%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN703-1 : 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 01:48:17 PM UTC 2026
% Result : Unsatisfiable 1.06s 0.40s
% Output : Proof 1.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN703-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.05/0.19 % Computer : n006.cluster.edu
% 0.05/0.19 % Model : x86_64 x86_64
% 0.05/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.19 % Memory : 8046.5625MB
% 0.05/0.19 % OS : Linux 6.8.0-71-generic
% 0.05/0.19 % CPULimit : 300
% 0.05/0.19 % WCLimit : 300
% 0.05/0.19 % DateTime : Mon Sep 28 16:46:55 UTC 2026
% 0.05/0.20 % CPUTime :
% 0.05/0.20 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.06/0.40 Command-line arguments: --lhs-weight 9 --flip-ordering --complete-subsets --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 1.06/0.40
% 1.06/0.40 % SZS status Unsatisfiable
% 1.06/0.40
% 1.06/0.42 % SZS output start Proof
% 1.06/0.42 Axiom 1 (p15_5): p15(X, X) = true.
% 1.06/0.42 Axiom 2 (p2_8): p2(X, X) = true.
% 1.06/0.42 Axiom 3 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 1.06/0.42 Axiom 4 (p47_77): p47(f5(c48, f16(f18(c54, f8(f11(f13(c49, c50), c51), c52)), c55)), c53) = true.
% 1.06/0.42 Axiom 5 (p47_76): ifeq(p47(X, Y), true, p47(f5(c48, f8(f11(f13(c49, X), Z), W)), Y), true) = true.
% 1.06/0.42 Axiom 6 (p47_74): ifeq(p47(f5(c48, f8(f11(f13(c49, X), Y), Z)), W), true, p47(X, W), true) = true.
% 1.06/0.42 Axiom 7 (p47_75): ifeq(p47(f20(f22(f24(f26(c56, X), Y), Z), W), V), true, p47(X, V), true) = true.
% 1.06/0.42 Axiom 8 (p4_60): ifeq(p3(X, Y), true, ifeq(p2(Z, W), true, p4(f5(Z, X), f5(W, Y)), true), true) = true.
% 1.06/0.42 Axiom 9 (p47_53): ifeq(p47(X, Y), true, ifeq(p4(X, Z), true, ifeq(p15(Y, W), true, p47(Z, W), true), true), true) = true.
% 1.06/0.42 Axiom 10 (p3_80): p3(f16(f18(c54, f8(f11(f13(c49, X), Y), Z)), W), f8(f11(f13(c49, f20(f22(f24(f26(c56, X), Y), Z), W)), f30(f32(f34(f36(c57, X), Y), Z), W)), f40(f42(f44(f46(c58, X), Y), Z), W))) = true.
% 1.06/0.42
% 1.06/0.42 Goal 1 (not_p47_51): p47(f5(c48, f8(f11(f13(c49, c50), c51), c52)), c53) = true.
% 1.06/0.42 Proof:
% 1.06/0.42 p47(f5(c48, f8(f11(f13(c49, c50), c51), c52)), c53)
% 1.06/0.42 = { by axiom 3 (ifeq_axiom) R->L }
% 1.06/0.42 ifeq(true, true, p47(f5(c48, f8(f11(f13(c49, c50), c51), c52)), c53), true)
% 1.06/0.42 = { by axiom 7 (p47_75) R->L }
% 1.06/0.42 ifeq(ifeq(p47(f20(f22(f24(f26(c56, c50), c51), c52), c55), c53), true, p47(c50, c53), true), true, p47(f5(c48, f8(f11(f13(c49, c50), c51), c52)), c53), true)
% 1.06/0.42 = { by axiom 3 (ifeq_axiom) R->L }
% 1.06/0.42 ifeq(ifeq(ifeq(true, true, p47(f20(f22(f24(f26(c56, c50), c51), c52), c55), c53), true), true, p47(c50, c53), true), true, p47(f5(c48, f8(f11(f13(c49, c50), c51), c52)), c53), true)
% 1.06/0.42 = { by axiom 9 (p47_53) R->L }
% 1.06/0.42 ifeq(ifeq(ifeq(ifeq(p47(f5(c48, f16(f18(c54, f8(f11(f13(c49, c50), c51), c52)), c55)), c53), true, ifeq(p4(f5(c48, f16(f18(c54, f8(f11(f13(c49, c50), c51), c52)), c55)), f5(c48, f8(f11(f13(c49, f20(f22(f24(f26(c56, c50), c51), c52), c55)), f30(f32(f34(f36(c57, c50), c51), c52), c55)), f40(f42(f44(f46(c58, c50), c51), c52), c55)))), true, ifeq(p15(c53, c53), true, p47(f5(c48, f8(f11(f13(c49, f20(f22(f24(f26(c56, c50), c51), c52), c55)), f30(f32(f34(f36(c57, c50), c51), c52), c55)), f40(f42(f44(f46(c58, c50), c51), c52), c55))), c53), true), true), true), true, p47(f20(f22(f24(f26(c56, c50), c51), c52), c55), c53), true), true, p47(c50, c53), true), true, p47(f5(c48, f8(f11(f13(c49, c50), c51), c52)), c53), true)
% 1.06/0.42 = { by axiom 1 (p15_5) }
% 1.06/0.42 ifeq(ifeq(ifeq(ifeq(p47(f5(c48, f16(f18(c54, f8(f11(f13(c49, c50), c51), c52)), c55)), c53), true, ifeq(p4(f5(c48, f16(f18(c54, f8(f11(f13(c49, c50), c51), c52)), c55)), f5(c48, f8(f11(f13(c49, f20(f22(f24(f26(c56, c50), c51), c52), c55)), f30(f32(f34(f36(c57, c50), c51), c52), c55)), f40(f42(f44(f46(c58, c50), c51), c52), c55)))), true, ifeq(true, true, p47(f5(c48, f8(f11(f13(c49, f20(f22(f24(f26(c56, c50), c51), c52), c55)), f30(f32(f34(f36(c57, c50), c51), c52), c55)), f40(f42(f44(f46(c58, c50), c51), c52), c55))), c53), true), true), true), true, p47(f20(f22(f24(f26(c56, c50), c51), c52), c55), c53), true), true, p47(c50, c53), true), true, p47(f5(c48, f8(f11(f13(c49, c50), c51), c52)), c53), true)
% 1.06/0.42 = { by axiom 3 (ifeq_axiom) }
% 1.06/0.42 ifeq(ifeq(ifeq(ifeq(p47(f5(c48, f16(f18(c54, f8(f11(f13(c49, c50), c51), c52)), c55)), c53), true, ifeq(p4(f5(c48, f16(f18(c54, f8(f11(f13(c49, c50), c51), c52)), c55)), f5(c48, f8(f11(f13(c49, f20(f22(f24(f26(c56, c50), c51), c52), c55)), f30(f32(f34(f36(c57, c50), c51), c52), c55)), f40(f42(f44(f46(c58, c50), c51), c52), c55)))), true, p47(f5(c48, f8(f11(f13(c49, f20(f22(f24(f26(c56, c50), c51), c52), c55)), f30(f32(f34(f36(c57, c50), c51), c52), c55)), f40(f42(f44(f46(c58, c50), c51), c52), c55))), c53), true), true), true, p47(f20(f22(f24(f26(c56, c50), c51), c52), c55), c53), true), true, p47(c50, c53), true), true, p47(f5(c48, f8(f11(f13(c49, c50), c51), c52)), c53), true)
% 1.06/0.42 = { by axiom 4 (p47_77) }
% 1.06/0.42 ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p4(f5(c48, f16(f18(c54, f8(f11(f13(c49, c50), c51), c52)), c55)), f5(c48, f8(f11(f13(c49, f20(f22(f24(f26(c56, c50), c51), c52), c55)), f30(f32(f34(f36(c57, c50), c51), c52), c55)), f40(f42(f44(f46(c58, c50), c51), c52), c55)))), true, p47(f5(c48, f8(f11(f13(c49, f20(f22(f24(f26(c56, c50), c51), c52), c55)), f30(f32(f34(f36(c57, c50), c51), c52), c55)), f40(f42(f44(f46(c58, c50), c51), c52), c55))), c53), true), true), true, p47(f20(f22(f24(f26(c56, c50), c51), c52), c55), c53), true), true, p47(c50, c53), true), true, p47(f5(c48, f8(f11(f13(c49, c50), c51), c52)), c53), true)
% 1.06/0.42 = { by axiom 3 (ifeq_axiom) }
% 1.06/0.42 ifeq(ifeq(ifeq(ifeq(p4(f5(c48, f16(f18(c54, f8(f11(f13(c49, c50), c51), c52)), c55)), f5(c48, f8(f11(f13(c49, f20(f22(f24(f26(c56, c50), c51), c52), c55)), f30(f32(f34(f36(c57, c50), c51), c52), c55)), f40(f42(f44(f46(c58, c50), c51), c52), c55)))), true, p47(f5(c48, f8(f11(f13(c49, f20(f22(f24(f26(c56, c50), c51), c52), c55)), f30(f32(f34(f36(c57, c50), c51), c52), c55)), f40(f42(f44(f46(c58, c50), c51), c52), c55))), c53), true), true, p47(f20(f22(f24(f26(c56, c50), c51), c52), c55), c53), true), true, p47(c50, c53), true), true, p47(f5(c48, f8(f11(f13(c49, c50), c51), c52)), c53), true)
% 1.06/0.42 = { by axiom 3 (ifeq_axiom) R->L }
% 1.06/0.42 ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p4(f5(c48, f16(f18(c54, f8(f11(f13(c49, c50), c51), c52)), c55)), f5(c48, f8(f11(f13(c49, f20(f22(f24(f26(c56, c50), c51), c52), c55)), f30(f32(f34(f36(c57, c50), c51), c52), c55)), f40(f42(f44(f46(c58, c50), c51), c52), c55)))), true), true, p47(f5(c48, f8(f11(f13(c49, f20(f22(f24(f26(c56, c50), c51), c52), c55)), f30(f32(f34(f36(c57, c50), c51), c52), c55)), f40(f42(f44(f46(c58, c50), c51), c52), c55))), c53), true), true, p47(f20(f22(f24(f26(c56, c50), c51), c52), c55), c53), true), true, p47(c50, c53), true), true, p47(f5(c48, f8(f11(f13(c49, c50), c51), c52)), c53), true)
% 1.06/0.42 = { by axiom 10 (p3_80) R->L }
% 1.06/0.42 ifeq(ifeq(ifeq(ifeq(ifeq(p3(f16(f18(c54, f8(f11(f13(c49, c50), c51), c52)), c55), f8(f11(f13(c49, f20(f22(f24(f26(c56, c50), c51), c52), c55)), f30(f32(f34(f36(c57, c50), c51), c52), c55)), f40(f42(f44(f46(c58, c50), c51), c52), c55))), true, p4(f5(c48, f16(f18(c54, f8(f11(f13(c49, c50), c51), c52)), c55)), f5(c48, f8(f11(f13(c49, f20(f22(f24(f26(c56, c50), c51), c52), c55)), f30(f32(f34(f36(c57, c50), c51), c52), c55)), f40(f42(f44(f46(c58, c50), c51), c52), c55)))), true), true, p47(f5(c48, f8(f11(f13(c49, f20(f22(f24(f26(c56, c50), c51), c52), c55)), f30(f32(f34(f36(c57, c50), c51), c52), c55)), f40(f42(f44(f46(c58, c50), c51), c52), c55))), c53), true), true, p47(f20(f22(f24(f26(c56, c50), c51), c52), c55), c53), true), true, p47(c50, c53), true), true, p47(f5(c48, f8(f11(f13(c49, c50), c51), c52)), c53), true)
% 1.06/0.42 = { by axiom 3 (ifeq_axiom) R->L }
% 1.06/0.42 ifeq(ifeq(ifeq(ifeq(ifeq(p3(f16(f18(c54, f8(f11(f13(c49, c50), c51), c52)), c55), f8(f11(f13(c49, f20(f22(f24(f26(c56, c50), c51), c52), c55)), f30(f32(f34(f36(c57, c50), c51), c52), c55)), f40(f42(f44(f46(c58, c50), c51), c52), c55))), true, ifeq(true, true, p4(f5(c48, f16(f18(c54, f8(f11(f13(c49, c50), c51), c52)), c55)), f5(c48, f8(f11(f13(c49, f20(f22(f24(f26(c56, c50), c51), c52), c55)), f30(f32(f34(f36(c57, c50), c51), c52), c55)), f40(f42(f44(f46(c58, c50), c51), c52), c55)))), true), true), true, p47(f5(c48, f8(f11(f13(c49, f20(f22(f24(f26(c56, c50), c51), c52), c55)), f30(f32(f34(f36(c57, c50), c51), c52), c55)), f40(f42(f44(f46(c58, c50), c51), c52), c55))), c53), true), true, p47(f20(f22(f24(f26(c56, c50), c51), c52), c55), c53), true), true, p47(c50, c53), true), true, p47(f5(c48, f8(f11(f13(c49, c50), c51), c52)), c53), true)
% 1.06/0.42 = { by axiom 2 (p2_8) R->L }
% 1.06/0.42 ifeq(ifeq(ifeq(ifeq(ifeq(p3(f16(f18(c54, f8(f11(f13(c49, c50), c51), c52)), c55), f8(f11(f13(c49, f20(f22(f24(f26(c56, c50), c51), c52), c55)), f30(f32(f34(f36(c57, c50), c51), c52), c55)), f40(f42(f44(f46(c58, c50), c51), c52), c55))), true, ifeq(p2(c48, c48), true, p4(f5(c48, f16(f18(c54, f8(f11(f13(c49, c50), c51), c52)), c55)), f5(c48, f8(f11(f13(c49, f20(f22(f24(f26(c56, c50), c51), c52), c55)), f30(f32(f34(f36(c57, c50), c51), c52), c55)), f40(f42(f44(f46(c58, c50), c51), c52), c55)))), true), true), true, p47(f5(c48, f8(f11(f13(c49, f20(f22(f24(f26(c56, c50), c51), c52), c55)), f30(f32(f34(f36(c57, c50), c51), c52), c55)), f40(f42(f44(f46(c58, c50), c51), c52), c55))), c53), true), true, p47(f20(f22(f24(f26(c56, c50), c51), c52), c55), c53), true), true, p47(c50, c53), true), true, p47(f5(c48, f8(f11(f13(c49, c50), c51), c52)), c53), true)
% 1.06/0.42 = { by axiom 8 (p4_60) }
% 1.06/0.42 ifeq(ifeq(ifeq(ifeq(true, true, p47(f5(c48, f8(f11(f13(c49, f20(f22(f24(f26(c56, c50), c51), c52), c55)), f30(f32(f34(f36(c57, c50), c51), c52), c55)), f40(f42(f44(f46(c58, c50), c51), c52), c55))), c53), true), true, p47(f20(f22(f24(f26(c56, c50), c51), c52), c55), c53), true), true, p47(c50, c53), true), true, p47(f5(c48, f8(f11(f13(c49, c50), c51), c52)), c53), true)
% 1.06/0.42 = { by axiom 3 (ifeq_axiom) }
% 1.06/0.42 ifeq(ifeq(ifeq(p47(f5(c48, f8(f11(f13(c49, f20(f22(f24(f26(c56, c50), c51), c52), c55)), f30(f32(f34(f36(c57, c50), c51), c52), c55)), f40(f42(f44(f46(c58, c50), c51), c52), c55))), c53), true, p47(f20(f22(f24(f26(c56, c50), c51), c52), c55), c53), true), true, p47(c50, c53), true), true, p47(f5(c48, f8(f11(f13(c49, c50), c51), c52)), c53), true)
% 1.06/0.42 = { by axiom 6 (p47_74) }
% 1.06/0.42 ifeq(ifeq(true, true, p47(c50, c53), true), true, p47(f5(c48, f8(f11(f13(c49, c50), c51), c52)), c53), true)
% 1.06/0.42 = { by axiom 3 (ifeq_axiom) }
% 1.06/0.42 ifeq(p47(c50, c53), true, p47(f5(c48, f8(f11(f13(c49, c50), c51), c52)), c53), true)
% 1.06/0.42 = { by axiom 5 (p47_76) }
% 1.06/0.42 true
% 1.06/0.43 % SZS output end Proof
% 1.06/0.43
% 1.06/0.43 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------