%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN588-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 01:48:08 PM UTC 2026
% Result : Unsatisfiable 0.20s 0.30s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN588-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.17 % Computer : n018.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Mon Sep 28 16:34:24 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.30 Command-line arguments: --lhs-weight 9 --flip-ordering --complete-subsets --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 0.20/0.30
% 0.20/0.30 % SZS status Unsatisfiable
% 0.20/0.30
% 0.20/0.30 % SZS output start Proof
% 0.20/0.30 Axiom 1 (p7_2): p7(X, X) = true.
% 0.20/0.30 Axiom 2 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.20/0.30 Axiom 3 (p7_14): ifeq(p7(X, Y), true, ifeq(p7(X, Z), true, p7(Z, Y), true), true) = true.
% 0.20/0.30 Axiom 4 (p7_25): p7(c20, f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), c21), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22))))) = true.
% 0.20/0.30 Axiom 5 (p7_24): p7(c20, f8(f10(f12(f11(f3(f5(c17)))), c23), f8(f10(f11(f3(f4(f5(c17)))), c25), f9(f11(c24), f10(f11(f3(f4(f5(c17)))), c22))))) = true.
% 0.20/0.30
% 0.20/0.30 Goal 1 (not_p7_26): p7(f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), c21), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), c23), f8(f10(f11(f3(f4(f5(c17)))), c25), f9(f11(c24), f10(f11(f3(f4(f5(c17)))), c22))))) = true.
% 0.20/0.30 Proof:
% 0.20/0.30 p7(f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), c21), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), c23), f8(f10(f11(f3(f4(f5(c17)))), c25), f9(f11(c24), f10(f11(f3(f4(f5(c17)))), c22)))))
% 0.20/0.30 = { by axiom 2 (ifeq_axiom) R->L }
% 0.20/0.30 ifeq(true, true, p7(f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), c21), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), c23), f8(f10(f11(f3(f4(f5(c17)))), c25), f9(f11(c24), f10(f11(f3(f4(f5(c17)))), c22))))), true)
% 0.20/0.30 = { by axiom 3 (p7_14) R->L }
% 0.20/0.30 ifeq(ifeq(p7(c20, f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), c21), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22))))), true, ifeq(p7(c20, f8(f10(f12(f11(f3(f5(c17)))), c23), f8(f10(f11(f3(f4(f5(c17)))), c25), f9(f11(c24), f10(f11(f3(f4(f5(c17)))), c22))))), true, p7(f8(f10(f12(f11(f3(f5(c17)))), c23), f8(f10(f11(f3(f4(f5(c17)))), c25), f9(f11(c24), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), c21), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22))))), true), true), true, p7(f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), c21), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), c23), f8(f10(f11(f3(f4(f5(c17)))), c25), f9(f11(c24), f10(f11(f3(f4(f5(c17)))), c22))))), true)
% 0.20/0.30 = { by axiom 4 (p7_25) }
% 0.20/0.30 ifeq(ifeq(true, true, ifeq(p7(c20, f8(f10(f12(f11(f3(f5(c17)))), c23), f8(f10(f11(f3(f4(f5(c17)))), c25), f9(f11(c24), f10(f11(f3(f4(f5(c17)))), c22))))), true, p7(f8(f10(f12(f11(f3(f5(c17)))), c23), f8(f10(f11(f3(f4(f5(c17)))), c25), f9(f11(c24), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), c21), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22))))), true), true), true, p7(f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), c21), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), c23), f8(f10(f11(f3(f4(f5(c17)))), c25), f9(f11(c24), f10(f11(f3(f4(f5(c17)))), c22))))), true)
% 0.20/0.30 = { by axiom 2 (ifeq_axiom) }
% 0.20/0.30 ifeq(ifeq(p7(c20, f8(f10(f12(f11(f3(f5(c17)))), c23), f8(f10(f11(f3(f4(f5(c17)))), c25), f9(f11(c24), f10(f11(f3(f4(f5(c17)))), c22))))), true, p7(f8(f10(f12(f11(f3(f5(c17)))), c23), f8(f10(f11(f3(f4(f5(c17)))), c25), f9(f11(c24), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), c21), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22))))), true), true, p7(f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), c21), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), c23), f8(f10(f11(f3(f4(f5(c17)))), c25), f9(f11(c24), f10(f11(f3(f4(f5(c17)))), c22))))), true)
% 0.20/0.30 = { by axiom 5 (p7_24) }
% 0.20/0.30 ifeq(ifeq(true, true, p7(f8(f10(f12(f11(f3(f5(c17)))), c23), f8(f10(f11(f3(f4(f5(c17)))), c25), f9(f11(c24), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), c21), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22))))), true), true, p7(f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), c21), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), c23), f8(f10(f11(f3(f4(f5(c17)))), c25), f9(f11(c24), f10(f11(f3(f4(f5(c17)))), c22))))), true)
% 0.20/0.30 = { by axiom 2 (ifeq_axiom) }
% 0.20/0.30 ifeq(p7(f8(f10(f12(f11(f3(f5(c17)))), c23), f8(f10(f11(f3(f4(f5(c17)))), c25), f9(f11(c24), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), c21), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22))))), true, p7(f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), c21), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), c23), f8(f10(f11(f3(f4(f5(c17)))), c25), f9(f11(c24), f10(f11(f3(f4(f5(c17)))), c22))))), true)
% 0.20/0.30 = { by axiom 2 (ifeq_axiom) R->L }
% 0.20/0.30 ifeq(true, true, ifeq(p7(f8(f10(f12(f11(f3(f5(c17)))), c23), f8(f10(f11(f3(f4(f5(c17)))), c25), f9(f11(c24), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), c21), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22))))), true, p7(f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), c21), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), c23), f8(f10(f11(f3(f4(f5(c17)))), c25), f9(f11(c24), f10(f11(f3(f4(f5(c17)))), c22))))), true), true)
% 0.20/0.30 = { by axiom 1 (p7_2) R->L }
% 0.20/0.30 ifeq(p7(f8(f10(f12(f11(f3(f5(c17)))), c23), f8(f10(f11(f3(f4(f5(c17)))), c25), f9(f11(c24), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), c23), f8(f10(f11(f3(f4(f5(c17)))), c25), f9(f11(c24), f10(f11(f3(f4(f5(c17)))), c22))))), true, ifeq(p7(f8(f10(f12(f11(f3(f5(c17)))), c23), f8(f10(f11(f3(f4(f5(c17)))), c25), f9(f11(c24), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), c21), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22))))), true, p7(f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), c21), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), c23), f8(f10(f11(f3(f4(f5(c17)))), c25), f9(f11(c24), f10(f11(f3(f4(f5(c17)))), c22))))), true), true)
% 0.20/0.30 = { by axiom 3 (p7_14) }
% 0.20/0.30 true
% 0.20/0.30 % SZS output end Proof
% 0.20/0.30
% 0.20/0.30 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------