%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN264-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 01:47:25 PM UTC 2026
% Result : Unsatisfiable 4.44s 0.75s
% Output : Proof 4.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN264-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.02 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.00/0.10 % Computer : n012.cluster.edu
% 0.00/0.10 % Model : x86_64 x86_64
% 0.00/0.10 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10 % Memory : 8046.5625MB
% 0.00/0.10 % OS : Linux 6.8.0-71-generic
% 0.00/0.10 % CPULimit : 300
% 0.00/0.10 % WCLimit : 300
% 0.00/0.10 % DateTime : Mon Sep 28 15:39:53 UTC 2026
% 0.00/0.10 % CPUTime :
% 0.00/0.10 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.44/0.75 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
% 4.44/0.75
% 4.44/0.75 % SZS status Unsatisfiable
% 4.44/0.75
% 4.44/0.75 % SZS output start Proof
% 4.44/0.75 Axiom 1 (axiom_5): s0(b) = true.
% 4.44/0.75 Axiom 2 (axiom_24): l0(c) = true.
% 4.44/0.75 Axiom 3 (axiom_28): k0(e) = true.
% 4.44/0.75 Axiom 4 (axiom_26): n0(d, c) = true.
% 4.44/0.75 Axiom 5 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 4.44/0.75 Axiom 6 (rule_063): ifeq(k0(X), true, ifeq(n0(d, Y), true, p1(Y, Y, X), true), true) = true.
% 4.44/0.75 Axiom 7 (rule_071): ifeq(p1(X, Y, Z), true, ifeq(l0(W), true, ifeq(s0(b), true, p1(Z, X, Z), true), true), true) = true.
% 4.44/0.75
% 4.44/0.75 Goal 1 (prove_this): p1(e, c, e) = true.
% 4.44/0.75 Proof:
% 4.44/0.75 p1(e, c, e)
% 4.44/0.75 = { by axiom 5 (ifeq_axiom) R->L }
% 4.44/0.75 ifeq(true, true, p1(e, c, e), true)
% 4.44/0.75 = { by axiom 2 (axiom_24) R->L }
% 4.44/0.75 ifeq(l0(c), true, p1(e, c, e), true)
% 4.44/0.75 = { by axiom 5 (ifeq_axiom) R->L }
% 4.44/0.75 ifeq(true, true, ifeq(l0(c), true, p1(e, c, e), true), true)
% 4.44/0.75 = { by axiom 6 (rule_063) R->L }
% 4.44/0.75 ifeq(ifeq(k0(e), true, ifeq(n0(d, c), true, p1(c, c, e), true), true), true, ifeq(l0(c), true, p1(e, c, e), true), true)
% 4.44/0.75 = { by axiom 4 (axiom_26) }
% 4.44/0.75 ifeq(ifeq(k0(e), true, ifeq(true, true, p1(c, c, e), true), true), true, ifeq(l0(c), true, p1(e, c, e), true), true)
% 4.44/0.75 = { by axiom 5 (ifeq_axiom) }
% 4.44/0.75 ifeq(ifeq(k0(e), true, p1(c, c, e), true), true, ifeq(l0(c), true, p1(e, c, e), true), true)
% 4.44/0.75 = { by axiom 3 (axiom_28) }
% 4.44/0.75 ifeq(ifeq(true, true, p1(c, c, e), true), true, ifeq(l0(c), true, p1(e, c, e), true), true)
% 4.44/0.75 = { by axiom 5 (ifeq_axiom) }
% 4.44/0.75 ifeq(p1(c, c, e), true, ifeq(l0(c), true, p1(e, c, e), true), true)
% 4.44/0.75 = { by axiom 5 (ifeq_axiom) R->L }
% 4.44/0.75 ifeq(p1(c, c, e), true, ifeq(l0(c), true, ifeq(true, true, p1(e, c, e), true), true), true)
% 4.44/0.75 = { by axiom 1 (axiom_5) R->L }
% 4.44/0.76 ifeq(p1(c, c, e), true, ifeq(l0(c), true, ifeq(s0(b), true, p1(e, c, e), true), true), true)
% 4.44/0.76 = { by axiom 7 (rule_071) }
% 4.44/0.76 true
% 4.44/0.76 % SZS output end Proof
% 4.44/0.76
% 4.44/0.76 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------