%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN651-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 01:48:14 PM UTC 2026
% Result : Unsatisfiable 0.68s 0.41s
% Output : Proof 0.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN651-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.17 % Computer : n004.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 16:39:52 UTC 2026
% 0.07/0.17 % CPUTime :
% 0.07/0.17 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.68/0.41 Command-line arguments: --flatten --complete-subsets
% 0.68/0.41
% 0.68/0.41 % SZS status Unsatisfiable
% 0.68/0.41
% 0.68/0.41 % SZS output start Proof
% 0.68/0.41 Axiom 1 (p23_13): p23(f5(c27, c28), c30) = true.
% 0.68/0.41 Axiom 2 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.68/0.41 Axiom 3 (p23_26): p23(f5(f7(f10(c24, f12(c25, c26)), c27), c30), c29) = true.
% 0.68/0.41 Axiom 4 (p23_41): ifeq(p23(f5(f7(f10(c24, f12(c25, X)), Y), Z), W), true, p23(f5(Y, f14(f16(f18(f20(c31, X), Z), Y), W)), W), true) = true.
% 0.68/0.41 Axiom 5 (p23_43): ifeq(p23(f5(f7(f10(c24, X), Y), Z), W), true, ifeq(p23(f5(Y, W), V), true, p23(f5(f7(f10(c24, f12(c25, X)), Y), Z), V), true), true) = true.
% 0.68/0.41 Axiom 6 (p23_44): ifeq(p23(f5(f7(f10(c24, c26), c27), X), Y), true, ifeq(p23(f5(c27, Z), X), true, p23(f5(f7(f10(c24, f12(c25, c26)), c27), Z), Y), true), true) = true.
% 0.68/0.41 Axiom 7 (p23_45): ifeq(p23(f5(f7(f10(c24, f12(c25, X)), Y), Z), W), true, p23(f5(f7(f10(c24, X), Y), Z), f14(f16(f18(f20(c31, X), Z), Y), W)), true) = true.
% 0.68/0.41
% 0.68/0.41 Lemma 8: p23(f5(f7(f10(c24, f12(c25, c26)), c27), c30), c29) = p23(f5(c27, c28), c30).
% 0.68/0.41 Proof:
% 0.68/0.41 p23(f5(f7(f10(c24, f12(c25, c26)), c27), c30), c29)
% 0.68/0.41 = { by axiom 3 (p23_26) }
% 0.68/0.41 true
% 0.68/0.41 = { by axiom 1 (p23_13) R->L }
% 0.68/0.41 p23(f5(c27, c28), c30)
% 0.68/0.41
% 0.68/0.41 Goal 1 (not_p23_28): p23(f5(f7(f10(c24, f12(c25, f12(c25, c26))), c27), c28), c29) = true.
% 0.68/0.41 Proof:
% 0.68/0.41 p23(f5(f7(f10(c24, f12(c25, f12(c25, c26))), c27), c28), c29)
% 0.68/0.41 = { by axiom 2 (ifeq_axiom) R->L }
% 0.68/0.41 ifeq(p23(f5(c27, c28), c30), p23(f5(c27, c28), c30), p23(f5(f7(f10(c24, f12(c25, f12(c25, c26))), c27), c28), c29), p23(f5(c27, c28), c30))
% 0.68/0.41 = { by axiom 1 (p23_13) }
% 0.68/0.41 ifeq(true, p23(f5(c27, c28), c30), p23(f5(f7(f10(c24, f12(c25, f12(c25, c26))), c27), c28), c29), p23(f5(c27, c28), c30))
% 0.68/0.41 = { by axiom 4 (p23_41) R->L }
% 0.68/0.41 ifeq(ifeq(p23(f5(f7(f10(c24, f12(c25, c26)), c27), c30), c29), true, p23(f5(c27, f14(f16(f18(f20(c31, c26), c30), c27), c29)), c29), true), p23(f5(c27, c28), c30), p23(f5(f7(f10(c24, f12(c25, f12(c25, c26))), c27), c28), c29), p23(f5(c27, c28), c30))
% 0.68/0.41 = { by axiom 1 (p23_13) R->L }
% 0.68/0.41 ifeq(ifeq(p23(f5(f7(f10(c24, f12(c25, c26)), c27), c30), c29), true, p23(f5(c27, f14(f16(f18(f20(c31, c26), c30), c27), c29)), c29), p23(f5(c27, c28), c30)), p23(f5(c27, c28), c30), p23(f5(f7(f10(c24, f12(c25, f12(c25, c26))), c27), c28), c29), p23(f5(c27, c28), c30))
% 0.68/0.41 = { by axiom 1 (p23_13) R->L }
% 0.68/0.41 ifeq(ifeq(p23(f5(f7(f10(c24, f12(c25, c26)), c27), c30), c29), p23(f5(c27, c28), c30), p23(f5(c27, f14(f16(f18(f20(c31, c26), c30), c27), c29)), c29), p23(f5(c27, c28), c30)), p23(f5(c27, c28), c30), p23(f5(f7(f10(c24, f12(c25, f12(c25, c26))), c27), c28), c29), p23(f5(c27, c28), c30))
% 0.68/0.41 = { by lemma 8 }
% 0.68/0.41 ifeq(ifeq(p23(f5(c27, c28), c30), p23(f5(c27, c28), c30), p23(f5(c27, f14(f16(f18(f20(c31, c26), c30), c27), c29)), c29), p23(f5(c27, c28), c30)), p23(f5(c27, c28), c30), p23(f5(f7(f10(c24, f12(c25, f12(c25, c26))), c27), c28), c29), p23(f5(c27, c28), c30))
% 0.68/0.41 = { by axiom 2 (ifeq_axiom) }
% 0.68/0.41 ifeq(p23(f5(c27, f14(f16(f18(f20(c31, c26), c30), c27), c29)), c29), p23(f5(c27, c28), c30), p23(f5(f7(f10(c24, f12(c25, f12(c25, c26))), c27), c28), c29), p23(f5(c27, c28), c30))
% 0.68/0.41 = { by axiom 2 (ifeq_axiom) R->L }
% 0.68/0.41 ifeq(p23(f5(c27, c28), c30), p23(f5(c27, c28), c30), ifeq(p23(f5(c27, f14(f16(f18(f20(c31, c26), c30), c27), c29)), c29), p23(f5(c27, c28), c30), p23(f5(f7(f10(c24, f12(c25, f12(c25, c26))), c27), c28), c29), p23(f5(c27, c28), c30)), p23(f5(c27, c28), c30))
% 0.68/0.41 = { by axiom 1 (p23_13) }
% 0.68/0.41 ifeq(true, p23(f5(c27, c28), c30), ifeq(p23(f5(c27, f14(f16(f18(f20(c31, c26), c30), c27), c29)), c29), p23(f5(c27, c28), c30), p23(f5(f7(f10(c24, f12(c25, f12(c25, c26))), c27), c28), c29), p23(f5(c27, c28), c30)), p23(f5(c27, c28), c30))
% 0.68/0.41 = { by axiom 6 (p23_44) R->L }
% 0.68/0.41 ifeq(ifeq(p23(f5(f7(f10(c24, c26), c27), c30), f14(f16(f18(f20(c31, c26), c30), c27), c29)), true, ifeq(p23(f5(c27, c28), c30), true, p23(f5(f7(f10(c24, f12(c25, c26)), c27), c28), f14(f16(f18(f20(c31, c26), c30), c27), c29)), true), true), p23(f5(c27, c28), c30), ifeq(p23(f5(c27, f14(f16(f18(f20(c31, c26), c30), c27), c29)), c29), p23(f5(c27, c28), c30), p23(f5(f7(f10(c24, f12(c25, f12(c25, c26))), c27), c28), c29), p23(f5(c27, c28), c30)), p23(f5(c27, c28), c30))
% 0.68/0.41 = { by axiom 1 (p23_13) R->L }
% 0.68/0.41 ifeq(ifeq(p23(f5(f7(f10(c24, c26), c27), c30), f14(f16(f18(f20(c31, c26), c30), c27), c29)), true, ifeq(p23(f5(c27, c28), c30), true, p23(f5(f7(f10(c24, f12(c25, c26)), c27), c28), f14(f16(f18(f20(c31, c26), c30), c27), c29)), true), p23(f5(c27, c28), c30)), p23(f5(c27, c28), c30), ifeq(p23(f5(c27, f14(f16(f18(f20(c31, c26), c30), c27), c29)), c29), p23(f5(c27, c28), c30), p23(f5(f7(f10(c24, f12(c25, f12(c25, c26))), c27), c28), c29), p23(f5(c27, c28), c30)), p23(f5(c27, c28), c30))
% 0.68/0.41 = { by axiom 1 (p23_13) R->L }
% 0.68/0.41 ifeq(ifeq(p23(f5(f7(f10(c24, c26), c27), c30), f14(f16(f18(f20(c31, c26), c30), c27), c29)), true, ifeq(p23(f5(c27, c28), c30), true, p23(f5(f7(f10(c24, f12(c25, c26)), c27), c28), f14(f16(f18(f20(c31, c26), c30), c27), c29)), p23(f5(c27, c28), c30)), p23(f5(c27, c28), c30)), p23(f5(c27, c28), c30), ifeq(p23(f5(c27, f14(f16(f18(f20(c31, c26), c30), c27), c29)), c29), p23(f5(c27, c28), c30), p23(f5(f7(f10(c24, f12(c25, f12(c25, c26))), c27), c28), c29), p23(f5(c27, c28), c30)), p23(f5(c27, c28), c30))
% 0.68/0.42 = { by axiom 1 (p23_13) R->L }
% 0.68/0.42 ifeq(ifeq(p23(f5(f7(f10(c24, c26), c27), c30), f14(f16(f18(f20(c31, c26), c30), c27), c29)), true, ifeq(p23(f5(c27, c28), c30), p23(f5(c27, c28), c30), p23(f5(f7(f10(c24, f12(c25, c26)), c27), c28), f14(f16(f18(f20(c31, c26), c30), c27), c29)), p23(f5(c27, c28), c30)), p23(f5(c27, c28), c30)), p23(f5(c27, c28), c30), ifeq(p23(f5(c27, f14(f16(f18(f20(c31, c26), c30), c27), c29)), c29), p23(f5(c27, c28), c30), p23(f5(f7(f10(c24, f12(c25, f12(c25, c26))), c27), c28), c29), p23(f5(c27, c28), c30)), p23(f5(c27, c28), c30))
% 0.68/0.42 = { by axiom 1 (p23_13) R->L }
% 0.68/0.42 ifeq(ifeq(p23(f5(f7(f10(c24, c26), c27), c30), f14(f16(f18(f20(c31, c26), c30), c27), c29)), p23(f5(c27, c28), c30), ifeq(p23(f5(c27, c28), c30), p23(f5(c27, c28), c30), p23(f5(f7(f10(c24, f12(c25, c26)), c27), c28), f14(f16(f18(f20(c31, c26), c30), c27), c29)), p23(f5(c27, c28), c30)), p23(f5(c27, c28), c30)), p23(f5(c27, c28), c30), ifeq(p23(f5(c27, f14(f16(f18(f20(c31, c26), c30), c27), c29)), c29), p23(f5(c27, c28), c30), p23(f5(f7(f10(c24, f12(c25, f12(c25, c26))), c27), c28), c29), p23(f5(c27, c28), c30)), p23(f5(c27, c28), c30))
% 0.68/0.42 = { by axiom 2 (ifeq_axiom) R->L }
% 0.68/0.42 ifeq(ifeq(ifeq(p23(f5(c27, c28), c30), p23(f5(c27, c28), c30), p23(f5(f7(f10(c24, c26), c27), c30), f14(f16(f18(f20(c31, c26), c30), c27), c29)), p23(f5(c27, c28), c30)), p23(f5(c27, c28), c30), ifeq(p23(f5(c27, c28), c30), p23(f5(c27, c28), c30), p23(f5(f7(f10(c24, f12(c25, c26)), c27), c28), f14(f16(f18(f20(c31, c26), c30), c27), c29)), p23(f5(c27, c28), c30)), p23(f5(c27, c28), c30)), p23(f5(c27, c28), c30), ifeq(p23(f5(c27, f14(f16(f18(f20(c31, c26), c30), c27), c29)), c29), p23(f5(c27, c28), c30), p23(f5(f7(f10(c24, f12(c25, f12(c25, c26))), c27), c28), c29), p23(f5(c27, c28), c30)), p23(f5(c27, c28), c30))
% 0.68/0.42 = { by lemma 8 R->L }
% 0.68/0.42 ifeq(ifeq(ifeq(p23(f5(f7(f10(c24, f12(c25, c26)), c27), c30), c29), p23(f5(c27, c28), c30), p23(f5(f7(f10(c24, c26), c27), c30), f14(f16(f18(f20(c31, c26), c30), c27), c29)), p23(f5(c27, c28), c30)), p23(f5(c27, c28), c30), ifeq(p23(f5(c27, c28), c30), p23(f5(c27, c28), c30), p23(f5(f7(f10(c24, f12(c25, c26)), c27), c28), f14(f16(f18(f20(c31, c26), c30), c27), c29)), p23(f5(c27, c28), c30)), p23(f5(c27, c28), c30)), p23(f5(c27, c28), c30), ifeq(p23(f5(c27, f14(f16(f18(f20(c31, c26), c30), c27), c29)), c29), p23(f5(c27, c28), c30), p23(f5(f7(f10(c24, f12(c25, f12(c25, c26))), c27), c28), c29), p23(f5(c27, c28), c30)), p23(f5(c27, c28), c30))
% 0.68/0.42 = { by axiom 1 (p23_13) }
% 0.68/0.42 ifeq(ifeq(ifeq(p23(f5(f7(f10(c24, f12(c25, c26)), c27), c30), c29), true, p23(f5(f7(f10(c24, c26), c27), c30), f14(f16(f18(f20(c31, c26), c30), c27), c29)), p23(f5(c27, c28), c30)), p23(f5(c27, c28), c30), ifeq(p23(f5(c27, c28), c30), p23(f5(c27, c28), c30), p23(f5(f7(f10(c24, f12(c25, c26)), c27), c28), f14(f16(f18(f20(c31, c26), c30), c27), c29)), p23(f5(c27, c28), c30)), p23(f5(c27, c28), c30)), p23(f5(c27, c28), c30), ifeq(p23(f5(c27, f14(f16(f18(f20(c31, c26), c30), c27), c29)), c29), p23(f5(c27, c28), c30), p23(f5(f7(f10(c24, f12(c25, f12(c25, c26))), c27), c28), c29), p23(f5(c27, c28), c30)), p23(f5(c27, c28), c30))
% 0.68/0.42 = { by axiom 1 (p23_13) }
% 0.68/0.42 ifeq(ifeq(ifeq(p23(f5(f7(f10(c24, f12(c25, c26)), c27), c30), c29), true, p23(f5(f7(f10(c24, c26), c27), c30), f14(f16(f18(f20(c31, c26), c30), c27), c29)), true), p23(f5(c27, c28), c30), ifeq(p23(f5(c27, c28), c30), p23(f5(c27, c28), c30), p23(f5(f7(f10(c24, f12(c25, c26)), c27), c28), f14(f16(f18(f20(c31, c26), c30), c27), c29)), p23(f5(c27, c28), c30)), p23(f5(c27, c28), c30)), p23(f5(c27, c28), c30), ifeq(p23(f5(c27, f14(f16(f18(f20(c31, c26), c30), c27), c29)), c29), p23(f5(c27, c28), c30), p23(f5(f7(f10(c24, f12(c25, f12(c25, c26))), c27), c28), c29), p23(f5(c27, c28), c30)), p23(f5(c27, c28), c30))
% 0.68/0.42 = { by axiom 7 (p23_45) }
% 0.68/0.42 ifeq(ifeq(true, p23(f5(c27, c28), c30), ifeq(p23(f5(c27, c28), c30), p23(f5(c27, c28), c30), p23(f5(f7(f10(c24, f12(c25, c26)), c27), c28), f14(f16(f18(f20(c31, c26), c30), c27), c29)), p23(f5(c27, c28), c30)), p23(f5(c27, c28), c30)), p23(f5(c27, c28), c30), ifeq(p23(f5(c27, f14(f16(f18(f20(c31, c26), c30), c27), c29)), c29), p23(f5(c27, c28), c30), p23(f5(f7(f10(c24, f12(c25, f12(c25, c26))), c27), c28), c29), p23(f5(c27, c28), c30)), p23(f5(c27, c28), c30))
% 0.68/0.42 = { by axiom 1 (p23_13) R->L }
% 0.68/0.42 ifeq(ifeq(p23(f5(c27, c28), c30), p23(f5(c27, c28), c30), ifeq(p23(f5(c27, c28), c30), p23(f5(c27, c28), c30), p23(f5(f7(f10(c24, f12(c25, c26)), c27), c28), f14(f16(f18(f20(c31, c26), c30), c27), c29)), p23(f5(c27, c28), c30)), p23(f5(c27, c28), c30)), p23(f5(c27, c28), c30), ifeq(p23(f5(c27, f14(f16(f18(f20(c31, c26), c30), c27), c29)), c29), p23(f5(c27, c28), c30), p23(f5(f7(f10(c24, f12(c25, f12(c25, c26))), c27), c28), c29), p23(f5(c27, c28), c30)), p23(f5(c27, c28), c30))
% 0.68/0.42 = { by axiom 2 (ifeq_axiom) }
% 0.68/0.42 ifeq(ifeq(p23(f5(c27, c28), c30), p23(f5(c27, c28), c30), p23(f5(f7(f10(c24, f12(c25, c26)), c27), c28), f14(f16(f18(f20(c31, c26), c30), c27), c29)), p23(f5(c27, c28), c30)), p23(f5(c27, c28), c30), ifeq(p23(f5(c27, f14(f16(f18(f20(c31, c26), c30), c27), c29)), c29), p23(f5(c27, c28), c30), p23(f5(f7(f10(c24, f12(c25, f12(c25, c26))), c27), c28), c29), p23(f5(c27, c28), c30)), p23(f5(c27, c28), c30))
% 0.68/0.42 = { by axiom 2 (ifeq_axiom) }
% 0.68/0.42 ifeq(p23(f5(f7(f10(c24, f12(c25, c26)), c27), c28), f14(f16(f18(f20(c31, c26), c30), c27), c29)), p23(f5(c27, c28), c30), ifeq(p23(f5(c27, f14(f16(f18(f20(c31, c26), c30), c27), c29)), c29), p23(f5(c27, c28), c30), p23(f5(f7(f10(c24, f12(c25, f12(c25, c26))), c27), c28), c29), p23(f5(c27, c28), c30)), p23(f5(c27, c28), c30))
% 0.68/0.42 = { by axiom 1 (p23_13) }
% 0.68/0.42 ifeq(p23(f5(f7(f10(c24, f12(c25, c26)), c27), c28), f14(f16(f18(f20(c31, c26), c30), c27), c29)), true, ifeq(p23(f5(c27, f14(f16(f18(f20(c31, c26), c30), c27), c29)), c29), p23(f5(c27, c28), c30), p23(f5(f7(f10(c24, f12(c25, f12(c25, c26))), c27), c28), c29), p23(f5(c27, c28), c30)), p23(f5(c27, c28), c30))
% 0.68/0.42 = { by axiom 1 (p23_13) }
% 0.68/0.42 ifeq(p23(f5(f7(f10(c24, f12(c25, c26)), c27), c28), f14(f16(f18(f20(c31, c26), c30), c27), c29)), true, ifeq(p23(f5(c27, f14(f16(f18(f20(c31, c26), c30), c27), c29)), c29), true, p23(f5(f7(f10(c24, f12(c25, f12(c25, c26))), c27), c28), c29), p23(f5(c27, c28), c30)), p23(f5(c27, c28), c30))
% 0.68/0.42 = { by axiom 1 (p23_13) }
% 0.68/0.42 ifeq(p23(f5(f7(f10(c24, f12(c25, c26)), c27), c28), f14(f16(f18(f20(c31, c26), c30), c27), c29)), true, ifeq(p23(f5(c27, f14(f16(f18(f20(c31, c26), c30), c27), c29)), c29), true, p23(f5(f7(f10(c24, f12(c25, f12(c25, c26))), c27), c28), c29), true), p23(f5(c27, c28), c30))
% 0.68/0.42 = { by axiom 1 (p23_13) }
% 0.68/0.42 ifeq(p23(f5(f7(f10(c24, f12(c25, c26)), c27), c28), f14(f16(f18(f20(c31, c26), c30), c27), c29)), true, ifeq(p23(f5(c27, f14(f16(f18(f20(c31, c26), c30), c27), c29)), c29), true, p23(f5(f7(f10(c24, f12(c25, f12(c25, c26))), c27), c28), c29), true), true)
% 0.68/0.42 = { by axiom 5 (p23_43) }
% 0.68/0.42 true
% 0.68/0.42 % SZS output end Proof
% 0.68/0.42
% 0.68/0.42 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------