%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN286-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.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 01:47:28 PM UTC 2026
% Result : Unsatisfiable 6.15s 1.07s
% Output : Proof 6.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN286-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.18 % Computer : n005.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 15:40:31 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.15/1.07 Command-line arguments: --lhs-weight 9 --flip-ordering --complete-subsets --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 6.15/1.07
% 6.15/1.07 % SZS status Unsatisfiable
% 6.15/1.07
% 6.15/1.07 % SZS output start Proof
% 6.15/1.07 Axiom 1 (axiom_20): l0(a) = true.
% 6.15/1.07 Axiom 2 (axiom_28): k0(e) = true.
% 6.15/1.07 Axiom 3 (axiom_19): m0(X, d, Y) = true.
% 6.15/1.07 Axiom 4 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 6.15/1.07 Axiom 5 (rule_107): ifeq(m0(e, d, X), true, ifeq(m0(X, d, X), true, q1(e, X, X), true), true) = true.
% 6.15/1.07 Axiom 6 (rule_099): ifeq(q1(X, X, Y), true, ifeq(k0(Y), true, ifeq(l0(Z), true, q1(Z, X, X), true), true), true) = true.
% 6.15/1.07
% 6.15/1.07 Goal 1 (prove_this): q1(a, e, X) = true.
% 6.15/1.07 The goal is true when:
% 6.15/1.07 X = e
% 6.15/1.07
% 6.15/1.07 Proof:
% 6.15/1.07 q1(a, e, e)
% 6.15/1.07 = { by axiom 4 (ifeq_axiom) R->L }
% 6.15/1.07 ifeq(true, true, q1(a, e, e), true)
% 6.15/1.07 = { by axiom 1 (axiom_20) R->L }
% 6.15/1.07 ifeq(l0(a), true, q1(a, e, e), true)
% 6.15/1.07 = { by axiom 4 (ifeq_axiom) R->L }
% 6.15/1.07 ifeq(true, true, ifeq(l0(a), true, q1(a, e, e), true), true)
% 6.15/1.07 = { by axiom 2 (axiom_28) R->L }
% 6.15/1.07 ifeq(k0(e), true, ifeq(l0(a), true, q1(a, e, e), true), true)
% 6.15/1.07 = { by axiom 4 (ifeq_axiom) R->L }
% 6.15/1.07 ifeq(true, true, ifeq(k0(e), true, ifeq(l0(a), true, q1(a, e, e), true), true), true)
% 6.15/1.07 = { by axiom 5 (rule_107) R->L }
% 6.15/1.07 ifeq(ifeq(m0(e, d, e), true, ifeq(m0(e, d, e), true, q1(e, e, e), true), true), true, ifeq(k0(e), true, ifeq(l0(a), true, q1(a, e, e), true), true), true)
% 6.15/1.07 = { by axiom 3 (axiom_19) }
% 6.15/1.07 ifeq(ifeq(true, true, ifeq(m0(e, d, e), true, q1(e, e, e), true), true), true, ifeq(k0(e), true, ifeq(l0(a), true, q1(a, e, e), true), true), true)
% 6.15/1.07 = { by axiom 4 (ifeq_axiom) }
% 6.15/1.07 ifeq(ifeq(m0(e, d, e), true, q1(e, e, e), true), true, ifeq(k0(e), true, ifeq(l0(a), true, q1(a, e, e), true), true), true)
% 6.15/1.07 = { by axiom 3 (axiom_19) }
% 6.15/1.08 ifeq(ifeq(true, true, q1(e, e, e), true), true, ifeq(k0(e), true, ifeq(l0(a), true, q1(a, e, e), true), true), true)
% 6.15/1.08 = { by axiom 4 (ifeq_axiom) }
% 6.15/1.08 ifeq(q1(e, e, e), true, ifeq(k0(e), true, ifeq(l0(a), true, q1(a, e, e), true), true), true)
% 6.15/1.08 = { by axiom 6 (rule_099) }
% 6.15/1.08 true
% 6.15/1.08 % SZS output end Proof
% 6.15/1.08
% 6.15/1.08 RESULT: Unsatisfiable (the axioms are contradictory).
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