%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN559-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.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 01:48:06 PM UTC 2026
% Result : Unsatisfiable 0.20s 0.29s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN559-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.17 % Computer : n013.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Mon Sep 28 16:28:06 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.29 Command-line arguments: --lhs-weight 9 --flip-ordering --complete-subsets --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 0.20/0.29
% 0.20/0.29 % SZS status Unsatisfiable
% 0.20/0.29
% 0.20/0.29 % SZS output start Proof
% 0.20/0.30 Axiom 1 (p2_1): p2(X, X) = true.
% 0.20/0.30 Axiom 2 (p8_2): p8(c13, c9) = true.
% 0.20/0.30 Axiom 3 (p7_3): p7(c10, c13) = true.
% 0.20/0.30 Axiom 4 (p2_6): p2(f3(f4(c11), c12), c15) = true.
% 0.20/0.30 Axiom 5 (p2_4): p2(f6(c9, c13), c14) = true.
% 0.20/0.30 Axiom 6 (p2_5): p2(f5(c14, c10), c15) = true.
% 0.20/0.30 Axiom 7 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.20/0.30 Axiom 8 (p2_8): ifeq(p2(X, Y), true, ifeq(p2(X, Z), true, p2(Z, Y), true), true) = true.
% 0.20/0.30
% 0.20/0.30 Goal 1 (not_p8_14): tuple(p2(f6(c9, X), Y), p2(f5(Y, c10), f3(f4(c11), c12)), p8(X, c9), p7(c10, X)) = tuple(true, true, true, true).
% 0.20/0.30 The goal is true when:
% 0.20/0.30 X = c13
% 0.20/0.30 Y = c14
% 0.20/0.30
% 0.20/0.30 Proof:
% 0.20/0.30 tuple(p2(f6(c9, c13), c14), p2(f5(c14, c10), f3(f4(c11), c12)), p8(c13, c9), p7(c10, c13))
% 0.20/0.30 = { by axiom 5 (p2_4) }
% 0.20/0.30 tuple(true, p2(f5(c14, c10), f3(f4(c11), c12)), p8(c13, c9), p7(c10, c13))
% 0.20/0.30 = { by axiom 7 (ifeq_axiom) R->L }
% 0.20/0.30 tuple(true, ifeq(true, true, p2(f5(c14, c10), f3(f4(c11), c12)), true), p8(c13, c9), p7(c10, c13))
% 0.20/0.30 = { by axiom 8 (p2_8) R->L }
% 0.20/0.30 tuple(true, ifeq(ifeq(p2(f5(c14, c10), f5(c14, c10)), true, ifeq(p2(f5(c14, c10), c15), true, p2(c15, f5(c14, c10)), true), true), true, p2(f5(c14, c10), f3(f4(c11), c12)), true), p8(c13, c9), p7(c10, c13))
% 0.20/0.30 = { by axiom 1 (p2_1) }
% 0.20/0.30 tuple(true, ifeq(ifeq(true, true, ifeq(p2(f5(c14, c10), c15), true, p2(c15, f5(c14, c10)), true), true), true, p2(f5(c14, c10), f3(f4(c11), c12)), true), p8(c13, c9), p7(c10, c13))
% 0.20/0.30 = { by axiom 7 (ifeq_axiom) }
% 0.20/0.30 tuple(true, ifeq(ifeq(p2(f5(c14, c10), c15), true, p2(c15, f5(c14, c10)), true), true, p2(f5(c14, c10), f3(f4(c11), c12)), true), p8(c13, c9), p7(c10, c13))
% 0.20/0.30 = { by axiom 6 (p2_5) }
% 0.20/0.30 tuple(true, ifeq(ifeq(true, true, p2(c15, f5(c14, c10)), true), true, p2(f5(c14, c10), f3(f4(c11), c12)), true), p8(c13, c9), p7(c10, c13))
% 0.20/0.30 = { by axiom 7 (ifeq_axiom) }
% 0.20/0.30 tuple(true, ifeq(p2(c15, f5(c14, c10)), true, p2(f5(c14, c10), f3(f4(c11), c12)), true), p8(c13, c9), p7(c10, c13))
% 0.20/0.30 = { by axiom 7 (ifeq_axiom) R->L }
% 0.20/0.30 tuple(true, ifeq(true, true, ifeq(p2(c15, f5(c14, c10)), true, p2(f5(c14, c10), f3(f4(c11), c12)), true), true), p8(c13, c9), p7(c10, c13))
% 0.20/0.30 = { by axiom 8 (p2_8) R->L }
% 0.20/0.30 tuple(true, ifeq(ifeq(p2(f3(f4(c11), c12), f3(f4(c11), c12)), true, ifeq(p2(f3(f4(c11), c12), c15), true, p2(c15, f3(f4(c11), c12)), true), true), true, ifeq(p2(c15, f5(c14, c10)), true, p2(f5(c14, c10), f3(f4(c11), c12)), true), true), p8(c13, c9), p7(c10, c13))
% 0.20/0.30 = { by axiom 1 (p2_1) }
% 0.20/0.30 tuple(true, ifeq(ifeq(true, true, ifeq(p2(f3(f4(c11), c12), c15), true, p2(c15, f3(f4(c11), c12)), true), true), true, ifeq(p2(c15, f5(c14, c10)), true, p2(f5(c14, c10), f3(f4(c11), c12)), true), true), p8(c13, c9), p7(c10, c13))
% 0.20/0.30 = { by axiom 7 (ifeq_axiom) }
% 0.20/0.30 tuple(true, ifeq(ifeq(p2(f3(f4(c11), c12), c15), true, p2(c15, f3(f4(c11), c12)), true), true, ifeq(p2(c15, f5(c14, c10)), true, p2(f5(c14, c10), f3(f4(c11), c12)), true), true), p8(c13, c9), p7(c10, c13))
% 0.20/0.30 = { by axiom 4 (p2_6) }
% 0.20/0.30 tuple(true, ifeq(ifeq(true, true, p2(c15, f3(f4(c11), c12)), true), true, ifeq(p2(c15, f5(c14, c10)), true, p2(f5(c14, c10), f3(f4(c11), c12)), true), true), p8(c13, c9), p7(c10, c13))
% 0.20/0.30 = { by axiom 7 (ifeq_axiom) }
% 0.20/0.30 tuple(true, ifeq(p2(c15, f3(f4(c11), c12)), true, ifeq(p2(c15, f5(c14, c10)), true, p2(f5(c14, c10), f3(f4(c11), c12)), true), true), p8(c13, c9), p7(c10, c13))
% 0.20/0.30 = { by axiom 8 (p2_8) }
% 0.20/0.30 tuple(true, true, p8(c13, c9), p7(c10, c13))
% 0.20/0.30 = { by axiom 2 (p8_2) }
% 0.20/0.30 tuple(true, true, true, p7(c10, c13))
% 0.20/0.30 = { by axiom 3 (p7_3) }
% 0.20/0.30 tuple(true, true, true, true)
% 0.20/0.30 % SZS output end Proof
% 0.20/0.30
% 0.20/0.30 RESULT: Unsatisfiable (the axioms are contradictory).
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