%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN602-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.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 01:48:10 PM UTC 2026
% Result : Unsatisfiable 67.93s 8.86s
% Output : Proof 67.93s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN602-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.19 % Computer : n015.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 16:36:31 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 67.93/8.86 Command-line arguments: --lhs-weight 9 --flip-ordering --complete-subsets --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 67.93/8.86
% 67.93/8.86 % SZS status Unsatisfiable
% 67.93/8.86
% 67.93/8.86 % SZS output start Proof
% 67.93/8.86 Axiom 1 (p2_2): p2(X, X) = true.
% 67.93/8.86 Axiom 2 (p15_3): p15(c22, c21) = true.
% 67.93/8.86 Axiom 3 (p2_4): p2(f3(c18), c19) = true.
% 67.93/8.86 Axiom 4 (p2_5): p2(c22, f9(c20, c23)) = true.
% 67.93/8.86 Axiom 5 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 67.93/8.86 Axiom 6 (p2_16): p2(f7(f8(c21, c22), c20), f6(f5(c18), f3(c18))) = true.
% 67.93/8.86 Axiom 7 (p2_14): ifeq(p2(X, Y), true, ifeq(p2(X, Z), true, p2(Z, Y), true), true) = true.
% 67.93/8.86 Axiom 8 (p2_21): ifeq(p2(X, Y), true, ifeq(p2(Z, W), true, p2(f6(Z, X), f6(W, Y)), true), true) = true.
% 67.93/8.86
% 67.93/8.86 Goal 1 (not_p15_26): tuple(p2(X, f9(c20, Y)), p2(f7(f8(c21, X), c20), f6(f5(c18), c19)), p15(X, c21)) = tuple(true, true, true).
% 67.93/8.86 The goal is true when:
% 67.93/8.86 X = c22
% 67.93/8.86 Y = c23
% 67.93/8.86
% 67.93/8.86 Proof:
% 67.93/8.86 tuple(p2(c22, f9(c20, c23)), p2(f7(f8(c21, c22), c20), f6(f5(c18), c19)), p15(c22, c21))
% 67.93/8.86 = { by axiom 4 (p2_5) }
% 67.93/8.86 tuple(true, p2(f7(f8(c21, c22), c20), f6(f5(c18), c19)), p15(c22, c21))
% 67.93/8.86 = { by axiom 2 (p15_3) }
% 67.93/8.86 tuple(true, p2(f7(f8(c21, c22), c20), f6(f5(c18), c19)), true)
% 67.93/8.86 = { by axiom 5 (ifeq_axiom) R->L }
% 67.93/8.86 tuple(true, ifeq(true, true, p2(f7(f8(c21, c22), c20), f6(f5(c18), c19)), true), true)
% 67.93/8.86 = { by axiom 7 (p2_14) R->L }
% 67.93/8.86 tuple(true, ifeq(ifeq(p2(f7(f8(c21, c22), c20), f7(f8(c21, c22), c20)), true, ifeq(p2(f7(f8(c21, c22), c20), f6(f5(c18), f3(c18))), true, p2(f6(f5(c18), f3(c18)), f7(f8(c21, c22), c20)), true), true), true, p2(f7(f8(c21, c22), c20), f6(f5(c18), c19)), true), true)
% 67.93/8.86 = { by axiom 1 (p2_2) }
% 67.93/8.86 tuple(true, ifeq(ifeq(true, true, ifeq(p2(f7(f8(c21, c22), c20), f6(f5(c18), f3(c18))), true, p2(f6(f5(c18), f3(c18)), f7(f8(c21, c22), c20)), true), true), true, p2(f7(f8(c21, c22), c20), f6(f5(c18), c19)), true), true)
% 67.93/8.86 = { by axiom 5 (ifeq_axiom) }
% 67.93/8.86 tuple(true, ifeq(ifeq(p2(f7(f8(c21, c22), c20), f6(f5(c18), f3(c18))), true, p2(f6(f5(c18), f3(c18)), f7(f8(c21, c22), c20)), true), true, p2(f7(f8(c21, c22), c20), f6(f5(c18), c19)), true), true)
% 67.93/8.86 = { by axiom 6 (p2_16) }
% 67.93/8.86 tuple(true, ifeq(ifeq(true, true, p2(f6(f5(c18), f3(c18)), f7(f8(c21, c22), c20)), true), true, p2(f7(f8(c21, c22), c20), f6(f5(c18), c19)), true), true)
% 67.93/8.86 = { by axiom 5 (ifeq_axiom) }
% 67.93/8.86 tuple(true, ifeq(p2(f6(f5(c18), f3(c18)), f7(f8(c21, c22), c20)), true, p2(f7(f8(c21, c22), c20), f6(f5(c18), c19)), true), true)
% 67.93/8.86 = { by axiom 5 (ifeq_axiom) R->L }
% 67.93/8.86 tuple(true, ifeq(true, true, ifeq(p2(f6(f5(c18), f3(c18)), f7(f8(c21, c22), c20)), true, p2(f7(f8(c21, c22), c20), f6(f5(c18), c19)), true), true), true)
% 67.93/8.86 = { by axiom 8 (p2_21) R->L }
% 67.93/8.86 tuple(true, ifeq(ifeq(p2(f3(c18), c19), true, ifeq(p2(f5(c18), f5(c18)), true, p2(f6(f5(c18), f3(c18)), f6(f5(c18), c19)), true), true), true, ifeq(p2(f6(f5(c18), f3(c18)), f7(f8(c21, c22), c20)), true, p2(f7(f8(c21, c22), c20), f6(f5(c18), c19)), true), true), true)
% 67.93/8.86 = { by axiom 1 (p2_2) }
% 67.93/8.86 tuple(true, ifeq(ifeq(p2(f3(c18), c19), true, ifeq(true, true, p2(f6(f5(c18), f3(c18)), f6(f5(c18), c19)), true), true), true, ifeq(p2(f6(f5(c18), f3(c18)), f7(f8(c21, c22), c20)), true, p2(f7(f8(c21, c22), c20), f6(f5(c18), c19)), true), true), true)
% 67.93/8.86 = { by axiom 5 (ifeq_axiom) }
% 67.93/8.87 tuple(true, ifeq(ifeq(p2(f3(c18), c19), true, p2(f6(f5(c18), f3(c18)), f6(f5(c18), c19)), true), true, ifeq(p2(f6(f5(c18), f3(c18)), f7(f8(c21, c22), c20)), true, p2(f7(f8(c21, c22), c20), f6(f5(c18), c19)), true), true), true)
% 67.93/8.87 = { by axiom 3 (p2_4) }
% 67.93/8.87 tuple(true, ifeq(ifeq(true, true, p2(f6(f5(c18), f3(c18)), f6(f5(c18), c19)), true), true, ifeq(p2(f6(f5(c18), f3(c18)), f7(f8(c21, c22), c20)), true, p2(f7(f8(c21, c22), c20), f6(f5(c18), c19)), true), true), true)
% 67.93/8.87 = { by axiom 5 (ifeq_axiom) }
% 67.93/8.87 tuple(true, ifeq(p2(f6(f5(c18), f3(c18)), f6(f5(c18), c19)), true, ifeq(p2(f6(f5(c18), f3(c18)), f7(f8(c21, c22), c20)), true, p2(f7(f8(c21, c22), c20), f6(f5(c18), c19)), true), true), true)
% 67.93/8.87 = { by axiom 7 (p2_14) }
% 67.93/8.87 tuple(true, true, true)
% 67.93/8.87 % SZS output end Proof
% 67.93/8.87
% 67.93/8.87 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------