%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN584-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.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 0.21s 0.29s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN584-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.17 % Computer : n006.cluster.edu
% 0.06/0.17 % Model : x86_64 x86_64
% 0.06/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.17 % Memory : 8046.5625MB
% 0.06/0.17 % OS : Linux 6.8.0-71-generic
% 0.06/0.17 % CPULimit : 300
% 0.06/0.17 % WCLimit : 300
% 0.06/0.17 % DateTime : Mon Sep 28 16:29:24 UTC 2026
% 0.06/0.18 % CPUTime :
% 0.06/0.18 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.29 Command-line arguments: --no-flatten-goal
% 0.21/0.29
% 0.21/0.29 % SZS status Unsatisfiable
% 0.21/0.29
% 0.21/0.29 % SZS output start Proof
% 0.21/0.29 Axiom 1 (p3_4): p3(X, X) = true.
% 0.21/0.29 Axiom 2 (p12_1): p12(X, X) = true.
% 0.21/0.29 Axiom 3 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.21/0.29 Axiom 4 (p15_21): p15(c22, f4(f7(c18, f8(f9(c19, f10(f11(c20))), f9(c21, f10(f11(c20))))))) = true.
% 0.21/0.29 Axiom 5 (p12_9): ifeq(p12(X, Y), true, ifeq(p12(X, Z), true, p12(Z, Y), true), true) = true.
% 0.21/0.29 Axiom 6 (p12_23): p12(f13(c17, f14(f7(c18, f8(f9(c19, f10(f11(c20))), f9(c21, f10(f11(c20))))), c17)), c22) = true.
% 0.21/0.29 Axiom 7 (p15_15): ifeq(p15(X, Y), true, ifeq(p3(Y, Z), true, ifeq(p12(X, W), true, p15(W, Z), true), true), true) = true.
% 0.21/0.29
% 0.21/0.29 Goal 1 (not_p15_25): p15(f13(c17, f14(f7(c18, f8(f9(c19, f10(f11(c20))), f9(c21, f10(f11(c20))))), c17)), f4(f7(c18, f8(f9(c19, f10(f11(c20))), f9(c21, f10(f11(c20))))))) = true.
% 0.21/0.29 Proof:
% 0.21/0.29 p15(f13(c17, f14(f7(c18, f8(f9(c19, f10(f11(c20))), f9(c21, f10(f11(c20))))), c17)), f4(f7(c18, f8(f9(c19, f10(f11(c20))), f9(c21, f10(f11(c20)))))))
% 0.21/0.29 = { by axiom 3 (ifeq_axiom) R->L }
% 0.21/0.29 ifeq(true, true, p15(f13(c17, f14(f7(c18, f8(f9(c19, f10(f11(c20))), f9(c21, f10(f11(c20))))), c17)), f4(f7(c18, f8(f9(c19, f10(f11(c20))), f9(c21, f10(f11(c20))))))), true)
% 0.21/0.29 = { by axiom 5 (p12_9) R->L }
% 0.21/0.29 ifeq(ifeq(p12(f13(c17, f14(f7(c18, f8(f9(c19, f10(f11(c20))), f9(c21, f10(f11(c20))))), c17)), f13(c17, f14(f7(c18, f8(f9(c19, f10(f11(c20))), f9(c21, f10(f11(c20))))), c17))), true, ifeq(p12(f13(c17, f14(f7(c18, f8(f9(c19, f10(f11(c20))), f9(c21, f10(f11(c20))))), c17)), c22), true, p12(c22, f13(c17, f14(f7(c18, f8(f9(c19, f10(f11(c20))), f9(c21, f10(f11(c20))))), c17))), true), true), true, p15(f13(c17, f14(f7(c18, f8(f9(c19, f10(f11(c20))), f9(c21, f10(f11(c20))))), c17)), f4(f7(c18, f8(f9(c19, f10(f11(c20))), f9(c21, f10(f11(c20))))))), true)
% 0.21/0.30 = { by axiom 2 (p12_1) }
% 0.21/0.30 ifeq(ifeq(true, true, ifeq(p12(f13(c17, f14(f7(c18, f8(f9(c19, f10(f11(c20))), f9(c21, f10(f11(c20))))), c17)), c22), true, p12(c22, f13(c17, f14(f7(c18, f8(f9(c19, f10(f11(c20))), f9(c21, f10(f11(c20))))), c17))), true), true), true, p15(f13(c17, f14(f7(c18, f8(f9(c19, f10(f11(c20))), f9(c21, f10(f11(c20))))), c17)), f4(f7(c18, f8(f9(c19, f10(f11(c20))), f9(c21, f10(f11(c20))))))), true)
% 0.21/0.30 = { by axiom 3 (ifeq_axiom) }
% 0.21/0.30 ifeq(ifeq(p12(f13(c17, f14(f7(c18, f8(f9(c19, f10(f11(c20))), f9(c21, f10(f11(c20))))), c17)), c22), true, p12(c22, f13(c17, f14(f7(c18, f8(f9(c19, f10(f11(c20))), f9(c21, f10(f11(c20))))), c17))), true), true, p15(f13(c17, f14(f7(c18, f8(f9(c19, f10(f11(c20))), f9(c21, f10(f11(c20))))), c17)), f4(f7(c18, f8(f9(c19, f10(f11(c20))), f9(c21, f10(f11(c20))))))), true)
% 0.21/0.30 = { by axiom 6 (p12_23) }
% 0.21/0.30 ifeq(ifeq(true, true, p12(c22, f13(c17, f14(f7(c18, f8(f9(c19, f10(f11(c20))), f9(c21, f10(f11(c20))))), c17))), true), true, p15(f13(c17, f14(f7(c18, f8(f9(c19, f10(f11(c20))), f9(c21, f10(f11(c20))))), c17)), f4(f7(c18, f8(f9(c19, f10(f11(c20))), f9(c21, f10(f11(c20))))))), true)
% 0.21/0.30 = { by axiom 3 (ifeq_axiom) }
% 0.21/0.30 ifeq(p12(c22, f13(c17, f14(f7(c18, f8(f9(c19, f10(f11(c20))), f9(c21, f10(f11(c20))))), c17))), true, p15(f13(c17, f14(f7(c18, f8(f9(c19, f10(f11(c20))), f9(c21, f10(f11(c20))))), c17)), f4(f7(c18, f8(f9(c19, f10(f11(c20))), f9(c21, f10(f11(c20))))))), true)
% 0.21/0.30 = { by axiom 3 (ifeq_axiom) R->L }
% 0.21/0.30 ifeq(true, true, ifeq(p12(c22, f13(c17, f14(f7(c18, f8(f9(c19, f10(f11(c20))), f9(c21, f10(f11(c20))))), c17))), true, p15(f13(c17, f14(f7(c18, f8(f9(c19, f10(f11(c20))), f9(c21, f10(f11(c20))))), c17)), f4(f7(c18, f8(f9(c19, f10(f11(c20))), f9(c21, f10(f11(c20))))))), true), true)
% 0.21/0.30 = { by axiom 4 (p15_21) R->L }
% 0.21/0.30 ifeq(p15(c22, f4(f7(c18, f8(f9(c19, f10(f11(c20))), f9(c21, f10(f11(c20))))))), true, ifeq(p12(c22, f13(c17, f14(f7(c18, f8(f9(c19, f10(f11(c20))), f9(c21, f10(f11(c20))))), c17))), true, p15(f13(c17, f14(f7(c18, f8(f9(c19, f10(f11(c20))), f9(c21, f10(f11(c20))))), c17)), f4(f7(c18, f8(f9(c19, f10(f11(c20))), f9(c21, f10(f11(c20))))))), true), true)
% 0.21/0.30 = { by axiom 3 (ifeq_axiom) R->L }
% 0.21/0.30 ifeq(p15(c22, f4(f7(c18, f8(f9(c19, f10(f11(c20))), f9(c21, f10(f11(c20))))))), true, ifeq(true, true, ifeq(p12(c22, f13(c17, f14(f7(c18, f8(f9(c19, f10(f11(c20))), f9(c21, f10(f11(c20))))), c17))), true, p15(f13(c17, f14(f7(c18, f8(f9(c19, f10(f11(c20))), f9(c21, f10(f11(c20))))), c17)), f4(f7(c18, f8(f9(c19, f10(f11(c20))), f9(c21, f10(f11(c20))))))), true), true), true)
% 0.21/0.30 = { by axiom 1 (p3_4) R->L }
% 0.21/0.30 ifeq(p15(c22, f4(f7(c18, f8(f9(c19, f10(f11(c20))), f9(c21, f10(f11(c20))))))), true, ifeq(p3(f4(f7(c18, f8(f9(c19, f10(f11(c20))), f9(c21, f10(f11(c20)))))), f4(f7(c18, f8(f9(c19, f10(f11(c20))), f9(c21, f10(f11(c20))))))), true, ifeq(p12(c22, f13(c17, f14(f7(c18, f8(f9(c19, f10(f11(c20))), f9(c21, f10(f11(c20))))), c17))), true, p15(f13(c17, f14(f7(c18, f8(f9(c19, f10(f11(c20))), f9(c21, f10(f11(c20))))), c17)), f4(f7(c18, f8(f9(c19, f10(f11(c20))), f9(c21, f10(f11(c20))))))), true), true), true)
% 0.21/0.30 = { by axiom 7 (p15_15) }
% 0.21/0.30 true
% 0.21/0.30 % SZS output end Proof
% 0.21/0.30
% 0.21/0.30 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------