%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN691-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.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 01:48:16 PM UTC 2026
% Result : Unsatisfiable 1.01s 0.40s
% Output : Proof 1.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN691-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.05/0.19 % Computer : n026.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 16:48:56 UTC 2026
% 0.05/0.20 % CPUTime :
% 0.05/0.20 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.01/0.40 Command-line arguments: --lhs-weight 9 --flip-ordering --complete-subsets --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 1.01/0.40
% 1.01/0.40 % SZS status Unsatisfiable
% 1.01/0.40
% 1.01/0.41 % SZS output start Proof
% 1.01/0.41 Axiom 1 (p22_15): p22(X, X) = true.
% 1.01/0.41 Axiom 2 (p2_17): p2(X, X) = true.
% 1.01/0.41 Axiom 3 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 1.01/0.41 Axiom 4 (p39_46): p39(f5(c40, f7(c41, f10(f13(f15(c42, c43), c44), c45))), c46) = true.
% 1.01/0.41 Axiom 5 (p39_44): ifeq(p39(f17(f19(f21(c47, X), Y), Z), W), true, p39(X, W), true) = true.
% 1.01/0.41 Axiom 6 (p39_64): ifeq(p39(X, Y), true, p39(f5(c40, f10(f13(f15(c42, X), Z), W)), Y), true) = true.
% 1.01/0.41 Axiom 7 (p39_63): ifeq(p39(f5(c40, f10(f13(f15(c42, X), Y), Z)), W), true, p39(X, W), true) = true.
% 1.01/0.41 Axiom 8 (p4_50): ifeq(p2(X, Y), true, ifeq(p3(Z, W), true, p4(f5(X, Z), f5(Y, W)), true), true) = true.
% 1.01/0.41 Axiom 9 (p39_45): ifeq(p39(X, Y), true, ifeq(p22(Y, Z), true, ifeq(p4(X, W), true, p39(W, Z), true), true), true) = true.
% 1.01/0.41 Axiom 10 (p3_67): p3(f7(c41, f10(f13(f15(c42, X), Y), Z)), f10(f13(f15(c42, f17(f19(f21(c47, X), Y), Z)), f26(f28(f30(c48, X), Y), Z)), f34(f36(f38(c49, X), Y), Z))) = true.
% 1.01/0.41
% 1.01/0.41 Goal 1 (not_p39_43): p39(f5(c40, f10(f13(f15(c42, c43), c44), c45)), c46) = true.
% 1.01/0.41 Proof:
% 1.01/0.41 p39(f5(c40, f10(f13(f15(c42, c43), c44), c45)), c46)
% 1.01/0.41 = { by axiom 3 (ifeq_axiom) R->L }
% 1.01/0.41 ifeq(true, true, p39(f5(c40, f10(f13(f15(c42, c43), c44), c45)), c46), true)
% 1.01/0.41 = { by axiom 5 (p39_44) R->L }
% 1.01/0.41 ifeq(ifeq(p39(f17(f19(f21(c47, c43), c44), c45), c46), true, p39(c43, c46), true), true, p39(f5(c40, f10(f13(f15(c42, c43), c44), c45)), c46), true)
% 1.01/0.41 = { by axiom 3 (ifeq_axiom) R->L }
% 1.01/0.41 ifeq(ifeq(ifeq(true, true, p39(f17(f19(f21(c47, c43), c44), c45), c46), true), true, p39(c43, c46), true), true, p39(f5(c40, f10(f13(f15(c42, c43), c44), c45)), c46), true)
% 1.01/0.41 = { by axiom 9 (p39_45) R->L }
% 1.01/0.41 ifeq(ifeq(ifeq(ifeq(p39(f5(c40, f7(c41, f10(f13(f15(c42, c43), c44), c45))), c46), true, ifeq(p22(c46, c46), true, ifeq(p4(f5(c40, f7(c41, f10(f13(f15(c42, c43), c44), c45))), f5(c40, f10(f13(f15(c42, f17(f19(f21(c47, c43), c44), c45)), f26(f28(f30(c48, c43), c44), c45)), f34(f36(f38(c49, c43), c44), c45)))), true, p39(f5(c40, f10(f13(f15(c42, f17(f19(f21(c47, c43), c44), c45)), f26(f28(f30(c48, c43), c44), c45)), f34(f36(f38(c49, c43), c44), c45))), c46), true), true), true), true, p39(f17(f19(f21(c47, c43), c44), c45), c46), true), true, p39(c43, c46), true), true, p39(f5(c40, f10(f13(f15(c42, c43), c44), c45)), c46), true)
% 1.01/0.41 = { by axiom 1 (p22_15) }
% 1.01/0.41 ifeq(ifeq(ifeq(ifeq(p39(f5(c40, f7(c41, f10(f13(f15(c42, c43), c44), c45))), c46), true, ifeq(true, true, ifeq(p4(f5(c40, f7(c41, f10(f13(f15(c42, c43), c44), c45))), f5(c40, f10(f13(f15(c42, f17(f19(f21(c47, c43), c44), c45)), f26(f28(f30(c48, c43), c44), c45)), f34(f36(f38(c49, c43), c44), c45)))), true, p39(f5(c40, f10(f13(f15(c42, f17(f19(f21(c47, c43), c44), c45)), f26(f28(f30(c48, c43), c44), c45)), f34(f36(f38(c49, c43), c44), c45))), c46), true), true), true), true, p39(f17(f19(f21(c47, c43), c44), c45), c46), true), true, p39(c43, c46), true), true, p39(f5(c40, f10(f13(f15(c42, c43), c44), c45)), c46), true)
% 1.01/0.41 = { by axiom 3 (ifeq_axiom) }
% 1.01/0.41 ifeq(ifeq(ifeq(ifeq(p39(f5(c40, f7(c41, f10(f13(f15(c42, c43), c44), c45))), c46), true, ifeq(p4(f5(c40, f7(c41, f10(f13(f15(c42, c43), c44), c45))), f5(c40, f10(f13(f15(c42, f17(f19(f21(c47, c43), c44), c45)), f26(f28(f30(c48, c43), c44), c45)), f34(f36(f38(c49, c43), c44), c45)))), true, p39(f5(c40, f10(f13(f15(c42, f17(f19(f21(c47, c43), c44), c45)), f26(f28(f30(c48, c43), c44), c45)), f34(f36(f38(c49, c43), c44), c45))), c46), true), true), true, p39(f17(f19(f21(c47, c43), c44), c45), c46), true), true, p39(c43, c46), true), true, p39(f5(c40, f10(f13(f15(c42, c43), c44), c45)), c46), true)
% 1.01/0.41 = { by axiom 4 (p39_46) }
% 1.01/0.41 ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p4(f5(c40, f7(c41, f10(f13(f15(c42, c43), c44), c45))), f5(c40, f10(f13(f15(c42, f17(f19(f21(c47, c43), c44), c45)), f26(f28(f30(c48, c43), c44), c45)), f34(f36(f38(c49, c43), c44), c45)))), true, p39(f5(c40, f10(f13(f15(c42, f17(f19(f21(c47, c43), c44), c45)), f26(f28(f30(c48, c43), c44), c45)), f34(f36(f38(c49, c43), c44), c45))), c46), true), true), true, p39(f17(f19(f21(c47, c43), c44), c45), c46), true), true, p39(c43, c46), true), true, p39(f5(c40, f10(f13(f15(c42, c43), c44), c45)), c46), true)
% 1.01/0.41 = { by axiom 3 (ifeq_axiom) }
% 1.01/0.41 ifeq(ifeq(ifeq(ifeq(p4(f5(c40, f7(c41, f10(f13(f15(c42, c43), c44), c45))), f5(c40, f10(f13(f15(c42, f17(f19(f21(c47, c43), c44), c45)), f26(f28(f30(c48, c43), c44), c45)), f34(f36(f38(c49, c43), c44), c45)))), true, p39(f5(c40, f10(f13(f15(c42, f17(f19(f21(c47, c43), c44), c45)), f26(f28(f30(c48, c43), c44), c45)), f34(f36(f38(c49, c43), c44), c45))), c46), true), true, p39(f17(f19(f21(c47, c43), c44), c45), c46), true), true, p39(c43, c46), true), true, p39(f5(c40, f10(f13(f15(c42, c43), c44), c45)), c46), true)
% 1.01/0.41 = { by axiom 3 (ifeq_axiom) R->L }
% 1.01/0.41 ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p4(f5(c40, f7(c41, f10(f13(f15(c42, c43), c44), c45))), f5(c40, f10(f13(f15(c42, f17(f19(f21(c47, c43), c44), c45)), f26(f28(f30(c48, c43), c44), c45)), f34(f36(f38(c49, c43), c44), c45)))), true), true, p39(f5(c40, f10(f13(f15(c42, f17(f19(f21(c47, c43), c44), c45)), f26(f28(f30(c48, c43), c44), c45)), f34(f36(f38(c49, c43), c44), c45))), c46), true), true, p39(f17(f19(f21(c47, c43), c44), c45), c46), true), true, p39(c43, c46), true), true, p39(f5(c40, f10(f13(f15(c42, c43), c44), c45)), c46), true)
% 1.01/0.41 = { by axiom 10 (p3_67) R->L }
% 1.01/0.41 ifeq(ifeq(ifeq(ifeq(ifeq(p3(f7(c41, f10(f13(f15(c42, c43), c44), c45)), f10(f13(f15(c42, f17(f19(f21(c47, c43), c44), c45)), f26(f28(f30(c48, c43), c44), c45)), f34(f36(f38(c49, c43), c44), c45))), true, p4(f5(c40, f7(c41, f10(f13(f15(c42, c43), c44), c45))), f5(c40, f10(f13(f15(c42, f17(f19(f21(c47, c43), c44), c45)), f26(f28(f30(c48, c43), c44), c45)), f34(f36(f38(c49, c43), c44), c45)))), true), true, p39(f5(c40, f10(f13(f15(c42, f17(f19(f21(c47, c43), c44), c45)), f26(f28(f30(c48, c43), c44), c45)), f34(f36(f38(c49, c43), c44), c45))), c46), true), true, p39(f17(f19(f21(c47, c43), c44), c45), c46), true), true, p39(c43, c46), true), true, p39(f5(c40, f10(f13(f15(c42, c43), c44), c45)), c46), true)
% 1.01/0.41 = { by axiom 3 (ifeq_axiom) R->L }
% 1.01/0.42 ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p3(f7(c41, f10(f13(f15(c42, c43), c44), c45)), f10(f13(f15(c42, f17(f19(f21(c47, c43), c44), c45)), f26(f28(f30(c48, c43), c44), c45)), f34(f36(f38(c49, c43), c44), c45))), true, p4(f5(c40, f7(c41, f10(f13(f15(c42, c43), c44), c45))), f5(c40, f10(f13(f15(c42, f17(f19(f21(c47, c43), c44), c45)), f26(f28(f30(c48, c43), c44), c45)), f34(f36(f38(c49, c43), c44), c45)))), true), true), true, p39(f5(c40, f10(f13(f15(c42, f17(f19(f21(c47, c43), c44), c45)), f26(f28(f30(c48, c43), c44), c45)), f34(f36(f38(c49, c43), c44), c45))), c46), true), true, p39(f17(f19(f21(c47, c43), c44), c45), c46), true), true, p39(c43, c46), true), true, p39(f5(c40, f10(f13(f15(c42, c43), c44), c45)), c46), true)
% 1.01/0.42 = { by axiom 2 (p2_17) R->L }
% 1.01/0.42 ifeq(ifeq(ifeq(ifeq(ifeq(p2(c40, c40), true, ifeq(p3(f7(c41, f10(f13(f15(c42, c43), c44), c45)), f10(f13(f15(c42, f17(f19(f21(c47, c43), c44), c45)), f26(f28(f30(c48, c43), c44), c45)), f34(f36(f38(c49, c43), c44), c45))), true, p4(f5(c40, f7(c41, f10(f13(f15(c42, c43), c44), c45))), f5(c40, f10(f13(f15(c42, f17(f19(f21(c47, c43), c44), c45)), f26(f28(f30(c48, c43), c44), c45)), f34(f36(f38(c49, c43), c44), c45)))), true), true), true, p39(f5(c40, f10(f13(f15(c42, f17(f19(f21(c47, c43), c44), c45)), f26(f28(f30(c48, c43), c44), c45)), f34(f36(f38(c49, c43), c44), c45))), c46), true), true, p39(f17(f19(f21(c47, c43), c44), c45), c46), true), true, p39(c43, c46), true), true, p39(f5(c40, f10(f13(f15(c42, c43), c44), c45)), c46), true)
% 1.01/0.42 = { by axiom 8 (p4_50) }
% 1.01/0.42 ifeq(ifeq(ifeq(ifeq(true, true, p39(f5(c40, f10(f13(f15(c42, f17(f19(f21(c47, c43), c44), c45)), f26(f28(f30(c48, c43), c44), c45)), f34(f36(f38(c49, c43), c44), c45))), c46), true), true, p39(f17(f19(f21(c47, c43), c44), c45), c46), true), true, p39(c43, c46), true), true, p39(f5(c40, f10(f13(f15(c42, c43), c44), c45)), c46), true)
% 1.01/0.42 = { by axiom 3 (ifeq_axiom) }
% 1.01/0.42 ifeq(ifeq(ifeq(p39(f5(c40, f10(f13(f15(c42, f17(f19(f21(c47, c43), c44), c45)), f26(f28(f30(c48, c43), c44), c45)), f34(f36(f38(c49, c43), c44), c45))), c46), true, p39(f17(f19(f21(c47, c43), c44), c45), c46), true), true, p39(c43, c46), true), true, p39(f5(c40, f10(f13(f15(c42, c43), c44), c45)), c46), true)
% 1.01/0.42 = { by axiom 7 (p39_63) }
% 1.01/0.42 ifeq(ifeq(true, true, p39(c43, c46), true), true, p39(f5(c40, f10(f13(f15(c42, c43), c44), c45)), c46), true)
% 1.01/0.42 = { by axiom 3 (ifeq_axiom) }
% 1.01/0.42 ifeq(p39(c43, c46), true, p39(f5(c40, f10(f13(f15(c42, c43), c44), c45)), c46), true)
% 1.01/0.42 = { by axiom 6 (p39_64) }
% 1.01/0.42 true
% 1.01/0.42 % SZS output end Proof
% 1.01/0.42
% 1.01/0.42 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------