%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN210-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 01:47:19 PM UTC 2026
% Result : Unsatisfiable 5.20s 1.18s
% Output : Proof 5.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN210-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.25 % Computer : n017.cluster.edu
% 0.10/0.25 % Model : x86_64 x86_64
% 0.10/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.25 % Memory : 8046.5625MB
% 0.10/0.25 % OS : Linux 6.8.0-71-generic
% 0.10/0.25 % CPULimit : 300
% 0.10/0.25 % WCLimit : 300
% 0.10/0.25 % DateTime : Mon Sep 28 15:33:36 UTC 2026
% 0.10/0.26 % CPUTime :
% 0.10/0.26 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.20/1.18 Command-line arguments: --lhs-weight 9 --flip-ordering --complete-subsets --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 5.20/1.18
% 5.20/1.18 % SZS status Unsatisfiable
% 5.20/1.18
% 5.20/1.18 % SZS output start Proof
% 5.20/1.18 Axiom 1 (axiom_14): p0(b, X) = true.
% 5.20/1.18 Axiom 2 (axiom_26): n0(d, c) = true.
% 5.20/1.18 Axiom 3 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 5.20/1.18 Axiom 4 (rule_244): ifeq(n2(X), true, p3(X, X, X), true) = true.
% 5.20/1.18 Axiom 5 (rule_002): ifeq(n0(X, Y), true, l1(Y, Y), true) = true.
% 5.20/1.18 Axiom 6 (rule_137): ifeq(p1(X, Y, Z), true, n2(Z), true) = true.
% 5.20/1.18 Axiom 7 (rule_085): ifeq(p0(X, Y), true, p1(Y, Y, Y), true) = true.
% 5.20/1.18 Axiom 8 (rule_299): ifeq(p3(X, Y, Z), true, ifeq(l1(W, Y), true, s4(W), true), true) = true.
% 5.20/1.18
% 5.20/1.18 Goal 1 (prove_this): s4(c) = true.
% 5.20/1.18 Proof:
% 5.20/1.18 s4(c)
% 5.20/1.18 = { by axiom 3 (ifeq_axiom) R->L }
% 5.20/1.18 ifeq(true, true, s4(c), true)
% 5.20/1.18 = { by axiom 4 (rule_244) R->L }
% 5.20/1.18 ifeq(ifeq(n2(c), true, p3(c, c, c), true), true, s4(c), true)
% 5.20/1.18 = { by axiom 3 (ifeq_axiom) R->L }
% 5.20/1.18 ifeq(ifeq(ifeq(true, true, n2(c), true), true, p3(c, c, c), true), true, s4(c), true)
% 5.20/1.18 = { by axiom 7 (rule_085) R->L }
% 5.20/1.18 ifeq(ifeq(ifeq(ifeq(p0(b, c), true, p1(c, c, c), true), true, n2(c), true), true, p3(c, c, c), true), true, s4(c), true)
% 5.20/1.18 = { by axiom 1 (axiom_14) }
% 5.20/1.18 ifeq(ifeq(ifeq(ifeq(true, true, p1(c, c, c), true), true, n2(c), true), true, p3(c, c, c), true), true, s4(c), true)
% 5.20/1.18 = { by axiom 3 (ifeq_axiom) }
% 5.20/1.18 ifeq(ifeq(ifeq(p1(c, c, c), true, n2(c), true), true, p3(c, c, c), true), true, s4(c), true)
% 5.20/1.18 = { by axiom 6 (rule_137) }
% 5.20/1.18 ifeq(ifeq(true, true, p3(c, c, c), true), true, s4(c), true)
% 5.20/1.18 = { by axiom 3 (ifeq_axiom) }
% 5.20/1.18 ifeq(p3(c, c, c), true, s4(c), true)
% 5.20/1.18 = { by axiom 3 (ifeq_axiom) R->L }
% 5.20/1.18 ifeq(p3(c, c, c), true, ifeq(true, true, s4(c), true), true)
% 5.20/1.18 = { by axiom 5 (rule_002) R->L }
% 5.20/1.18 ifeq(p3(c, c, c), true, ifeq(ifeq(n0(d, c), true, l1(c, c), true), true, s4(c), true), true)
% 5.20/1.18 = { by axiom 2 (axiom_26) }
% 5.20/1.18 ifeq(p3(c, c, c), true, ifeq(ifeq(true, true, l1(c, c), true), true, s4(c), true), true)
% 5.20/1.18 = { by axiom 3 (ifeq_axiom) }
% 5.20/1.18 ifeq(p3(c, c, c), true, ifeq(l1(c, c), true, s4(c), true), true)
% 5.20/1.18 = { by axiom 8 (rule_299) }
% 5.20/1.18 true
% 5.20/1.18 % SZS output end Proof
% 5.20/1.18
% 5.20/1.18 RESULT: Unsatisfiable (the axioms are contradictory).
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