TSTP Solution File: NUM482+3 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NUM482+3 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n004.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 17:33:40 EDT 2024
% Result : Theorem 0.44s 0.61s
% Output : Proof 0.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : NUM482+3 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon May 27 23:27:39 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.44/0.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.44/0.61 % SZS status Theorem for /export/starexec/sandbox2/tmp/tmp.4J1xSikmGA/cvc5---1.0.5_26884.smt2
% 0.44/0.61 % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.4J1xSikmGA/cvc5---1.0.5_26884.smt2
% 0.44/0.61 (assume a0 (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) true)))
% 0.44/0.61 (assume a1 (tptp.aNaturalNumber0 tptp.sz00))
% 0.44/0.61 (assume a2 (and (tptp.aNaturalNumber0 tptp.sz10) (not (= tptp.sz10 tptp.sz00))))
% 0.44/0.61 (assume a3 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (tptp.aNaturalNumber0 (tptp.sdtpldt0 W0 W1)))))
% 0.44/0.61 (assume a4 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (tptp.aNaturalNumber0 (tptp.sdtasdt0 W0 W1)))))
% 0.44/0.61 (assume a5 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (= (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W1 W0)))))
% 0.44/0.61 (assume a6 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (= (tptp.sdtpldt0 (tptp.sdtpldt0 W0 W1) W2) (tptp.sdtpldt0 W0 (tptp.sdtpldt0 W1 W2))))))
% 0.44/0.61 (assume a7 (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (and (= (tptp.sdtpldt0 W0 tptp.sz00) W0) (= W0 (tptp.sdtpldt0 tptp.sz00 W0))))))
% 0.44/0.61 (assume a8 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0)))))
% 0.44/0.61 (assume a9 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (= (tptp.sdtasdt0 (tptp.sdtasdt0 W0 W1) W2) (tptp.sdtasdt0 W0 (tptp.sdtasdt0 W1 W2))))))
% 0.44/0.61 (assume a10 (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (and (= (tptp.sdtasdt0 W0 tptp.sz10) W0) (= W0 (tptp.sdtasdt0 tptp.sz10 W0))))))
% 0.44/0.61 (assume a11 (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (and (= (tptp.sdtasdt0 W0 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 W0))))))
% 0.44/0.61 (assume a12 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (and (= (tptp.sdtasdt0 W0 (tptp.sdtpldt0 W1 W2)) (tptp.sdtpldt0 (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W0 W2))) (= (tptp.sdtasdt0 (tptp.sdtpldt0 W1 W2) W0) (tptp.sdtpldt0 (tptp.sdtasdt0 W1 W0) (tptp.sdtasdt0 W2 W0)))))))
% 0.44/0.61 (assume a13 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (=> (or (= (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W0 W2)) (= (tptp.sdtpldt0 W1 W0) (tptp.sdtpldt0 W2 W0))) (= W1 W2)))))
% 0.44/0.61 (assume a14 (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (=> (not (= W0 tptp.sz00)) (forall ((W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (=> (or (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W0 W2)) (= (tptp.sdtasdt0 W1 W0) (tptp.sdtasdt0 W2 W0))) (= W1 W2))))))))
% 0.44/0.61 (assume a15 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (= (tptp.sdtpldt0 W0 W1) tptp.sz00) (and (= W0 tptp.sz00) (= W1 tptp.sz00))))))
% 0.44/0.61 (assume a16 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (= (tptp.sdtasdt0 W0 W1) tptp.sz00) (or (= W0 tptp.sz00) (= W1 tptp.sz00))))))
% 0.44/0.61 (assume a17 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (= (tptp.sdtlseqdt0 W0 W1) (exists ((W2 $$unsorted)) (and (tptp.aNaturalNumber0 W2) (= (tptp.sdtpldt0 W0 W2) W1)))))))
% 0.44/0.61 (assume a18 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (tptp.sdtlseqdt0 W0 W1) (forall ((W2 $$unsorted)) (= (= W2 (tptp.sdtmndt0 W1 W0)) (and (tptp.aNaturalNumber0 W2) (= (tptp.sdtpldt0 W0 W2) W1))))))))
% 0.44/0.61 (assume a19 (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (tptp.sdtlseqdt0 W0 W0))))
% 0.44/0.61 (assume a20 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (and (tptp.sdtlseqdt0 W0 W1) (tptp.sdtlseqdt0 W1 W0)) (= W0 W1)))))
% 0.44/0.61 (assume a21 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (=> (and (tptp.sdtlseqdt0 W0 W1) (tptp.sdtlseqdt0 W1 W2)) (tptp.sdtlseqdt0 W0 W2)))))
% 0.44/0.61 (assume a22 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (or (tptp.sdtlseqdt0 W0 W1) (and (not (= W1 W0)) (tptp.sdtlseqdt0 W1 W0))))))
% 0.44/0.61 (assume a23 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (and (not (= W0 W1)) (tptp.sdtlseqdt0 W0 W1)) (forall ((W2 $$unsorted)) (=> (tptp.aNaturalNumber0 W2) (and (not (= (tptp.sdtpldt0 W2 W0) (tptp.sdtpldt0 W2 W1))) (tptp.sdtlseqdt0 (tptp.sdtpldt0 W2 W0) (tptp.sdtpldt0 W2 W1)) (not (= (tptp.sdtpldt0 W0 W2) (tptp.sdtpldt0 W1 W2))) (tptp.sdtlseqdt0 (tptp.sdtpldt0 W0 W2) (tptp.sdtpldt0 W1 W2)))))))))
% 0.44/0.61 (assume a24 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (=> (and (not (= W0 tptp.sz00)) (not (= W1 W2)) (tptp.sdtlseqdt0 W1 W2)) (and (not (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W0 W2))) (tptp.sdtlseqdt0 (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W0 W2)) (not (= (tptp.sdtasdt0 W1 W0) (tptp.sdtasdt0 W2 W0))) (tptp.sdtlseqdt0 (tptp.sdtasdt0 W1 W0) (tptp.sdtasdt0 W2 W0)))))))
% 0.44/0.61 (assume a25 (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (or (= W0 tptp.sz00) (= W0 tptp.sz10) (and (not (= tptp.sz10 W0)) (tptp.sdtlseqdt0 tptp.sz10 W0))))))
% 0.44/0.61 (assume a26 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (not (= W0 tptp.sz00)) (tptp.sdtlseqdt0 W1 (tptp.sdtasdt0 W1 W0))))))
% 0.44/0.61 (assume a27 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (tptp.iLess0 W0 W1) true))))
% 0.44/0.61 (assume a28 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (and (not (= W0 W1)) (tptp.sdtlseqdt0 W0 W1)) (tptp.iLess0 W0 W1)))))
% 0.44/0.61 (assume a29 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (= (tptp.doDivides0 W0 W1) (exists ((W2 $$unsorted)) (and (tptp.aNaturalNumber0 W2) (= W1 (tptp.sdtasdt0 W0 W2))))))))
% 0.44/0.61 (assume a30 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (and (not (= W0 tptp.sz00)) (tptp.doDivides0 W0 W1)) (forall ((W2 $$unsorted)) (= (= W2 (tptp.sdtsldt0 W1 W0)) (and (tptp.aNaturalNumber0 W2) (= W1 (tptp.sdtasdt0 W0 W2)))))))))
% 0.44/0.61 (assume a31 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (=> (and (tptp.doDivides0 W0 W1) (tptp.doDivides0 W1 W2)) (tptp.doDivides0 W0 W2)))))
% 0.44/0.61 (assume a32 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (=> (and (tptp.doDivides0 W0 W1) (tptp.doDivides0 W0 W2)) (tptp.doDivides0 W0 (tptp.sdtpldt0 W1 W2))))))
% 0.44/0.61 (assume a33 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (=> (and (tptp.doDivides0 W0 W1) (tptp.doDivides0 W0 (tptp.sdtpldt0 W1 W2))) (tptp.doDivides0 W0 W2)))))
% 0.44/0.61 (assume a34 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (and (tptp.doDivides0 W0 W1) (not (= W1 tptp.sz00))) (tptp.sdtlseqdt0 W0 W1)))))
% 0.44/0.61 (assume a35 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (and (not (= W0 tptp.sz00)) (tptp.doDivides0 W0 W1)) (forall ((W2 $$unsorted)) (=> (tptp.aNaturalNumber0 W2) (= (tptp.sdtasdt0 W2 (tptp.sdtsldt0 W1 W0)) (tptp.sdtsldt0 (tptp.sdtasdt0 W2 W1) W0))))))))
% 0.44/0.61 (assume a36 (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (= (tptp.isPrime0 W0) (and (not (= W0 tptp.sz00)) (not (= W0 tptp.sz10)) (forall ((W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W1) (tptp.doDivides0 W1 W0)) (or (= W1 tptp.sz10) (= W1 W0)))))))))
% 0.44/0.61 (assume a37 (tptp.aNaturalNumber0 tptp.xk))
% 0.44/0.61 (assume a38 (forall ((W0 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (not (= W0 tptp.sz00)) (not (= W0 tptp.sz10))) (=> (tptp.iLess0 W0 tptp.xk) (exists ((W1 $$unsorted)) (and (tptp.aNaturalNumber0 W1) (exists ((W2 $$unsorted)) (and (tptp.aNaturalNumber0 W2) (= W0 (tptp.sdtasdt0 W1 W2)))) (tptp.doDivides0 W1 W0) (not (= W1 tptp.sz00)) (not (= W1 tptp.sz10)) (forall ((W2 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W2) (or (exists ((W3 $$unsorted)) (and (tptp.aNaturalNumber0 W3) (= W1 (tptp.sdtasdt0 W2 W3)))) (tptp.doDivides0 W2 W1))) (or (= W2 tptp.sz10) (= W2 W1)))) (tptp.isPrime0 W1)))))))
% 0.44/0.61 (assume a39 (and (not (= tptp.xk tptp.sz00)) (not (= tptp.xk tptp.sz10))))
% 0.44/0.61 (assume a40 (not (=> (and (forall ((W0 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (or (exists ((W1 $$unsorted)) (and (tptp.aNaturalNumber0 W1) (= tptp.xk (tptp.sdtasdt0 W0 W1)))) (tptp.doDivides0 W0 tptp.xk))) (or (= W0 tptp.sz10) (= W0 tptp.xk)))) (tptp.isPrime0 tptp.xk)) (exists ((W0 $$unsorted)) (and (tptp.aNaturalNumber0 W0) (or (exists ((W1 $$unsorted)) (and (tptp.aNaturalNumber0 W1) (= tptp.xk (tptp.sdtasdt0 W0 W1)))) (tptp.doDivides0 W0 tptp.xk)) (or (and (not (= W0 tptp.sz00)) (not (= W0 tptp.sz10)) (forall ((W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W1) (exists ((W2 $$unsorted)) (and (tptp.aNaturalNumber0 W2) (= W0 (tptp.sdtasdt0 W1 W2)))) (tptp.doDivides0 W1 W0)) (or (= W1 tptp.sz10) (= W1 W0))))) (tptp.isPrime0 W0)))))))
% 0.44/0.61 (assume a41 true)
% 0.44/0.61 (step t1 (cl (not (or (not (tptp.aNaturalNumber0 tptp.xk)) (and (or (not (tptp.aNaturalNumber0 tptp.sz10)) (not (= tptp.xk (tptp.sdtasdt0 tptp.xk tptp.sz10)))) (not (tptp.doDivides0 tptp.xk tptp.xk))) (and (or (= tptp.sz00 tptp.xk) (= tptp.sz10 tptp.xk) (not (forall ((W1 $$unsorted) (BOUND_VARIABLE_1942 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (tptp.doDivides0 W1 tptp.xk)) (= tptp.sz10 W1) (= tptp.xk W1) (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1942)) (not (= tptp.xk (tptp.sdtasdt0 W1 BOUND_VARIABLE_1942))))))) (not (tptp.isPrime0 tptp.xk))))) (not (tptp.aNaturalNumber0 tptp.xk)) (and (or (not (tptp.aNaturalNumber0 tptp.sz10)) (not (= tptp.xk (tptp.sdtasdt0 tptp.xk tptp.sz10)))) (not (tptp.doDivides0 tptp.xk tptp.xk))) (and (or (= tptp.sz00 tptp.xk) (= tptp.sz10 tptp.xk) (not (forall ((W1 $$unsorted) (BOUND_VARIABLE_1942 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (tptp.doDivides0 W1 tptp.xk)) (= tptp.sz10 W1) (= tptp.xk W1) (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1942)) (not (= tptp.xk (tptp.sdtasdt0 W1 BOUND_VARIABLE_1942))))))) (not (tptp.isPrime0 tptp.xk)))) :rule or_pos)
% 0.44/0.61 (step t2 (cl (not (tptp.aNaturalNumber0 tptp.xk)) (and (or (not (tptp.aNaturalNumber0 tptp.sz10)) (not (= tptp.xk (tptp.sdtasdt0 tptp.xk tptp.sz10)))) (not (tptp.doDivides0 tptp.xk tptp.xk))) (and (or (= tptp.sz00 tptp.xk) (= tptp.sz10 tptp.xk) (not (forall ((W1 $$unsorted) (BOUND_VARIABLE_1942 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (tptp.doDivides0 W1 tptp.xk)) (= tptp.sz10 W1) (= tptp.xk W1) (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1942)) (not (= tptp.xk (tptp.sdtasdt0 W1 BOUND_VARIABLE_1942))))))) (not (tptp.isPrime0 tptp.xk))) (not (or (not (tptp.aNaturalNumber0 tptp.xk)) (and (or (not (tptp.aNaturalNumber0 tptp.sz10)) (not (= tptp.xk (tptp.sdtasdt0 tptp.xk tptp.sz10)))) (not (tptp.doDivides0 tptp.xk tptp.xk))) (and (or (= tptp.sz00 tptp.xk) (= tptp.sz10 tptp.xk) (not (forall ((W1 $$unsorted) (BOUND_VARIABLE_1942 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (tptp.doDivides0 W1 tptp.xk)) (= tptp.sz10 W1) (= tptp.xk W1) (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1942)) (not (= tptp.xk (tptp.sdtasdt0 W1 BOUND_VARIABLE_1942))))))) (not (tptp.isPrime0 tptp.xk)))))) :rule reordering :premises (t1))
% 0.44/0.61 (step t3 (cl (not (and (or (not (tptp.aNaturalNumber0 tptp.sz10)) (not (= tptp.xk (tptp.sdtasdt0 tptp.xk tptp.sz10)))) (not (tptp.doDivides0 tptp.xk tptp.xk)))) (or (not (tptp.aNaturalNumber0 tptp.sz10)) (not (= tptp.xk (tptp.sdtasdt0 tptp.xk tptp.sz10))))) :rule and_pos)
% 0.44/0.61 (step t4 (cl (or (not (tptp.aNaturalNumber0 tptp.sz10)) (not (= tptp.xk (tptp.sdtasdt0 tptp.xk tptp.sz10)))) (not (and (or (not (tptp.aNaturalNumber0 tptp.sz10)) (not (= tptp.xk (tptp.sdtasdt0 tptp.xk tptp.sz10)))) (not (tptp.doDivides0 tptp.xk tptp.xk))))) :rule reordering :premises (t3))
% 0.44/0.61 (step t5 (cl (not (or (not (tptp.aNaturalNumber0 tptp.sz10)) (not (= tptp.xk (tptp.sdtasdt0 tptp.xk tptp.sz10))))) (not (tptp.aNaturalNumber0 tptp.sz10)) (not (= tptp.xk (tptp.sdtasdt0 tptp.xk tptp.sz10)))) :rule or_pos)
% 0.44/0.61 (step t6 (cl (not (tptp.aNaturalNumber0 tptp.sz10)) (not (= tptp.xk (tptp.sdtasdt0 tptp.xk tptp.sz10))) (not (or (not (tptp.aNaturalNumber0 tptp.sz10)) (not (= tptp.xk (tptp.sdtasdt0 tptp.xk tptp.sz10)))))) :rule reordering :premises (t5))
% 0.44/0.61 (step t7 (cl (not (= (and (tptp.aNaturalNumber0 tptp.sz10) (not (= tptp.sz10 tptp.sz00))) (and (tptp.aNaturalNumber0 tptp.sz10) (not (= tptp.sz00 tptp.sz10))))) (not (and (tptp.aNaturalNumber0 tptp.sz10) (not (= tptp.sz10 tptp.sz00)))) (and (tptp.aNaturalNumber0 tptp.sz10) (not (= tptp.sz00 tptp.sz10)))) :rule equiv_pos2)
% 0.44/0.61 (step t8 (cl (= (tptp.aNaturalNumber0 tptp.sz10) (tptp.aNaturalNumber0 tptp.sz10))) :rule refl)
% 0.44/0.61 (step t9 (cl (= (= tptp.sz10 tptp.sz00) (= tptp.sz00 tptp.sz10))) :rule all_simplify)
% 0.44/0.61 (step t10 (cl (= (not (= tptp.sz10 tptp.sz00)) (not (= tptp.sz00 tptp.sz10)))) :rule cong :premises (t9))
% 0.44/0.61 (step t11 (cl (= (and (tptp.aNaturalNumber0 tptp.sz10) (not (= tptp.sz10 tptp.sz00))) (and (tptp.aNaturalNumber0 tptp.sz10) (not (= tptp.sz00 tptp.sz10))))) :rule cong :premises (t8 t10))
% 0.44/0.61 (step t12 (cl (and (tptp.aNaturalNumber0 tptp.sz10) (not (= tptp.sz00 tptp.sz10)))) :rule resolution :premises (t7 t11 a2))
% 0.44/0.61 (step t13 (cl (tptp.aNaturalNumber0 tptp.sz10)) :rule and :premises (t12))
% 0.44/0.61 (step t14 (cl (not (and (= tptp.xk (tptp.sdtasdt0 tptp.xk tptp.sz10)) (= tptp.xk (tptp.sdtasdt0 tptp.sz10 tptp.xk)))) (= tptp.xk (tptp.sdtasdt0 tptp.xk tptp.sz10))) :rule and_pos)
% 0.44/0.61 (step t15 (cl (= tptp.xk (tptp.sdtasdt0 tptp.xk tptp.sz10)) (not (and (= tptp.xk (tptp.sdtasdt0 tptp.xk tptp.sz10)) (= tptp.xk (tptp.sdtasdt0 tptp.sz10 tptp.xk))))) :rule reordering :premises (t14))
% 0.44/0.61 (step t16 (cl (not (or (not (tptp.aNaturalNumber0 tptp.xk)) (and (= tptp.xk (tptp.sdtasdt0 tptp.xk tptp.sz10)) (= tptp.xk (tptp.sdtasdt0 tptp.sz10 tptp.xk))))) (not (tptp.aNaturalNumber0 tptp.xk)) (and (= tptp.xk (tptp.sdtasdt0 tptp.xk tptp.sz10)) (= tptp.xk (tptp.sdtasdt0 tptp.sz10 tptp.xk)))) :rule or_pos)
% 0.44/0.61 (step t17 (cl (not (tptp.aNaturalNumber0 tptp.xk)) (and (= tptp.xk (tptp.sdtasdt0 tptp.xk tptp.sz10)) (= tptp.xk (tptp.sdtasdt0 tptp.sz10 tptp.xk))) (not (or (not (tptp.aNaturalNumber0 tptp.xk)) (and (= tptp.xk (tptp.sdtasdt0 tptp.xk tptp.sz10)) (= tptp.xk (tptp.sdtasdt0 tptp.sz10 tptp.xk)))))) :rule reordering :premises (t16))
% 0.44/0.61 (step t18 (cl (=> (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (= W0 (tptp.sdtasdt0 W0 tptp.sz10)) (= W0 (tptp.sdtasdt0 tptp.sz10 W0))))) (or (not (tptp.aNaturalNumber0 tptp.xk)) (and (= tptp.xk (tptp.sdtasdt0 tptp.xk tptp.sz10)) (= tptp.xk (tptp.sdtasdt0 tptp.sz10 tptp.xk))))) (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (= W0 (tptp.sdtasdt0 W0 tptp.sz10)) (= W0 (tptp.sdtasdt0 tptp.sz10 W0)))))) :rule implies_neg1)
% 0.44/0.61 (anchor :step t19)
% 0.44/0.61 (assume t19.a0 (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (= W0 (tptp.sdtasdt0 W0 tptp.sz10)) (= W0 (tptp.sdtasdt0 tptp.sz10 W0))))))
% 0.44/0.61 (step t19.t1 (cl (or (not (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (= W0 (tptp.sdtasdt0 W0 tptp.sz10)) (= W0 (tptp.sdtasdt0 tptp.sz10 W0)))))) (or (not (tptp.aNaturalNumber0 tptp.xk)) (and (= tptp.xk (tptp.sdtasdt0 tptp.xk tptp.sz10)) (= tptp.xk (tptp.sdtasdt0 tptp.sz10 tptp.xk)))))) :rule forall_inst :args ((:= W0 tptp.xk)))
% 0.44/0.61 (step t19.t2 (cl (not (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (= W0 (tptp.sdtasdt0 W0 tptp.sz10)) (= W0 (tptp.sdtasdt0 tptp.sz10 W0)))))) (or (not (tptp.aNaturalNumber0 tptp.xk)) (and (= tptp.xk (tptp.sdtasdt0 tptp.xk tptp.sz10)) (= tptp.xk (tptp.sdtasdt0 tptp.sz10 tptp.xk))))) :rule or :premises (t19.t1))
% 0.44/0.61 (step t19.t3 (cl (or (not (tptp.aNaturalNumber0 tptp.xk)) (and (= tptp.xk (tptp.sdtasdt0 tptp.xk tptp.sz10)) (= tptp.xk (tptp.sdtasdt0 tptp.sz10 tptp.xk))))) :rule resolution :premises (t19.t2 t19.a0))
% 0.44/0.61 (step t19 (cl (not (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (= W0 (tptp.sdtasdt0 W0 tptp.sz10)) (= W0 (tptp.sdtasdt0 tptp.sz10 W0)))))) (or (not (tptp.aNaturalNumber0 tptp.xk)) (and (= tptp.xk (tptp.sdtasdt0 tptp.xk tptp.sz10)) (= tptp.xk (tptp.sdtasdt0 tptp.sz10 tptp.xk))))) :rule subproof :discharge (t19.a0))
% 0.44/0.61 (step t20 (cl (=> (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (= W0 (tptp.sdtasdt0 W0 tptp.sz10)) (= W0 (tptp.sdtasdt0 tptp.sz10 W0))))) (or (not (tptp.aNaturalNumber0 tptp.xk)) (and (= tptp.xk (tptp.sdtasdt0 tptp.xk tptp.sz10)) (= tptp.xk (tptp.sdtasdt0 tptp.sz10 tptp.xk))))) (or (not (tptp.aNaturalNumber0 tptp.xk)) (and (= tptp.xk (tptp.sdtasdt0 tptp.xk tptp.sz10)) (= tptp.xk (tptp.sdtasdt0 tptp.sz10 tptp.xk))))) :rule resolution :premises (t18 t19))
% 0.44/0.61 (step t21 (cl (=> (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (= W0 (tptp.sdtasdt0 W0 tptp.sz10)) (= W0 (tptp.sdtasdt0 tptp.sz10 W0))))) (or (not (tptp.aNaturalNumber0 tptp.xk)) (and (= tptp.xk (tptp.sdtasdt0 tptp.xk tptp.sz10)) (= tptp.xk (tptp.sdtasdt0 tptp.sz10 tptp.xk))))) (not (or (not (tptp.aNaturalNumber0 tptp.xk)) (and (= tptp.xk (tptp.sdtasdt0 tptp.xk tptp.sz10)) (= tptp.xk (tptp.sdtasdt0 tptp.sz10 tptp.xk)))))) :rule implies_neg2)
% 0.44/0.61 (step t22 (cl (=> (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (= W0 (tptp.sdtasdt0 W0 tptp.sz10)) (= W0 (tptp.sdtasdt0 tptp.sz10 W0))))) (or (not (tptp.aNaturalNumber0 tptp.xk)) (and (= tptp.xk (tptp.sdtasdt0 tptp.xk tptp.sz10)) (= tptp.xk (tptp.sdtasdt0 tptp.sz10 tptp.xk))))) (=> (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (= W0 (tptp.sdtasdt0 W0 tptp.sz10)) (= W0 (tptp.sdtasdt0 tptp.sz10 W0))))) (or (not (tptp.aNaturalNumber0 tptp.xk)) (and (= tptp.xk (tptp.sdtasdt0 tptp.xk tptp.sz10)) (= tptp.xk (tptp.sdtasdt0 tptp.sz10 tptp.xk)))))) :rule resolution :premises (t20 t21))
% 0.44/0.61 (step t23 (cl (=> (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (= W0 (tptp.sdtasdt0 W0 tptp.sz10)) (= W0 (tptp.sdtasdt0 tptp.sz10 W0))))) (or (not (tptp.aNaturalNumber0 tptp.xk)) (and (= tptp.xk (tptp.sdtasdt0 tptp.xk tptp.sz10)) (= tptp.xk (tptp.sdtasdt0 tptp.sz10 tptp.xk)))))) :rule contraction :premises (t22))
% 0.44/0.61 (step t24 (cl (not (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (= W0 (tptp.sdtasdt0 W0 tptp.sz10)) (= W0 (tptp.sdtasdt0 tptp.sz10 W0)))))) (or (not (tptp.aNaturalNumber0 tptp.xk)) (and (= tptp.xk (tptp.sdtasdt0 tptp.xk tptp.sz10)) (= tptp.xk (tptp.sdtasdt0 tptp.sz10 tptp.xk))))) :rule implies :premises (t23))
% 0.44/0.61 (step t25 (cl (not (= (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (and (= (tptp.sdtasdt0 W0 tptp.sz10) W0) (= W0 (tptp.sdtasdt0 tptp.sz10 W0))))) (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (= W0 (tptp.sdtasdt0 W0 tptp.sz10)) (= W0 (tptp.sdtasdt0 tptp.sz10 W0))))))) (not (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (and (= (tptp.sdtasdt0 W0 tptp.sz10) W0) (= W0 (tptp.sdtasdt0 tptp.sz10 W0)))))) (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (= W0 (tptp.sdtasdt0 W0 tptp.sz10)) (= W0 (tptp.sdtasdt0 tptp.sz10 W0)))))) :rule equiv_pos2)
% 0.44/0.61 (anchor :step t26 :args ((W0 $$unsorted) (:= W0 W0)))
% 0.44/0.61 (step t26.t1 (cl (= W0 W0)) :rule refl)
% 0.44/0.61 (step t26.t2 (cl (= (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W0))) :rule refl)
% 0.44/0.61 (step t26.t3 (cl (= (= (tptp.sdtasdt0 W0 tptp.sz10) W0) (= W0 (tptp.sdtasdt0 W0 tptp.sz10)))) :rule all_simplify)
% 0.44/0.61 (step t26.t4 (cl (= (= W0 (tptp.sdtasdt0 tptp.sz10 W0)) (= W0 (tptp.sdtasdt0 tptp.sz10 W0)))) :rule refl)
% 0.44/0.61 (step t26.t5 (cl (= (and (= (tptp.sdtasdt0 W0 tptp.sz10) W0) (= W0 (tptp.sdtasdt0 tptp.sz10 W0))) (and (= W0 (tptp.sdtasdt0 W0 tptp.sz10)) (= W0 (tptp.sdtasdt0 tptp.sz10 W0))))) :rule cong :premises (t26.t3 t26.t4))
% 0.44/0.61 (step t26.t6 (cl (= (=> (tptp.aNaturalNumber0 W0) (and (= (tptp.sdtasdt0 W0 tptp.sz10) W0) (= W0 (tptp.sdtasdt0 tptp.sz10 W0)))) (=> (tptp.aNaturalNumber0 W0) (and (= W0 (tptp.sdtasdt0 W0 tptp.sz10)) (= W0 (tptp.sdtasdt0 tptp.sz10 W0)))))) :rule cong :premises (t26.t2 t26.t5))
% 0.44/0.61 (step t26 (cl (= (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (and (= (tptp.sdtasdt0 W0 tptp.sz10) W0) (= W0 (tptp.sdtasdt0 tptp.sz10 W0))))) (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (and (= W0 (tptp.sdtasdt0 W0 tptp.sz10)) (= W0 (tptp.sdtasdt0 tptp.sz10 W0))))))) :rule bind)
% 0.44/0.61 (step t27 (cl (= (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (and (= W0 (tptp.sdtasdt0 W0 tptp.sz10)) (= W0 (tptp.sdtasdt0 tptp.sz10 W0))))) (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (= W0 (tptp.sdtasdt0 W0 tptp.sz10)) (= W0 (tptp.sdtasdt0 tptp.sz10 W0))))))) :rule all_simplify)
% 0.44/0.61 (step t28 (cl (= (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (and (= (tptp.sdtasdt0 W0 tptp.sz10) W0) (= W0 (tptp.sdtasdt0 tptp.sz10 W0))))) (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (= W0 (tptp.sdtasdt0 W0 tptp.sz10)) (= W0 (tptp.sdtasdt0 tptp.sz10 W0))))))) :rule trans :premises (t26 t27))
% 0.44/0.61 (step t29 (cl (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (= W0 (tptp.sdtasdt0 W0 tptp.sz10)) (= W0 (tptp.sdtasdt0 tptp.sz10 W0)))))) :rule resolution :premises (t25 t28 a10))
% 0.44/0.61 (step t30 (cl (or (not (tptp.aNaturalNumber0 tptp.xk)) (and (= tptp.xk (tptp.sdtasdt0 tptp.xk tptp.sz10)) (= tptp.xk (tptp.sdtasdt0 tptp.sz10 tptp.xk))))) :rule resolution :premises (t24 t29))
% 0.44/0.61 (step t31 (cl (and (= tptp.xk (tptp.sdtasdt0 tptp.xk tptp.sz10)) (= tptp.xk (tptp.sdtasdt0 tptp.sz10 tptp.xk)))) :rule resolution :premises (t17 a37 t30))
% 0.44/0.61 (step t32 (cl (= tptp.xk (tptp.sdtasdt0 tptp.xk tptp.sz10))) :rule resolution :premises (t15 t31))
% 0.44/0.61 (step t33 (cl (not (or (not (tptp.aNaturalNumber0 tptp.sz10)) (not (= tptp.xk (tptp.sdtasdt0 tptp.xk tptp.sz10)))))) :rule resolution :premises (t6 t13 t32))
% 0.44/0.61 (step t34 (cl (not (and (or (not (tptp.aNaturalNumber0 tptp.sz10)) (not (= tptp.xk (tptp.sdtasdt0 tptp.xk tptp.sz10)))) (not (tptp.doDivides0 tptp.xk tptp.xk))))) :rule resolution :premises (t4 t33))
% 0.44/0.61 (step t35 (cl (not (and (or (= tptp.sz00 tptp.xk) (= tptp.sz10 tptp.xk) (not (forall ((W1 $$unsorted) (BOUND_VARIABLE_1942 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (tptp.doDivides0 W1 tptp.xk)) (= tptp.sz10 W1) (= tptp.xk W1) (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1942)) (not (= tptp.xk (tptp.sdtasdt0 W1 BOUND_VARIABLE_1942))))))) (not (tptp.isPrime0 tptp.xk)))) (not (tptp.isPrime0 tptp.xk))) :rule and_pos)
% 0.44/0.61 (step t36 (cl (not (tptp.isPrime0 tptp.xk)) (not (and (or (= tptp.sz00 tptp.xk) (= tptp.sz10 tptp.xk) (not (forall ((W1 $$unsorted) (BOUND_VARIABLE_1942 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (tptp.doDivides0 W1 tptp.xk)) (= tptp.sz10 W1) (= tptp.xk W1) (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1942)) (not (= tptp.xk (tptp.sdtasdt0 W1 BOUND_VARIABLE_1942))))))) (not (tptp.isPrime0 tptp.xk))))) :rule reordering :premises (t35))
% 0.44/0.61 (step t37 (cl (not (= (not (=> (and (forall ((W0 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (or (exists ((W1 $$unsorted)) (and (tptp.aNaturalNumber0 W1) (= tptp.xk (tptp.sdtasdt0 W0 W1)))) (tptp.doDivides0 W0 tptp.xk))) (or (= W0 tptp.sz10) (= W0 tptp.xk)))) (tptp.isPrime0 tptp.xk)) (exists ((W0 $$unsorted)) (and (tptp.aNaturalNumber0 W0) (or (exists ((W1 $$unsorted)) (and (tptp.aNaturalNumber0 W1) (= tptp.xk (tptp.sdtasdt0 W0 W1)))) (tptp.doDivides0 W0 tptp.xk)) (or (and (not (= W0 tptp.sz00)) (not (= W0 tptp.sz10)) (forall ((W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W1) (exists ((W2 $$unsorted)) (and (tptp.aNaturalNumber0 W2) (= W0 (tptp.sdtasdt0 W1 W2)))) (tptp.doDivides0 W1 W0)) (or (= W1 tptp.sz10) (= W1 W0))))) (tptp.isPrime0 W0)))))) (not (=> (and (forall ((W0 $$unsorted) (BOUND_VARIABLE_1896 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (or (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1896)) (not (= tptp.xk (tptp.sdtasdt0 W0 BOUND_VARIABLE_1896)))) (not (tptp.doDivides0 W0 tptp.xk))) (= tptp.sz10 W0) (= tptp.xk W0))) (tptp.isPrime0 tptp.xk)) (not (forall ((W0 $$unsorted) (BOUND_VARIABLE_1974 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (or (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1974)) (not (= tptp.xk (tptp.sdtasdt0 W0 BOUND_VARIABLE_1974)))) (not (tptp.doDivides0 W0 tptp.xk))) (and (or (= tptp.sz00 W0) (= tptp.sz10 W0) (not (forall ((W1 $$unsorted) (BOUND_VARIABLE_1942 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (tptp.doDivides0 W1 W0)) (= tptp.sz10 W1) (= W0 W1) (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1942)) (not (= W0 (tptp.sdtasdt0 W1 BOUND_VARIABLE_1942))))))) (not (tptp.isPrime0 W0)))))))))) (not (not (=> (and (forall ((W0 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (or (exists ((W1 $$unsorted)) (and (tptp.aNaturalNumber0 W1) (= tptp.xk (tptp.sdtasdt0 W0 W1)))) (tptp.doDivides0 W0 tptp.xk))) (or (= W0 tptp.sz10) (= W0 tptp.xk)))) (tptp.isPrime0 tptp.xk)) (exists ((W0 $$unsorted)) (and (tptp.aNaturalNumber0 W0) (or (exists ((W1 $$unsorted)) (and (tptp.aNaturalNumber0 W1) (= tptp.xk (tptp.sdtasdt0 W0 W1)))) (tptp.doDivides0 W0 tptp.xk)) (or (and (not (= W0 tptp.sz00)) (not (= W0 tptp.sz10)) (forall ((W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W1) (exists ((W2 $$unsorted)) (and (tptp.aNaturalNumber0 W2) (= W0 (tptp.sdtasdt0 W1 W2)))) (tptp.doDivides0 W1 W0)) (or (= W1 tptp.sz10) (= W1 W0))))) (tptp.isPrime0 W0))))))) (not (=> (and (forall ((W0 $$unsorted) (BOUND_VARIABLE_1896 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (or (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1896)) (not (= tptp.xk (tptp.sdtasdt0 W0 BOUND_VARIABLE_1896)))) (not (tptp.doDivides0 W0 tptp.xk))) (= tptp.sz10 W0) (= tptp.xk W0))) (tptp.isPrime0 tptp.xk)) (not (forall ((W0 $$unsorted) (BOUND_VARIABLE_1974 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (or (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1974)) (not (= tptp.xk (tptp.sdtasdt0 W0 BOUND_VARIABLE_1974)))) (not (tptp.doDivides0 W0 tptp.xk))) (and (or (= tptp.sz00 W0) (= tptp.sz10 W0) (not (forall ((W1 $$unsorted) (BOUND_VARIABLE_1942 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (tptp.doDivides0 W1 W0)) (= tptp.sz10 W1) (= W0 W1) (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1942)) (not (= W0 (tptp.sdtasdt0 W1 BOUND_VARIABLE_1942))))))) (not (tptp.isPrime0 W0))))))))) :rule equiv_pos2)
% 0.44/0.61 (anchor :step t38 :args ((W0 $$unsorted) (:= W0 W0)))
% 0.44/0.61 (step t38.t1 (cl (= W0 W0)) :rule refl)
% 0.44/0.61 (step t38.t2 (cl (= (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W0))) :rule refl)
% 0.44/0.61 (step t38.t3 (cl (= (exists ((W1 $$unsorted)) (and (tptp.aNaturalNumber0 W1) (= tptp.xk (tptp.sdtasdt0 W0 W1)))) (not (forall ((W1 $$unsorted)) (not (and (tptp.aNaturalNumber0 W1) (= tptp.xk (tptp.sdtasdt0 W0 W1)))))))) :rule all_simplify)
% 0.44/0.61 (step t38.t4 (cl (= (forall ((W1 $$unsorted)) (not (and (tptp.aNaturalNumber0 W1) (= tptp.xk (tptp.sdtasdt0 W0 W1))))) (forall ((W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (= tptp.xk (tptp.sdtasdt0 W0 W1))))))) :rule all_simplify)
% 0.44/0.61 (step t38.t5 (cl (= (not (forall ((W1 $$unsorted)) (not (and (tptp.aNaturalNumber0 W1) (= tptp.xk (tptp.sdtasdt0 W0 W1)))))) (not (forall ((W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (= tptp.xk (tptp.sdtasdt0 W0 W1)))))))) :rule cong :premises (t38.t4))
% 0.44/0.61 (step t38.t6 (cl (= (exists ((W1 $$unsorted)) (and (tptp.aNaturalNumber0 W1) (= tptp.xk (tptp.sdtasdt0 W0 W1)))) (not (forall ((W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (= tptp.xk (tptp.sdtasdt0 W0 W1)))))))) :rule trans :premises (t38.t3 t38.t5))
% 0.44/0.61 (step t38.t7 (cl (= (tptp.doDivides0 W0 tptp.xk) (tptp.doDivides0 W0 tptp.xk))) :rule refl)
% 0.44/0.61 (step t38.t8 (cl (= (or (exists ((W1 $$unsorted)) (and (tptp.aNaturalNumber0 W1) (= tptp.xk (tptp.sdtasdt0 W0 W1)))) (tptp.doDivides0 W0 tptp.xk)) (or (not (forall ((W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (= tptp.xk (tptp.sdtasdt0 W0 W1)))))) (tptp.doDivides0 W0 tptp.xk)))) :rule cong :premises (t38.t6 t38.t7))
% 0.44/0.61 (step t38.t9 (cl (= (and (tptp.aNaturalNumber0 W0) (or (exists ((W1 $$unsorted)) (and (tptp.aNaturalNumber0 W1) (= tptp.xk (tptp.sdtasdt0 W0 W1)))) (tptp.doDivides0 W0 tptp.xk))) (and (tptp.aNaturalNumber0 W0) (or (not (forall ((W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (= tptp.xk (tptp.sdtasdt0 W0 W1)))))) (tptp.doDivides0 W0 tptp.xk))))) :rule cong :premises (t38.t2 t38.t8))
% 0.44/0.61 (step t38.t10 (cl (= (= W0 tptp.sz10) (= tptp.sz10 W0))) :rule all_simplify)
% 0.44/0.61 (step t38.t11 (cl (= (= W0 tptp.xk) (= tptp.xk W0))) :rule all_simplify)
% 0.44/0.61 (step t38.t12 (cl (= (or (= W0 tptp.sz10) (= W0 tptp.xk)) (or (= tptp.sz10 W0) (= tptp.xk W0)))) :rule cong :premises (t38.t10 t38.t11))
% 0.44/0.61 (step t38.t13 (cl (= (=> (and (tptp.aNaturalNumber0 W0) (or (exists ((W1 $$unsorted)) (and (tptp.aNaturalNumber0 W1) (= tptp.xk (tptp.sdtasdt0 W0 W1)))) (tptp.doDivides0 W0 tptp.xk))) (or (= W0 tptp.sz10) (= W0 tptp.xk))) (=> (and (tptp.aNaturalNumber0 W0) (or (not (forall ((W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (= tptp.xk (tptp.sdtasdt0 W0 W1)))))) (tptp.doDivides0 W0 tptp.xk))) (or (= tptp.sz10 W0) (= tptp.xk W0))))) :rule cong :premises (t38.t9 t38.t12))
% 0.44/0.61 (step t38 (cl (= (forall ((W0 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (or (exists ((W1 $$unsorted)) (and (tptp.aNaturalNumber0 W1) (= tptp.xk (tptp.sdtasdt0 W0 W1)))) (tptp.doDivides0 W0 tptp.xk))) (or (= W0 tptp.sz10) (= W0 tptp.xk)))) (forall ((W0 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (or (not (forall ((W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (= tptp.xk (tptp.sdtasdt0 W0 W1)))))) (tptp.doDivides0 W0 tptp.xk))) (or (= tptp.sz10 W0) (= tptp.xk W0)))))) :rule bind)
% 0.44/0.61 (step t39 (cl (= (forall ((W0 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (or (not (forall ((W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (= tptp.xk (tptp.sdtasdt0 W0 W1)))))) (tptp.doDivides0 W0 tptp.xk))) (or (= tptp.sz10 W0) (= tptp.xk W0)))) (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (forall ((W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (= tptp.xk (tptp.sdtasdt0 W0 W1))))) (not (tptp.doDivides0 W0 tptp.xk))) (= tptp.sz10 W0) (= tptp.xk W0))))) :rule all_simplify)
% 0.44/0.61 (step t40 (cl (= (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (forall ((W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (= tptp.xk (tptp.sdtasdt0 W0 W1))))) (not (tptp.doDivides0 W0 tptp.xk))) (= tptp.sz10 W0) (= tptp.xk W0))) (forall ((W0 $$unsorted) (BOUND_VARIABLE_1896 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (or (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1896)) (not (= tptp.xk (tptp.sdtasdt0 W0 BOUND_VARIABLE_1896)))) (not (tptp.doDivides0 W0 tptp.xk))) (= tptp.sz10 W0) (= tptp.xk W0))))) :rule all_simplify)
% 0.44/0.61 (step t41 (cl (= (forall ((W0 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (or (not (forall ((W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (= tptp.xk (tptp.sdtasdt0 W0 W1)))))) (tptp.doDivides0 W0 tptp.xk))) (or (= tptp.sz10 W0) (= tptp.xk W0)))) (forall ((W0 $$unsorted) (BOUND_VARIABLE_1896 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (or (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1896)) (not (= tptp.xk (tptp.sdtasdt0 W0 BOUND_VARIABLE_1896)))) (not (tptp.doDivides0 W0 tptp.xk))) (= tptp.sz10 W0) (= tptp.xk W0))))) :rule trans :premises (t39 t40))
% 0.44/0.61 (step t42 (cl (= (forall ((W0 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (or (exists ((W1 $$unsorted)) (and (tptp.aNaturalNumber0 W1) (= tptp.xk (tptp.sdtasdt0 W0 W1)))) (tptp.doDivides0 W0 tptp.xk))) (or (= W0 tptp.sz10) (= W0 tptp.xk)))) (forall ((W0 $$unsorted) (BOUND_VARIABLE_1896 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (or (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1896)) (not (= tptp.xk (tptp.sdtasdt0 W0 BOUND_VARIABLE_1896)))) (not (tptp.doDivides0 W0 tptp.xk))) (= tptp.sz10 W0) (= tptp.xk W0))))) :rule trans :premises (t38 t41))
% 0.44/0.61 (step t43 (cl (= (tptp.isPrime0 tptp.xk) (tptp.isPrime0 tptp.xk))) :rule refl)
% 0.44/0.61 (step t44 (cl (= (and (forall ((W0 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (or (exists ((W1 $$unsorted)) (and (tptp.aNaturalNumber0 W1) (= tptp.xk (tptp.sdtasdt0 W0 W1)))) (tptp.doDivides0 W0 tptp.xk))) (or (= W0 tptp.sz10) (= W0 tptp.xk)))) (tptp.isPrime0 tptp.xk)) (and (forall ((W0 $$unsorted) (BOUND_VARIABLE_1896 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (or (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1896)) (not (= tptp.xk (tptp.sdtasdt0 W0 BOUND_VARIABLE_1896)))) (not (tptp.doDivides0 W0 tptp.xk))) (= tptp.sz10 W0) (= tptp.xk W0))) (tptp.isPrime0 tptp.xk)))) :rule cong :premises (t42 t43))
% 0.44/0.61 (anchor :step t45 :args ((W0 $$unsorted) (:= W0 W0)))
% 0.44/0.61 (step t45.t1 (cl (= W0 W0)) :rule refl)
% 0.44/0.61 (step t45.t2 (cl (= (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W0))) :rule refl)
% 0.44/0.61 (step t45.t3 (cl (= (exists ((W1 $$unsorted)) (and (tptp.aNaturalNumber0 W1) (= tptp.xk (tptp.sdtasdt0 W0 W1)))) (not (forall ((W1 $$unsorted)) (not (and (tptp.aNaturalNumber0 W1) (= tptp.xk (tptp.sdtasdt0 W0 W1)))))))) :rule all_simplify)
% 0.44/0.61 (step t45.t4 (cl (= (forall ((W1 $$unsorted)) (not (and (tptp.aNaturalNumber0 W1) (= tptp.xk (tptp.sdtasdt0 W0 W1))))) (forall ((W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (= tptp.xk (tptp.sdtasdt0 W0 W1))))))) :rule all_simplify)
% 0.44/0.61 (step t45.t5 (cl (= (not (forall ((W1 $$unsorted)) (not (and (tptp.aNaturalNumber0 W1) (= tptp.xk (tptp.sdtasdt0 W0 W1)))))) (not (forall ((W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (= tptp.xk (tptp.sdtasdt0 W0 W1)))))))) :rule cong :premises (t45.t4))
% 0.44/0.61 (step t45.t6 (cl (= (exists ((W1 $$unsorted)) (and (tptp.aNaturalNumber0 W1) (= tptp.xk (tptp.sdtasdt0 W0 W1)))) (not (forall ((W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (= tptp.xk (tptp.sdtasdt0 W0 W1)))))))) :rule trans :premises (t45.t3 t45.t5))
% 0.44/0.61 (step t45.t7 (cl (= (tptp.doDivides0 W0 tptp.xk) (tptp.doDivides0 W0 tptp.xk))) :rule refl)
% 0.44/0.61 (step t45.t8 (cl (= (or (exists ((W1 $$unsorted)) (and (tptp.aNaturalNumber0 W1) (= tptp.xk (tptp.sdtasdt0 W0 W1)))) (tptp.doDivides0 W0 tptp.xk)) (or (not (forall ((W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (= tptp.xk (tptp.sdtasdt0 W0 W1)))))) (tptp.doDivides0 W0 tptp.xk)))) :rule cong :premises (t45.t6 t45.t7))
% 0.44/0.61 (step t45.t9 (cl (= (= W0 tptp.sz00) (= tptp.sz00 W0))) :rule all_simplify)
% 0.44/0.61 (step t45.t10 (cl (= (not (= W0 tptp.sz00)) (not (= tptp.sz00 W0)))) :rule cong :premises (t45.t9))
% 0.44/0.61 (step t45.t11 (cl (= (= W0 tptp.sz10) (= tptp.sz10 W0))) :rule all_simplify)
% 0.44/0.61 (step t45.t12 (cl (= (not (= W0 tptp.sz10)) (not (= tptp.sz10 W0)))) :rule cong :premises (t45.t11))
% 0.44/0.61 (anchor :step t45.t13 :args ((W1 $$unsorted) (:= W1 W1)))
% 0.44/0.61 (step t45.t13.t1 (cl (= W1 W1)) :rule refl)
% 0.44/0.61 (step t45.t13.t2 (cl (= (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W1))) :rule refl)
% 0.44/0.61 (step t45.t13.t3 (cl (= (exists ((W2 $$unsorted)) (and (tptp.aNaturalNumber0 W2) (= W0 (tptp.sdtasdt0 W1 W2)))) (not (forall ((W2 $$unsorted)) (not (and (tptp.aNaturalNumber0 W2) (= W0 (tptp.sdtasdt0 W1 W2)))))))) :rule all_simplify)
% 0.44/0.61 (step t45.t13.t4 (cl (= (forall ((W2 $$unsorted)) (not (and (tptp.aNaturalNumber0 W2) (= W0 (tptp.sdtasdt0 W1 W2))))) (forall ((W2 $$unsorted)) (or (not (tptp.aNaturalNumber0 W2)) (not (= W0 (tptp.sdtasdt0 W1 W2))))))) :rule all_simplify)
% 0.44/0.61 (step t45.t13.t5 (cl (= (not (forall ((W2 $$unsorted)) (not (and (tptp.aNaturalNumber0 W2) (= W0 (tptp.sdtasdt0 W1 W2)))))) (not (forall ((W2 $$unsorted)) (or (not (tptp.aNaturalNumber0 W2)) (not (= W0 (tptp.sdtasdt0 W1 W2)))))))) :rule cong :premises (t45.t13.t4))
% 0.44/0.61 (step t45.t13.t6 (cl (= (exists ((W2 $$unsorted)) (and (tptp.aNaturalNumber0 W2) (= W0 (tptp.sdtasdt0 W1 W2)))) (not (forall ((W2 $$unsorted)) (or (not (tptp.aNaturalNumber0 W2)) (not (= W0 (tptp.sdtasdt0 W1 W2)))))))) :rule trans :premises (t45.t13.t3 t45.t13.t5))
% 0.44/0.61 (step t45.t13.t7 (cl (= (tptp.doDivides0 W1 W0) (tptp.doDivides0 W1 W0))) :rule refl)
% 0.44/0.61 (step t45.t13.t8 (cl (= (and (tptp.aNaturalNumber0 W1) (exists ((W2 $$unsorted)) (and (tptp.aNaturalNumber0 W2) (= W0 (tptp.sdtasdt0 W1 W2)))) (tptp.doDivides0 W1 W0)) (and (tptp.aNaturalNumber0 W1) (not (forall ((W2 $$unsorted)) (or (not (tptp.aNaturalNumber0 W2)) (not (= W0 (tptp.sdtasdt0 W1 W2)))))) (tptp.doDivides0 W1 W0)))) :rule cong :premises (t45.t13.t2 t45.t13.t6 t45.t13.t7))
% 0.44/0.61 (step t45.t13.t9 (cl (= (= W1 tptp.sz10) (= tptp.sz10 W1))) :rule all_simplify)
% 0.44/0.61 (step t45.t13.t10 (cl (= (= W1 W0) (= W0 W1))) :rule all_simplify)
% 0.44/0.61 (step t45.t13.t11 (cl (= (or (= W1 tptp.sz10) (= W1 W0)) (or (= tptp.sz10 W1) (= W0 W1)))) :rule cong :premises (t45.t13.t9 t45.t13.t10))
% 0.44/0.61 (step t45.t13.t12 (cl (= (=> (and (tptp.aNaturalNumber0 W1) (exists ((W2 $$unsorted)) (and (tptp.aNaturalNumber0 W2) (= W0 (tptp.sdtasdt0 W1 W2)))) (tptp.doDivides0 W1 W0)) (or (= W1 tptp.sz10) (= W1 W0))) (=> (and (tptp.aNaturalNumber0 W1) (not (forall ((W2 $$unsorted)) (or (not (tptp.aNaturalNumber0 W2)) (not (= W0 (tptp.sdtasdt0 W1 W2)))))) (tptp.doDivides0 W1 W0)) (or (= tptp.sz10 W1) (= W0 W1))))) :rule cong :premises (t45.t13.t8 t45.t13.t11))
% 0.44/0.61 (step t45.t13 (cl (= (forall ((W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W1) (exists ((W2 $$unsorted)) (and (tptp.aNaturalNumber0 W2) (= W0 (tptp.sdtasdt0 W1 W2)))) (tptp.doDivides0 W1 W0)) (or (= W1 tptp.sz10) (= W1 W0)))) (forall ((W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W1) (not (forall ((W2 $$unsorted)) (or (not (tptp.aNaturalNumber0 W2)) (not (= W0 (tptp.sdtasdt0 W1 W2)))))) (tptp.doDivides0 W1 W0)) (or (= tptp.sz10 W1) (= W0 W1)))))) :rule bind)
% 0.44/0.61 (step t45.t14 (cl (= (forall ((W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W1) (not (forall ((W2 $$unsorted)) (or (not (tptp.aNaturalNumber0 W2)) (not (= W0 (tptp.sdtasdt0 W1 W2)))))) (tptp.doDivides0 W1 W0)) (or (= tptp.sz10 W1) (= W0 W1)))) (forall ((W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (forall ((W2 $$unsorted)) (or (not (tptp.aNaturalNumber0 W2)) (not (= W0 (tptp.sdtasdt0 W1 W2))))) (not (tptp.doDivides0 W1 W0)) (= tptp.sz10 W1) (= W0 W1))))) :rule all_simplify)
% 0.44/0.61 (step t45.t15 (cl (= (forall ((W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (forall ((W2 $$unsorted)) (or (not (tptp.aNaturalNumber0 W2)) (not (= W0 (tptp.sdtasdt0 W1 W2))))) (not (tptp.doDivides0 W1 W0)) (= tptp.sz10 W1) (= W0 W1))) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1942 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (or (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1942)) (not (= W0 (tptp.sdtasdt0 W1 BOUND_VARIABLE_1942)))) (not (tptp.doDivides0 W1 W0)) (= tptp.sz10 W1) (= W0 W1))))) :rule all_simplify)
% 0.44/0.61 (anchor :step t45.t16 :args ((W1 $$unsorted) (:= W1 W1) (BOUND_VARIABLE_1942 $$unsorted) (:= BOUND_VARIABLE_1942 BOUND_VARIABLE_1942)))
% 0.44/0.61 (step t45.t16.t1 (cl (= W1 W1)) :rule refl)
% 0.44/0.61 (step t45.t16.t2 (cl (= BOUND_VARIABLE_1942 BOUND_VARIABLE_1942)) :rule refl)
% 0.44/0.61 (step t45.t16.t3 (cl (= (or (not (tptp.aNaturalNumber0 W1)) (or (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1942)) (not (= W0 (tptp.sdtasdt0 W1 BOUND_VARIABLE_1942)))) (not (tptp.doDivides0 W1 W0)) (= tptp.sz10 W1) (= W0 W1)) (or (not (tptp.aNaturalNumber0 W1)) (not (tptp.doDivides0 W1 W0)) (= tptp.sz10 W1) (= W0 W1) (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1942)) (not (= W0 (tptp.sdtasdt0 W1 BOUND_VARIABLE_1942)))))) :rule all_simplify)
% 0.44/0.61 (step t45.t16 (cl (= (forall ((W1 $$unsorted) (BOUND_VARIABLE_1942 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (or (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1942)) (not (= W0 (tptp.sdtasdt0 W1 BOUND_VARIABLE_1942)))) (not (tptp.doDivides0 W1 W0)) (= tptp.sz10 W1) (= W0 W1))) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1942 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (tptp.doDivides0 W1 W0)) (= tptp.sz10 W1) (= W0 W1) (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1942)) (not (= W0 (tptp.sdtasdt0 W1 BOUND_VARIABLE_1942))))))) :rule bind)
% 0.44/0.61 (step t45.t17 (cl (= (forall ((W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (forall ((W2 $$unsorted)) (or (not (tptp.aNaturalNumber0 W2)) (not (= W0 (tptp.sdtasdt0 W1 W2))))) (not (tptp.doDivides0 W1 W0)) (= tptp.sz10 W1) (= W0 W1))) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1942 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (tptp.doDivides0 W1 W0)) (= tptp.sz10 W1) (= W0 W1) (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1942)) (not (= W0 (tptp.sdtasdt0 W1 BOUND_VARIABLE_1942))))))) :rule trans :premises (t45.t15 t45.t16))
% 0.44/0.61 (step t45.t18 (cl (= (forall ((W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W1) (not (forall ((W2 $$unsorted)) (or (not (tptp.aNaturalNumber0 W2)) (not (= W0 (tptp.sdtasdt0 W1 W2)))))) (tptp.doDivides0 W1 W0)) (or (= tptp.sz10 W1) (= W0 W1)))) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1942 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (tptp.doDivides0 W1 W0)) (= tptp.sz10 W1) (= W0 W1) (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1942)) (not (= W0 (tptp.sdtasdt0 W1 BOUND_VARIABLE_1942))))))) :rule trans :premises (t45.t14 t45.t17))
% 0.44/0.61 (step t45.t19 (cl (= (forall ((W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W1) (exists ((W2 $$unsorted)) (and (tptp.aNaturalNumber0 W2) (= W0 (tptp.sdtasdt0 W1 W2)))) (tptp.doDivides0 W1 W0)) (or (= W1 tptp.sz10) (= W1 W0)))) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1942 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (tptp.doDivides0 W1 W0)) (= tptp.sz10 W1) (= W0 W1) (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1942)) (not (= W0 (tptp.sdtasdt0 W1 BOUND_VARIABLE_1942))))))) :rule trans :premises (t45.t13 t45.t18))
% 0.44/0.61 (step t45.t20 (cl (= (and (not (= W0 tptp.sz00)) (not (= W0 tptp.sz10)) (forall ((W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W1) (exists ((W2 $$unsorted)) (and (tptp.aNaturalNumber0 W2) (= W0 (tptp.sdtasdt0 W1 W2)))) (tptp.doDivides0 W1 W0)) (or (= W1 tptp.sz10) (= W1 W0))))) (and (not (= tptp.sz00 W0)) (not (= tptp.sz10 W0)) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1942 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (tptp.doDivides0 W1 W0)) (= tptp.sz10 W1) (= W0 W1) (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1942)) (not (= W0 (tptp.sdtasdt0 W1 BOUND_VARIABLE_1942)))))))) :rule cong :premises (t45.t10 t45.t12 t45.t19))
% 0.44/0.61 (step t45.t21 (cl (= (tptp.isPrime0 W0) (tptp.isPrime0 W0))) :rule refl)
% 0.44/0.61 (step t45.t22 (cl (= (or (and (not (= W0 tptp.sz00)) (not (= W0 tptp.sz10)) (forall ((W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W1) (exists ((W2 $$unsorted)) (and (tptp.aNaturalNumber0 W2) (= W0 (tptp.sdtasdt0 W1 W2)))) (tptp.doDivides0 W1 W0)) (or (= W1 tptp.sz10) (= W1 W0))))) (tptp.isPrime0 W0)) (or (and (not (= tptp.sz00 W0)) (not (= tptp.sz10 W0)) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1942 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (tptp.doDivides0 W1 W0)) (= tptp.sz10 W1) (= W0 W1) (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1942)) (not (= W0 (tptp.sdtasdt0 W1 BOUND_VARIABLE_1942)))))) (tptp.isPrime0 W0)))) :rule cong :premises (t45.t20 t45.t21))
% 0.44/0.61 (step t45.t23 (cl (= (and (tptp.aNaturalNumber0 W0) (or (exists ((W1 $$unsorted)) (and (tptp.aNaturalNumber0 W1) (= tptp.xk (tptp.sdtasdt0 W0 W1)))) (tptp.doDivides0 W0 tptp.xk)) (or (and (not (= W0 tptp.sz00)) (not (= W0 tptp.sz10)) (forall ((W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W1) (exists ((W2 $$unsorted)) (and (tptp.aNaturalNumber0 W2) (= W0 (tptp.sdtasdt0 W1 W2)))) (tptp.doDivides0 W1 W0)) (or (= W1 tptp.sz10) (= W1 W0))))) (tptp.isPrime0 W0))) (and (tptp.aNaturalNumber0 W0) (or (not (forall ((W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (= tptp.xk (tptp.sdtasdt0 W0 W1)))))) (tptp.doDivides0 W0 tptp.xk)) (or (and (not (= tptp.sz00 W0)) (not (= tptp.sz10 W0)) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1942 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (tptp.doDivides0 W1 W0)) (= tptp.sz10 W1) (= W0 W1) (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1942)) (not (= W0 (tptp.sdtasdt0 W1 BOUND_VARIABLE_1942)))))) (tptp.isPrime0 W0))))) :rule cong :premises (t45.t2 t45.t8 t45.t22))
% 0.44/0.61 (step t45 (cl (= (exists ((W0 $$unsorted)) (and (tptp.aNaturalNumber0 W0) (or (exists ((W1 $$unsorted)) (and (tptp.aNaturalNumber0 W1) (= tptp.xk (tptp.sdtasdt0 W0 W1)))) (tptp.doDivides0 W0 tptp.xk)) (or (and (not (= W0 tptp.sz00)) (not (= W0 tptp.sz10)) (forall ((W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W1) (exists ((W2 $$unsorted)) (and (tptp.aNaturalNumber0 W2) (= W0 (tptp.sdtasdt0 W1 W2)))) (tptp.doDivides0 W1 W0)) (or (= W1 tptp.sz10) (= W1 W0))))) (tptp.isPrime0 W0)))) (exists ((W0 $$unsorted)) (and (tptp.aNaturalNumber0 W0) (or (not (forall ((W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (= tptp.xk (tptp.sdtasdt0 W0 W1)))))) (tptp.doDivides0 W0 tptp.xk)) (or (and (not (= tptp.sz00 W0)) (not (= tptp.sz10 W0)) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1942 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (tptp.doDivides0 W1 W0)) (= tptp.sz10 W1) (= W0 W1) (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1942)) (not (= W0 (tptp.sdtasdt0 W1 BOUND_VARIABLE_1942)))))) (tptp.isPrime0 W0)))))) :rule bind)
% 0.44/0.61 (step t46 (cl (= (exists ((W0 $$unsorted)) (and (tptp.aNaturalNumber0 W0) (or (not (forall ((W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (= tptp.xk (tptp.sdtasdt0 W0 W1)))))) (tptp.doDivides0 W0 tptp.xk)) (or (and (not (= tptp.sz00 W0)) (not (= tptp.sz10 W0)) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1942 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (tptp.doDivides0 W1 W0)) (= tptp.sz10 W1) (= W0 W1) (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1942)) (not (= W0 (tptp.sdtasdt0 W1 BOUND_VARIABLE_1942)))))) (tptp.isPrime0 W0)))) (not (forall ((W0 $$unsorted)) (not (and (tptp.aNaturalNumber0 W0) (or (not (forall ((W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (= tptp.xk (tptp.sdtasdt0 W0 W1)))))) (tptp.doDivides0 W0 tptp.xk)) (or (and (not (= tptp.sz00 W0)) (not (= tptp.sz10 W0)) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1942 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (tptp.doDivides0 W1 W0)) (= tptp.sz10 W1) (= W0 W1) (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1942)) (not (= W0 (tptp.sdtasdt0 W1 BOUND_VARIABLE_1942)))))) (tptp.isPrime0 W0)))))))) :rule all_simplify)
% 0.44/0.61 (step t47 (cl (= (forall ((W0 $$unsorted)) (not (and (tptp.aNaturalNumber0 W0) (or (not (forall ((W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (= tptp.xk (tptp.sdtasdt0 W0 W1)))))) (tptp.doDivides0 W0 tptp.xk)) (or (and (not (= tptp.sz00 W0)) (not (= tptp.sz10 W0)) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1942 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (tptp.doDivides0 W1 W0)) (= tptp.sz10 W1) (= W0 W1) (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1942)) (not (= W0 (tptp.sdtasdt0 W1 BOUND_VARIABLE_1942)))))) (tptp.isPrime0 W0))))) (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (forall ((W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (= tptp.xk (tptp.sdtasdt0 W0 W1))))) (not (tptp.doDivides0 W0 tptp.xk))) (and (or (= tptp.sz00 W0) (= tptp.sz10 W0) (not (forall ((W1 $$unsorted) (BOUND_VARIABLE_1942 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (tptp.doDivides0 W1 W0)) (= tptp.sz10 W1) (= W0 W1) (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1942)) (not (= W0 (tptp.sdtasdt0 W1 BOUND_VARIABLE_1942))))))) (not (tptp.isPrime0 W0))))))) :rule all_simplify)
% 0.44/0.61 (step t48 (cl (= (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (forall ((W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (= tptp.xk (tptp.sdtasdt0 W0 W1))))) (not (tptp.doDivides0 W0 tptp.xk))) (and (or (= tptp.sz00 W0) (= tptp.sz10 W0) (not (forall ((W1 $$unsorted) (BOUND_VARIABLE_1942 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (tptp.doDivides0 W1 W0)) (= tptp.sz10 W1) (= W0 W1) (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1942)) (not (= W0 (tptp.sdtasdt0 W1 BOUND_VARIABLE_1942))))))) (not (tptp.isPrime0 W0))))) (forall ((W0 $$unsorted) (BOUND_VARIABLE_1974 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (or (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1974)) (not (= tptp.xk (tptp.sdtasdt0 W0 BOUND_VARIABLE_1974)))) (not (tptp.doDivides0 W0 tptp.xk))) (and (or (= tptp.sz00 W0) (= tptp.sz10 W0) (not (forall ((W1 $$unsorted) (BOUND_VARIABLE_1942 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (tptp.doDivides0 W1 W0)) (= tptp.sz10 W1) (= W0 W1) (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1942)) (not (= W0 (tptp.sdtasdt0 W1 BOUND_VARIABLE_1942))))))) (not (tptp.isPrime0 W0))))))) :rule all_simplify)
% 0.44/0.61 (step t49 (cl (= (forall ((W0 $$unsorted)) (not (and (tptp.aNaturalNumber0 W0) (or (not (forall ((W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (= tptp.xk (tptp.sdtasdt0 W0 W1)))))) (tptp.doDivides0 W0 tptp.xk)) (or (and (not (= tptp.sz00 W0)) (not (= tptp.sz10 W0)) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1942 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (tptp.doDivides0 W1 W0)) (= tptp.sz10 W1) (= W0 W1) (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1942)) (not (= W0 (tptp.sdtasdt0 W1 BOUND_VARIABLE_1942)))))) (tptp.isPrime0 W0))))) (forall ((W0 $$unsorted) (BOUND_VARIABLE_1974 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (or (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1974)) (not (= tptp.xk (tptp.sdtasdt0 W0 BOUND_VARIABLE_1974)))) (not (tptp.doDivides0 W0 tptp.xk))) (and (or (= tptp.sz00 W0) (= tptp.sz10 W0) (not (forall ((W1 $$unsorted) (BOUND_VARIABLE_1942 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (tptp.doDivides0 W1 W0)) (= tptp.sz10 W1) (= W0 W1) (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1942)) (not (= W0 (tptp.sdtasdt0 W1 BOUND_VARIABLE_1942))))))) (not (tptp.isPrime0 W0))))))) :rule trans :premises (t47 t48))
% 0.44/0.61 (step t50 (cl (= (not (forall ((W0 $$unsorted)) (not (and (tptp.aNaturalNumber0 W0) (or (not (forall ((W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (= tptp.xk (tptp.sdtasdt0 W0 W1)))))) (tptp.doDivides0 W0 tptp.xk)) (or (and (not (= tptp.sz00 W0)) (not (= tptp.sz10 W0)) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1942 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (tptp.doDivides0 W1 W0)) (= tptp.sz10 W1) (= W0 W1) (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1942)) (not (= W0 (tptp.sdtasdt0 W1 BOUND_VARIABLE_1942)))))) (tptp.isPrime0 W0)))))) (not (forall ((W0 $$unsorted) (BOUND_VARIABLE_1974 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (or (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1974)) (not (= tptp.xk (tptp.sdtasdt0 W0 BOUND_VARIABLE_1974)))) (not (tptp.doDivides0 W0 tptp.xk))) (and (or (= tptp.sz00 W0) (= tptp.sz10 W0) (not (forall ((W1 $$unsorted) (BOUND_VARIABLE_1942 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (tptp.doDivides0 W1 W0)) (= tptp.sz10 W1) (= W0 W1) (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1942)) (not (= W0 (tptp.sdtasdt0 W1 BOUND_VARIABLE_1942))))))) (not (tptp.isPrime0 W0)))))))) :rule cong :premises (t49))
% 0.44/0.61 (step t51 (cl (= (exists ((W0 $$unsorted)) (and (tptp.aNaturalNumber0 W0) (or (not (forall ((W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (= tptp.xk (tptp.sdtasdt0 W0 W1)))))) (tptp.doDivides0 W0 tptp.xk)) (or (and (not (= tptp.sz00 W0)) (not (= tptp.sz10 W0)) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1942 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (tptp.doDivides0 W1 W0)) (= tptp.sz10 W1) (= W0 W1) (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1942)) (not (= W0 (tptp.sdtasdt0 W1 BOUND_VARIABLE_1942)))))) (tptp.isPrime0 W0)))) (not (forall ((W0 $$unsorted) (BOUND_VARIABLE_1974 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (or (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1974)) (not (= tptp.xk (tptp.sdtasdt0 W0 BOUND_VARIABLE_1974)))) (not (tptp.doDivides0 W0 tptp.xk))) (and (or (= tptp.sz00 W0) (= tptp.sz10 W0) (not (forall ((W1 $$unsorted) (BOUND_VARIABLE_1942 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (tptp.doDivides0 W1 W0)) (= tptp.sz10 W1) (= W0 W1) (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1942)) (not (= W0 (tptp.sdtasdt0 W1 BOUND_VARIABLE_1942))))))) (not (tptp.isPrime0 W0)))))))) :rule trans :premises (t46 t50))
% 0.44/0.61 (step t52 (cl (= (exists ((W0 $$unsorted)) (and (tptp.aNaturalNumber0 W0) (or (exists ((W1 $$unsorted)) (and (tptp.aNaturalNumber0 W1) (= tptp.xk (tptp.sdtasdt0 W0 W1)))) (tptp.doDivides0 W0 tptp.xk)) (or (and (not (= W0 tptp.sz00)) (not (= W0 tptp.sz10)) (forall ((W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W1) (exists ((W2 $$unsorted)) (and (tptp.aNaturalNumber0 W2) (= W0 (tptp.sdtasdt0 W1 W2)))) (tptp.doDivides0 W1 W0)) (or (= W1 tptp.sz10) (= W1 W0))))) (tptp.isPrime0 W0)))) (not (forall ((W0 $$unsorted) (BOUND_VARIABLE_1974 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (or (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1974)) (not (= tptp.xk (tptp.sdtasdt0 W0 BOUND_VARIABLE_1974)))) (not (tptp.doDivides0 W0 tptp.xk))) (and (or (= tptp.sz00 W0) (= tptp.sz10 W0) (not (forall ((W1 $$unsorted) (BOUND_VARIABLE_1942 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (tptp.doDivides0 W1 W0)) (= tptp.sz10 W1) (= W0 W1) (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1942)) (not (= W0 (tptp.sdtasdt0 W1 BOUND_VARIABLE_1942))))))) (not (tptp.isPrime0 W0)))))))) :rule trans :premises (t45 t51))
% 0.44/0.61 (step t53 (cl (= (=> (and (forall ((W0 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (or (exists ((W1 $$unsorted)) (and (tptp.aNaturalNumber0 W1) (= tptp.xk (tptp.sdtasdt0 W0 W1)))) (tptp.doDivides0 W0 tptp.xk))) (or (= W0 tptp.sz10) (= W0 tptp.xk)))) (tptp.isPrime0 tptp.xk)) (exists ((W0 $$unsorted)) (and (tptp.aNaturalNumber0 W0) (or (exists ((W1 $$unsorted)) (and (tptp.aNaturalNumber0 W1) (= tptp.xk (tptp.sdtasdt0 W0 W1)))) (tptp.doDivides0 W0 tptp.xk)) (or (and (not (= W0 tptp.sz00)) (not (= W0 tptp.sz10)) (forall ((W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W1) (exists ((W2 $$unsorted)) (and (tptp.aNaturalNumber0 W2) (= W0 (tptp.sdtasdt0 W1 W2)))) (tptp.doDivides0 W1 W0)) (or (= W1 tptp.sz10) (= W1 W0))))) (tptp.isPrime0 W0))))) (=> (and (forall ((W0 $$unsorted) (BOUND_VARIABLE_1896 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (or (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1896)) (not (= tptp.xk (tptp.sdtasdt0 W0 BOUND_VARIABLE_1896)))) (not (tptp.doDivides0 W0 tptp.xk))) (= tptp.sz10 W0) (= tptp.xk W0))) (tptp.isPrime0 tptp.xk)) (not (forall ((W0 $$unsorted) (BOUND_VARIABLE_1974 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (or (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1974)) (not (= tptp.xk (tptp.sdtasdt0 W0 BOUND_VARIABLE_1974)))) (not (tptp.doDivides0 W0 tptp.xk))) (and (or (= tptp.sz00 W0) (= tptp.sz10 W0) (not (forall ((W1 $$unsorted) (BOUND_VARIABLE_1942 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (tptp.doDivides0 W1 W0)) (= tptp.sz10 W1) (= W0 W1) (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1942)) (not (= W0 (tptp.sdtasdt0 W1 BOUND_VARIABLE_1942))))))) (not (tptp.isPrime0 W0))))))))) :rule cong :premises (t44 t52))
% 0.44/0.61 (step t54 (cl (= (not (=> (and (forall ((W0 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (or (exists ((W1 $$unsorted)) (and (tptp.aNaturalNumber0 W1) (= tptp.xk (tptp.sdtasdt0 W0 W1)))) (tptp.doDivides0 W0 tptp.xk))) (or (= W0 tptp.sz10) (= W0 tptp.xk)))) (tptp.isPrime0 tptp.xk)) (exists ((W0 $$unsorted)) (and (tptp.aNaturalNumber0 W0) (or (exists ((W1 $$unsorted)) (and (tptp.aNaturalNumber0 W1) (= tptp.xk (tptp.sdtasdt0 W0 W1)))) (tptp.doDivides0 W0 tptp.xk)) (or (and (not (= W0 tptp.sz00)) (not (= W0 tptp.sz10)) (forall ((W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W1) (exists ((W2 $$unsorted)) (and (tptp.aNaturalNumber0 W2) (= W0 (tptp.sdtasdt0 W1 W2)))) (tptp.doDivides0 W1 W0)) (or (= W1 tptp.sz10) (= W1 W0))))) (tptp.isPrime0 W0)))))) (not (=> (and (forall ((W0 $$unsorted) (BOUND_VARIABLE_1896 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (or (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1896)) (not (= tptp.xk (tptp.sdtasdt0 W0 BOUND_VARIABLE_1896)))) (not (tptp.doDivides0 W0 tptp.xk))) (= tptp.sz10 W0) (= tptp.xk W0))) (tptp.isPrime0 tptp.xk)) (not (forall ((W0 $$unsorted) (BOUND_VARIABLE_1974 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (or (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1974)) (not (= tptp.xk (tptp.sdtasdt0 W0 BOUND_VARIABLE_1974)))) (not (tptp.doDivides0 W0 tptp.xk))) (and (or (= tptp.sz00 W0) (= tptp.sz10 W0) (not (forall ((W1 $$unsorted) (BOUND_VARIABLE_1942 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (tptp.doDivides0 W1 W0)) (= tptp.sz10 W1) (= W0 W1) (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1942)) (not (= W0 (tptp.sdtasdt0 W1 BOUND_VARIABLE_1942))))))) (not (tptp.isPrime0 W0)))))))))) :rule cong :premises (t53))
% 0.44/0.61 (step t55 (cl (not (=> (and (forall ((W0 $$unsorted) (BOUND_VARIABLE_1896 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (or (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1896)) (not (= tptp.xk (tptp.sdtasdt0 W0 BOUND_VARIABLE_1896)))) (not (tptp.doDivides0 W0 tptp.xk))) (= tptp.sz10 W0) (= tptp.xk W0))) (tptp.isPrime0 tptp.xk)) (not (forall ((W0 $$unsorted) (BOUND_VARIABLE_1974 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (or (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1974)) (not (= tptp.xk (tptp.sdtasdt0 W0 BOUND_VARIABLE_1974)))) (not (tptp.doDivides0 W0 tptp.xk))) (and (or (= tptp.sz00 W0) (= tptp.sz10 W0) (not (forall ((W1 $$unsorted) (BOUND_VARIABLE_1942 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (tptp.doDivides0 W1 W0)) (= tptp.sz10 W1) (= W0 W1) (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1942)) (not (= W0 (tptp.sdtasdt0 W1 BOUND_VARIABLE_1942))))))) (not (tptp.isPrime0 W0))))))))) :rule resolution :premises (t37 t54 a40))
% 0.44/0.61 (step t56 (cl (and (forall ((W0 $$unsorted) (BOUND_VARIABLE_1896 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (or (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1896)) (not (= tptp.xk (tptp.sdtasdt0 W0 BOUND_VARIABLE_1896)))) (not (tptp.doDivides0 W0 tptp.xk))) (= tptp.sz10 W0) (= tptp.xk W0))) (tptp.isPrime0 tptp.xk))) :rule not_implies1 :premises (t55))
% 0.44/0.61 (step t57 (cl (tptp.isPrime0 tptp.xk)) :rule and :premises (t56))
% 0.44/0.61 (step t58 (cl (not (and (or (= tptp.sz00 tptp.xk) (= tptp.sz10 tptp.xk) (not (forall ((W1 $$unsorted) (BOUND_VARIABLE_1942 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (tptp.doDivides0 W1 tptp.xk)) (= tptp.sz10 W1) (= tptp.xk W1) (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1942)) (not (= tptp.xk (tptp.sdtasdt0 W1 BOUND_VARIABLE_1942))))))) (not (tptp.isPrime0 tptp.xk))))) :rule resolution :premises (t36 t57))
% 0.44/0.61 (step t59 (cl (=> (forall ((W0 $$unsorted) (BOUND_VARIABLE_1974 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (or (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1974)) (not (= tptp.xk (tptp.sdtasdt0 W0 BOUND_VARIABLE_1974)))) (not (tptp.doDivides0 W0 tptp.xk))) (and (or (= tptp.sz00 W0) (= tptp.sz10 W0) (not (forall ((W1 $$unsorted) (BOUND_VARIABLE_1942 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (tptp.doDivides0 W1 W0)) (= tptp.sz10 W1) (= W0 W1) (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1942)) (not (= W0 (tptp.sdtasdt0 W1 BOUND_VARIABLE_1942))))))) (not (tptp.isPrime0 W0))))) (or (not (tptp.aNaturalNumber0 tptp.xk)) (and (or (not (tptp.aNaturalNumber0 tptp.sz10)) (not (= tptp.xk (tptp.sdtasdt0 tptp.xk tptp.sz10)))) (not (tptp.doDivides0 tptp.xk tptp.xk))) (and (or (= tptp.sz00 tptp.xk) (= tptp.sz10 tptp.xk) (not (forall ((W1 $$unsorted) (BOUND_VARIABLE_1942 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (tptp.doDivides0 W1 tptp.xk)) (= tptp.sz10 W1) (= tptp.xk W1) (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1942)) (not (= tptp.xk (tptp.sdtasdt0 W1 BOUND_VARIABLE_1942))))))) (not (tptp.isPrime0 tptp.xk))))) (forall ((W0 $$unsorted) (BOUND_VARIABLE_1974 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (or (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1974)) (not (= tptp.xk (tptp.sdtasdt0 W0 BOUND_VARIABLE_1974)))) (not (tptp.doDivides0 W0 tptp.xk))) (and (or (= tptp.sz00 W0) (= tptp.sz10 W0) (not (forall ((W1 $$unsorted) (BOUND_VARIABLE_1942 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (tptp.doDivides0 W1 W0)) (= tptp.sz10 W1) (= W0 W1) (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1942)) (not (= W0 (tptp.sdtasdt0 W1 BOUND_VARIABLE_1942))))))) (not (tptp.isPrime0 W0)))))) :rule implies_neg1)
% 0.44/0.61 (anchor :step t60)
% 0.44/0.61 (assume t60.a0 (forall ((W0 $$unsorted) (BOUND_VARIABLE_1974 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (or (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1974)) (not (= tptp.xk (tptp.sdtasdt0 W0 BOUND_VARIABLE_1974)))) (not (tptp.doDivides0 W0 tptp.xk))) (and (or (= tptp.sz00 W0) (= tptp.sz10 W0) (not (forall ((W1 $$unsorted) (BOUND_VARIABLE_1942 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (tptp.doDivides0 W1 W0)) (= tptp.sz10 W1) (= W0 W1) (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1942)) (not (= W0 (tptp.sdtasdt0 W1 BOUND_VARIABLE_1942))))))) (not (tptp.isPrime0 W0))))))
% 0.44/0.61 (step t60.t1 (cl (or (not (forall ((W0 $$unsorted) (BOUND_VARIABLE_1974 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (or (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1974)) (not (= tptp.xk (tptp.sdtasdt0 W0 BOUND_VARIABLE_1974)))) (not (tptp.doDivides0 W0 tptp.xk))) (and (or (= tptp.sz00 W0) (= tptp.sz10 W0) (not (forall ((W1 $$unsorted) (BOUND_VARIABLE_1942 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (tptp.doDivides0 W1 W0)) (= tptp.sz10 W1) (= W0 W1) (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1942)) (not (= W0 (tptp.sdtasdt0 W1 BOUND_VARIABLE_1942))))))) (not (tptp.isPrime0 W0)))))) (or (not (tptp.aNaturalNumber0 tptp.xk)) (and (or (not (tptp.aNaturalNumber0 tptp.sz10)) (not (= tptp.xk (tptp.sdtasdt0 tptp.xk tptp.sz10)))) (not (tptp.doDivides0 tptp.xk tptp.xk))) (and (or (= tptp.sz00 tptp.xk) (= tptp.sz10 tptp.xk) (not (forall ((W1 $$unsorted) (BOUND_VARIABLE_1942 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (tptp.doDivides0 W1 tptp.xk)) (= tptp.sz10 W1) (= tptp.xk W1) (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1942)) (not (= tptp.xk (tptp.sdtasdt0 W1 BOUND_VARIABLE_1942))))))) (not (tptp.isPrime0 tptp.xk)))))) :rule forall_inst :args ((:= W0 tptp.xk) (:= BOUND_VARIABLE_1974 tptp.sz10)))
% 0.44/0.61 (step t60.t2 (cl (not (forall ((W0 $$unsorted) (BOUND_VARIABLE_1974 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (or (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1974)) (not (= tptp.xk (tptp.sdtasdt0 W0 BOUND_VARIABLE_1974)))) (not (tptp.doDivides0 W0 tptp.xk))) (and (or (= tptp.sz00 W0) (= tptp.sz10 W0) (not (forall ((W1 $$unsorted) (BOUND_VARIABLE_1942 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (tptp.doDivides0 W1 W0)) (= tptp.sz10 W1) (= W0 W1) (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1942)) (not (= W0 (tptp.sdtasdt0 W1 BOUND_VARIABLE_1942))))))) (not (tptp.isPrime0 W0)))))) (or (not (tptp.aNaturalNumber0 tptp.xk)) (and (or (not (tptp.aNaturalNumber0 tptp.sz10)) (not (= tptp.xk (tptp.sdtasdt0 tptp.xk tptp.sz10)))) (not (tptp.doDivides0 tptp.xk tptp.xk))) (and (or (= tptp.sz00 tptp.xk) (= tptp.sz10 tptp.xk) (not (forall ((W1 $$unsorted) (BOUND_VARIABLE_1942 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (tptp.doDivides0 W1 tptp.xk)) (= tptp.sz10 W1) (= tptp.xk W1) (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1942)) (not (= tptp.xk (tptp.sdtasdt0 W1 BOUND_VARIABLE_1942))))))) (not (tptp.isPrime0 tptp.xk))))) :rule or :premises (t60.t1))
% 0.44/0.61 (step t60.t3 (cl (or (not (tptp.aNaturalNumber0 tptp.xk)) (and (or (not (tptp.aNaturalNumber0 tptp.sz10)) (not (= tptp.xk (tptp.sdtasdt0 tptp.xk tptp.sz10)))) (not (tptp.doDivides0 tptp.xk tptp.xk))) (and (or (= tptp.sz00 tptp.xk) (= tptp.sz10 tptp.xk) (not (forall ((W1 $$unsorted) (BOUND_VARIABLE_1942 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (tptp.doDivides0 W1 tptp.xk)) (= tptp.sz10 W1) (= tptp.xk W1) (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1942)) (not (= tptp.xk (tptp.sdtasdt0 W1 BOUND_VARIABLE_1942))))))) (not (tptp.isPrime0 tptp.xk))))) :rule resolution :premises (t60.t2 t60.a0))
% 0.44/0.61 (step t60 (cl (not (forall ((W0 $$unsorted) (BOUND_VARIABLE_1974 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (or (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1974)) (not (= tptp.xk (tptp.sdtasdt0 W0 BOUND_VARIABLE_1974)))) (not (tptp.doDivides0 W0 tptp.xk))) (and (or (= tptp.sz00 W0) (= tptp.sz10 W0) (not (forall ((W1 $$unsorted) (BOUND_VARIABLE_1942 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (tptp.doDivides0 W1 W0)) (= tptp.sz10 W1) (= W0 W1) (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1942)) (not (= W0 (tptp.sdtasdt0 W1 BOUND_VARIABLE_1942))))))) (not (tptp.isPrime0 W0)))))) (or (not (tptp.aNaturalNumber0 tptp.xk)) (and (or (not (tptp.aNaturalNumber0 tptp.sz10)) (not (= tptp.xk (tptp.sdtasdt0 tptp.xk tptp.sz10)))) (not (tptp.doDivides0 tptp.xk tptp.xk))) (and (or (= tptp.sz00 tptp.xk) (= tptp.sz10 tptp.xk) (not (forall ((W1 $$unsorted) (BOUND_VARIABLE_1942 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (tptp.doDivides0 W1 tptp.xk)) (= tptp.sz10 W1) (= tptp.xk W1) (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1942)) (not (= tptp.xk (tptp.sdtasdt0 W1 BOUND_VARIABLE_1942))))))) (not (tptp.isPrime0 tptp.xk))))) :rule subproof :discharge (t60.a0))
% 0.44/0.61 (step t61 (cl (=> (forall ((W0 $$unsorted) (BOUND_VARIABLE_1974 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (or (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1974)) (not (= tptp.xk (tptp.sdtasdt0 W0 BOUND_VARIABLE_1974)))) (not (tptp.doDivides0 W0 tptp.xk))) (and (or (= tptp.sz00 W0) (= tptp.sz10 W0) (not (forall ((W1 $$unsorted) (BOUND_VARIABLE_1942 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (tptp.doDivides0 W1 W0)) (= tptp.sz10 W1) (= W0 W1) (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1942)) (not (= W0 (tptp.sdtasdt0 W1 BOUND_VARIABLE_1942))))))) (not (tptp.isPrime0 W0))))) (or (not (tptp.aNaturalNumber0 tptp.xk)) (and (or (not (tptp.aNaturalNumber0 tptp.sz10)) (not (= tptp.xk (tptp.sdtasdt0 tptp.xk tptp.sz10)))) (not (tptp.doDivides0 tptp.xk tptp.xk))) (and (or (= tptp.sz00 tptp.xk) (= tptp.sz10 tptp.xk) (not (forall ((W1 $$unsorted) (BOUND_VARIABLE_1942 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (tptp.doDivides0 W1 tptp.xk)) (= tptp.sz10 W1) (= tptp.xk W1) (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1942)) (not (= tptp.xk (tptp.sdtasdt0 W1 BOUND_VARIABLE_1942))))))) (not (tptp.isPrime0 tptp.xk))))) (or (not (tptp.aNaturalNumber0 tptp.xk)) (and (or (not (tptp.aNaturalNumber0 tptp.sz10)) (not (= tptp.xk (tptp.sdtasdt0 tptp.xk tptp.sz10)))) (not (tptp.doDivides0 tptp.xk tptp.xk))) (and (or (= tptp.sz00 tptp.xk) (= tptp.sz10 tptp.xk) (not (forall ((W1 $$unsorted) (BOUND_VARIABLE_1942 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (tptp.doDivides0 W1 tptp.xk)) (= tptp.sz10 W1) (= tptp.xk W1) (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1942)) (not (= tptp.xk (tptp.sdtasdt0 W1 BOUND_VARIABLE_1942))))))) (not (tptp.isPrime0 tptp.xk))))) :rule resolution :premises (t59 t60))
% 0.44/0.61 (step t62 (cl (=> (forall ((W0 $$unsorted) (BOUND_VARIABLE_1974 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (or (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1974)) (not (= tptp.xk (tptp.sdtasdt0 W0 BOUND_VARIABLE_1974)))) (not (tptp.doDivides0 W0 tptp.xk))) (and (or (= tptp.sz00 W0) (= tptp.sz10 W0) (not (forall ((W1 $$unsorted) (BOUND_VARIABLE_1942 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (tptp.doDivides0 W1 W0)) (= tptp.sz10 W1) (= W0 W1) (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1942)) (not (= W0 (tptp.sdtasdt0 W1 BOUND_VARIABLE_1942))))))) (not (tptp.isPrime0 W0))))) (or (not (tptp.aNaturalNumber0 tptp.xk)) (and (or (not (tptp.aNaturalNumber0 tptp.sz10)) (not (= tptp.xk (tptp.sdtasdt0 tptp.xk tptp.sz10)))) (not (tptp.doDivides0 tptp.xk tptp.xk))) (and (or (= tptp.sz00 tptp.xk) (= tptp.sz10 tptp.xk) (not (forall ((W1 $$unsorted) (BOUND_VARIABLE_1942 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (tptp.doDivides0 W1 tptp.xk)) (= tptp.sz10 W1) (= tptp.xk W1) (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1942)) (not (= tptp.xk (tptp.sdtasdt0 W1 BOUND_VARIABLE_1942))))))) (not (tptp.isPrime0 tptp.xk))))) (not (or (not (tptp.aNaturalNumber0 tptp.xk)) (and (or (not (tptp.aNaturalNumber0 tptp.sz10)) (not (= tptp.xk (tptp.sdtasdt0 tptp.xk tptp.sz10)))) (not (tptp.doDivides0 tptp.xk tptp.xk))) (and (or (= tptp.sz00 tptp.xk) (= tptp.sz10 tptp.xk) (not (forall ((W1 $$unsorted) (BOUND_VARIABLE_1942 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (tptp.doDivides0 W1 tptp.xk)) (= tptp.sz10 W1) (= tptp.xk W1) (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1942)) (not (= tptp.xk (tptp.sdtasdt0 W1 BOUND_VARIABLE_1942))))))) (not (tptp.isPrime0 tptp.xk)))))) :rule implies_neg2)
% 0.44/0.61 (step t63 (cl (=> (forall ((W0 $$unsorted) (BOUND_VARIABLE_1974 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (or (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1974)) (not (= tptp.xk (tptp.sdtasdt0 W0 BOUND_VARIABLE_1974)))) (not (tptp.doDivides0 W0 tptp.xk))) (and (or (= tptp.sz00 W0) (= tptp.sz10 W0) (not (forall ((W1 $$unsorted) (BOUND_VARIABLE_1942 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (tptp.doDivides0 W1 W0)) (= tptp.sz10 W1) (= W0 W1) (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1942)) (not (= W0 (tptp.sdtasdt0 W1 BOUND_VARIABLE_1942))))))) (not (tptp.isPrime0 W0))))) (or (not (tptp.aNaturalNumber0 tptp.xk)) (and (or (not (tptp.aNaturalNumber0 tptp.sz10)) (not (= tptp.xk (tptp.sdtasdt0 tptp.xk tptp.sz10)))) (not (tptp.doDivides0 tptp.xk tptp.xk))) (and (or (= tptp.sz00 tptp.xk) (= tptp.sz10 tptp.xk) (not (forall ((W1 $$unsorted) (BOUND_VARIABLE_1942 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (tptp.doDivides0 W1 tptp.xk)) (= tptp.sz10 W1) (= tptp.xk W1) (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1942)) (not (= tptp.xk (tptp.sdtasdt0 W1 BOUND_VARIABLE_1942))))))) (not (tptp.isPrime0 tptp.xk))))) (=> (forall ((W0 $$unsorted) (BOUND_VARIABLE_1974 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (or (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1974)) (not (= tptp.xk (tptp.sdtasdt0 W0 BOUND_VARIABLE_1974)))) (not (tptp.doDivides0 W0 tptp.xk))) (and (or (= tptp.sz00 W0) (= tptp.sz10 W0) (not (forall ((W1 $$unsorted) (BOUND_VARIABLE_1942 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (tptp.doDivides0 W1 W0)) (= tptp.sz10 W1) (= W0 W1) (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1942)) (not (= W0 (tptp.sdtasdt0 W1 BOUND_VARIABLE_1942))))))) (not (tptp.isPrime0 W0))))) (or (not (tptp.aNaturalNumber0 tptp.xk)) (and (or (not (tptp.aNaturalNumber0 tptp.sz10)) (not (= tptp.xk (tptp.sdtasdt0 tptp.xk tptp.sz10)))) (not (tptp.doDivides0 tptp.xk tptp.xk))) (and (or (= tptp.sz00 tptp.xk) (= tptp.sz10 tptp.xk) (not (forall ((W1 $$unsorted) (BOUND_VARIABLE_1942 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (tptp.doDivides0 W1 tptp.xk)) (= tptp.sz10 W1) (= tptp.xk W1) (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1942)) (not (= tptp.xk (tptp.sdtasdt0 W1 BOUND_VARIABLE_1942))))))) (not (tptp.isPrime0 tptp.xk)))))) :rule resolution :premises (t61 t62))
% 0.44/0.61 (step t64 (cl (=> (forall ((W0 $$unsorted) (BOUND_VARIABLE_1974 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (or (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1974)) (not (= tptp.xk (tptp.sdtasdt0 W0 BOUND_VARIABLE_1974)))) (not (tptp.doDivides0 W0 tptp.xk))) (and (or (= tptp.sz00 W0) (= tptp.sz10 W0) (not (forall ((W1 $$unsorted) (BOUND_VARIABLE_1942 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (tptp.doDivides0 W1 W0)) (= tptp.sz10 W1) (= W0 W1) (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1942)) (not (= W0 (tptp.sdtasdt0 W1 BOUND_VARIABLE_1942))))))) (not (tptp.isPrime0 W0))))) (or (not (tptp.aNaturalNumber0 tptp.xk)) (and (or (not (tptp.aNaturalNumber0 tptp.sz10)) (not (= tptp.xk (tptp.sdtasdt0 tptp.xk tptp.sz10)))) (not (tptp.doDivides0 tptp.xk tptp.xk))) (and (or (= tptp.sz00 tptp.xk) (= tptp.sz10 tptp.xk) (not (forall ((W1 $$unsorted) (BOUND_VARIABLE_1942 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (tptp.doDivides0 W1 tptp.xk)) (= tptp.sz10 W1) (= tptp.xk W1) (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1942)) (not (= tptp.xk (tptp.sdtasdt0 W1 BOUND_VARIABLE_1942))))))) (not (tptp.isPrime0 tptp.xk)))))) :rule contraction :premises (t63))
% 0.44/0.61 (step t65 (cl (not (forall ((W0 $$unsorted) (BOUND_VARIABLE_1974 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (or (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1974)) (not (= tptp.xk (tptp.sdtasdt0 W0 BOUND_VARIABLE_1974)))) (not (tptp.doDivides0 W0 tptp.xk))) (and (or (= tptp.sz00 W0) (= tptp.sz10 W0) (not (forall ((W1 $$unsorted) (BOUND_VARIABLE_1942 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (tptp.doDivides0 W1 W0)) (= tptp.sz10 W1) (= W0 W1) (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1942)) (not (= W0 (tptp.sdtasdt0 W1 BOUND_VARIABLE_1942))))))) (not (tptp.isPrime0 W0)))))) (or (not (tptp.aNaturalNumber0 tptp.xk)) (and (or (not (tptp.aNaturalNumber0 tptp.sz10)) (not (= tptp.xk (tptp.sdtasdt0 tptp.xk tptp.sz10)))) (not (tptp.doDivides0 tptp.xk tptp.xk))) (and (or (= tptp.sz00 tptp.xk) (= tptp.sz10 tptp.xk) (not (forall ((W1 $$unsorted) (BOUND_VARIABLE_1942 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (tptp.doDivides0 W1 tptp.xk)) (= tptp.sz10 W1) (= tptp.xk W1) (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1942)) (not (= tptp.xk (tptp.sdtasdt0 W1 BOUND_VARIABLE_1942))))))) (not (tptp.isPrime0 tptp.xk))))) :rule implies :premises (t64))
% 0.44/0.61 (step t66 (cl (not (not (not (forall ((W0 $$unsorted) (BOUND_VARIABLE_1974 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (or (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1974)) (not (= tptp.xk (tptp.sdtasdt0 W0 BOUND_VARIABLE_1974)))) (not (tptp.doDivides0 W0 tptp.xk))) (and (or (= tptp.sz00 W0) (= tptp.sz10 W0) (not (forall ((W1 $$unsorted) (BOUND_VARIABLE_1942 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (tptp.doDivides0 W1 W0)) (= tptp.sz10 W1) (= W0 W1) (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1942)) (not (= W0 (tptp.sdtasdt0 W1 BOUND_VARIABLE_1942))))))) (not (tptp.isPrime0 W0)))))))) (forall ((W0 $$unsorted) (BOUND_VARIABLE_1974 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (or (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1974)) (not (= tptp.xk (tptp.sdtasdt0 W0 BOUND_VARIABLE_1974)))) (not (tptp.doDivides0 W0 tptp.xk))) (and (or (= tptp.sz00 W0) (= tptp.sz10 W0) (not (forall ((W1 $$unsorted) (BOUND_VARIABLE_1942 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (tptp.doDivides0 W1 W0)) (= tptp.sz10 W1) (= W0 W1) (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1942)) (not (= W0 (tptp.sdtasdt0 W1 BOUND_VARIABLE_1942))))))) (not (tptp.isPrime0 W0)))))) :rule not_not)
% 0.44/0.61 (step t67 (cl (not (not (forall ((W0 $$unsorted) (BOUND_VARIABLE_1974 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (or (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1974)) (not (= tptp.xk (tptp.sdtasdt0 W0 BOUND_VARIABLE_1974)))) (not (tptp.doDivides0 W0 tptp.xk))) (and (or (= tptp.sz00 W0) (= tptp.sz10 W0) (not (forall ((W1 $$unsorted) (BOUND_VARIABLE_1942 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (tptp.doDivides0 W1 W0)) (= tptp.sz10 W1) (= W0 W1) (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1942)) (not (= W0 (tptp.sdtasdt0 W1 BOUND_VARIABLE_1942))))))) (not (tptp.isPrime0 W0)))))))) :rule not_implies2 :premises (t55))
% 0.44/0.61 (step t68 (cl (forall ((W0 $$unsorted) (BOUND_VARIABLE_1974 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (or (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1974)) (not (= tptp.xk (tptp.sdtasdt0 W0 BOUND_VARIABLE_1974)))) (not (tptp.doDivides0 W0 tptp.xk))) (and (or (= tptp.sz00 W0) (= tptp.sz10 W0) (not (forall ((W1 $$unsorted) (BOUND_VARIABLE_1942 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (tptp.doDivides0 W1 W0)) (= tptp.sz10 W1) (= W0 W1) (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1942)) (not (= W0 (tptp.sdtasdt0 W1 BOUND_VARIABLE_1942))))))) (not (tptp.isPrime0 W0)))))) :rule resolution :premises (t66 t67))
% 0.44/0.61 (step t69 (cl (or (not (tptp.aNaturalNumber0 tptp.xk)) (and (or (not (tptp.aNaturalNumber0 tptp.sz10)) (not (= tptp.xk (tptp.sdtasdt0 tptp.xk tptp.sz10)))) (not (tptp.doDivides0 tptp.xk tptp.xk))) (and (or (= tptp.sz00 tptp.xk) (= tptp.sz10 tptp.xk) (not (forall ((W1 $$unsorted) (BOUND_VARIABLE_1942 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (tptp.doDivides0 W1 tptp.xk)) (= tptp.sz10 W1) (= tptp.xk W1) (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1942)) (not (= tptp.xk (tptp.sdtasdt0 W1 BOUND_VARIABLE_1942))))))) (not (tptp.isPrime0 tptp.xk))))) :rule resolution :premises (t65 t68))
% 0.44/0.61 (step t70 (cl) :rule resolution :premises (t2 t34 t58 t69 a37))
% 0.44/0.61
% 0.44/0.61 % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.4J1xSikmGA/cvc5---1.0.5_26884.smt2
% 0.44/0.61 % cvc5---1.0.5 exiting
% 0.44/0.62 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------