%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SWX190-1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:45:31 PM UTC 2026
% Result : Unsatisfiable 57.21s 7.52s
% Output : Proof 57.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWX190-1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.21 % Computer : n009.cluster.edu
% 0.08/0.21 % Model : x86_64 x86_64
% 0.08/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.21 % Memory : 8046.5625MB
% 0.08/0.21 % OS : Linux 6.8.0-71-generic
% 0.08/0.21 % CPULimit : 300
% 0.08/0.21 % WCLimit : 300
% 0.08/0.21 % DateTime : Mon Sep 28 15:07:44 UTC 2026
% 0.08/0.21 % CPUTime :
% 0.08/0.21 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 57.21/7.52 Command-line arguments: --lhs-weight 1 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10 --complete-subsets --ground-joining-incomplete-limit 15 --flatten-regeneralise
% 57.21/7.52
% 57.21/7.52 % SZS status Unsatisfiable
% 57.21/7.52
% 57.21/7.53 % SZS output start Proof
% 57.21/7.53 Axiom 1 (axiom_043): d(n(X)) = n(z).
% 57.21/7.53 Axiom 2 (axiom_046): d(x2) = n(s(z)).
% 57.21/7.53 Axiom 3 (axiom_048): addNat(z, X) = X.
% 57.21/7.53 Axiom 4 (axiom_088): eq3(X, X) = btrue.
% 57.21/7.53 Axiom 5 (axiom_006): fail1(n(X), n(Y)) = n(addNat(X, Y)).
% 57.21/7.53 Axiom 6 (axiom_052): opt(x(n(z), X)) = X.
% 57.21/7.53 Axiom 7 (axiom_013): fail(X, n(s(Y))) = fail1(X, n(s(Y))).
% 57.21/7.53 Axiom 8 (axiom_047): addNat(s(X), Y) = s(addNat(X, Y)).
% 57.21/7.53 Axiom 9 (axiom_044): d(x(X, Y)) = x(d(X), d(Y)).
% 57.21/7.53 Axiom 10 (axiom_074): eq2(x(X, Y), n(Z)) = bfalse.
% 57.21/7.53 Axiom 11 (axiom_051): opt(x(n(s(X)), Y)) = fail(n(s(X)), Y).
% 57.21/7.53 Axiom 12 (axiom_063): prop4(X) = eq2(opt(d(X)), opt(d(opt(X)))).
% 57.21/7.53
% 57.21/7.53 Goal 1 (goal): eq3(prop4(X), bfalse) = btrue.
% 57.21/7.53 The goal is true when:
% 57.21/7.53 X = x(n(z), x(x2, x2))
% 57.21/7.53
% 57.21/7.53 Proof:
% 57.21/7.53 eq3(prop4(x(n(z), x(x2, x2))), bfalse)
% 57.21/7.53 = { by axiom 12 (axiom_063) }
% 57.21/7.53 eq3(eq2(opt(d(x(n(z), x(x2, x2)))), opt(d(opt(x(n(z), x(x2, x2)))))), bfalse)
% 57.21/7.53 = { by axiom 6 (axiom_052) }
% 57.21/7.53 eq3(eq2(opt(d(x(n(z), x(x2, x2)))), opt(d(x(x2, x2)))), bfalse)
% 57.21/7.53 = { by axiom 9 (axiom_044) }
% 57.21/7.53 eq3(eq2(opt(x(d(n(z)), d(x(x2, x2)))), opt(d(x(x2, x2)))), bfalse)
% 57.21/7.53 = { by axiom 1 (axiom_043) }
% 57.21/7.53 eq3(eq2(opt(x(n(z), d(x(x2, x2)))), opt(d(x(x2, x2)))), bfalse)
% 57.21/7.53 = { by axiom 6 (axiom_052) }
% 57.21/7.53 eq3(eq2(d(x(x2, x2)), opt(d(x(x2, x2)))), bfalse)
% 57.21/7.53 = { by axiom 9 (axiom_044) }
% 57.21/7.53 eq3(eq2(d(x(x2, x2)), opt(x(d(x2), d(x2)))), bfalse)
% 57.21/7.53 = { by axiom 2 (axiom_046) }
% 57.21/7.53 eq3(eq2(d(x(x2, x2)), opt(x(n(s(z)), d(x2)))), bfalse)
% 57.21/7.53 = { by axiom 11 (axiom_051) }
% 57.21/7.53 eq3(eq2(d(x(x2, x2)), fail(n(s(z)), d(x2))), bfalse)
% 57.21/7.53 = { by axiom 2 (axiom_046) R->L }
% 57.21/7.53 eq3(eq2(d(x(x2, x2)), fail(d(x2), d(x2))), bfalse)
% 57.21/7.53 = { by axiom 2 (axiom_046) }
% 57.21/7.53 eq3(eq2(d(x(x2, x2)), fail(d(x2), n(s(z)))), bfalse)
% 57.21/7.53 = { by axiom 7 (axiom_013) }
% 57.21/7.53 eq3(eq2(d(x(x2, x2)), fail1(d(x2), n(s(z)))), bfalse)
% 57.21/7.53 = { by axiom 2 (axiom_046) }
% 57.21/7.53 eq3(eq2(d(x(x2, x2)), fail1(n(s(z)), n(s(z)))), bfalse)
% 57.21/7.53 = { by axiom 5 (axiom_006) }
% 57.21/7.53 eq3(eq2(d(x(x2, x2)), n(addNat(s(z), s(z)))), bfalse)
% 57.21/7.53 = { by axiom 8 (axiom_047) }
% 57.21/7.53 eq3(eq2(d(x(x2, x2)), n(s(addNat(z, s(z))))), bfalse)
% 57.21/7.53 = { by axiom 3 (axiom_048) }
% 57.21/7.53 eq3(eq2(d(x(x2, x2)), n(s(s(z)))), bfalse)
% 57.21/7.53 = { by axiom 9 (axiom_044) }
% 57.21/7.53 eq3(eq2(x(d(x2), d(x2)), n(s(s(z)))), bfalse)
% 57.21/7.53 = { by axiom 10 (axiom_074) }
% 57.21/7.53 eq3(bfalse, bfalse)
% 57.21/7.53 = { by axiom 4 (axiom_088) }
% 57.21/7.53 btrue
% 57.21/7.53 % SZS output end Proof
% 57.21/7.53
% 57.21/7.53 RESULT: Unsatisfiable (the axioms are contradictory).
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