%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN176-1 : TPTP v9.3.1. Released v1.1.0.
% 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 01:47:15 PM UTC 2026
% Result : Unsatisfiable 7.32s 1.26s
% Output : Proof 7.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN176-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.17 % Computer : n007.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Mon Sep 28 15:35:55 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.32/1.26 Command-line arguments: --lhs-weight 9 --flip-ordering --complete-subsets --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 7.32/1.26
% 7.32/1.26 % SZS status Unsatisfiable
% 7.32/1.26
% 7.32/1.27 % SZS output start Proof
% 7.32/1.27 Axiom 1 (axiom_13): r0(e) = true.
% 7.32/1.27 Axiom 2 (axiom_28): k0(e) = true.
% 7.32/1.27 Axiom 3 (axiom_14): p0(b, X) = true.
% 7.32/1.27 Axiom 4 (axiom_26): n0(d, c) = true.
% 7.32/1.27 Axiom 5 (axiom_19): m0(X, d, Y) = true.
% 7.32/1.27 Axiom 6 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 7.32/1.27 Axiom 7 (rule_001): ifeq(n0(X, Y), true, k1(Y), true) = true.
% 7.32/1.27 Axiom 8 (rule_085): ifeq(p0(X, Y), true, p1(Y, Y, Y), true) = true.
% 7.32/1.27 Axiom 9 (rule_090): ifeq(k0(e), true, ifeq(r0(e), true, p1(e, e, e), true), true) = true.
% 7.32/1.27 Axiom 10 (rule_040): ifeq(k1(X), true, ifeq(m0(X, Y, e), true, n1(X, e, e), true), true) = true.
% 7.32/1.27 Axiom 11 (rule_177): ifeq(p1(X, X, X), true, ifeq(k0(Y), true, q2(X, Y, Y), true), true) = true.
% 7.32/1.27 Axiom 12 (rule_182): ifeq(q2(X, Y, Z), true, ifeq(p1(Z, Z, Y), true, ifeq(n1(X, Z, Y), true, q2(Z, X, Z), true), true), true) = true.
% 7.32/1.27
% 7.32/1.27 Goal 1 (prove_this): q2(e, c, X) = true.
% 7.32/1.27 The goal is true when:
% 7.32/1.27 X = e
% 7.32/1.27
% 7.32/1.27 Proof:
% 7.32/1.27 q2(e, c, e)
% 7.32/1.27 = { by axiom 6 (ifeq_axiom) R->L }
% 7.32/1.27 ifeq(true, true, q2(e, c, e), true)
% 7.32/1.27 = { by axiom 6 (ifeq_axiom) R->L }
% 7.32/1.27 ifeq(true, true, ifeq(true, true, q2(e, c, e), true), true)
% 7.32/1.27 = { by axiom 9 (rule_090) R->L }
% 7.32/1.27 ifeq(ifeq(k0(e), true, ifeq(r0(e), true, p1(e, e, e), true), true), true, ifeq(true, true, q2(e, c, e), true), true)
% 7.32/1.27 = { by axiom 2 (axiom_28) }
% 7.32/1.27 ifeq(ifeq(true, true, ifeq(r0(e), true, p1(e, e, e), true), true), true, ifeq(true, true, q2(e, c, e), true), true)
% 7.32/1.27 = { by axiom 6 (ifeq_axiom) }
% 7.32/1.27 ifeq(ifeq(r0(e), true, p1(e, e, e), true), true, ifeq(true, true, q2(e, c, e), true), true)
% 7.32/1.27 = { by axiom 1 (axiom_13) }
% 7.32/1.27 ifeq(ifeq(true, true, p1(e, e, e), true), true, ifeq(true, true, q2(e, c, e), true), true)
% 7.32/1.27 = { by axiom 6 (ifeq_axiom) }
% 7.32/1.27 ifeq(p1(e, e, e), true, ifeq(true, true, q2(e, c, e), true), true)
% 7.32/1.27 = { by axiom 6 (ifeq_axiom) R->L }
% 7.32/1.27 ifeq(true, true, ifeq(p1(e, e, e), true, ifeq(true, true, q2(e, c, e), true), true), true)
% 7.32/1.27 = { by axiom 11 (rule_177) R->L }
% 7.32/1.27 ifeq(ifeq(p1(c, c, c), true, ifeq(k0(e), true, q2(c, e, e), true), true), true, ifeq(p1(e, e, e), true, ifeq(true, true, q2(e, c, e), true), true), true)
% 7.32/1.27 = { by axiom 6 (ifeq_axiom) R->L }
% 7.32/1.27 ifeq(ifeq(ifeq(true, true, p1(c, c, c), true), true, ifeq(k0(e), true, q2(c, e, e), true), true), true, ifeq(p1(e, e, e), true, ifeq(true, true, q2(e, c, e), true), true), true)
% 7.32/1.27 = { by axiom 3 (axiom_14) R->L }
% 7.32/1.27 ifeq(ifeq(ifeq(p0(b, c), true, p1(c, c, c), true), true, ifeq(k0(e), true, q2(c, e, e), true), true), true, ifeq(p1(e, e, e), true, ifeq(true, true, q2(e, c, e), true), true), true)
% 7.32/1.27 = { by axiom 8 (rule_085) }
% 7.32/1.27 ifeq(ifeq(true, true, ifeq(k0(e), true, q2(c, e, e), true), true), true, ifeq(p1(e, e, e), true, ifeq(true, true, q2(e, c, e), true), true), true)
% 7.32/1.27 = { by axiom 6 (ifeq_axiom) }
% 7.32/1.27 ifeq(ifeq(k0(e), true, q2(c, e, e), true), true, ifeq(p1(e, e, e), true, ifeq(true, true, q2(e, c, e), true), true), true)
% 7.32/1.27 = { by axiom 2 (axiom_28) }
% 7.32/1.27 ifeq(ifeq(true, true, q2(c, e, e), true), true, ifeq(p1(e, e, e), true, ifeq(true, true, q2(e, c, e), true), true), true)
% 7.32/1.27 = { by axiom 6 (ifeq_axiom) }
% 7.32/1.27 ifeq(q2(c, e, e), true, ifeq(p1(e, e, e), true, ifeq(true, true, q2(e, c, e), true), true), true)
% 7.32/1.27 = { by axiom 10 (rule_040) R->L }
% 7.32/1.27 ifeq(q2(c, e, e), true, ifeq(p1(e, e, e), true, ifeq(ifeq(k1(c), true, ifeq(m0(c, d, e), true, n1(c, e, e), true), true), true, q2(e, c, e), true), true), true)
% 7.32/1.27 = { by axiom 5 (axiom_19) }
% 7.32/1.27 ifeq(q2(c, e, e), true, ifeq(p1(e, e, e), true, ifeq(ifeq(k1(c), true, ifeq(true, true, n1(c, e, e), true), true), true, q2(e, c, e), true), true), true)
% 7.32/1.27 = { by axiom 6 (ifeq_axiom) }
% 7.32/1.27 ifeq(q2(c, e, e), true, ifeq(p1(e, e, e), true, ifeq(ifeq(k1(c), true, n1(c, e, e), true), true, q2(e, c, e), true), true), true)
% 7.32/1.27 = { by axiom 6 (ifeq_axiom) R->L }
% 7.32/1.27 ifeq(q2(c, e, e), true, ifeq(p1(e, e, e), true, ifeq(ifeq(ifeq(true, true, k1(c), true), true, n1(c, e, e), true), true, q2(e, c, e), true), true), true)
% 7.32/1.27 = { by axiom 4 (axiom_26) R->L }
% 7.32/1.27 ifeq(q2(c, e, e), true, ifeq(p1(e, e, e), true, ifeq(ifeq(ifeq(n0(d, c), true, k1(c), true), true, n1(c, e, e), true), true, q2(e, c, e), true), true), true)
% 7.32/1.27 = { by axiom 7 (rule_001) }
% 7.32/1.27 ifeq(q2(c, e, e), true, ifeq(p1(e, e, e), true, ifeq(ifeq(true, true, n1(c, e, e), true), true, q2(e, c, e), true), true), true)
% 7.32/1.27 = { by axiom 6 (ifeq_axiom) }
% 7.32/1.27 ifeq(q2(c, e, e), true, ifeq(p1(e, e, e), true, ifeq(n1(c, e, e), true, q2(e, c, e), true), true), true)
% 7.32/1.27 = { by axiom 12 (rule_182) }
% 7.32/1.27 true
% 7.32/1.27 % SZS output end Proof
% 7.32/1.27
% 7.32/1.27 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------