%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN193-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.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 01:47:17 PM UTC 2026
% Result : Unsatisfiable 8.97s 1.45s
% Output : Proof 8.97s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN193-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.20 % Computer : n008.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 15:38:39 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.97/1.45 Command-line arguments: --lhs-weight 9 --flip-ordering --complete-subsets --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 8.97/1.45
% 8.97/1.45 % SZS status Unsatisfiable
% 8.97/1.45
% 8.97/1.45 % SZS output start Proof
% 8.97/1.45 Axiom 1 (axiom_9): r0(b) = true.
% 8.97/1.45 Axiom 2 (axiom_18): p0(c, b) = true.
% 8.97/1.45 Axiom 3 (axiom_30): n0(e, e) = true.
% 8.97/1.45 Axiom 4 (axiom_19): m0(X, d, Y) = true.
% 8.97/1.45 Axiom 5 (axiom_27): m0(e, b, c) = true.
% 8.97/1.45 Axiom 6 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 8.97/1.45 Axiom 7 (rule_240): ifeq(p2(X, Y, Z), true, n3(Z), true) = true.
% 8.97/1.45 Axiom 8 (rule_186): ifeq(l1(X, Y), true, q2(Y, Y, X), true) = true.
% 8.97/1.45 Axiom 9 (rule_006): ifeq(m0(X, X, Y), true, m1(Y, Y, Y), true) = true.
% 8.97/1.45 Axiom 10 (rule_150): ifeq(m1(X, X, Y), true, p2(Y, Y, Y), true) = true.
% 8.97/1.45 Axiom 11 (rule_255): ifeq(q2(X, Y, Z), true, ifeq(n0(X, Y), true, q3(Y, Z), true), true) = true.
% 8.97/1.45 Axiom 12 (rule_298): ifeq(q3(X, Y), true, ifeq(n3(Z), true, ifeq(p0(W, Z), true, r4(Z), true), true), true) = true.
% 8.97/1.45 Axiom 13 (rule_003): ifeq(p0(X, Y), true, ifeq(r0(Z), true, ifeq(m0(W, Y, X), true, l1(Y, W), true), true), true) = true.
% 8.97/1.45
% 8.97/1.45 Goal 1 (prove_this): r4(b) = true.
% 8.97/1.45 Proof:
% 8.97/1.45 r4(b)
% 8.97/1.45 = { by axiom 6 (ifeq_axiom) R->L }
% 8.97/1.45 ifeq(true, true, r4(b), true)
% 8.97/1.45 = { by axiom 2 (axiom_18) R->L }
% 8.97/1.45 ifeq(p0(c, b), true, r4(b), true)
% 8.97/1.45 = { by axiom 6 (ifeq_axiom) R->L }
% 8.97/1.45 ifeq(true, true, ifeq(p0(c, b), true, r4(b), true), true)
% 8.97/1.45 = { by axiom 7 (rule_240) R->L }
% 8.97/1.45 ifeq(ifeq(p2(b, b, b), true, n3(b), true), true, ifeq(p0(c, b), true, r4(b), true), true)
% 8.97/1.45 = { by axiom 6 (ifeq_axiom) R->L }
% 8.97/1.45 ifeq(ifeq(ifeq(true, true, p2(b, b, b), true), true, n3(b), true), true, ifeq(p0(c, b), true, r4(b), true), true)
% 8.97/1.45 = { by axiom 9 (rule_006) R->L }
% 8.97/1.45 ifeq(ifeq(ifeq(ifeq(m0(d, d, b), true, m1(b, b, b), true), true, p2(b, b, b), true), true, n3(b), true), true, ifeq(p0(c, b), true, r4(b), true), true)
% 8.97/1.45 = { by axiom 4 (axiom_19) }
% 8.97/1.45 ifeq(ifeq(ifeq(ifeq(true, true, m1(b, b, b), true), true, p2(b, b, b), true), true, n3(b), true), true, ifeq(p0(c, b), true, r4(b), true), true)
% 8.97/1.45 = { by axiom 6 (ifeq_axiom) }
% 8.97/1.45 ifeq(ifeq(ifeq(m1(b, b, b), true, p2(b, b, b), true), true, n3(b), true), true, ifeq(p0(c, b), true, r4(b), true), true)
% 8.97/1.45 = { by axiom 10 (rule_150) }
% 8.97/1.45 ifeq(ifeq(true, true, n3(b), true), true, ifeq(p0(c, b), true, r4(b), true), true)
% 8.97/1.45 = { by axiom 6 (ifeq_axiom) }
% 8.97/1.45 ifeq(n3(b), true, ifeq(p0(c, b), true, r4(b), true), true)
% 8.97/1.47 = { by axiom 6 (ifeq_axiom) R->L }
% 8.97/1.47 ifeq(true, true, ifeq(n3(b), true, ifeq(p0(c, b), true, r4(b), true), true), true)
% 8.97/1.47 = { by axiom 11 (rule_255) R->L }
% 8.97/1.47 ifeq(ifeq(q2(e, e, b), true, ifeq(n0(e, e), true, q3(e, b), true), true), true, ifeq(n3(b), true, ifeq(p0(c, b), true, r4(b), true), true), true)
% 8.97/1.47 = { by axiom 6 (ifeq_axiom) R->L }
% 8.97/1.47 ifeq(ifeq(ifeq(true, true, q2(e, e, b), true), true, ifeq(n0(e, e), true, q3(e, b), true), true), true, ifeq(n3(b), true, ifeq(p0(c, b), true, r4(b), true), true), true)
% 8.97/1.47 = { by axiom 13 (rule_003) R->L }
% 8.97/1.47 ifeq(ifeq(ifeq(ifeq(p0(c, b), true, ifeq(r0(b), true, ifeq(m0(e, b, c), true, l1(b, e), true), true), true), true, q2(e, e, b), true), true, ifeq(n0(e, e), true, q3(e, b), true), true), true, ifeq(n3(b), true, ifeq(p0(c, b), true, r4(b), true), true), true)
% 8.97/1.47 = { by axiom 5 (axiom_27) }
% 8.97/1.47 ifeq(ifeq(ifeq(ifeq(p0(c, b), true, ifeq(r0(b), true, ifeq(true, true, l1(b, e), true), true), true), true, q2(e, e, b), true), true, ifeq(n0(e, e), true, q3(e, b), true), true), true, ifeq(n3(b), true, ifeq(p0(c, b), true, r4(b), true), true), true)
% 8.97/1.47 = { by axiom 2 (axiom_18) }
% 8.97/1.47 ifeq(ifeq(ifeq(ifeq(true, true, ifeq(r0(b), true, ifeq(true, true, l1(b, e), true), true), true), true, q2(e, e, b), true), true, ifeq(n0(e, e), true, q3(e, b), true), true), true, ifeq(n3(b), true, ifeq(p0(c, b), true, r4(b), true), true), true)
% 8.97/1.47 = { by axiom 6 (ifeq_axiom) }
% 8.97/1.47 ifeq(ifeq(ifeq(ifeq(r0(b), true, ifeq(true, true, l1(b, e), true), true), true, q2(e, e, b), true), true, ifeq(n0(e, e), true, q3(e, b), true), true), true, ifeq(n3(b), true, ifeq(p0(c, b), true, r4(b), true), true), true)
% 8.97/1.47 = { by axiom 6 (ifeq_axiom) }
% 8.97/1.47 ifeq(ifeq(ifeq(ifeq(r0(b), true, l1(b, e), true), true, q2(e, e, b), true), true, ifeq(n0(e, e), true, q3(e, b), true), true), true, ifeq(n3(b), true, ifeq(p0(c, b), true, r4(b), true), true), true)
% 8.97/1.47 = { by axiom 1 (axiom_9) }
% 8.97/1.47 ifeq(ifeq(ifeq(ifeq(true, true, l1(b, e), true), true, q2(e, e, b), true), true, ifeq(n0(e, e), true, q3(e, b), true), true), true, ifeq(n3(b), true, ifeq(p0(c, b), true, r4(b), true), true), true)
% 8.97/1.47 = { by axiom 6 (ifeq_axiom) }
% 8.97/1.47 ifeq(ifeq(ifeq(l1(b, e), true, q2(e, e, b), true), true, ifeq(n0(e, e), true, q3(e, b), true), true), true, ifeq(n3(b), true, ifeq(p0(c, b), true, r4(b), true), true), true)
% 8.97/1.47 = { by axiom 8 (rule_186) }
% 8.97/1.47 ifeq(ifeq(true, true, ifeq(n0(e, e), true, q3(e, b), true), true), true, ifeq(n3(b), true, ifeq(p0(c, b), true, r4(b), true), true), true)
% 8.97/1.47 = { by axiom 6 (ifeq_axiom) }
% 8.97/1.47 ifeq(ifeq(n0(e, e), true, q3(e, b), true), true, ifeq(n3(b), true, ifeq(p0(c, b), true, r4(b), true), true), true)
% 8.97/1.47 = { by axiom 3 (axiom_30) }
% 8.97/1.47 ifeq(ifeq(true, true, q3(e, b), true), true, ifeq(n3(b), true, ifeq(p0(c, b), true, r4(b), true), true), true)
% 8.97/1.47 = { by axiom 6 (ifeq_axiom) }
% 8.97/1.47 ifeq(q3(e, b), true, ifeq(n3(b), true, ifeq(p0(c, b), true, r4(b), true), true), true)
% 8.97/1.47 = { by axiom 12 (rule_298) }
% 8.97/1.47 true
% 8.97/1.47 % SZS output end Proof
% 8.97/1.47
% 8.97/1.47 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------