%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN267-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n014.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 01:47:26 PM UTC 2026
% Result : Unsatisfiable 6.79s 1.13s
% Output : Proof 6.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN267-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.18 % Computer : n014.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 15:40:05 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.79/1.13 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
% 6.79/1.13
% 6.79/1.13 % SZS status Unsatisfiable
% 6.79/1.13
% 6.79/1.13 % SZS output start Proof
% 6.79/1.13 Axiom 1 (axiom_19): m0(X, d, Y) = true.
% 6.79/1.13 Axiom 2 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 6.79/1.13 Axiom 3 (rule_194): ifeq(k2(X, Y), true, k3(Y, Y, X), true) = true.
% 6.79/1.13 Axiom 4 (rule_129): ifeq(q1(X, Y, Y), true, k2(Y, Y), true) = true.
% 6.79/1.13 Axiom 5 (rule_287): ifeq(k3(X, X, Y), true, p4(X, Y, X), true) = true.
% 6.79/1.13 Axiom 6 (rule_107): ifeq(m0(e, d, X), true, ifeq(m0(X, d, X), true, q1(e, X, X), true), true) = true.
% 6.79/1.13
% 6.79/1.13 Goal 1 (prove_this): p4(X, Y, c) = true.
% 6.79/1.13 The goal is true when:
% 6.79/1.13 X = c
% 6.79/1.13 Y = c
% 6.79/1.13
% 6.79/1.13 Proof:
% 6.79/1.13 p4(c, c, c)
% 6.79/1.13 = { by axiom 2 (ifeq_axiom) R->L }
% 6.79/1.13 ifeq(true, true, p4(c, c, c), true)
% 6.79/1.13 = { by axiom 3 (rule_194) R->L }
% 6.79/1.13 ifeq(ifeq(k2(c, c), true, k3(c, c, c), true), true, p4(c, c, c), true)
% 6.79/1.13 = { by axiom 2 (ifeq_axiom) R->L }
% 6.79/1.13 ifeq(ifeq(ifeq(true, true, k2(c, c), true), true, k3(c, c, c), true), true, p4(c, c, c), true)
% 6.79/1.13 = { by axiom 6 (rule_107) R->L }
% 6.79/1.13 ifeq(ifeq(ifeq(ifeq(m0(e, d, c), true, ifeq(m0(c, d, c), true, q1(e, c, c), true), true), true, k2(c, c), true), true, k3(c, c, c), true), true, p4(c, c, c), true)
% 6.79/1.13 = { by axiom 1 (axiom_19) }
% 6.79/1.13 ifeq(ifeq(ifeq(ifeq(true, true, ifeq(m0(c, d, c), true, q1(e, c, c), true), true), true, k2(c, c), true), true, k3(c, c, c), true), true, p4(c, c, c), true)
% 6.79/1.13 = { by axiom 2 (ifeq_axiom) }
% 6.79/1.13 ifeq(ifeq(ifeq(ifeq(m0(c, d, c), true, q1(e, c, c), true), true, k2(c, c), true), true, k3(c, c, c), true), true, p4(c, c, c), true)
% 6.79/1.13 = { by axiom 1 (axiom_19) }
% 6.79/1.13 ifeq(ifeq(ifeq(ifeq(true, true, q1(e, c, c), true), true, k2(c, c), true), true, k3(c, c, c), true), true, p4(c, c, c), true)
% 6.79/1.13 = { by axiom 2 (ifeq_axiom) }
% 6.79/1.13 ifeq(ifeq(ifeq(q1(e, c, c), true, k2(c, c), true), true, k3(c, c, c), true), true, p4(c, c, c), true)
% 6.79/1.13 = { by axiom 4 (rule_129) }
% 6.79/1.13 ifeq(ifeq(true, true, k3(c, c, c), true), true, p4(c, c, c), true)
% 6.79/1.13 = { by axiom 2 (ifeq_axiom) }
% 6.79/1.13 ifeq(k3(c, c, c), true, p4(c, c, c), true)
% 6.79/1.13 = { by axiom 5 (rule_287) }
% 6.79/1.13 true
% 6.79/1.13 % SZS output end Proof
% 6.79/1.13
% 6.79/1.13 RESULT: Unsatisfiable (the axioms are contradictory).
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