%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN301-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 01:47:30 PM UTC 2026
% Result : Unsatisfiable 6.34s 1.12s
% Output : Proof 6.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN301-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.17 % Computer : n011.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 15:41:00 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.34/1.12 Command-line arguments: --lhs-weight 9 --flip-ordering --complete-subsets --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 6.34/1.12
% 6.34/1.12 % SZS status Unsatisfiable
% 6.34/1.12
% 6.34/1.12 % SZS output start Proof
% 6.34/1.12 Axiom 1 (axiom_14): p0(b, X) = true.
% 6.34/1.12 Axiom 2 (axiom_37): n0(b, a) = true.
% 6.34/1.12 Axiom 3 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 6.34/1.12 Axiom 4 (rule_244): ifeq(n2(X), true, p3(X, X, X), true) = true.
% 6.34/1.12 Axiom 5 (rule_002): ifeq(n0(X, Y), true, l1(Y, Y), true) = true.
% 6.34/1.12 Axiom 6 (rule_137): ifeq(p1(X, Y, Z), true, n2(Z), true) = true.
% 6.34/1.12 Axiom 7 (rule_085): ifeq(p0(X, Y), true, p1(Y, Y, Y), true) = true.
% 6.34/1.12 Axiom 8 (rule_299): ifeq(p3(X, Y, Z), true, ifeq(l1(W, Y), true, s4(W), true), true) = true.
% 6.34/1.12
% 6.34/1.12 Goal 1 (prove_this): s4(a) = true.
% 6.34/1.12 Proof:
% 6.34/1.12 s4(a)
% 6.34/1.12 = { by axiom 3 (ifeq_axiom) R->L }
% 6.34/1.12 ifeq(true, true, s4(a), true)
% 6.34/1.12 = { by axiom 4 (rule_244) R->L }
% 6.34/1.12 ifeq(ifeq(n2(a), true, p3(a, a, a), true), true, s4(a), true)
% 6.34/1.12 = { by axiom 3 (ifeq_axiom) R->L }
% 6.34/1.12 ifeq(ifeq(ifeq(true, true, n2(a), true), true, p3(a, a, a), true), true, s4(a), true)
% 6.34/1.12 = { by axiom 7 (rule_085) R->L }
% 6.34/1.12 ifeq(ifeq(ifeq(ifeq(p0(b, a), true, p1(a, a, a), true), true, n2(a), true), true, p3(a, a, a), true), true, s4(a), true)
% 6.34/1.12 = { by axiom 1 (axiom_14) }
% 6.34/1.12 ifeq(ifeq(ifeq(ifeq(true, true, p1(a, a, a), true), true, n2(a), true), true, p3(a, a, a), true), true, s4(a), true)
% 6.34/1.12 = { by axiom 3 (ifeq_axiom) }
% 6.34/1.12 ifeq(ifeq(ifeq(p1(a, a, a), true, n2(a), true), true, p3(a, a, a), true), true, s4(a), true)
% 6.34/1.12 = { by axiom 6 (rule_137) }
% 6.34/1.13 ifeq(ifeq(true, true, p3(a, a, a), true), true, s4(a), true)
% 6.34/1.13 = { by axiom 3 (ifeq_axiom) }
% 6.34/1.13 ifeq(p3(a, a, a), true, s4(a), true)
% 6.34/1.13 = { by axiom 3 (ifeq_axiom) R->L }
% 6.34/1.13 ifeq(p3(a, a, a), true, ifeq(true, true, s4(a), true), true)
% 6.34/1.13 = { by axiom 5 (rule_002) R->L }
% 6.34/1.13 ifeq(p3(a, a, a), true, ifeq(ifeq(n0(b, a), true, l1(a, a), true), true, s4(a), true), true)
% 6.34/1.13 = { by axiom 2 (axiom_37) }
% 6.34/1.13 ifeq(p3(a, a, a), true, ifeq(ifeq(true, true, l1(a, a), true), true, s4(a), true), true)
% 6.34/1.13 = { by axiom 3 (ifeq_axiom) }
% 6.34/1.13 ifeq(p3(a, a, a), true, ifeq(l1(a, a), true, s4(a), true), true)
% 6.34/1.13 = { by axiom 8 (rule_299) }
% 6.34/1.13 true
% 6.34/1.13 % SZS output end Proof
% 6.34/1.13
% 6.34/1.13 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------