%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN158-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 01:47:12 PM UTC 2026
% Result : Unsatisfiable 5.40s 0.94s
% Output : Proof 5.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN158-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.17 % Computer : n016.cluster.edu
% 0.10/0.17 % Model : x86_64 x86_64
% 0.10/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.17 % Memory : 8046.5625MB
% 0.10/0.17 % OS : Linux 6.8.0-71-generic
% 0.10/0.17 % CPULimit : 300
% 0.10/0.17 % WCLimit : 300
% 0.10/0.17 % DateTime : Mon Sep 28 15:42:18 UTC 2026
% 0.10/0.17 % CPUTime :
% 0.10/0.17 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.40/0.94 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
% 5.40/0.94
% 5.40/0.94 % SZS status Unsatisfiable
% 5.40/0.94
% 5.40/0.95 % SZS output start Proof
% 5.40/0.95 Axiom 1 (axiom_13): r0(e) = true.
% 5.40/0.95 Axiom 2 (axiom_28): k0(e) = true.
% 5.40/0.95 Axiom 3 (axiom_14): p0(b, X) = true.
% 5.40/0.95 Axiom 4 (axiom_30): n0(e, e) = true.
% 5.40/0.95 Axiom 5 (axiom_19): m0(X, d, Y) = true.
% 5.40/0.95 Axiom 6 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 5.40/0.95 Axiom 7 (rule_314): ifeq(r4(X), true, n5(X, X), true) = true.
% 5.40/0.95 Axiom 8 (rule_240): ifeq(p2(X, Y, Z), true, n3(Z), true) = true.
% 5.40/0.95 Axiom 9 (rule_006): ifeq(m0(X, X, Y), true, m1(Y, Y, Y), true) = true.
% 5.40/0.95 Axiom 10 (rule_150): ifeq(m1(X, X, Y), true, p2(Y, Y, Y), true) = true.
% 5.40/0.95 Axiom 11 (rule_181): ifeq(p1(X, X, X), true, q2(X, X, X), true) = true.
% 5.40/0.95 Axiom 12 (rule_090): ifeq(k0(e), true, ifeq(r0(e), true, p1(e, e, e), true), true) = true.
% 5.40/0.95 Axiom 13 (rule_255): ifeq(q2(X, Y, Z), true, ifeq(n0(X, Y), true, q3(Y, Z), true), true) = true.
% 5.40/0.95 Axiom 14 (rule_298): ifeq(q3(X, Y), true, ifeq(n3(Z), true, ifeq(p0(W, Z), true, r4(Z), true), true), true) = true.
% 5.40/0.95
% 5.40/0.95 Goal 1 (prove_this): n5(a, a) = true.
% 5.40/0.95 Proof:
% 5.40/0.95 n5(a, a)
% 5.40/0.95 = { by axiom 6 (ifeq_axiom) R->L }
% 5.40/0.95 ifeq(true, true, n5(a, a), true)
% 5.40/0.95 = { by axiom 14 (rule_298) R->L }
% 5.40/0.95 ifeq(ifeq(q3(e, e), true, ifeq(n3(a), true, ifeq(p0(b, a), true, r4(a), true), true), true), true, n5(a, a), true)
% 5.40/0.95 = { by axiom 3 (axiom_14) }
% 5.40/0.95 ifeq(ifeq(q3(e, e), true, ifeq(n3(a), true, ifeq(true, true, r4(a), true), true), true), true, n5(a, a), true)
% 5.40/0.95 = { by axiom 6 (ifeq_axiom) R->L }
% 5.40/0.95 ifeq(ifeq(q3(e, e), true, ifeq(ifeq(true, true, n3(a), true), true, ifeq(true, true, r4(a), true), true), true), true, n5(a, a), true)
% 5.40/0.95 = { by axiom 10 (rule_150) R->L }
% 5.40/0.95 ifeq(ifeq(q3(e, e), true, ifeq(ifeq(ifeq(m1(a, a, a), true, p2(a, a, a), true), true, n3(a), true), true, ifeq(true, true, r4(a), true), true), true), true, n5(a, a), true)
% 5.40/0.95 = { by axiom 6 (ifeq_axiom) R->L }
% 5.40/0.95 ifeq(ifeq(q3(e, e), true, ifeq(ifeq(ifeq(ifeq(true, true, m1(a, a, a), true), true, p2(a, a, a), true), true, n3(a), true), true, ifeq(true, true, r4(a), true), true), true), true, n5(a, a), true)
% 5.40/0.95 = { by axiom 5 (axiom_19) R->L }
% 5.40/0.95 ifeq(ifeq(q3(e, e), true, ifeq(ifeq(ifeq(ifeq(m0(d, d, a), true, m1(a, a, a), true), true, p2(a, a, a), true), true, n3(a), true), true, ifeq(true, true, r4(a), true), true), true), true, n5(a, a), true)
% 5.40/0.95 = { by axiom 9 (rule_006) }
% 5.40/0.95 ifeq(ifeq(q3(e, e), true, ifeq(ifeq(ifeq(true, true, p2(a, a, a), true), true, n3(a), true), true, ifeq(true, true, r4(a), true), true), true), true, n5(a, a), true)
% 5.40/0.95 = { by axiom 6 (ifeq_axiom) }
% 5.40/0.95 ifeq(ifeq(q3(e, e), true, ifeq(ifeq(p2(a, a, a), true, n3(a), true), true, ifeq(true, true, r4(a), true), true), true), true, n5(a, a), true)
% 5.40/0.95 = { by axiom 8 (rule_240) }
% 5.40/0.95 ifeq(ifeq(q3(e, e), true, ifeq(true, true, ifeq(true, true, r4(a), true), true), true), true, n5(a, a), true)
% 5.40/0.95 = { by axiom 6 (ifeq_axiom) }
% 5.40/0.95 ifeq(ifeq(q3(e, e), true, ifeq(true, true, r4(a), true), true), true, n5(a, a), true)
% 5.40/0.95 = { by axiom 6 (ifeq_axiom) }
% 5.40/0.95 ifeq(ifeq(q3(e, e), true, r4(a), true), true, n5(a, a), true)
% 5.40/0.95 = { by axiom 6 (ifeq_axiom) R->L }
% 5.40/0.95 ifeq(ifeq(ifeq(true, true, q3(e, e), true), true, r4(a), true), true, n5(a, a), true)
% 5.40/0.95 = { by axiom 4 (axiom_30) R->L }
% 5.40/0.95 ifeq(ifeq(ifeq(n0(e, e), true, q3(e, e), true), true, r4(a), true), true, n5(a, a), true)
% 5.40/0.95 = { by axiom 6 (ifeq_axiom) R->L }
% 5.40/0.95 ifeq(ifeq(ifeq(true, true, ifeq(n0(e, e), true, q3(e, e), true), true), true, r4(a), true), true, n5(a, a), true)
% 5.40/0.95 = { by axiom 11 (rule_181) R->L }
% 5.40/0.95 ifeq(ifeq(ifeq(ifeq(p1(e, e, e), true, q2(e, e, e), true), true, ifeq(n0(e, e), true, q3(e, e), true), true), true, r4(a), true), true, n5(a, a), true)
% 5.40/0.95 = { by axiom 6 (ifeq_axiom) R->L }
% 5.40/0.95 ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p1(e, e, e), true), true, q2(e, e, e), true), true, ifeq(n0(e, e), true, q3(e, e), true), true), true, r4(a), true), true, n5(a, a), true)
% 5.40/0.95 = { by axiom 1 (axiom_13) R->L }
% 5.40/0.95 ifeq(ifeq(ifeq(ifeq(ifeq(r0(e), true, p1(e, e, e), true), true, q2(e, e, e), true), true, ifeq(n0(e, e), true, q3(e, e), true), true), true, r4(a), true), true, n5(a, a), true)
% 5.40/0.95 = { by axiom 6 (ifeq_axiom) R->L }
% 5.40/0.95 ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(r0(e), true, p1(e, e, e), true), true), true, q2(e, e, e), true), true, ifeq(n0(e, e), true, q3(e, e), true), true), true, r4(a), true), true, n5(a, a), true)
% 5.40/0.95 = { by axiom 2 (axiom_28) R->L }
% 5.40/0.95 ifeq(ifeq(ifeq(ifeq(ifeq(k0(e), true, ifeq(r0(e), true, p1(e, e, e), true), true), true, q2(e, e, e), true), true, ifeq(n0(e, e), true, q3(e, e), true), true), true, r4(a), true), true, n5(a, a), true)
% 5.40/0.95 = { by axiom 12 (rule_090) }
% 5.40/0.95 ifeq(ifeq(ifeq(ifeq(true, true, q2(e, e, e), true), true, ifeq(n0(e, e), true, q3(e, e), true), true), true, r4(a), true), true, n5(a, a), true)
% 5.40/0.95 = { by axiom 6 (ifeq_axiom) }
% 5.40/0.95 ifeq(ifeq(ifeq(q2(e, e, e), true, ifeq(n0(e, e), true, q3(e, e), true), true), true, r4(a), true), true, n5(a, a), true)
% 5.40/0.95 = { by axiom 13 (rule_255) }
% 5.40/0.95 ifeq(ifeq(true, true, r4(a), true), true, n5(a, a), true)
% 5.40/0.95 = { by axiom 6 (ifeq_axiom) }
% 5.40/0.95 ifeq(r4(a), true, n5(a, a), true)
% 5.40/0.95 = { by axiom 7 (rule_314) }
% 5.40/0.95 true
% 5.40/0.95 % SZS output end Proof
% 5.40/0.95
% 5.40/0.95 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------