%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN709-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 01:48:18 PM UTC 2026
% Result : Unsatisfiable 0.28s 0.37s
% Output : Proof 0.28s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN709-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.18 % Computer : n008.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 16:49:24 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.28/0.37 Command-line arguments: --lhs-weight 9 --flip-ordering --complete-subsets --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 0.28/0.37
% 0.28/0.37 % SZS status Unsatisfiable
% 0.28/0.37
% 0.28/0.37 % SZS output start Proof
% 0.28/0.37 Axiom 1 (p19_21): p19(X, X) = true.
% 0.28/0.37 Axiom 2 (p29_14): p29(X, X) = true.
% 0.28/0.37 Axiom 3 (p30_12): p30(X, X) = true.
% 0.28/0.37 Axiom 4 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.28/0.37 Axiom 5 (p46_29): p46(f23(c58, c56), f20(c59, c60)) = true.
% 0.28/0.37 Axiom 6 (p19_59): p19(f25(f28(c64, X), f34(c66, Y)), f34(X, Y)) = true.
% 0.28/0.37 Axiom 7 (p19_53): ifeq(p19(X, Y), true, ifeq(p19(X, Z), true, p19(Z, Y), true), true) = true.
% 0.28/0.37 Axiom 8 (p30_44): ifeq(p30(X, Y), true, ifeq(p30(X, Z), true, p30(Z, Y), true), true) = true.
% 0.28/0.37 Axiom 9 (p30_72): ifeq(p19(X, Y), true, ifeq(p29(Z, W), true, p30(f31(Z, X), f31(W, Y)), true), true) = true.
% 0.28/0.37 Axiom 10 (p47_81): ifeq(p46(f23(c58, X), f20(c59, Y)), true, p47(f31(f33(c62, c63), f34(c66, X)), Y), true) = true.
% 0.28/0.37 Axiom 11 (p47_60): ifeq(p47(X, Y), true, ifeq(p19(Y, Z), true, ifeq(p30(X, W), true, p47(W, Z), true), true), true) = true.
% 0.28/0.37 Axiom 12 (p47_83): ifeq(p47(f31(f33(c62, c63), X), Y), true, p47(f31(f33(c62, c63), f25(f28(c64, c65), X)), f25(f28(c64, c65), Y)), true) = true.
% 0.28/0.37
% 0.28/0.37 Goal 1 (not_p47_64): p47(f31(f33(c62, c63), f34(c65, c56)), f25(f28(c64, c65), c60)) = true.
% 0.28/0.37 Proof:
% 0.28/0.37 p47(f31(f33(c62, c63), f34(c65, c56)), f25(f28(c64, c65), c60))
% 0.28/0.37 = { by axiom 4 (ifeq_axiom) R->L }
% 0.28/0.37 ifeq(true, true, p47(f31(f33(c62, c63), f34(c65, c56)), f25(f28(c64, c65), c60)), true)
% 0.28/0.37 = { by axiom 8 (p30_44) R->L }
% 0.28/0.37 ifeq(ifeq(p30(f31(f33(c62, c63), f34(c65, c56)), f31(f33(c62, c63), f34(c65, c56))), true, ifeq(p30(f31(f33(c62, c63), f34(c65, c56)), f31(f33(c62, c63), f25(f28(c64, c65), f34(c66, c56)))), true, p30(f31(f33(c62, c63), f25(f28(c64, c65), f34(c66, c56))), f31(f33(c62, c63), f34(c65, c56))), true), true), true, p47(f31(f33(c62, c63), f34(c65, c56)), f25(f28(c64, c65), c60)), true)
% 0.28/0.37 = { by axiom 3 (p30_12) }
% 0.28/0.37 ifeq(ifeq(true, true, ifeq(p30(f31(f33(c62, c63), f34(c65, c56)), f31(f33(c62, c63), f25(f28(c64, c65), f34(c66, c56)))), true, p30(f31(f33(c62, c63), f25(f28(c64, c65), f34(c66, c56))), f31(f33(c62, c63), f34(c65, c56))), true), true), true, p47(f31(f33(c62, c63), f34(c65, c56)), f25(f28(c64, c65), c60)), true)
% 0.28/0.37 = { by axiom 4 (ifeq_axiom) }
% 0.28/0.37 ifeq(ifeq(p30(f31(f33(c62, c63), f34(c65, c56)), f31(f33(c62, c63), f25(f28(c64, c65), f34(c66, c56)))), true, p30(f31(f33(c62, c63), f25(f28(c64, c65), f34(c66, c56))), f31(f33(c62, c63), f34(c65, c56))), true), true, p47(f31(f33(c62, c63), f34(c65, c56)), f25(f28(c64, c65), c60)), true)
% 0.28/0.37 = { by axiom 4 (ifeq_axiom) R->L }
% 0.28/0.37 ifeq(ifeq(ifeq(true, true, p30(f31(f33(c62, c63), f34(c65, c56)), f31(f33(c62, c63), f25(f28(c64, c65), f34(c66, c56)))), true), true, p30(f31(f33(c62, c63), f25(f28(c64, c65), f34(c66, c56))), f31(f33(c62, c63), f34(c65, c56))), true), true, p47(f31(f33(c62, c63), f34(c65, c56)), f25(f28(c64, c65), c60)), true)
% 0.28/0.37 = { by axiom 7 (p19_53) R->L }
% 0.28/0.37 ifeq(ifeq(ifeq(ifeq(p19(f25(f28(c64, c65), f34(c66, c56)), f25(f28(c64, c65), f34(c66, c56))), true, ifeq(p19(f25(f28(c64, c65), f34(c66, c56)), f34(c65, c56)), true, p19(f34(c65, c56), f25(f28(c64, c65), f34(c66, c56))), true), true), true, p30(f31(f33(c62, c63), f34(c65, c56)), f31(f33(c62, c63), f25(f28(c64, c65), f34(c66, c56)))), true), true, p30(f31(f33(c62, c63), f25(f28(c64, c65), f34(c66, c56))), f31(f33(c62, c63), f34(c65, c56))), true), true, p47(f31(f33(c62, c63), f34(c65, c56)), f25(f28(c64, c65), c60)), true)
% 0.28/0.37 = { by axiom 1 (p19_21) }
% 0.28/0.37 ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p19(f25(f28(c64, c65), f34(c66, c56)), f34(c65, c56)), true, p19(f34(c65, c56), f25(f28(c64, c65), f34(c66, c56))), true), true), true, p30(f31(f33(c62, c63), f34(c65, c56)), f31(f33(c62, c63), f25(f28(c64, c65), f34(c66, c56)))), true), true, p30(f31(f33(c62, c63), f25(f28(c64, c65), f34(c66, c56))), f31(f33(c62, c63), f34(c65, c56))), true), true, p47(f31(f33(c62, c63), f34(c65, c56)), f25(f28(c64, c65), c60)), true)
% 0.28/0.37 = { by axiom 4 (ifeq_axiom) }
% 0.28/0.37 ifeq(ifeq(ifeq(ifeq(p19(f25(f28(c64, c65), f34(c66, c56)), f34(c65, c56)), true, p19(f34(c65, c56), f25(f28(c64, c65), f34(c66, c56))), true), true, p30(f31(f33(c62, c63), f34(c65, c56)), f31(f33(c62, c63), f25(f28(c64, c65), f34(c66, c56)))), true), true, p30(f31(f33(c62, c63), f25(f28(c64, c65), f34(c66, c56))), f31(f33(c62, c63), f34(c65, c56))), true), true, p47(f31(f33(c62, c63), f34(c65, c56)), f25(f28(c64, c65), c60)), true)
% 0.28/0.37 = { by axiom 6 (p19_59) }
% 0.28/0.37 ifeq(ifeq(ifeq(ifeq(true, true, p19(f34(c65, c56), f25(f28(c64, c65), f34(c66, c56))), true), true, p30(f31(f33(c62, c63), f34(c65, c56)), f31(f33(c62, c63), f25(f28(c64, c65), f34(c66, c56)))), true), true, p30(f31(f33(c62, c63), f25(f28(c64, c65), f34(c66, c56))), f31(f33(c62, c63), f34(c65, c56))), true), true, p47(f31(f33(c62, c63), f34(c65, c56)), f25(f28(c64, c65), c60)), true)
% 0.28/0.38 = { by axiom 4 (ifeq_axiom) }
% 0.28/0.38 ifeq(ifeq(ifeq(p19(f34(c65, c56), f25(f28(c64, c65), f34(c66, c56))), true, p30(f31(f33(c62, c63), f34(c65, c56)), f31(f33(c62, c63), f25(f28(c64, c65), f34(c66, c56)))), true), true, p30(f31(f33(c62, c63), f25(f28(c64, c65), f34(c66, c56))), f31(f33(c62, c63), f34(c65, c56))), true), true, p47(f31(f33(c62, c63), f34(c65, c56)), f25(f28(c64, c65), c60)), true)
% 0.28/0.38 = { by axiom 4 (ifeq_axiom) R->L }
% 0.28/0.38 ifeq(ifeq(ifeq(p19(f34(c65, c56), f25(f28(c64, c65), f34(c66, c56))), true, ifeq(true, true, p30(f31(f33(c62, c63), f34(c65, c56)), f31(f33(c62, c63), f25(f28(c64, c65), f34(c66, c56)))), true), true), true, p30(f31(f33(c62, c63), f25(f28(c64, c65), f34(c66, c56))), f31(f33(c62, c63), f34(c65, c56))), true), true, p47(f31(f33(c62, c63), f34(c65, c56)), f25(f28(c64, c65), c60)), true)
% 0.28/0.38 = { by axiom 2 (p29_14) R->L }
% 0.28/0.38 ifeq(ifeq(ifeq(p19(f34(c65, c56), f25(f28(c64, c65), f34(c66, c56))), true, ifeq(p29(f33(c62, c63), f33(c62, c63)), true, p30(f31(f33(c62, c63), f34(c65, c56)), f31(f33(c62, c63), f25(f28(c64, c65), f34(c66, c56)))), true), true), true, p30(f31(f33(c62, c63), f25(f28(c64, c65), f34(c66, c56))), f31(f33(c62, c63), f34(c65, c56))), true), true, p47(f31(f33(c62, c63), f34(c65, c56)), f25(f28(c64, c65), c60)), true)
% 0.28/0.38 = { by axiom 9 (p30_72) }
% 0.28/0.38 ifeq(ifeq(true, true, p30(f31(f33(c62, c63), f25(f28(c64, c65), f34(c66, c56))), f31(f33(c62, c63), f34(c65, c56))), true), true, p47(f31(f33(c62, c63), f34(c65, c56)), f25(f28(c64, c65), c60)), true)
% 0.28/0.38 = { by axiom 4 (ifeq_axiom) }
% 0.28/0.38 ifeq(p30(f31(f33(c62, c63), f25(f28(c64, c65), f34(c66, c56))), f31(f33(c62, c63), f34(c65, c56))), true, p47(f31(f33(c62, c63), f34(c65, c56)), f25(f28(c64, c65), c60)), true)
% 0.28/0.38 = { by axiom 4 (ifeq_axiom) R->L }
% 0.28/0.38 ifeq(true, true, ifeq(p30(f31(f33(c62, c63), f25(f28(c64, c65), f34(c66, c56))), f31(f33(c62, c63), f34(c65, c56))), true, p47(f31(f33(c62, c63), f34(c65, c56)), f25(f28(c64, c65), c60)), true), true)
% 0.28/0.38 = { by axiom 12 (p47_83) R->L }
% 0.28/0.38 ifeq(ifeq(p47(f31(f33(c62, c63), f34(c66, c56)), c60), true, p47(f31(f33(c62, c63), f25(f28(c64, c65), f34(c66, c56))), f25(f28(c64, c65), c60)), true), true, ifeq(p30(f31(f33(c62, c63), f25(f28(c64, c65), f34(c66, c56))), f31(f33(c62, c63), f34(c65, c56))), true, p47(f31(f33(c62, c63), f34(c65, c56)), f25(f28(c64, c65), c60)), true), true)
% 0.28/0.38 = { by axiom 4 (ifeq_axiom) R->L }
% 0.28/0.38 ifeq(ifeq(ifeq(true, true, p47(f31(f33(c62, c63), f34(c66, c56)), c60), true), true, p47(f31(f33(c62, c63), f25(f28(c64, c65), f34(c66, c56))), f25(f28(c64, c65), c60)), true), true, ifeq(p30(f31(f33(c62, c63), f25(f28(c64, c65), f34(c66, c56))), f31(f33(c62, c63), f34(c65, c56))), true, p47(f31(f33(c62, c63), f34(c65, c56)), f25(f28(c64, c65), c60)), true), true)
% 0.28/0.38 = { by axiom 5 (p46_29) R->L }
% 0.28/0.38 ifeq(ifeq(ifeq(p46(f23(c58, c56), f20(c59, c60)), true, p47(f31(f33(c62, c63), f34(c66, c56)), c60), true), true, p47(f31(f33(c62, c63), f25(f28(c64, c65), f34(c66, c56))), f25(f28(c64, c65), c60)), true), true, ifeq(p30(f31(f33(c62, c63), f25(f28(c64, c65), f34(c66, c56))), f31(f33(c62, c63), f34(c65, c56))), true, p47(f31(f33(c62, c63), f34(c65, c56)), f25(f28(c64, c65), c60)), true), true)
% 0.28/0.38 = { by axiom 10 (p47_81) }
% 0.28/0.38 ifeq(ifeq(true, true, p47(f31(f33(c62, c63), f25(f28(c64, c65), f34(c66, c56))), f25(f28(c64, c65), c60)), true), true, ifeq(p30(f31(f33(c62, c63), f25(f28(c64, c65), f34(c66, c56))), f31(f33(c62, c63), f34(c65, c56))), true, p47(f31(f33(c62, c63), f34(c65, c56)), f25(f28(c64, c65), c60)), true), true)
% 0.28/0.38 = { by axiom 4 (ifeq_axiom) }
% 0.28/0.38 ifeq(p47(f31(f33(c62, c63), f25(f28(c64, c65), f34(c66, c56))), f25(f28(c64, c65), c60)), true, ifeq(p30(f31(f33(c62, c63), f25(f28(c64, c65), f34(c66, c56))), f31(f33(c62, c63), f34(c65, c56))), true, p47(f31(f33(c62, c63), f34(c65, c56)), f25(f28(c64, c65), c60)), true), true)
% 0.28/0.38 = { by axiom 4 (ifeq_axiom) R->L }
% 0.28/0.38 ifeq(p47(f31(f33(c62, c63), f25(f28(c64, c65), f34(c66, c56))), f25(f28(c64, c65), c60)), true, ifeq(true, true, ifeq(p30(f31(f33(c62, c63), f25(f28(c64, c65), f34(c66, c56))), f31(f33(c62, c63), f34(c65, c56))), true, p47(f31(f33(c62, c63), f34(c65, c56)), f25(f28(c64, c65), c60)), true), true), true)
% 0.28/0.38 = { by axiom 1 (p19_21) R->L }
% 0.28/0.38 ifeq(p47(f31(f33(c62, c63), f25(f28(c64, c65), f34(c66, c56))), f25(f28(c64, c65), c60)), true, ifeq(p19(f25(f28(c64, c65), c60), f25(f28(c64, c65), c60)), true, ifeq(p30(f31(f33(c62, c63), f25(f28(c64, c65), f34(c66, c56))), f31(f33(c62, c63), f34(c65, c56))), true, p47(f31(f33(c62, c63), f34(c65, c56)), f25(f28(c64, c65), c60)), true), true), true)
% 0.28/0.38 = { by axiom 11 (p47_60) }
% 0.28/0.38 true
% 0.28/0.38 % SZS output end Proof
% 0.28/0.38
% 0.28/0.38 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------