%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN208-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 7.12s 1.18s
% Output : Proof 7.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN208-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.18 % Computer : n020.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 15:39:19 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.12/1.18 Command-line arguments: --no-flatten-goal
% 7.12/1.18
% 7.12/1.18 % SZS status Unsatisfiable
% 7.12/1.18
% 7.12/1.19 % SZS output start Proof
% 7.12/1.19 Axiom 1 (axiom_13): r0(e) = true.
% 7.12/1.19 Axiom 2 (axiom_28): k0(e) = true.
% 7.12/1.19 Axiom 3 (axiom_1): s0(d) = true.
% 7.12/1.19 Axiom 4 (axiom_34): n0(c, d) = true.
% 7.12/1.19 Axiom 5 (axiom_17): q0(X, d) = true.
% 7.12/1.19 Axiom 6 (axiom_14): p0(b, X) = true.
% 7.12/1.19 Axiom 7 (axiom_19): m0(X, d, Y) = true.
% 7.12/1.19 Axiom 8 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 7.12/1.19 Axiom 9 (rule_001): ifeq(n0(X, Y), true, k1(Y), true) = true.
% 7.12/1.19 Axiom 10 (rule_125): ifeq(p0(X, X), true, s1(X), true) = true.
% 7.12/1.19 Axiom 11 (rule_085): ifeq(p0(X, Y), true, p1(Y, Y, Y), true) = true.
% 7.12/1.19 Axiom 12 (rule_190): ifeq(s1(a), true, ifeq(s0(d), true, s2(d), true), true) = true.
% 7.12/1.19 Axiom 13 (rule_126): ifeq(s1(X), true, ifeq(q0(Y, Z), true, s1(Y), true), true) = true.
% 7.12/1.19 Axiom 14 (rule_090): ifeq(k0(e), true, ifeq(r0(e), true, p1(e, e, e), true), true) = true.
% 7.12/1.19 Axiom 15 (rule_040): ifeq(k1(X), true, ifeq(m0(X, Y, e), true, n1(X, e, e), true), true) = true.
% 7.12/1.19 Axiom 16 (rule_177): ifeq(p1(X, X, X), true, ifeq(k0(Y), true, q2(X, Y, Y), true), true) = true.
% 7.12/1.19 Axiom 17 (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.
% 7.12/1.19 Axiom 18 (rule_182): ifeq(q2(X, Y, Z), true, ifeq(p1(Z, Z, Y), true, ifeq(n1(X, Z, Y), true, q2(Z, X, Z), true), true), true) = true.
% 7.12/1.19
% 7.12/1.19 Goal 1 (prove_this): s3(d, b) = true.
% 7.12/1.19 Proof:
% 7.12/1.19 s3(d, b)
% 7.12/1.19 = { by axiom 8 (ifeq_axiom) R->L }
% 7.12/1.19 ifeq(true, true, s3(d, b), true)
% 7.12/1.19 = { by axiom 7 (axiom_19) R->L }
% 7.12/1.19 ifeq(m0(e, d, b), true, s3(d, b), true)
% 7.12/1.19 = { by axiom 8 (ifeq_axiom) R->L }
% 7.12/1.19 ifeq(true, true, ifeq(m0(e, d, b), true, s3(d, b), true), true)
% 7.12/1.19 = { by axiom 8 (ifeq_axiom) R->L }
% 7.12/1.19 ifeq(true, true, ifeq(true, true, ifeq(m0(e, d, b), true, s3(d, b), true), true), true)
% 7.12/1.19 = { by axiom 12 (rule_190) R->L }
% 7.12/1.19 ifeq(ifeq(s1(a), true, ifeq(s0(d), true, s2(d), true), true), true, ifeq(true, true, ifeq(m0(e, d, b), true, s3(d, b), true), true), true)
% 7.12/1.19 = { by axiom 3 (axiom_1) }
% 7.12/1.19 ifeq(ifeq(s1(a), true, ifeq(true, true, s2(d), true), true), true, ifeq(true, true, ifeq(m0(e, d, b), true, s3(d, b), true), true), true)
% 7.12/1.19 = { by axiom 8 (ifeq_axiom) }
% 7.12/1.19 ifeq(ifeq(s1(a), true, s2(d), true), true, ifeq(true, true, ifeq(m0(e, d, b), true, s3(d, b), true), true), true)
% 7.12/1.19 = { by axiom 8 (ifeq_axiom) R->L }
% 7.12/1.19 ifeq(ifeq(ifeq(true, true, s1(a), true), true, s2(d), true), true, ifeq(true, true, ifeq(m0(e, d, b), true, s3(d, b), true), true), true)
% 7.12/1.19 = { by axiom 10 (rule_125) R->L }
% 7.12/1.19 ifeq(ifeq(ifeq(ifeq(p0(b, b), true, s1(b), true), true, s1(a), true), true, s2(d), true), true, ifeq(true, true, ifeq(m0(e, d, b), true, s3(d, b), true), true), true)
% 7.12/1.19 = { by axiom 6 (axiom_14) }
% 7.12/1.19 ifeq(ifeq(ifeq(ifeq(true, true, s1(b), true), true, s1(a), true), true, s2(d), true), true, ifeq(true, true, ifeq(m0(e, d, b), true, s3(d, b), true), true), true)
% 7.12/1.19 = { by axiom 8 (ifeq_axiom) }
% 7.12/1.19 ifeq(ifeq(ifeq(s1(b), true, s1(a), true), true, s2(d), true), true, ifeq(true, true, ifeq(m0(e, d, b), true, s3(d, b), true), true), true)
% 7.12/1.19 = { by axiom 8 (ifeq_axiom) R->L }
% 7.12/1.19 ifeq(ifeq(ifeq(s1(b), true, ifeq(true, true, s1(a), true), true), true, s2(d), true), true, ifeq(true, true, ifeq(m0(e, d, b), true, s3(d, b), true), true), true)
% 7.12/1.19 = { by axiom 5 (axiom_17) R->L }
% 7.12/1.19 ifeq(ifeq(ifeq(s1(b), true, ifeq(q0(a, d), true, s1(a), true), true), true, s2(d), true), true, ifeq(true, true, ifeq(m0(e, d, b), true, s3(d, b), true), true), true)
% 7.12/1.19 = { by axiom 13 (rule_126) }
% 7.12/1.19 ifeq(ifeq(true, true, s2(d), true), true, ifeq(true, true, ifeq(m0(e, d, b), true, s3(d, b), true), true), true)
% 7.12/1.19 = { by axiom 8 (ifeq_axiom) }
% 7.12/1.19 ifeq(s2(d), true, ifeq(true, true, ifeq(m0(e, d, b), true, s3(d, b), true), true), true)
% 7.12/1.19 = { by axiom 18 (rule_182) R->L }
% 7.12/1.19 ifeq(s2(d), true, ifeq(ifeq(q2(d, e, e), true, ifeq(p1(e, e, e), true, ifeq(n1(d, e, e), true, q2(e, d, e), true), true), true), true, ifeq(m0(e, d, b), true, s3(d, b), true), true), true)
% 7.12/1.19 = { by axiom 8 (ifeq_axiom) R->L }
% 7.12/1.19 ifeq(s2(d), true, ifeq(ifeq(q2(d, e, e), true, ifeq(p1(e, e, e), true, ifeq(ifeq(true, true, n1(d, e, e), true), true, q2(e, d, e), true), true), true), true, ifeq(m0(e, d, b), true, s3(d, b), true), true), true)
% 7.12/1.19 = { by axiom 9 (rule_001) R->L }
% 7.12/1.19 ifeq(s2(d), true, ifeq(ifeq(q2(d, e, e), true, ifeq(p1(e, e, e), true, ifeq(ifeq(ifeq(n0(c, d), true, k1(d), true), true, n1(d, e, e), true), true, q2(e, d, e), true), true), true), true, ifeq(m0(e, d, b), true, s3(d, b), true), true), true)
% 7.12/1.19 = { by axiom 4 (axiom_34) }
% 7.12/1.19 ifeq(s2(d), true, ifeq(ifeq(q2(d, e, e), true, ifeq(p1(e, e, e), true, ifeq(ifeq(ifeq(true, true, k1(d), true), true, n1(d, e, e), true), true, q2(e, d, e), true), true), true), true, ifeq(m0(e, d, b), true, s3(d, b), true), true), true)
% 7.12/1.19 = { by axiom 8 (ifeq_axiom) }
% 7.12/1.19 ifeq(s2(d), true, ifeq(ifeq(q2(d, e, e), true, ifeq(p1(e, e, e), true, ifeq(ifeq(k1(d), true, n1(d, e, e), true), true, q2(e, d, e), true), true), true), true, ifeq(m0(e, d, b), true, s3(d, b), true), true), true)
% 7.12/1.19 = { by axiom 8 (ifeq_axiom) R->L }
% 7.12/1.19 ifeq(s2(d), true, ifeq(ifeq(q2(d, e, e), true, ifeq(p1(e, e, e), true, ifeq(ifeq(k1(d), true, ifeq(true, true, n1(d, e, e), true), true), true, q2(e, d, e), true), true), true), true, ifeq(m0(e, d, b), true, s3(d, b), true), true), true)
% 7.12/1.19 = { by axiom 7 (axiom_19) R->L }
% 7.12/1.19 ifeq(s2(d), true, ifeq(ifeq(q2(d, e, e), true, ifeq(p1(e, e, e), true, ifeq(ifeq(k1(d), true, ifeq(m0(d, d, e), true, n1(d, e, e), true), true), true, q2(e, d, e), true), true), true), true, ifeq(m0(e, d, b), true, s3(d, b), true), true), true)
% 7.12/1.19 = { by axiom 15 (rule_040) }
% 7.12/1.19 ifeq(s2(d), true, ifeq(ifeq(q2(d, e, e), true, ifeq(p1(e, e, e), true, ifeq(true, true, q2(e, d, e), true), true), true), true, ifeq(m0(e, d, b), true, s3(d, b), true), true), true)
% 7.12/1.19 = { by axiom 8 (ifeq_axiom) R->L }
% 7.12/1.19 ifeq(s2(d), true, ifeq(ifeq(ifeq(true, true, q2(d, e, e), true), true, ifeq(p1(e, e, e), true, ifeq(true, true, q2(e, d, e), true), true), true), true, ifeq(m0(e, d, b), true, s3(d, b), true), true), true)
% 7.12/1.19 = { by axiom 2 (axiom_28) R->L }
% 7.12/1.19 ifeq(s2(d), true, ifeq(ifeq(ifeq(k0(e), true, q2(d, e, e), true), true, ifeq(p1(e, e, e), true, ifeq(true, true, q2(e, d, e), true), true), true), true, ifeq(m0(e, d, b), true, s3(d, b), true), true), true)
% 7.12/1.19 = { by axiom 8 (ifeq_axiom) R->L }
% 7.12/1.19 ifeq(s2(d), true, ifeq(ifeq(ifeq(true, true, ifeq(k0(e), true, q2(d, e, e), true), true), true, ifeq(p1(e, e, e), true, ifeq(true, true, q2(e, d, e), true), true), true), true, ifeq(m0(e, d, b), true, s3(d, b), true), true), true)
% 7.12/1.19 = { by axiom 11 (rule_085) R->L }
% 7.12/1.19 ifeq(s2(d), true, ifeq(ifeq(ifeq(ifeq(p0(b, d), true, p1(d, d, d), true), true, ifeq(k0(e), true, q2(d, e, e), true), true), true, ifeq(p1(e, e, e), true, ifeq(true, true, q2(e, d, e), true), true), true), true, ifeq(m0(e, d, b), true, s3(d, b), true), true), true)
% 7.12/1.19 = { by axiom 6 (axiom_14) }
% 7.12/1.19 ifeq(s2(d), true, ifeq(ifeq(ifeq(ifeq(true, true, p1(d, d, d), true), true, ifeq(k0(e), true, q2(d, e, e), true), true), true, ifeq(p1(e, e, e), true, ifeq(true, true, q2(e, d, e), true), true), true), true, ifeq(m0(e, d, b), true, s3(d, b), true), true), true)
% 7.12/1.19 = { by axiom 8 (ifeq_axiom) }
% 7.12/1.19 ifeq(s2(d), true, ifeq(ifeq(ifeq(p1(d, d, d), true, ifeq(k0(e), true, q2(d, e, e), true), true), true, ifeq(p1(e, e, e), true, ifeq(true, true, q2(e, d, e), true), true), true), true, ifeq(m0(e, d, b), true, s3(d, b), true), true), true)
% 7.12/1.19 = { by axiom 16 (rule_177) }
% 7.12/1.19 ifeq(s2(d), true, ifeq(ifeq(true, true, ifeq(p1(e, e, e), true, ifeq(true, true, q2(e, d, e), true), true), true), true, ifeq(m0(e, d, b), true, s3(d, b), true), true), true)
% 7.12/1.19 = { by axiom 8 (ifeq_axiom) }
% 7.12/1.19 ifeq(s2(d), true, ifeq(ifeq(p1(e, e, e), true, ifeq(true, true, q2(e, d, e), true), true), true, ifeq(m0(e, d, b), true, s3(d, b), true), true), true)
% 7.12/1.19 = { by axiom 8 (ifeq_axiom) R->L }
% 7.12/1.19 ifeq(s2(d), true, ifeq(ifeq(ifeq(true, true, p1(e, e, e), true), true, ifeq(true, true, q2(e, d, e), true), true), true, ifeq(m0(e, d, b), true, s3(d, b), true), true), true)
% 7.12/1.19 = { by axiom 1 (axiom_13) R->L }
% 7.12/1.19 ifeq(s2(d), true, ifeq(ifeq(ifeq(r0(e), true, p1(e, e, e), true), true, ifeq(true, true, q2(e, d, e), true), true), true, ifeq(m0(e, d, b), true, s3(d, b), true), true), true)
% 7.12/1.19 = { by axiom 8 (ifeq_axiom) R->L }
% 7.12/1.19 ifeq(s2(d), true, ifeq(ifeq(ifeq(true, true, ifeq(r0(e), true, p1(e, e, e), true), true), true, ifeq(true, true, q2(e, d, e), true), true), true, ifeq(m0(e, d, b), true, s3(d, b), true), true), true)
% 7.12/1.19 = { by axiom 2 (axiom_28) R->L }
% 7.12/1.20 ifeq(s2(d), true, ifeq(ifeq(ifeq(k0(e), true, ifeq(r0(e), true, p1(e, e, e), true), true), true, ifeq(true, true, q2(e, d, e), true), true), true, ifeq(m0(e, d, b), true, s3(d, b), true), true), true)
% 7.12/1.20 = { by axiom 14 (rule_090) }
% 7.12/1.20 ifeq(s2(d), true, ifeq(ifeq(true, true, ifeq(true, true, q2(e, d, e), true), true), true, ifeq(m0(e, d, b), true, s3(d, b), true), true), true)
% 7.12/1.20 = { by axiom 8 (ifeq_axiom) }
% 7.12/1.20 ifeq(s2(d), true, ifeq(ifeq(true, true, q2(e, d, e), true), true, ifeq(m0(e, d, b), true, s3(d, b), true), true), true)
% 7.12/1.20 = { by axiom 8 (ifeq_axiom) }
% 7.12/1.20 ifeq(s2(d), true, ifeq(q2(e, d, e), true, ifeq(m0(e, d, b), true, s3(d, b), true), true), true)
% 7.12/1.20 = { by axiom 17 (rule_273) }
% 7.12/1.20 true
% 7.12/1.20 % SZS output end Proof
% 7.12/1.20
% 7.12/1.20 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------