%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN596-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n002.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 01:48:09 PM UTC 2026
% Result : Unsatisfiable 0.37s 0.29s
% Output : Proof 0.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN596-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.17 % Computer : n002.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Mon Sep 28 16:38:41 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/0.29 Command-line arguments: --lhs-weight 9 --flip-ordering --complete-subsets --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 0.37/0.29
% 0.37/0.29 % SZS status Unsatisfiable
% 0.37/0.29
% 0.37/0.29 % SZS output start Proof
% 0.37/0.29 Axiom 1 (p2_4): p2(X, X) = true.
% 0.37/0.29 Axiom 2 (p10_1): p10(X, X) = true.
% 0.37/0.30 Axiom 3 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.37/0.30 Axiom 4 (p18_20): p18(c20, f11(f13(f15(c20), f14(f4(c20), c21)), c23, c24)) = true.
% 0.37/0.30 Axiom 5 (p10_15): ifeq(p10(X, Y), true, ifeq(p10(X, Z), true, p10(Z, Y), true), true) = true.
% 0.37/0.30 Axiom 6 (p10_28): p10(f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24), f11(f13(f15(c20), f14(f4(c20), c21)), c23, c24)) = true.
% 0.37/0.30 Axiom 7 (p18_23): ifeq(p18(X, Y), true, ifeq(p2(X, Z), true, ifeq(p10(Y, W), true, p18(Z, W), true), true), true) = true.
% 0.37/0.30
% 0.37/0.30 Goal 1 (not_p18_21): p18(c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24)) = true.
% 0.37/0.30 Proof:
% 0.37/0.30 p18(c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24))
% 0.37/0.30 = { by axiom 3 (ifeq_axiom) R->L }
% 0.37/0.30 ifeq(true, true, p18(c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24)), true)
% 0.37/0.30 = { by axiom 5 (p10_15) R->L }
% 0.37/0.30 ifeq(ifeq(p10(f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24), f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24)), true, ifeq(p10(f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24), f11(f13(f15(c20), f14(f4(c20), c21)), c23, c24)), true, p10(f11(f13(f15(c20), f14(f4(c20), c21)), c23, c24), f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24)), true), true), true, p18(c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24)), true)
% 0.37/0.30 = { by axiom 2 (p10_1) }
% 0.37/0.30 ifeq(ifeq(true, true, ifeq(p10(f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24), f11(f13(f15(c20), f14(f4(c20), c21)), c23, c24)), true, p10(f11(f13(f15(c20), f14(f4(c20), c21)), c23, c24), f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24)), true), true), true, p18(c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24)), true)
% 0.37/0.30 = { by axiom 3 (ifeq_axiom) }
% 0.37/0.30 ifeq(ifeq(p10(f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24), f11(f13(f15(c20), f14(f4(c20), c21)), c23, c24)), true, p10(f11(f13(f15(c20), f14(f4(c20), c21)), c23, c24), f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24)), true), true, p18(c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24)), true)
% 0.37/0.30 = { by axiom 6 (p10_28) }
% 0.37/0.30 ifeq(ifeq(true, true, p10(f11(f13(f15(c20), f14(f4(c20), c21)), c23, c24), f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24)), true), true, p18(c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24)), true)
% 0.37/0.30 = { by axiom 3 (ifeq_axiom) }
% 0.37/0.30 ifeq(p10(f11(f13(f15(c20), f14(f4(c20), c21)), c23, c24), f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24)), true, p18(c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24)), true)
% 0.37/0.30 = { by axiom 3 (ifeq_axiom) R->L }
% 0.37/0.30 ifeq(true, true, ifeq(p10(f11(f13(f15(c20), f14(f4(c20), c21)), c23, c24), f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24)), true, p18(c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24)), true), true)
% 0.37/0.30 = { by axiom 4 (p18_20) R->L }
% 0.37/0.30 ifeq(p18(c20, f11(f13(f15(c20), f14(f4(c20), c21)), c23, c24)), true, ifeq(p10(f11(f13(f15(c20), f14(f4(c20), c21)), c23, c24), f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24)), true, p18(c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24)), true), true)
% 0.37/0.30 = { by axiom 3 (ifeq_axiom) R->L }
% 0.37/0.30 ifeq(p18(c20, f11(f13(f15(c20), f14(f4(c20), c21)), c23, c24)), true, ifeq(true, true, ifeq(p10(f11(f13(f15(c20), f14(f4(c20), c21)), c23, c24), f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24)), true, p18(c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24)), true), true), true)
% 0.37/0.30 = { by axiom 1 (p2_4) R->L }
% 0.37/0.30 ifeq(p18(c20, f11(f13(f15(c20), f14(f4(c20), c21)), c23, c24)), true, ifeq(p2(c20, c20), true, ifeq(p10(f11(f13(f15(c20), f14(f4(c20), c21)), c23, c24), f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24)), true, p18(c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24)), true), true), true)
% 0.37/0.30 = { by axiom 7 (p18_23) }
% 0.37/0.30 true
% 0.37/0.30 % SZS output end Proof
% 0.37/0.30
% 0.37/0.30 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------