%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN597-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 01:48:09 PM UTC 2026
% Result : Unsatisfiable 59.30s 7.73s
% Output : Proof 59.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN597-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.17 % Computer : n007.cluster.edu
% 0.06/0.17 % Model : x86_64 x86_64
% 0.06/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.17 % Memory : 8046.5625MB
% 0.06/0.17 % OS : Linux 6.8.0-71-generic
% 0.06/0.17 % CPULimit : 300
% 0.06/0.17 % WCLimit : 300
% 0.06/0.17 % DateTime : Mon Sep 28 16:32:10 UTC 2026
% 0.06/0.17 % CPUTime :
% 0.06/0.17 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 59.30/7.73 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
% 59.30/7.73
% 59.30/7.73 % SZS status Unsatisfiable
% 59.30/7.73
% 59.30/7.74 % SZS output start Proof
% 59.30/7.74 Axiom 1 (p3_3): p3(X, X) = true.
% 59.30/7.74 Axiom 2 (p3_7): p3(c21, c22) = true.
% 59.30/7.74 Axiom 3 (p2_4): p2(X, X) = true.
% 59.30/7.74 Axiom 4 (p10_1): p10(X, X) = true.
% 59.30/7.74 Axiom 5 (p9_2): p9(X, X) = true.
% 59.30/7.74 Axiom 6 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 59.30/7.74 Axiom 7 (p18_21): p18(c20, f11(f13(f15(c20), f14(f4(c20), c21)), c23, c24)) = true.
% 59.30/7.74 Axiom 8 (p12_27): ifeq(p3(X, Y), true, ifeq(p3(Z, W), true, p12(f14(Z, X), f14(W, Y)), true), true) = true.
% 59.30/7.74 Axiom 9 (p2_26): ifeq(p12(X, Y), true, ifeq(p3(Z, W), true, p2(f13(Z, X), f13(W, Y)), true), true) = true.
% 59.30/7.74 Axiom 10 (p18_24): ifeq(p18(X, Y), true, ifeq(p2(X, Z), true, ifeq(p10(Y, W), true, p18(Z, W), true), true), true) = true.
% 59.30/7.74 Axiom 11 (p10_28): 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.
% 59.30/7.74
% 59.30/7.74 Goal 1 (not_p18_22): p18(c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24)) = true.
% 59.30/7.74 Proof:
% 59.30/7.74 p18(c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24))
% 59.30/7.74 = { by axiom 6 (ifeq_axiom) R->L }
% 59.30/7.74 ifeq(true, true, p18(c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24)), true)
% 59.30/7.75 = { by axiom 6 (ifeq_axiom) R->L }
% 59.30/7.75 ifeq(true, true, ifeq(true, true, p18(c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24)), true), true)
% 59.30/7.75 = { by axiom 7 (p18_21) R->L }
% 59.30/7.75 ifeq(p18(c20, f11(f13(f15(c20), f14(f4(c20), c21)), c23, c24)), true, ifeq(true, true, p18(c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24)), true), true)
% 59.30/7.75 = { by axiom 11 (p10_28) R->L }
% 59.30/7.75 ifeq(p18(c20, f11(f13(f15(c20), f14(f4(c20), c21)), c23, c24)), true, ifeq(ifeq(p2(f13(f15(c20), f14(f4(c20), c21)), f13(f15(c20), f14(f4(c20), c22))), true, ifeq(p9(c23, c23), true, ifeq(p10(c24, c24), true, p10(f11(f13(f15(c20), f14(f4(c20), c21)), c23, c24), f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24)), true), true), true), true, p18(c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24)), true), true)
% 59.30/7.75 = { by axiom 4 (p10_1) }
% 59.30/7.75 ifeq(p18(c20, f11(f13(f15(c20), f14(f4(c20), c21)), c23, c24)), true, ifeq(ifeq(p2(f13(f15(c20), f14(f4(c20), c21)), f13(f15(c20), f14(f4(c20), c22))), true, ifeq(p9(c23, c23), true, ifeq(true, true, p10(f11(f13(f15(c20), f14(f4(c20), c21)), c23, c24), f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24)), true), true), true), true, p18(c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24)), true), true)
% 59.30/7.75 = { by axiom 6 (ifeq_axiom) }
% 59.30/7.75 ifeq(p18(c20, f11(f13(f15(c20), f14(f4(c20), c21)), c23, c24)), true, ifeq(ifeq(p2(f13(f15(c20), f14(f4(c20), c21)), f13(f15(c20), f14(f4(c20), c22))), true, ifeq(p9(c23, c23), true, p10(f11(f13(f15(c20), f14(f4(c20), c21)), c23, c24), f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24)), true), true), true, p18(c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24)), true), true)
% 59.30/7.75 = { by axiom 5 (p9_2) }
% 59.30/7.75 ifeq(p18(c20, f11(f13(f15(c20), f14(f4(c20), c21)), c23, c24)), true, ifeq(ifeq(p2(f13(f15(c20), f14(f4(c20), c21)), f13(f15(c20), f14(f4(c20), c22))), true, ifeq(true, true, p10(f11(f13(f15(c20), f14(f4(c20), c21)), c23, c24), f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24)), true), true), true, p18(c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24)), true), true)
% 59.30/7.75 = { by axiom 6 (ifeq_axiom) }
% 59.30/7.75 ifeq(p18(c20, f11(f13(f15(c20), f14(f4(c20), c21)), c23, c24)), true, ifeq(ifeq(p2(f13(f15(c20), f14(f4(c20), c21)), f13(f15(c20), f14(f4(c20), c22))), true, p10(f11(f13(f15(c20), f14(f4(c20), c21)), c23, c24), f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24)), true), true, p18(c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24)), true), true)
% 59.30/7.75 = { by axiom 6 (ifeq_axiom) R->L }
% 59.30/7.75 ifeq(p18(c20, f11(f13(f15(c20), f14(f4(c20), c21)), c23, c24)), true, ifeq(ifeq(ifeq(true, true, p2(f13(f15(c20), f14(f4(c20), c21)), f13(f15(c20), f14(f4(c20), c22))), true), true, p10(f11(f13(f15(c20), f14(f4(c20), c21)), c23, c24), f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24)), true), true, p18(c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24)), true), true)
% 59.30/7.75 = { by axiom 8 (p12_27) R->L }
% 59.30/7.75 ifeq(p18(c20, f11(f13(f15(c20), f14(f4(c20), c21)), c23, c24)), true, ifeq(ifeq(ifeq(ifeq(p3(c21, c22), true, ifeq(p3(f4(c20), f4(c20)), true, p12(f14(f4(c20), c21), f14(f4(c20), c22)), true), true), true, p2(f13(f15(c20), f14(f4(c20), c21)), f13(f15(c20), f14(f4(c20), c22))), true), true, p10(f11(f13(f15(c20), f14(f4(c20), c21)), c23, c24), f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24)), true), true, p18(c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24)), true), true)
% 59.30/7.75 = { by axiom 1 (p3_3) }
% 59.30/7.75 ifeq(p18(c20, f11(f13(f15(c20), f14(f4(c20), c21)), c23, c24)), true, ifeq(ifeq(ifeq(ifeq(p3(c21, c22), true, ifeq(true, true, p12(f14(f4(c20), c21), f14(f4(c20), c22)), true), true), true, p2(f13(f15(c20), f14(f4(c20), c21)), f13(f15(c20), f14(f4(c20), c22))), true), true, p10(f11(f13(f15(c20), f14(f4(c20), c21)), c23, c24), f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24)), true), true, p18(c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24)), true), true)
% 59.30/7.75 = { by axiom 6 (ifeq_axiom) }
% 59.30/7.75 ifeq(p18(c20, f11(f13(f15(c20), f14(f4(c20), c21)), c23, c24)), true, ifeq(ifeq(ifeq(ifeq(p3(c21, c22), true, p12(f14(f4(c20), c21), f14(f4(c20), c22)), true), true, p2(f13(f15(c20), f14(f4(c20), c21)), f13(f15(c20), f14(f4(c20), c22))), true), true, p10(f11(f13(f15(c20), f14(f4(c20), c21)), c23, c24), f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24)), true), true, p18(c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24)), true), true)
% 59.30/7.75 = { by axiom 2 (p3_7) }
% 59.30/7.75 ifeq(p18(c20, f11(f13(f15(c20), f14(f4(c20), c21)), c23, c24)), true, ifeq(ifeq(ifeq(ifeq(true, true, p12(f14(f4(c20), c21), f14(f4(c20), c22)), true), true, p2(f13(f15(c20), f14(f4(c20), c21)), f13(f15(c20), f14(f4(c20), c22))), true), true, p10(f11(f13(f15(c20), f14(f4(c20), c21)), c23, c24), f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24)), true), true, p18(c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24)), true), true)
% 59.30/7.75 = { by axiom 6 (ifeq_axiom) }
% 59.30/7.75 ifeq(p18(c20, f11(f13(f15(c20), f14(f4(c20), c21)), c23, c24)), true, ifeq(ifeq(ifeq(p12(f14(f4(c20), c21), f14(f4(c20), c22)), true, p2(f13(f15(c20), f14(f4(c20), c21)), f13(f15(c20), f14(f4(c20), c22))), true), true, p10(f11(f13(f15(c20), f14(f4(c20), c21)), c23, c24), f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24)), true), true, p18(c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24)), true), true)
% 59.30/7.75 = { by axiom 6 (ifeq_axiom) R->L }
% 59.30/7.75 ifeq(p18(c20, f11(f13(f15(c20), f14(f4(c20), c21)), c23, c24)), true, ifeq(ifeq(ifeq(p12(f14(f4(c20), c21), f14(f4(c20), c22)), true, ifeq(true, true, p2(f13(f15(c20), f14(f4(c20), c21)), f13(f15(c20), f14(f4(c20), c22))), true), true), true, p10(f11(f13(f15(c20), f14(f4(c20), c21)), c23, c24), f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24)), true), true, p18(c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24)), true), true)
% 59.30/7.75 = { by axiom 1 (p3_3) R->L }
% 59.30/7.75 ifeq(p18(c20, f11(f13(f15(c20), f14(f4(c20), c21)), c23, c24)), true, ifeq(ifeq(ifeq(p12(f14(f4(c20), c21), f14(f4(c20), c22)), true, ifeq(p3(f15(c20), f15(c20)), true, p2(f13(f15(c20), f14(f4(c20), c21)), f13(f15(c20), f14(f4(c20), c22))), true), true), true, p10(f11(f13(f15(c20), f14(f4(c20), c21)), c23, c24), f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24)), true), true, p18(c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24)), true), true)
% 59.30/7.75 = { by axiom 9 (p2_26) }
% 59.30/7.75 ifeq(p18(c20, f11(f13(f15(c20), f14(f4(c20), c21)), c23, c24)), true, ifeq(ifeq(true, true, p10(f11(f13(f15(c20), f14(f4(c20), c21)), c23, c24), f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24)), true), true, p18(c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24)), true), true)
% 59.30/7.76 = { by axiom 6 (ifeq_axiom) }
% 59.30/7.76 ifeq(p18(c20, f11(f13(f15(c20), f14(f4(c20), c21)), c23, c24)), true, ifeq(p10(f11(f13(f15(c20), f14(f4(c20), c21)), c23, c24), f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24)), true, p18(c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24)), true), true)
% 59.30/7.76 = { by axiom 6 (ifeq_axiom) R->L }
% 59.30/7.76 ifeq(p18(c20, f11(f13(f15(c20), f14(f4(c20), c21)), c23, c24)), true, ifeq(true, true, ifeq(p10(f11(f13(f15(c20), f14(f4(c20), c21)), c23, c24), f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24)), true, p18(c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24)), true), true), true)
% 59.30/7.76 = { by axiom 3 (p2_4) R->L }
% 59.30/7.76 ifeq(p18(c20, f11(f13(f15(c20), f14(f4(c20), c21)), c23, c24)), true, ifeq(p2(c20, c20), true, ifeq(p10(f11(f13(f15(c20), f14(f4(c20), c21)), c23, c24), f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24)), true, p18(c20, f11(f13(f15(c20), f14(f4(c20), c22)), c23, c24)), true), true), true)
% 59.30/7.76 = { by axiom 10 (p18_24) }
% 59.30/7.76 true
% 59.30/7.76 % SZS output end Proof
% 59.30/7.76
% 59.30/7.76 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------