%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN566-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.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 01:48:07 PM UTC 2026
% Result : Unsatisfiable 0.22s 0.33s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN566-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.18 % Computer : n019.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 16:29:03 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.33 Command-line arguments: --lhs-weight 1 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10 --complete-subsets --ground-joining-incomplete-limit 15 --flatten-every 2
% 0.22/0.33
% 0.22/0.33 % SZS status Unsatisfiable
% 0.22/0.33
% 0.22/0.35 % SZS output start Proof
% 0.22/0.35 Axiom 1 (p2_2): p2(X, X) = true.
% 0.22/0.35 Axiom 2 (p3_3): p3(X, X) = true.
% 0.22/0.35 Axiom 3 (p3_8): p3(c13, f4(c14)) = true.
% 0.22/0.35 Axiom 4 (p8_6): p8(c12, c13) = true.
% 0.22/0.35 Axiom 5 (p7_4): p7(X, X) = true.
% 0.22/0.35 Axiom 6 (p10_5): p10(c15, c11) = true.
% 0.22/0.35 Axiom 7 (p2_7): p2(c14, f6(c15)) = true.
% 0.22/0.35 Axiom 8 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.22/0.35 Axiom 9 (p3_9): ifeq(p2(X, Y), true, p3(f4(X), f4(Y)), true) = true.
% 0.22/0.35 Axiom 10 (p8_16): ifeq(p8(X, f4(f6(Y))), true, p8(X, f4(f5(Y))), true) = true.
% 0.22/0.35 Axiom 11 (p3_14): ifeq(p3(X, Y), true, ifeq(p3(X, Z), true, p3(Z, Y), true), true) = true.
% 0.22/0.35 Axiom 12 (p8_18): ifeq(p8(X, Y), true, ifeq(p7(X, Z), true, ifeq(p3(Y, W), true, p8(Z, W), true), true), true) = true.
% 0.22/0.35
% 0.22/0.35 Goal 1 (not_p10_19): tuple(p2(X, f5(Y)), p3(Z, f4(X)), p10(Y, c11), p8(c12, Z)) = tuple(true, true, true, true).
% 0.22/0.35 The goal is true when:
% 0.22/0.35 X = f5(c15)
% 0.22/0.35 Y = c15
% 0.22/0.35 Z = f4(f5(c15))
% 0.22/0.35
% 0.22/0.35 Proof:
% 0.22/0.35 tuple(p2(f5(c15), f5(c15)), p3(f4(f5(c15)), f4(f5(c15))), p10(c15, c11), p8(c12, f4(f5(c15))))
% 0.22/0.35 = { by axiom 1 (p2_2) }
% 0.22/0.35 tuple(true, p3(f4(f5(c15)), f4(f5(c15))), p10(c15, c11), p8(c12, f4(f5(c15))))
% 0.22/0.35 = { by axiom 2 (p3_3) }
% 0.22/0.35 tuple(true, true, p10(c15, c11), p8(c12, f4(f5(c15))))
% 0.22/0.35 = { by axiom 6 (p10_5) }
% 0.22/0.35 tuple(true, true, true, p8(c12, f4(f5(c15))))
% 0.22/0.35 = { by axiom 8 (ifeq_axiom) R->L }
% 0.22/0.35 tuple(true, true, true, ifeq(true, true, p8(c12, f4(f5(c15))), true))
% 0.22/0.35 = { by axiom 12 (p8_18) R->L }
% 0.22/0.35 tuple(true, true, true, ifeq(ifeq(p8(c12, c13), true, ifeq(p7(c12, c12), true, ifeq(p3(c13, f4(f6(c15))), true, p8(c12, f4(f6(c15))), true), true), true), true, p8(c12, f4(f5(c15))), true))
% 0.22/0.35 = { by axiom 5 (p7_4) }
% 0.22/0.35 tuple(true, true, true, ifeq(ifeq(p8(c12, c13), true, ifeq(true, true, ifeq(p3(c13, f4(f6(c15))), true, p8(c12, f4(f6(c15))), true), true), true), true, p8(c12, f4(f5(c15))), true))
% 0.22/0.35 = { by axiom 8 (ifeq_axiom) }
% 0.22/0.35 tuple(true, true, true, ifeq(ifeq(p8(c12, c13), true, ifeq(p3(c13, f4(f6(c15))), true, p8(c12, f4(f6(c15))), true), true), true, p8(c12, f4(f5(c15))), true))
% 0.22/0.35 = { by axiom 4 (p8_6) }
% 0.22/0.35 tuple(true, true, true, ifeq(ifeq(true, true, ifeq(p3(c13, f4(f6(c15))), true, p8(c12, f4(f6(c15))), true), true), true, p8(c12, f4(f5(c15))), true))
% 0.22/0.35 = { by axiom 8 (ifeq_axiom) }
% 0.22/0.35 tuple(true, true, true, ifeq(ifeq(p3(c13, f4(f6(c15))), true, p8(c12, f4(f6(c15))), true), true, p8(c12, f4(f5(c15))), true))
% 0.22/0.35 = { by axiom 8 (ifeq_axiom) R->L }
% 0.22/0.35 tuple(true, true, true, ifeq(ifeq(ifeq(true, true, p3(c13, f4(f6(c15))), true), true, p8(c12, f4(f6(c15))), true), true, p8(c12, f4(f5(c15))), true))
% 0.22/0.35 = { by axiom 11 (p3_14) R->L }
% 0.22/0.35 tuple(true, true, true, ifeq(ifeq(ifeq(ifeq(p3(c13, c13), true, ifeq(p3(c13, f4(c14)), true, p3(f4(c14), c13), true), true), true, p3(c13, f4(f6(c15))), true), true, p8(c12, f4(f6(c15))), true), true, p8(c12, f4(f5(c15))), true))
% 0.22/0.35 = { by axiom 2 (p3_3) }
% 0.22/0.35 tuple(true, true, true, ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p3(c13, f4(c14)), true, p3(f4(c14), c13), true), true), true, p3(c13, f4(f6(c15))), true), true, p8(c12, f4(f6(c15))), true), true, p8(c12, f4(f5(c15))), true))
% 0.22/0.35 = { by axiom 8 (ifeq_axiom) }
% 0.22/0.35 tuple(true, true, true, ifeq(ifeq(ifeq(ifeq(p3(c13, f4(c14)), true, p3(f4(c14), c13), true), true, p3(c13, f4(f6(c15))), true), true, p8(c12, f4(f6(c15))), true), true, p8(c12, f4(f5(c15))), true))
% 0.22/0.35 = { by axiom 3 (p3_8) }
% 0.22/0.35 tuple(true, true, true, ifeq(ifeq(ifeq(ifeq(true, true, p3(f4(c14), c13), true), true, p3(c13, f4(f6(c15))), true), true, p8(c12, f4(f6(c15))), true), true, p8(c12, f4(f5(c15))), true))
% 0.22/0.35 = { by axiom 8 (ifeq_axiom) }
% 0.22/0.35 tuple(true, true, true, ifeq(ifeq(ifeq(p3(f4(c14), c13), true, p3(c13, f4(f6(c15))), true), true, p8(c12, f4(f6(c15))), true), true, p8(c12, f4(f5(c15))), true))
% 0.22/0.35 = { by axiom 8 (ifeq_axiom) R->L }
% 0.22/0.35 tuple(true, true, true, ifeq(ifeq(ifeq(true, true, ifeq(p3(f4(c14), c13), true, p3(c13, f4(f6(c15))), true), true), true, p8(c12, f4(f6(c15))), true), true, p8(c12, f4(f5(c15))), true))
% 0.22/0.35 = { by axiom 9 (p3_9) R->L }
% 0.22/0.35 tuple(true, true, true, ifeq(ifeq(ifeq(ifeq(p2(c14, f6(c15)), true, p3(f4(c14), f4(f6(c15))), true), true, ifeq(p3(f4(c14), c13), true, p3(c13, f4(f6(c15))), true), true), true, p8(c12, f4(f6(c15))), true), true, p8(c12, f4(f5(c15))), true))
% 0.22/0.35 = { by axiom 7 (p2_7) }
% 0.22/0.35 tuple(true, true, true, ifeq(ifeq(ifeq(ifeq(true, true, p3(f4(c14), f4(f6(c15))), true), true, ifeq(p3(f4(c14), c13), true, p3(c13, f4(f6(c15))), true), true), true, p8(c12, f4(f6(c15))), true), true, p8(c12, f4(f5(c15))), true))
% 0.22/0.35 = { by axiom 8 (ifeq_axiom) }
% 0.22/0.35 tuple(true, true, true, ifeq(ifeq(ifeq(p3(f4(c14), f4(f6(c15))), true, ifeq(p3(f4(c14), c13), true, p3(c13, f4(f6(c15))), true), true), true, p8(c12, f4(f6(c15))), true), true, p8(c12, f4(f5(c15))), true))
% 0.22/0.35 = { by axiom 11 (p3_14) }
% 0.22/0.35 tuple(true, true, true, ifeq(ifeq(true, true, p8(c12, f4(f6(c15))), true), true, p8(c12, f4(f5(c15))), true))
% 0.22/0.35 = { by axiom 8 (ifeq_axiom) }
% 0.22/0.35 tuple(true, true, true, ifeq(p8(c12, f4(f6(c15))), true, p8(c12, f4(f5(c15))), true))
% 0.22/0.35 = { by axiom 10 (p8_16) }
% 0.22/0.35 tuple(true, true, true, true)
% 0.22/0.35 % SZS output end Proof
% 0.22/0.35
% 0.22/0.35 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------