%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : RNG091+1 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n017.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 17:41:51 EDT 2024

% Result   : Theorem 11.08s 11.34s
% Output   : Proof 11.15s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14  % Problem    : RNG091+1 : TPTP v8.2.0. Released v4.0.0.
% 0.15/0.15  % Command    : do_cvc5 %s %d
% 0.15/0.37  % Computer : n017.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 300
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Sat May 25 21:53:24 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.22/0.54  %----Proving TF0_NAR, FOF, or CNF
% 11.08/11.34  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 11.08/11.34  --- Run --no-e-matching --full-saturate-quant at 5...
% 11.08/11.34  % SZS status Theorem for /export/starexec/sandbox2/tmp/tmp.MfIi6GGnXj/cvc5---1.0.5_7811.smt2
% 11.08/11.34  % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.MfIi6GGnXj/cvc5---1.0.5_7811.smt2
% 11.08/11.34  (assume a0 (forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) true)))
% 11.08/11.34  (assume a1 (tptp.aElement0 tptp.sz00))
% 11.08/11.34  (assume a2 (tptp.aElement0 tptp.sz10))
% 11.08/11.34  (assume a3 (forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) (tptp.aElement0 (tptp.smndt0 W0)))))
% 11.08/11.34  (assume a4 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1)) (tptp.aElement0 (tptp.sdtpldt0 W0 W1)))))
% 11.08/11.34  (assume a5 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1)) (tptp.aElement0 (tptp.sdtasdt0 W0 W1)))))
% 11.08/11.34  (assume a6 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1)) (= (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W1 W0)))))
% 11.08/11.34  (assume a7 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1) (tptp.aElement0 W2)) (= (tptp.sdtpldt0 (tptp.sdtpldt0 W0 W1) W2) (tptp.sdtpldt0 W0 (tptp.sdtpldt0 W1 W2))))))
% 11.08/11.34  (assume a8 (forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) (and (= (tptp.sdtpldt0 W0 tptp.sz00) W0) (= W0 (tptp.sdtpldt0 tptp.sz00 W0))))))
% 11.08/11.34  (assume a9 (forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) (and (= (tptp.sdtpldt0 W0 (tptp.smndt0 W0)) tptp.sz00) (= tptp.sz00 (tptp.sdtpldt0 (tptp.smndt0 W0) W0))))))
% 11.08/11.34  (assume a10 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1)) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0)))))
% 11.08/11.34  (assume a11 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1) (tptp.aElement0 W2)) (= (tptp.sdtasdt0 (tptp.sdtasdt0 W0 W1) W2) (tptp.sdtasdt0 W0 (tptp.sdtasdt0 W1 W2))))))
% 11.08/11.34  (assume a12 (forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) (and (= (tptp.sdtasdt0 W0 tptp.sz10) W0) (= W0 (tptp.sdtasdt0 tptp.sz10 W0))))))
% 11.08/11.34  (assume a13 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1) (tptp.aElement0 W2)) (and (= (tptp.sdtasdt0 W0 (tptp.sdtpldt0 W1 W2)) (tptp.sdtpldt0 (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W0 W2))) (= (tptp.sdtasdt0 (tptp.sdtpldt0 W1 W2) W0) (tptp.sdtpldt0 (tptp.sdtasdt0 W1 W0) (tptp.sdtasdt0 W2 W0)))))))
% 11.08/11.34  (assume a14 (forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) (and (= (tptp.sdtasdt0 (tptp.smndt0 tptp.sz10) W0) (tptp.smndt0 W0)) (= (tptp.smndt0 W0) (tptp.sdtasdt0 W0 (tptp.smndt0 tptp.sz10)))))))
% 11.08/11.34  (assume a15 (forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) (and (= (tptp.sdtasdt0 W0 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 W0))))))
% 11.08/11.34  (assume a16 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1)) (=> (= (tptp.sdtasdt0 W0 W1) tptp.sz00) (or (= W0 tptp.sz00) (= W1 tptp.sz00))))))
% 11.08/11.34  (assume a17 (not (= tptp.sz10 tptp.sz00)))
% 11.08/11.34  (assume a18 (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) true)))
% 11.08/11.34  (assume a19 (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) (forall ((W1 $$unsorted)) (=> (tptp.aElementOf0 W1 W0) (tptp.aElement0 W1))))))
% 11.08/11.34  (assume a20 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aSet0 W0) (tptp.aSet0 W1)) (=> (and (forall ((W2 $$unsorted)) (=> (tptp.aElementOf0 W2 W0) (tptp.aElementOf0 W2 W1))) (forall ((W2 $$unsorted)) (=> (tptp.aElementOf0 W2 W1) (tptp.aElementOf0 W2 W0)))) (= W0 W1)))))
% 11.08/11.34  (assume a21 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aSet0 W0) (tptp.aSet0 W1)) (forall ((W2 $$unsorted)) (= (= W2 (tptp.sdtpldt1 W0 W1)) (and (tptp.aSet0 W2) (forall ((W3 $$unsorted)) (= (tptp.aElementOf0 W3 W2) (exists ((W4 $$unsorted) (W5 $$unsorted)) (and (tptp.aElementOf0 W4 W0) (tptp.aElementOf0 W5 W1) (= (tptp.sdtpldt0 W4 W5) W3)))))))))))
% 11.08/11.34  (assume a22 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aSet0 W0) (tptp.aSet0 W1)) (forall ((W2 $$unsorted)) (= (= W2 (tptp.sdtasasdt0 W0 W1)) (and (tptp.aSet0 W2) (forall ((W3 $$unsorted)) (= (tptp.aElementOf0 W3 W2) (and (tptp.aElementOf0 W3 W0) (tptp.aElementOf0 W3 W1))))))))))
% 11.08/11.34  (assume a23 (forall ((W0 $$unsorted)) (= (tptp.aIdeal0 W0) (and (tptp.aSet0 W0) (forall ((W1 $$unsorted)) (=> (tptp.aElementOf0 W1 W0) (and (forall ((W2 $$unsorted)) (=> (tptp.aElementOf0 W2 W0) (tptp.aElementOf0 (tptp.sdtpldt0 W1 W2) W0))) (forall ((W2 $$unsorted)) (=> (tptp.aElement0 W2) (tptp.aElementOf0 (tptp.sdtasdt0 W2 W1) W0))))))))))
% 11.08/11.34  (assume a24 (and (tptp.aIdeal0 tptp.xI) (tptp.aIdeal0 tptp.xJ)))
% 11.08/11.34  (assume a25 (and (tptp.aElementOf0 tptp.xx (tptp.sdtpldt1 tptp.xI tptp.xJ)) (tptp.aElementOf0 tptp.xy (tptp.sdtpldt1 tptp.xI tptp.xJ)) (tptp.aElement0 tptp.xz)))
% 11.08/11.34  (assume a26 (and (tptp.aElementOf0 tptp.xk tptp.xI) (tptp.aElementOf0 tptp.xl tptp.xJ) (= tptp.xx (tptp.sdtpldt0 tptp.xk tptp.xl))))
% 11.08/11.34  (assume a27 (and (tptp.aElementOf0 tptp.xm tptp.xI) (tptp.aElementOf0 tptp.xn tptp.xJ) (= tptp.xy (tptp.sdtpldt0 tptp.xm tptp.xn))))
% 11.08/11.34  (assume a28 (and (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xk tptp.xm) tptp.xI) (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xl tptp.xn) tptp.xJ)))
% 11.08/11.34  (assume a29 (and (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz tptp.xk) tptp.xI) (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz tptp.xl) tptp.xJ)))
% 11.08/11.34  (assume a30 (= (tptp.sdtpldt0 tptp.xx tptp.xy) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xm) (tptp.sdtpldt0 tptp.xl tptp.xn))))
% 11.08/11.34  (assume a31 (= (tptp.sdtasdt0 tptp.xz tptp.xx) (tptp.sdtpldt0 (tptp.sdtasdt0 tptp.xz tptp.xk) (tptp.sdtasdt0 tptp.xz tptp.xl))))
% 11.08/11.34  (assume a32 (not (and (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xx tptp.xy) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz tptp.xx) (tptp.sdtpldt1 tptp.xI tptp.xJ)))))
% 11.08/11.34  (assume a33 true)
% 11.08/11.34  (step t1 (cl (=> (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)))))) (or (not (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz tptp.xk) tptp.xI)) (not (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz tptp.xl) tptp.xJ)) (not (= (tptp.sdtpldt0 (tptp.sdtasdt0 tptp.xz tptp.xk) (tptp.sdtasdt0 tptp.xz tptp.xl)) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)))))) (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl))))))) :rule implies_neg1)
% 11.08/11.34  (anchor :step t2)
% 11.08/11.34  (assume t2.a0 (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)))))))
% 11.08/11.34  (step t2.t1 (cl (or (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl))))))) (or (not (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz tptp.xk) tptp.xI)) (not (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz tptp.xl) tptp.xJ)) (not (= (tptp.sdtpldt0 (tptp.sdtasdt0 tptp.xz tptp.xk) (tptp.sdtasdt0 tptp.xz tptp.xl)) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl))))))) :rule forall_inst :args ((:= W4 (tptp.sdtasdt0 tptp.xz tptp.xk)) (:= W5 (tptp.sdtasdt0 tptp.xz tptp.xl))))
% 11.08/11.34  (step t2.t2 (cl (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl))))))) (or (not (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz tptp.xk) tptp.xI)) (not (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz tptp.xl) tptp.xJ)) (not (= (tptp.sdtpldt0 (tptp.sdtasdt0 tptp.xz tptp.xk) (tptp.sdtasdt0 tptp.xz tptp.xl)) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)))))) :rule or :premises (t2.t1))
% 11.08/11.34  (step t2.t3 (cl (or (not (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz tptp.xk) tptp.xI)) (not (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz tptp.xl) tptp.xJ)) (not (= (tptp.sdtpldt0 (tptp.sdtasdt0 tptp.xz tptp.xk) (tptp.sdtasdt0 tptp.xz tptp.xl)) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)))))) :rule resolution :premises (t2.t2 t2.a0))
% 11.08/11.34  (step t2 (cl (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl))))))) (or (not (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz tptp.xk) tptp.xI)) (not (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz tptp.xl) tptp.xJ)) (not (= (tptp.sdtpldt0 (tptp.sdtasdt0 tptp.xz tptp.xk) (tptp.sdtasdt0 tptp.xz tptp.xl)) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)))))) :rule subproof :discharge (t2.a0))
% 11.08/11.34  (step t3 (cl (=> (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)))))) (or (not (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz tptp.xk) tptp.xI)) (not (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz tptp.xl) tptp.xJ)) (not (= (tptp.sdtpldt0 (tptp.sdtasdt0 tptp.xz tptp.xk) (tptp.sdtasdt0 tptp.xz tptp.xl)) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)))))) (or (not (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz tptp.xk) tptp.xI)) (not (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz tptp.xl) tptp.xJ)) (not (= (tptp.sdtpldt0 (tptp.sdtasdt0 tptp.xz tptp.xk) (tptp.sdtasdt0 tptp.xz tptp.xl)) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)))))) :rule resolution :premises (t1 t2))
% 11.08/11.34  (step t4 (cl (=> (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)))))) (or (not (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz tptp.xk) tptp.xI)) (not (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz tptp.xl) tptp.xJ)) (not (= (tptp.sdtpldt0 (tptp.sdtasdt0 tptp.xz tptp.xk) (tptp.sdtasdt0 tptp.xz tptp.xl)) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)))))) (not (or (not (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz tptp.xk) tptp.xI)) (not (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz tptp.xl) tptp.xJ)) (not (= (tptp.sdtpldt0 (tptp.sdtasdt0 tptp.xz tptp.xk) (tptp.sdtasdt0 tptp.xz tptp.xl)) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl))))))) :rule implies_neg2)
% 11.08/11.34  (step t5 (cl (=> (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)))))) (or (not (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz tptp.xk) tptp.xI)) (not (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz tptp.xl) tptp.xJ)) (not (= (tptp.sdtpldt0 (tptp.sdtasdt0 tptp.xz tptp.xk) (tptp.sdtasdt0 tptp.xz tptp.xl)) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)))))) (=> (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)))))) (or (not (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz tptp.xk) tptp.xI)) (not (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz tptp.xl) tptp.xJ)) (not (= (tptp.sdtpldt0 (tptp.sdtasdt0 tptp.xz tptp.xk) (tptp.sdtasdt0 tptp.xz tptp.xl)) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl))))))) :rule resolution :premises (t3 t4))
% 11.08/11.34  (step t6 (cl (=> (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)))))) (or (not (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz tptp.xk) tptp.xI)) (not (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz tptp.xl) tptp.xJ)) (not (= (tptp.sdtpldt0 (tptp.sdtasdt0 tptp.xz tptp.xk) (tptp.sdtasdt0 tptp.xz tptp.xl)) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl))))))) :rule contraction :premises (t5))
% 11.08/11.34  (step t7 (cl (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl))))))) (or (not (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz tptp.xk) tptp.xI)) (not (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz tptp.xl) tptp.xJ)) (not (= (tptp.sdtpldt0 (tptp.sdtasdt0 tptp.xz tptp.xk) (tptp.sdtasdt0 tptp.xz tptp.xl)) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)))))) :rule implies :premises (t6))
% 11.08/11.34  (step t8 (cl (not (or (not (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz tptp.xk) tptp.xI)) (not (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz tptp.xl) tptp.xJ)) (not (= (tptp.sdtpldt0 (tptp.sdtasdt0 tptp.xz tptp.xk) (tptp.sdtasdt0 tptp.xz tptp.xl)) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)))))) (not (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz tptp.xk) tptp.xI)) (not (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz tptp.xl) tptp.xJ)) (not (= (tptp.sdtpldt0 (tptp.sdtasdt0 tptp.xz tptp.xk) (tptp.sdtasdt0 tptp.xz tptp.xl)) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl))))) :rule or_pos)
% 11.08/11.34  (step t9 (cl (not (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz tptp.xk) tptp.xI)) (not (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz tptp.xl) tptp.xJ)) (not (= (tptp.sdtpldt0 (tptp.sdtasdt0 tptp.xz tptp.xk) (tptp.sdtasdt0 tptp.xz tptp.xl)) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)))) (not (or (not (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz tptp.xk) tptp.xI)) (not (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz tptp.xl) tptp.xJ)) (not (= (tptp.sdtpldt0 (tptp.sdtasdt0 tptp.xz tptp.xk) (tptp.sdtasdt0 tptp.xz tptp.xl)) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl))))))) :rule reordering :premises (t8))
% 11.08/11.34  (step t10 (cl (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz tptp.xk) tptp.xI)) :rule and :premises (a29))
% 11.08/11.34  (step t11 (cl (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz tptp.xl) tptp.xJ)) :rule and :premises (a29))
% 11.08/11.34  (step t12 (cl (not (= (= (tptp.sdtasdt0 tptp.xz tptp.xx) (tptp.sdtpldt0 (tptp.sdtasdt0 tptp.xz tptp.xk) (tptp.sdtasdt0 tptp.xz tptp.xl))) (= (tptp.sdtpldt0 (tptp.sdtasdt0 tptp.xz tptp.xk) (tptp.sdtasdt0 tptp.xz tptp.xl)) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl))))) (not (= (tptp.sdtasdt0 tptp.xz tptp.xx) (tptp.sdtpldt0 (tptp.sdtasdt0 tptp.xz tptp.xk) (tptp.sdtasdt0 tptp.xz tptp.xl)))) (= (tptp.sdtpldt0 (tptp.sdtasdt0 tptp.xz tptp.xk) (tptp.sdtasdt0 tptp.xz tptp.xl)) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)))) :rule equiv_pos2)
% 11.08/11.34  (step t13 (cl (= tptp.xz tptp.xz)) :rule refl)
% 11.08/11.34  (step t14 (cl (and (= tptp.xy (tptp.sdtpldt0 tptp.xm tptp.xn)) (= tptp.xx (tptp.sdtpldt0 tptp.xk tptp.xl))) (not (= tptp.xy (tptp.sdtpldt0 tptp.xm tptp.xn))) (not (= tptp.xx (tptp.sdtpldt0 tptp.xk tptp.xl)))) :rule and_neg)
% 11.08/11.34  (step t15 (cl (= tptp.xy (tptp.sdtpldt0 tptp.xm tptp.xn))) :rule and :premises (a27))
% 11.08/11.34  (step t16 (cl (= tptp.xx (tptp.sdtpldt0 tptp.xk tptp.xl))) :rule and :premises (a26))
% 11.08/11.34  (step t17 (cl (and (= tptp.xy (tptp.sdtpldt0 tptp.xm tptp.xn)) (= tptp.xx (tptp.sdtpldt0 tptp.xk tptp.xl)))) :rule resolution :premises (t14 t15 t16))
% 11.08/11.34  (step t18 (cl (= tptp.xx (tptp.sdtpldt0 tptp.xk tptp.xl))) :rule and :premises (t17))
% 11.08/11.34  (step t19 (cl (= (tptp.sdtasdt0 tptp.xz tptp.xx) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)))) :rule cong :premises (t13 t18))
% 11.08/11.34  (step t20 (cl (= (tptp.sdtpldt0 (tptp.sdtasdt0 tptp.xz tptp.xk) (tptp.sdtasdt0 tptp.xz tptp.xl)) (tptp.sdtpldt0 (tptp.sdtasdt0 tptp.xz tptp.xk) (tptp.sdtasdt0 tptp.xz tptp.xl)))) :rule refl)
% 11.08/11.34  (step t21 (cl (= (= (tptp.sdtasdt0 tptp.xz tptp.xx) (tptp.sdtpldt0 (tptp.sdtasdt0 tptp.xz tptp.xk) (tptp.sdtasdt0 tptp.xz tptp.xl))) (= (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt0 (tptp.sdtasdt0 tptp.xz tptp.xk) (tptp.sdtasdt0 tptp.xz tptp.xl))))) :rule cong :premises (t19 t20))
% 11.08/11.34  (step t22 (cl (= (= (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt0 (tptp.sdtasdt0 tptp.xz tptp.xk) (tptp.sdtasdt0 tptp.xz tptp.xl))) (= (tptp.sdtpldt0 (tptp.sdtasdt0 tptp.xz tptp.xk) (tptp.sdtasdt0 tptp.xz tptp.xl)) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl))))) :rule all_simplify)
% 11.08/11.34  (step t23 (cl (= (= (tptp.sdtasdt0 tptp.xz tptp.xx) (tptp.sdtpldt0 (tptp.sdtasdt0 tptp.xz tptp.xk) (tptp.sdtasdt0 tptp.xz tptp.xl))) (= (tptp.sdtpldt0 (tptp.sdtasdt0 tptp.xz tptp.xk) (tptp.sdtasdt0 tptp.xz tptp.xl)) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl))))) :rule trans :premises (t21 t22))
% 11.08/11.34  (step t24 (cl (= (tptp.sdtpldt0 (tptp.sdtasdt0 tptp.xz tptp.xk) (tptp.sdtasdt0 tptp.xz tptp.xl)) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)))) :rule resolution :premises (t12 t23 a31))
% 11.08/11.34  (step t25 (cl (not (or (not (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz tptp.xk) tptp.xI)) (not (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz tptp.xl) tptp.xJ)) (not (= (tptp.sdtpldt0 (tptp.sdtasdt0 tptp.xz tptp.xk) (tptp.sdtasdt0 tptp.xz tptp.xl)) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl))))))) :rule resolution :premises (t9 t10 t11 t24))
% 11.08/11.34  (step t26 (cl (not (= (or (not (= (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl))))))))) (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl))))))))) (or (not (= (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl))))))))) (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl))))))))) (not (or (not (= (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl))))))))) (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)))))))))) (or (not (= (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl))))))))) (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)))))))) :rule equiv_pos2)
% 11.08/11.34  (step t27 (cl (= (not (= (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl))))))))) (not (= (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl))))))))))) :rule refl)
% 11.08/11.34  (step t28 (cl (= (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt1 tptp.xI tptp.xJ)))) :rule refl)
% 11.08/11.34  (step t29 (cl (= (= (= (not (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)))))))) (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl))))))) true) (= (not (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)))))))) (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl))))))))) :rule equiv_simplify)
% 11.08/11.34  (step t30 (cl (not (= (= (not (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)))))))) (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl))))))) true)) (= (not (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)))))))) (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)))))))) :rule equiv1 :premises (t29))
% 11.08/11.34  (step t31 (cl (= (= (not (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)))))))) (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl))))))) (= (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)))))) (not (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl))))))))))) :rule all_simplify)
% 11.08/11.34  (step t32 (cl (= (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)))))) (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)))))))) :rule refl)
% 11.08/11.34  (step t33 (cl (= (not (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)))))))) (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)))))))) :rule all_simplify)
% 11.08/11.34  (step t34 (cl (= (= (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)))))) (not (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl))))))))) (= (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)))))) (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl))))))))) :rule cong :premises (t32 t33))
% 11.08/11.34  (step t35 (cl (= (= (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)))))) (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl))))))) true)) :rule all_simplify)
% 11.08/11.34  (step t36 (cl (= (= (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)))))) (not (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl))))))))) true)) :rule trans :premises (t34 t35))
% 11.08/11.34  (step t37 (cl (= (= (not (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)))))))) (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl))))))) true)) :rule trans :premises (t31 t36))
% 11.08/11.34  (step t38 (cl (= (not (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)))))))) (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)))))))) :rule resolution :premises (t30 t37))
% 11.08/11.34  (step t39 (cl (= (or (not (= (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl))))))))) (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl))))))))) (or (not (= (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl))))))))) (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl))))))))) :rule cong :premises (t27 t28 t38))
% 11.08/11.34  (step t40 (cl (not (= (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl))))))))) (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl))))))))) :rule equiv_pos1)
% 11.08/11.34  (step t41 (cl (or (not (= (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl))))))))) (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl))))))))) (not (not (= (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl))))))))))) :rule or_neg)
% 11.08/11.34  (step t42 (cl (or (not (= (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl))))))))) (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl))))))))) (not (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt1 tptp.xI tptp.xJ)))) :rule or_neg)
% 11.08/11.34  (step t43 (cl (or (not (= (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl))))))))) (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl))))))))) (not (not (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)))))))))) :rule or_neg)
% 11.08/11.34  (step t44 (cl (or (not (= (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl))))))))) (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl))))))))) (or (not (= (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl))))))))) (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl))))))))) (or (not (= (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl))))))))) (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)))))))))) :rule resolution :premises (t40 t41 t42 t43))
% 11.08/11.34  (step t45 (cl (or (not (= (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl))))))))) (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)))))))))) :rule contraction :premises (t44))
% 11.08/11.34  (step t46 (cl (or (not (= (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl))))))))) (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)))))))) :rule resolution :premises (t26 t39 t45))
% 11.08/11.34  (step t47 (cl (not (= (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl))))))))) (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl))))))) :rule or :premises (t46))
% 11.08/11.34  (step t48 (cl (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)))))) (not (= (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)))))))))) :rule reordering :premises (t47))
% 11.08/11.34  (step t49 (cl (not (= (not (and (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xx tptp.xy) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz tptp.xx) (tptp.sdtpldt1 tptp.xI tptp.xJ)))) (not (and (tptp.aElementOf0 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt1 tptp.xI tptp.xJ)))))) (not (not (and (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xx tptp.xy) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz tptp.xx) (tptp.sdtpldt1 tptp.xI tptp.xJ))))) (not (and (tptp.aElementOf0 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt1 tptp.xI tptp.xJ))))) :rule equiv_pos2)
% 11.08/11.34  (step t50 (cl (= tptp.xx (tptp.sdtpldt0 tptp.xk tptp.xl))) :rule and :premises (t17))
% 11.08/11.34  (step t51 (cl (= tptp.xy (tptp.sdtpldt0 tptp.xm tptp.xn))) :rule and :premises (t17))
% 11.08/11.34  (step t52 (cl (= (tptp.sdtpldt0 tptp.xx tptp.xy) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)))) :rule cong :premises (t50 t51))
% 11.08/11.34  (step t53 (cl (= (tptp.sdtpldt1 tptp.xI tptp.xJ) (tptp.sdtpldt1 tptp.xI tptp.xJ))) :rule refl)
% 11.08/11.34  (step t54 (cl (= (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xx tptp.xy) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (tptp.aElementOf0 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt1 tptp.xI tptp.xJ)))) :rule cong :premises (t52 t53))
% 11.08/11.34  (step t55 (cl (= tptp.xz tptp.xz)) :rule refl)
% 11.08/11.34  (step t56 (cl (= (tptp.sdtasdt0 tptp.xz tptp.xx) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)))) :rule cong :premises (t55 t50))
% 11.08/11.34  (step t57 (cl (= (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz tptp.xx) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt1 tptp.xI tptp.xJ)))) :rule cong :premises (t56 t53))
% 11.08/11.34  (step t58 (cl (= (and (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xx tptp.xy) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz tptp.xx) (tptp.sdtpldt1 tptp.xI tptp.xJ))) (and (tptp.aElementOf0 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt1 tptp.xI tptp.xJ))))) :rule cong :premises (t54 t57))
% 11.08/11.34  (step t59 (cl (= (not (and (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xx tptp.xy) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz tptp.xx) (tptp.sdtpldt1 tptp.xI tptp.xJ)))) (not (and (tptp.aElementOf0 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt1 tptp.xI tptp.xJ)))))) :rule cong :premises (t58))
% 11.08/11.34  (step t60 (cl (not (and (tptp.aElementOf0 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt1 tptp.xI tptp.xJ))))) :rule resolution :premises (t49 t59 a32))
% 11.08/11.34  (step t61 (cl (not (tptp.aElementOf0 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt1 tptp.xI tptp.xJ))) (not (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt1 tptp.xI tptp.xJ)))) :rule not_and :premises (t60))
% 11.08/11.34  (step t62 (cl (not (= (or (not (= (tptp.aElementOf0 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn))))))))) (tptp.aElementOf0 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn))))))))) (or (not (= (tptp.aElementOf0 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn))))))))) (tptp.aElementOf0 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn))))))))) (not (or (not (= (tptp.aElementOf0 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn))))))))) (tptp.aElementOf0 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)))))))))) (or (not (= (tptp.aElementOf0 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn))))))))) (tptp.aElementOf0 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)))))))) :rule equiv_pos2)
% 11.08/11.34  (step t63 (cl (= (not (= (tptp.aElementOf0 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn))))))))) (not (= (tptp.aElementOf0 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn))))))))))) :rule refl)
% 11.08/11.34  (step t64 (cl (= (tptp.aElementOf0 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (tptp.aElementOf0 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt1 tptp.xI tptp.xJ)))) :rule refl)
% 11.08/11.34  (step t65 (cl (= (= (= (not (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)))))))) (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn))))))) true) (= (not (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)))))))) (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn))))))))) :rule equiv_simplify)
% 11.08/11.34  (step t66 (cl (not (= (= (not (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)))))))) (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn))))))) true)) (= (not (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)))))))) (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)))))))) :rule equiv1 :premises (t65))
% 11.08/11.34  (step t67 (cl (= (= (not (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)))))))) (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn))))))) (= (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)))))) (not (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn))))))))))) :rule all_simplify)
% 11.08/11.34  (step t68 (cl (= (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)))))) (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)))))))) :rule refl)
% 11.08/11.34  (step t69 (cl (= (not (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)))))))) (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)))))))) :rule all_simplify)
% 11.08/11.34  (step t70 (cl (= (= (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)))))) (not (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn))))))))) (= (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)))))) (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn))))))))) :rule cong :premises (t68 t69))
% 11.08/11.34  (step t71 (cl (= (= (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)))))) (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn))))))) true)) :rule all_simplify)
% 11.08/11.34  (step t72 (cl (= (= (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)))))) (not (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn))))))))) true)) :rule trans :premises (t70 t71))
% 11.08/11.34  (step t73 (cl (= (= (not (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)))))))) (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn))))))) true)) :rule trans :premises (t67 t72))
% 11.08/11.34  (step t74 (cl (= (not (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)))))))) (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)))))))) :rule resolution :premises (t66 t73))
% 11.08/11.34  (step t75 (cl (= (or (not (= (tptp.aElementOf0 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn))))))))) (tptp.aElementOf0 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn))))))))) (or (not (= (tptp.aElementOf0 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn))))))))) (tptp.aElementOf0 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn))))))))) :rule cong :premises (t63 t64 t74))
% 11.08/11.34  (step t76 (cl (not (= (tptp.aElementOf0 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn))))))))) (tptp.aElementOf0 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn))))))))) :rule equiv_pos1)
% 11.08/11.34  (step t77 (cl (or (not (= (tptp.aElementOf0 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn))))))))) (tptp.aElementOf0 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn))))))))) (not (not (= (tptp.aElementOf0 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn))))))))))) :rule or_neg)
% 11.08/11.34  (step t78 (cl (or (not (= (tptp.aElementOf0 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn))))))))) (tptp.aElementOf0 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn))))))))) (not (tptp.aElementOf0 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt1 tptp.xI tptp.xJ)))) :rule or_neg)
% 11.08/11.34  (step t79 (cl (or (not (= (tptp.aElementOf0 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn))))))))) (tptp.aElementOf0 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn))))))))) (not (not (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)))))))))) :rule or_neg)
% 11.08/11.34  (step t80 (cl (or (not (= (tptp.aElementOf0 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn))))))))) (tptp.aElementOf0 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn))))))))) (or (not (= (tptp.aElementOf0 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn))))))))) (tptp.aElementOf0 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn))))))))) (or (not (= (tptp.aElementOf0 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn))))))))) (tptp.aElementOf0 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)))))))))) :rule resolution :premises (t76 t77 t78 t79))
% 11.08/11.34  (step t81 (cl (or (not (= (tptp.aElementOf0 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn))))))))) (tptp.aElementOf0 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)))))))))) :rule contraction :premises (t80))
% 11.08/11.34  (step t82 (cl (or (not (= (tptp.aElementOf0 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn))))))))) (tptp.aElementOf0 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)))))))) :rule resolution :premises (t62 t75 t81))
% 11.08/11.34  (step t83 (cl (not (= (tptp.aElementOf0 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn))))))))) (tptp.aElementOf0 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn))))))) :rule or :premises (t82))
% 11.08/11.34  (step t84 (cl (tptp.aElementOf0 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)))))) (not (= (tptp.aElementOf0 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)))))))))) :rule reordering :premises (t83))
% 11.08/11.34  (step t85 (cl (=> (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)))))) (or (not (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xk tptp.xm) tptp.xI)) (not (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xl tptp.xn) tptp.xJ)) (not (= (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xm) (tptp.sdtpldt0 tptp.xl tptp.xn)) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)))))) (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn))))))) :rule implies_neg1)
% 11.08/11.34  (anchor :step t86)
% 11.08/11.34  (assume t86.a0 (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)))))))
% 11.08/11.34  (step t86.t1 (cl (or (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn))))))) (or (not (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xk tptp.xm) tptp.xI)) (not (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xl tptp.xn) tptp.xJ)) (not (= (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xm) (tptp.sdtpldt0 tptp.xl tptp.xn)) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn))))))) :rule forall_inst :args ((:= W4 (tptp.sdtpldt0 tptp.xk tptp.xm)) (:= W5 (tptp.sdtpldt0 tptp.xl tptp.xn))))
% 11.08/11.34  (step t86.t2 (cl (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn))))))) (or (not (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xk tptp.xm) tptp.xI)) (not (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xl tptp.xn) tptp.xJ)) (not (= (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xm) (tptp.sdtpldt0 tptp.xl tptp.xn)) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)))))) :rule or :premises (t86.t1))
% 11.08/11.34  (step t86.t3 (cl (or (not (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xk tptp.xm) tptp.xI)) (not (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xl tptp.xn) tptp.xJ)) (not (= (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xm) (tptp.sdtpldt0 tptp.xl tptp.xn)) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)))))) :rule resolution :premises (t86.t2 t86.a0))
% 11.08/11.34  (step t86 (cl (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn))))))) (or (not (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xk tptp.xm) tptp.xI)) (not (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xl tptp.xn) tptp.xJ)) (not (= (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xm) (tptp.sdtpldt0 tptp.xl tptp.xn)) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)))))) :rule subproof :discharge (t86.a0))
% 11.08/11.34  (step t87 (cl (=> (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)))))) (or (not (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xk tptp.xm) tptp.xI)) (not (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xl tptp.xn) tptp.xJ)) (not (= (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xm) (tptp.sdtpldt0 tptp.xl tptp.xn)) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)))))) (or (not (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xk tptp.xm) tptp.xI)) (not (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xl tptp.xn) tptp.xJ)) (not (= (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xm) (tptp.sdtpldt0 tptp.xl tptp.xn)) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)))))) :rule resolution :premises (t85 t86))
% 11.08/11.34  (step t88 (cl (=> (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)))))) (or (not (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xk tptp.xm) tptp.xI)) (not (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xl tptp.xn) tptp.xJ)) (not (= (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xm) (tptp.sdtpldt0 tptp.xl tptp.xn)) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)))))) (not (or (not (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xk tptp.xm) tptp.xI)) (not (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xl tptp.xn) tptp.xJ)) (not (= (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xm) (tptp.sdtpldt0 tptp.xl tptp.xn)) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn))))))) :rule implies_neg2)
% 11.08/11.34  (step t89 (cl (=> (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)))))) (or (not (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xk tptp.xm) tptp.xI)) (not (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xl tptp.xn) tptp.xJ)) (not (= (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xm) (tptp.sdtpldt0 tptp.xl tptp.xn)) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)))))) (=> (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)))))) (or (not (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xk tptp.xm) tptp.xI)) (not (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xl tptp.xn) tptp.xJ)) (not (= (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xm) (tptp.sdtpldt0 tptp.xl tptp.xn)) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn))))))) :rule resolution :premises (t87 t88))
% 11.08/11.34  (step t90 (cl (=> (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)))))) (or (not (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xk tptp.xm) tptp.xI)) (not (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xl tptp.xn) tptp.xJ)) (not (= (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xm) (tptp.sdtpldt0 tptp.xl tptp.xn)) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn))))))) :rule contraction :premises (t89))
% 11.08/11.34  (step t91 (cl (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn))))))) (or (not (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xk tptp.xm) tptp.xI)) (not (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xl tptp.xn) tptp.xJ)) (not (= (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xm) (tptp.sdtpldt0 tptp.xl tptp.xn)) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)))))) :rule implies :premises (t90))
% 11.08/11.34  (step t92 (cl (not (or (not (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xk tptp.xm) tptp.xI)) (not (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xl tptp.xn) tptp.xJ)) (not (= (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xm) (tptp.sdtpldt0 tptp.xl tptp.xn)) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)))))) (not (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xk tptp.xm) tptp.xI)) (not (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xl tptp.xn) tptp.xJ)) (not (= (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xm) (tptp.sdtpldt0 tptp.xl tptp.xn)) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn))))) :rule or_pos)
% 11.08/11.34  (step t93 (cl (not (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xk tptp.xm) tptp.xI)) (not (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xl tptp.xn) tptp.xJ)) (not (= (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xm) (tptp.sdtpldt0 tptp.xl tptp.xn)) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)))) (not (or (not (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xk tptp.xm) tptp.xI)) (not (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xl tptp.xn) tptp.xJ)) (not (= (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xm) (tptp.sdtpldt0 tptp.xl tptp.xn)) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn))))))) :rule reordering :premises (t92))
% 11.08/11.34  (step t94 (cl (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xk tptp.xm) tptp.xI)) :rule and :premises (a28))
% 11.08/11.34  (step t95 (cl (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xl tptp.xn) tptp.xJ)) :rule and :premises (a28))
% 11.08/11.34  (step t96 (cl (not (= (= (tptp.sdtpldt0 tptp.xx tptp.xy) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xm) (tptp.sdtpldt0 tptp.xl tptp.xn))) (= (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xm) (tptp.sdtpldt0 tptp.xl tptp.xn)) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn))))) (not (= (tptp.sdtpldt0 tptp.xx tptp.xy) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xm) (tptp.sdtpldt0 tptp.xl tptp.xn)))) (= (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xm) (tptp.sdtpldt0 tptp.xl tptp.xn)) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)))) :rule equiv_pos2)
% 11.08/11.34  (step t97 (cl (= tptp.xx (tptp.sdtpldt0 tptp.xk tptp.xl))) :rule and :premises (t17))
% 11.08/11.34  (step t98 (cl (= tptp.xy (tptp.sdtpldt0 tptp.xm tptp.xn))) :rule and :premises (t17))
% 11.08/11.34  (step t99 (cl (= (tptp.sdtpldt0 tptp.xx tptp.xy) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)))) :rule cong :premises (t97 t98))
% 11.08/11.34  (step t100 (cl (= (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xm) (tptp.sdtpldt0 tptp.xl tptp.xn)) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xm) (tptp.sdtpldt0 tptp.xl tptp.xn)))) :rule refl)
% 11.08/11.34  (step t101 (cl (= (= (tptp.sdtpldt0 tptp.xx tptp.xy) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xm) (tptp.sdtpldt0 tptp.xl tptp.xn))) (= (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xm) (tptp.sdtpldt0 tptp.xl tptp.xn))))) :rule cong :premises (t99 t100))
% 11.08/11.34  (step t102 (cl (= (= (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xm) (tptp.sdtpldt0 tptp.xl tptp.xn))) (= (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xm) (tptp.sdtpldt0 tptp.xl tptp.xn)) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn))))) :rule all_simplify)
% 11.08/11.34  (step t103 (cl (= (= (tptp.sdtpldt0 tptp.xx tptp.xy) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xm) (tptp.sdtpldt0 tptp.xl tptp.xn))) (= (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xm) (tptp.sdtpldt0 tptp.xl tptp.xn)) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn))))) :rule trans :premises (t101 t102))
% 11.08/11.34  (step t104 (cl (= (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xm) (tptp.sdtpldt0 tptp.xl tptp.xn)) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)))) :rule resolution :premises (t96 t103 a30))
% 11.08/11.34  (step t105 (cl (not (or (not (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xk tptp.xm) tptp.xI)) (not (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xl tptp.xn) tptp.xJ)) (not (= (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xm) (tptp.sdtpldt0 tptp.xl tptp.xn)) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn))))))) :rule resolution :premises (t93 t94 t95 t104))
% 11.08/11.34  (step t106 (cl (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)))))))) :rule resolution :premises (t91 t105))
% 11.08/11.34  (step t107 (cl (not (= (=> (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ)))) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt1 tptp.xI tptp.xJ)))) (=> (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ)))) (= (tptp.aElementOf0 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn))))))))))) (not (=> (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ)))) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt1 tptp.xI tptp.xJ))))) (=> (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ)))) (= (tptp.aElementOf0 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)))))))))) :rule equiv_pos2)
% 11.15/11.34  (step t108 (cl (= (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ)))) (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ)))))) :rule refl)
% 11.15/11.34  (step t109 (cl (= (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt1 tptp.xI tptp.xJ))) (= (tptp.aElementOf0 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt0 W4 W5))))))))) :rule all_simplify)
% 11.15/11.34  (step t110 (cl (= (tptp.aElementOf0 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (tptp.aElementOf0 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt1 tptp.xI tptp.xJ)))) :rule refl)
% 11.15/11.34  (anchor :step t111 :args ((W4 $$unsorted) (:= W4 W4) (W5 $$unsorted) (:= W5 W5)))
% 11.15/11.34  (step t111.t1 (cl (= W4 W4)) :rule refl)
% 11.15/11.34  (step t111.t2 (cl (= W5 W5)) :rule refl)
% 11.15/11.34  (step t111.t3 (cl (= (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W4 tptp.xI)))) :rule refl)
% 11.15/11.34  (step t111.t4 (cl (= (not (tptp.aElementOf0 W5 tptp.xJ)) (not (tptp.aElementOf0 W5 tptp.xJ)))) :rule refl)
% 11.15/11.34  (step t111.t5 (cl (= (= (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt0 W4 W5)) (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn))))) :rule all_simplify)
% 11.15/11.34  (step t111.t6 (cl (= (not (= (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt0 W4 W5))) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)))))) :rule cong :premises (t111.t5))
% 11.15/11.34  (step t111.t7 (cl (= (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt0 W4 W5)))) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn))))))) :rule cong :premises (t111.t3 t111.t4 t111.t6))
% 11.15/11.34  (step t111 (cl (= (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt0 W4 W5))))) (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)))))))) :rule bind)
% 11.15/11.34  (step t112 (cl (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt0 W4 W5)))))) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn))))))))) :rule cong :premises (t111))
% 11.15/11.34  (step t113 (cl (= (= (tptp.aElementOf0 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt0 W4 W5))))))) (= (tptp.aElementOf0 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)))))))))) :rule cong :premises (t110 t112))
% 11.15/11.34  (step t114 (cl (= (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt1 tptp.xI tptp.xJ))) (= (tptp.aElementOf0 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)))))))))) :rule trans :premises (t109 t113))
% 11.15/11.34  (step t115 (cl (= (=> (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ)))) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt1 tptp.xI tptp.xJ)))) (=> (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ)))) (= (tptp.aElementOf0 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn))))))))))) :rule cong :premises (t108 t114))
% 11.15/11.34  (step t116 (cl (=> (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ)))) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt1 tptp.xI tptp.xJ)))) (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ))))) :rule implies_neg1)
% 11.15/11.34  (anchor :step t117)
% 11.15/11.34  (assume t117.a0 (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ)))))
% 11.15/11.34  (step t117.t1 (cl (or (not (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ))))) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt1 tptp.xI tptp.xJ))))) :rule forall_inst :args ((:= W3 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)))))
% 11.15/11.34  (step t117.t2 (cl (not (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ))))) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt1 tptp.xI tptp.xJ)))) :rule or :premises (t117.t1))
% 11.15/11.34  (step t117.t3 (cl (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt1 tptp.xI tptp.xJ)))) :rule resolution :premises (t117.t2 t117.a0))
% 11.15/11.34  (step t117 (cl (not (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ))))) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt1 tptp.xI tptp.xJ)))) :rule subproof :discharge (t117.a0))
% 11.15/11.34  (step t118 (cl (=> (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ)))) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt1 tptp.xI tptp.xJ)))) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt1 tptp.xI tptp.xJ)))) :rule resolution :premises (t116 t117))
% 11.15/11.34  (step t119 (cl (=> (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ)))) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt1 tptp.xI tptp.xJ)))) (not (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt1 tptp.xI tptp.xJ))))) :rule implies_neg2)
% 11.15/11.34  (step t120 (cl (=> (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ)))) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt1 tptp.xI tptp.xJ)))) (=> (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ)))) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt1 tptp.xI tptp.xJ))))) :rule resolution :premises (t118 t119))
% 11.15/11.34  (step t121 (cl (=> (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ)))) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt1 tptp.xI tptp.xJ))))) :rule contraction :premises (t120))
% 11.15/11.34  (step t122 (cl (=> (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ)))) (= (tptp.aElementOf0 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)))))))))) :rule resolution :premises (t107 t115 t121))
% 11.15/11.34  (step t123 (cl (not (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ))))) (= (tptp.aElementOf0 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn))))))))) :rule implies :premises (t122))
% 11.15/11.34  (step t124 (cl (not (and (tptp.aSet0 (tptp.sdtpldt1 tptp.xI tptp.xJ)) (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ)))))) (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ))))) :rule and_pos)
% 11.15/11.34  (step t125 (cl (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ)))) (not (and (tptp.aSet0 (tptp.sdtpldt1 tptp.xI tptp.xJ)) (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ))))))) :rule reordering :premises (t124))
% 11.15/11.34  (step t126 (cl (not (or (not (tptp.aSet0 tptp.xI)) (not (tptp.aSet0 tptp.xJ)) (and (tptp.aSet0 (tptp.sdtpldt1 tptp.xI tptp.xJ)) (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ))))))) (not (tptp.aSet0 tptp.xI)) (not (tptp.aSet0 tptp.xJ)) (and (tptp.aSet0 (tptp.sdtpldt1 tptp.xI tptp.xJ)) (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ)))))) :rule or_pos)
% 11.15/11.34  (step t127 (cl (not (tptp.aSet0 tptp.xI)) (not (tptp.aSet0 tptp.xJ)) (and (tptp.aSet0 (tptp.sdtpldt1 tptp.xI tptp.xJ)) (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ))))) (not (or (not (tptp.aSet0 tptp.xI)) (not (tptp.aSet0 tptp.xJ)) (and (tptp.aSet0 (tptp.sdtpldt1 tptp.xI tptp.xJ)) (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ)))))))) :rule reordering :premises (t126))
% 11.15/11.34  (step t128 (cl (not (and (tptp.aSet0 tptp.xI) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1183 $$unsorted) (BOUND_VARIABLE_1176 $$unsorted)) (or (not (tptp.aElementOf0 W1 tptp.xI)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1176 tptp.xI)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1176) tptp.xI)) (or (not (tptp.aElement0 BOUND_VARIABLE_1183)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1183 W1) tptp.xI))))))) (tptp.aSet0 tptp.xI)) :rule and_pos)
% 11.15/11.34  (step t129 (cl (tptp.aSet0 tptp.xI) (not (and (tptp.aSet0 tptp.xI) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1183 $$unsorted) (BOUND_VARIABLE_1176 $$unsorted)) (or (not (tptp.aElementOf0 W1 tptp.xI)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1176 tptp.xI)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1176) tptp.xI)) (or (not (tptp.aElement0 BOUND_VARIABLE_1183)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1183 W1) tptp.xI)))))))) :rule reordering :premises (t128))
% 11.15/11.34  (step t130 (cl (not (= (tptp.aIdeal0 tptp.xI) (and (tptp.aSet0 tptp.xI) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1183 $$unsorted) (BOUND_VARIABLE_1176 $$unsorted)) (or (not (tptp.aElementOf0 W1 tptp.xI)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1176 tptp.xI)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1176) tptp.xI)) (or (not (tptp.aElement0 BOUND_VARIABLE_1183)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1183 W1) tptp.xI)))))))) (not (tptp.aIdeal0 tptp.xI)) (and (tptp.aSet0 tptp.xI) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1183 $$unsorted) (BOUND_VARIABLE_1176 $$unsorted)) (or (not (tptp.aElementOf0 W1 tptp.xI)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1176 tptp.xI)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1176) tptp.xI)) (or (not (tptp.aElement0 BOUND_VARIABLE_1183)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1183 W1) tptp.xI))))))) :rule equiv_pos2)
% 11.15/11.34  (step t131 (cl (not (tptp.aIdeal0 tptp.xI)) (and (tptp.aSet0 tptp.xI) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1183 $$unsorted) (BOUND_VARIABLE_1176 $$unsorted)) (or (not (tptp.aElementOf0 W1 tptp.xI)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1176 tptp.xI)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1176) tptp.xI)) (or (not (tptp.aElement0 BOUND_VARIABLE_1183)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1183 W1) tptp.xI)))))) (not (= (tptp.aIdeal0 tptp.xI) (and (tptp.aSet0 tptp.xI) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1183 $$unsorted) (BOUND_VARIABLE_1176 $$unsorted)) (or (not (tptp.aElementOf0 W1 tptp.xI)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1176 tptp.xI)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1176) tptp.xI)) (or (not (tptp.aElement0 BOUND_VARIABLE_1183)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1183 W1) tptp.xI))))))))) :rule reordering :premises (t130))
% 11.15/11.34  (step t132 (cl (tptp.aIdeal0 tptp.xI)) :rule and :premises (a24))
% 11.15/11.34  (step t133 (cl (=> (forall ((W0 $$unsorted)) (= (tptp.aIdeal0 W0) (and (tptp.aSet0 W0) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1183 $$unsorted) (BOUND_VARIABLE_1176 $$unsorted)) (or (not (tptp.aElementOf0 W1 W0)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1176 W0)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1176) W0)) (or (not (tptp.aElement0 BOUND_VARIABLE_1183)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1183 W1) W0)))))))) (= (tptp.aIdeal0 tptp.xI) (and (tptp.aSet0 tptp.xI) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1183 $$unsorted) (BOUND_VARIABLE_1176 $$unsorted)) (or (not (tptp.aElementOf0 W1 tptp.xI)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1176 tptp.xI)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1176) tptp.xI)) (or (not (tptp.aElement0 BOUND_VARIABLE_1183)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1183 W1) tptp.xI)))))))) (forall ((W0 $$unsorted)) (= (tptp.aIdeal0 W0) (and (tptp.aSet0 W0) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1183 $$unsorted) (BOUND_VARIABLE_1176 $$unsorted)) (or (not (tptp.aElementOf0 W1 W0)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1176 W0)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1176) W0)) (or (not (tptp.aElement0 BOUND_VARIABLE_1183)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1183 W1) W0))))))))) :rule implies_neg1)
% 11.15/11.34  (anchor :step t134)
% 11.15/11.34  (assume t134.a0 (forall ((W0 $$unsorted)) (= (tptp.aIdeal0 W0) (and (tptp.aSet0 W0) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1183 $$unsorted) (BOUND_VARIABLE_1176 $$unsorted)) (or (not (tptp.aElementOf0 W1 W0)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1176 W0)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1176) W0)) (or (not (tptp.aElement0 BOUND_VARIABLE_1183)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1183 W1) W0)))))))))
% 11.15/11.34  (step t134.t1 (cl (or (not (forall ((W0 $$unsorted)) (= (tptp.aIdeal0 W0) (and (tptp.aSet0 W0) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1183 $$unsorted) (BOUND_VARIABLE_1176 $$unsorted)) (or (not (tptp.aElementOf0 W1 W0)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1176 W0)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1176) W0)) (or (not (tptp.aElement0 BOUND_VARIABLE_1183)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1183 W1) W0))))))))) (= (tptp.aIdeal0 tptp.xI) (and (tptp.aSet0 tptp.xI) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1183 $$unsorted) (BOUND_VARIABLE_1176 $$unsorted)) (or (not (tptp.aElementOf0 W1 tptp.xI)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1176 tptp.xI)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1176) tptp.xI)) (or (not (tptp.aElement0 BOUND_VARIABLE_1183)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1183 W1) tptp.xI))))))))) :rule forall_inst :args ((:= W0 tptp.xI)))
% 11.15/11.34  (step t134.t2 (cl (not (forall ((W0 $$unsorted)) (= (tptp.aIdeal0 W0) (and (tptp.aSet0 W0) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1183 $$unsorted) (BOUND_VARIABLE_1176 $$unsorted)) (or (not (tptp.aElementOf0 W1 W0)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1176 W0)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1176) W0)) (or (not (tptp.aElement0 BOUND_VARIABLE_1183)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1183 W1) W0))))))))) (= (tptp.aIdeal0 tptp.xI) (and (tptp.aSet0 tptp.xI) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1183 $$unsorted) (BOUND_VARIABLE_1176 $$unsorted)) (or (not (tptp.aElementOf0 W1 tptp.xI)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1176 tptp.xI)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1176) tptp.xI)) (or (not (tptp.aElement0 BOUND_VARIABLE_1183)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1183 W1) tptp.xI)))))))) :rule or :premises (t134.t1))
% 11.15/11.34  (step t134.t3 (cl (= (tptp.aIdeal0 tptp.xI) (and (tptp.aSet0 tptp.xI) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1183 $$unsorted) (BOUND_VARIABLE_1176 $$unsorted)) (or (not (tptp.aElementOf0 W1 tptp.xI)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1176 tptp.xI)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1176) tptp.xI)) (or (not (tptp.aElement0 BOUND_VARIABLE_1183)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1183 W1) tptp.xI)))))))) :rule resolution :premises (t134.t2 t134.a0))
% 11.15/11.34  (step t134 (cl (not (forall ((W0 $$unsorted)) (= (tptp.aIdeal0 W0) (and (tptp.aSet0 W0) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1183 $$unsorted) (BOUND_VARIABLE_1176 $$unsorted)) (or (not (tptp.aElementOf0 W1 W0)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1176 W0)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1176) W0)) (or (not (tptp.aElement0 BOUND_VARIABLE_1183)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1183 W1) W0))))))))) (= (tptp.aIdeal0 tptp.xI) (and (tptp.aSet0 tptp.xI) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1183 $$unsorted) (BOUND_VARIABLE_1176 $$unsorted)) (or (not (tptp.aElementOf0 W1 tptp.xI)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1176 tptp.xI)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1176) tptp.xI)) (or (not (tptp.aElement0 BOUND_VARIABLE_1183)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1183 W1) tptp.xI)))))))) :rule subproof :discharge (t134.a0))
% 11.15/11.34  (step t135 (cl (=> (forall ((W0 $$unsorted)) (= (tptp.aIdeal0 W0) (and (tptp.aSet0 W0) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1183 $$unsorted) (BOUND_VARIABLE_1176 $$unsorted)) (or (not (tptp.aElementOf0 W1 W0)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1176 W0)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1176) W0)) (or (not (tptp.aElement0 BOUND_VARIABLE_1183)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1183 W1) W0)))))))) (= (tptp.aIdeal0 tptp.xI) (and (tptp.aSet0 tptp.xI) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1183 $$unsorted) (BOUND_VARIABLE_1176 $$unsorted)) (or (not (tptp.aElementOf0 W1 tptp.xI)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1176 tptp.xI)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1176) tptp.xI)) (or (not (tptp.aElement0 BOUND_VARIABLE_1183)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1183 W1) tptp.xI)))))))) (= (tptp.aIdeal0 tptp.xI) (and (tptp.aSet0 tptp.xI) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1183 $$unsorted) (BOUND_VARIABLE_1176 $$unsorted)) (or (not (tptp.aElementOf0 W1 tptp.xI)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1176 tptp.xI)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1176) tptp.xI)) (or (not (tptp.aElement0 BOUND_VARIABLE_1183)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1183 W1) tptp.xI)))))))) :rule resolution :premises (t133 t134))
% 11.15/11.34  (step t136 (cl (=> (forall ((W0 $$unsorted)) (= (tptp.aIdeal0 W0) (and (tptp.aSet0 W0) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1183 $$unsorted) (BOUND_VARIABLE_1176 $$unsorted)) (or (not (tptp.aElementOf0 W1 W0)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1176 W0)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1176) W0)) (or (not (tptp.aElement0 BOUND_VARIABLE_1183)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1183 W1) W0)))))))) (= (tptp.aIdeal0 tptp.xI) (and (tptp.aSet0 tptp.xI) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1183 $$unsorted) (BOUND_VARIABLE_1176 $$unsorted)) (or (not (tptp.aElementOf0 W1 tptp.xI)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1176 tptp.xI)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1176) tptp.xI)) (or (not (tptp.aElement0 BOUND_VARIABLE_1183)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1183 W1) tptp.xI)))))))) (not (= (tptp.aIdeal0 tptp.xI) (and (tptp.aSet0 tptp.xI) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1183 $$unsorted) (BOUND_VARIABLE_1176 $$unsorted)) (or (not (tptp.aElementOf0 W1 tptp.xI)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1176 tptp.xI)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1176) tptp.xI)) (or (not (tptp.aElement0 BOUND_VARIABLE_1183)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1183 W1) tptp.xI))))))))) :rule implies_neg2)
% 11.15/11.34  (step t137 (cl (=> (forall ((W0 $$unsorted)) (= (tptp.aIdeal0 W0) (and (tptp.aSet0 W0) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1183 $$unsorted) (BOUND_VARIABLE_1176 $$unsorted)) (or (not (tptp.aElementOf0 W1 W0)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1176 W0)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1176) W0)) (or (not (tptp.aElement0 BOUND_VARIABLE_1183)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1183 W1) W0)))))))) (= (tptp.aIdeal0 tptp.xI) (and (tptp.aSet0 tptp.xI) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1183 $$unsorted) (BOUND_VARIABLE_1176 $$unsorted)) (or (not (tptp.aElementOf0 W1 tptp.xI)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1176 tptp.xI)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1176) tptp.xI)) (or (not (tptp.aElement0 BOUND_VARIABLE_1183)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1183 W1) tptp.xI)))))))) (=> (forall ((W0 $$unsorted)) (= (tptp.aIdeal0 W0) (and (tptp.aSet0 W0) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1183 $$unsorted) (BOUND_VARIABLE_1176 $$unsorted)) (or (not (tptp.aElementOf0 W1 W0)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1176 W0)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1176) W0)) (or (not (tptp.aElement0 BOUND_VARIABLE_1183)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1183 W1) W0)))))))) (= (tptp.aIdeal0 tptp.xI) (and (tptp.aSet0 tptp.xI) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1183 $$unsorted) (BOUND_VARIABLE_1176 $$unsorted)) (or (not (tptp.aElementOf0 W1 tptp.xI)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1176 tptp.xI)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1176) tptp.xI)) (or (not (tptp.aElement0 BOUND_VARIABLE_1183)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1183 W1) tptp.xI))))))))) :rule resolution :premises (t135 t136))
% 11.15/11.34  (step t138 (cl (=> (forall ((W0 $$unsorted)) (= (tptp.aIdeal0 W0) (and (tptp.aSet0 W0) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1183 $$unsorted) (BOUND_VARIABLE_1176 $$unsorted)) (or (not (tptp.aElementOf0 W1 W0)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1176 W0)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1176) W0)) (or (not (tptp.aElement0 BOUND_VARIABLE_1183)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1183 W1) W0)))))))) (= (tptp.aIdeal0 tptp.xI) (and (tptp.aSet0 tptp.xI) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1183 $$unsorted) (BOUND_VARIABLE_1176 $$unsorted)) (or (not (tptp.aElementOf0 W1 tptp.xI)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1176 tptp.xI)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1176) tptp.xI)) (or (not (tptp.aElement0 BOUND_VARIABLE_1183)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1183 W1) tptp.xI))))))))) :rule contraction :premises (t137))
% 11.15/11.34  (step t139 (cl (not (forall ((W0 $$unsorted)) (= (tptp.aIdeal0 W0) (and (tptp.aSet0 W0) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1183 $$unsorted) (BOUND_VARIABLE_1176 $$unsorted)) (or (not (tptp.aElementOf0 W1 W0)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1176 W0)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1176) W0)) (or (not (tptp.aElement0 BOUND_VARIABLE_1183)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1183 W1) W0))))))))) (= (tptp.aIdeal0 tptp.xI) (and (tptp.aSet0 tptp.xI) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1183 $$unsorted) (BOUND_VARIABLE_1176 $$unsorted)) (or (not (tptp.aElementOf0 W1 tptp.xI)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1176 tptp.xI)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1176) tptp.xI)) (or (not (tptp.aElement0 BOUND_VARIABLE_1183)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1183 W1) tptp.xI)))))))) :rule implies :premises (t138))
% 11.15/11.34  (step t140 (cl (not (= (forall ((W0 $$unsorted)) (= (tptp.aIdeal0 W0) (and (tptp.aSet0 W0) (forall ((W1 $$unsorted)) (=> (tptp.aElementOf0 W1 W0) (and (forall ((W2 $$unsorted)) (=> (tptp.aElementOf0 W2 W0) (tptp.aElementOf0 (tptp.sdtpldt0 W1 W2) W0))) (forall ((W2 $$unsorted)) (=> (tptp.aElement0 W2) (tptp.aElementOf0 (tptp.sdtasdt0 W2 W1) W0))))))))) (forall ((W0 $$unsorted)) (= (tptp.aIdeal0 W0) (and (tptp.aSet0 W0) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1183 $$unsorted) (BOUND_VARIABLE_1176 $$unsorted)) (or (not (tptp.aElementOf0 W1 W0)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1176 W0)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1176) W0)) (or (not (tptp.aElement0 BOUND_VARIABLE_1183)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1183 W1) W0)))))))))) (not (forall ((W0 $$unsorted)) (= (tptp.aIdeal0 W0) (and (tptp.aSet0 W0) (forall ((W1 $$unsorted)) (=> (tptp.aElementOf0 W1 W0) (and (forall ((W2 $$unsorted)) (=> (tptp.aElementOf0 W2 W0) (tptp.aElementOf0 (tptp.sdtpldt0 W1 W2) W0))) (forall ((W2 $$unsorted)) (=> (tptp.aElement0 W2) (tptp.aElementOf0 (tptp.sdtasdt0 W2 W1) W0)))))))))) (forall ((W0 $$unsorted)) (= (tptp.aIdeal0 W0) (and (tptp.aSet0 W0) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1183 $$unsorted) (BOUND_VARIABLE_1176 $$unsorted)) (or (not (tptp.aElementOf0 W1 W0)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1176 W0)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1176) W0)) (or (not (tptp.aElement0 BOUND_VARIABLE_1183)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1183 W1) W0))))))))) :rule equiv_pos2)
% 11.15/11.34  (anchor :step t141 :args ((W0 $$unsorted) (:= W0 W0)))
% 11.15/11.34  (step t141.t1 (cl (= W0 W0)) :rule refl)
% 11.15/11.34  (step t141.t2 (cl (= (tptp.aIdeal0 W0) (tptp.aIdeal0 W0))) :rule refl)
% 11.15/11.34  (step t141.t3 (cl (= (tptp.aSet0 W0) (tptp.aSet0 W0))) :rule refl)
% 11.15/11.34  (anchor :step t141.t4 :args ((W1 $$unsorted) (:= W1 W1)))
% 11.15/11.34  (step t141.t4.t1 (cl (= W1 W1)) :rule refl)
% 11.15/11.34  (step t141.t4.t2 (cl (= (tptp.aElementOf0 W1 W0) (tptp.aElementOf0 W1 W0))) :rule refl)
% 11.15/11.34  (step t141.t4.t3 (cl (= (forall ((W2 $$unsorted)) (=> (tptp.aElementOf0 W2 W0) (tptp.aElementOf0 (tptp.sdtpldt0 W1 W2) W0))) (forall ((W2 $$unsorted)) (or (not (tptp.aElementOf0 W2 W0)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 W2) W0))))) :rule all_simplify)
% 11.15/11.34  (step t141.t4.t4 (cl (= (forall ((W2 $$unsorted)) (=> (tptp.aElement0 W2) (tptp.aElementOf0 (tptp.sdtasdt0 W2 W1) W0))) (forall ((W2 $$unsorted)) (or (not (tptp.aElement0 W2)) (tptp.aElementOf0 (tptp.sdtasdt0 W2 W1) W0))))) :rule all_simplify)
% 11.15/11.34  (step t141.t4.t5 (cl (= (and (forall ((W2 $$unsorted)) (=> (tptp.aElementOf0 W2 W0) (tptp.aElementOf0 (tptp.sdtpldt0 W1 W2) W0))) (forall ((W2 $$unsorted)) (=> (tptp.aElement0 W2) (tptp.aElementOf0 (tptp.sdtasdt0 W2 W1) W0)))) (and (forall ((W2 $$unsorted)) (or (not (tptp.aElementOf0 W2 W0)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 W2) W0))) (forall ((W2 $$unsorted)) (or (not (tptp.aElement0 W2)) (tptp.aElementOf0 (tptp.sdtasdt0 W2 W1) W0)))))) :rule cong :premises (t141.t4.t3 t141.t4.t4))
% 11.15/11.34  (step t141.t4.t6 (cl (= (=> (tptp.aElementOf0 W1 W0) (and (forall ((W2 $$unsorted)) (=> (tptp.aElementOf0 W2 W0) (tptp.aElementOf0 (tptp.sdtpldt0 W1 W2) W0))) (forall ((W2 $$unsorted)) (=> (tptp.aElement0 W2) (tptp.aElementOf0 (tptp.sdtasdt0 W2 W1) W0))))) (=> (tptp.aElementOf0 W1 W0) (and (forall ((W2 $$unsorted)) (or (not (tptp.aElementOf0 W2 W0)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 W2) W0))) (forall ((W2 $$unsorted)) (or (not (tptp.aElement0 W2)) (tptp.aElementOf0 (tptp.sdtasdt0 W2 W1) W0))))))) :rule cong :premises (t141.t4.t2 t141.t4.t5))
% 11.15/11.34  (step t141.t4 (cl (= (forall ((W1 $$unsorted)) (=> (tptp.aElementOf0 W1 W0) (and (forall ((W2 $$unsorted)) (=> (tptp.aElementOf0 W2 W0) (tptp.aElementOf0 (tptp.sdtpldt0 W1 W2) W0))) (forall ((W2 $$unsorted)) (=> (tptp.aElement0 W2) (tptp.aElementOf0 (tptp.sdtasdt0 W2 W1) W0)))))) (forall ((W1 $$unsorted)) (=> (tptp.aElementOf0 W1 W0) (and (forall ((W2 $$unsorted)) (or (not (tptp.aElementOf0 W2 W0)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 W2) W0))) (forall ((W2 $$unsorted)) (or (not (tptp.aElement0 W2)) (tptp.aElementOf0 (tptp.sdtasdt0 W2 W1) W0)))))))) :rule bind)
% 11.15/11.34  (step t141.t5 (cl (= (forall ((W1 $$unsorted)) (=> (tptp.aElementOf0 W1 W0) (and (forall ((W2 $$unsorted)) (or (not (tptp.aElementOf0 W2 W0)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 W2) W0))) (forall ((W2 $$unsorted)) (or (not (tptp.aElement0 W2)) (tptp.aElementOf0 (tptp.sdtasdt0 W2 W1) W0)))))) (forall ((W1 $$unsorted)) (or (not (tptp.aElementOf0 W1 W0)) (and (forall ((W2 $$unsorted)) (or (not (tptp.aElementOf0 W2 W0)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 W2) W0))) (forall ((W2 $$unsorted)) (or (not (tptp.aElement0 W2)) (tptp.aElementOf0 (tptp.sdtasdt0 W2 W1) W0)))))))) :rule all_simplify)
% 11.15/11.34  (step t141.t6 (cl (= (forall ((W1 $$unsorted)) (or (not (tptp.aElementOf0 W1 W0)) (and (forall ((W2 $$unsorted)) (or (not (tptp.aElementOf0 W2 W0)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 W2) W0))) (forall ((W2 $$unsorted)) (or (not (tptp.aElement0 W2)) (tptp.aElementOf0 (tptp.sdtasdt0 W2 W1) W0)))))) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1183 $$unsorted) (BOUND_VARIABLE_1176 $$unsorted)) (or (not (tptp.aElementOf0 W1 W0)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1176 W0)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1176) W0)) (or (not (tptp.aElement0 BOUND_VARIABLE_1183)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1183 W1) W0))))))) :rule all_simplify)
% 11.15/11.34  (step t141.t7 (cl (= (forall ((W1 $$unsorted)) (=> (tptp.aElementOf0 W1 W0) (and (forall ((W2 $$unsorted)) (or (not (tptp.aElementOf0 W2 W0)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 W2) W0))) (forall ((W2 $$unsorted)) (or (not (tptp.aElement0 W2)) (tptp.aElementOf0 (tptp.sdtasdt0 W2 W1) W0)))))) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1183 $$unsorted) (BOUND_VARIABLE_1176 $$unsorted)) (or (not (tptp.aElementOf0 W1 W0)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1176 W0)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1176) W0)) (or (not (tptp.aElement0 BOUND_VARIABLE_1183)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1183 W1) W0))))))) :rule trans :premises (t141.t5 t141.t6))
% 11.15/11.34  (step t141.t8 (cl (= (forall ((W1 $$unsorted)) (=> (tptp.aElementOf0 W1 W0) (and (forall ((W2 $$unsorted)) (=> (tptp.aElementOf0 W2 W0) (tptp.aElementOf0 (tptp.sdtpldt0 W1 W2) W0))) (forall ((W2 $$unsorted)) (=> (tptp.aElement0 W2) (tptp.aElementOf0 (tptp.sdtasdt0 W2 W1) W0)))))) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1183 $$unsorted) (BOUND_VARIABLE_1176 $$unsorted)) (or (not (tptp.aElementOf0 W1 W0)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1176 W0)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1176) W0)) (or (not (tptp.aElement0 BOUND_VARIABLE_1183)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1183 W1) W0))))))) :rule trans :premises (t141.t4 t141.t7))
% 11.15/11.34  (step t141.t9 (cl (= (and (tptp.aSet0 W0) (forall ((W1 $$unsorted)) (=> (tptp.aElementOf0 W1 W0) (and (forall ((W2 $$unsorted)) (=> (tptp.aElementOf0 W2 W0) (tptp.aElementOf0 (tptp.sdtpldt0 W1 W2) W0))) (forall ((W2 $$unsorted)) (=> (tptp.aElement0 W2) (tptp.aElementOf0 (tptp.sdtasdt0 W2 W1) W0))))))) (and (tptp.aSet0 W0) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1183 $$unsorted) (BOUND_VARIABLE_1176 $$unsorted)) (or (not (tptp.aElementOf0 W1 W0)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1176 W0)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1176) W0)) (or (not (tptp.aElement0 BOUND_VARIABLE_1183)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1183 W1) W0)))))))) :rule cong :premises (t141.t3 t141.t8))
% 11.15/11.34  (step t141.t10 (cl (= (= (tptp.aIdeal0 W0) (and (tptp.aSet0 W0) (forall ((W1 $$unsorted)) (=> (tptp.aElementOf0 W1 W0) (and (forall ((W2 $$unsorted)) (=> (tptp.aElementOf0 W2 W0) (tptp.aElementOf0 (tptp.sdtpldt0 W1 W2) W0))) (forall ((W2 $$unsorted)) (=> (tptp.aElement0 W2) (tptp.aElementOf0 (tptp.sdtasdt0 W2 W1) W0)))))))) (= (tptp.aIdeal0 W0) (and (tptp.aSet0 W0) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1183 $$unsorted) (BOUND_VARIABLE_1176 $$unsorted)) (or (not (tptp.aElementOf0 W1 W0)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1176 W0)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1176) W0)) (or (not (tptp.aElement0 BOUND_VARIABLE_1183)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1183 W1) W0))))))))) :rule cong :premises (t141.t2 t141.t9))
% 11.15/11.34  (step t141 (cl (= (forall ((W0 $$unsorted)) (= (tptp.aIdeal0 W0) (and (tptp.aSet0 W0) (forall ((W1 $$unsorted)) (=> (tptp.aElementOf0 W1 W0) (and (forall ((W2 $$unsorted)) (=> (tptp.aElementOf0 W2 W0) (tptp.aElementOf0 (tptp.sdtpldt0 W1 W2) W0))) (forall ((W2 $$unsorted)) (=> (tptp.aElement0 W2) (tptp.aElementOf0 (tptp.sdtasdt0 W2 W1) W0))))))))) (forall ((W0 $$unsorted)) (= (tptp.aIdeal0 W0) (and (tptp.aSet0 W0) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1183 $$unsorted) (BOUND_VARIABLE_1176 $$unsorted)) (or (not (tptp.aElementOf0 W1 W0)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1176 W0)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1176) W0)) (or (not (tptp.aElement0 BOUND_VARIABLE_1183)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1183 W1) W0)))))))))) :rule bind)
% 11.15/11.34  (step t142 (cl (forall ((W0 $$unsorted)) (= (tptp.aIdeal0 W0) (and (tptp.aSet0 W0) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1183 $$unsorted) (BOUND_VARIABLE_1176 $$unsorted)) (or (not (tptp.aElementOf0 W1 W0)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1176 W0)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1176) W0)) (or (not (tptp.aElement0 BOUND_VARIABLE_1183)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1183 W1) W0))))))))) :rule resolution :premises (t140 t141 a23))
% 11.15/11.34  (step t143 (cl (= (tptp.aIdeal0 tptp.xI) (and (tptp.aSet0 tptp.xI) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1183 $$unsorted) (BOUND_VARIABLE_1176 $$unsorted)) (or (not (tptp.aElementOf0 W1 tptp.xI)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1176 tptp.xI)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1176) tptp.xI)) (or (not (tptp.aElement0 BOUND_VARIABLE_1183)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1183 W1) tptp.xI)))))))) :rule resolution :premises (t139 t142))
% 11.15/11.34  (step t144 (cl (and (tptp.aSet0 tptp.xI) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1183 $$unsorted) (BOUND_VARIABLE_1176 $$unsorted)) (or (not (tptp.aElementOf0 W1 tptp.xI)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1176 tptp.xI)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1176) tptp.xI)) (or (not (tptp.aElement0 BOUND_VARIABLE_1183)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1183 W1) tptp.xI))))))) :rule resolution :premises (t131 t132 t143))
% 11.15/11.34  (step t145 (cl (tptp.aSet0 tptp.xI)) :rule resolution :premises (t129 t144))
% 11.15/11.34  (step t146 (cl (not (and (tptp.aSet0 tptp.xJ) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1183 $$unsorted) (BOUND_VARIABLE_1176 $$unsorted)) (or (not (tptp.aElementOf0 W1 tptp.xJ)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1176 tptp.xJ)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1176) tptp.xJ)) (or (not (tptp.aElement0 BOUND_VARIABLE_1183)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1183 W1) tptp.xJ))))))) (tptp.aSet0 tptp.xJ)) :rule and_pos)
% 11.15/11.34  (step t147 (cl (tptp.aSet0 tptp.xJ) (not (and (tptp.aSet0 tptp.xJ) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1183 $$unsorted) (BOUND_VARIABLE_1176 $$unsorted)) (or (not (tptp.aElementOf0 W1 tptp.xJ)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1176 tptp.xJ)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1176) tptp.xJ)) (or (not (tptp.aElement0 BOUND_VARIABLE_1183)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1183 W1) tptp.xJ)))))))) :rule reordering :premises (t146))
% 11.15/11.34  (step t148 (cl (not (= (tptp.aIdeal0 tptp.xJ) (and (tptp.aSet0 tptp.xJ) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1183 $$unsorted) (BOUND_VARIABLE_1176 $$unsorted)) (or (not (tptp.aElementOf0 W1 tptp.xJ)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1176 tptp.xJ)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1176) tptp.xJ)) (or (not (tptp.aElement0 BOUND_VARIABLE_1183)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1183 W1) tptp.xJ)))))))) (not (tptp.aIdeal0 tptp.xJ)) (and (tptp.aSet0 tptp.xJ) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1183 $$unsorted) (BOUND_VARIABLE_1176 $$unsorted)) (or (not (tptp.aElementOf0 W1 tptp.xJ)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1176 tptp.xJ)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1176) tptp.xJ)) (or (not (tptp.aElement0 BOUND_VARIABLE_1183)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1183 W1) tptp.xJ))))))) :rule equiv_pos2)
% 11.15/11.34  (step t149 (cl (not (tptp.aIdeal0 tptp.xJ)) (and (tptp.aSet0 tptp.xJ) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1183 $$unsorted) (BOUND_VARIABLE_1176 $$unsorted)) (or (not (tptp.aElementOf0 W1 tptp.xJ)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1176 tptp.xJ)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1176) tptp.xJ)) (or (not (tptp.aElement0 BOUND_VARIABLE_1183)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1183 W1) tptp.xJ)))))) (not (= (tptp.aIdeal0 tptp.xJ) (and (tptp.aSet0 tptp.xJ) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1183 $$unsorted) (BOUND_VARIABLE_1176 $$unsorted)) (or (not (tptp.aElementOf0 W1 tptp.xJ)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1176 tptp.xJ)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1176) tptp.xJ)) (or (not (tptp.aElement0 BOUND_VARIABLE_1183)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1183 W1) tptp.xJ))))))))) :rule reordering :premises (t148))
% 11.15/11.34  (step t150 (cl (tptp.aIdeal0 tptp.xJ)) :rule and :premises (a24))
% 11.15/11.34  (step t151 (cl (=> (forall ((W0 $$unsorted)) (= (tptp.aIdeal0 W0) (and (tptp.aSet0 W0) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1183 $$unsorted) (BOUND_VARIABLE_1176 $$unsorted)) (or (not (tptp.aElementOf0 W1 W0)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1176 W0)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1176) W0)) (or (not (tptp.aElement0 BOUND_VARIABLE_1183)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1183 W1) W0)))))))) (= (tptp.aIdeal0 tptp.xJ) (and (tptp.aSet0 tptp.xJ) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1183 $$unsorted) (BOUND_VARIABLE_1176 $$unsorted)) (or (not (tptp.aElementOf0 W1 tptp.xJ)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1176 tptp.xJ)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1176) tptp.xJ)) (or (not (tptp.aElement0 BOUND_VARIABLE_1183)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1183 W1) tptp.xJ)))))))) (forall ((W0 $$unsorted)) (= (tptp.aIdeal0 W0) (and (tptp.aSet0 W0) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1183 $$unsorted) (BOUND_VARIABLE_1176 $$unsorted)) (or (not (tptp.aElementOf0 W1 W0)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1176 W0)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1176) W0)) (or (not (tptp.aElement0 BOUND_VARIABLE_1183)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1183 W1) W0))))))))) :rule implies_neg1)
% 11.15/11.34  (anchor :step t152)
% 11.15/11.34  (assume t152.a0 (forall ((W0 $$unsorted)) (= (tptp.aIdeal0 W0) (and (tptp.aSet0 W0) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1183 $$unsorted) (BOUND_VARIABLE_1176 $$unsorted)) (or (not (tptp.aElementOf0 W1 W0)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1176 W0)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1176) W0)) (or (not (tptp.aElement0 BOUND_VARIABLE_1183)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1183 W1) W0)))))))))
% 11.15/11.34  (step t152.t1 (cl (or (not (forall ((W0 $$unsorted)) (= (tptp.aIdeal0 W0) (and (tptp.aSet0 W0) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1183 $$unsorted) (BOUND_VARIABLE_1176 $$unsorted)) (or (not (tptp.aElementOf0 W1 W0)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1176 W0)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1176) W0)) (or (not (tptp.aElement0 BOUND_VARIABLE_1183)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1183 W1) W0))))))))) (= (tptp.aIdeal0 tptp.xJ) (and (tptp.aSet0 tptp.xJ) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1183 $$unsorted) (BOUND_VARIABLE_1176 $$unsorted)) (or (not (tptp.aElementOf0 W1 tptp.xJ)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1176 tptp.xJ)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1176) tptp.xJ)) (or (not (tptp.aElement0 BOUND_VARIABLE_1183)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1183 W1) tptp.xJ))))))))) :rule forall_inst :args ((:= W0 tptp.xJ)))
% 11.15/11.34  (step t152.t2 (cl (not (forall ((W0 $$unsorted)) (= (tptp.aIdeal0 W0) (and (tptp.aSet0 W0) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1183 $$unsorted) (BOUND_VARIABLE_1176 $$unsorted)) (or (not (tptp.aElementOf0 W1 W0)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1176 W0)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1176) W0)) (or (not (tptp.aElement0 BOUND_VARIABLE_1183)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1183 W1) W0))))))))) (= (tptp.aIdeal0 tptp.xJ) (and (tptp.aSet0 tptp.xJ) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1183 $$unsorted) (BOUND_VARIABLE_1176 $$unsorted)) (or (not (tptp.aElementOf0 W1 tptp.xJ)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1176 tptp.xJ)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1176) tptp.xJ)) (or (not (tptp.aElement0 BOUND_VARIABLE_1183)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1183 W1) tptp.xJ)))))))) :rule or :premises (t152.t1))
% 11.15/11.34  (step t152.t3 (cl (= (tptp.aIdeal0 tptp.xJ) (and (tptp.aSet0 tptp.xJ) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1183 $$unsorted) (BOUND_VARIABLE_1176 $$unsorted)) (or (not (tptp.aElementOf0 W1 tptp.xJ)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1176 tptp.xJ)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1176) tptp.xJ)) (or (not (tptp.aElement0 BOUND_VARIABLE_1183)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1183 W1) tptp.xJ)))))))) :rule resolution :premises (t152.t2 t152.a0))
% 11.15/11.34  (step t152 (cl (not (forall ((W0 $$unsorted)) (= (tptp.aIdeal0 W0) (and (tptp.aSet0 W0) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1183 $$unsorted) (BOUND_VARIABLE_1176 $$unsorted)) (or (not (tptp.aElementOf0 W1 W0)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1176 W0)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1176) W0)) (or (not (tptp.aElement0 BOUND_VARIABLE_1183)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1183 W1) W0))))))))) (= (tptp.aIdeal0 tptp.xJ) (and (tptp.aSet0 tptp.xJ) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1183 $$unsorted) (BOUND_VARIABLE_1176 $$unsorted)) (or (not (tptp.aElementOf0 W1 tptp.xJ)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1176 tptp.xJ)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1176) tptp.xJ)) (or (not (tptp.aElement0 BOUND_VARIABLE_1183)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1183 W1) tptp.xJ)))))))) :rule subproof :discharge (t152.a0))
% 11.15/11.34  (step t153 (cl (=> (forall ((W0 $$unsorted)) (= (tptp.aIdeal0 W0) (and (tptp.aSet0 W0) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1183 $$unsorted) (BOUND_VARIABLE_1176 $$unsorted)) (or (not (tptp.aElementOf0 W1 W0)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1176 W0)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1176) W0)) (or (not (tptp.aElement0 BOUND_VARIABLE_1183)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1183 W1) W0)))))))) (= (tptp.aIdeal0 tptp.xJ) (and (tptp.aSet0 tptp.xJ) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1183 $$unsorted) (BOUND_VARIABLE_1176 $$unsorted)) (or (not (tptp.aElementOf0 W1 tptp.xJ)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1176 tptp.xJ)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1176) tptp.xJ)) (or (not (tptp.aElement0 BOUND_VARIABLE_1183)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1183 W1) tptp.xJ)))))))) (= (tptp.aIdeal0 tptp.xJ) (and (tptp.aSet0 tptp.xJ) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1183 $$unsorted) (BOUND_VARIABLE_1176 $$unsorted)) (or (not (tptp.aElementOf0 W1 tptp.xJ)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1176 tptp.xJ)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1176) tptp.xJ)) (or (not (tptp.aElement0 BOUND_VARIABLE_1183)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1183 W1) tptp.xJ)))))))) :rule resolution :premises (t151 t152))
% 11.15/11.34  (step t154 (cl (=> (forall ((W0 $$unsorted)) (= (tptp.aIdeal0 W0) (and (tptp.aSet0 W0) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1183 $$unsorted) (BOUND_VARIABLE_1176 $$unsorted)) (or (not (tptp.aElementOf0 W1 W0)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1176 W0)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1176) W0)) (or (not (tptp.aElement0 BOUND_VARIABLE_1183)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1183 W1) W0)))))))) (= (tptp.aIdeal0 tptp.xJ) (and (tptp.aSet0 tptp.xJ) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1183 $$unsorted) (BOUND_VARIABLE_1176 $$unsorted)) (or (not (tptp.aElementOf0 W1 tptp.xJ)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1176 tptp.xJ)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1176) tptp.xJ)) (or (not (tptp.aElement0 BOUND_VARIABLE_1183)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1183 W1) tptp.xJ)))))))) (not (= (tptp.aIdeal0 tptp.xJ) (and (tptp.aSet0 tptp.xJ) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1183 $$unsorted) (BOUND_VARIABLE_1176 $$unsorted)) (or (not (tptp.aElementOf0 W1 tptp.xJ)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1176 tptp.xJ)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1176) tptp.xJ)) (or (not (tptp.aElement0 BOUND_VARIABLE_1183)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1183 W1) tptp.xJ))))))))) :rule implies_neg2)
% 11.15/11.34  (step t155 (cl (=> (forall ((W0 $$unsorted)) (= (tptp.aIdeal0 W0) (and (tptp.aSet0 W0) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1183 $$unsorted) (BOUND_VARIABLE_1176 $$unsorted)) (or (not (tptp.aElementOf0 W1 W0)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1176 W0)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1176) W0)) (or (not (tptp.aElement0 BOUND_VARIABLE_1183)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1183 W1) W0)))))))) (= (tptp.aIdeal0 tptp.xJ) (and (tptp.aSet0 tptp.xJ) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1183 $$unsorted) (BOUND_VARIABLE_1176 $$unsorted)) (or (not (tptp.aElementOf0 W1 tptp.xJ)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1176 tptp.xJ)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1176) tptp.xJ)) (or (not (tptp.aElement0 BOUND_VARIABLE_1183)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1183 W1) tptp.xJ)))))))) (=> (forall ((W0 $$unsorted)) (= (tptp.aIdeal0 W0) (and (tptp.aSet0 W0) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1183 $$unsorted) (BOUND_VARIABLE_1176 $$unsorted)) (or (not (tptp.aElementOf0 W1 W0)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1176 W0)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1176) W0)) (or (not (tptp.aElement0 BOUND_VARIABLE_1183)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1183 W1) W0)))))))) (= (tptp.aIdeal0 tptp.xJ) (and (tptp.aSet0 tptp.xJ) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1183 $$unsorted) (BOUND_VARIABLE_1176 $$unsorted)) (or (not (tptp.aElementOf0 W1 tptp.xJ)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1176 tptp.xJ)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1176) tptp.xJ)) (or (not (tptp.aElement0 BOUND_VARIABLE_1183)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1183 W1) tptp.xJ))))))))) :rule resolution :premises (t153 t154))
% 11.15/11.34  (step t156 (cl (=> (forall ((W0 $$unsorted)) (= (tptp.aIdeal0 W0) (and (tptp.aSet0 W0) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1183 $$unsorted) (BOUND_VARIABLE_1176 $$unsorted)) (or (not (tptp.aElementOf0 W1 W0)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1176 W0)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1176) W0)) (or (not (tptp.aElement0 BOUND_VARIABLE_1183)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1183 W1) W0)))))))) (= (tptp.aIdeal0 tptp.xJ) (and (tptp.aSet0 tptp.xJ) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1183 $$unsorted) (BOUND_VARIABLE_1176 $$unsorted)) (or (not (tptp.aElementOf0 W1 tptp.xJ)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1176 tptp.xJ)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1176) tptp.xJ)) (or (not (tptp.aElement0 BOUND_VARIABLE_1183)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1183 W1) tptp.xJ))))))))) :rule contraction :premises (t155))
% 11.15/11.34  (step t157 (cl (not (forall ((W0 $$unsorted)) (= (tptp.aIdeal0 W0) (and (tptp.aSet0 W0) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1183 $$unsorted) (BOUND_VARIABLE_1176 $$unsorted)) (or (not (tptp.aElementOf0 W1 W0)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1176 W0)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1176) W0)) (or (not (tptp.aElement0 BOUND_VARIABLE_1183)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1183 W1) W0))))))))) (= (tptp.aIdeal0 tptp.xJ) (and (tptp.aSet0 tptp.xJ) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1183 $$unsorted) (BOUND_VARIABLE_1176 $$unsorted)) (or (not (tptp.aElementOf0 W1 tptp.xJ)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1176 tptp.xJ)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1176) tptp.xJ)) (or (not (tptp.aElement0 BOUND_VARIABLE_1183)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1183 W1) tptp.xJ)))))))) :rule implies :premises (t156))
% 11.15/11.34  (step t158 (cl (= (tptp.aIdeal0 tptp.xJ) (and (tptp.aSet0 tptp.xJ) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1183 $$unsorted) (BOUND_VARIABLE_1176 $$unsorted)) (or (not (tptp.aElementOf0 W1 tptp.xJ)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1176 tptp.xJ)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1176) tptp.xJ)) (or (not (tptp.aElement0 BOUND_VARIABLE_1183)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1183 W1) tptp.xJ)))))))) :rule resolution :premises (t157 t142))
% 11.15/11.34  (step t159 (cl (and (tptp.aSet0 tptp.xJ) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1183 $$unsorted) (BOUND_VARIABLE_1176 $$unsorted)) (or (not (tptp.aElementOf0 W1 tptp.xJ)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1176 tptp.xJ)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1176) tptp.xJ)) (or (not (tptp.aElement0 BOUND_VARIABLE_1183)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1183 W1) tptp.xJ))))))) :rule resolution :premises (t149 t150 t158))
% 11.15/11.34  (step t160 (cl (tptp.aSet0 tptp.xJ)) :rule resolution :premises (t147 t159))
% 11.15/11.34  (step t161 (cl (not (= (=> (forall ((W0 $$unsorted) (W1 $$unsorted) (BOUND_VARIABLE_1118 $$unsorted)) (or (not (tptp.aSet0 W0)) (not (tptp.aSet0 W1)) (= (= (tptp.sdtpldt1 W0 W1) BOUND_VARIABLE_1118) (and (tptp.aSet0 BOUND_VARIABLE_1118) (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 W0)) (not (tptp.aElementOf0 W5 W1)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 BOUND_VARIABLE_1118))))))) (or (not (tptp.aSet0 tptp.xI)) (not (tptp.aSet0 tptp.xJ)) (= (= (tptp.sdtpldt1 tptp.xI tptp.xJ) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (and (tptp.aSet0 (tptp.sdtpldt1 tptp.xI tptp.xJ)) (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ)))))))) (=> (forall ((W0 $$unsorted) (W1 $$unsorted) (BOUND_VARIABLE_1118 $$unsorted)) (or (not (tptp.aSet0 W0)) (not (tptp.aSet0 W1)) (= (= (tptp.sdtpldt1 W0 W1) BOUND_VARIABLE_1118) (and (tptp.aSet0 BOUND_VARIABLE_1118) (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 W0)) (not (tptp.aElementOf0 W5 W1)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 BOUND_VARIABLE_1118))))))) (or (not (tptp.aSet0 tptp.xI)) (not (tptp.aSet0 tptp.xJ)) (and (tptp.aSet0 (tptp.sdtpldt1 tptp.xI tptp.xJ)) (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ))))))))) (not (=> (forall ((W0 $$unsorted) (W1 $$unsorted) (BOUND_VARIABLE_1118 $$unsorted)) (or (not (tptp.aSet0 W0)) (not (tptp.aSet0 W1)) (= (= (tptp.sdtpldt1 W0 W1) BOUND_VARIABLE_1118) (and (tptp.aSet0 BOUND_VARIABLE_1118) (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 W0)) (not (tptp.aElementOf0 W5 W1)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 BOUND_VARIABLE_1118))))))) (or (not (tptp.aSet0 tptp.xI)) (not (tptp.aSet0 tptp.xJ)) (= (= (tptp.sdtpldt1 tptp.xI tptp.xJ) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (and (tptp.aSet0 (tptp.sdtpldt1 tptp.xI tptp.xJ)) (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ))))))))) (=> (forall ((W0 $$unsorted) (W1 $$unsorted) (BOUND_VARIABLE_1118 $$unsorted)) (or (not (tptp.aSet0 W0)) (not (tptp.aSet0 W1)) (= (= (tptp.sdtpldt1 W0 W1) BOUND_VARIABLE_1118) (and (tptp.aSet0 BOUND_VARIABLE_1118) (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 W0)) (not (tptp.aElementOf0 W5 W1)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 BOUND_VARIABLE_1118))))))) (or (not (tptp.aSet0 tptp.xI)) (not (tptp.aSet0 tptp.xJ)) (and (tptp.aSet0 (tptp.sdtpldt1 tptp.xI tptp.xJ)) (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ)))))))) :rule equiv_pos2)
% 11.15/11.34  (step t162 (cl (= (forall ((W0 $$unsorted) (W1 $$unsorted) (BOUND_VARIABLE_1118 $$unsorted)) (or (not (tptp.aSet0 W0)) (not (tptp.aSet0 W1)) (= (= (tptp.sdtpldt1 W0 W1) BOUND_VARIABLE_1118) (and (tptp.aSet0 BOUND_VARIABLE_1118) (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 W0)) (not (tptp.aElementOf0 W5 W1)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 BOUND_VARIABLE_1118))))))) (forall ((W0 $$unsorted) (W1 $$unsorted) (BOUND_VARIABLE_1118 $$unsorted)) (or (not (tptp.aSet0 W0)) (not (tptp.aSet0 W1)) (= (= (tptp.sdtpldt1 W0 W1) BOUND_VARIABLE_1118) (and (tptp.aSet0 BOUND_VARIABLE_1118) (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 W0)) (not (tptp.aElementOf0 W5 W1)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 BOUND_VARIABLE_1118))))))))) :rule refl)
% 11.15/11.34  (step t163 (cl (= (not (tptp.aSet0 tptp.xI)) (not (tptp.aSet0 tptp.xI)))) :rule refl)
% 11.15/11.34  (step t164 (cl (= (not (tptp.aSet0 tptp.xJ)) (not (tptp.aSet0 tptp.xJ)))) :rule refl)
% 11.15/11.34  (step t165 (cl (= (= (tptp.sdtpldt1 tptp.xI tptp.xJ) (tptp.sdtpldt1 tptp.xI tptp.xJ)) true)) :rule all_simplify)
% 11.15/11.34  (step t166 (cl (= (and (tptp.aSet0 (tptp.sdtpldt1 tptp.xI tptp.xJ)) (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ))))) (and (tptp.aSet0 (tptp.sdtpldt1 tptp.xI tptp.xJ)) (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ))))))) :rule refl)
% 11.15/11.34  (step t167 (cl (= (= (= (tptp.sdtpldt1 tptp.xI tptp.xJ) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (and (tptp.aSet0 (tptp.sdtpldt1 tptp.xI tptp.xJ)) (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ)))))) (= true (and (tptp.aSet0 (tptp.sdtpldt1 tptp.xI tptp.xJ)) (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ)))))))) :rule cong :premises (t165 t166))
% 11.15/11.34  (step t168 (cl (= (= true (and (tptp.aSet0 (tptp.sdtpldt1 tptp.xI tptp.xJ)) (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ)))))) (and (tptp.aSet0 (tptp.sdtpldt1 tptp.xI tptp.xJ)) (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ))))))) :rule all_simplify)
% 11.15/11.34  (step t169 (cl (= (= (= (tptp.sdtpldt1 tptp.xI tptp.xJ) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (and (tptp.aSet0 (tptp.sdtpldt1 tptp.xI tptp.xJ)) (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ)))))) (and (tptp.aSet0 (tptp.sdtpldt1 tptp.xI tptp.xJ)) (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ))))))) :rule trans :premises (t167 t168))
% 11.15/11.34  (step t170 (cl (= (or (not (tptp.aSet0 tptp.xI)) (not (tptp.aSet0 tptp.xJ)) (= (= (tptp.sdtpldt1 tptp.xI tptp.xJ) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (and (tptp.aSet0 (tptp.sdtpldt1 tptp.xI tptp.xJ)) (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ))))))) (or (not (tptp.aSet0 tptp.xI)) (not (tptp.aSet0 tptp.xJ)) (and (tptp.aSet0 (tptp.sdtpldt1 tptp.xI tptp.xJ)) (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ)))))))) :rule cong :premises (t163 t164 t169))
% 11.15/11.34  (step t171 (cl (= (=> (forall ((W0 $$unsorted) (W1 $$unsorted) (BOUND_VARIABLE_1118 $$unsorted)) (or (not (tptp.aSet0 W0)) (not (tptp.aSet0 W1)) (= (= (tptp.sdtpldt1 W0 W1) BOUND_VARIABLE_1118) (and (tptp.aSet0 BOUND_VARIABLE_1118) (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 W0)) (not (tptp.aElementOf0 W5 W1)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 BOUND_VARIABLE_1118))))))) (or (not (tptp.aSet0 tptp.xI)) (not (tptp.aSet0 tptp.xJ)) (= (= (tptp.sdtpldt1 tptp.xI tptp.xJ) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (and (tptp.aSet0 (tptp.sdtpldt1 tptp.xI tptp.xJ)) (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ)))))))) (=> (forall ((W0 $$unsorted) (W1 $$unsorted) (BOUND_VARIABLE_1118 $$unsorted)) (or (not (tptp.aSet0 W0)) (not (tptp.aSet0 W1)) (= (= (tptp.sdtpldt1 W0 W1) BOUND_VARIABLE_1118) (and (tptp.aSet0 BOUND_VARIABLE_1118) (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 W0)) (not (tptp.aElementOf0 W5 W1)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 BOUND_VARIABLE_1118))))))) (or (not (tptp.aSet0 tptp.xI)) (not (tptp.aSet0 tptp.xJ)) (and (tptp.aSet0 (tptp.sdtpldt1 tptp.xI tptp.xJ)) (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ))))))))) :rule cong :premises (t162 t170))
% 11.15/11.34  (step t172 (cl (=> (forall ((W0 $$unsorted) (W1 $$unsorted) (BOUND_VARIABLE_1118 $$unsorted)) (or (not (tptp.aSet0 W0)) (not (tptp.aSet0 W1)) (= (= (tptp.sdtpldt1 W0 W1) BOUND_VARIABLE_1118) (and (tptp.aSet0 BOUND_VARIABLE_1118) (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 W0)) (not (tptp.aElementOf0 W5 W1)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 BOUND_VARIABLE_1118))))))) (or (not (tptp.aSet0 tptp.xI)) (not (tptp.aSet0 tptp.xJ)) (= (= (tptp.sdtpldt1 tptp.xI tptp.xJ) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (and (tptp.aSet0 (tptp.sdtpldt1 tptp.xI tptp.xJ)) (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ)))))))) (forall ((W0 $$unsorted) (W1 $$unsorted) (BOUND_VARIABLE_1118 $$unsorted)) (or (not (tptp.aSet0 W0)) (not (tptp.aSet0 W1)) (= (= (tptp.sdtpldt1 W0 W1) BOUND_VARIABLE_1118) (and (tptp.aSet0 BOUND_VARIABLE_1118) (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 W0)) (not (tptp.aElementOf0 W5 W1)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 BOUND_VARIABLE_1118)))))))) :rule implies_neg1)
% 11.15/11.34  (anchor :step t173)
% 11.15/11.34  (assume t173.a0 (forall ((W0 $$unsorted) (W1 $$unsorted) (BOUND_VARIABLE_1118 $$unsorted)) (or (not (tptp.aSet0 W0)) (not (tptp.aSet0 W1)) (= (= (tptp.sdtpldt1 W0 W1) BOUND_VARIABLE_1118) (and (tptp.aSet0 BOUND_VARIABLE_1118) (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 W0)) (not (tptp.aElementOf0 W5 W1)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 BOUND_VARIABLE_1118))))))))
% 11.15/11.34  (step t173.t1 (cl (or (not (forall ((W0 $$unsorted) (W1 $$unsorted) (BOUND_VARIABLE_1118 $$unsorted)) (or (not (tptp.aSet0 W0)) (not (tptp.aSet0 W1)) (= (= (tptp.sdtpldt1 W0 W1) BOUND_VARIABLE_1118) (and (tptp.aSet0 BOUND_VARIABLE_1118) (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 W0)) (not (tptp.aElementOf0 W5 W1)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 BOUND_VARIABLE_1118)))))))) (or (not (tptp.aSet0 tptp.xI)) (not (tptp.aSet0 tptp.xJ)) (= (= (tptp.sdtpldt1 tptp.xI tptp.xJ) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (and (tptp.aSet0 (tptp.sdtpldt1 tptp.xI tptp.xJ)) (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ))))))))) :rule forall_inst :args ((:= W0 tptp.xI) (:= W1 tptp.xJ) (:= BOUND_VARIABLE_1118 (tptp.sdtpldt1 tptp.xI tptp.xJ))))
% 11.15/11.34  (step t173.t2 (cl (not (forall ((W0 $$unsorted) (W1 $$unsorted) (BOUND_VARIABLE_1118 $$unsorted)) (or (not (tptp.aSet0 W0)) (not (tptp.aSet0 W1)) (= (= (tptp.sdtpldt1 W0 W1) BOUND_VARIABLE_1118) (and (tptp.aSet0 BOUND_VARIABLE_1118) (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 W0)) (not (tptp.aElementOf0 W5 W1)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 BOUND_VARIABLE_1118)))))))) (or (not (tptp.aSet0 tptp.xI)) (not (tptp.aSet0 tptp.xJ)) (= (= (tptp.sdtpldt1 tptp.xI tptp.xJ) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (and (tptp.aSet0 (tptp.sdtpldt1 tptp.xI tptp.xJ)) (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ)))))))) :rule or :premises (t173.t1))
% 11.15/11.34  (step t173.t3 (cl (or (not (tptp.aSet0 tptp.xI)) (not (tptp.aSet0 tptp.xJ)) (= (= (tptp.sdtpldt1 tptp.xI tptp.xJ) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (and (tptp.aSet0 (tptp.sdtpldt1 tptp.xI tptp.xJ)) (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ)))))))) :rule resolution :premises (t173.t2 t173.a0))
% 11.15/11.34  (step t173 (cl (not (forall ((W0 $$unsorted) (W1 $$unsorted) (BOUND_VARIABLE_1118 $$unsorted)) (or (not (tptp.aSet0 W0)) (not (tptp.aSet0 W1)) (= (= (tptp.sdtpldt1 W0 W1) BOUND_VARIABLE_1118) (and (tptp.aSet0 BOUND_VARIABLE_1118) (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 W0)) (not (tptp.aElementOf0 W5 W1)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 BOUND_VARIABLE_1118)))))))) (or (not (tptp.aSet0 tptp.xI)) (not (tptp.aSet0 tptp.xJ)) (= (= (tptp.sdtpldt1 tptp.xI tptp.xJ) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (and (tptp.aSet0 (tptp.sdtpldt1 tptp.xI tptp.xJ)) (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ)))))))) :rule subproof :discharge (t173.a0))
% 11.15/11.34  (step t174 (cl (=> (forall ((W0 $$unsorted) (W1 $$unsorted) (BOUND_VARIABLE_1118 $$unsorted)) (or (not (tptp.aSet0 W0)) (not (tptp.aSet0 W1)) (= (= (tptp.sdtpldt1 W0 W1) BOUND_VARIABLE_1118) (and (tptp.aSet0 BOUND_VARIABLE_1118) (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 W0)) (not (tptp.aElementOf0 W5 W1)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 BOUND_VARIABLE_1118))))))) (or (not (tptp.aSet0 tptp.xI)) (not (tptp.aSet0 tptp.xJ)) (= (= (tptp.sdtpldt1 tptp.xI tptp.xJ) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (and (tptp.aSet0 (tptp.sdtpldt1 tptp.xI tptp.xJ)) (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ)))))))) (or (not (tptp.aSet0 tptp.xI)) (not (tptp.aSet0 tptp.xJ)) (= (= (tptp.sdtpldt1 tptp.xI tptp.xJ) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (and (tptp.aSet0 (tptp.sdtpldt1 tptp.xI tptp.xJ)) (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ)))))))) :rule resolution :premises (t172 t173))
% 11.15/11.34  (step t175 (cl (=> (forall ((W0 $$unsorted) (W1 $$unsorted) (BOUND_VARIABLE_1118 $$unsorted)) (or (not (tptp.aSet0 W0)) (not (tptp.aSet0 W1)) (= (= (tptp.sdtpldt1 W0 W1) BOUND_VARIABLE_1118) (and (tptp.aSet0 BOUND_VARIABLE_1118) (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 W0)) (not (tptp.aElementOf0 W5 W1)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 BOUND_VARIABLE_1118))))))) (or (not (tptp.aSet0 tptp.xI)) (not (tptp.aSet0 tptp.xJ)) (= (= (tptp.sdtpldt1 tptp.xI tptp.xJ) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (and (tptp.aSet0 (tptp.sdtpldt1 tptp.xI tptp.xJ)) (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ)))))))) (not (or (not (tptp.aSet0 tptp.xI)) (not (tptp.aSet0 tptp.xJ)) (= (= (tptp.sdtpldt1 tptp.xI tptp.xJ) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (and (tptp.aSet0 (tptp.sdtpldt1 tptp.xI tptp.xJ)) (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ))))))))) :rule implies_neg2)
% 11.15/11.34  (step t176 (cl (=> (forall ((W0 $$unsorted) (W1 $$unsorted) (BOUND_VARIABLE_1118 $$unsorted)) (or (not (tptp.aSet0 W0)) (not (tptp.aSet0 W1)) (= (= (tptp.sdtpldt1 W0 W1) BOUND_VARIABLE_1118) (and (tptp.aSet0 BOUND_VARIABLE_1118) (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 W0)) (not (tptp.aElementOf0 W5 W1)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 BOUND_VARIABLE_1118))))))) (or (not (tptp.aSet0 tptp.xI)) (not (tptp.aSet0 tptp.xJ)) (= (= (tptp.sdtpldt1 tptp.xI tptp.xJ) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (and (tptp.aSet0 (tptp.sdtpldt1 tptp.xI tptp.xJ)) (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ)))))))) (=> (forall ((W0 $$unsorted) (W1 $$unsorted) (BOUND_VARIABLE_1118 $$unsorted)) (or (not (tptp.aSet0 W0)) (not (tptp.aSet0 W1)) (= (= (tptp.sdtpldt1 W0 W1) BOUND_VARIABLE_1118) (and (tptp.aSet0 BOUND_VARIABLE_1118) (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 W0)) (not (tptp.aElementOf0 W5 W1)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 BOUND_VARIABLE_1118))))))) (or (not (tptp.aSet0 tptp.xI)) (not (tptp.aSet0 tptp.xJ)) (= (= (tptp.sdtpldt1 tptp.xI tptp.xJ) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (and (tptp.aSet0 (tptp.sdtpldt1 tptp.xI tptp.xJ)) (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ))))))))) :rule resolution :premises (t174 t175))
% 11.15/11.34  (step t177 (cl (=> (forall ((W0 $$unsorted) (W1 $$unsorted) (BOUND_VARIABLE_1118 $$unsorted)) (or (not (tptp.aSet0 W0)) (not (tptp.aSet0 W1)) (= (= (tptp.sdtpldt1 W0 W1) BOUND_VARIABLE_1118) (and (tptp.aSet0 BOUND_VARIABLE_1118) (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 W0)) (not (tptp.aElementOf0 W5 W1)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 BOUND_VARIABLE_1118))))))) (or (not (tptp.aSet0 tptp.xI)) (not (tptp.aSet0 tptp.xJ)) (= (= (tptp.sdtpldt1 tptp.xI tptp.xJ) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (and (tptp.aSet0 (tptp.sdtpldt1 tptp.xI tptp.xJ)) (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ))))))))) :rule contraction :premises (t176))
% 11.15/11.34  (step t178 (cl (=> (forall ((W0 $$unsorted) (W1 $$unsorted) (BOUND_VARIABLE_1118 $$unsorted)) (or (not (tptp.aSet0 W0)) (not (tptp.aSet0 W1)) (= (= (tptp.sdtpldt1 W0 W1) BOUND_VARIABLE_1118) (and (tptp.aSet0 BOUND_VARIABLE_1118) (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 W0)) (not (tptp.aElementOf0 W5 W1)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 BOUND_VARIABLE_1118))))))) (or (not (tptp.aSet0 tptp.xI)) (not (tptp.aSet0 tptp.xJ)) (and (tptp.aSet0 (tptp.sdtpldt1 tptp.xI tptp.xJ)) (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ)))))))) :rule resolution :premises (t161 t171 t177))
% 11.15/11.34  (step t179 (cl (not (forall ((W0 $$unsorted) (W1 $$unsorted) (BOUND_VARIABLE_1118 $$unsorted)) (or (not (tptp.aSet0 W0)) (not (tptp.aSet0 W1)) (= (= (tptp.sdtpldt1 W0 W1) BOUND_VARIABLE_1118) (and (tptp.aSet0 BOUND_VARIABLE_1118) (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 W0)) (not (tptp.aElementOf0 W5 W1)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 BOUND_VARIABLE_1118)))))))) (or (not (tptp.aSet0 tptp.xI)) (not (tptp.aSet0 tptp.xJ)) (and (tptp.aSet0 (tptp.sdtpldt1 tptp.xI tptp.xJ)) (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ))))))) :rule implies :premises (t178))
% 11.15/11.34  (step t180 (cl (not (= (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aSet0 W0) (tptp.aSet0 W1)) (forall ((W2 $$unsorted)) (= (= W2 (tptp.sdtpldt1 W0 W1)) (and (tptp.aSet0 W2) (forall ((W3 $$unsorted)) (= (tptp.aElementOf0 W3 W2) (exists ((W4 $$unsorted) (W5 $$unsorted)) (and (tptp.aElementOf0 W4 W0) (tptp.aElementOf0 W5 W1) (= (tptp.sdtpldt0 W4 W5) W3)))))))))) (forall ((W0 $$unsorted) (W1 $$unsorted) (BOUND_VARIABLE_1118 $$unsorted)) (or (not (tptp.aSet0 W0)) (not (tptp.aSet0 W1)) (= (= (tptp.sdtpldt1 W0 W1) BOUND_VARIABLE_1118) (and (tptp.aSet0 BOUND_VARIABLE_1118) (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 W0)) (not (tptp.aElementOf0 W5 W1)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 BOUND_VARIABLE_1118))))))))) (not (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aSet0 W0) (tptp.aSet0 W1)) (forall ((W2 $$unsorted)) (= (= W2 (tptp.sdtpldt1 W0 W1)) (and (tptp.aSet0 W2) (forall ((W3 $$unsorted)) (= (tptp.aElementOf0 W3 W2) (exists ((W4 $$unsorted) (W5 $$unsorted)) (and (tptp.aElementOf0 W4 W0) (tptp.aElementOf0 W5 W1) (= (tptp.sdtpldt0 W4 W5) W3))))))))))) (forall ((W0 $$unsorted) (W1 $$unsorted) (BOUND_VARIABLE_1118 $$unsorted)) (or (not (tptp.aSet0 W0)) (not (tptp.aSet0 W1)) (= (= (tptp.sdtpldt1 W0 W1) BOUND_VARIABLE_1118) (and (tptp.aSet0 BOUND_VARIABLE_1118) (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 W0)) (not (tptp.aElementOf0 W5 W1)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 BOUND_VARIABLE_1118)))))))) :rule equiv_pos2)
% 11.15/11.34  (anchor :step t181 :args ((W0 $$unsorted) (:= W0 W0) (W1 $$unsorted) (:= W1 W1)))
% 11.15/11.34  (step t181.t1 (cl (= W0 W0)) :rule refl)
% 11.15/11.34  (step t181.t2 (cl (= W1 W1)) :rule refl)
% 11.15/11.34  (step t181.t3 (cl (= (and (tptp.aSet0 W0) (tptp.aSet0 W1)) (and (tptp.aSet0 W0) (tptp.aSet0 W1)))) :rule refl)
% 11.15/11.34  (anchor :step t181.t4 :args ((W2 $$unsorted) (:= W2 W2)))
% 11.15/11.34  (step t181.t4.t1 (cl (= W2 W2)) :rule refl)
% 11.15/11.34  (step t181.t4.t2 (cl (= (= W2 (tptp.sdtpldt1 W0 W1)) (= W2 (tptp.sdtpldt1 W0 W1)))) :rule refl)
% 11.15/11.34  (step t181.t4.t3 (cl (= (tptp.aSet0 W2) (tptp.aSet0 W2))) :rule refl)
% 11.15/11.34  (anchor :step t181.t4.t4 :args ((W3 $$unsorted) (:= W3 W3)))
% 11.15/11.34  (step t181.t4.t4.t1 (cl (= W3 W3)) :rule refl)
% 11.15/11.34  (step t181.t4.t4.t2 (cl (= (tptp.aElementOf0 W3 W2) (tptp.aElementOf0 W3 W2))) :rule refl)
% 11.15/11.34  (anchor :step t181.t4.t4.t3 :args ((W4 $$unsorted) (:= W4 W4) (W5 $$unsorted) (:= W5 W5)))
% 11.15/11.34  (step t181.t4.t4.t3.t1 (cl (= W4 W4)) :rule refl)
% 11.15/11.34  (step t181.t4.t4.t3.t2 (cl (= W5 W5)) :rule refl)
% 11.15/11.34  (step t181.t4.t4.t3.t3 (cl (= (tptp.aElementOf0 W4 W0) (tptp.aElementOf0 W4 W0))) :rule refl)
% 11.15/11.34  (step t181.t4.t4.t3.t4 (cl (= (tptp.aElementOf0 W5 W1) (tptp.aElementOf0 W5 W1))) :rule refl)
% 11.15/11.34  (step t181.t4.t4.t3.t5 (cl (= (= (tptp.sdtpldt0 W4 W5) W3) (= W3 (tptp.sdtpldt0 W4 W5)))) :rule all_simplify)
% 11.15/11.34  (step t181.t4.t4.t3.t6 (cl (= (and (tptp.aElementOf0 W4 W0) (tptp.aElementOf0 W5 W1) (= (tptp.sdtpldt0 W4 W5) W3)) (and (tptp.aElementOf0 W4 W0) (tptp.aElementOf0 W5 W1) (= W3 (tptp.sdtpldt0 W4 W5))))) :rule cong :premises (t181.t4.t4.t3.t3 t181.t4.t4.t3.t4 t181.t4.t4.t3.t5))
% 11.15/11.34  (step t181.t4.t4.t3 (cl (= (exists ((W4 $$unsorted) (W5 $$unsorted)) (and (tptp.aElementOf0 W4 W0) (tptp.aElementOf0 W5 W1) (= (tptp.sdtpldt0 W4 W5) W3))) (exists ((W4 $$unsorted) (W5 $$unsorted)) (and (tptp.aElementOf0 W4 W0) (tptp.aElementOf0 W5 W1) (= W3 (tptp.sdtpldt0 W4 W5)))))) :rule bind)
% 11.15/11.34  (step t181.t4.t4.t4 (cl (= (exists ((W4 $$unsorted) (W5 $$unsorted)) (and (tptp.aElementOf0 W4 W0) (tptp.aElementOf0 W5 W1) (= W3 (tptp.sdtpldt0 W4 W5)))) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (not (and (tptp.aElementOf0 W4 W0) (tptp.aElementOf0 W5 W1) (= W3 (tptp.sdtpldt0 W4 W5)))))))) :rule all_simplify)
% 11.15/11.34  (step t181.t4.t4.t5 (cl (= (forall ((W4 $$unsorted) (W5 $$unsorted)) (not (and (tptp.aElementOf0 W4 W0) (tptp.aElementOf0 W5 W1) (= W3 (tptp.sdtpldt0 W4 W5))))) (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 W0)) (not (tptp.aElementOf0 W5 W1)) (not (= W3 (tptp.sdtpldt0 W4 W5))))))) :rule all_simplify)
% 11.15/11.34  (step t181.t4.t4.t6 (cl (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (not (and (tptp.aElementOf0 W4 W0) (tptp.aElementOf0 W5 W1) (= W3 (tptp.sdtpldt0 W4 W5)))))) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 W0)) (not (tptp.aElementOf0 W5 W1)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))))) :rule cong :premises (t181.t4.t4.t5))
% 11.15/11.34  (step t181.t4.t4.t7 (cl (= (exists ((W4 $$unsorted) (W5 $$unsorted)) (and (tptp.aElementOf0 W4 W0) (tptp.aElementOf0 W5 W1) (= W3 (tptp.sdtpldt0 W4 W5)))) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 W0)) (not (tptp.aElementOf0 W5 W1)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))))) :rule trans :premises (t181.t4.t4.t4 t181.t4.t4.t6))
% 11.15/11.34  (step t181.t4.t4.t8 (cl (= (exists ((W4 $$unsorted) (W5 $$unsorted)) (and (tptp.aElementOf0 W4 W0) (tptp.aElementOf0 W5 W1) (= (tptp.sdtpldt0 W4 W5) W3))) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 W0)) (not (tptp.aElementOf0 W5 W1)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))))) :rule trans :premises (t181.t4.t4.t3 t181.t4.t4.t7))
% 11.15/11.34  (step t181.t4.t4.t9 (cl (= (= (tptp.aElementOf0 W3 W2) (exists ((W4 $$unsorted) (W5 $$unsorted)) (and (tptp.aElementOf0 W4 W0) (tptp.aElementOf0 W5 W1) (= (tptp.sdtpldt0 W4 W5) W3)))) (= (tptp.aElementOf0 W3 W2) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 W0)) (not (tptp.aElementOf0 W5 W1)) (not (= W3 (tptp.sdtpldt0 W4 W5))))))))) :rule cong :premises (t181.t4.t4.t2 t181.t4.t4.t8))
% 11.15/11.34  (step t181.t4.t4 (cl (= (forall ((W3 $$unsorted)) (= (tptp.aElementOf0 W3 W2) (exists ((W4 $$unsorted) (W5 $$unsorted)) (and (tptp.aElementOf0 W4 W0) (tptp.aElementOf0 W5 W1) (= (tptp.sdtpldt0 W4 W5) W3))))) (forall ((W3 $$unsorted)) (= (tptp.aElementOf0 W3 W2) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 W0)) (not (tptp.aElementOf0 W5 W1)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))))))) :rule bind)
% 11.15/11.34  (step t181.t4.t5 (cl (= (and (tptp.aSet0 W2) (forall ((W3 $$unsorted)) (= (tptp.aElementOf0 W3 W2) (exists ((W4 $$unsorted) (W5 $$unsorted)) (and (tptp.aElementOf0 W4 W0) (tptp.aElementOf0 W5 W1) (= (tptp.sdtpldt0 W4 W5) W3)))))) (and (tptp.aSet0 W2) (forall ((W3 $$unsorted)) (= (tptp.aElementOf0 W3 W2) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 W0)) (not (tptp.aElementOf0 W5 W1)) (not (= W3 (tptp.sdtpldt0 W4 W5))))))))))) :rule cong :premises (t181.t4.t3 t181.t4.t4))
% 11.15/11.34  (step t181.t4.t6 (cl (= (= (= W2 (tptp.sdtpldt1 W0 W1)) (and (tptp.aSet0 W2) (forall ((W3 $$unsorted)) (= (tptp.aElementOf0 W3 W2) (exists ((W4 $$unsorted) (W5 $$unsorted)) (and (tptp.aElementOf0 W4 W0) (tptp.aElementOf0 W5 W1) (= (tptp.sdtpldt0 W4 W5) W3))))))) (= (= W2 (tptp.sdtpldt1 W0 W1)) (and (tptp.aSet0 W2) (forall ((W3 $$unsorted)) (= (tptp.aElementOf0 W3 W2) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 W0)) (not (tptp.aElementOf0 W5 W1)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))))))))) :rule cong :premises (t181.t4.t2 t181.t4.t5))
% 11.15/11.34  (step t181.t4 (cl (= (forall ((W2 $$unsorted)) (= (= W2 (tptp.sdtpldt1 W0 W1)) (and (tptp.aSet0 W2) (forall ((W3 $$unsorted)) (= (tptp.aElementOf0 W3 W2) (exists ((W4 $$unsorted) (W5 $$unsorted)) (and (tptp.aElementOf0 W4 W0) (tptp.aElementOf0 W5 W1) (= (tptp.sdtpldt0 W4 W5) W3)))))))) (forall ((W2 $$unsorted)) (= (= W2 (tptp.sdtpldt1 W0 W1)) (and (tptp.aSet0 W2) (forall ((W3 $$unsorted)) (= (tptp.aElementOf0 W3 W2) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 W0)) (not (tptp.aElementOf0 W5 W1)) (not (= W3 (tptp.sdtpldt0 W4 W5))))))))))))) :rule bind)
% 11.15/11.34  (step t181.t5 (cl (= (=> (and (tptp.aSet0 W0) (tptp.aSet0 W1)) (forall ((W2 $$unsorted)) (= (= W2 (tptp.sdtpldt1 W0 W1)) (and (tptp.aSet0 W2) (forall ((W3 $$unsorted)) (= (tptp.aElementOf0 W3 W2) (exists ((W4 $$unsorted) (W5 $$unsorted)) (and (tptp.aElementOf0 W4 W0) (tptp.aElementOf0 W5 W1) (= (tptp.sdtpldt0 W4 W5) W3))))))))) (=> (and (tptp.aSet0 W0) (tptp.aSet0 W1)) (forall ((W2 $$unsorted)) (= (= W2 (tptp.sdtpldt1 W0 W1)) (and (tptp.aSet0 W2) (forall ((W3 $$unsorted)) (= (tptp.aElementOf0 W3 W2) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 W0)) (not (tptp.aElementOf0 W5 W1)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))))))))))) :rule cong :premises (t181.t3 t181.t4))
% 11.15/11.34  (step t181 (cl (= (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aSet0 W0) (tptp.aSet0 W1)) (forall ((W2 $$unsorted)) (= (= W2 (tptp.sdtpldt1 W0 W1)) (and (tptp.aSet0 W2) (forall ((W3 $$unsorted)) (= (tptp.aElementOf0 W3 W2) (exists ((W4 $$unsorted) (W5 $$unsorted)) (and (tptp.aElementOf0 W4 W0) (tptp.aElementOf0 W5 W1) (= (tptp.sdtpldt0 W4 W5) W3)))))))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aSet0 W0) (tptp.aSet0 W1)) (forall ((W2 $$unsorted)) (= (= W2 (tptp.sdtpldt1 W0 W1)) (and (tptp.aSet0 W2) (forall ((W3 $$unsorted)) (= (tptp.aElementOf0 W3 W2) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 W0)) (not (tptp.aElementOf0 W5 W1)) (not (= W3 (tptp.sdtpldt0 W4 W5))))))))))))))) :rule bind)
% 11.15/11.34  (step t182 (cl (= (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aSet0 W0) (tptp.aSet0 W1)) (forall ((W2 $$unsorted)) (= (= W2 (tptp.sdtpldt1 W0 W1)) (and (tptp.aSet0 W2) (forall ((W3 $$unsorted)) (= (tptp.aElementOf0 W3 W2) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 W0)) (not (tptp.aElementOf0 W5 W1)) (not (= W3 (tptp.sdtpldt0 W4 W5))))))))))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aSet0 W0)) (not (tptp.aSet0 W1)) (forall ((W2 $$unsorted)) (= (= W2 (tptp.sdtpldt1 W0 W1)) (and (tptp.aSet0 W2) (forall ((W3 $$unsorted)) (= (tptp.aElementOf0 W3 W2) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 W0)) (not (tptp.aElementOf0 W5 W1)) (not (= W3 (tptp.sdtpldt0 W4 W5))))))))))))))) :rule all_simplify)
% 11.15/11.34  (step t183 (cl (= (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aSet0 W0)) (not (tptp.aSet0 W1)) (forall ((W2 $$unsorted)) (= (= W2 (tptp.sdtpldt1 W0 W1)) (and (tptp.aSet0 W2) (forall ((W3 $$unsorted)) (= (tptp.aElementOf0 W3 W2) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 W0)) (not (tptp.aElementOf0 W5 W1)) (not (= W3 (tptp.sdtpldt0 W4 W5))))))))))))) (forall ((W0 $$unsorted) (W1 $$unsorted) (BOUND_VARIABLE_1118 $$unsorted)) (or (not (tptp.aSet0 W0)) (not (tptp.aSet0 W1)) (= (= BOUND_VARIABLE_1118 (tptp.sdtpldt1 W0 W1)) (and (tptp.aSet0 BOUND_VARIABLE_1118) (forall ((W3 $$unsorted)) (= (tptp.aElementOf0 W3 BOUND_VARIABLE_1118) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 W0)) (not (tptp.aElementOf0 W5 W1)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))))))))))) :rule all_simplify)
% 11.15/11.34  (anchor :step t184 :args ((W0 $$unsorted) (:= W0 W0) (W1 $$unsorted) (:= W1 W1) (BOUND_VARIABLE_1118 $$unsorted) (:= BOUND_VARIABLE_1118 BOUND_VARIABLE_1118)))
% 11.15/11.34  (step t184.t1 (cl (= W0 W0)) :rule refl)
% 11.15/11.34  (step t184.t2 (cl (= W1 W1)) :rule refl)
% 11.15/11.34  (step t184.t3 (cl (= BOUND_VARIABLE_1118 BOUND_VARIABLE_1118)) :rule refl)
% 11.15/11.34  (step t184.t4 (cl (= (not (tptp.aSet0 W0)) (not (tptp.aSet0 W0)))) :rule refl)
% 11.15/11.34  (step t184.t5 (cl (= (not (tptp.aSet0 W1)) (not (tptp.aSet0 W1)))) :rule refl)
% 11.15/11.34  (step t184.t6 (cl (= (= BOUND_VARIABLE_1118 (tptp.sdtpldt1 W0 W1)) (= (tptp.sdtpldt1 W0 W1) BOUND_VARIABLE_1118))) :rule all_simplify)
% 11.15/11.34  (step t184.t7 (cl (= (tptp.aSet0 BOUND_VARIABLE_1118) (tptp.aSet0 BOUND_VARIABLE_1118))) :rule refl)
% 11.15/11.34  (anchor :step t184.t8 :args ((W3 $$unsorted) (:= W3 W3)))
% 11.15/11.34  (step t184.t8.t1 (cl (= W3 W3)) :rule refl)
% 11.15/11.34  (step t184.t8.t2 (cl (= (= (tptp.aElementOf0 W3 BOUND_VARIABLE_1118) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 W0)) (not (tptp.aElementOf0 W5 W1)) (not (= W3 (tptp.sdtpldt0 W4 W5))))))) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 W0)) (not (tptp.aElementOf0 W5 W1)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 BOUND_VARIABLE_1118)))) :rule all_simplify)
% 11.15/11.34  (step t184.t8 (cl (= (forall ((W3 $$unsorted)) (= (tptp.aElementOf0 W3 BOUND_VARIABLE_1118) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 W0)) (not (tptp.aElementOf0 W5 W1)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))))) (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 W0)) (not (tptp.aElementOf0 W5 W1)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 BOUND_VARIABLE_1118))))) :rule bind)
% 11.15/11.34  (step t184.t9 (cl (= (and (tptp.aSet0 BOUND_VARIABLE_1118) (forall ((W3 $$unsorted)) (= (tptp.aElementOf0 W3 BOUND_VARIABLE_1118) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 W0)) (not (tptp.aElementOf0 W5 W1)) (not (= W3 (tptp.sdtpldt0 W4 W5))))))))) (and (tptp.aSet0 BOUND_VARIABLE_1118) (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 W0)) (not (tptp.aElementOf0 W5 W1)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 BOUND_VARIABLE_1118)))))) :rule cong :premises (t184.t7 t184.t8))
% 11.15/11.34  (step t184.t10 (cl (= (= (= BOUND_VARIABLE_1118 (tptp.sdtpldt1 W0 W1)) (and (tptp.aSet0 BOUND_VARIABLE_1118) (forall ((W3 $$unsorted)) (= (tptp.aElementOf0 W3 BOUND_VARIABLE_1118) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 W0)) (not (tptp.aElementOf0 W5 W1)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))))))) (= (= (tptp.sdtpldt1 W0 W1) BOUND_VARIABLE_1118) (and (tptp.aSet0 BOUND_VARIABLE_1118) (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 W0)) (not (tptp.aElementOf0 W5 W1)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 BOUND_VARIABLE_1118))))))) :rule cong :premises (t184.t6 t184.t9))
% 11.15/11.34  (step t184.t11 (cl (= (or (not (tptp.aSet0 W0)) (not (tptp.aSet0 W1)) (= (= BOUND_VARIABLE_1118 (tptp.sdtpldt1 W0 W1)) (and (tptp.aSet0 BOUND_VARIABLE_1118) (forall ((W3 $$unsorted)) (= (tptp.aElementOf0 W3 BOUND_VARIABLE_1118) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 W0)) (not (tptp.aElementOf0 W5 W1)) (not (= W3 (tptp.sdtpldt0 W4 W5))))))))))) (or (not (tptp.aSet0 W0)) (not (tptp.aSet0 W1)) (= (= (tptp.sdtpldt1 W0 W1) BOUND_VARIABLE_1118) (and (tptp.aSet0 BOUND_VARIABLE_1118) (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 W0)) (not (tptp.aElementOf0 W5 W1)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 BOUND_VARIABLE_1118)))))))) :rule cong :premises (t184.t4 t184.t5 t184.t10))
% 11.15/11.34  (step t184 (cl (= (forall ((W0 $$unsorted) (W1 $$unsorted) (BOUND_VARIABLE_1118 $$unsorted)) (or (not (tptp.aSet0 W0)) (not (tptp.aSet0 W1)) (= (= BOUND_VARIABLE_1118 (tptp.sdtpldt1 W0 W1)) (and (tptp.aSet0 BOUND_VARIABLE_1118) (forall ((W3 $$unsorted)) (= (tptp.aElementOf0 W3 BOUND_VARIABLE_1118) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 W0)) (not (tptp.aElementOf0 W5 W1)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))))))))) (forall ((W0 $$unsorted) (W1 $$unsorted) (BOUND_VARIABLE_1118 $$unsorted)) (or (not (tptp.aSet0 W0)) (not (tptp.aSet0 W1)) (= (= (tptp.sdtpldt1 W0 W1) BOUND_VARIABLE_1118) (and (tptp.aSet0 BOUND_VARIABLE_1118) (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 W0)) (not (tptp.aElementOf0 W5 W1)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 BOUND_VARIABLE_1118))))))))) :rule bind)
% 11.15/11.34  (step t185 (cl (= (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aSet0 W0)) (not (tptp.aSet0 W1)) (forall ((W2 $$unsorted)) (= (= W2 (tptp.sdtpldt1 W0 W1)) (and (tptp.aSet0 W2) (forall ((W3 $$unsorted)) (= (tptp.aElementOf0 W3 W2) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 W0)) (not (tptp.aElementOf0 W5 W1)) (not (= W3 (tptp.sdtpldt0 W4 W5))))))))))))) (forall ((W0 $$unsorted) (W1 $$unsorted) (BOUND_VARIABLE_1118 $$unsorted)) (or (not (tptp.aSet0 W0)) (not (tptp.aSet0 W1)) (= (= (tptp.sdtpldt1 W0 W1) BOUND_VARIABLE_1118) (and (tptp.aSet0 BOUND_VARIABLE_1118) (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 W0)) (not (tptp.aElementOf0 W5 W1)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 BOUND_VARIABLE_1118))))))))) :rule trans :premises (t183 t184))
% 11.15/11.34  (step t186 (cl (= (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aSet0 W0) (tptp.aSet0 W1)) (forall ((W2 $$unsorted)) (= (= W2 (tptp.sdtpldt1 W0 W1)) (and (tptp.aSet0 W2) (forall ((W3 $$unsorted)) (= (tptp.aElementOf0 W3 W2) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 W0)) (not (tptp.aElementOf0 W5 W1)) (not (= W3 (tptp.sdtpldt0 W4 W5))))))))))))) (forall ((W0 $$unsorted) (W1 $$unsorted) (BOUND_VARIABLE_1118 $$unsorted)) (or (not (tptp.aSet0 W0)) (not (tptp.aSet0 W1)) (= (= (tptp.sdtpldt1 W0 W1) BOUND_VARIABLE_1118) (and (tptp.aSet0 BOUND_VARIABLE_1118) (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 W0)) (not (tptp.aElementOf0 W5 W1)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 BOUND_VARIABLE_1118))))))))) :rule trans :premises (t182 t185))
% 11.15/11.34  (step t187 (cl (= (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aSet0 W0) (tptp.aSet0 W1)) (forall ((W2 $$unsorted)) (= (= W2 (tptp.sdtpldt1 W0 W1)) (and (tptp.aSet0 W2) (forall ((W3 $$unsorted)) (= (tptp.aElementOf0 W3 W2) (exists ((W4 $$unsorted) (W5 $$unsorted)) (and (tptp.aElementOf0 W4 W0) (tptp.aElementOf0 W5 W1) (= (tptp.sdtpldt0 W4 W5) W3)))))))))) (forall ((W0 $$unsorted) (W1 $$unsorted) (BOUND_VARIABLE_1118 $$unsorted)) (or (not (tptp.aSet0 W0)) (not (tptp.aSet0 W1)) (= (= (tptp.sdtpldt1 W0 W1) BOUND_VARIABLE_1118) (and (tptp.aSet0 BOUND_VARIABLE_1118) (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 W0)) (not (tptp.aElementOf0 W5 W1)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 BOUND_VARIABLE_1118))))))))) :rule trans :premises (t181 t186))
% 11.15/11.34  (step t188 (cl (forall ((W0 $$unsorted) (W1 $$unsorted) (BOUND_VARIABLE_1118 $$unsorted)) (or (not (tptp.aSet0 W0)) (not (tptp.aSet0 W1)) (= (= (tptp.sdtpldt1 W0 W1) BOUND_VARIABLE_1118) (and (tptp.aSet0 BOUND_VARIABLE_1118) (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 W0)) (not (tptp.aElementOf0 W5 W1)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 BOUND_VARIABLE_1118)))))))) :rule resolution :premises (t180 t187 a21))
% 11.15/11.34  (step t189 (cl (or (not (tptp.aSet0 tptp.xI)) (not (tptp.aSet0 tptp.xJ)) (and (tptp.aSet0 (tptp.sdtpldt1 tptp.xI tptp.xJ)) (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ))))))) :rule resolution :premises (t179 t188))
% 11.15/11.34  (step t190 (cl (and (tptp.aSet0 (tptp.sdtpldt1 tptp.xI tptp.xJ)) (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ)))))) :rule resolution :premises (t127 t145 t160 t189))
% 11.15/11.34  (step t191 (cl (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ))))) :rule resolution :premises (t125 t190))
% 11.15/11.34  (step t192 (cl (= (tptp.aElementOf0 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn))))))))) :rule resolution :premises (t123 t191))
% 11.15/11.34  (step t193 (cl (tptp.aElementOf0 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xk tptp.xl) (tptp.sdtpldt0 tptp.xm tptp.xn)) (tptp.sdtpldt1 tptp.xI tptp.xJ))) :rule resolution :premises (t84 t106 t192))
% 11.15/11.34  (step t194 (cl (not (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt1 tptp.xI tptp.xJ)))) :rule resolution :premises (t61 t193))
% 11.15/11.34  (step t195 (cl (not (= (=> (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ)))) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt1 tptp.xI tptp.xJ)))) (=> (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ)))) (= (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl))))))))))) (not (=> (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ)))) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt1 tptp.xI tptp.xJ))))) (=> (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ)))) (= (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)))))))))) :rule equiv_pos2)
% 11.15/11.34  (step t196 (cl (= (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt1 tptp.xI tptp.xJ))) (= (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt0 W4 W5))))))))) :rule all_simplify)
% 11.15/11.34  (step t197 (cl (= (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt1 tptp.xI tptp.xJ)))) :rule refl)
% 11.15/11.34  (anchor :step t198 :args ((W4 $$unsorted) (:= W4 W4) (W5 $$unsorted) (:= W5 W5)))
% 11.15/11.34  (step t198.t1 (cl (= W4 W4)) :rule refl)
% 11.15/11.34  (step t198.t2 (cl (= W5 W5)) :rule refl)
% 11.15/11.34  (step t198.t3 (cl (= (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W4 tptp.xI)))) :rule refl)
% 11.15/11.34  (step t198.t4 (cl (= (not (tptp.aElementOf0 W5 tptp.xJ)) (not (tptp.aElementOf0 W5 tptp.xJ)))) :rule refl)
% 11.15/11.34  (step t198.t5 (cl (= (= (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt0 W4 W5)) (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl))))) :rule all_simplify)
% 11.15/11.34  (step t198.t6 (cl (= (not (= (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt0 W4 W5))) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)))))) :rule cong :premises (t198.t5))
% 11.15/11.34  (step t198.t7 (cl (= (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt0 W4 W5)))) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl))))))) :rule cong :premises (t198.t3 t198.t4 t198.t6))
% 11.15/11.34  (step t198 (cl (= (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt0 W4 W5))))) (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)))))))) :rule bind)
% 11.15/11.34  (step t199 (cl (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt0 W4 W5)))))) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl))))))))) :rule cong :premises (t198))
% 11.15/11.34  (step t200 (cl (= (= (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt0 W4 W5))))))) (= (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)))))))))) :rule cong :premises (t197 t199))
% 11.15/11.34  (step t201 (cl (= (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt1 tptp.xI tptp.xJ))) (= (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)))))))))) :rule trans :premises (t196 t200))
% 11.15/11.34  (step t202 (cl (= (=> (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ)))) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt1 tptp.xI tptp.xJ)))) (=> (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ)))) (= (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl))))))))))) :rule cong :premises (t108 t201))
% 11.15/11.34  (step t203 (cl (=> (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ)))) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt1 tptp.xI tptp.xJ)))) (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ))))) :rule implies_neg1)
% 11.15/11.34  (anchor :step t204)
% 11.15/11.34  (assume t204.a0 (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ)))))
% 11.15/11.34  (step t204.t1 (cl (or (not (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ))))) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt1 tptp.xI tptp.xJ))))) :rule forall_inst :args ((:= W3 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)))))
% 11.15/11.34  (step t204.t2 (cl (not (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ))))) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt1 tptp.xI tptp.xJ)))) :rule or :premises (t204.t1))
% 11.15/11.34  (step t204.t3 (cl (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt1 tptp.xI tptp.xJ)))) :rule resolution :premises (t204.t2 t204.a0))
% 11.15/11.34  (step t204 (cl (not (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ))))) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt1 tptp.xI tptp.xJ)))) :rule subproof :discharge (t204.a0))
% 11.15/11.34  (step t205 (cl (=> (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ)))) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt1 tptp.xI tptp.xJ)))) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt1 tptp.xI tptp.xJ)))) :rule resolution :premises (t203 t204))
% 11.15/11.34  (step t206 (cl (=> (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ)))) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt1 tptp.xI tptp.xJ)))) (not (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt1 tptp.xI tptp.xJ))))) :rule implies_neg2)
% 11.15/11.34  (step t207 (cl (=> (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ)))) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt1 tptp.xI tptp.xJ)))) (=> (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ)))) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt1 tptp.xI tptp.xJ))))) :rule resolution :premises (t205 t206))
% 11.15/11.34  (step t208 (cl (=> (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ)))) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt1 tptp.xI tptp.xJ))))) :rule contraction :premises (t207))
% 11.15/11.34  (step t209 (cl (=> (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ)))) (= (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)))))))))) :rule resolution :premises (t195 t202 t208))
% 11.15/11.34  (step t210 (cl (not (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ))))) (= (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl))))))))) :rule implies :premises (t209))
% 11.15/11.34  (step t211 (cl (= (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl)) (tptp.sdtpldt1 tptp.xI tptp.xJ)) (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl))))))))) :rule resolution :premises (t210 t191))
% 11.15/11.34  (step t212 (cl (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= (tptp.sdtpldt0 W4 W5) (tptp.sdtasdt0 tptp.xz (tptp.sdtpldt0 tptp.xk tptp.xl))))))) :rule resolution :premises (t48 t194 t211))
% 11.15/11.34  (step t213 (cl) :rule resolution :premises (t7 t25 t212))
% 11.15/11.34  
% 11.15/11.34  % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.MfIi6GGnXj/cvc5---1.0.5_7811.smt2
% 11.15/11.34  % cvc5---1.0.5 exiting
% 11.15/11.35  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------