%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN206-1 : 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 01:47:18 PM UTC 2026
% Result : Unsatisfiable 5.82s 0.95s
% Output : Proof 5.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN206-1 : 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 15:38:04 UTC 2026
% 0.00/0.10 % CPUTime :
% 0.00/0.10 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.82/0.95 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
% 5.82/0.95
% 5.82/0.95 % SZS status Unsatisfiable
% 5.82/0.95
% 5.82/0.96 % SZS output start Proof
% 5.82/0.96 Axiom 1 (axiom_32): k0(b) = true.
% 5.82/0.96 Axiom 2 (axiom_14): p0(b, X) = true.
% 5.82/0.96 Axiom 3 (axiom_19): m0(X, d, Y) = true.
% 5.82/0.96 Axiom 4 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 5.82/0.96 Axiom 5 (rule_125): ifeq(p0(X, X), true, s1(X), true) = true.
% 5.82/0.96 Axiom 6 (rule_085): ifeq(p0(X, Y), true, p1(Y, Y, Y), true) = true.
% 5.82/0.96 Axiom 7 (rule_181): ifeq(p1(X, X, X), true, q2(X, X, X), true) = true.
% 5.82/0.96 Axiom 8 (rule_189): ifeq(q2(b, X, b), true, ifeq(s1(b), true, s2(X), true), true) = true.
% 5.82/0.96 Axiom 9 (rule_177): ifeq(p1(X, X, X), true, ifeq(k0(Y), true, q2(X, Y, Y), true), true) = true.
% 5.82/0.96 Axiom 10 (rule_273): ifeq(s2(X), true, ifeq(q2(Y, X, Y), true, ifeq(m0(Y, Z, W), true, s3(X, W), true), true), true) = true.
% 5.82/0.96
% 5.82/0.96 Goal 1 (prove_this): s3(b, b) = true.
% 5.82/0.96 Proof:
% 5.82/0.96 s3(b, b)
% 5.82/0.96 = { by axiom 4 (ifeq_axiom) R->L }
% 5.82/0.96 ifeq(true, true, s3(b, b), true)
% 5.82/0.96 = { by axiom 3 (axiom_19) R->L }
% 5.82/0.96 ifeq(m0(b, d, b), true, s3(b, b), true)
% 5.82/0.96 = { by axiom 4 (ifeq_axiom) R->L }
% 5.82/0.96 ifeq(true, true, ifeq(m0(b, d, b), true, s3(b, b), true), true)
% 5.82/0.96 = { by axiom 4 (ifeq_axiom) R->L }
% 5.82/0.96 ifeq(true, true, ifeq(true, true, ifeq(m0(b, d, b), true, s3(b, b), true), true), true)
% 5.82/0.96 = { by axiom 8 (rule_189) R->L }
% 5.82/0.96 ifeq(ifeq(q2(b, b, b), true, ifeq(s1(b), true, s2(b), true), true), true, ifeq(true, true, ifeq(m0(b, d, b), true, s3(b, b), true), true), true)
% 5.82/0.96 = { by axiom 4 (ifeq_axiom) R->L }
% 5.82/0.96 ifeq(ifeq(ifeq(true, true, q2(b, b, b), true), true, ifeq(s1(b), true, s2(b), true), true), true, ifeq(true, true, ifeq(m0(b, d, b), true, s3(b, b), true), true), true)
% 5.82/0.96 = { by axiom 6 (rule_085) R->L }
% 5.82/0.96 ifeq(ifeq(ifeq(ifeq(p0(b, b), true, p1(b, b, b), true), true, q2(b, b, b), true), true, ifeq(s1(b), true, s2(b), true), true), true, ifeq(true, true, ifeq(m0(b, d, b), true, s3(b, b), true), true), true)
% 5.82/0.96 = { by axiom 2 (axiom_14) }
% 5.82/0.96 ifeq(ifeq(ifeq(ifeq(true, true, p1(b, b, b), true), true, q2(b, b, b), true), true, ifeq(s1(b), true, s2(b), true), true), true, ifeq(true, true, ifeq(m0(b, d, b), true, s3(b, b), true), true), true)
% 5.82/0.96 = { by axiom 4 (ifeq_axiom) }
% 5.82/0.96 ifeq(ifeq(ifeq(p1(b, b, b), true, q2(b, b, b), true), true, ifeq(s1(b), true, s2(b), true), true), true, ifeq(true, true, ifeq(m0(b, d, b), true, s3(b, b), true), true), true)
% 5.82/0.96 = { by axiom 7 (rule_181) }
% 5.82/0.96 ifeq(ifeq(true, true, ifeq(s1(b), true, s2(b), true), true), true, ifeq(true, true, ifeq(m0(b, d, b), true, s3(b, b), true), true), true)
% 5.82/0.96 = { by axiom 4 (ifeq_axiom) }
% 5.82/0.96 ifeq(ifeq(s1(b), true, s2(b), true), true, ifeq(true, true, ifeq(m0(b, d, b), true, s3(b, b), true), true), true)
% 5.82/0.96 = { by axiom 4 (ifeq_axiom) R->L }
% 5.82/0.96 ifeq(ifeq(ifeq(true, true, s1(b), true), true, s2(b), true), true, ifeq(true, true, ifeq(m0(b, d, b), true, s3(b, b), true), true), true)
% 5.82/0.96 = { by axiom 2 (axiom_14) R->L }
% 5.82/0.96 ifeq(ifeq(ifeq(p0(b, b), true, s1(b), true), true, s2(b), true), true, ifeq(true, true, ifeq(m0(b, d, b), true, s3(b, b), true), true), true)
% 5.82/0.96 = { by axiom 5 (rule_125) }
% 5.82/0.96 ifeq(ifeq(true, true, s2(b), true), true, ifeq(true, true, ifeq(m0(b, d, b), true, s3(b, b), true), true), true)
% 5.82/0.96 = { by axiom 4 (ifeq_axiom) }
% 5.82/0.96 ifeq(s2(b), true, ifeq(true, true, ifeq(m0(b, d, b), true, s3(b, b), true), true), true)
% 5.82/0.96 = { by axiom 9 (rule_177) R->L }
% 5.82/0.96 ifeq(s2(b), true, ifeq(ifeq(p1(b, b, b), true, ifeq(k0(b), true, q2(b, b, b), true), true), true, ifeq(m0(b, d, b), true, s3(b, b), true), true), true)
% 5.82/0.96 = { by axiom 1 (axiom_32) }
% 5.82/0.96 ifeq(s2(b), true, ifeq(ifeq(p1(b, b, b), true, ifeq(true, true, q2(b, b, b), true), true), true, ifeq(m0(b, d, b), true, s3(b, b), true), true), true)
% 5.82/0.96 = { by axiom 4 (ifeq_axiom) R->L }
% 5.82/0.96 ifeq(s2(b), true, ifeq(ifeq(ifeq(true, true, p1(b, b, b), true), true, ifeq(true, true, q2(b, b, b), true), true), true, ifeq(m0(b, d, b), true, s3(b, b), true), true), true)
% 5.82/0.96 = { by axiom 2 (axiom_14) R->L }
% 5.82/0.96 ifeq(s2(b), true, ifeq(ifeq(ifeq(p0(b, b), true, p1(b, b, b), true), true, ifeq(true, true, q2(b, b, b), true), true), true, ifeq(m0(b, d, b), true, s3(b, b), true), true), true)
% 5.82/0.96 = { by axiom 6 (rule_085) }
% 5.82/0.96 ifeq(s2(b), true, ifeq(ifeq(true, true, ifeq(true, true, q2(b, b, b), true), true), true, ifeq(m0(b, d, b), true, s3(b, b), true), true), true)
% 5.82/0.96 = { by axiom 4 (ifeq_axiom) }
% 5.82/0.96 ifeq(s2(b), true, ifeq(ifeq(true, true, q2(b, b, b), true), true, ifeq(m0(b, d, b), true, s3(b, b), true), true), true)
% 5.82/0.96 = { by axiom 4 (ifeq_axiom) }
% 5.82/0.96 ifeq(s2(b), true, ifeq(q2(b, b, b), true, ifeq(m0(b, d, b), true, s3(b, b), true), true), true)
% 5.82/0.96 = { by axiom 10 (rule_273) }
% 5.82/0.96 true
% 5.82/0.96 % SZS output end Proof
% 5.82/0.96
% 5.82/0.96 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------