%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN601-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n010.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 01:48:10 PM UTC 2026
% Result : Unsatisfiable 59.72s 7.85s
% Output : Proof 59.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN601-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.17 % Computer : n010.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Mon Sep 28 16:33:32 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 59.72/7.85 Command-line arguments: --lhs-weight 1 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10 --complete-subsets --ground-joining-incomplete-limit 15 --flatten-every 2
% 59.72/7.85
% 59.72/7.85 % SZS status Unsatisfiable
% 59.72/7.85
% 59.72/7.87 % SZS output start Proof
% 59.72/7.87 Axiom 1 (p3_3): p3(X, X) = true.
% 59.72/7.87 Axiom 2 (p3_7): p3(c22, c23) = true.
% 59.72/7.87 Axiom 3 (p10_1): p10(X, X) = true.
% 59.72/7.87 Axiom 4 (p2_4): p2(X, X) = true.
% 59.72/7.87 Axiom 5 (p9_2): p9(X, X) = true.
% 59.72/7.87 Axiom 6 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 59.72/7.87 Axiom 7 (p19_22): p19(c21, f11(f13(f15(c21), f14(f4(c21), c22)), c24, c25)) = true.
% 59.72/7.87 Axiom 8 (p12_27): ifeq(p3(X, Y), true, ifeq(p3(Z, W), true, p12(f14(Z, X), f14(W, Y)), true), true) = true.
% 59.72/7.87 Axiom 9 (p2_28): ifeq(p12(X, Y), true, ifeq(p3(Z, W), true, p2(f13(Z, X), f13(W, Y)), true), true) = true.
% 59.72/7.87 Axiom 10 (p19_24): ifeq(p19(X, Y), true, ifeq(p2(X, Z), true, ifeq(p10(Y, W), true, p19(Z, W), true), true), true) = true.
% 59.72/7.87 Axiom 11 (p10_30): ifeq(p2(X, Y), true, ifeq(p9(Z, W), true, ifeq(p10(V, U), true, p10(f11(X, Z, V), f11(Y, W, U)), true), true), true) = true.
% 59.72/7.87
% 59.72/7.87 Goal 1 (not_p19_23): p19(c21, f11(f13(f15(c21), f14(f4(c21), c23)), c24, c25)) = true.
% 59.72/7.87 Proof:
% 59.72/7.87 p19(c21, f11(f13(f15(c21), f14(f4(c21), c23)), c24, c25))
% 59.72/7.87 = { by axiom 6 (ifeq_axiom) R->L }
% 59.72/7.87 ifeq(true, true, p19(c21, f11(f13(f15(c21), f14(f4(c21), c23)), c24, c25)), true)
% 59.72/7.87 = { by axiom 6 (ifeq_axiom) R->L }
% 59.72/7.87 ifeq(true, true, ifeq(true, true, p19(c21, f11(f13(f15(c21), f14(f4(c21), c23)), c24, c25)), true), true)
% 59.72/7.87 = { by axiom 7 (p19_22) R->L }
% 59.72/7.87 ifeq(p19(c21, f11(f13(f15(c21), f14(f4(c21), c22)), c24, c25)), true, ifeq(true, true, p19(c21, f11(f13(f15(c21), f14(f4(c21), c23)), c24, c25)), true), true)
% 59.72/7.87 = { by axiom 11 (p10_30) R->L }
% 59.72/7.87 ifeq(p19(c21, f11(f13(f15(c21), f14(f4(c21), c22)), c24, c25)), true, ifeq(ifeq(p2(f13(f15(c21), f14(f4(c21), c22)), f13(f15(c21), f14(f4(c21), c23))), true, ifeq(p9(c24, c24), true, ifeq(p10(c25, c25), true, p10(f11(f13(f15(c21), f14(f4(c21), c22)), c24, c25), f11(f13(f15(c21), f14(f4(c21), c23)), c24, c25)), true), true), true), true, p19(c21, f11(f13(f15(c21), f14(f4(c21), c23)), c24, c25)), true), true)
% 59.72/7.87 = { by axiom 3 (p10_1) }
% 59.72/7.87 ifeq(p19(c21, f11(f13(f15(c21), f14(f4(c21), c22)), c24, c25)), true, ifeq(ifeq(p2(f13(f15(c21), f14(f4(c21), c22)), f13(f15(c21), f14(f4(c21), c23))), true, ifeq(p9(c24, c24), true, ifeq(true, true, p10(f11(f13(f15(c21), f14(f4(c21), c22)), c24, c25), f11(f13(f15(c21), f14(f4(c21), c23)), c24, c25)), true), true), true), true, p19(c21, f11(f13(f15(c21), f14(f4(c21), c23)), c24, c25)), true), true)
% 59.72/7.87 = { by axiom 6 (ifeq_axiom) }
% 59.72/7.87 ifeq(p19(c21, f11(f13(f15(c21), f14(f4(c21), c22)), c24, c25)), true, ifeq(ifeq(p2(f13(f15(c21), f14(f4(c21), c22)), f13(f15(c21), f14(f4(c21), c23))), true, ifeq(p9(c24, c24), true, p10(f11(f13(f15(c21), f14(f4(c21), c22)), c24, c25), f11(f13(f15(c21), f14(f4(c21), c23)), c24, c25)), true), true), true, p19(c21, f11(f13(f15(c21), f14(f4(c21), c23)), c24, c25)), true), true)
% 59.72/7.87 = { by axiom 5 (p9_2) }
% 59.72/7.87 ifeq(p19(c21, f11(f13(f15(c21), f14(f4(c21), c22)), c24, c25)), true, ifeq(ifeq(p2(f13(f15(c21), f14(f4(c21), c22)), f13(f15(c21), f14(f4(c21), c23))), true, ifeq(true, true, p10(f11(f13(f15(c21), f14(f4(c21), c22)), c24, c25), f11(f13(f15(c21), f14(f4(c21), c23)), c24, c25)), true), true), true, p19(c21, f11(f13(f15(c21), f14(f4(c21), c23)), c24, c25)), true), true)
% 59.72/7.87 = { by axiom 6 (ifeq_axiom) }
% 59.72/7.87 ifeq(p19(c21, f11(f13(f15(c21), f14(f4(c21), c22)), c24, c25)), true, ifeq(ifeq(p2(f13(f15(c21), f14(f4(c21), c22)), f13(f15(c21), f14(f4(c21), c23))), true, p10(f11(f13(f15(c21), f14(f4(c21), c22)), c24, c25), f11(f13(f15(c21), f14(f4(c21), c23)), c24, c25)), true), true, p19(c21, f11(f13(f15(c21), f14(f4(c21), c23)), c24, c25)), true), true)
% 59.72/7.87 = { by axiom 6 (ifeq_axiom) R->L }
% 59.72/7.87 ifeq(p19(c21, f11(f13(f15(c21), f14(f4(c21), c22)), c24, c25)), true, ifeq(ifeq(ifeq(true, true, p2(f13(f15(c21), f14(f4(c21), c22)), f13(f15(c21), f14(f4(c21), c23))), true), true, p10(f11(f13(f15(c21), f14(f4(c21), c22)), c24, c25), f11(f13(f15(c21), f14(f4(c21), c23)), c24, c25)), true), true, p19(c21, f11(f13(f15(c21), f14(f4(c21), c23)), c24, c25)), true), true)
% 59.72/7.87 = { by axiom 8 (p12_27) R->L }
% 59.72/7.87 ifeq(p19(c21, f11(f13(f15(c21), f14(f4(c21), c22)), c24, c25)), true, ifeq(ifeq(ifeq(ifeq(p3(c22, c23), true, ifeq(p3(f4(c21), f4(c21)), true, p12(f14(f4(c21), c22), f14(f4(c21), c23)), true), true), true, p2(f13(f15(c21), f14(f4(c21), c22)), f13(f15(c21), f14(f4(c21), c23))), true), true, p10(f11(f13(f15(c21), f14(f4(c21), c22)), c24, c25), f11(f13(f15(c21), f14(f4(c21), c23)), c24, c25)), true), true, p19(c21, f11(f13(f15(c21), f14(f4(c21), c23)), c24, c25)), true), true)
% 59.72/7.87 = { by axiom 1 (p3_3) }
% 59.72/7.87 ifeq(p19(c21, f11(f13(f15(c21), f14(f4(c21), c22)), c24, c25)), true, ifeq(ifeq(ifeq(ifeq(p3(c22, c23), true, ifeq(true, true, p12(f14(f4(c21), c22), f14(f4(c21), c23)), true), true), true, p2(f13(f15(c21), f14(f4(c21), c22)), f13(f15(c21), f14(f4(c21), c23))), true), true, p10(f11(f13(f15(c21), f14(f4(c21), c22)), c24, c25), f11(f13(f15(c21), f14(f4(c21), c23)), c24, c25)), true), true, p19(c21, f11(f13(f15(c21), f14(f4(c21), c23)), c24, c25)), true), true)
% 59.72/7.87 = { by axiom 6 (ifeq_axiom) }
% 59.72/7.87 ifeq(p19(c21, f11(f13(f15(c21), f14(f4(c21), c22)), c24, c25)), true, ifeq(ifeq(ifeq(ifeq(p3(c22, c23), true, p12(f14(f4(c21), c22), f14(f4(c21), c23)), true), true, p2(f13(f15(c21), f14(f4(c21), c22)), f13(f15(c21), f14(f4(c21), c23))), true), true, p10(f11(f13(f15(c21), f14(f4(c21), c22)), c24, c25), f11(f13(f15(c21), f14(f4(c21), c23)), c24, c25)), true), true, p19(c21, f11(f13(f15(c21), f14(f4(c21), c23)), c24, c25)), true), true)
% 59.72/7.87 = { by axiom 2 (p3_7) }
% 59.72/7.87 ifeq(p19(c21, f11(f13(f15(c21), f14(f4(c21), c22)), c24, c25)), true, ifeq(ifeq(ifeq(ifeq(true, true, p12(f14(f4(c21), c22), f14(f4(c21), c23)), true), true, p2(f13(f15(c21), f14(f4(c21), c22)), f13(f15(c21), f14(f4(c21), c23))), true), true, p10(f11(f13(f15(c21), f14(f4(c21), c22)), c24, c25), f11(f13(f15(c21), f14(f4(c21), c23)), c24, c25)), true), true, p19(c21, f11(f13(f15(c21), f14(f4(c21), c23)), c24, c25)), true), true)
% 59.72/7.87 = { by axiom 6 (ifeq_axiom) }
% 59.72/7.87 ifeq(p19(c21, f11(f13(f15(c21), f14(f4(c21), c22)), c24, c25)), true, ifeq(ifeq(ifeq(p12(f14(f4(c21), c22), f14(f4(c21), c23)), true, p2(f13(f15(c21), f14(f4(c21), c22)), f13(f15(c21), f14(f4(c21), c23))), true), true, p10(f11(f13(f15(c21), f14(f4(c21), c22)), c24, c25), f11(f13(f15(c21), f14(f4(c21), c23)), c24, c25)), true), true, p19(c21, f11(f13(f15(c21), f14(f4(c21), c23)), c24, c25)), true), true)
% 59.72/7.87 = { by axiom 6 (ifeq_axiom) R->L }
% 59.72/7.87 ifeq(p19(c21, f11(f13(f15(c21), f14(f4(c21), c22)), c24, c25)), true, ifeq(ifeq(ifeq(p12(f14(f4(c21), c22), f14(f4(c21), c23)), true, ifeq(true, true, p2(f13(f15(c21), f14(f4(c21), c22)), f13(f15(c21), f14(f4(c21), c23))), true), true), true, p10(f11(f13(f15(c21), f14(f4(c21), c22)), c24, c25), f11(f13(f15(c21), f14(f4(c21), c23)), c24, c25)), true), true, p19(c21, f11(f13(f15(c21), f14(f4(c21), c23)), c24, c25)), true), true)
% 59.72/7.87 = { by axiom 1 (p3_3) R->L }
% 59.72/7.87 ifeq(p19(c21, f11(f13(f15(c21), f14(f4(c21), c22)), c24, c25)), true, ifeq(ifeq(ifeq(p12(f14(f4(c21), c22), f14(f4(c21), c23)), true, ifeq(p3(f15(c21), f15(c21)), true, p2(f13(f15(c21), f14(f4(c21), c22)), f13(f15(c21), f14(f4(c21), c23))), true), true), true, p10(f11(f13(f15(c21), f14(f4(c21), c22)), c24, c25), f11(f13(f15(c21), f14(f4(c21), c23)), c24, c25)), true), true, p19(c21, f11(f13(f15(c21), f14(f4(c21), c23)), c24, c25)), true), true)
% 59.72/7.87 = { by axiom 9 (p2_28) }
% 59.72/7.87 ifeq(p19(c21, f11(f13(f15(c21), f14(f4(c21), c22)), c24, c25)), true, ifeq(ifeq(true, true, p10(f11(f13(f15(c21), f14(f4(c21), c22)), c24, c25), f11(f13(f15(c21), f14(f4(c21), c23)), c24, c25)), true), true, p19(c21, f11(f13(f15(c21), f14(f4(c21), c23)), c24, c25)), true), true)
% 59.72/7.87 = { by axiom 6 (ifeq_axiom) }
% 59.72/7.87 ifeq(p19(c21, f11(f13(f15(c21), f14(f4(c21), c22)), c24, c25)), true, ifeq(p10(f11(f13(f15(c21), f14(f4(c21), c22)), c24, c25), f11(f13(f15(c21), f14(f4(c21), c23)), c24, c25)), true, p19(c21, f11(f13(f15(c21), f14(f4(c21), c23)), c24, c25)), true), true)
% 59.72/7.87 = { by axiom 6 (ifeq_axiom) R->L }
% 59.72/7.87 ifeq(p19(c21, f11(f13(f15(c21), f14(f4(c21), c22)), c24, c25)), true, ifeq(true, true, ifeq(p10(f11(f13(f15(c21), f14(f4(c21), c22)), c24, c25), f11(f13(f15(c21), f14(f4(c21), c23)), c24, c25)), true, p19(c21, f11(f13(f15(c21), f14(f4(c21), c23)), c24, c25)), true), true), true)
% 59.72/7.87 = { by axiom 4 (p2_4) R->L }
% 59.72/7.87 ifeq(p19(c21, f11(f13(f15(c21), f14(f4(c21), c22)), c24, c25)), true, ifeq(p2(c21, c21), true, ifeq(p10(f11(f13(f15(c21), f14(f4(c21), c22)), c24, c25), f11(f13(f15(c21), f14(f4(c21), c23)), c24, c25)), true, p19(c21, f11(f13(f15(c21), f14(f4(c21), c23)), c24, c25)), true), true), true)
% 59.72/7.87 = { by axiom 10 (p19_24) }
% 59.72/7.87 true
% 59.72/7.87 % SZS output end Proof
% 59.72/7.87
% 59.72/7.87 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------