TSTP Solution File: RNG050+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : RNG050+1 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n014.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 17:41:36 EDT 2024
% Result : Theorem 0.38s 0.55s
% Output : Proof 0.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : RNG050+1 : TPTP v8.2.0. Released v4.0.0.
% 0.04/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n014.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat May 25 21:35:39 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.20/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.38/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.38/0.55 % SZS status Theorem for /export/starexec/sandbox/tmp/tmp.bcl4gfjCGn/cvc5---1.0.5_32686.smt2
% 0.38/0.55 % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.bcl4gfjCGn/cvc5---1.0.5_32686.smt2
% 0.38/0.55 (assume a0 (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) true)))
% 0.38/0.55 (assume a1 (tptp.aNaturalNumber0 tptp.sz00))
% 0.38/0.55 (assume a2 (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (and (tptp.aNaturalNumber0 (tptp.szszuzczcdt0 W0)) (not (= (tptp.szszuzczcdt0 W0) tptp.sz00))))))
% 0.38/0.55 (assume a3 (forall ((W0 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (not (= W0 tptp.sz00))) (exists ((W1 $$unsorted)) (and (tptp.aNaturalNumber0 W1) (= W0 (tptp.szszuzczcdt0 W1)))))))
% 0.38/0.55 (assume a4 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (= (tptp.szszuzczcdt0 W0) (tptp.szszuzczcdt0 W1)) (= W0 W1)))))
% 0.38/0.55 (assume a5 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (tptp.iLess0 W0 W1) true))))
% 0.38/0.55 (assume a6 (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (tptp.iLess0 W0 (tptp.szszuzczcdt0 W0)))))
% 0.38/0.55 (assume a7 (forall ((W0 $$unsorted)) (=> (tptp.aScalar0 W0) true)))
% 0.38/0.55 (assume a8 (tptp.aScalar0 tptp.sz0z00))
% 0.38/0.55 (assume a9 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (tptp.aScalar0 (tptp.sdtpldt0 W0 W1)))))
% 0.38/0.55 (assume a10 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (tptp.aScalar0 (tptp.sdtasdt0 W0 W1)))))
% 0.38/0.55 (assume a11 (forall ((W0 $$unsorted)) (=> (tptp.aScalar0 W0) (tptp.aScalar0 (tptp.smndt0 W0)))))
% 0.38/0.55 (assume a12 (forall ((W0 $$unsorted)) (=> (tptp.aScalar0 W0) (and (= (tptp.sdtpldt0 W0 tptp.sz0z00) W0) (= (tptp.sdtpldt0 tptp.sz0z00 W0) W0) (= (tptp.sdtasdt0 W0 tptp.sz0z00) tptp.sz0z00) (= (tptp.sdtasdt0 tptp.sz0z00 W0) tptp.sz0z00) (= (tptp.sdtpldt0 W0 (tptp.smndt0 W0)) tptp.sz0z00) (= (tptp.sdtpldt0 (tptp.smndt0 W0) W0) tptp.sz0z00) (= (tptp.smndt0 (tptp.smndt0 W0)) W0) (= (tptp.smndt0 tptp.sz0z00) tptp.sz0z00)))))
% 0.38/0.55 (assume a13 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1) (tptp.aScalar0 W2)) (and (= (tptp.sdtpldt0 (tptp.sdtpldt0 W0 W1) W2) (tptp.sdtpldt0 W0 (tptp.sdtpldt0 W1 W2))) (= (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W1 W0)) (= (tptp.sdtasdt0 (tptp.sdtasdt0 W0 W1) W2) (tptp.sdtasdt0 W0 (tptp.sdtasdt0 W1 W2))) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0))))))
% 0.38/0.55 (assume a14 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1) (tptp.aScalar0 W2)) (and (= (tptp.sdtasdt0 W0 (tptp.sdtpldt0 W1 W2)) (tptp.sdtpldt0 (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W0 W2))) (= (tptp.sdtasdt0 (tptp.sdtpldt0 W0 W1) W2) (tptp.sdtpldt0 (tptp.sdtasdt0 W0 W2) (tptp.sdtasdt0 W1 W2)))))))
% 0.38/0.55 (assume a15 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted) (W3 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1) (tptp.aScalar0 W2) (tptp.aScalar0 W3)) (= (tptp.sdtasdt0 (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W2 W3)) (tptp.sdtpldt0 (tptp.sdtpldt0 (tptp.sdtasdt0 W0 W2) (tptp.sdtasdt0 W0 W3)) (tptp.sdtpldt0 (tptp.sdtasdt0 W1 W2) (tptp.sdtasdt0 W1 W3)))))))
% 0.38/0.55 (assume a16 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (and (= (tptp.sdtasdt0 W0 (tptp.smndt0 W1)) (tptp.smndt0 (tptp.sdtasdt0 W0 W1))) (= (tptp.sdtasdt0 (tptp.smndt0 W0) W1) (tptp.smndt0 (tptp.sdtasdt0 W0 W1)))))))
% 0.38/0.55 (assume a17 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (= (tptp.sdtasdt0 (tptp.smndt0 W0) (tptp.smndt0 W1)) (tptp.sdtasdt0 W0 W1)))))
% 0.38/0.55 (assume a18 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (=> (tptp.sdtlseqdt0 W0 W1) true))))
% 0.38/0.55 (assume a19 (forall ((W0 $$unsorted)) (=> (tptp.aScalar0 W0) (tptp.sdtlseqdt0 W0 W0))))
% 0.38/0.55 (assume a20 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (=> (and (tptp.sdtlseqdt0 W0 W1) (tptp.sdtlseqdt0 W1 W0)) (= W0 W1)))))
% 0.38/0.55 (assume a21 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1) (tptp.aScalar0 W2)) (=> (and (tptp.sdtlseqdt0 W0 W1) (tptp.sdtlseqdt0 W1 W2)) (tptp.sdtlseqdt0 W0 W2)))))
% 0.38/0.55 (assume a22 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted) (W3 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1) (tptp.aScalar0 W2) (tptp.aScalar0 W3)) (=> (and (tptp.sdtlseqdt0 W0 W1) (tptp.sdtlseqdt0 W2 W3)) (tptp.sdtlseqdt0 (tptp.sdtpldt0 W0 W2) (tptp.sdtpldt0 W1 W3))))))
% 0.38/0.55 (assume a23 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted) (W3 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1) (tptp.aScalar0 W2) (tptp.aScalar0 W3)) (=> (and (tptp.sdtlseqdt0 W0 W1) (tptp.sdtlseqdt0 tptp.sz0z00 W2) (tptp.sdtlseqdt0 W2 W3)) (tptp.sdtlseqdt0 (tptp.sdtasdt0 W0 W2) (tptp.sdtasdt0 W1 W3))))))
% 0.38/0.55 (assume a24 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (or (tptp.sdtlseqdt0 W0 W1) (tptp.sdtlseqdt0 W1 W0)))))
% 0.38/0.55 (assume a25 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (=> (and (tptp.sdtlseqdt0 tptp.sz0z00 W0) (tptp.sdtlseqdt0 tptp.sz0z00 W1)) (and (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtpldt0 W0 W1)) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasdt0 W0 W1)))))))
% 0.38/0.55 (assume a26 (forall ((W0 $$unsorted)) (=> (tptp.aScalar0 W0) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasdt0 W0 W0)))))
% 0.38/0.55 (assume a27 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (=> (and (tptp.sdtlseqdt0 tptp.sz0z00 W0) (tptp.sdtlseqdt0 tptp.sz0z00 W1) (= (tptp.sdtasdt0 W0 W0) (tptp.sdtasdt0 W1 W1))) (= W0 W1)))))
% 0.38/0.55 (assume a28 (forall ((W0 $$unsorted)) (=> (tptp.aVector0 W0) true)))
% 0.38/0.55 (assume a29 (forall ((W0 $$unsorted)) (=> (tptp.aVector0 W0) (tptp.aNaturalNumber0 (tptp.aDimensionOf0 W0)))))
% 0.38/0.55 (assume a30 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aVector0 W0) (tptp.aNaturalNumber0 W1)) (tptp.aScalar0 (tptp.sdtlbdtrb0 W0 W1)))))
% 0.38/0.55 (assume a31 (forall ((W0 $$unsorted)) (=> (tptp.aVector0 W0) (=> (not (= (tptp.aDimensionOf0 W0) tptp.sz00)) (forall ((W1 $$unsorted)) (= (= W1 (tptp.sziznziztdt0 W0)) (and (tptp.aVector0 W1) (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 W1)) (tptp.aDimensionOf0 W0)) (forall ((W2 $$unsorted)) (=> (tptp.aNaturalNumber0 W2) (= (tptp.sdtlbdtrb0 W1 W2) (tptp.sdtlbdtrb0 W0 W2)))))))))))
% 0.38/0.55 (assume a32 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aVector0 W0) (tptp.aVector0 W1)) (=> (and (= (tptp.aDimensionOf0 W0) (tptp.aDimensionOf0 W1)) (not (= (tptp.aDimensionOf0 W1) tptp.sz00))) (= (tptp.aDimensionOf0 (tptp.sziznziztdt0 W0)) (tptp.aDimensionOf0 (tptp.sziznziztdt0 W1)))))))
% 0.38/0.55 (assume a33 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aVector0 W0) (tptp.aVector0 W1)) (=> (= (tptp.aDimensionOf0 W0) (tptp.aDimensionOf0 W1)) (tptp.aScalar0 (tptp.sdtasasdt0 W0 W1))))))
% 0.38/0.55 (assume a34 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aVector0 W0) (tptp.aVector0 W1)) (=> (and (= (tptp.aDimensionOf0 W0) (tptp.aDimensionOf0 W1)) (= (tptp.aDimensionOf0 W1) tptp.sz00)) (= (tptp.sdtasasdt0 W0 W1) tptp.sz0z00)))))
% 0.38/0.55 (assume a35 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aVector0 W0) (tptp.aVector0 W1)) (=> (and (= (tptp.aDimensionOf0 W0) (tptp.aDimensionOf0 W1)) (not (= (tptp.aDimensionOf0 W1) tptp.sz00))) (= (tptp.sdtasasdt0 W0 W1) (tptp.sdtpldt0 (tptp.sdtasasdt0 (tptp.sziznziztdt0 W0) (tptp.sziznziztdt0 W1)) (tptp.sdtasdt0 (tptp.sdtlbdtrb0 W0 (tptp.aDimensionOf0 W0)) (tptp.sdtlbdtrb0 W1 (tptp.aDimensionOf0 W1)))))))))
% 0.38/0.55 (assume a36 (tptp.aVector0 tptp.xs))
% 0.38/0.55 (assume a37 (forall ((W0 $$unsorted)) (=> (tptp.aVector0 W0) (=> (tptp.iLess0 (tptp.aDimensionOf0 W0) (tptp.aDimensionOf0 tptp.xs)) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 W0 W0))))))
% 0.38/0.55 (assume a38 (not (=> (=> (not (= (tptp.aDimensionOf0 tptp.xs) tptp.sz00)) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))))
% 0.38/0.55 (assume a39 true)
% 0.38/0.55 (step t1 (cl (not (= (or (not (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) (not (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00)) (not (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) (or (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)) (not (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00)) (not (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))))) (not (or (not (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) (not (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00)) (not (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))))) (or (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)) (not (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00)) (not (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))))) :rule equiv_pos2)
% 0.38/0.55 (step t2 (cl (= (= (= (not (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) true) (= (not (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))))) :rule equiv_simplify)
% 0.38/0.55 (step t3 (cl (not (= (= (not (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) true)) (= (not (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) :rule equiv1 :premises (t2))
% 0.38/0.55 (step t4 (cl (= (= (not (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) (= (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)) (not (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))))))) :rule all_simplify)
% 0.38/0.55 (step t5 (cl (= (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) :rule refl)
% 0.38/0.55 (step t6 (cl (= (not (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) :rule all_simplify)
% 0.38/0.55 (step t7 (cl (= (= (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)) (not (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))))) (= (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))))) :rule cong :premises (t5 t6))
% 0.38/0.55 (step t8 (cl (= (= (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) true)) :rule all_simplify)
% 0.38/0.55 (step t9 (cl (= (= (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)) (not (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))))) true)) :rule trans :premises (t7 t8))
% 0.38/0.55 (step t10 (cl (= (= (not (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) true)) :rule trans :premises (t4 t9))
% 0.38/0.55 (step t11 (cl (= (not (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) :rule resolution :premises (t3 t10))
% 0.38/0.55 (step t12 (cl (= (not (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00)) (not (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00)))) :rule refl)
% 0.38/0.55 (step t13 (cl (= (not (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) (not (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))))) :rule refl)
% 0.38/0.55 (step t14 (cl (= (or (not (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) (not (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00)) (not (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) (or (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)) (not (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00)) (not (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))))) :rule cong :premises (t11 t12 t13))
% 0.38/0.55 (step t15 (cl (not (= (=> (and (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) (and (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)) (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))))) (not (and (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))))) (not (=> (and (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) (and (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)) (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))))) (not (and (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))))) :rule equiv_pos2)
% 0.38/0.55 (step t16 (cl (= (and (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) (and (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))))) :rule refl)
% 0.38/0.55 (step t17 (cl (= (= (and (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)) (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) false) (not (and (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)) (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))))))) :rule equiv_simplify)
% 0.38/0.55 (step t18 (cl (= (and (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)) (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) false) (not (not (and (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)) (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))))))) :rule equiv2 :premises (t17))
% 0.38/0.55 (step t19 (cl (not (not (not (and (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)) (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))))))) (and (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)) (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))))) :rule not_not)
% 0.38/0.55 (step t20 (cl (= (and (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)) (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) false) (and (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)) (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))))) :rule resolution :premises (t18 t19))
% 0.38/0.55 (step t21 (cl (=> (and (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)) (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) false) (and (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)) (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))))) :rule implies_neg1)
% 0.38/0.55 (anchor :step t22)
% 0.38/0.55 (assume t22.a0 (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00))
% 0.38/0.55 (assume t22.a1 (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))
% 0.38/0.55 (assume t22.a2 (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))))
% 0.38/0.55 (step t22.t1 (cl (not (= (= false true) false)) (not (= false true)) false) :rule equiv_pos2)
% 0.38/0.55 (step t22.t2 (cl (= (= false true) false)) :rule all_simplify)
% 0.38/0.55 (step t22.t3 (cl (= (= (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)) false) (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))))) :rule equiv_simplify)
% 0.38/0.55 (step t22.t4 (cl (= (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)) false) (not (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))))) :rule equiv2 :premises (t22.t3))
% 0.38/0.55 (step t22.t5 (cl (not (not (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))))) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) :rule not_not)
% 0.38/0.55 (step t22.t6 (cl (= (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)) false) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) :rule resolution :premises (t22.t4 t22.t5))
% 0.38/0.55 (step t22.t7 (cl (= (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)) false)) :rule resolution :premises (t22.t6 t22.a2))
% 0.38/0.55 (step t22.t8 (cl (= false (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) :rule symm :premises (t22.t7))
% 0.38/0.55 (step t22.t9 (cl (= tptp.sz0z00 tptp.sz0z00)) :rule refl)
% 0.38/0.55 (step t22.t10 (cl (= (tptp.sdtasasdt0 tptp.xs tptp.xs) tptp.sz0z00)) :rule symm :premises (t22.a1))
% 0.38/0.55 (step t22.t11 (cl (= (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)) (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00))) :rule cong :premises (t22.t9 t22.t10))
% 0.38/0.55 (step t22.t12 (cl (= (= (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) true) (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00))) :rule equiv_simplify)
% 0.38/0.55 (step t22.t13 (cl (= (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) true) (not (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00))) :rule equiv2 :premises (t22.t12))
% 0.38/0.55 (step t22.t14 (cl (= (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) true)) :rule resolution :premises (t22.t13 t22.a0))
% 0.38/0.55 (step t22.t15 (cl (= false true)) :rule trans :premises (t22.t8 t22.t11 t22.t14))
% 0.38/0.55 (step t22.t16 (cl false) :rule resolution :premises (t22.t1 t22.t2 t22.t15))
% 0.38/0.55 (step t22 (cl (not (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00)) (not (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) (not (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) false) :rule subproof :discharge (t22.a0 t22.a1 t22.a2))
% 0.38/0.55 (step t23 (cl (not (and (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)) (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))))) (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00)) :rule and_pos)
% 0.38/0.55 (step t24 (cl (not (and (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)) (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))))) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) :rule and_pos)
% 0.38/0.55 (step t25 (cl (not (and (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)) (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))))) (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) :rule and_pos)
% 0.38/0.55 (step t26 (cl false (not (and (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)) (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))))) (not (and (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)) (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))))) (not (and (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)) (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))))) :rule resolution :premises (t22 t23 t24 t25))
% 0.38/0.55 (step t27 (cl (not (and (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)) (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))))) (not (and (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)) (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))))) (not (and (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)) (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))))) false) :rule reordering :premises (t26))
% 0.38/0.55 (step t28 (cl (not (and (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)) (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))))) false) :rule contraction :premises (t27))
% 0.38/0.55 (step t29 (cl (=> (and (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)) (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) false) false) :rule resolution :premises (t21 t28))
% 0.38/0.55 (step t30 (cl (=> (and (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)) (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) false) (not false)) :rule implies_neg2)
% 0.38/0.55 (step t31 (cl (=> (and (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)) (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) false) (=> (and (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)) (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) false)) :rule resolution :premises (t29 t30))
% 0.38/0.55 (step t32 (cl (=> (and (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)) (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) false)) :rule contraction :premises (t31))
% 0.38/0.55 (step t33 (cl (= (=> (and (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)) (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) false) (not (and (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)) (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))))))) :rule implies_simplify)
% 0.38/0.55 (step t34 (cl (not (=> (and (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)) (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) false)) (not (and (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)) (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))))) :rule equiv1 :premises (t33))
% 0.38/0.55 (step t35 (cl (not (and (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)) (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))))) :rule resolution :premises (t32 t34))
% 0.38/0.55 (step t36 (cl (= (and (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)) (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) false)) :rule resolution :premises (t20 t35))
% 0.38/0.55 (step t37 (cl (= (=> (and (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) (and (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)) (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))))) (=> (and (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) false))) :rule cong :premises (t16 t36))
% 0.38/0.55 (step t38 (cl (= (=> (and (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) false) (not (and (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))))) :rule all_simplify)
% 0.38/0.55 (step t39 (cl (= (=> (and (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) (and (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)) (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))))) (not (and (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))))) :rule trans :premises (t37 t38))
% 0.38/0.55 (step t40 (cl (=> (and (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) (and (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)) (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))))) (and (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) :rule implies_neg1)
% 0.38/0.55 (anchor :step t41)
% 0.38/0.55 (assume t41.a0 (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))))
% 0.38/0.55 (assume t41.a1 (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00))
% 0.38/0.55 (assume t41.a2 (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))
% 0.38/0.55 (step t41.t1 (cl (and (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)) (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) (not (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00)) (not (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) (not (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))))) :rule and_neg)
% 0.38/0.55 (step t41.t2 (cl (and (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)) (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))))) :rule resolution :premises (t41.t1 t41.a1 t41.a2 t41.a0))
% 0.38/0.55 (step t41 (cl (not (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) (not (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00)) (not (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) (and (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)) (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))))) :rule subproof :discharge (t41.a0 t41.a1 t41.a2))
% 0.38/0.55 (step t42 (cl (not (and (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) :rule and_pos)
% 0.38/0.55 (step t43 (cl (not (and (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00)) :rule and_pos)
% 0.38/0.55 (step t44 (cl (not (and (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) :rule and_pos)
% 0.38/0.55 (step t45 (cl (and (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)) (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) (not (and (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) (not (and (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) (not (and (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))))) :rule resolution :premises (t41 t42 t43 t44))
% 0.38/0.55 (step t46 (cl (not (and (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) (not (and (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) (not (and (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) (and (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)) (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))))) :rule reordering :premises (t45))
% 0.38/0.55 (step t47 (cl (not (and (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) (and (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)) (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))))) :rule contraction :premises (t46))
% 0.38/0.55 (step t48 (cl (=> (and (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) (and (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)) (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))))) (and (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)) (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))))) :rule resolution :premises (t40 t47))
% 0.38/0.55 (step t49 (cl (=> (and (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) (and (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)) (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))))) (not (and (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)) (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))))) :rule implies_neg2)
% 0.38/0.55 (step t50 (cl (=> (and (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) (and (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)) (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))))) (=> (and (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) (and (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)) (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))))) :rule resolution :premises (t48 t49))
% 0.38/0.55 (step t51 (cl (=> (and (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) (and (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)) (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))))) :rule contraction :premises (t50))
% 0.38/0.55 (step t52 (cl (not (and (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))))) :rule resolution :premises (t15 t39 t51))
% 0.38/0.55 (step t53 (cl (not (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) (not (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00)) (not (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) :rule not_and :premises (t52))
% 0.38/0.55 (step t54 (cl (or (not (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) (not (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00)) (not (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) (not (not (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))))) :rule or_neg)
% 0.38/0.55 (step t55 (cl (or (not (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) (not (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00)) (not (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) (not (not (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00)))) :rule or_neg)
% 0.38/0.55 (step t56 (cl (or (not (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) (not (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00)) (not (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) (not (not (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))))) :rule or_neg)
% 0.38/0.55 (step t57 (cl (or (not (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) (not (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00)) (not (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) (or (not (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) (not (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00)) (not (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) (or (not (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) (not (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00)) (not (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))))) :rule resolution :premises (t53 t54 t55 t56))
% 0.38/0.55 (step t58 (cl (or (not (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) (not (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00)) (not (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))))) :rule contraction :premises (t57))
% 0.38/0.55 (step t59 (cl (or (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)) (not (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00)) (not (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))))) :rule resolution :premises (t1 t14 t58))
% 0.38/0.55 (step t60 (cl (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)) (not (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00)) (not (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) :rule or :premises (t59))
% 0.38/0.55 (step t61 (cl (not (or (not (tptp.aVector0 tptp.xs)) (not (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs))) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) (not (tptp.aVector0 tptp.xs)) (not (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs))) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) :rule or_pos)
% 0.38/0.55 (step t62 (cl (not (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs))) (not (tptp.aVector0 tptp.xs)) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)) (not (or (not (tptp.aVector0 tptp.xs)) (not (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs))) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))))) :rule reordering :premises (t61))
% 0.38/0.55 (step t63 (cl (not (= (or (not (not (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs)))) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) (or (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs)) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))))) (not (or (not (not (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs)))) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) (or (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs)) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) :rule equiv_pos2)
% 0.38/0.55 (step t64 (cl (= (= (= (not (not (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs)))) (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs))) true) (= (not (not (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs)))) (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs))))) :rule equiv_simplify)
% 0.38/0.55 (step t65 (cl (not (= (= (not (not (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs)))) (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs))) true)) (= (not (not (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs)))) (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs)))) :rule equiv1 :premises (t64))
% 0.38/0.55 (step t66 (cl (= (= (not (not (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs)))) (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs))) (= (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs)) (not (not (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs))))))) :rule all_simplify)
% 0.38/0.55 (step t67 (cl (= (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs)) (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs)))) :rule refl)
% 0.38/0.55 (step t68 (cl (= (not (not (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs)))) (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs)))) :rule all_simplify)
% 0.38/0.55 (step t69 (cl (= (= (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs)) (not (not (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs))))) (= (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs)) (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs))))) :rule cong :premises (t67 t68))
% 0.38/0.55 (step t70 (cl (= (= (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs)) (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs))) true)) :rule all_simplify)
% 0.38/0.55 (step t71 (cl (= (= (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs)) (not (not (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs))))) true)) :rule trans :premises (t69 t70))
% 0.38/0.55 (step t72 (cl (= (= (not (not (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs)))) (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs))) true)) :rule trans :premises (t66 t71))
% 0.38/0.55 (step t73 (cl (= (not (not (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs)))) (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs)))) :rule resolution :premises (t65 t72))
% 0.38/0.55 (step t74 (cl (= (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) :rule refl)
% 0.38/0.55 (step t75 (cl (= (or (not (not (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs)))) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) (or (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs)) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))))) :rule cong :premises (t73 t74))
% 0.38/0.55 (step t76 (cl (not (= (not (=> (=> (not (= (tptp.aDimensionOf0 tptp.xs) tptp.sz00)) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) (not (=> (=> (not (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs))) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))))) (not (not (=> (=> (not (= (tptp.aDimensionOf0 tptp.xs) tptp.sz00)) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))))) (not (=> (=> (not (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs))) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))))) :rule equiv_pos2)
% 0.38/0.55 (step t77 (cl (= (= (tptp.aDimensionOf0 tptp.xs) tptp.sz00) (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs)))) :rule all_simplify)
% 0.38/0.55 (step t78 (cl (= (not (= (tptp.aDimensionOf0 tptp.xs) tptp.sz00)) (not (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs))))) :rule cong :premises (t77))
% 0.38/0.55 (step t79 (cl (= (=> (not (= (tptp.aDimensionOf0 tptp.xs) tptp.sz00)) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) (=> (not (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs))) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))))) :rule cong :premises (t78 t5))
% 0.38/0.55 (step t80 (cl (= (=> (=> (not (= (tptp.aDimensionOf0 tptp.xs) tptp.sz00)) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) (=> (=> (not (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs))) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))))) :rule cong :premises (t79 t5))
% 0.38/0.55 (step t81 (cl (= (not (=> (=> (not (= (tptp.aDimensionOf0 tptp.xs) tptp.sz00)) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) (not (=> (=> (not (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs))) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))))) :rule cong :premises (t80))
% 0.38/0.55 (step t82 (cl (not (=> (=> (not (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs))) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))))) :rule resolution :premises (t76 t81 a38))
% 0.38/0.55 (step t83 (cl (=> (not (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs))) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) :rule not_implies1 :premises (t82))
% 0.38/0.55 (step t84 (cl (not (not (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs)))) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) :rule implies :premises (t83))
% 0.38/0.55 (step t85 (cl (or (not (not (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs)))) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) (not (not (not (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs)))))) :rule or_neg)
% 0.38/0.55 (step t86 (cl (or (not (not (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs)))) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) :rule or_neg)
% 0.38/0.55 (step t87 (cl (or (not (not (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs)))) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) (or (not (not (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs)))) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) :rule resolution :premises (t84 t85 t86))
% 0.38/0.55 (step t88 (cl (or (not (not (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs)))) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) :rule contraction :premises (t87))
% 0.38/0.55 (step t89 (cl (or (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs)) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) :rule resolution :premises (t63 t75 t88))
% 0.38/0.55 (step t90 (cl (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs)) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) :rule or :premises (t89))
% 0.38/0.55 (step t91 (cl (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)) (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs))) :rule reordering :premises (t90))
% 0.38/0.55 (step t92 (cl (not (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) :rule not_implies2 :premises (t82))
% 0.38/0.55 (step t93 (cl (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs))) :rule resolution :premises (t91 t92))
% 0.38/0.55 (step t94 (cl (not (= (=> (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aVector0 W0)) (not (tptp.aVector0 W1)) (not (= (tptp.aDimensionOf0 W1) (tptp.aDimensionOf0 W0))) (not (= tptp.sz00 (tptp.aDimensionOf0 W1))) (= tptp.sz0z00 (tptp.sdtasasdt0 W0 W1)))) (or (not (tptp.aVector0 tptp.xs)) (not (tptp.aVector0 tptp.xs)) (not (= (tptp.aDimensionOf0 tptp.xs) (tptp.aDimensionOf0 tptp.xs))) (not (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs))) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) (=> (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aVector0 W0)) (not (tptp.aVector0 W1)) (not (= (tptp.aDimensionOf0 W1) (tptp.aDimensionOf0 W0))) (not (= tptp.sz00 (tptp.aDimensionOf0 W1))) (= tptp.sz0z00 (tptp.sdtasasdt0 W0 W1)))) (or (not (tptp.aVector0 tptp.xs)) (not (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs))) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))))) (not (=> (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aVector0 W0)) (not (tptp.aVector0 W1)) (not (= (tptp.aDimensionOf0 W1) (tptp.aDimensionOf0 W0))) (not (= tptp.sz00 (tptp.aDimensionOf0 W1))) (= tptp.sz0z00 (tptp.sdtasasdt0 W0 W1)))) (or (not (tptp.aVector0 tptp.xs)) (not (tptp.aVector0 tptp.xs)) (not (= (tptp.aDimensionOf0 tptp.xs) (tptp.aDimensionOf0 tptp.xs))) (not (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs))) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))))) (=> (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aVector0 W0)) (not (tptp.aVector0 W1)) (not (= (tptp.aDimensionOf0 W1) (tptp.aDimensionOf0 W0))) (not (= tptp.sz00 (tptp.aDimensionOf0 W1))) (= tptp.sz0z00 (tptp.sdtasasdt0 W0 W1)))) (or (not (tptp.aVector0 tptp.xs)) (not (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs))) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))))) :rule equiv_pos2)
% 0.38/0.55 (step t95 (cl (= (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aVector0 W0)) (not (tptp.aVector0 W1)) (not (= (tptp.aDimensionOf0 W1) (tptp.aDimensionOf0 W0))) (not (= tptp.sz00 (tptp.aDimensionOf0 W1))) (= tptp.sz0z00 (tptp.sdtasasdt0 W0 W1)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aVector0 W0)) (not (tptp.aVector0 W1)) (not (= (tptp.aDimensionOf0 W1) (tptp.aDimensionOf0 W0))) (not (= tptp.sz00 (tptp.aDimensionOf0 W1))) (= tptp.sz0z00 (tptp.sdtasasdt0 W0 W1)))))) :rule refl)
% 0.38/0.55 (step t96 (cl (= (not (tptp.aVector0 tptp.xs)) (not (tptp.aVector0 tptp.xs)))) :rule refl)
% 0.38/0.55 (step t97 (cl (= (= (tptp.aDimensionOf0 tptp.xs) (tptp.aDimensionOf0 tptp.xs)) true)) :rule all_simplify)
% 0.38/0.55 (step t98 (cl (= (not (= (tptp.aDimensionOf0 tptp.xs) (tptp.aDimensionOf0 tptp.xs))) (not true))) :rule cong :premises (t97))
% 0.38/0.55 (step t99 (cl (= (not true) false)) :rule all_simplify)
% 0.38/0.55 (step t100 (cl (= (not (= (tptp.aDimensionOf0 tptp.xs) (tptp.aDimensionOf0 tptp.xs))) false)) :rule trans :premises (t98 t99))
% 0.38/0.55 (step t101 (cl (= (not (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs))) (not (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs))))) :rule refl)
% 0.38/0.55 (step t102 (cl (= (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) :rule refl)
% 0.38/0.55 (step t103 (cl (= (or (not (tptp.aVector0 tptp.xs)) (not (tptp.aVector0 tptp.xs)) (not (= (tptp.aDimensionOf0 tptp.xs) (tptp.aDimensionOf0 tptp.xs))) (not (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs))) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) (or (not (tptp.aVector0 tptp.xs)) (not (tptp.aVector0 tptp.xs)) false (not (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs))) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))))) :rule cong :premises (t96 t96 t100 t101 t102))
% 0.38/0.55 (step t104 (cl (= (or (not (tptp.aVector0 tptp.xs)) (not (tptp.aVector0 tptp.xs)) false (not (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs))) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) (or (not (tptp.aVector0 tptp.xs)) (not (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs))) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))))) :rule all_simplify)
% 0.38/0.55 (step t105 (cl (= (or (not (tptp.aVector0 tptp.xs)) (not (tptp.aVector0 tptp.xs)) (not (= (tptp.aDimensionOf0 tptp.xs) (tptp.aDimensionOf0 tptp.xs))) (not (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs))) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) (or (not (tptp.aVector0 tptp.xs)) (not (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs))) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))))) :rule trans :premises (t103 t104))
% 0.38/0.55 (step t106 (cl (= (=> (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aVector0 W0)) (not (tptp.aVector0 W1)) (not (= (tptp.aDimensionOf0 W1) (tptp.aDimensionOf0 W0))) (not (= tptp.sz00 (tptp.aDimensionOf0 W1))) (= tptp.sz0z00 (tptp.sdtasasdt0 W0 W1)))) (or (not (tptp.aVector0 tptp.xs)) (not (tptp.aVector0 tptp.xs)) (not (= (tptp.aDimensionOf0 tptp.xs) (tptp.aDimensionOf0 tptp.xs))) (not (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs))) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) (=> (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aVector0 W0)) (not (tptp.aVector0 W1)) (not (= (tptp.aDimensionOf0 W1) (tptp.aDimensionOf0 W0))) (not (= tptp.sz00 (tptp.aDimensionOf0 W1))) (= tptp.sz0z00 (tptp.sdtasasdt0 W0 W1)))) (or (not (tptp.aVector0 tptp.xs)) (not (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs))) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))))) :rule cong :premises (t95 t105))
% 0.38/0.55 (step t107 (cl (=> (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aVector0 W0)) (not (tptp.aVector0 W1)) (not (= (tptp.aDimensionOf0 W1) (tptp.aDimensionOf0 W0))) (not (= tptp.sz00 (tptp.aDimensionOf0 W1))) (= tptp.sz0z00 (tptp.sdtasasdt0 W0 W1)))) (or (not (tptp.aVector0 tptp.xs)) (not (tptp.aVector0 tptp.xs)) (not (= (tptp.aDimensionOf0 tptp.xs) (tptp.aDimensionOf0 tptp.xs))) (not (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs))) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aVector0 W0)) (not (tptp.aVector0 W1)) (not (= (tptp.aDimensionOf0 W1) (tptp.aDimensionOf0 W0))) (not (= tptp.sz00 (tptp.aDimensionOf0 W1))) (= tptp.sz0z00 (tptp.sdtasasdt0 W0 W1))))) :rule implies_neg1)
% 0.38/0.55 (anchor :step t108)
% 0.38/0.55 (assume t108.a0 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aVector0 W0)) (not (tptp.aVector0 W1)) (not (= (tptp.aDimensionOf0 W1) (tptp.aDimensionOf0 W0))) (not (= tptp.sz00 (tptp.aDimensionOf0 W1))) (= tptp.sz0z00 (tptp.sdtasasdt0 W0 W1)))))
% 0.38/0.55 (step t108.t1 (cl (or (not (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aVector0 W0)) (not (tptp.aVector0 W1)) (not (= (tptp.aDimensionOf0 W1) (tptp.aDimensionOf0 W0))) (not (= tptp.sz00 (tptp.aDimensionOf0 W1))) (= tptp.sz0z00 (tptp.sdtasasdt0 W0 W1))))) (or (not (tptp.aVector0 tptp.xs)) (not (tptp.aVector0 tptp.xs)) (not (= (tptp.aDimensionOf0 tptp.xs) (tptp.aDimensionOf0 tptp.xs))) (not (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs))) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))))) :rule forall_inst :args ((:= W0 tptp.xs) (:= W1 tptp.xs)))
% 0.38/0.55 (step t108.t2 (cl (not (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aVector0 W0)) (not (tptp.aVector0 W1)) (not (= (tptp.aDimensionOf0 W1) (tptp.aDimensionOf0 W0))) (not (= tptp.sz00 (tptp.aDimensionOf0 W1))) (= tptp.sz0z00 (tptp.sdtasasdt0 W0 W1))))) (or (not (tptp.aVector0 tptp.xs)) (not (tptp.aVector0 tptp.xs)) (not (= (tptp.aDimensionOf0 tptp.xs) (tptp.aDimensionOf0 tptp.xs))) (not (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs))) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) :rule or :premises (t108.t1))
% 0.38/0.55 (step t108.t3 (cl (or (not (tptp.aVector0 tptp.xs)) (not (tptp.aVector0 tptp.xs)) (not (= (tptp.aDimensionOf0 tptp.xs) (tptp.aDimensionOf0 tptp.xs))) (not (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs))) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) :rule resolution :premises (t108.t2 t108.a0))
% 0.38/0.55 (step t108 (cl (not (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aVector0 W0)) (not (tptp.aVector0 W1)) (not (= (tptp.aDimensionOf0 W1) (tptp.aDimensionOf0 W0))) (not (= tptp.sz00 (tptp.aDimensionOf0 W1))) (= tptp.sz0z00 (tptp.sdtasasdt0 W0 W1))))) (or (not (tptp.aVector0 tptp.xs)) (not (tptp.aVector0 tptp.xs)) (not (= (tptp.aDimensionOf0 tptp.xs) (tptp.aDimensionOf0 tptp.xs))) (not (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs))) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) :rule subproof :discharge (t108.a0))
% 0.38/0.55 (step t109 (cl (=> (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aVector0 W0)) (not (tptp.aVector0 W1)) (not (= (tptp.aDimensionOf0 W1) (tptp.aDimensionOf0 W0))) (not (= tptp.sz00 (tptp.aDimensionOf0 W1))) (= tptp.sz0z00 (tptp.sdtasasdt0 W0 W1)))) (or (not (tptp.aVector0 tptp.xs)) (not (tptp.aVector0 tptp.xs)) (not (= (tptp.aDimensionOf0 tptp.xs) (tptp.aDimensionOf0 tptp.xs))) (not (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs))) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) (or (not (tptp.aVector0 tptp.xs)) (not (tptp.aVector0 tptp.xs)) (not (= (tptp.aDimensionOf0 tptp.xs) (tptp.aDimensionOf0 tptp.xs))) (not (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs))) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) :rule resolution :premises (t107 t108))
% 0.38/0.55 (step t110 (cl (=> (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aVector0 W0)) (not (tptp.aVector0 W1)) (not (= (tptp.aDimensionOf0 W1) (tptp.aDimensionOf0 W0))) (not (= tptp.sz00 (tptp.aDimensionOf0 W1))) (= tptp.sz0z00 (tptp.sdtasasdt0 W0 W1)))) (or (not (tptp.aVector0 tptp.xs)) (not (tptp.aVector0 tptp.xs)) (not (= (tptp.aDimensionOf0 tptp.xs) (tptp.aDimensionOf0 tptp.xs))) (not (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs))) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) (not (or (not (tptp.aVector0 tptp.xs)) (not (tptp.aVector0 tptp.xs)) (not (= (tptp.aDimensionOf0 tptp.xs) (tptp.aDimensionOf0 tptp.xs))) (not (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs))) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))))) :rule implies_neg2)
% 0.38/0.55 (step t111 (cl (=> (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aVector0 W0)) (not (tptp.aVector0 W1)) (not (= (tptp.aDimensionOf0 W1) (tptp.aDimensionOf0 W0))) (not (= tptp.sz00 (tptp.aDimensionOf0 W1))) (= tptp.sz0z00 (tptp.sdtasasdt0 W0 W1)))) (or (not (tptp.aVector0 tptp.xs)) (not (tptp.aVector0 tptp.xs)) (not (= (tptp.aDimensionOf0 tptp.xs) (tptp.aDimensionOf0 tptp.xs))) (not (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs))) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) (=> (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aVector0 W0)) (not (tptp.aVector0 W1)) (not (= (tptp.aDimensionOf0 W1) (tptp.aDimensionOf0 W0))) (not (= tptp.sz00 (tptp.aDimensionOf0 W1))) (= tptp.sz0z00 (tptp.sdtasasdt0 W0 W1)))) (or (not (tptp.aVector0 tptp.xs)) (not (tptp.aVector0 tptp.xs)) (not (= (tptp.aDimensionOf0 tptp.xs) (tptp.aDimensionOf0 tptp.xs))) (not (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs))) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))))) :rule resolution :premises (t109 t110))
% 0.38/0.55 (step t112 (cl (=> (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aVector0 W0)) (not (tptp.aVector0 W1)) (not (= (tptp.aDimensionOf0 W1) (tptp.aDimensionOf0 W0))) (not (= tptp.sz00 (tptp.aDimensionOf0 W1))) (= tptp.sz0z00 (tptp.sdtasasdt0 W0 W1)))) (or (not (tptp.aVector0 tptp.xs)) (not (tptp.aVector0 tptp.xs)) (not (= (tptp.aDimensionOf0 tptp.xs) (tptp.aDimensionOf0 tptp.xs))) (not (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs))) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))))) :rule contraction :premises (t111))
% 0.38/0.55 (step t113 (cl (=> (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aVector0 W0)) (not (tptp.aVector0 W1)) (not (= (tptp.aDimensionOf0 W1) (tptp.aDimensionOf0 W0))) (not (= tptp.sz00 (tptp.aDimensionOf0 W1))) (= tptp.sz0z00 (tptp.sdtasasdt0 W0 W1)))) (or (not (tptp.aVector0 tptp.xs)) (not (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs))) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))))) :rule resolution :premises (t94 t106 t112))
% 0.38/0.55 (step t114 (cl (not (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aVector0 W0)) (not (tptp.aVector0 W1)) (not (= (tptp.aDimensionOf0 W1) (tptp.aDimensionOf0 W0))) (not (= tptp.sz00 (tptp.aDimensionOf0 W1))) (= tptp.sz0z00 (tptp.sdtasasdt0 W0 W1))))) (or (not (tptp.aVector0 tptp.xs)) (not (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs))) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) :rule implies :premises (t113))
% 0.38/0.55 (step t115 (cl (not (= (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aVector0 W0) (tptp.aVector0 W1)) (=> (and (= (tptp.aDimensionOf0 W0) (tptp.aDimensionOf0 W1)) (= (tptp.aDimensionOf0 W1) tptp.sz00)) (= (tptp.sdtasasdt0 W0 W1) tptp.sz0z00)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aVector0 W0)) (not (tptp.aVector0 W1)) (not (= (tptp.aDimensionOf0 W1) (tptp.aDimensionOf0 W0))) (not (= tptp.sz00 (tptp.aDimensionOf0 W1))) (= tptp.sz0z00 (tptp.sdtasasdt0 W0 W1)))))) (not (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aVector0 W0) (tptp.aVector0 W1)) (=> (and (= (tptp.aDimensionOf0 W0) (tptp.aDimensionOf0 W1)) (= (tptp.aDimensionOf0 W1) tptp.sz00)) (= (tptp.sdtasasdt0 W0 W1) tptp.sz0z00))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aVector0 W0)) (not (tptp.aVector0 W1)) (not (= (tptp.aDimensionOf0 W1) (tptp.aDimensionOf0 W0))) (not (= tptp.sz00 (tptp.aDimensionOf0 W1))) (= tptp.sz0z00 (tptp.sdtasasdt0 W0 W1))))) :rule equiv_pos2)
% 0.38/0.55 (anchor :step t116 :args ((W0 $$unsorted) (:= W0 W0) (W1 $$unsorted) (:= W1 W1)))
% 0.38/0.55 (step t116.t1 (cl (= W0 W0)) :rule refl)
% 0.38/0.55 (step t116.t2 (cl (= W1 W1)) :rule refl)
% 0.38/0.55 (step t116.t3 (cl (= (and (tptp.aVector0 W0) (tptp.aVector0 W1)) (and (tptp.aVector0 W0) (tptp.aVector0 W1)))) :rule refl)
% 0.38/0.55 (step t116.t4 (cl (= (= (tptp.aDimensionOf0 W0) (tptp.aDimensionOf0 W1)) (= (tptp.aDimensionOf0 W1) (tptp.aDimensionOf0 W0)))) :rule all_simplify)
% 0.38/0.55 (step t116.t5 (cl (= (= (tptp.aDimensionOf0 W1) tptp.sz00) (= tptp.sz00 (tptp.aDimensionOf0 W1)))) :rule all_simplify)
% 0.38/0.55 (step t116.t6 (cl (= (and (= (tptp.aDimensionOf0 W0) (tptp.aDimensionOf0 W1)) (= (tptp.aDimensionOf0 W1) tptp.sz00)) (and (= (tptp.aDimensionOf0 W1) (tptp.aDimensionOf0 W0)) (= tptp.sz00 (tptp.aDimensionOf0 W1))))) :rule cong :premises (t116.t4 t116.t5))
% 0.38/0.55 (step t116.t7 (cl (= (= (tptp.sdtasasdt0 W0 W1) tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasasdt0 W0 W1)))) :rule all_simplify)
% 0.38/0.55 (step t116.t8 (cl (= (=> (and (= (tptp.aDimensionOf0 W0) (tptp.aDimensionOf0 W1)) (= (tptp.aDimensionOf0 W1) tptp.sz00)) (= (tptp.sdtasasdt0 W0 W1) tptp.sz0z00)) (=> (and (= (tptp.aDimensionOf0 W1) (tptp.aDimensionOf0 W0)) (= tptp.sz00 (tptp.aDimensionOf0 W1))) (= tptp.sz0z00 (tptp.sdtasasdt0 W0 W1))))) :rule cong :premises (t116.t6 t116.t7))
% 0.38/0.55 (step t116.t9 (cl (= (=> (and (tptp.aVector0 W0) (tptp.aVector0 W1)) (=> (and (= (tptp.aDimensionOf0 W0) (tptp.aDimensionOf0 W1)) (= (tptp.aDimensionOf0 W1) tptp.sz00)) (= (tptp.sdtasasdt0 W0 W1) tptp.sz0z00))) (=> (and (tptp.aVector0 W0) (tptp.aVector0 W1)) (=> (and (= (tptp.aDimensionOf0 W1) (tptp.aDimensionOf0 W0)) (= tptp.sz00 (tptp.aDimensionOf0 W1))) (= tptp.sz0z00 (tptp.sdtasasdt0 W0 W1)))))) :rule cong :premises (t116.t3 t116.t8))
% 0.38/0.55 (step t116 (cl (= (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aVector0 W0) (tptp.aVector0 W1)) (=> (and (= (tptp.aDimensionOf0 W0) (tptp.aDimensionOf0 W1)) (= (tptp.aDimensionOf0 W1) tptp.sz00)) (= (tptp.sdtasasdt0 W0 W1) tptp.sz0z00)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aVector0 W0) (tptp.aVector0 W1)) (=> (and (= (tptp.aDimensionOf0 W1) (tptp.aDimensionOf0 W0)) (= tptp.sz00 (tptp.aDimensionOf0 W1))) (= tptp.sz0z00 (tptp.sdtasasdt0 W0 W1))))))) :rule bind)
% 0.38/0.55 (step t117 (cl (= (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aVector0 W0) (tptp.aVector0 W1)) (=> (and (= (tptp.aDimensionOf0 W1) (tptp.aDimensionOf0 W0)) (= tptp.sz00 (tptp.aDimensionOf0 W1))) (= tptp.sz0z00 (tptp.sdtasasdt0 W0 W1))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aVector0 W0)) (not (tptp.aVector0 W1)) (not (= (tptp.aDimensionOf0 W1) (tptp.aDimensionOf0 W0))) (not (= tptp.sz00 (tptp.aDimensionOf0 W1))) (= tptp.sz0z00 (tptp.sdtasasdt0 W0 W1)))))) :rule all_simplify)
% 0.38/0.55 (step t118 (cl (= (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aVector0 W0) (tptp.aVector0 W1)) (=> (and (= (tptp.aDimensionOf0 W0) (tptp.aDimensionOf0 W1)) (= (tptp.aDimensionOf0 W1) tptp.sz00)) (= (tptp.sdtasasdt0 W0 W1) tptp.sz0z00)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aVector0 W0)) (not (tptp.aVector0 W1)) (not (= (tptp.aDimensionOf0 W1) (tptp.aDimensionOf0 W0))) (not (= tptp.sz00 (tptp.aDimensionOf0 W1))) (= tptp.sz0z00 (tptp.sdtasasdt0 W0 W1)))))) :rule trans :premises (t116 t117))
% 0.38/0.55 (step t119 (cl (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aVector0 W0)) (not (tptp.aVector0 W1)) (not (= (tptp.aDimensionOf0 W1) (tptp.aDimensionOf0 W0))) (not (= tptp.sz00 (tptp.aDimensionOf0 W1))) (= tptp.sz0z00 (tptp.sdtasasdt0 W0 W1))))) :rule resolution :premises (t115 t118 a34))
% 0.38/0.55 (step t120 (cl (or (not (tptp.aVector0 tptp.xs)) (not (= tptp.sz00 (tptp.aDimensionOf0 tptp.xs))) (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs)))) :rule resolution :premises (t114 t119))
% 0.38/0.55 (step t121 (cl (= tptp.sz0z00 (tptp.sdtasasdt0 tptp.xs tptp.xs))) :rule resolution :premises (t62 t93 a36 t120))
% 0.38/0.55 (step t122 (cl (not (or (not (tptp.aScalar0 tptp.sz0z00)) (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00))) (not (tptp.aScalar0 tptp.sz0z00)) (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00)) :rule or_pos)
% 0.38/0.55 (step t123 (cl (not (tptp.aScalar0 tptp.sz0z00)) (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00) (not (or (not (tptp.aScalar0 tptp.sz0z00)) (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00)))) :rule reordering :premises (t122))
% 0.38/0.55 (step t124 (cl (=> (forall ((W0 $$unsorted)) (or (not (tptp.aScalar0 W0)) (tptp.sdtlseqdt0 W0 W0))) (or (not (tptp.aScalar0 tptp.sz0z00)) (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00))) (forall ((W0 $$unsorted)) (or (not (tptp.aScalar0 W0)) (tptp.sdtlseqdt0 W0 W0)))) :rule implies_neg1)
% 0.38/0.55 (anchor :step t125)
% 0.38/0.55 (assume t125.a0 (forall ((W0 $$unsorted)) (or (not (tptp.aScalar0 W0)) (tptp.sdtlseqdt0 W0 W0))))
% 0.38/0.55 (step t125.t1 (cl (or (not (forall ((W0 $$unsorted)) (or (not (tptp.aScalar0 W0)) (tptp.sdtlseqdt0 W0 W0)))) (or (not (tptp.aScalar0 tptp.sz0z00)) (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00)))) :rule forall_inst :args ((:= W0 tptp.sz0z00)))
% 0.38/0.55 (step t125.t2 (cl (not (forall ((W0 $$unsorted)) (or (not (tptp.aScalar0 W0)) (tptp.sdtlseqdt0 W0 W0)))) (or (not (tptp.aScalar0 tptp.sz0z00)) (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00))) :rule or :premises (t125.t1))
% 0.38/0.55 (step t125.t3 (cl (or (not (tptp.aScalar0 tptp.sz0z00)) (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00))) :rule resolution :premises (t125.t2 t125.a0))
% 0.38/0.55 (step t125 (cl (not (forall ((W0 $$unsorted)) (or (not (tptp.aScalar0 W0)) (tptp.sdtlseqdt0 W0 W0)))) (or (not (tptp.aScalar0 tptp.sz0z00)) (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00))) :rule subproof :discharge (t125.a0))
% 0.38/0.55 (step t126 (cl (=> (forall ((W0 $$unsorted)) (or (not (tptp.aScalar0 W0)) (tptp.sdtlseqdt0 W0 W0))) (or (not (tptp.aScalar0 tptp.sz0z00)) (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00))) (or (not (tptp.aScalar0 tptp.sz0z00)) (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00))) :rule resolution :premises (t124 t125))
% 0.38/0.55 (step t127 (cl (=> (forall ((W0 $$unsorted)) (or (not (tptp.aScalar0 W0)) (tptp.sdtlseqdt0 W0 W0))) (or (not (tptp.aScalar0 tptp.sz0z00)) (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00))) (not (or (not (tptp.aScalar0 tptp.sz0z00)) (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00)))) :rule implies_neg2)
% 0.38/0.55 (step t128 (cl (=> (forall ((W0 $$unsorted)) (or (not (tptp.aScalar0 W0)) (tptp.sdtlseqdt0 W0 W0))) (or (not (tptp.aScalar0 tptp.sz0z00)) (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00))) (=> (forall ((W0 $$unsorted)) (or (not (tptp.aScalar0 W0)) (tptp.sdtlseqdt0 W0 W0))) (or (not (tptp.aScalar0 tptp.sz0z00)) (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00)))) :rule resolution :premises (t126 t127))
% 0.38/0.55 (step t129 (cl (=> (forall ((W0 $$unsorted)) (or (not (tptp.aScalar0 W0)) (tptp.sdtlseqdt0 W0 W0))) (or (not (tptp.aScalar0 tptp.sz0z00)) (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00)))) :rule contraction :premises (t128))
% 0.38/0.55 (step t130 (cl (not (forall ((W0 $$unsorted)) (or (not (tptp.aScalar0 W0)) (tptp.sdtlseqdt0 W0 W0)))) (or (not (tptp.aScalar0 tptp.sz0z00)) (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00))) :rule implies :premises (t129))
% 0.38/0.55 (step t131 (cl (not (= (forall ((W0 $$unsorted)) (=> (tptp.aScalar0 W0) (tptp.sdtlseqdt0 W0 W0))) (forall ((W0 $$unsorted)) (or (not (tptp.aScalar0 W0)) (tptp.sdtlseqdt0 W0 W0))))) (not (forall ((W0 $$unsorted)) (=> (tptp.aScalar0 W0) (tptp.sdtlseqdt0 W0 W0)))) (forall ((W0 $$unsorted)) (or (not (tptp.aScalar0 W0)) (tptp.sdtlseqdt0 W0 W0)))) :rule equiv_pos2)
% 0.38/0.56 (step t132 (cl (= (forall ((W0 $$unsorted)) (=> (tptp.aScalar0 W0) (tptp.sdtlseqdt0 W0 W0))) (forall ((W0 $$unsorted)) (or (not (tptp.aScalar0 W0)) (tptp.sdtlseqdt0 W0 W0))))) :rule all_simplify)
% 0.38/0.56 (step t133 (cl (forall ((W0 $$unsorted)) (or (not (tptp.aScalar0 W0)) (tptp.sdtlseqdt0 W0 W0)))) :rule resolution :premises (t131 t132 a19))
% 0.38/0.56 (step t134 (cl (or (not (tptp.aScalar0 tptp.sz0z00)) (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00))) :rule resolution :premises (t130 t133))
% 0.38/0.56 (step t135 (cl (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00)) :rule resolution :premises (t123 a8 t134))
% 0.38/0.56 (step t136 (cl) :rule resolution :premises (t60 t121 t135 t92))
% 0.38/0.56
% 0.38/0.56 % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.bcl4gfjCGn/cvc5---1.0.5_32686.smt2
% 0.38/0.56 % cvc5---1.0.5 exiting
% 0.38/0.56 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------