 t113.a0))
% 77.64/77.82 (step t113 (cl (not (forall ((U $$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 (t113.a0))
% 77.64/77.82 (step t114 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))) (or (not (tptp.ssList tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))) :rule resolution :premises (t112 t113))
% 77.64/77.82 (step t115 (cl (=> (forall ((U $$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)
% 77.64/77.82 (step t116 (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 (t114 t115))
% 77.64/77.82 (step t117 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9))))) :rule contraction :premises (t116))
% 77.64/77.82 (step t118 (cl (not (forall ((U $$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 (t117))
% 77.64/77.82 (step t119 (cl (or (not (tptp.ssList tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))) :rule resolution :premises (t118 t92))
% 77.64/77.82 (step t120 (cl (= tptp.sk9 (tptp.app tptp.nil tptp.sk9))) :rule resolution :premises (t111 a196 t119))
% 77.64/77.82 (step t121 (cl (tptp.ssList (tptp.app tptp.nil tptp.sk9))) :rule resolution :premises (t109 a196 t120))
% 77.64/77.82 (step t122 (cl (and (= tptp.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.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.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8))) (not (= tptp.sk7 (tptp.app tptp.nil tptp.sk7))) (not (= tptp.sk8 (tptp.app tptp.nil tptp.sk8))) (not (= tptp.sk9 (tptp.app 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.skaf44 (tptp.app (tptp.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))) (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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (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.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.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.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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))) (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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)))) (not (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (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.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (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.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9))) (not (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)))) :rule and_neg)
% 77.64/77.82 (step t123 (cl (=> (and (= tptp.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.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.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8))) (tptp.strictorderedP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) (and (= tptp.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.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.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)))) :rule implies_neg1)
% 77.64/77.82 (anchor :step t124)
% 77.64/77.82 (assume t124.a0 (= tptp.sk7 (tptp.app tptp.nil tptp.sk7)))
% 77.64/77.82 (assume t124.a1 (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)))
% 77.64/77.82 (assume t124.a2 (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))
% 77.64/77.82 (assume t124.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.skaf44 (tptp.app (tptp.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)))
% 77.64/77.82 (assume t124.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))))
% 77.64/77.82 (assume t124.a5 (= (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))))
% 77.64/77.82 (assume t124.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.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))))
% 77.64/77.82 (assume t124.a7 (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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)))
% 77.64/77.82 (assume t124.a8 (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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))))
% 77.64/77.82 (assume t124.a9 (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))))))
% 77.64/77.82 (assume t124.a10 (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))))))
% 77.64/77.82 (assume t124.a11 (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)))
% 77.64/77.82 (assume t124.a12 (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)))
% 77.64/77.82 (step t124.t1 (cl (=> (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (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.strictorderedP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (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 implies_neg1)
% 77.64/77.82 (anchor :step t124.t2)
% 77.64/77.82 (assume t124.t2.a0 (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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)))
% 77.64/77.82 (assume t124.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))))
% 77.64/77.82 (assume t124.t2.a2 (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))))))
% 77.64/77.82 (assume t124.t2.a3 (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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))))
% 77.64/77.82 (assume t124.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.skaf44 (tptp.app (tptp.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)))
% 77.64/77.82 (assume t124.t2.a5 (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))))))
% 77.64/77.82 (assume t124.t2.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.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))))
% 77.64/77.82 (assume t124.t2.a7 (= (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))))
% 77.64/77.82 (assume t124.t2.a8 (= tptp.sk7 (tptp.app tptp.nil tptp.sk7)))
% 77.64/77.82 (assume t124.t2.a9 (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)))
% 77.64/77.82 (assume t124.t2.a10 (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)))
% 77.64/77.82 (assume t124.t2.a11 (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)))
% 77.64/77.82 (assume t124.t2.a12 (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))
% 77.64/77.82 (step t124.t2.t1 (cl (= (= (tptp.strictorderedP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9)))) true) (tptp.strictorderedP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9)))))) :rule equiv_simplify)
% 77.64/77.82 (step t124.t2.t2 (cl (not (= (tptp.strictorderedP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9)))) true)) (tptp.strictorderedP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) :rule equiv1 :premises (t124.t2.t1))
% 77.64/77.82 (step t124.t2.t3 (cl (= tptp.sk5 tptp.sk5)) :rule refl)
% 77.64/77.82 (step t124.t2.t4 (cl (= (tptp.app tptp.nil tptp.sk8) tptp.sk8)) :rule symm :premises (t124.t2.a10))
% 77.64/77.82 (step t124.t2.t5 (cl (= (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8)) (tptp.cons tptp.sk5 tptp.sk8))) :rule cong :premises (t124.t2.t3 t124.t2.t4))
% 77.64/77.82 (step t124.t2.t6 (cl (= (tptp.cons tptp.sk5 tptp.sk8) (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) :rule symm :premises (t124.t2.a9))
% 77.64/77.82 (step t124.t2.t7 (cl (= (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) :rule trans :premises (t124.t2.t5 t124.t2.t6))
% 77.64/77.82 (step t124.t2.t8 (cl (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.app (tptp.app tptp.nil tptp.sk7) (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8)))) :rule cong :premises (t124.t2.a8 t124.t2.t7))
% 77.64/77.82 (step t124.t2.t9 (cl (= (tptp.app tptp.nil tptp.sk7) tptp.sk7)) :rule symm :premises (t124.t2.a8))
% 77.64/77.82 (step t124.t2.t10 (cl (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) :rule refl)
% 77.64/77.82 (step t124.t2.t11 (cl (= (tptp.app (tptp.app tptp.nil tptp.sk7) (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8)))) :rule cong :premises (t124.t2.t9 t124.t2.t10))
% 77.64/77.82 (step t124.t2.t12 (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 (t124.t2.a7))
% 77.64/77.82 (step t124.t2.t13 (cl (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) :rule trans :premises (t124.t2.t8 t124.t2.t11 t124.t2.t12))
% 77.64/77.82 (step t124.t2.t14 (cl (= tptp.sk6 tptp.sk6)) :rule refl)
% 77.64/77.82 (step t124.t2.t15 (cl (= (tptp.app tptp.nil tptp.sk9) tptp.sk9)) :rule symm :premises (t124.t2.a12))
% 77.64/77.82 (step t124.t2.t16 (cl (= (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9)) (tptp.cons tptp.sk6 tptp.sk9))) :rule cong :premises (t124.t2.t14 t124.t2.t15))
% 77.64/77.82 (step t124.t2.t17 (cl (= (tptp.cons tptp.sk6 tptp.sk9) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) :rule symm :premises (t124.t2.a11))
% 77.64/77.82 (step t124.t2.t18 (cl (= (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) :rule trans :premises (t124.t2.t16 t124.t2.t17))
% 77.64/77.82 (step t124.t2.t19 (cl (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app 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 cong :premises (t124.t2.t13 t124.t2.t18))
% 77.64/77.82 (step t124.t2.t20 (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 (t124.t2.a6))
% 77.64/77.82 (step t124.t2.t21 (cl (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app 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 trans :premises (t124.t2.t19 t124.t2.t20))
% 77.64/77.82 (step t124.t2.t22 (cl (= (tptp.strictorderedP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil 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 (t124.t2.t21))
% 77.64/77.82 (step t124.t2.t23 (cl (= (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (tptp.skaf83 (tptp.app (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 (t124.t2.a2))
% 77.64/77.82 (step t124.t2.t24 (cl (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (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 (t124.t2.t23))
% 77.64/77.82 (step t124.t2.t25 (cl (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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 symm :premises (t124.t2.a1))
% 77.64/77.82 (step t124.t2.t26 (cl (= (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) 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)))) :rule cong :premises (t124.t2.t25))
% 77.64/77.82 (step t124.t2.t27 (cl (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) 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)))) :rule trans :premises (t124.t2.t24 t124.t2.t26))
% 77.64/77.82 (step t124.t2.t28 (cl (= (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (tptp.skaf82 (tptp.app (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 (t124.t2.a5))
% 77.64/77.82 (step t124.t2.t29 (cl (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (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 (t124.t2.t28))
% 77.64/77.82 (step t124.t2.t30 (cl (= (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (tptp.tl (tptp.app (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 (t124.t2.t25))
% 77.64/77.82 (step t124.t2.t31 (cl (= (tptp.cons (tptp.skaf44 (tptp.app (tptp.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 symm :premises (t124.t2.a4))
% 77.64/77.82 (step t124.t2.t32 (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.skaf44 (tptp.app (tptp.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))) :rule symm :premises (t124.t2.t31))
% 77.64/77.82 (step t124.t2.t33 (cl (= (tptp.tl (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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)))) :rule cong :premises (t124.t2.t32))
% 77.64/77.82 (step t124.t2.t34 (cl (= (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.nil)) :rule symm :premises (t124.t2.a3))
% 77.64/77.82 (step t124.t2.t35 (cl (= (tptp.skaf82 (tptp.app (tptp.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)) :rule trans :premises (t124.t2.t29 t124.t2.t30 t124.t2.t33 t124.t2.t34))
% 77.64/77.82 (step t124.t2.t36 (cl (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (tptp.cons (tptp.hd (tptp.app (tptp.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))) :rule cong :premises (t124.t2.t27 t124.t2.t35))
% 77.64/77.82 (step t124.t2.t37 (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.hd (tptp.app (tptp.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))) :rule trans :premises (t124.t2.a1 t124.t2.t36))
% 77.64/77.82 (step t124.t2.t38 (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.hd (tptp.app (tptp.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)))) :rule cong :premises (t124.t2.t37))
% 77.64/77.82 (step t124.t2.t39 (cl (= (= (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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)) true) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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)))) :rule equiv_simplify)
% 77.64/77.82 (step t124.t2.t40 (cl (= (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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)) true) (not (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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)))) :rule equiv2 :premises (t124.t2.t39))
% 77.64/77.82 (step t124.t2.t41 (cl (= (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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)) true)) :rule resolution :premises (t124.t2.t40 t124.t2.a0))
% 77.64/77.82 (step t124.t2.t42 (cl (= (tptp.strictorderedP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9)))) true)) :rule trans :premises (t124.t2.t22 t124.t2.t38 t124.t2.t41))
% 77.64/77.82 (step t124.t2.t43 (cl (tptp.strictorderedP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) :rule resolution :premises (t124.t2.t2 t124.t2.t42))
% 77.64/77.82 (step t124.t2 (cl (not (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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))) (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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (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.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (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.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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)))) (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.skaf44 (tptp.app (tptp.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))) (not (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (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.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.sk7 (tptp.app tptp.nil tptp.sk7))) (not (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8))) (not (= tptp.sk8 (tptp.app tptp.nil tptp.sk8))) (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))) (tptp.strictorderedP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) :rule subproof :discharge (t124.t2.a0 t124.t2.a1 t124.t2.a2 t124.t2.a3 t124.t2.a4 t124.t2.a5 t124.t2.a6 t124.t2.a7 t124.t2.a8 t124.t2.a9 t124.t2.a10 t124.t2.a11 t124.t2.a12))
% 77.64/77.82 (step t124.t3 (cl (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (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.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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))) :rule and_pos)
% 77.64/77.82 (step t124.t4 (cl (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (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.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (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)
% 77.64/77.82 (step t124.t5 (cl (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (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.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (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)
% 77.64/77.82 (step t124.t6 (cl (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (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.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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)))) :rule and_pos)
% 77.64/77.82 (step t124.t7 (cl (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (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.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons (tptp.skaf44 (tptp.app (tptp.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))) :rule and_pos)
% 77.64/77.82 (step t124.t8 (cl (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (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)
% 77.64/77.82 (step t124.t9 (cl (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (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.app (tptp.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)
% 77.64/77.82 (step t124.t10 (cl (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (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.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)
% 77.64/77.82 (step t124.t11 (cl (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (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.sk7 (tptp.app tptp.nil tptp.sk7))) :rule and_pos)
% 77.64/77.82 (step t124.t12 (cl (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (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.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8))) :rule and_pos)
% 77.64/77.82 (step t124.t13 (cl (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (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.sk8 (tptp.app tptp.nil tptp.sk8))) :rule and_pos)
% 77.64/77.82 (step t124.t14 (cl (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (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.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9))) :rule and_pos)
% 77.64/77.82 (step t124.t15 (cl (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (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.app tptp.nil tptp.sk9))) :rule and_pos)
% 77.64/77.82 (step t124.t16 (cl (tptp.strictorderedP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9)))) (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))) (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))) (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))) (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))) (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))) (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))) (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))) (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))) (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))) (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))) (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))) (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))) (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (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 resolution :premises (t124.t2 t124.t3 t124.t4 t124.t5 t124.t6 t124.t7 t124.t8 t124.t9 t124.t10 t124.t11 t124.t12 t124.t13 t124.t14 t124.t15))
% 77.64/77.82 (step t124.t17 (cl (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))) (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))) (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))) (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))) (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))) (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))) (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))) (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))) (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))) (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))) (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))) (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))) (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (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.strictorderedP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) :rule reordering :premises (t124.t16))
% 77.64/77.82 (step t124.t18 (cl (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (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.strictorderedP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) :rule contraction :premises (t124.t17))
% 77.64/77.82 (step t124.t19 (cl (=> (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (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.strictorderedP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) (tptp.strictorderedP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) :rule resolution :premises (t124.t1 t124.t18))
% 77.64/77.82 (step t124.t20 (cl (=> (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (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.strictorderedP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) (not (tptp.strictorderedP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9)))))) :rule implies_neg2)
% 77.64/77.82 (step t124.t21 (cl (=> (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (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.strictorderedP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) (=> (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (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.strictorderedP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9)))))) :rule resolution :premises (t124.t19 t124.t20))
% 77.64/77.82 (step t124.t22 (cl (=> (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (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.strictorderedP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9)))))) :rule contraction :premises (t124.t21))
% 77.64/77.82 (step t124.t23 (cl (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (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.strictorderedP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) :rule implies :premises (t124.t22))
% 77.64/77.82 (step t124.t24 (cl (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9))) (not (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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))) (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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (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.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (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.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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)))) (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.skaf44 (tptp.app (tptp.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))) (not (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (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.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.sk7 (tptp.app tptp.nil tptp.sk7))) (not (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8))) (not (= tptp.sk8 (tptp.app tptp.nil tptp.sk8))) (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)))) :rule and_neg)
% 77.64/77.82 (step t124.t25 (cl (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (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 resolution :premises (t124.t24 t124.a7 t124.a4 t124.a10 t124.a8 t124.a3 t124.a9 t124.a6 t124.a5 t124.a0 t124.a12 t124.a1 t124.a11 t124.a2))
% 77.64/77.82 (step t124.t26 (cl (tptp.strictorderedP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) :rule resolution :premises (t124.t23 t124.t25))
% 77.64/77.82 (step t124 (cl (not (= tptp.sk7 (tptp.app tptp.nil tptp.sk7))) (not (= tptp.sk8 (tptp.app tptp.nil tptp.sk8))) (not (= tptp.sk9 (tptp.app 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.skaf44 (tptp.app (tptp.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))) (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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (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.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.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.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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))) (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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)))) (not (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (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.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (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.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9))) (not (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8))) (tptp.strictorderedP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) :rule subproof :discharge (t124.a0 t124.a1 t124.a2 t124.a3 t124.a4 t124.a5 t124.a6 t124.a7 t124.a8 t124.a9 t124.a10 t124.a11 t124.a12))
% 77.64/77.82 (step t125 (cl (not (and (= tptp.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.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.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)))) (= tptp.sk7 (tptp.app tptp.nil tptp.sk7))) :rule and_pos)
% 77.64/77.82 (step t126 (cl (not (and (= tptp.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.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.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)))) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8))) :rule and_pos)
% 77.64/77.82 (step t127 (cl (not (and (= tptp.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.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.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9))) :rule and_pos)
% 77.64/77.82 (step t128 (cl (not (and (= tptp.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.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.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 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.skaf44 (tptp.app (tptp.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))) :rule and_pos)
% 77.64/77.82 (step t129 (cl (not (and (= tptp.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.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.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (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)
% 77.64/77.82 (step t130 (cl (not (and (= tptp.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.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.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 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)
% 77.64/77.82 (step t131 (cl (not (and (= tptp.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.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.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 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 and_pos)
% 77.64/77.82 (step t132 (cl (not (and (= tptp.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.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.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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))) :rule and_pos)
% 77.64/77.82 (step t133 (cl (not (and (= tptp.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.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.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)))) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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)))) :rule and_pos)
% 77.64/77.82 (step t134 (cl (not (and (= tptp.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.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.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (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)
% 77.64/77.82 (step t135 (cl (not (and (= tptp.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.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.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (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)
% 77.64/77.82 (step t136 (cl (not (and (= tptp.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.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.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9))) :rule and_pos)
% 77.64/77.82 (step t137 (cl (not (and (= tptp.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.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.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)))) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8))) :rule and_pos)
% 77.64/77.82 (step t138 (cl (tptp.strictorderedP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9)))) (not (and (= tptp.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.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.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)))) (not (and (= tptp.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.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.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)))) (not (and (= tptp.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.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.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)))) (not (and (= tptp.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.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.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)))) (not (and (= tptp.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.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.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)))) (not (and (= tptp.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.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.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)))) (not (and (= tptp.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.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.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)))) (not (and (= tptp.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.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.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)))) (not (and (= tptp.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.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.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)))) (not (and (= tptp.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.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.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)))) (not (and (= tptp.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.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.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)))) (not (and (= tptp.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.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.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)))) (not (and (= tptp.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.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.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8))))) :rule resolution :premises (t124 t125 t126 t127 t128 t129 t130 t131 t132 t133 t134 t135 t136 t137))
% 77.64/77.82 (step t139 (cl (not (and (= tptp.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.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.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)))) (not (and (= tptp.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.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.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)))) (not (and (= tptp.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.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.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)))) (not (and (= tptp.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.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.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)))) (not (and (= tptp.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.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.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)))) (not (and (= tptp.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.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.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)))) (not (and (= tptp.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.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.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)))) (not (and (= tptp.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.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.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)))) (not (and (= tptp.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.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.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)))) (not (and (= tptp.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.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.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)))) (not (and (= tptp.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.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.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)))) (not (and (= tptp.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.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.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)))) (not (and (= tptp.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.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.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)))) (tptp.strictorderedP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) :rule reordering :premises (t138))
% 77.64/77.82 (step t140 (cl (not (and (= tptp.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.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.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)))) (tptp.strictorderedP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) :rule contraction :premises (t139))
% 77.64/77.82 (step t141 (cl (=> (and (= tptp.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.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.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8))) (tptp.strictorderedP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) (tptp.strictorderedP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) :rule resolution :premises (t123 t140))
% 77.64/77.82 (step t142 (cl (=> (and (= tptp.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.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.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8))) (tptp.strictorderedP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) (not (tptp.strictorderedP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9)))))) :rule implies_neg2)
% 77.64/77.82 (step t143 (cl (=> (and (= tptp.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.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.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8))) (tptp.strictorderedP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) (=> (and (= tptp.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.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.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8))) (tptp.strictorderedP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9)))))) :rule resolution :premises (t141 t142))
% 77.64/77.82 (step t144 (cl (=> (and (= tptp.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.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.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8))) (tptp.strictorderedP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9)))))) :rule contraction :premises (t143))
% 77.64/77.82 (step t145 (cl (not (and (= tptp.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.skaf44 (tptp.app (tptp.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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.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.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.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)))) (tptp.strictorderedP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) :rule implies :premises (t144))
% 77.64/77.82 (step t146 (cl (not (= tptp.sk7 (tptp.app tptp.nil tptp.sk7))) (not (= tptp.sk8 (tptp.app tptp.nil tptp.sk8))) (not (= tptp.sk9 (tptp.app 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.skaf44 (tptp.app (tptp.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))) (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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (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.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.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.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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))) (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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)))) (not (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (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.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (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.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9))) (not (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8))) (tptp.strictorderedP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) :rule resolution :premises (t122 t145))
% 77.64/77.82 (step t147 (cl (not (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.nil tptp.sk7)))) (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.nil tptp.sk7))) :rule or_pos)
% 77.64/77.82 (step t148 (cl (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.nil tptp.sk7)) (not (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.nil tptp.sk7))))) :rule reordering :premises (t147))
% 77.64/77.82 (step t149 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.nil tptp.sk7)))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) :rule implies_neg1)
% 77.64/77.82 (anchor :step t150)
% 77.64/77.82 (assume t150.a0 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))))
% 77.64/77.82 (step t150.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.nil tptp.sk7))))) :rule forall_inst :args ((:= U tptp.sk7)))
% 77.64/77.82 (step t150.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.nil tptp.sk7)))) :rule or :premises (t150.t1))
% 77.64/77.82 (step t150.t3 (cl (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.nil tptp.sk7)))) :rule resolution :premises (t150.t2 t150.a0))
% 77.64/77.82 (step t150 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.nil tptp.sk7)))) :rule subproof :discharge (t150.a0))
% 77.64/77.82 (step t151 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.nil tptp.sk7)))) (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.nil tptp.sk7)))) :rule resolution :premises (t149 t150))
% 77.64/77.82 (step t152 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.nil tptp.sk7)))) (not (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.nil tptp.sk7))))) :rule implies_neg2)
% 77.64/77.82 (step t153 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.nil tptp.sk7)))) (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.nil tptp.sk7))))) :rule resolution :premises (t151 t152))
% 77.64/77.82 (step t154 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.nil tptp.sk7))))) :rule contraction :premises (t153))
% 77.64/77.82 (step t155 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.nil tptp.sk7)))) :rule implies :premises (t154))
% 77.64/77.82 (step t156 (cl (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.nil tptp.sk7)))) :rule resolution :premises (t155 t92))
% 77.64/77.82 (step t157 (cl (= tptp.sk7 (tptp.app tptp.nil tptp.sk7))) :rule resolution :premises (t148 a194 t156))
% 77.64/77.82 (step t158 (cl (not (or (not (tptp.singletonP (tptp.app (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.app (tptp.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.skaf44 (tptp.app (tptp.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)))) (not (tptp.singletonP (tptp.app (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.app (tptp.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.skaf44 (tptp.app (tptp.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))) :rule or_pos)
% 77.64/77.82 (step t159 (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.singletonP (tptp.app (tptp.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.skaf44 (tptp.app (tptp.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)) (not (or (not (tptp.singletonP (tptp.app (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.app (tptp.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.skaf44 (tptp.app (tptp.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))))) :rule reordering :premises (t158))
% 77.64/77.82 (step t160 (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)
% 77.64/77.82 (step t161 (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)
% 77.64/77.82 (step t162 (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)
% 77.64/77.82 (step t163 (cl (and (= tptp.sk1 tptp.sk3) (= tptp.sk2 tptp.sk4)) (not (= tptp.sk1 tptp.sk3)) (not (= tptp.sk2 tptp.sk4))) :rule and_neg)
% 77.64/77.82 (step t164 (cl (and (= tptp.sk1 tptp.sk3) (= tptp.sk2 tptp.sk4))) :rule resolution :premises (t163 a190 a189))
% 77.64/77.82 (step t165 (cl (= tptp.sk1 tptp.sk3)) :rule and :premises (t164))
% 77.64/77.82 (step t166 (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)
% 77.64/77.82 (step t167 (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 (t165 t166))
% 77.64/77.82 (step t168 (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 (a197))
% 77.64/77.82 (step t169 (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 (t162 t167 t168))
% 77.64/77.82 (step t170 (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 (t161 t169 a190 a189))
% 77.64/77.82 (step t171 (cl (= tptp.sk1 tptp.sk3)) :rule and :premises (t170))
% 77.64/77.82 (step t172 (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 (t170))
% 77.64/77.82 (step t173 (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 (t171 t172))
% 77.64/77.82 (step t174 (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 (t173))
% 77.64/77.82 (step t175 (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 (t160 t174 a185))
% 77.64/77.82 (step t176 (cl (not (= (or (tptp.singletonP tptp.sk3) (not (tptp.neq tptp.sk4 tptp.nil))) (or (tptp.singletonP (tptp.app (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.neq tptp.sk4 tptp.nil))))) (not (or (tptp.singletonP tptp.sk3) (not (tptp.neq tptp.sk4 tptp.nil)))) (or (tptp.singletonP (tptp.app (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.neq tptp.sk4 tptp.nil)))) :rule equiv_pos2)
% 77.64/77.82 (step t177 (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 (t170))
% 77.64/77.82 (step t178 (cl (= (tptp.singletonP tptp.sk3) (tptp.singletonP (tptp.app (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 (t177))
% 77.64/77.82 (step t179 (cl (= (not (tptp.neq tptp.sk4 tptp.nil)) (not (tptp.neq tptp.sk4 tptp.nil)))) :rule refl)
% 77.64/77.82 (step t180 (cl (= (or (tptp.singletonP tptp.sk3) (not (tptp.neq tptp.sk4 tptp.nil))) (or (tptp.singletonP (tptp.app (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.neq tptp.sk4 tptp.nil))))) :rule cong :premises (t178 t179))
% 77.64/77.82 (step t181 (cl (or (tptp.singletonP (tptp.app (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.neq tptp.sk4 tptp.nil)))) :rule resolution :premises (t176 t180 a202))
% 77.64/77.82 (step t182 (cl (tptp.singletonP (tptp.app (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.neq tptp.sk4 tptp.nil))) :rule or :premises (t181))
% 77.64/77.82 (step t183 (cl (not (tptp.neq tptp.sk4 tptp.nil)) (tptp.singletonP (tptp.app (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 reordering :premises (t182))
% 77.64/77.82 (step t184 (cl (not (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk4)) (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk4)) (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4)) :rule or_pos)
% 77.64/77.82 (step t185 (cl (tptp.neq tptp.sk4 tptp.nil) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk4)) (= tptp.nil tptp.sk4) (not (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk4)) (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4)))) :rule reordering :premises (t184))
% 77.64/77.82 (step t186 (cl (not (= (or (not (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) (not (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))))) (not (= tptp.nil tptp.sk4))) (or (not (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))) (not (= tptp.nil tptp.sk4))))) (not (or (not (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) (not (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))))) (not (= tptp.nil tptp.sk4)))) (or (not (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))) (not (= tptp.nil tptp.sk4)))) :rule equiv_pos2)
% 77.64/77.82 (step t187 (cl (= (not (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) (not (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))))) :rule refl)
% 77.64/77.82 (step t188 (cl (= (= (= (not (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) true) (= (not (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))))) :rule equiv_simplify)
% 77.64/77.82 (step t189 (cl (not (= (= (not (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) true)) (= (not (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))))) :rule equiv1 :premises (t188))
% 77.64/77.82 (step t190 (cl (= (= (not (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) (= (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))) (not (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))))))) :rule all_simplify)
% 77.64/77.82 (step t191 (cl (= (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))))) :rule refl)
% 77.64/77.82 (step t192 (cl (= (not (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))))) :rule all_simplify)
% 77.64/77.82 (step t193 (cl (= (= (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))) (not (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))))) (= (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))))) :rule cong :premises (t191 t192))
% 77.64/77.82 (step t194 (cl (= (= (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) true)) :rule all_simplify)
% 77.64/77.82 (step t195 (cl (= (= (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))) (not (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))))) true)) :rule trans :premises (t193 t194))
% 77.64/77.82 (step t196 (cl (= (= (not (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) true)) :rule trans :premises (t190 t195))
% 77.64/77.82 (step t197 (cl (= (not (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))))) :rule resolution :premises (t189 t196))
% 77.64/77.82 (step t198 (cl (= (not (= tptp.nil tptp.sk4)) (not (= tptp.nil tptp.sk4)))) :rule refl)
% 77.64/77.82 (step t199 (cl (= (or (not (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) (not (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))))) (not (= tptp.nil tptp.sk4))) (or (not (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))) (not (= tptp.nil tptp.sk4))))) :rule cong :premises (t187 t197 t198))
% 77.64/77.82 (step t200 (cl (and (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))) (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))))) (not (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) (not (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))))) :rule and_neg)
% 77.64/77.82 (step t201 (cl (=> (and (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))) (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))))) (not (= tptp.nil tptp.sk4))) (and (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))) (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))))) :rule implies_neg1)
% 77.64/77.82 (anchor :step t202)
% 77.64/77.82 (assume t202.a0 (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))))
% 77.64/77.82 (assume t202.a1 (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))))
% 77.64/77.82 (step t202.t1 (cl (=> (and (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) (not (= tptp.nil tptp.sk4))) (and (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))))) :rule implies_neg1)
% 77.64/77.82 (anchor :step t202.t2)
% 77.64/77.82 (assume t202.t2.a0 (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))))
% 77.64/77.82 (assume t202.t2.a1 (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))))
% 77.64/77.82 (step t202.t2.t1 (cl (= (= (= tptp.nil tptp.sk4) false) (not (= tptp.nil tptp.sk4)))) :rule equiv_simplify)
% 77.64/77.82 (step t202.t2.t2 (cl (not (= (= tptp.nil tptp.sk4) false)) (not (= tptp.nil tptp.sk4))) :rule equiv1 :premises (t202.t2.t1))
% 77.64/77.82 (step t202.t2.t3 (cl (= tptp.nil tptp.nil)) :rule refl)
% 77.64/77.82 (step t202.t2.t4 (cl (= (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)) tptp.sk4)) :rule symm :premises (t202.t2.a1))
% 77.64/77.82 (step t202.t2.t5 (cl (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) :rule symm :premises (t202.t2.t4))
% 77.64/77.82 (step t202.t2.t6 (cl (= (= tptp.nil tptp.sk4) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))))) :rule cong :premises (t202.t2.t3 t202.t2.t5))
% 77.64/77.82 (step t202.t2.t7 (cl (= (= (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))) false) (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))))) :rule equiv_simplify)
% 77.64/77.82 (step t202.t2.t8 (cl (= (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))) false) (not (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))))) :rule equiv2 :premises (t202.t2.t7))
% 77.64/77.82 (step t202.t2.t9 (cl (not (not (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) :rule not_not)
% 77.64/77.82 (step t202.t2.t10 (cl (= (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))) false) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) :rule resolution :premises (t202.t2.t8 t202.t2.t9))
% 77.64/77.82 (step t202.t2.t11 (cl (= (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))) false)) :rule resolution :premises (t202.t2.t10 t202.t2.a0))
% 77.64/77.82 (step t202.t2.t12 (cl (= (= tptp.nil tptp.sk4) false)) :rule trans :premises (t202.t2.t6 t202.t2.t11))
% 77.64/77.82 (step t202.t2.t13 (cl (not (= tptp.nil tptp.sk4))) :rule resolution :premises (t202.t2.t2 t202.t2.t12))
% 77.64/77.82 (step t202.t2 (cl (not (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))))) (not (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) (not (= tptp.nil tptp.sk4))) :rule subproof :discharge (t202.t2.a0 t202.t2.a1))
% 77.64/77.82 (step t202.t3 (cl (not (and (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))))) (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))))) :rule and_pos)
% 77.64/77.82 (step t202.t4 (cl (not (and (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))))) (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) :rule and_pos)
% 77.64/77.82 (step t202.t5 (cl (not (= tptp.nil tptp.sk4)) (not (and (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))))) (not (and (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))))) :rule resolution :premises (t202.t2 t202.t3 t202.t4))
% 77.64/77.82 (step t202.t6 (cl (not (and (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))))) (not (and (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))))) (not (= tptp.nil tptp.sk4))) :rule reordering :premises (t202.t5))
% 77.64/77.82 (step t202.t7 (cl (not (and (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))))) (not (= tptp.nil tptp.sk4))) :rule contraction :premises (t202.t6))
% 77.64/77.82 (step t202.t8 (cl (=> (and (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) (not (= tptp.nil tptp.sk4))) (not (= tptp.nil tptp.sk4))) :rule resolution :premises (t202.t1 t202.t7))
% 77.64/77.82 (step t202.t9 (cl (=> (and (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) (not (= tptp.nil tptp.sk4))) (not (not (= tptp.nil tptp.sk4)))) :rule implies_neg2)
% 77.64/77.82 (step t202.t10 (cl (=> (and (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) (not (= tptp.nil tptp.sk4))) (=> (and (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) (not (= tptp.nil tptp.sk4)))) :rule resolution :premises (t202.t8 t202.t9))
% 77.64/77.82 (step t202.t11 (cl (=> (and (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) (not (= tptp.nil tptp.sk4)))) :rule contraction :premises (t202.t10))
% 77.64/77.82 (step t202.t12 (cl (not (and (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))))) (not (= tptp.nil tptp.sk4))) :rule implies :premises (t202.t11))
% 77.64/77.82 (step t202.t13 (cl (and (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) (not (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))))) (not (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))))) :rule and_neg)
% 77.64/77.82 (step t202.t14 (cl (and (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))))) :rule resolution :premises (t202.t13 t202.a1 t202.a0))
% 77.64/77.82 (step t202.t15 (cl (not (= tptp.nil tptp.sk4))) :rule resolution :premises (t202.t12 t202.t14))
% 77.64/77.82 (step t202 (cl (not (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) (not (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))))) (not (= tptp.nil tptp.sk4))) :rule subproof :discharge (t202.a0 t202.a1))
% 77.64/77.82 (step t203 (cl (not (and (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))) (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))))) (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) :rule and_pos)
% 77.64/77.82 (step t204 (cl (not (and (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))) (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))))) (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))))) :rule and_pos)
% 77.64/77.82 (step t205 (cl (not (= tptp.nil tptp.sk4)) (not (and (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))) (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))))) (not (and (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))) (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))))))) :rule resolution :premises (t202 t203 t204))
% 77.64/77.82 (step t206 (cl (not (and (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))) (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))))) (not (and (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))) (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))))) (not (= tptp.nil tptp.sk4))) :rule reordering :premises (t205))
% 77.64/77.82 (step t207 (cl (not (and (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))) (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))))) (not (= tptp.nil tptp.sk4))) :rule contraction :premises (t206))
% 77.64/77.82 (step t208 (cl (=> (and (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))) (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))))) (not (= tptp.nil tptp.sk4))) (not (= tptp.nil tptp.sk4))) :rule resolution :premises (t201 t207))
% 77.64/77.82 (step t209 (cl (=> (and (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))) (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))))) (not (= tptp.nil tptp.sk4))) (not (not (= tptp.nil tptp.sk4)))) :rule implies_neg2)
% 77.64/77.82 (step t210 (cl (=> (and (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))) (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))))) (not (= tptp.nil tptp.sk4))) (=> (and (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))) (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))))) (not (= tptp.nil tptp.sk4)))) :rule resolution :premises (t208 t209))
% 77.64/77.82 (step t211 (cl (=> (and (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))) (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))))) (not (= tptp.nil tptp.sk4)))) :rule contraction :premises (t210))
% 77.64/77.82 (step t212 (cl (not (and (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))) (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))))) (not (= tptp.nil tptp.sk4))) :rule implies :premises (t211))
% 77.64/77.82 (step t213 (cl (not (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) (not (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))))) (not (= tptp.nil tptp.sk4))) :rule resolution :premises (t200 t212))
% 77.64/77.82 (step t214 (cl (or (not (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) (not (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))))) (not (= tptp.nil tptp.sk4))) (not (not (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))))) :rule or_neg)
% 77.64/77.82 (step t215 (cl (or (not (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) (not (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))))) (not (= tptp.nil tptp.sk4))) (not (not (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))))))) :rule or_neg)
% 77.64/77.82 (step t216 (cl (or (not (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) (not (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))))) (not (= tptp.nil tptp.sk4))) (not (not (= tptp.nil tptp.sk4)))) :rule or_neg)
% 77.64/77.82 (step t217 (cl (or (not (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) (not (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))))) (not (= tptp.nil tptp.sk4))) (or (not (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) (not (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))))) (not (= tptp.nil tptp.sk4))) (or (not (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) (not (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))))) (not (= tptp.nil tptp.sk4)))) :rule resolution :premises (t213 t214 t215 t216))
% 77.64/77.82 (step t218 (cl (or (not (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) (not (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))))) (not (= tptp.nil tptp.sk4)))) :rule contraction :premises (t217))
% 77.64/77.82 (step t219 (cl (or (not (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))) (not (= tptp.nil tptp.sk4)))) :rule resolution :premises (t186 t199 t218))
% 77.64/77.82 (step t220 (cl (not (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))) (not (= tptp.nil tptp.sk4))) :rule or :premises (t219))
% 77.64/77.82 (step t221 (cl (not (= tptp.nil tptp.sk4)) (not (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) :rule reordering :premises (t220))
% 77.64/77.82 (step t222 (cl (not (or (not (tptp.segmentP tptp.sk4 (tptp.app (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.app (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.sk4)) (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))))) (not (tptp.segmentP tptp.sk4 (tptp.app (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.app (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.sk4)) (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) :rule or_pos)
% 77.64/77.82 (step t223 (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.ssList tptp.sk4)) (not (tptp.segmentP tptp.sk4 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))) (not (or (not (tptp.segmentP tptp.sk4 (tptp.app (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.app (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.sk4)) (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))))) :rule reordering :premises (t222))
% 77.64/77.82 (step t224 (cl (not (= (tptp.segmentP tptp.sk4 tptp.sk3) (tptp.segmentP tptp.sk4 (tptp.app (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.segmentP tptp.sk4 tptp.sk3)) (tptp.segmentP tptp.sk4 (tptp.app (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)
% 77.64/77.82 (step t225 (cl (= tptp.sk4 tptp.sk4)) :rule refl)
% 77.64/77.82 (step t226 (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 (t170))
% 77.64/77.82 (step t227 (cl (= (tptp.segmentP tptp.sk4 tptp.sk3) (tptp.segmentP tptp.sk4 (tptp.app (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 (t225 t226))
% 77.64/77.82 (step t228 (cl (tptp.segmentP tptp.sk4 (tptp.app (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 (t224 t227 a191))
% 77.64/77.82 (step t229 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U))))) (or (not (tptp.segmentP tptp.sk4 (tptp.app (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.app (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.sk4)) (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U)))))) :rule implies_neg1)
% 77.64/77.82 (anchor :step t230)
% 77.64/77.82 (assume t230.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U))))))
% 77.64/77.82 (step t230.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U)))))) (or (not (tptp.segmentP tptp.sk4 (tptp.app (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.app (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.sk4)) (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))))) :rule forall_inst :args ((:= U tptp.sk4) (:= V (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))))
% 77.64/77.82 (step t230.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U)))))) (or (not (tptp.segmentP tptp.sk4 (tptp.app (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.app (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.sk4)) (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))))) :rule or :premises (t230.t1))
% 77.64/77.82 (step t230.t3 (cl (or (not (tptp.segmentP tptp.sk4 (tptp.app (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.app (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.sk4)) (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))))) :rule resolution :premises (t230.t2 t230.a0))
% 77.64/77.82 (step t230 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U)))))) (or (not (tptp.segmentP tptp.sk4 (tptp.app (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.app (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.sk4)) (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))))) :rule subproof :discharge (t230.a0))
% 77.64/77.82 (step t231 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U))))) (or (not (tptp.segmentP tptp.sk4 (tptp.app (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.app (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.sk4)) (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))))) (or (not (tptp.segmentP tptp.sk4 (tptp.app (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.app (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.sk4)) (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))))) :rule resolution :premises (t229 t230))
% 77.64/77.82 (step t232 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U))))) (or (not (tptp.segmentP tptp.sk4 (tptp.app (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.app (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.sk4)) (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))))) (not (or (not (tptp.segmentP tptp.sk4 (tptp.app (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.app (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.sk4)) (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))))) :rule implies_neg2)
% 77.64/77.82 (step t233 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U))))) (or (not (tptp.segmentP tptp.sk4 (tptp.app (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.app (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.sk4)) (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U))))) (or (not (tptp.segmentP tptp.sk4 (tptp.app (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.app (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.sk4)) (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))))) :rule resolution :premises (t231 t232))
% 77.64/77.82 (step t234 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U))))) (or (not (tptp.segmentP tptp.sk4 (tptp.app (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.app (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.sk4)) (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))))) :rule contraction :premises (t233))
% 77.64/77.82 (step t235 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U)))))) (or (not (tptp.segmentP tptp.sk4 (tptp.app (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.app (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.sk4)) (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))))) :rule implies :premises (t234))
% 77.64/77.82 (step t236 (cl (not (= (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))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U))))))) (not (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)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U)))))) :rule equiv_pos2)
% 77.64/77.82 (anchor :step t237 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 77.64/77.82 (step t237.t1 (cl (= U U)) :rule refl)
% 77.64/77.82 (step t237.t2 (cl (= V V)) :rule refl)
% 77.64/77.82 (step t237.t3 (cl (= (not (tptp.segmentP U V)) (not (tptp.segmentP U V)))) :rule refl)
% 77.64/77.82 (step t237.t4 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 77.64/77.82 (step t237.t5 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 77.64/77.82 (step t237.t6 (cl (= (= (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U)) U) (= U (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U))))) :rule all_simplify)
% 77.64/77.82 (step t237.t7 (cl (= (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)) (or (not (tptp.segmentP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U)))))) :rule cong :premises (t237.t3 t237.t4 t237.t5 t237.t6))
% 77.64/77.82 (step t237 (cl (= (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))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U))))))) :rule bind)
% 77.64/77.82 (step t238 (cl (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U)))))) :rule resolution :premises (t236 t237 a167))
% 77.64/77.82 (step t239 (cl (or (not (tptp.segmentP tptp.sk4 (tptp.app (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.app (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.sk4)) (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))))) :rule resolution :premises (t235 t238))
% 77.64/77.82 (step t240 (cl (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) :rule resolution :premises (t223 t175 a188 t228 t239))
% 77.64/77.82 (step t241 (cl (not (or (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) (not (tptp.ssList (tptp.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))) (not (tptp.ssList (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.nil (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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))))) (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) (not (tptp.ssList (tptp.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))) (not (tptp.ssList (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.nil (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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 or_pos)
% 77.64/77.82 (step t242 (cl (= tptp.nil (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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))) (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) (not (tptp.ssList (tptp.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))) (not (tptp.ssList (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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)))) (not (or (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) (not (tptp.ssList (tptp.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))) (not (tptp.ssList (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.nil (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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 reordering :premises (t241))
% 77.64/77.82 (step t243 (cl (not (or (not (= tptp.nil (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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)))) (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.ssList (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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)))) (not (= tptp.nil (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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)))) (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.ssList (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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 or_pos)
% 77.64/77.82 (step t244 (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))) (= tptp.nil (tptp.app (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.skaf47 tptp.sk4 (tptp.app (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.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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)))) (not (or (not (= tptp.nil (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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)))) (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.ssList (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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 reordering :premises (t243))
% 77.64/77.82 (step t245 (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)
% 77.64/77.82 (step t246 (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.nil (tptp.app (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.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 (t245))
% 77.64/77.82 (step t247 (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)
% 77.64/77.82 (step t248 (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 (t247))
% 77.64/77.82 (step t249 (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)
% 77.64/77.82 (step t250 (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 (t249))
% 77.64/77.82 (step t251 (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)
% 77.64/77.82 (anchor :step t252)
% 77.64/77.82 (assume t252.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))))
% 77.64/77.82 (step t252.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)))
% 77.64/77.82 (step t252.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 (t252.t1))
% 77.64/77.82 (step t252.t3 (cl (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t252.t2 t252.a0))
% 77.64/77.82 (step t252 (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 (t252.a0))
% 77.64/77.82 (step t253 (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 (t251 t252))
% 77.64/77.82 (step t254 (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)
% 77.64/77.82 (step t255 (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 (t253 t254))
% 77.64/77.82 (step t256 (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 (t255))
% 77.64/77.82 (step t257 (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 (t256))
% 77.64/77.82 (step t258 (cl (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t257 a85))
% 77.64/77.82 (step t259 (cl (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) :rule resolution :premises (t250 a7 a193 t258))
% 77.64/77.82 (step t260 (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)
% 77.64/77.82 (step t261 (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 (t260))
% 77.64/77.82 (step t262 (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)
% 77.64/77.82 (step t263 (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 (t262))
% 77.64/77.82 (step t264 (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)
% 77.64/77.82 (step t265 (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 (t264))
% 77.64/77.82 (step t266 (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)
% 77.64/77.82 (anchor :step t267)
% 77.64/77.82 (assume t267.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))))
% 77.64/77.82 (step t267.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)))
% 77.64/77.82 (step t267.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 (t267.t1))
% 77.64/77.82 (step t267.t3 (cl (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t267.t2 t267.a0))
% 77.64/77.82 (step t267 (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 (t267.a0))
% 77.64/77.82 (step t268 (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 (t266 t267))
% 77.64/77.82 (step t269 (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)
% 77.64/77.82 (step t270 (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 (t268 t269))
% 77.64/77.82 (step t271 (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 (t270))
% 77.64/77.82 (step t272 (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 (t271))
% 77.64/77.82 (step t273 (cl (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t272 a85))
% 77.64/77.82 (step t274 (cl (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) :rule resolution :premises (t265 a7 a192 t273))
% 77.64/77.82 (step t275 (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)
% 77.64/77.82 (anchor :step t276)
% 77.64/77.82 (assume t276.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))))
% 77.64/77.82 (step t276.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)))
% 77.64/77.82 (step t276.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 (t276.t1))
% 77.64/77.82 (step t276.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 (t276.t2 t276.a0))
% 77.64/77.82 (step t276 (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 (t276.a0))
% 77.64/77.82 (step t277 (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 (t275 t276))
% 77.64/77.82 (step t278 (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)
% 77.64/77.82 (step t279 (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 (t277 t278))
% 77.64/77.82 (step t280 (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 (t279))
% 77.64/77.82 (step t281 (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 (t280))
% 77.64/77.82 (step t282 (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 (t281 a84))
% 77.64/77.82 (step t283 (cl (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t263 a194 t274 t282))
% 77.64/77.82 (step t284 (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)
% 77.64/77.82 (anchor :step t285)
% 77.64/77.82 (assume t285.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))))
% 77.64/77.82 (step t285.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)))))
% 77.64/77.82 (step t285.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 (t285.t1))
% 77.64/77.82 (step t285.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 (t285.t2 t285.a0))
% 77.64/77.82 (step t285 (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 (t285.a0))
% 77.64/77.82 (step t286 (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 (t284 t285))
% 77.64/77.82 (step t287 (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)
% 77.64/77.82 (step t288 (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 (t286 t287))
% 77.64/77.82 (step t289 (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 (t288))
% 77.64/77.82 (step t290 (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 (t289))
% 77.64/77.82 (step t291 (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 (t290 a84))
% 77.64/77.82 (step t292 (cl (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) :rule resolution :premises (t261 a195 t283 t291))
% 77.64/77.82 (step t293 (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)
% 77.64/77.82 (step t294 (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 (t293))
% 77.64/77.82 (step t295 (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)
% 77.64/77.82 (anchor :step t296)
% 77.64/77.82 (assume t296.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))))
% 77.64/77.82 (step t296.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)))
% 77.64/77.82 (step t296.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 (t296.t1))
% 77.64/77.82 (step t296.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 (t296.t2 t296.a0))
% 77.64/77.82 (step t296 (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 (t296.a0))
% 77.64/77.82 (step t297 (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 (t295 t296))
% 77.64/77.82 (step t298 (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)
% 77.64/77.82 (step t299 (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 (t297 t298))
% 77.64/77.82 (step t300 (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 (t299))
% 77.64/77.82 (step t301 (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 (t300))
% 77.64/77.82 (step t302 (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)
% 77.64/77.82 (anchor :step t303 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 77.64/77.82 (step t303.t1 (cl (= U U)) :rule refl)
% 77.64/77.82 (step t303.t2 (cl (= V V)) :rule refl)
% 77.64/77.82 (step t303.t3 (cl (= (= (tptp.cons U V) tptp.nil) (= tptp.nil (tptp.cons U V)))) :rule all_simplify)
% 77.64/77.82 (step t303.t4 (cl (= (not (= (tptp.cons U V) tptp.nil)) (not (= tptp.nil (tptp.cons U V))))) :rule cong :premises (t303.t3))
% 77.64/77.82 (step t303.t5 (cl (= (not (tptp.ssItem U)) (not (tptp.ssItem U)))) :rule refl)
% 77.64/77.82 (step t303.t6 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 77.64/77.82 (step t303.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 (t303.t4 t303.t5 t303.t6))
% 77.64/77.82 (step t303 (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)
% 77.64/77.82 (step t304 (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 (t302 t303 a97))
% 77.64/77.82 (step t305 (cl (or (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)))) :rule resolution :premises (t301 t304))
% 77.64/77.82 (step t306 (cl (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t294 a7 a193 t305))
% 77.64/77.82 (step t307 (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)
% 77.64/77.82 (anchor :step t308)
% 77.64/77.82 (assume t308.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))))
% 77.64/77.82 (step t308.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))))
% 77.64/77.82 (step t308.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 (t308.t1))
% 77.64/77.82 (step t308.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 (t308.t2 t308.a0))
% 77.64/77.82 (step t308 (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 (t308.a0))
% 77.64/77.82 (step t309 (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 (t307 t308))
% 77.64/77.82 (step t310 (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)
% 77.64/77.82 (step t311 (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 (t309 t310))
% 77.64/77.82 (step t312 (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 (t311))
% 77.64/77.82 (step t313 (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 (t312))
% 77.64/77.82 (step t314 (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)
% 77.64/77.82 (anchor :step t315 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 77.64/77.82 (step t315.t1 (cl (= U U)) :rule refl)
% 77.64/77.82 (step t315.t2 (cl (= V V)) :rule refl)
% 77.64/77.82 (step t315.t3 (cl (= (= (tptp.app U V) tptp.nil) (= tptp.nil (tptp.app U V)))) :rule all_simplify)
% 77.64/77.82 (step t315.t4 (cl (= (not (= (tptp.app U V) tptp.nil)) (not (= tptp.nil (tptp.app U V))))) :rule cong :premises (t315.t3))
% 77.64/77.82 (step t315.t5 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 77.64/77.82 (step t315.t6 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 77.64/77.82 (step t315.t7 (cl (= (= tptp.nil V) (= tptp.nil V))) :rule refl)
% 77.64/77.82 (step t315.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 (t315.t4 t315.t5 t315.t6 t315.t7))
% 77.64/77.82 (step t315 (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)
% 77.64/77.82 (step t316 (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 (t314 t315 a118))
% 77.64/77.82 (step t317 (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 (t313 t316))
% 77.64/77.82 (step t318 (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 (t248 t259 t292 t306 t317))
% 77.64/77.82 (step t319 (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)
% 77.64/77.82 (step t320 (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 (t319))
% 77.64/77.82 (step t321 (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)
% 77.64/77.82 (anchor :step t322)
% 77.64/77.82 (assume t322.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))))
% 77.64/77.82 (step t322.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))))
% 77.64/77.82 (step t322.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 (t322.t1))
% 77.64/77.82 (step t322.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 (t322.t2 t322.a0))
% 77.64/77.82 (step t322 (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 (t322.a0))
% 77.64/77.82 (step t323 (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 (t321 t322))
% 77.64/77.82 (step t324 (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)
% 77.64/77.82 (step t325 (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 (t323 t324))
% 77.64/77.82 (step t326 (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 (t325))
% 77.64/77.82 (step t327 (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 (t326))
% 77.64/77.82 (step t328 (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 (t327 a84))
% 77.64/77.82 (step t329 (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 (t320 t259 t292 t328))
% 77.64/77.82 (step t330 (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)
% 77.64/77.82 (anchor :step t331)
% 77.64/77.82 (assume t331.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))))
% 77.64/77.82 (step t331.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)))
% 77.64/77.82 (step t331.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 (t331.t1))
% 77.64/77.82 (step t331.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 (t331.t2 t331.a0))
% 77.64/77.82 (step t331 (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 (t331.a0))
% 77.64/77.82 (step t332 (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 (t330 t331))
% 77.64/77.82 (step t333 (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)
% 77.64/77.82 (step t334 (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 (t332 t333))
% 77.64/77.82 (step t335 (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 (t334))
% 77.64/77.82 (step t336 (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 (t335))
% 77.64/77.82 (step t337 (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)
% 77.64/77.82 (anchor :step t338 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 77.64/77.82 (step t338.t1 (cl (= U U)) :rule refl)
% 77.64/77.82 (step t338.t2 (cl (= V V)) :rule refl)
% 77.64/77.82 (step t338.t3 (cl (= (= (tptp.app U V) tptp.nil) (= tptp.nil (tptp.app U V)))) :rule all_simplify)
% 77.64/77.82 (step t338.t4 (cl (= (not (= (tptp.app U V) tptp.nil)) (not (= tptp.nil (tptp.app U V))))) :rule cong :premises (t338.t3))
% 77.64/77.82 (step t338.t5 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 77.64/77.82 (step t338.t6 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 77.64/77.82 (step t338.t7 (cl (= (= tptp.nil U) (= tptp.nil U))) :rule refl)
% 77.64/77.82 (step t338.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 (t338.t4 t338.t5 t338.t6 t338.t7))
% 77.64/77.82 (step t338 (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)
% 77.64/77.82 (step t339 (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 (t337 t338 a117))
% 77.64/77.82 (step t340 (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 (t336 t339))
% 77.64/77.82 (step t341 (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 (t246 a196 t318 t329 t340))
% 77.64/77.82 (step t342 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf47 U V))) (tptp.ssList (tptp.skaf47 tptp.sk4 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf47 U V)))) :rule implies_neg1)
% 77.64/77.82 (anchor :step t343)
% 77.64/77.82 (assume t343.a0 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf47 U V))))
% 77.64/77.82 (step t343.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf47 U V)))) (tptp.ssList (tptp.skaf47 tptp.sk4 (tptp.app (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 forall_inst :args ((:= U tptp.sk4) (:= V (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))))
% 77.64/77.82 (step t343.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf47 U V)))) (tptp.ssList (tptp.skaf47 tptp.sk4 (tptp.app (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 (t343.t1))
% 77.64/77.82 (step t343.t3 (cl (tptp.ssList (tptp.skaf47 tptp.sk4 (tptp.app (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 (t343.t2 t343.a0))
% 77.64/77.82 (step t343 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf47 U V)))) (tptp.ssList (tptp.skaf47 tptp.sk4 (tptp.app (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 subproof :discharge (t343.a0))
% 77.64/77.82 (step t344 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf47 U V))) (tptp.ssList (tptp.skaf47 tptp.sk4 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (tptp.ssList (tptp.skaf47 tptp.sk4 (tptp.app (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 (t342 t343))
% 77.64/77.82 (step t345 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf47 U V))) (tptp.ssList (tptp.skaf47 tptp.sk4 (tptp.app (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.skaf47 tptp.sk4 (tptp.app (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 implies_neg2)
% 77.64/77.82 (step t346 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf47 U V))) (tptp.ssList (tptp.skaf47 tptp.sk4 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (=> (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf47 U V))) (tptp.ssList (tptp.skaf47 tptp.sk4 (tptp.app (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 (t344 t345))
% 77.64/77.82 (step t347 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf47 U V))) (tptp.ssList (tptp.skaf47 tptp.sk4 (tptp.app (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 (t346))
% 77.64/77.82 (step t348 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf47 U V)))) (tptp.ssList (tptp.skaf47 tptp.sk4 (tptp.app (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 implies :premises (t347))
% 77.64/77.82 (step t349 (cl (tptp.ssList (tptp.skaf47 tptp.sk4 (tptp.app (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 (t348 a48))
% 77.64/77.82 (step t350 (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.skaf47 tptp.sk4 (tptp.app (tptp.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)))) (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.ssList (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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)))) (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)
% 77.64/77.82 (anchor :step t351)
% 77.64/77.82 (assume t351.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))))
% 77.64/77.82 (step t351.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.skaf47 tptp.sk4 (tptp.app (tptp.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)))) (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.ssList (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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 forall_inst :args ((:= U (tptp.skaf47 tptp.sk4 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (:= V (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))))
% 77.64/77.82 (step t351.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.skaf47 tptp.sk4 (tptp.app (tptp.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)))) (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.ssList (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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 or :premises (t351.t1))
% 77.64/77.82 (step t351.t3 (cl (or (not (= tptp.nil (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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)))) (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.ssList (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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 (t351.t2 t351.a0))
% 77.64/77.82 (step t351 (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.skaf47 tptp.sk4 (tptp.app (tptp.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)))) (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.ssList (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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 subproof :discharge (t351.a0))
% 77.64/77.82 (step t352 (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.skaf47 tptp.sk4 (tptp.app (tptp.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)))) (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.ssList (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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)))) (or (not (= tptp.nil (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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)))) (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.ssList (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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 (t350 t351))
% 77.64/77.82 (step t353 (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.skaf47 tptp.sk4 (tptp.app (tptp.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)))) (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.ssList (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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)))) (not (or (not (= tptp.nil (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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)))) (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.ssList (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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 implies_neg2)
% 77.64/77.82 (step t354 (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.skaf47 tptp.sk4 (tptp.app (tptp.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)))) (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.ssList (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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)))) (=> (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.skaf47 tptp.sk4 (tptp.app (tptp.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)))) (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.ssList (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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 (t352 t353))
% 77.64/77.82 (step t355 (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.skaf47 tptp.sk4 (tptp.app (tptp.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)))) (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.ssList (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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 contraction :premises (t354))
% 77.64/77.82 (step t356 (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.skaf47 tptp.sk4 (tptp.app (tptp.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)))) (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.ssList (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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 implies :premises (t355))
% 77.64/77.82 (step t357 (cl (or (not (= tptp.nil (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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)))) (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.ssList (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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 (t356 t316))
% 77.64/77.82 (step t358 (cl (not (= tptp.nil (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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 resolution :premises (t244 t175 t341 t349 t357))
% 77.64/77.82 (step t359 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf48 U V))) (tptp.ssList (tptp.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))) (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf48 U V)))) :rule implies_neg1)
% 77.64/77.82 (anchor :step t360)
% 77.64/77.82 (assume t360.a0 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf48 U V))))
% 77.64/77.82 (step t360.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf48 U V)))) (tptp.ssList (tptp.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) :rule forall_inst :args ((:= U (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (:= V tptp.sk4)))
% 77.64/77.82 (step t360.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf48 U V)))) (tptp.ssList (tptp.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))) :rule or :premises (t360.t1))
% 77.64/77.82 (step t360.t3 (cl (tptp.ssList (tptp.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))) :rule resolution :premises (t360.t2 t360.a0))
% 77.64/77.82 (step t360 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf48 U V)))) (tptp.ssList (tptp.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))) :rule subproof :discharge (t360.a0))
% 77.64/77.82 (step t361 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf48 U V))) (tptp.ssList (tptp.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))) (tptp.ssList (tptp.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))) :rule resolution :premises (t359 t360))
% 77.64/77.82 (step t362 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf48 U V))) (tptp.ssList (tptp.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))) (not (tptp.ssList (tptp.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) :rule implies_neg2)
% 77.64/77.82 (step t363 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf48 U V))) (tptp.ssList (tptp.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))) (=> (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf48 U V))) (tptp.ssList (tptp.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) :rule resolution :premises (t361 t362))
% 77.64/77.82 (step t364 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf48 U V))) (tptp.ssList (tptp.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) :rule contraction :premises (t363))
% 77.64/77.82 (step t365 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf48 U V)))) (tptp.ssList (tptp.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))) :rule implies :premises (t364))
% 77.64/77.82 (step t366 (cl (tptp.ssList (tptp.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))) :rule resolution :premises (t365 a47))
% 77.64/77.82 (step t367 (cl (not (or (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.ssList (tptp.skaf47 tptp.sk4 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (tptp.ssList (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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))))) (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.ssList (tptp.skaf47 tptp.sk4 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (tptp.ssList (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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 or_pos)
% 77.64/77.82 (step t368 (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.ssList (tptp.skaf47 tptp.sk4 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (tptp.ssList (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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))) (not (or (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.ssList (tptp.skaf47 tptp.sk4 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (tptp.ssList (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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 reordering :premises (t367))
% 77.64/77.82 (step t369 (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.app (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.skaf47 tptp.sk4 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (tptp.ssList (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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))))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U))))) :rule implies_neg1)
% 77.64/77.82 (anchor :step t370)
% 77.64/77.82 (assume t370.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))))
% 77.64/77.82 (step t370.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.app (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.skaf47 tptp.sk4 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (tptp.ssList (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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 forall_inst :args ((:= U (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (:= V (tptp.skaf47 tptp.sk4 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))))
% 77.64/77.82 (step t370.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.app (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.skaf47 tptp.sk4 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (tptp.ssList (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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 or :premises (t370.t1))
% 77.64/77.82 (step t370.t3 (cl (or (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.ssList (tptp.skaf47 tptp.sk4 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (tptp.ssList (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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 resolution :premises (t370.t2 t370.a0))
% 77.64/77.82 (step t370 (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.app (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.skaf47 tptp.sk4 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (tptp.ssList (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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 subproof :discharge (t370.a0))
% 77.64/77.82 (step t371 (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.app (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.skaf47 tptp.sk4 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (tptp.ssList (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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))))) (or (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.ssList (tptp.skaf47 tptp.sk4 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (tptp.ssList (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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 resolution :premises (t369 t370))
% 77.64/77.82 (step t372 (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.app (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.skaf47 tptp.sk4 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (tptp.ssList (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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))))) (not (or (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.ssList (tptp.skaf47 tptp.sk4 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (tptp.ssList (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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 implies_neg2)
% 77.64/77.82 (step t373 (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.app (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.skaf47 tptp.sk4 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (tptp.ssList (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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))))) (=> (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.app (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.skaf47 tptp.sk4 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (tptp.ssList (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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 resolution :premises (t371 t372))
% 77.64/77.82 (step t374 (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.app (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.skaf47 tptp.sk4 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (tptp.ssList (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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 contraction :premises (t373))
% 77.64/77.82 (step t375 (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.app (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.skaf47 tptp.sk4 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (tptp.ssList (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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 implies :premises (t374))
% 77.64/77.82 (step t376 (cl (or (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.ssList (tptp.skaf47 tptp.sk4 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (tptp.ssList (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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 resolution :premises (t375 a84))
% 77.64/77.82 (step t377 (cl (tptp.ssList (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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 resolution :premises (t368 t175 t349 t376))
% 77.64/77.82 (step t378 (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.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) (not (tptp.ssList (tptp.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))) (not (tptp.ssList (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.nil (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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))))) (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)
% 77.64/77.82 (anchor :step t379)
% 77.64/77.82 (assume t379.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))))
% 77.64/77.82 (step t379.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.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) (not (tptp.ssList (tptp.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))) (not (tptp.ssList (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.nil (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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 forall_inst :args ((:= U (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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))) (:= V (tptp.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))))
% 77.64/77.82 (step t379.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.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) (not (tptp.ssList (tptp.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))) (not (tptp.ssList (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.nil (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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 or :premises (t379.t1))
% 77.64/77.82 (step t379.t3 (cl (or (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) (not (tptp.ssList (tptp.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))) (not (tptp.ssList (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.nil (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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 resolution :premises (t379.t2 t379.a0))
% 77.64/77.82 (step t379 (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.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) (not (tptp.ssList (tptp.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))) (not (tptp.ssList (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.nil (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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 subproof :discharge (t379.a0))
% 77.64/77.82 (step t380 (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.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) (not (tptp.ssList (tptp.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))) (not (tptp.ssList (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.nil (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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))))) (or (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) (not (tptp.ssList (tptp.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))) (not (tptp.ssList (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.nil (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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 resolution :premises (t378 t379))
% 77.64/77.82 (step t381 (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.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) (not (tptp.ssList (tptp.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))) (not (tptp.ssList (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.nil (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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))))) (not (or (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) (not (tptp.ssList (tptp.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))) (not (tptp.ssList (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.nil (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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 implies_neg2)
% 77.64/77.82 (step t382 (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.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) (not (tptp.ssList (tptp.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))) (not (tptp.ssList (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.nil (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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))))) (=> (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.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) (not (tptp.ssList (tptp.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))) (not (tptp.ssList (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.nil (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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 resolution :premises (t380 t381))
% 77.64/77.82 (step t383 (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.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) (not (tptp.ssList (tptp.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))) (not (tptp.ssList (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.nil (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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 contraction :premises (t382))
% 77.64/77.82 (step t384 (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.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) (not (tptp.ssList (tptp.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))) (not (tptp.ssList (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.nil (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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 implies :premises (t383))
% 77.64/77.82 (step t385 (cl (or (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4)))) (not (tptp.ssList (tptp.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))) (not (tptp.ssList (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.nil (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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 resolution :premises (t384 t339))
% 77.64/77.82 (step t386 (cl (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.sk4 (tptp.app (tptp.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.skaf48 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) tptp.sk4))))) :rule resolution :premises (t242 t358 t366 t377 t385))
% 77.64/77.82 (step t387 (cl (not (= tptp.nil tptp.sk4))) :rule resolution :premises (t221 t240 t386))
% 77.64/77.82 (step t388 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk4)) (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) :rule implies_neg1)
% 77.64/77.82 (anchor :step t389)
% 77.64/77.82 (assume t389.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))))
% 77.64/77.82 (step t389.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk4)) (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4)))) :rule forall_inst :args ((:= U tptp.nil) (:= V tptp.sk4)))
% 77.64/77.82 (step t389.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk4)) (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4))) :rule or :premises (t389.t1))
% 77.64/77.82 (step t389.t3 (cl (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk4)) (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4))) :rule resolution :premises (t389.t2 t389.a0))
% 77.64/77.82 (step t389 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk4)) (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4))) :rule subproof :discharge (t389.a0))
% 77.64/77.82 (step t390 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk4)) (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk4)) (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4))) :rule resolution :premises (t388 t389))
% 77.64/77.82 (step t391 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk4)) (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4))) (not (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk4)) (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4)))) :rule implies_neg2)
% 77.64/77.82 (step t392 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk4)) (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk4)) (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4)))) :rule resolution :premises (t390 t391))
% 77.64/77.82 (step t393 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk4)) (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4)))) :rule contraction :premises (t392))
% 77.64/77.82 (step t394 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk4)) (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4))) :rule implies :premises (t393))
% 77.64/77.82 (step t395 (cl (not (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= V U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= V U)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) :rule equiv_pos2)
% 77.64/77.82 (anchor :step t396 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 77.64/77.82 (step t396.t1 (cl (= U U)) :rule refl)
% 77.64/77.82 (step t396.t2 (cl (= V V)) :rule refl)
% 77.64/77.82 (step t396.t3 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 77.64/77.82 (step t396.t4 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 77.64/77.82 (step t396.t5 (cl (= (tptp.neq V U) (tptp.neq V U))) :rule refl)
% 77.64/77.82 (step t396.t6 (cl (= (= V U) (= U V))) :rule all_simplify)
% 77.64/77.82 (step t396.t7 (cl (= (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= V U)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) :rule cong :premises (t396.t3 t396.t4 t396.t5 t396.t6))
% 77.64/77.82 (step t396 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= V U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))))) :rule bind)
% 77.64/77.82 (step t397 (cl (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) :rule resolution :premises (t395 t396 a99))
% 77.64/77.82 (step t398 (cl (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk4)) (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4))) :rule resolution :premises (t394 t397))
% 77.64/77.82 (step t399 (cl (tptp.neq tptp.sk4 tptp.nil)) :rule resolution :premises (t185 a7 a188 t387 t398))
% 77.64/77.82 (step t400 (cl (tptp.singletonP (tptp.app (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 (t183 t399))
% 77.64/77.82 (step t401 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf44 U) tptp.nil)))) (or (not (tptp.singletonP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) tptp.nil)))) (forall ((U $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf44 U) tptp.nil))))) :rule implies_neg1)
% 77.64/77.82 (anchor :step t402)
% 77.64/77.82 (assume t402.a0 (forall ((U $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf44 U) tptp.nil)))))
% 77.64/77.82 (step t402.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf44 U) tptp.nil))))) (or (not (tptp.singletonP (tptp.app (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.app (tptp.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.skaf44 (tptp.app (tptp.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))))) :rule forall_inst :args ((:= U (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))))
% 77.64/77.82 (step t402.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf44 U) tptp.nil))))) (or (not (tptp.singletonP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) tptp.nil)))) :rule or :premises (t402.t1))
% 77.64/77.82 (step t402.t3 (cl (or (not (tptp.singletonP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) tptp.nil)))) :rule resolution :premises (t402.t2 t402.a0))
% 77.64/77.82 (step t402 (cl (not (forall ((U $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf44 U) tptp.nil))))) (or (not (tptp.singletonP (tptp.app (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.app (tptp.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.skaf44 (tptp.app (tptp.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)))) :rule subproof :discharge (t402.a0))
% 77.64/77.82 (step t403 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf44 U) tptp.nil)))) (or (not (tptp.singletonP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) tptp.nil)))) (or (not (tptp.singletonP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) tptp.nil)))) :rule resolution :premises (t401 t402))
% 77.64/77.82 (step t404 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf44 U) tptp.nil)))) (or (not (tptp.singletonP (tptp.app (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.app (tptp.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.skaf44 (tptp.app (tptp.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)))) (not (or (not (tptp.singletonP (tptp.app (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.app (tptp.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.skaf44 (tptp.app (tptp.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))))) :rule implies_neg2)
% 77.64/77.82 (step t405 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf44 U) tptp.nil)))) (or (not (tptp.singletonP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) tptp.nil)))) (=> (forall ((U $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf44 U) tptp.nil)))) (or (not (tptp.singletonP (tptp.app (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.app (tptp.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.skaf44 (tptp.app (tptp.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))))) :rule resolution :premises (t403 t404))
% 77.64/77.82 (step t406 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf44 U) tptp.nil)))) (or (not (tptp.singletonP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) tptp.nil))))) :rule contraction :premises (t405))
% 77.64/77.82 (step t407 (cl (not (forall ((U $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf44 U) tptp.nil))))) (or (not (tptp.singletonP (tptp.app (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.app (tptp.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.skaf44 (tptp.app (tptp.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)))) :rule implies :premises (t406))
% 77.64/77.82 (step t408 (cl (not (= (forall ((U $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf44 U) tptp.nil) U))) (forall ((U $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf44 U) tptp.nil)))))) (not (forall ((U $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf44 U) tptp.nil) U)))) (forall ((U $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf44 U) tptp.nil))))) :rule equiv_pos2)
% 77.64/77.82 (anchor :step t409 :args ((U $$unsorted) (:= U U)))
% 77.64/77.82 (step t409.t1 (cl (= U U)) :rule refl)
% 77.64/77.82 (step t409.t2 (cl (= (not (tptp.singletonP U)) (not (tptp.singletonP U)))) :rule refl)
% 77.64/77.82 (step t409.t3 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 77.64/77.82 (step t409.t4 (cl (= (= (tptp.cons (tptp.skaf44 U) tptp.nil) U) (= U (tptp.cons (tptp.skaf44 U) tptp.nil)))) :rule all_simplify)
% 77.64/77.82 (step t409.t5 (cl (= (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf44 U) tptp.nil) U)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf44 U) tptp.nil))))) :rule cong :premises (t409.t2 t409.t3 t409.t4))
% 77.64/77.82 (step t409 (cl (= (forall ((U $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf44 U) tptp.nil) U))) (forall ((U $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf44 U) tptp.nil)))))) :rule bind)
% 77.64/77.82 (step t410 (cl (forall ((U $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf44 U) tptp.nil))))) :rule resolution :premises (t408 t409 a100))
% 77.64/77.82 (step t411 (cl (or (not (tptp.singletonP (tptp.app (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.app (tptp.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.skaf44 (tptp.app (tptp.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)))) :rule resolution :premises (t407 t410))
% 77.64/77.82 (step t412 (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.skaf44 (tptp.app (tptp.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))) :rule resolution :premises (t159 t175 t400 t411))
% 77.64/77.82 (step t413 (cl (not (or (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))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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)))) (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))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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 or_pos)
% 77.64/77.82 (step t414 (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))) (= tptp.nil (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (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 (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))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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 reordering :premises (t413))
% 77.64/77.82 (step t415 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))) (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= tptp.nil (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) :rule implies_neg1)
% 77.64/77.82 (anchor :step t416)
% 77.64/77.82 (assume t416.a0 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))))
% 77.64/77.82 (step t416.t1 (cl (or (not (forall ((U $$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.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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 forall_inst :args ((:= U (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))))
% 77.64/77.82 (step t416.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= tptp.nil (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) :rule or :premises (t416.t1))
% 77.64/77.82 (step t416.t3 (cl (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= tptp.nil (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) :rule resolution :premises (t416.t2 t416.a0))
% 77.64/77.82 (step t416 (cl (not (forall ((U $$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.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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 subproof :discharge (t416.a0))
% 77.64/77.82 (step t417 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))) (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= tptp.nil (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= tptp.nil (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) :rule resolution :premises (t415 t416))
% 77.64/77.82 (step t418 (cl (=> (forall ((U $$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.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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)))) (not (or (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))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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 implies_neg2)
% 77.64/77.82 (step t419 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))) (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= tptp.nil (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (=> (forall ((U $$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.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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 (t417 t418))
% 77.64/77.82 (step t420 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))) (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= tptp.nil (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))))) :rule contraction :premises (t419))
% 77.64/77.82 (step t421 (cl (not (forall ((U $$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.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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 implies :premises (t420))
% 77.64/77.82 (step t422 (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)
% 77.64/77.82 (anchor :step t423 :args ((U $$unsorted) (:= U U)))
% 77.64/77.82 (step t423.t1 (cl (= U U)) :rule refl)
% 77.64/77.82 (step t423.t2 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 77.64/77.82 (step t423.t3 (cl (= (= (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U)) U) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))))) :rule all_simplify)
% 77.64/77.82 (step t423.t4 (cl (= (= tptp.nil U) (= tptp.nil U))) :rule refl)
% 77.64/77.82 (step t423.t5 (cl (= (or (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U)) U) (= tptp.nil U)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) :rule cong :premises (t423.t2 t423.t3 t423.t4))
% 77.64/77.82 (step t423 (cl (= (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U)) U) (= tptp.nil U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))))) :rule bind)
% 77.64/77.82 (step t424 (cl (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) :rule resolution :premises (t422 t423 a108))
% 77.64/77.82 (step t425 (cl (or (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))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.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 (t421 t424))
% 77.64/77.82 (step t426 (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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (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 (t414 t175 t341 t425))
% 77.64/77.82 (step t427 (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)
% 77.64/77.82 (step t428 (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 (t427))
% 77.64/77.82 (step t429 (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)
% 77.64/77.82 (anchor :step t430)
% 77.64/77.82 (assume t430.a0 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U))))))
% 77.64/77.82 (step t430.t1 (cl (or (not (forall ((U $$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)))
% 77.64/77.82 (step t430.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U)))))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))))) :rule or :premises (t430.t1))
% 77.64/77.82 (step t430.t3 (cl (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))))) :rule resolution :premises (t430.t2 t430.a0))
% 77.64/77.82 (step t430 (cl (not (forall ((U $$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 (t430.a0))
% 77.64/77.82 (step t431 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U))))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))))) :rule resolution :premises (t429 t430))
% 77.64/77.82 (step t432 (cl (=> (forall ((U $$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)
% 77.64/77.82 (step t433 (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 (t431 t432))
% 77.64/77.82 (step t434 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U))))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8)))))) :rule contraction :premises (t433))
% 77.64/77.82 (step t435 (cl (not (forall ((U $$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 (t434))
% 77.64/77.82 (step t436 (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 (t435 a148))
% 77.64/77.82 (step t437 (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 (t428 a194 a195 t274 t436))
% 77.64/77.82 (step t438 (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)
% 77.64/77.82 (step t439 (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 (t438))
% 77.64/77.82 (step t440 (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)
% 77.64/77.82 (anchor :step t441)
% 77.64/77.82 (assume t441.a0 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U))))))
% 77.64/77.82 (step t441.t1 (cl (or (not (forall ((U $$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))))
% 77.64/77.82 (step t441.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U)))))) (or (not (tptp.ssList tptp.sk9)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))))) :rule or :premises (t441.t1))
% 77.64/77.82 (step t441.t3 (cl (or (not (tptp.ssList tptp.sk9)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))))) :rule resolution :premises (t441.t2 t441.a0))
% 77.64/77.82 (step t441 (cl (not (forall ((U $$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 (t441.a0))
% 77.64/77.82 (step t442 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U))))) (or (not (tptp.ssList tptp.sk9)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))))) (or (not (tptp.ssList tptp.sk9)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))))) :rule resolution :premises (t440 t441))
% 77.64/77.82 (step t443 (cl (=> (forall ((U $$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)
% 77.64/77.82 (step t444 (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 (t442 t443))
% 77.64/77.82 (step t445 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U))))) (or (not (tptp.ssList tptp.sk9)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9)))))) :rule contraction :premises (t444))
% 77.64/77.82 (step t446 (cl (not (forall ((U $$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 (t445))
% 77.64/77.82 (step t447 (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 (t446 a148))
% 77.64/77.82 (step t448 (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 (t439 a196 t259 t292 t447))
% 77.64/77.82 (step t449 (cl (not (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.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.hd (tptp.app (tptp.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)))) (not (tptp.ssItem (tptp.hd (tptp.app (tptp.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.hd (tptp.app (tptp.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))) :rule or_pos)
% 77.64/77.82 (step t450 (cl (not (tptp.ssItem (tptp.hd (tptp.app (tptp.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.hd (tptp.app (tptp.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)) (not (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.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.hd (tptp.app (tptp.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))))) :rule reordering :premises (t449))
% 77.64/77.82 (step t451 (cl (not (or (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))) (tptp.ssItem (tptp.hd (tptp.app (tptp.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)))) (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))) (tptp.ssItem (tptp.hd (tptp.app (tptp.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 or_pos)
% 77.64/77.82 (step t452 (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))) (tptp.ssItem (tptp.hd (tptp.app (tptp.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)) (not (or (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))) (tptp.ssItem (tptp.hd (tptp.app (tptp.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 reordering :premises (t451))
% 77.64/77.82 (step t453 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))) (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (= tptp.nil (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U)))) :rule implies_neg1)
% 77.64/77.82 (anchor :step t454)
% 77.64/77.82 (assume t454.a0 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))))
% 77.64/77.82 (step t454.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U)))) (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (tptp.ssItem (tptp.hd (tptp.app (tptp.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 forall_inst :args ((:= U (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))))
% 77.64/77.82 (step t454.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U)))) (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (= tptp.nil (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) :rule or :premises (t454.t1))
% 77.64/77.82 (step t454.t3 (cl (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (= tptp.nil (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) :rule resolution :premises (t454.t2 t454.a0))
% 77.64/77.82 (step t454 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U)))) (or (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))) (tptp.ssItem (tptp.hd (tptp.app (tptp.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 subproof :discharge (t454.a0))
% 77.64/77.82 (step t455 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))) (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (= tptp.nil (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (= tptp.nil (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) :rule resolution :premises (t453 t454))
% 77.64/77.82 (step t456 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))) (or (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))) (tptp.ssItem (tptp.hd (tptp.app (tptp.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)))) (not (or (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))) (tptp.ssItem (tptp.hd (tptp.app (tptp.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 implies_neg2)
% 77.64/77.82 (step t457 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))) (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (= tptp.nil (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))) (or (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))) (tptp.ssItem (tptp.hd (tptp.app (tptp.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 (t455 t456))
% 77.64/77.82 (step t458 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))) (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (= tptp.nil (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))))) :rule contraction :premises (t457))
% 77.64/77.82 (step t459 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U)))) (or (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))) (tptp.ssItem (tptp.hd (tptp.app (tptp.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 implies :premises (t458))
% 77.64/77.82 (step t460 (cl (or (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))) (tptp.ssItem (tptp.hd (tptp.app (tptp.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 (t459 a75))
% 77.64/77.82 (step t461 (cl (tptp.ssItem (tptp.hd (tptp.app (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 (t452 t175 t341 t460))
% 77.64/77.82 (step t462 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) tptp.nil)))) (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U tptp.nil))))) :rule implies_neg1)
% 77.64/77.82 (anchor :step t463)
% 77.64/77.82 (assume t463.a0 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U tptp.nil)))))
% 77.64/77.82 (step t463.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U tptp.nil))))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.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.hd (tptp.app (tptp.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))))) :rule forall_inst :args ((:= U (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))))
% 77.64/77.82 (step t463.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U tptp.nil))))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) tptp.nil)))) :rule or :premises (t463.t1))
% 77.64/77.82 (step t463.t3 (cl (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) tptp.nil)))) :rule resolution :premises (t463.t2 t463.a0))
% 77.64/77.82 (step t463 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U tptp.nil))))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.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.hd (tptp.app (tptp.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)))) :rule subproof :discharge (t463.a0))
% 77.64/77.82 (step t464 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) tptp.nil)))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) tptp.nil)))) :rule resolution :premises (t462 t463))
% 77.64/77.82 (step t465 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.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.hd (tptp.app (tptp.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)))) (not (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.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.hd (tptp.app (tptp.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))))) :rule implies_neg2)
% 77.64/77.82 (step t466 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) tptp.nil)))) (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.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.hd (tptp.app (tptp.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))))) :rule resolution :premises (t464 t465))
% 77.64/77.82 (step t467 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) tptp.nil))))) :rule contraction :premises (t466))
% 77.64/77.82 (step t468 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U tptp.nil))))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.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.hd (tptp.app (tptp.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)))) :rule implies :premises (t467))
% 77.64/77.82 (step t469 (cl (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.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.hd (tptp.app (tptp.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)))) :rule resolution :premises (t468 a65))
% 77.64/77.82 (step t470 (cl (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.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))) :rule resolution :premises (t450 t461 t469))
% 77.64/77.82 (step t471 (cl (not (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (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.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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))))) (not (tptp.ssItem (tptp.skaf44 (tptp.app (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.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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)))) :rule or_pos)
% 77.64/77.82 (step t472 (cl (not (tptp.ssList tptp.nil)) (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.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.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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))) (not (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (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.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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)))))) :rule reordering :premises (t471))
% 77.64/77.82 (step t473 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf44 U))) (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf44 U)))) :rule implies_neg1)
% 77.64/77.82 (anchor :step t474)
% 77.64/77.82 (assume t474.a0 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf44 U))))
% 77.64/77.82 (step t474.t1 (cl (or (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf44 U)))) (tptp.ssItem (tptp.skaf44 (tptp.app (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 forall_inst :args ((:= U (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))))
% 77.64/77.82 (step t474.t2 (cl (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf44 U)))) (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) :rule or :premises (t474.t1))
% 77.64/77.82 (step t474.t3 (cl (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) :rule resolution :premises (t474.t2 t474.a0))
% 77.64/77.82 (step t474 (cl (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf44 U)))) (tptp.ssItem (tptp.skaf44 (tptp.app (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 subproof :discharge (t474.a0))
% 77.64/77.82 (step t475 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf44 U))) (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) :rule resolution :premises (t473 t474))
% 77.64/77.82 (step t476 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf44 U))) (tptp.ssItem (tptp.skaf44 (tptp.app (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.ssItem (tptp.skaf44 (tptp.app (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 implies_neg2)
% 77.64/77.82 (step t477 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf44 U))) (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf44 U))) (tptp.ssItem (tptp.skaf44 (tptp.app (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 (t475 t476))
% 77.64/77.82 (step t478 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf44 U))) (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))))) :rule contraction :premises (t477))
% 77.64/77.82 (step t479 (cl (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf44 U)))) (tptp.ssItem (tptp.skaf44 (tptp.app (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 implies :premises (t478))
% 77.64/77.82 (step t480 (cl (tptp.ssItem (tptp.skaf44 (tptp.app (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 (t479 a46))
% 77.64/77.82 (step t481 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (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.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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))))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) :rule implies_neg1)
% 77.64/77.82 (anchor :step t482)
% 77.64/77.82 (assume t482.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))))
% 77.64/77.82 (step t482.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (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.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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)))))) :rule forall_inst :args ((:= U (tptp.skaf44 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (:= V tptp.nil)))
% 77.64/77.82 (step t482.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (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.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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))))) :rule or :premises (t482.t1))
% 77.64/77.82 (step t482.t3 (cl (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (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.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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))))) :rule resolution :premises (t482.t2 t482.a0))
% 77.64/77.82 (step t482 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (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.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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))))) :rule subproof :discharge (t482.a0))
% 77.64/77.82 (step t483 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (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.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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))))) (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (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.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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))))) :rule resolution :premises (t481 t482))
% 77.64/77.82 (step t484 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (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.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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))))) (not (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (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.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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)))))) :rule implies_neg2)
% 77.64/77.82 (step t485 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (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.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (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.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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)))))) :rule resolution :premises (t483 t484))
% 77.64/77.82 (step t486 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (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.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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)))))) :rule contraction :premises (t485))
% 77.64/77.82 (step t487 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (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.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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))))) :rule implies :premises (t486))
% 77.64/77.82 (step t488 (cl (not (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.tl (tptp.cons U V)) V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.tl (tptp.cons U V)) V)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) :rule equiv_pos2)
% 77.64/77.82 (anchor :step t489 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 77.64/77.82 (step t489.t1 (cl (= U U)) :rule refl)
% 77.64/77.82 (step t489.t2 (cl (= V V)) :rule refl)
% 77.64/77.82 (step t489.t3 (cl (= (not (tptp.ssItem U)) (not (tptp.ssItem U)))) :rule refl)
% 77.64/77.82 (step t489.t4 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 77.64/77.82 (step t489.t5 (cl (= (= (tptp.tl (tptp.cons U V)) V) (= V (tptp.tl (tptp.cons U V))))) :rule all_simplify)
% 77.64/77.82 (step t489.t6 (cl (= (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.tl (tptp.cons U V)) V)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) :rule cong :premises (t489.t3 t489.t4 t489.t5))
% 77.64/77.82 (step t489 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.tl (tptp.cons U V)) V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))))) :rule bind)
% 77.64/77.82 (step t490 (cl (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) :rule resolution :premises (t488 t489 a95))
% 77.64/77.82 (step t491 (cl (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (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.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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))))) :rule resolution :premises (t487 t490))
% 77.64/77.82 (step t492 (cl (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.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)))) :rule resolution :premises (t472 a7 t480 t491))
% 77.64/77.82 (step t493 (cl (not (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (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.ssItem (tptp.skaf83 (tptp.app (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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (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_pos)
% 77.64/77.82 (step t494 (cl (not (tptp.ssItem (tptp.skaf83 (tptp.app (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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (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 (not (tptp.ssItem (tptp.skaf83 (tptp.app (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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (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 reordering :premises (t493))
% 77.64/77.82 (step t495 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) :rule implies_neg1)
% 77.64/77.82 (anchor :step t496)
% 77.64/77.82 (assume t496.a0 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))))
% 77.64/77.82 (step t496.t1 (cl (or (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) (tptp.ssItem (tptp.skaf83 (tptp.app (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 forall_inst :args ((:= U (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))))
% 77.64/77.82 (step t496.t2 (cl (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) :rule or :premises (t496.t1))
% 77.64/77.82 (step t496.t3 (cl (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) :rule resolution :premises (t496.t2 t496.a0))
% 77.64/77.82 (step t496 (cl (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) (tptp.ssItem (tptp.skaf83 (tptp.app (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 subproof :discharge (t496.a0))
% 77.64/77.82 (step t497 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) :rule resolution :premises (t495 t496))
% 77.64/77.82 (step t498 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 (tptp.app (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.ssItem (tptp.skaf83 (tptp.app (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 implies_neg2)
% 77.64/77.82 (step t499 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 (tptp.app (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 (t497 t498))
% 77.64/77.82 (step t500 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))))) :rule contraction :premises (t499))
% 77.64/77.82 (step t501 (cl (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) (tptp.ssItem (tptp.skaf83 (tptp.app (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 implies :premises (t500))
% 77.64/77.82 (step t502 (cl (tptp.ssItem (tptp.skaf83 (tptp.app (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 (t501 a11))
% 77.64/77.82 (step t503 (cl (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) :rule implies_neg1)
% 77.64/77.82 (anchor :step t504)
% 77.64/77.82 (assume t504.a0 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))))
% 77.64/77.82 (step t504.t1 (cl (or (not (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) (tptp.ssList (tptp.skaf82 (tptp.app (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 forall_inst :args ((:= U (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))))
% 77.64/77.82 (step t504.t2 (cl (not (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) :rule or :premises (t504.t1))
% 77.64/77.82 (step t504.t3 (cl (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) :rule resolution :premises (t504.t2 t504.a0))
% 77.64/77.82 (step t504 (cl (not (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) (tptp.ssList (tptp.skaf82 (tptp.app (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 subproof :discharge (t504.a0))
% 77.64/77.82 (step t505 (cl (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) :rule resolution :premises (t503 t504))
% 77.64/77.82 (step t506 (cl (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 (tptp.app (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.skaf82 (tptp.app (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 implies_neg2)
% 77.64/77.82 (step t507 (cl (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 (tptp.app (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 (t505 t506))
% 77.64/77.82 (step t508 (cl (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))))) :rule contraction :premises (t507))
% 77.64/77.82 (step t509 (cl (not (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) (tptp.ssList (tptp.skaf82 (tptp.app (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 implies :premises (t508))
% 77.64/77.82 (step t510 (cl (tptp.ssList (tptp.skaf82 (tptp.app (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 (t509 a12))
% 77.64/77.82 (step t511 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))))))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) :rule implies_neg1)
% 77.64/77.82 (anchor :step t512)
% 77.64/77.82 (assume t512.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))))
% 77.64/77.82 (step t512.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (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 forall_inst :args ((:= U (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (:= V (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))))
% 77.64/77.82 (step t512.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (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 (t512.t1))
% 77.64/77.82 (step t512.t3 (cl (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (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 (t512.t2 t512.a0))
% 77.64/77.82 (step t512 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (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 subproof :discharge (t512.a0))
% 77.64/77.82 (step t513 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (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 (t511 t512))
% 77.64/77.82 (step t514 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (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 (not (tptp.ssItem (tptp.skaf83 (tptp.app (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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (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 implies_neg2)
% 77.64/77.82 (step t515 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (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 (t513 t514))
% 77.64/77.82 (step t516 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (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 (t515))
% 77.64/77.82 (step t517 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (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 implies :premises (t516))
% 77.64/77.82 (step t518 (cl (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (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 (t517 t490))
% 77.64/77.82 (step t519 (cl (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (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 (t494 t502 t510 t518))
% 77.64/77.82 (step t520 (cl (not (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (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.ssItem (tptp.skaf83 (tptp.app (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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (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_pos)
% 77.64/77.82 (step t521 (cl (not (tptp.ssItem (tptp.skaf83 (tptp.app (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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (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 (not (tptp.ssItem (tptp.skaf83 (tptp.app (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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (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 reordering :premises (t520))
% 77.64/77.82 (step t522 (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.app (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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) 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)
% 77.64/77.82 (anchor :step t523)
% 77.64/77.82 (assume t523.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))))
% 77.64/77.82 (step t523.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.app (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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (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 forall_inst :args ((:= U (tptp.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))) (:= V (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))))
% 77.64/77.82 (step t523.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.app (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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (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 (t523.t1))
% 77.64/77.82 (step t523.t3 (cl (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (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 (t523.t2 t523.a0))
% 77.64/77.82 (step t523 (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.app (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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (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 subproof :discharge (t523.a0))
% 77.64/77.82 (step t524 (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.app (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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9))))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (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 (t522 t523))
% 77.64/77.82 (step t525 (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.app (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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (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 (not (tptp.ssItem (tptp.skaf83 (tptp.app (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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (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 implies_neg2)
% 77.64/77.82 (step t526 (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.app (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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) 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.app (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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (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 (t524 t525))
% 77.64/77.82 (step t527 (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.app (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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (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 (t526))
% 77.64/77.82 (step t528 (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.app (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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (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 implies :premises (t527))
% 77.64/77.82 (step t529 (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)
% 77.64/77.82 (anchor :step t530 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 77.64/77.82 (step t530.t1 (cl (= U U)) :rule refl)
% 77.64/77.82 (step t530.t2 (cl (= V V)) :rule refl)
% 77.64/77.82 (step t530.t3 (cl (= (not (tptp.ssItem U)) (not (tptp.ssItem U)))) :rule refl)
% 77.64/77.82 (step t530.t4 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 77.64/77.82 (step t530.t5 (cl (= (= (tptp.hd (tptp.cons U V)) U) (= U (tptp.hd (tptp.cons U V))))) :rule all_simplify)
% 77.64/77.82 (step t530.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 (t530.t3 t530.t4 t530.t5))
% 77.64/77.82 (step t530 (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)
% 77.64/77.82 (step t531 (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 (t529 t530 a96))
% 77.64/77.82 (step t532 (cl (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (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.skaf82 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (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 (t528 t531))
% 77.64/77.82 (step t533 (cl (= (tptp.skaf83 (tptp.app (tptp.app (tptp.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.skaf83 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk9)) (tptp.skaf82 (tptp.app (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 t502 t510 t532))
% 77.64/77.82 (step t534 (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)
% 77.64/77.82 (step t535 (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 (t534))
% 77.64/77.82 (step t536 (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)
% 77.64/77.82 (anchor :step t537)
% 77.64/77.82 (assume t537.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)))))
% 77.64/77.82 (step t537.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)))
% 77.64/77.82 (step t537.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 (t537.t1))
% 77.64/77.82 (step t537.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 (t537.t2 t537.a0))
% 77.64/77.82 (step t537 (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 (t537.a0))
% 77.64/77.82 (step t538 (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 (t536 t537))
% 77.64/77.82 (step t539 (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)
% 77.64/77.82 (step t540 (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 (t538 t539))
% 77.64/77.82 (step t541 (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 (t540))
% 77.64/77.82 (step t542 (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 (t541))
% 77.64/77.82 (step t543 (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 (t542 a119))
% 77.64/77.82 (step t544 (cl (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9))) :rule resolution :premises (t535 a193 a196 t543))
% 77.64/77.82 (step t545 (cl (not (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.sk8)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.sk8)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8))) :rule or_pos)
% 77.64/77.82 (step t546 (cl (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.sk8)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (not (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.sk8)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8))))) :rule reordering :premises (t545))
% 77.64/77.82 (step t547 (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.sk5)) (not (tptp.ssList tptp.sk8)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)))) (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)
% 77.64/77.82 (anchor :step t548)
% 77.64/77.82 (assume t548.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)))))
% 77.64/77.82 (step t548.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.sk5)) (not (tptp.ssList tptp.sk8)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8))))) :rule forall_inst :args ((:= U tptp.sk5) (:= V tptp.sk8)))
% 77.64/77.82 (step t548.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.sk5)) (not (tptp.ssList tptp.sk8)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)))) :rule or :premises (t548.t1))
% 77.64/77.82 (step t548.t3 (cl (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.sk8)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)))) :rule resolution :premises (t548.t2 t548.a0))
% 77.64/77.82 (step t548 (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.sk5)) (not (tptp.ssList tptp.sk8)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)))) :rule subproof :discharge (t548.a0))
% 77.64/77.82 (step t549 (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.sk5)) (not (tptp.ssList tptp.sk8)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)))) (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.sk8)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)))) :rule resolution :premises (t547 t548))
% 77.64/77.82 (step t550 (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.sk5)) (not (tptp.ssList tptp.sk8)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)))) (not (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.sk8)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8))))) :rule implies_neg2)
% 77.64/77.82 (step t551 (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.sk5)) (not (tptp.ssList tptp.sk8)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)))) (=> (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.sk5)) (not (tptp.ssList tptp.sk8)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8))))) :rule resolution :premises (t549 t550))
% 77.64/77.82 (step t552 (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.sk5)) (not (tptp.ssList tptp.sk8)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8))))) :rule contraction :premises (t551))
% 77.64/77.82 (step t553 (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.sk5)) (not (tptp.ssList tptp.sk8)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)))) :rule implies :premises (t552))
% 77.64/77.82 (step t554 (cl (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.sk8)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)))) :rule resolution :premises (t553 a119))
% 77.64/77.82 (step t555 (cl (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8))) :rule resolution :premises (t546 a192 a195 t554))
% 77.64/77.82 (step t556 (cl (tptp.strictorderedP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) :rule resolution :premises (t146 t157 t94 t120 t412 t426 t437 t448 t470 t492 t519 t533 t544 t555))
% 77.64/77.82 (step t557 (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.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.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.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 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.sk7 (tptp.app tptp.nil tptp.sk7))) (not (= tptp.sk8 (tptp.app tptp.nil tptp.sk8))) (not (= tptp.sk9 (tptp.app 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.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.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)))) :rule and_neg)
% 77.64/77.82 (step t558 (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.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.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.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil 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.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.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.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)))) :rule implies_neg1)
% 77.64/77.82 (anchor :step t559)
% 77.64/77.82 (assume t559.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)))
% 77.64/77.82 (assume t559.a1 (= tptp.sk7 (tptp.app tptp.nil tptp.sk7)))
% 77.64/77.82 (assume t559.a2 (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)))
% 77.64/77.82 (assume t559.a3 (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))
% 77.64/77.82 (assume t559.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))))
% 77.64/77.82 (assume t559.a5 (= (tptp.app (tptp.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))))
% 77.64/77.82 (assume t559.a6 (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)))
% 77.64/77.82 (assume t559.a7 (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)))
% 77.64/77.82 (step t559.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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (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.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil 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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (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 implies_neg1)
% 77.64/77.82 (anchor :step t559.t2)
% 77.64/77.82 (assume t559.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)))
% 77.64/77.82 (assume t559.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))))
% 77.64/77.82 (assume t559.t2.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))))
% 77.64/77.82 (assume t559.t2.a3 (= tptp.sk7 (tptp.app tptp.nil tptp.sk7)))
% 77.64/77.82 (assume t559.t2.a4 (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)))
% 77.64/77.82 (assume t559.t2.a5 (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)))
% 77.64/77.82 (assume t559.t2.a6 (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)))
% 77.64/77.82 (assume t559.t2.a7 (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))
% 77.64/77.82 (step t559.t2.t1 (cl (= (= (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9)))) true) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9)))))) :rule equiv_simplify)
% 77.64/77.82 (step t559.t2.t2 (cl (not (= (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9)))) true)) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) :rule equiv1 :premises (t559.t2.t1))
% 77.64/77.82 (step t559.t2.t3 (cl (= tptp.sk5 tptp.sk5)) :rule refl)
% 77.64/77.82 (step t559.t2.t4 (cl (= (tptp.app tptp.nil tptp.sk8) tptp.sk8)) :rule symm :premises (t559.t2.a5))
% 77.64/77.82 (step t559.t2.t5 (cl (= (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8)) (tptp.cons tptp.sk5 tptp.sk8))) :rule cong :premises (t559.t2.t3 t559.t2.t4))
% 77.64/77.82 (step t559.t2.t6 (cl (= (tptp.cons tptp.sk5 tptp.sk8) (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) :rule symm :premises (t559.t2.a4))
% 77.64/77.82 (step t559.t2.t7 (cl (= (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) :rule trans :premises (t559.t2.t5 t559.t2.t6))
% 77.64/77.82 (step t559.t2.t8 (cl (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.app (tptp.app tptp.nil tptp.sk7) (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8)))) :rule cong :premises (t559.t2.a3 t559.t2.t7))
% 77.64/77.82 (step t559.t2.t9 (cl (= (tptp.app tptp.nil tptp.sk7) tptp.sk7)) :rule symm :premises (t559.t2.a3))
% 77.64/77.82 (step t559.t2.t10 (cl (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8))) :rule refl)
% 77.64/77.82 (step t559.t2.t11 (cl (= (tptp.app (tptp.app tptp.nil tptp.sk7) (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8)))) :rule cong :premises (t559.t2.t9 t559.t2.t10))
% 77.64/77.82 (step t559.t2.t12 (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 (t559.t2.a2))
% 77.64/77.82 (step t559.t2.t13 (cl (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk8))) :rule trans :premises (t559.t2.t8 t559.t2.t11 t559.t2.t12))
% 77.64/77.82 (step t559.t2.t14 (cl (= tptp.sk6 tptp.sk6)) :rule refl)
% 77.64/77.82 (step t559.t2.t15 (cl (= (tptp.app tptp.nil tptp.sk9) tptp.sk9)) :rule symm :premises (t559.t2.a7))
% 77.64/77.82 (step t559.t2.t16 (cl (= (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9)) (tptp.cons tptp.sk6 tptp.sk9))) :rule cong :premises (t559.t2.t14 t559.t2.t15))
% 77.64/77.82 (step t559.t2.t17 (cl (= (tptp.cons tptp.sk6 tptp.sk9) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) :rule symm :premises (t559.t2.a6))
% 77.64/77.82 (step t559.t2.t18 (cl (= (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9))) :rule trans :premises (t559.t2.t16 t559.t2.t17))
% 77.64/77.82 (step t559.t2.t19 (cl (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app 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 cong :premises (t559.t2.t13 t559.t2.t18))
% 77.64/77.82 (step t559.t2.t20 (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 (t559.t2.a1))
% 77.64/77.82 (step t559.t2.t21 (cl (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app 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 trans :premises (t559.t2.t19 t559.t2.t20))
% 77.64/77.82 (step t559.t2.t22 (cl (= (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil 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 (t559.t2.t21))
% 77.64/77.82 (step t559.t2.t23 (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)
% 77.64/77.82 (step t559.t2.t24 (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 (t559.t2.t23))
% 77.64/77.82 (step t559.t2.t25 (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 (t559.t2.t24 t559.t2.a0))
% 77.64/77.82 (step t559.t2.t26 (cl (= (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9)))) true)) :rule trans :premises (t559.t2.t22 t559.t2.t25))
% 77.64/77.82 (step t559.t2.t27 (cl (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) :rule resolution :premises (t559.t2.t2 t559.t2.t26))
% 77.64/77.82 (step t559.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.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.sk7 (tptp.app tptp.nil tptp.sk7))) (not (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8))) (not (= tptp.sk8 (tptp.app tptp.nil tptp.sk8))) (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))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) :rule subproof :discharge (t559.t2.a0 t559.t2.a1 t559.t2.a2 t559.t2.a3 t559.t2.a4 t559.t2.a5 t559.t2.a6 t559.t2.a7))
% 77.64/77.82 (step t559.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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (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.ssList (tptp.app (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)
% 77.64/77.82 (step t559.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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (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.app (tptp.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)
% 77.64/77.82 (step t559.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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (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.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)
% 77.64/77.82 (step t559.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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (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.sk7 (tptp.app tptp.nil tptp.sk7))) :rule and_pos)
% 77.64/77.82 (step t559.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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (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.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8))) :rule and_pos)
% 77.64/77.82 (step t559.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.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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (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.sk8 (tptp.app tptp.nil tptp.sk8))) :rule and_pos)
% 77.64/77.82 (step t559.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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (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.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9))) :rule and_pos)
% 77.64/77.82 (step t559.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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (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.app tptp.nil tptp.sk9))) :rule and_pos)
% 77.64/77.82 (step t559.t11 (cl (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil 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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil 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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil 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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil 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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil 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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil 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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil 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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil 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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (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 resolution :premises (t559.t2 t559.t3 t559.t4 t559.t5 t559.t6 t559.t7 t559.t8 t559.t9 t559.t10))
% 77.64/77.82 (step t559.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.app (tptp.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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil 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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil 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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil 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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil 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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil 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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil 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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil 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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (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.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) :rule reordering :premises (t559.t11))
% 77.64/77.83 (step t559.t13 (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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (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.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) :rule contraction :premises (t559.t12))
% 77.64/77.83 (step t559.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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (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.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) :rule resolution :premises (t559.t1 t559.t13))
% 77.64/77.83 (step t559.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.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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (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.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9)))))) :rule implies_neg2)
% 77.64/77.83 (step t559.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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (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.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil 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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (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.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9)))))) :rule resolution :premises (t559.t14 t559.t15))
% 77.64/77.83 (step t559.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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (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.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9)))))) :rule contraction :premises (t559.t16))
% 77.64/77.83 (step t559.t18 (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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (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.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) :rule implies :premises (t559.t17))
% 77.64/77.83 (step t559.t19 (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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil 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.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.sk7 (tptp.app tptp.nil tptp.sk7))) (not (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8))) (not (= tptp.sk8 (tptp.app tptp.nil tptp.sk8))) (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)))) :rule and_neg)
% 77.64/77.83 (step t559.t20 (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.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.sk7 (tptp.app tptp.nil tptp.sk7)) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= (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 resolution :premises (t559.t19 t559.a0 t559.a5 t559.a4 t559.a1 t559.a7 t559.a2 t559.a6 t559.a3))
% 77.64/77.83 (step t559.t21 (cl (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) :rule resolution :premises (t559.t18 t559.t20))
% 77.64/77.83 (step t559 (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.sk7 (tptp.app tptp.nil tptp.sk7))) (not (= tptp.sk8 (tptp.app tptp.nil tptp.sk8))) (not (= tptp.sk9 (tptp.app 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.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.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) :rule subproof :discharge (t559.a0 t559.a1 t559.a2 t559.a3 t559.a4 t559.a5 t559.a6 t559.a7))
% 77.64/77.83 (step t560 (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.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.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.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 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)
% 77.64/77.83 (step t561 (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.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.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.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)))) (= tptp.sk7 (tptp.app tptp.nil tptp.sk7))) :rule and_pos)
% 77.64/77.83 (step t562 (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.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.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.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)))) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8))) :rule and_pos)
% 77.64/77.83 (step t563 (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.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.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.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9))) :rule and_pos)
% 77.64/77.83 (step t564 (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.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.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.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 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)
% 77.64/77.83 (step t565 (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.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.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.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 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 and_pos)
% 77.64/77.83 (step t566 (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.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.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.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)))) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk9) (tptp.cons tptp.sk6 tptp.sk9))) :rule and_pos)
% 77.64/77.83 (step t567 (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.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.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.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)))) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8))) :rule and_pos)
% 77.64/77.83 (step t568 (cl (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil 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.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.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.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 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.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.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.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 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.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.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.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 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.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.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.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 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.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.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.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 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.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.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.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 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.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.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.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 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.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.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.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8))))) :rule resolution :premises (t559 t560 t561 t562 t563 t564 t565 t566 t567))
% 77.64/77.83 (step t569 (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.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.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.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 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.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.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.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 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.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.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.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 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.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.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.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 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.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.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.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 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.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.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.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 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.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.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.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 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.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.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.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) :rule reordering :premises (t568))
% 77.64/77.83 (step t570 (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.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.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.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) :rule contraction :premises (t569))
% 77.64/77.83 (step t571 (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.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.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.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) :rule resolution :premises (t558 t570))
% 77.64/77.83 (step t572 (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.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.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.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9)))))) :rule implies_neg2)
% 77.64/77.83 (step t573 (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.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.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.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil 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.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.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.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9)))))) :rule resolution :premises (t571 t572))
% 77.64/77.83 (step t574 (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.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.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.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9)))))) :rule contraction :premises (t573))
% 77.64/77.83 (step t575 (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.sk7 (tptp.app tptp.nil tptp.sk7)) (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)) (= tptp.sk9 (tptp.app 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.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.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8)))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) :rule implies :premises (t574))
% 77.64/77.83 (step t576 (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.sk7 (tptp.app tptp.nil tptp.sk7))) (not (= tptp.sk8 (tptp.app tptp.nil tptp.sk8))) (not (= tptp.sk9 (tptp.app 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.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.app (tptp.cons tptp.sk5 tptp.nil) tptp.sk8) (tptp.cons tptp.sk5 tptp.sk8))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) :rule resolution :premises (t557 t575))
% 77.64/77.83 (step t577 (cl (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) :rule resolution :premises (t576 t175 t157 t94 t120 t437 t448 t544 t555))
% 77.64/77.83 (step t578 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X))) (or (not (tptp.ssList (tptp.app tptp.nil tptp.sk9))) (not (tptp.ssList (tptp.app tptp.nil tptp.sk8))) (not (tptp.ssList tptp.sk7)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (not (tptp.strictorderedP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) (tptp.lt tptp.sk5 tptp.sk6))) (forall ((U $$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)
% 77.64/77.83 (anchor :step t579)
% 77.64/77.83 (assume t579.a0 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X))))
% 77.64/77.83 (step t579.t1 (cl (or (not (forall ((U $$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.app tptp.nil tptp.sk9))) (not (tptp.ssList (tptp.app tptp.nil tptp.sk8))) (not (tptp.ssList tptp.sk7)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (not (tptp.strictorderedP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) (tptp.lt tptp.sk5 tptp.sk6)))) :rule forall_inst :args ((:= U tptp.sk7) (:= V tptp.sk5) (:= W (tptp.app tptp.nil tptp.sk8)) (:= X tptp.sk6) (:= Y (tptp.app tptp.nil tptp.sk9))))
% 77.64/77.83 (step t579.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X)))) (or (not (tptp.ssList (tptp.app tptp.nil tptp.sk9))) (not (tptp.ssList (tptp.app tptp.nil tptp.sk8))) (not (tptp.ssList tptp.sk7)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (not (tptp.strictorderedP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) (tptp.lt tptp.sk5 tptp.sk6))) :rule or :premises (t579.t1))
% 77.64/77.83 (step t579.t3 (cl (or (not (tptp.ssList (tptp.app tptp.nil tptp.sk9))) (not (tptp.ssList (tptp.app tptp.nil tptp.sk8))) (not (tptp.ssList tptp.sk7)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (not (tptp.strictorderedP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) (tptp.lt tptp.sk5 tptp.sk6))) :rule resolution :premises (t579.t2 t579.a0))
% 77.64/77.83 (step t579 (cl (not (forall ((U $$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.app tptp.nil tptp.sk9))) (not (tptp.ssList (tptp.app tptp.nil tptp.sk8))) (not (tptp.ssList tptp.sk7)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (not (tptp.strictorderedP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) (tptp.lt tptp.sk5 tptp.sk6))) :rule subproof :discharge (t579.a0))
% 77.64/77.83 (step t580 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X))) (or (not (tptp.ssList (tptp.app tptp.nil tptp.sk9))) (not (tptp.ssList (tptp.app tptp.nil tptp.sk8))) (not (tptp.ssList tptp.sk7)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (not (tptp.strictorderedP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) (tptp.lt tptp.sk5 tptp.sk6))) (or (not (tptp.ssList (tptp.app tptp.nil tptp.sk9))) (not (tptp.ssList (tptp.app tptp.nil tptp.sk8))) (not (tptp.ssList tptp.sk7)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (not (tptp.strictorderedP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) (tptp.lt tptp.sk5 tptp.sk6))) :rule resolution :premises (t578 t579))
% 77.64/77.83 (step t581 (cl (=> (forall ((U $$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.app tptp.nil tptp.sk9))) (not (tptp.ssList (tptp.app tptp.nil tptp.sk8))) (not (tptp.ssList tptp.sk7)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (not (tptp.strictorderedP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) (tptp.lt tptp.sk5 tptp.sk6))) (not (or (not (tptp.ssList (tptp.app tptp.nil tptp.sk9))) (not (tptp.ssList (tptp.app tptp.nil tptp.sk8))) (not (tptp.ssList tptp.sk7)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (not (tptp.strictorderedP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) (tptp.lt tptp.sk5 tptp.sk6)))) :rule implies_neg2)
% 77.64/77.83 (step t582 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X))) (or (not (tptp.ssList (tptp.app tptp.nil tptp.sk9))) (not (tptp.ssList (tptp.app tptp.nil tptp.sk8))) (not (tptp.ssList tptp.sk7)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (not (tptp.strictorderedP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) (tptp.lt tptp.sk5 tptp.sk6))) (=> (forall ((U $$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.app tptp.nil tptp.sk9))) (not (tptp.ssList (tptp.app tptp.nil tptp.sk8))) (not (tptp.ssList tptp.sk7)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (not (tptp.strictorderedP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) (tptp.lt tptp.sk5 tptp.sk6)))) :rule resolution :premises (t580 t581))
% 77.64/77.83 (step t583 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X))) (or (not (tptp.ssList (tptp.app tptp.nil tptp.sk9))) (not (tptp.ssList (tptp.app tptp.nil tptp.sk8))) (not (tptp.ssList tptp.sk7)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (not (tptp.strictorderedP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) (tptp.lt tptp.sk5 tptp.sk6)))) :rule contraction :premises (t582))
% 77.64/77.83 (step t584 (cl (not (forall ((U $$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.app tptp.nil tptp.sk9))) (not (tptp.ssList (tptp.app tptp.nil tptp.sk8))) (not (tptp.ssList tptp.sk7)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (not (tptp.strictorderedP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) (tptp.lt tptp.sk5 tptp.sk6))) :rule implies :premises (t583))
% 77.64/77.83 (step t585 (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)
% 77.64/77.83 (anchor :step t586 :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)))
% 77.64/77.83 (step t586.t1 (cl (= U U)) :rule refl)
% 77.64/77.83 (step t586.t2 (cl (= V V)) :rule refl)
% 77.64/77.83 (step t586.t3 (cl (= W W)) :rule refl)
% 77.64/77.83 (step t586.t4 (cl (= X X)) :rule refl)
% 77.64/77.83 (step t586.t5 (cl (= Y Y)) :rule refl)
% 77.64/77.83 (step t586.t6 (cl (= Z Z)) :rule refl)
% 77.64/77.83 (step t586.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)
% 77.64/77.83 (step t586.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 (t586.t7))
% 77.64/77.83 (step t586.t9 (cl (= (not (tptp.ssList Y)) (not (tptp.ssList Y)))) :rule refl)
% 77.64/77.83 (step t586.t10 (cl (= (not (tptp.ssList W)) (not (tptp.ssList W)))) :rule refl)
% 77.64/77.83 (step t586.t11 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 77.64/77.83 (step t586.t12 (cl (= (not (tptp.ssItem X)) (not (tptp.ssItem X)))) :rule refl)
% 77.64/77.83 (step t586.t13 (cl (= (not (tptp.ssItem V)) (not (tptp.ssItem V)))) :rule refl)
% 77.64/77.83 (step t586.t14 (cl (= (not (tptp.strictorderedP Z)) (not (tptp.strictorderedP Z)))) :rule refl)
% 77.64/77.83 (step t586.t15 (cl (= (not (tptp.ssList Z)) (not (tptp.ssList Z)))) :rule refl)
% 77.64/77.83 (step t586.t16 (cl (= (tptp.lt V X) (tptp.lt V X))) :rule refl)
% 77.64/77.83 (step t586.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 (t586.t8 t586.t9 t586.t10 t586.t11 t586.t12 t586.t13 t586.t14 t586.t15 t586.t16))
% 77.64/77.83 (step t586 (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)
% 77.64/77.83 (step t587 (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 $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X))))) :rule all_simplify)
% 77.64/77.83 (anchor :step t588 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V) (W $$unsorted) (:= W W) (X $$unsorted) (:= X X) (Y $$unsorted) (:= Y Y)))
% 77.64/77.83 (step t588.t1 (cl (= U U)) :rule refl)
% 77.64/77.83 (step t588.t2 (cl (= V V)) :rule refl)
% 77.64/77.83 (step t588.t3 (cl (= W W)) :rule refl)
% 77.64/77.83 (step t588.t4 (cl (= X X)) :rule refl)
% 77.64/77.83 (step t588.t5 (cl (= Y Y)) :rule refl)
% 77.64/77.83 (step t588.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)
% 77.64/77.83 (step t588.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 (t588.t6))
% 77.64/77.83 (step t588.t8 (cl (= (not true) false)) :rule all_simplify)
% 77.64/77.83 (step t588.t9 (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 (t588.t7 t588.t8))
% 77.64/77.83 (step t588.t10 (cl (= (not (tptp.ssList Y)) (not (tptp.ssList Y)))) :rule refl)
% 77.64/77.83 (step t588.t11 (cl (= (not (tptp.ssList W)) (not (tptp.ssList W)))) :rule refl)
% 77.64/77.83 (step t588.t12 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 77.64/77.83 (step t588.t13 (cl (= (not (tptp.ssItem X)) (not (tptp.ssItem X)))) :rule refl)
% 77.64/77.83 (step t588.t14 (cl (= (not (tptp.ssItem V)) (not (tptp.ssItem V)))) :rule refl)
% 77.64/77.83 (step t588.t15 (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)
% 77.64/77.83 (step t588.t16 (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)
% 77.64/77.83 (step t588.t17 (cl (= (tptp.lt V X) (tptp.lt V X))) :rule refl)
% 77.64/77.83 (step t588.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.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 (t588.t9 t588.t10 t588.t11 t588.t12 t588.t13 t588.t14 t588.t15 t588.t16 t588.t17))
% 77.64/77.83 (step t588.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.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)
% 77.64/77.83 (step t588.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.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 (t588.t18 t588.t19))
% 77.64/77.83 (step t588 (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)
% 77.64/77.83 (step t589 (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 $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X))))) :rule trans :premises (t587 t588))
% 77.64/77.83 (step t590 (cl (= (forall ((U $$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 (t586 t589))
% 77.64/77.83 (step t591 (cl (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X)))) :rule resolution :premises (t585 t590 a180))
% 77.64/77.83 (step t592 (cl (or (not (tptp.ssList (tptp.app tptp.nil tptp.sk9))) (not (tptp.ssList (tptp.app tptp.nil tptp.sk8))) (not (tptp.ssList tptp.sk7)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (not (tptp.strictorderedP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 (tptp.app tptp.nil tptp.sk8))) (tptp.cons tptp.sk6 (tptp.app tptp.nil tptp.sk9))))) (tptp.lt tptp.sk5 tptp.sk6))) :rule resolution :premises (t584 t591))
% 77.64/77.83 (step t593 (cl (tptp.lt tptp.sk5 tptp.sk6)) :rule resolution :premises (t66 a192 a193 a194 t95 t121 t556 t577 t592))
% 77.64/77.83 (step t594 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq U V))) (or (not (tptp.lt tptp.sk5 tptp.sk6)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.leq tptp.sk5 tptp.sk6))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq U V)))) :rule implies_neg1)
% 77.64/77.83 (anchor :step t595)
% 77.64/77.83 (assume t595.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq U V))))
% 77.64/77.83 (step t595.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq U V)))) (or (not (tptp.lt tptp.sk5 tptp.sk6)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.leq tptp.sk5 tptp.sk6)))) :rule forall_inst :args ((:= U tptp.sk5) (:= V tptp.sk6)))
% 77.64/77.83 (step t595.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq U V)))) (or (not (tptp.lt tptp.sk5 tptp.sk6)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.leq tptp.sk5 tptp.sk6))) :rule or :premises (t595.t1))
% 77.64/77.83 (step t595.t3 (cl (or (not (tptp.lt tptp.sk5 tptp.sk6)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.leq tptp.sk5 tptp.sk6))) :rule resolution :premises (t595.t2 t595.a0))
% 77.64/77.83 (step t595 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq U V)))) (or (not (tptp.lt tptp.sk5 tptp.sk6)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.leq tptp.sk5 tptp.sk6))) :rule subproof :discharge (t595.a0))
% 77.64/77.83 (step t596 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq U V))) (or (not (tptp.lt tptp.sk5 tptp.sk6)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.leq tptp.sk5 tptp.sk6))) (or (not (tptp.lt tptp.sk5 tptp.sk6)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.leq tptp.sk5 tptp.sk6))) :rule resolution :premises (t594 t595))
% 77.64/77.83 (step t597 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq U V))) (or (not (tptp.lt tptp.sk5 tptp.sk6)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.leq tptp.sk5 tptp.sk6))) (not (or (not (tptp.lt tptp.sk5 tptp.sk6)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.leq tptp.sk5 tptp.sk6)))) :rule implies_neg2)
% 77.64/77.83 (step t598 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq U V))) (or (not (tptp.lt tptp.sk5 tptp.sk6)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.leq tptp.sk5 tptp.sk6))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq U V))) (or (not (tptp.lt tptp.sk5 tptp.sk6)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.leq tptp.sk5 tptp.sk6)))) :rule resolution :premises (t596 t597))
% 77.64/77.83 (step t599 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq U V))) (or (not (tptp.lt tptp.sk5 tptp.sk6)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.leq tptp.sk5 tptp.sk6)))) :rule contraction :premises (t598))
% 77.64/77.83 (step t600 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq U V)))) (or (not (tptp.lt tptp.sk5 tptp.sk6)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.leq tptp.sk5 tptp.sk6))) :rule implies :premises (t599))
% 77.64/77.83 (step t601 (cl (or (not (tptp.lt tptp.sk5 tptp.sk6)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.leq tptp.sk5 tptp.sk6))) :rule resolution :premises (t600 a102))
% 77.64/77.83 (step t602 (cl (tptp.leq tptp.sk5 tptp.sk6)) :rule resolution :premises (t64 a192 a193 t593 t601))
% 77.64/77.83 (step t603 (cl (not (= (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (= U V))) (or (not (tptp.leq tptp.sk6 tptp.sk5)) (not (tptp.leq tptp.sk5 tptp.sk6)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (= tptp.sk6 tptp.sk5))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (= U V))) (or (not (tptp.leq tptp.sk6 tptp.sk5)) (not (tptp.leq tptp.sk5 tptp.sk6)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (= tptp.sk5 tptp.sk6))))) (not (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (= U V))) (or (not (tptp.leq tptp.sk6 tptp.sk5)) (not (tptp.leq tptp.sk5 tptp.sk6)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (= tptp.sk6 tptp.sk5)))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (= U V))) (or (not (tptp.leq tptp.sk6 tptp.sk5)) (not (tptp.leq tptp.sk5 tptp.sk6)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (= tptp.sk5 tptp.sk6)))) :rule equiv_pos2)
% 77.64/77.83 (step t604 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (= U V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (= U V))))) :rule refl)
% 77.64/77.83 (step t605 (cl (= (not (tptp.leq tptp.sk6 tptp.sk5)) (not (tptp.leq tptp.sk6 tptp.sk5)))) :rule refl)
% 77.64/77.83 (step t606 (cl (= (not (tptp.leq tptp.sk5 tptp.sk6)) (not (tptp.leq tptp.sk5 tptp.sk6)))) :rule refl)
% 77.64/77.83 (step t607 (cl (= (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk6)))) :rule refl)
% 77.64/77.83 (step t608 (cl (= (not (tptp.ssItem tptp.sk5)) (not (tptp.ssItem tptp.sk5)))) :rule refl)
% 77.64/77.83 (step t609 (cl (= (= tptp.sk6 tptp.sk5) (= tptp.sk5 tptp.sk6))) :rule all_simplify)
% 77.64/77.83 (step t610 (cl (= (or (not (tptp.leq tptp.sk6 tptp.sk5)) (not (tptp.leq tptp.sk5 tptp.sk6)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (= tptp.sk6 tptp.sk5)) (or (not (tptp.leq tptp.sk6 tptp.sk5)) (not (tptp.leq tptp.sk5 tptp.sk6)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (= tptp.sk5 tptp.sk6)))) :rule cong :premises (t605 t606 t607 t608 t609))
% 77.64/77.83 (step t611 (cl (= (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (= U V))) (or (not (tptp.leq tptp.sk6 tptp.sk5)) (not (tptp.leq tptp.sk5 tptp.sk6)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (= tptp.sk6 tptp.sk5))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (= U V))) (or (not (tptp.leq tptp.sk6 tptp.sk5)) (not (tptp.leq tptp.sk5 tptp.sk6)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (= tptp.sk5 tptp.sk6))))) :rule cong :premises (t604 t610))
% 77.64/77.83 (step t612 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (= U V))) (or (not (tptp.leq tptp.sk6 tptp.sk5)) (not (tptp.leq tptp.sk5 tptp.sk6)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (= tptp.sk6 tptp.sk5))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (= U V)))) :rule implies_neg1)
% 77.64/77.83 (anchor :step t613)
% 77.64/77.83 (assume t613.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (= U V))))
% 77.64/77.83 (step t613.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (= U V)))) (or (not (tptp.leq tptp.sk6 tptp.sk5)) (not (tptp.leq tptp.sk5 tptp.sk6)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (= tptp.sk6 tptp.sk5)))) :rule forall_inst :args ((:= U tptp.sk6) (:= V tptp.sk5)))
% 77.64/77.83 (step t613.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (= U V)))) (or (not (tptp.leq tptp.sk6 tptp.sk5)) (not (tptp.leq tptp.sk5 tptp.sk6)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (= tptp.sk6 tptp.sk5))) :rule or :premises (t613.t1))
% 77.64/77.83 (step t613.t3 (cl (or (not (tptp.leq tptp.sk6 tptp.sk5)) (not (tptp.leq tptp.sk5 tptp.sk6)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (= tptp.sk6 tptp.sk5))) :rule resolution :premises (t613.t2 t613.a0))
% 77.64/77.83 (step t613 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (= U V)))) (or (not (tptp.leq tptp.sk6 tptp.sk5)) (not (tptp.leq tptp.sk5 tptp.sk6)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (= tptp.sk6 tptp.sk5))) :rule subproof :discharge (t613.a0))
% 77.64/77.83 (step t614 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (= U V))) (or (not (tptp.leq tptp.sk6 tptp.sk5)) (not (tptp.leq tptp.sk5 tptp.sk6)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (= tptp.sk6 tptp.sk5))) (or (not (tptp.leq tptp.sk6 tptp.sk5)) (not (tptp.leq tptp.sk5 tptp.sk6)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (= tptp.sk6 tptp.sk5))) :rule resolution :premises (t612 t613))
% 77.64/77.83 (step t615 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (= U V))) (or (not (tptp.leq tptp.sk6 tptp.sk5)) (not (tptp.leq tptp.sk5 tptp.sk6)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (= tptp.sk6 tptp.sk5))) (not (or (not (tptp.leq tptp.sk6 tptp.sk5)) (not (tptp.leq tptp.sk5 tptp.sk6)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (= tptp.sk6 tptp.sk5)))) :rule implies_neg2)
% 77.64/77.83 (step t616 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (= U V))) (or (not (tptp.leq tptp.sk6 tptp.sk5)) (not (tptp.leq tptp.sk5 tptp.sk6)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (= tptp.sk6 tptp.sk5))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (= U V))) (or (not (tptp.leq tptp.sk6 tptp.sk5)) (not (tptp.leq tptp.sk5 tptp.sk6)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (= tptp.sk6 tptp.sk5)))) :rule resolution :premises (t614 t615))
% 77.64/77.83 (step t617 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (= U V))) (or (not (tptp.leq tptp.sk6 tptp.sk5)) (not (tptp.leq tptp.sk5 tptp.sk6)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (= tptp.sk6 tptp.sk5)))) :rule contraction :premises (t616))
% 77.64/77.83 (step t618 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (= U V))) (or (not (tptp.leq tptp.sk6 tptp.sk5)) (not (tptp.leq tptp.sk5 tptp.sk6)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (= tptp.sk5 tptp.sk6)))) :rule resolution :premises (t603 t611 t617))
% 77.64/77.83 (step t619 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (= U V)))) (or (not (tptp.leq tptp.sk6 tptp.sk5)) (not (tptp.leq tptp.sk5 tptp.sk6)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (= tptp.sk5 tptp.sk6))) :rule implies :premises (t618))
% 77.64/77.83 (step t620 (cl (not (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (= V U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (= U V))))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (= V U)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (= U V)))) :rule equiv_pos2)
% 77.64/77.83 (anchor :step t621 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 77.64/77.83 (step t621.t1 (cl (= U U)) :rule refl)
% 77.64/77.83 (step t621.t2 (cl (= V V)) :rule refl)
% 77.64/77.83 (step t621.t3 (cl (= (not (tptp.leq U V)) (not (tptp.leq U V)))) :rule refl)
% 77.64/77.83 (step t621.t4 (cl (= (not (tptp.leq V U)) (not (tptp.leq V U)))) :rule refl)
% 77.64/77.83 (step t621.t5 (cl (= (not (tptp.ssItem U)) (not (tptp.ssItem U)))) :rule refl)
% 77.64/77.83 (step t621.t6 (cl (= (not (tptp.ssItem V)) (not (tptp.ssItem V)))) :rule refl)
% 77.64/77.83 (step t621.t7 (cl (= (= V U) (= U V))) :rule all_simplify)
% 77.64/77.83 (step t621.t8 (cl (= (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (= V U)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (= U V)))) :rule cong :premises (t621.t3 t621.t4 t621.t5 t621.t6 t621.t7))
% 77.64/77.83 (step t621 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (= V U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (= U V))))) :rule bind)
% 77.64/77.83 (step t622 (cl (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (= U V)))) :rule resolution :premises (t620 t621 a129))
% 77.64/77.83 (step t623 (cl (or (not (tptp.leq tptp.sk6 tptp.sk5)) (not (tptp.leq tptp.sk5 tptp.sk6)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (= tptp.sk5 tptp.sk6))) :rule resolution :premises (t619 t622))
% 77.64/77.83 (step t624 (cl (= tptp.sk5 tptp.sk6)) :rule resolution :premises (t62 t602 a192 a193 a198 t623))
% 77.64/77.83 (step t625 (cl (not (or (not (tptp.lt tptp.sk5 tptp.sk5)) (not (tptp.ssItem tptp.sk5)))) (not (tptp.lt tptp.sk5 tptp.sk5)) (not (tptp.ssItem tptp.sk5))) :rule or_pos)
% 77.64/77.83 (step t626 (cl (not (tptp.ssItem tptp.sk5)) (not (tptp.lt tptp.sk5 tptp.sk5)) (not (or (not (tptp.lt tptp.sk5 tptp.sk5)) (not (tptp.ssItem tptp.sk5))))) :rule reordering :premises (t625))
% 77.64/77.83 (step t627 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.lt U U)) (not (tptp.ssItem U)))) (or (not (tptp.lt tptp.sk5 tptp.sk5)) (not (tptp.ssItem tptp.sk5)))) (forall ((U $$unsorted)) (or (not (tptp.lt U U)) (not (tptp.ssItem U))))) :rule implies_neg1)
% 77.64/77.83 (anchor :step t628)
% 77.64/77.83 (assume t628.a0 (forall ((U $$unsorted)) (or (not (tptp.lt U U)) (not (tptp.ssItem U)))))
% 77.64/77.83 (step t628.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.lt U U)) (not (tptp.ssItem U))))) (or (not (tptp.lt tptp.sk5 tptp.sk5)) (not (tptp.ssItem tptp.sk5))))) :rule forall_inst :args ((:= U tptp.sk5)))
% 77.64/77.83 (step t628.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.lt U U)) (not (tptp.ssItem U))))) (or (not (tptp.lt tptp.sk5 tptp.sk5)) (not (tptp.ssItem tptp.sk5)))) :rule or :premises (t628.t1))
% 77.64/77.83 (step t628.t3 (cl (or (not (tptp.lt tptp.sk5 tptp.sk5)) (not (tptp.ssItem tptp.sk5)))) :rule resolution :premises (t628.t2 t628.a0))
% 77.64/77.83 (step t628 (cl (not (forall ((U $$unsorted)) (or (not (tptp.lt U U)) (not (tptp.ssItem U))))) (or (not (tptp.lt tptp.sk5 tptp.sk5)) (not (tptp.ssItem tptp.sk5)))) :rule subproof :discharge (t628.a0))
% 77.64/77.83 (step t629 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.lt U U)) (not (tptp.ssItem U)))) (or (not (tptp.lt tptp.sk5 tptp.sk5)) (not (tptp.ssItem tptp.sk5)))) (or (not (tptp.lt tptp.sk5 tptp.sk5)) (not (tptp.ssItem tptp.sk5)))) :rule resolution :premises (t627 t628))
% 77.64/77.83 (step t630 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.lt U U)) (not (tptp.ssItem U)))) (or (not (tptp.lt tptp.sk5 tptp.sk5)) (not (tptp.ssItem tptp.sk5)))) (not (or (not (tptp.lt tptp.sk5 tptp.sk5)) (not (tptp.ssItem tptp.sk5))))) :rule implies_neg2)
% 77.64/77.83 (step t631 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.lt U U)) (not (tptp.ssItem U)))) (or (not (tptp.lt tptp.sk5 tptp.sk5)) (not (tptp.ssItem tptp.sk5)))) (=> (forall ((U $$unsorted)) (or (not (tptp.lt U U)) (not (tptp.ssItem U)))) (or (not (tptp.lt tptp.sk5 tptp.sk5)) (not (tptp.ssItem tptp.sk5))))) :rule resolution :premises (t629 t630))
% 77.64/77.83 (step t632 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.lt U U)) (not (tptp.ssItem U)))) (or (not (tptp.lt tptp.sk5 tptp.sk5)) (not (tptp.ssItem tptp.sk5))))) :rule contraction :premises (t631))
% 77.64/77.83 (step t633 (cl (not (forall ((U $$unsorted)) (or (not (tptp.lt U U)) (not (tptp.ssItem U))))) (or (not (tptp.lt tptp.sk5 tptp.sk5)) (not (tptp.ssItem tptp.sk5)))) :rule implies :premises (t632))
% 77.64/77.83 (step t634 (cl (or (not (tptp.lt tptp.sk5 tptp.sk5)) (not (tptp.ssItem tptp.sk5)))) :rule resolution :premises (t633 a62))
% 77.64/77.83 (step t635 (cl (not (tptp.lt tptp.sk5 tptp.sk5))) :rule resolution :premises (t626 a192 t634))
% 77.64/77.83 (step t636 (cl) :rule resolution :premises (t60 t624 t593 t635))
% 77.64/77.83
% 77.64/77.83 % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.tOjaNV64sB/cvc5---1.0.5_11398.smt2
% 77.64/77.83 % cvc5---1.0.5 exiting
% 77.64/77.84 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------