%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN702-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 1.12s 0.40s
% Output : Proof 1.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN702-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.20 % Computer : n018.cluster.edu
% 0.07/0.20 % Model : x86_64 x86_64
% 0.07/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.20 % Memory : 8046.5625MB
% 0.07/0.20 % OS : Linux 6.8.0-71-generic
% 0.07/0.20 % CPULimit : 300
% 0.07/0.20 % WCLimit : 300
% 0.07/0.20 % DateTime : Mon Sep 28 16:49:25 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.12/0.40 Command-line arguments: --lhs-weight 1 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10 --complete-subsets --ground-joining-incomplete-limit 15 --flatten-regeneralise
% 1.12/0.40
% 1.12/0.40 % SZS status Unsatisfiable
% 1.12/0.40
% 1.12/0.41 % SZS output start Proof
% 1.12/0.41 Axiom 1 (p7_3): p7(X, X) = true.
% 1.12/0.41 Axiom 2 (p2_20): p2(X, X) = true.
% 1.12/0.41 Axiom 3 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 1.12/0.41 Axiom 4 (p47_76): p47(f5(c48, f8(f10(c49, f13(f16(f18(c50, c51), c52), c53)), c54)), c54) = true.
% 1.12/0.41 Axiom 5 (p47_73): ifeq(p47(f5(c48, f13(f16(f18(c50, X), Y), Z)), W), true, p47(X, W), true) = true.
% 1.12/0.41 Axiom 6 (p4_57): ifeq(p2(X, Y), true, ifeq(p3(Z, W), true, p4(f5(X, Z), f5(Y, W)), true), true) = true.
% 1.12/0.41 Axiom 7 (p47_52): ifeq(p47(X, Y), true, ifeq(p4(X, Z), true, ifeq(p7(Y, W), true, p47(Z, W), true), true), true) = true.
% 1.12/0.41 Axiom 8 (p3_79): p3(f8(f10(c49, f13(f16(f18(c50, X), Y), Z)), W), f13(f16(f18(c50, f20(f22(f24(f26(c55, X), Y), Z), W)), f30(f32(f34(f36(c56, X), Y), Z), W)), f40(f42(f44(f46(c57, X), Y), Z), W))) = true.
% 1.12/0.41
% 1.12/0.41 Goal 1 (not_p47_51): p47(f20(f22(f24(f26(c55, X), Y), Z), W), W) = true.
% 1.12/0.41 The goal is true when:
% 1.12/0.41 X = c51
% 1.12/0.41 Y = c52
% 1.12/0.41 Z = c53
% 1.12/0.41 W = c54
% 1.12/0.41
% 1.12/0.41 Proof:
% 1.12/0.41 p47(f20(f22(f24(f26(c55, c51), c52), c53), c54), c54)
% 1.12/0.41 = { by axiom 3 (ifeq_axiom) R->L }
% 1.12/0.41 ifeq(true, true, p47(f20(f22(f24(f26(c55, c51), c52), c53), c54), c54), true)
% 1.12/0.41 = { by axiom 7 (p47_52) R->L }
% 1.12/0.41 ifeq(ifeq(p47(f5(c48, f8(f10(c49, f13(f16(f18(c50, c51), c52), c53)), c54)), c54), true, ifeq(p4(f5(c48, f8(f10(c49, f13(f16(f18(c50, c51), c52), c53)), c54)), f5(c48, f13(f16(f18(c50, f20(f22(f24(f26(c55, c51), c52), c53), c54)), f30(f32(f34(f36(c56, c51), c52), c53), c54)), f40(f42(f44(f46(c57, c51), c52), c53), c54)))), true, ifeq(p7(c54, c54), true, p47(f5(c48, f13(f16(f18(c50, f20(f22(f24(f26(c55, c51), c52), c53), c54)), f30(f32(f34(f36(c56, c51), c52), c53), c54)), f40(f42(f44(f46(c57, c51), c52), c53), c54))), c54), true), true), true), true, p47(f20(f22(f24(f26(c55, c51), c52), c53), c54), c54), true)
% 1.12/0.41 = { by axiom 1 (p7_3) }
% 1.12/0.41 ifeq(ifeq(p47(f5(c48, f8(f10(c49, f13(f16(f18(c50, c51), c52), c53)), c54)), c54), true, ifeq(p4(f5(c48, f8(f10(c49, f13(f16(f18(c50, c51), c52), c53)), c54)), f5(c48, f13(f16(f18(c50, f20(f22(f24(f26(c55, c51), c52), c53), c54)), f30(f32(f34(f36(c56, c51), c52), c53), c54)), f40(f42(f44(f46(c57, c51), c52), c53), c54)))), true, ifeq(true, true, p47(f5(c48, f13(f16(f18(c50, f20(f22(f24(f26(c55, c51), c52), c53), c54)), f30(f32(f34(f36(c56, c51), c52), c53), c54)), f40(f42(f44(f46(c57, c51), c52), c53), c54))), c54), true), true), true), true, p47(f20(f22(f24(f26(c55, c51), c52), c53), c54), c54), true)
% 1.12/0.41 = { by axiom 3 (ifeq_axiom) }
% 1.12/0.41 ifeq(ifeq(p47(f5(c48, f8(f10(c49, f13(f16(f18(c50, c51), c52), c53)), c54)), c54), true, ifeq(p4(f5(c48, f8(f10(c49, f13(f16(f18(c50, c51), c52), c53)), c54)), f5(c48, f13(f16(f18(c50, f20(f22(f24(f26(c55, c51), c52), c53), c54)), f30(f32(f34(f36(c56, c51), c52), c53), c54)), f40(f42(f44(f46(c57, c51), c52), c53), c54)))), true, p47(f5(c48, f13(f16(f18(c50, f20(f22(f24(f26(c55, c51), c52), c53), c54)), f30(f32(f34(f36(c56, c51), c52), c53), c54)), f40(f42(f44(f46(c57, c51), c52), c53), c54))), c54), true), true), true, p47(f20(f22(f24(f26(c55, c51), c52), c53), c54), c54), true)
% 1.12/0.41 = { by axiom 4 (p47_76) }
% 1.12/0.41 ifeq(ifeq(true, true, ifeq(p4(f5(c48, f8(f10(c49, f13(f16(f18(c50, c51), c52), c53)), c54)), f5(c48, f13(f16(f18(c50, f20(f22(f24(f26(c55, c51), c52), c53), c54)), f30(f32(f34(f36(c56, c51), c52), c53), c54)), f40(f42(f44(f46(c57, c51), c52), c53), c54)))), true, p47(f5(c48, f13(f16(f18(c50, f20(f22(f24(f26(c55, c51), c52), c53), c54)), f30(f32(f34(f36(c56, c51), c52), c53), c54)), f40(f42(f44(f46(c57, c51), c52), c53), c54))), c54), true), true), true, p47(f20(f22(f24(f26(c55, c51), c52), c53), c54), c54), true)
% 1.12/0.41 = { by axiom 3 (ifeq_axiom) }
% 1.12/0.41 ifeq(ifeq(p4(f5(c48, f8(f10(c49, f13(f16(f18(c50, c51), c52), c53)), c54)), f5(c48, f13(f16(f18(c50, f20(f22(f24(f26(c55, c51), c52), c53), c54)), f30(f32(f34(f36(c56, c51), c52), c53), c54)), f40(f42(f44(f46(c57, c51), c52), c53), c54)))), true, p47(f5(c48, f13(f16(f18(c50, f20(f22(f24(f26(c55, c51), c52), c53), c54)), f30(f32(f34(f36(c56, c51), c52), c53), c54)), f40(f42(f44(f46(c57, c51), c52), c53), c54))), c54), true), true, p47(f20(f22(f24(f26(c55, c51), c52), c53), c54), c54), true)
% 1.12/0.41 = { by axiom 3 (ifeq_axiom) R->L }
% 1.12/0.41 ifeq(ifeq(ifeq(true, true, p4(f5(c48, f8(f10(c49, f13(f16(f18(c50, c51), c52), c53)), c54)), f5(c48, f13(f16(f18(c50, f20(f22(f24(f26(c55, c51), c52), c53), c54)), f30(f32(f34(f36(c56, c51), c52), c53), c54)), f40(f42(f44(f46(c57, c51), c52), c53), c54)))), true), true, p47(f5(c48, f13(f16(f18(c50, f20(f22(f24(f26(c55, c51), c52), c53), c54)), f30(f32(f34(f36(c56, c51), c52), c53), c54)), f40(f42(f44(f46(c57, c51), c52), c53), c54))), c54), true), true, p47(f20(f22(f24(f26(c55, c51), c52), c53), c54), c54), true)
% 1.12/0.41 = { by axiom 8 (p3_79) R->L }
% 1.12/0.41 ifeq(ifeq(ifeq(p3(f8(f10(c49, f13(f16(f18(c50, c51), c52), c53)), c54), f13(f16(f18(c50, f20(f22(f24(f26(c55, c51), c52), c53), c54)), f30(f32(f34(f36(c56, c51), c52), c53), c54)), f40(f42(f44(f46(c57, c51), c52), c53), c54))), true, p4(f5(c48, f8(f10(c49, f13(f16(f18(c50, c51), c52), c53)), c54)), f5(c48, f13(f16(f18(c50, f20(f22(f24(f26(c55, c51), c52), c53), c54)), f30(f32(f34(f36(c56, c51), c52), c53), c54)), f40(f42(f44(f46(c57, c51), c52), c53), c54)))), true), true, p47(f5(c48, f13(f16(f18(c50, f20(f22(f24(f26(c55, c51), c52), c53), c54)), f30(f32(f34(f36(c56, c51), c52), c53), c54)), f40(f42(f44(f46(c57, c51), c52), c53), c54))), c54), true), true, p47(f20(f22(f24(f26(c55, c51), c52), c53), c54), c54), true)
% 1.12/0.41 = { by axiom 3 (ifeq_axiom) R->L }
% 1.12/0.41 ifeq(ifeq(ifeq(true, true, ifeq(p3(f8(f10(c49, f13(f16(f18(c50, c51), c52), c53)), c54), f13(f16(f18(c50, f20(f22(f24(f26(c55, c51), c52), c53), c54)), f30(f32(f34(f36(c56, c51), c52), c53), c54)), f40(f42(f44(f46(c57, c51), c52), c53), c54))), true, p4(f5(c48, f8(f10(c49, f13(f16(f18(c50, c51), c52), c53)), c54)), f5(c48, f13(f16(f18(c50, f20(f22(f24(f26(c55, c51), c52), c53), c54)), f30(f32(f34(f36(c56, c51), c52), c53), c54)), f40(f42(f44(f46(c57, c51), c52), c53), c54)))), true), true), true, p47(f5(c48, f13(f16(f18(c50, f20(f22(f24(f26(c55, c51), c52), c53), c54)), f30(f32(f34(f36(c56, c51), c52), c53), c54)), f40(f42(f44(f46(c57, c51), c52), c53), c54))), c54), true), true, p47(f20(f22(f24(f26(c55, c51), c52), c53), c54), c54), true)
% 1.12/0.41 = { by axiom 2 (p2_20) R->L }
% 1.12/0.41 ifeq(ifeq(ifeq(p2(c48, c48), true, ifeq(p3(f8(f10(c49, f13(f16(f18(c50, c51), c52), c53)), c54), f13(f16(f18(c50, f20(f22(f24(f26(c55, c51), c52), c53), c54)), f30(f32(f34(f36(c56, c51), c52), c53), c54)), f40(f42(f44(f46(c57, c51), c52), c53), c54))), true, p4(f5(c48, f8(f10(c49, f13(f16(f18(c50, c51), c52), c53)), c54)), f5(c48, f13(f16(f18(c50, f20(f22(f24(f26(c55, c51), c52), c53), c54)), f30(f32(f34(f36(c56, c51), c52), c53), c54)), f40(f42(f44(f46(c57, c51), c52), c53), c54)))), true), true), true, p47(f5(c48, f13(f16(f18(c50, f20(f22(f24(f26(c55, c51), c52), c53), c54)), f30(f32(f34(f36(c56, c51), c52), c53), c54)), f40(f42(f44(f46(c57, c51), c52), c53), c54))), c54), true), true, p47(f20(f22(f24(f26(c55, c51), c52), c53), c54), c54), true)
% 1.12/0.41 = { by axiom 6 (p4_57) }
% 1.12/0.41 ifeq(ifeq(true, true, p47(f5(c48, f13(f16(f18(c50, f20(f22(f24(f26(c55, c51), c52), c53), c54)), f30(f32(f34(f36(c56, c51), c52), c53), c54)), f40(f42(f44(f46(c57, c51), c52), c53), c54))), c54), true), true, p47(f20(f22(f24(f26(c55, c51), c52), c53), c54), c54), true)
% 1.12/0.41 = { by axiom 3 (ifeq_axiom) }
% 1.12/0.41 ifeq(p47(f5(c48, f13(f16(f18(c50, f20(f22(f24(f26(c55, c51), c52), c53), c54)), f30(f32(f34(f36(c56, c51), c52), c53), c54)), f40(f42(f44(f46(c57, c51), c52), c53), c54))), c54), true, p47(f20(f22(f24(f26(c55, c51), c52), c53), c54), c54), true)
% 1.12/0.41 = { by axiom 5 (p47_73) }
% 1.12/0.41 true
% 1.12/0.41 % SZS output end Proof
% 1.12/0.41
% 1.12/0.41 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------