%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN632-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.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 01:48:12 PM UTC 2026
% Result : Unsatisfiable 0.22s 0.32s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN632-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.18 % Computer : n001.cluster.edu
% 0.06/0.18 % Model : x86_64 x86_64
% 0.06/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.18 % Memory : 8046.5625MB
% 0.06/0.18 % OS : Linux 6.8.0-71-generic
% 0.06/0.18 % CPULimit : 300
% 0.06/0.18 % WCLimit : 300
% 0.06/0.18 % DateTime : Mon Sep 28 16:43:48 UTC 2026
% 0.06/0.18 % CPUTime :
% 0.06/0.18 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.32 Command-line arguments: --no-flatten-goal
% 0.22/0.32
% 0.22/0.32 % SZS status Unsatisfiable
% 0.22/0.32
% 0.22/0.33 % SZS output start Proof
% 0.22/0.33 Axiom 1 (p2_7): p2(X, X) = true.
% 0.22/0.33 Axiom 2 (p3_6): p3(X, X) = true.
% 0.22/0.33 Axiom 3 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.22/0.33 Axiom 4 (p21_24): p21(f5(f7(f10(c24, f12(c28, f12(c25, c26))), c22), c23), c27) = true.
% 0.22/0.33 Axiom 5 (p3_17): ifeq(p3(X, Y), true, ifeq(p3(X, Z), true, p3(Z, Y), true), true) = true.
% 0.22/0.33 Axiom 6 (p21_34): ifeq(p3(X, Y), true, p21(f5(f7(f10(c24, f12(c25, c26)), Z), X), Y), true) = true.
% 0.22/0.33 Axiom 7 (p3_33): ifeq(p21(f5(f7(f10(c24, f12(c25, c26)), X), Y), Z), true, p3(Y, Z), true) = true.
% 0.22/0.33 Axiom 8 (p4_31): ifeq(p2(X, Y), true, ifeq(p3(Z, W), true, p4(f5(X, Z), f5(Y, W)), true), true) = true.
% 0.22/0.33 Axiom 9 (p21_23): ifeq(p21(X, Y), true, ifeq(p3(Y, Z), true, ifeq(p4(X, W), true, p21(W, Z), true), true), true) = true.
% 0.22/0.33 Axiom 10 (p21_36): ifeq(p21(f5(f7(f10(c24, f12(c28, X)), Y), Z), W), true, p21(f5(Y, f14(f16(f18(f20(c29, X), Z), Y), W)), W), true) = true.
% 0.22/0.33 Axiom 11 (p21_38): ifeq(p21(f5(f7(f10(c24, f12(c28, X)), Y), Z), W), true, p21(f5(f7(f10(c24, X), Y), Z), f14(f16(f18(f20(c29, X), Z), Y), W)), true) = true.
% 0.22/0.33
% 0.22/0.33 Goal 1 (not_p21_35): tuple(p21(f5(f7(f10(c24, f12(c25, c26)), c22), X), c27), p21(f5(c22, c23), X)) = tuple(true, true).
% 0.22/0.33 The goal is true when:
% 0.22/0.33 X = c27
% 0.22/0.33
% 0.22/0.33 Proof:
% 0.22/0.33 tuple(p21(f5(f7(f10(c24, f12(c25, c26)), c22), c27), c27), p21(f5(c22, c23), c27))
% 0.22/0.33 = { by axiom 3 (ifeq_axiom) R->L }
% 0.22/0.33 tuple(p21(f5(f7(f10(c24, f12(c25, c26)), c22), c27), c27), ifeq(true, true, p21(f5(c22, c23), c27), true))
% 0.22/0.33 = { by axiom 8 (p4_31) R->L }
% 0.22/0.33 tuple(p21(f5(f7(f10(c24, f12(c25, c26)), c22), c27), c27), ifeq(ifeq(p2(c22, c22), true, ifeq(p3(f14(f16(f18(f20(c29, f12(c25, c26)), c23), c22), c27), c23), true, p4(f5(c22, f14(f16(f18(f20(c29, f12(c25, c26)), c23), c22), c27)), f5(c22, c23)), true), true), true, p21(f5(c22, c23), c27), true))
% 0.22/0.33 = { by axiom 1 (p2_7) }
% 0.22/0.33 tuple(p21(f5(f7(f10(c24, f12(c25, c26)), c22), c27), c27), ifeq(ifeq(true, true, ifeq(p3(f14(f16(f18(f20(c29, f12(c25, c26)), c23), c22), c27), c23), true, p4(f5(c22, f14(f16(f18(f20(c29, f12(c25, c26)), c23), c22), c27)), f5(c22, c23)), true), true), true, p21(f5(c22, c23), c27), true))
% 0.22/0.33 = { by axiom 3 (ifeq_axiom) }
% 0.22/0.33 tuple(p21(f5(f7(f10(c24, f12(c25, c26)), c22), c27), c27), ifeq(ifeq(p3(f14(f16(f18(f20(c29, f12(c25, c26)), c23), c22), c27), c23), true, p4(f5(c22, f14(f16(f18(f20(c29, f12(c25, c26)), c23), c22), c27)), f5(c22, c23)), true), true, p21(f5(c22, c23), c27), true))
% 0.22/0.33 = { by axiom 3 (ifeq_axiom) R->L }
% 0.22/0.33 tuple(p21(f5(f7(f10(c24, f12(c25, c26)), c22), c27), c27), ifeq(ifeq(ifeq(true, true, p3(f14(f16(f18(f20(c29, f12(c25, c26)), c23), c22), c27), c23), true), true, p4(f5(c22, f14(f16(f18(f20(c29, f12(c25, c26)), c23), c22), c27)), f5(c22, c23)), true), true, p21(f5(c22, c23), c27), true))
% 0.22/0.33 = { by axiom 7 (p3_33) R->L }
% 0.22/0.33 tuple(p21(f5(f7(f10(c24, f12(c25, c26)), c22), c27), c27), ifeq(ifeq(ifeq(ifeq(p21(f5(f7(f10(c24, f12(c25, c26)), c22), c23), f14(f16(f18(f20(c29, f12(c25, c26)), c23), c22), c27)), true, p3(c23, f14(f16(f18(f20(c29, f12(c25, c26)), c23), c22), c27)), true), true, p3(f14(f16(f18(f20(c29, f12(c25, c26)), c23), c22), c27), c23), true), true, p4(f5(c22, f14(f16(f18(f20(c29, f12(c25, c26)), c23), c22), c27)), f5(c22, c23)), true), true, p21(f5(c22, c23), c27), true))
% 0.22/0.33 = { by axiom 3 (ifeq_axiom) R->L }
% 0.22/0.33 tuple(p21(f5(f7(f10(c24, f12(c25, c26)), c22), c27), c27), ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p21(f5(f7(f10(c24, f12(c25, c26)), c22), c23), f14(f16(f18(f20(c29, f12(c25, c26)), c23), c22), c27)), true), true, p3(c23, f14(f16(f18(f20(c29, f12(c25, c26)), c23), c22), c27)), true), true, p3(f14(f16(f18(f20(c29, f12(c25, c26)), c23), c22), c27), c23), true), true, p4(f5(c22, f14(f16(f18(f20(c29, f12(c25, c26)), c23), c22), c27)), f5(c22, c23)), true), true, p21(f5(c22, c23), c27), true))
% 0.22/0.33 = { by axiom 4 (p21_24) R->L }
% 0.22/0.33 tuple(p21(f5(f7(f10(c24, f12(c25, c26)), c22), c27), c27), ifeq(ifeq(ifeq(ifeq(ifeq(p21(f5(f7(f10(c24, f12(c28, f12(c25, c26))), c22), c23), c27), true, p21(f5(f7(f10(c24, f12(c25, c26)), c22), c23), f14(f16(f18(f20(c29, f12(c25, c26)), c23), c22), c27)), true), true, p3(c23, f14(f16(f18(f20(c29, f12(c25, c26)), c23), c22), c27)), true), true, p3(f14(f16(f18(f20(c29, f12(c25, c26)), c23), c22), c27), c23), true), true, p4(f5(c22, f14(f16(f18(f20(c29, f12(c25, c26)), c23), c22), c27)), f5(c22, c23)), true), true, p21(f5(c22, c23), c27), true))
% 0.22/0.33 = { by axiom 11 (p21_38) }
% 0.22/0.33 tuple(p21(f5(f7(f10(c24, f12(c25, c26)), c22), c27), c27), ifeq(ifeq(ifeq(ifeq(true, true, p3(c23, f14(f16(f18(f20(c29, f12(c25, c26)), c23), c22), c27)), true), true, p3(f14(f16(f18(f20(c29, f12(c25, c26)), c23), c22), c27), c23), true), true, p4(f5(c22, f14(f16(f18(f20(c29, f12(c25, c26)), c23), c22), c27)), f5(c22, c23)), true), true, p21(f5(c22, c23), c27), true))
% 0.22/0.34 = { by axiom 3 (ifeq_axiom) }
% 0.22/0.34 tuple(p21(f5(f7(f10(c24, f12(c25, c26)), c22), c27), c27), ifeq(ifeq(ifeq(p3(c23, f14(f16(f18(f20(c29, f12(c25, c26)), c23), c22), c27)), true, p3(f14(f16(f18(f20(c29, f12(c25, c26)), c23), c22), c27), c23), true), true, p4(f5(c22, f14(f16(f18(f20(c29, f12(c25, c26)), c23), c22), c27)), f5(c22, c23)), true), true, p21(f5(c22, c23), c27), true))
% 0.22/0.34 = { by axiom 3 (ifeq_axiom) R->L }
% 0.22/0.34 tuple(p21(f5(f7(f10(c24, f12(c25, c26)), c22), c27), c27), ifeq(ifeq(ifeq(true, true, ifeq(p3(c23, f14(f16(f18(f20(c29, f12(c25, c26)), c23), c22), c27)), true, p3(f14(f16(f18(f20(c29, f12(c25, c26)), c23), c22), c27), c23), true), true), true, p4(f5(c22, f14(f16(f18(f20(c29, f12(c25, c26)), c23), c22), c27)), f5(c22, c23)), true), true, p21(f5(c22, c23), c27), true))
% 0.22/0.34 = { by axiom 2 (p3_6) R->L }
% 0.22/0.34 tuple(p21(f5(f7(f10(c24, f12(c25, c26)), c22), c27), c27), ifeq(ifeq(ifeq(p3(c23, c23), true, ifeq(p3(c23, f14(f16(f18(f20(c29, f12(c25, c26)), c23), c22), c27)), true, p3(f14(f16(f18(f20(c29, f12(c25, c26)), c23), c22), c27), c23), true), true), true, p4(f5(c22, f14(f16(f18(f20(c29, f12(c25, c26)), c23), c22), c27)), f5(c22, c23)), true), true, p21(f5(c22, c23), c27), true))
% 0.22/0.34 = { by axiom 5 (p3_17) }
% 0.22/0.34 tuple(p21(f5(f7(f10(c24, f12(c25, c26)), c22), c27), c27), ifeq(ifeq(true, true, p4(f5(c22, f14(f16(f18(f20(c29, f12(c25, c26)), c23), c22), c27)), f5(c22, c23)), true), true, p21(f5(c22, c23), c27), true))
% 0.22/0.34 = { by axiom 3 (ifeq_axiom) }
% 0.22/0.34 tuple(p21(f5(f7(f10(c24, f12(c25, c26)), c22), c27), c27), ifeq(p4(f5(c22, f14(f16(f18(f20(c29, f12(c25, c26)), c23), c22), c27)), f5(c22, c23)), true, p21(f5(c22, c23), c27), true))
% 0.22/0.34 = { by axiom 3 (ifeq_axiom) R->L }
% 0.22/0.34 tuple(p21(f5(f7(f10(c24, f12(c25, c26)), c22), c27), c27), ifeq(true, true, ifeq(p4(f5(c22, f14(f16(f18(f20(c29, f12(c25, c26)), c23), c22), c27)), f5(c22, c23)), true, p21(f5(c22, c23), c27), true), true))
% 0.22/0.34 = { by axiom 10 (p21_36) R->L }
% 0.22/0.34 tuple(p21(f5(f7(f10(c24, f12(c25, c26)), c22), c27), c27), ifeq(ifeq(p21(f5(f7(f10(c24, f12(c28, f12(c25, c26))), c22), c23), c27), true, p21(f5(c22, f14(f16(f18(f20(c29, f12(c25, c26)), c23), c22), c27)), c27), true), true, ifeq(p4(f5(c22, f14(f16(f18(f20(c29, f12(c25, c26)), c23), c22), c27)), f5(c22, c23)), true, p21(f5(c22, c23), c27), true), true))
% 0.22/0.34 = { by axiom 4 (p21_24) }
% 0.22/0.34 tuple(p21(f5(f7(f10(c24, f12(c25, c26)), c22), c27), c27), ifeq(ifeq(true, true, p21(f5(c22, f14(f16(f18(f20(c29, f12(c25, c26)), c23), c22), c27)), c27), true), true, ifeq(p4(f5(c22, f14(f16(f18(f20(c29, f12(c25, c26)), c23), c22), c27)), f5(c22, c23)), true, p21(f5(c22, c23), c27), true), true))
% 0.22/0.34 = { by axiom 3 (ifeq_axiom) }
% 0.22/0.34 tuple(p21(f5(f7(f10(c24, f12(c25, c26)), c22), c27), c27), ifeq(p21(f5(c22, f14(f16(f18(f20(c29, f12(c25, c26)), c23), c22), c27)), c27), true, ifeq(p4(f5(c22, f14(f16(f18(f20(c29, f12(c25, c26)), c23), c22), c27)), f5(c22, c23)), true, p21(f5(c22, c23), c27), true), true))
% 0.22/0.34 = { by axiom 3 (ifeq_axiom) R->L }
% 0.22/0.34 tuple(p21(f5(f7(f10(c24, f12(c25, c26)), c22), c27), c27), ifeq(p21(f5(c22, f14(f16(f18(f20(c29, f12(c25, c26)), c23), c22), c27)), c27), true, ifeq(true, true, ifeq(p4(f5(c22, f14(f16(f18(f20(c29, f12(c25, c26)), c23), c22), c27)), f5(c22, c23)), true, p21(f5(c22, c23), c27), true), true), true))
% 0.22/0.34 = { by axiom 2 (p3_6) R->L }
% 0.22/0.34 tuple(p21(f5(f7(f10(c24, f12(c25, c26)), c22), c27), c27), ifeq(p21(f5(c22, f14(f16(f18(f20(c29, f12(c25, c26)), c23), c22), c27)), c27), true, ifeq(p3(c27, c27), true, ifeq(p4(f5(c22, f14(f16(f18(f20(c29, f12(c25, c26)), c23), c22), c27)), f5(c22, c23)), true, p21(f5(c22, c23), c27), true), true), true))
% 0.22/0.34 = { by axiom 9 (p21_23) }
% 0.22/0.34 tuple(p21(f5(f7(f10(c24, f12(c25, c26)), c22), c27), c27), true)
% 0.22/0.34 = { by axiom 3 (ifeq_axiom) R->L }
% 0.22/0.34 tuple(ifeq(true, true, p21(f5(f7(f10(c24, f12(c25, c26)), c22), c27), c27), true), true)
% 0.22/0.34 = { by axiom 2 (p3_6) R->L }
% 0.22/0.34 tuple(ifeq(p3(c27, c27), true, p21(f5(f7(f10(c24, f12(c25, c26)), c22), c27), c27), true), true)
% 0.22/0.34 = { by axiom 6 (p21_34) }
% 0.22/0.34 tuple(true, true)
% 0.22/0.34 % SZS output end Proof
% 0.22/0.34
% 0.22/0.34 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------