%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN181-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.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 01:47:15 PM UTC 2026
% Result : Unsatisfiable 13.28s 1.96s
% Output : Proof 13.28s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN181-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.03 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.15 % Computer : n015.cluster.edu
% 0.09/0.15 % Model : x86_64 x86_64
% 0.09/0.15 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.15 % Memory : 8046.5625MB
% 0.09/0.15 % OS : Linux 6.8.0-71-generic
% 0.09/0.15 % CPULimit : 300
% 0.09/0.15 % WCLimit : 300
% 0.09/0.15 % DateTime : Mon Sep 28 15:41:01 UTC 2026
% 0.09/0.16 % CPUTime :
% 0.09/0.16 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.28/1.96 Command-line arguments: --lhs-weight 9 --flip-ordering --complete-subsets --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 13.28/1.96
% 13.28/1.96 % SZS status Unsatisfiable
% 13.28/1.96
% 13.28/1.96 % SZS output start Proof
% 13.28/1.96 Axiom 1 (axiom_9): r0(b) = true.
% 13.28/1.96 Axiom 2 (axiom_14): p0(b, X) = true.
% 13.28/1.96 Axiom 3 (axiom_19): m0(X, d, Y) = true.
% 13.28/1.96 Axiom 4 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 13.28/1.96 Axiom 5 (rule_236): ifeq(n2(X), true, m3(X, X, X), true) = true.
% 13.28/1.96 Axiom 6 (rule_137): ifeq(p1(X, Y, Z), true, n2(Z), true) = true.
% 13.28/1.96 Axiom 7 (rule_085): ifeq(p0(X, Y), true, p1(Y, Y, Y), true) = true.
% 13.28/1.96 Axiom 8 (rule_186): ifeq(l1(X, Y), true, q2(Y, Y, X), true) = true.
% 13.28/1.96 Axiom 9 (rule_194): ifeq(k2(X, Y), true, k3(Y, Y, X), true) = true.
% 13.28/1.96 Axiom 10 (rule_129): ifeq(q1(X, Y, Y), true, k2(Y, Y), true) = true.
% 13.28/1.96 Axiom 11 (rule_107): ifeq(m0(e, d, X), true, ifeq(m0(X, d, X), true, q1(e, X, X), true), true) = true.
% 13.28/1.96 Axiom 12 (rule_003): ifeq(p0(X, Y), true, ifeq(r0(Z), true, ifeq(m0(W, Y, X), true, l1(Y, W), true), true), true) = true.
% 13.28/1.97 Axiom 13 (rule_295): ifeq(m3(X, Y, X), true, ifeq(k3(Z, Z, W), true, ifeq(q2(X, V, W), true, q4(W, V), true), true), true) = true.
% 13.28/1.97
% 13.28/1.97 Goal 1 (prove_this): q4(d, b) = true.
% 13.28/1.97 Proof:
% 13.28/1.97 q4(d, b)
% 13.28/1.97 = { by axiom 4 (ifeq_axiom) R->L }
% 13.28/1.97 ifeq(true, true, q4(d, b), true)
% 13.28/1.97 = { by axiom 8 (rule_186) R->L }
% 13.28/1.97 ifeq(ifeq(l1(d, b), true, q2(b, b, d), true), true, q4(d, b), true)
% 13.28/1.97 = { by axiom 4 (ifeq_axiom) R->L }
% 13.28/1.97 ifeq(ifeq(ifeq(true, true, l1(d, b), true), true, q2(b, b, d), true), true, q4(d, b), true)
% 13.28/1.97 = { by axiom 1 (axiom_9) R->L }
% 13.28/1.97 ifeq(ifeq(ifeq(r0(b), true, l1(d, b), true), true, q2(b, b, d), true), true, q4(d, b), true)
% 13.28/1.97 = { by axiom 4 (ifeq_axiom) R->L }
% 13.28/1.97 ifeq(ifeq(ifeq(true, true, ifeq(r0(b), true, l1(d, b), true), true), true, q2(b, b, d), true), true, q4(d, b), true)
% 13.28/1.97 = { by axiom 2 (axiom_14) R->L }
% 13.28/1.97 ifeq(ifeq(ifeq(p0(b, d), true, ifeq(r0(b), true, l1(d, b), true), true), true, q2(b, b, d), true), true, q4(d, b), true)
% 13.28/1.97 = { by axiom 4 (ifeq_axiom) R->L }
% 13.28/1.97 ifeq(ifeq(ifeq(p0(b, d), true, ifeq(r0(b), true, ifeq(true, true, l1(d, b), true), true), true), true, q2(b, b, d), true), true, q4(d, b), true)
% 13.28/1.97 = { by axiom 3 (axiom_19) R->L }
% 13.28/1.97 ifeq(ifeq(ifeq(p0(b, d), true, ifeq(r0(b), true, ifeq(m0(b, d, b), true, l1(d, b), true), true), true), true, q2(b, b, d), true), true, q4(d, b), true)
% 13.28/1.97 = { by axiom 12 (rule_003) }
% 13.28/1.97 ifeq(ifeq(true, true, q2(b, b, d), true), true, q4(d, b), true)
% 13.28/1.97 = { by axiom 4 (ifeq_axiom) }
% 13.28/1.97 ifeq(q2(b, b, d), true, q4(d, b), true)
% 13.28/1.97 = { by axiom 4 (ifeq_axiom) R->L }
% 13.28/1.97 ifeq(true, true, ifeq(q2(b, b, d), true, q4(d, b), true), true)
% 13.28/1.97 = { by axiom 5 (rule_236) R->L }
% 13.28/1.97 ifeq(ifeq(n2(b), true, m3(b, b, b), true), true, ifeq(q2(b, b, d), true, q4(d, b), true), true)
% 13.28/1.97 = { by axiom 4 (ifeq_axiom) R->L }
% 13.28/1.97 ifeq(ifeq(ifeq(true, true, n2(b), true), true, m3(b, b, b), true), true, ifeq(q2(b, b, d), true, q4(d, b), true), true)
% 13.28/1.97 = { by axiom 7 (rule_085) R->L }
% 13.28/1.97 ifeq(ifeq(ifeq(ifeq(p0(b, b), true, p1(b, b, b), true), true, n2(b), true), true, m3(b, b, b), true), true, ifeq(q2(b, b, d), true, q4(d, b), true), true)
% 13.28/1.97 = { by axiom 2 (axiom_14) }
% 13.28/1.97 ifeq(ifeq(ifeq(ifeq(true, true, p1(b, b, b), true), true, n2(b), true), true, m3(b, b, b), true), true, ifeq(q2(b, b, d), true, q4(d, b), true), true)
% 13.28/1.97 = { by axiom 4 (ifeq_axiom) }
% 13.28/1.97 ifeq(ifeq(ifeq(p1(b, b, b), true, n2(b), true), true, m3(b, b, b), true), true, ifeq(q2(b, b, d), true, q4(d, b), true), true)
% 13.28/1.97 = { by axiom 6 (rule_137) }
% 13.28/1.97 ifeq(ifeq(true, true, m3(b, b, b), true), true, ifeq(q2(b, b, d), true, q4(d, b), true), true)
% 13.28/1.97 = { by axiom 4 (ifeq_axiom) }
% 13.28/1.97 ifeq(m3(b, b, b), true, ifeq(q2(b, b, d), true, q4(d, b), true), true)
% 13.28/1.97 = { by axiom 4 (ifeq_axiom) R->L }
% 13.28/1.97 ifeq(m3(b, b, b), true, ifeq(true, true, ifeq(q2(b, b, d), true, q4(d, b), true), true), true)
% 13.28/1.97 = { by axiom 9 (rule_194) R->L }
% 13.28/1.97 ifeq(m3(b, b, b), true, ifeq(ifeq(k2(d, d), true, k3(d, d, d), true), true, ifeq(q2(b, b, d), true, q4(d, b), true), true), true)
% 13.28/1.97 = { by axiom 4 (ifeq_axiom) R->L }
% 13.28/1.97 ifeq(m3(b, b, b), true, ifeq(ifeq(ifeq(true, true, k2(d, d), true), true, k3(d, d, d), true), true, ifeq(q2(b, b, d), true, q4(d, b), true), true), true)
% 13.28/1.97 = { by axiom 11 (rule_107) R->L }
% 13.28/1.97 ifeq(m3(b, b, b), true, ifeq(ifeq(ifeq(ifeq(m0(e, d, d), true, ifeq(m0(d, d, d), true, q1(e, d, d), true), true), true, k2(d, d), true), true, k3(d, d, d), true), true, ifeq(q2(b, b, d), true, q4(d, b), true), true), true)
% 13.28/1.97 = { by axiom 3 (axiom_19) }
% 13.28/1.97 ifeq(m3(b, b, b), true, ifeq(ifeq(ifeq(ifeq(true, true, ifeq(m0(d, d, d), true, q1(e, d, d), true), true), true, k2(d, d), true), true, k3(d, d, d), true), true, ifeq(q2(b, b, d), true, q4(d, b), true), true), true)
% 13.28/1.97 = { by axiom 4 (ifeq_axiom) }
% 13.28/1.97 ifeq(m3(b, b, b), true, ifeq(ifeq(ifeq(ifeq(m0(d, d, d), true, q1(e, d, d), true), true, k2(d, d), true), true, k3(d, d, d), true), true, ifeq(q2(b, b, d), true, q4(d, b), true), true), true)
% 13.28/1.97 = { by axiom 3 (axiom_19) }
% 13.28/1.97 ifeq(m3(b, b, b), true, ifeq(ifeq(ifeq(ifeq(true, true, q1(e, d, d), true), true, k2(d, d), true), true, k3(d, d, d), true), true, ifeq(q2(b, b, d), true, q4(d, b), true), true), true)
% 13.28/1.97 = { by axiom 4 (ifeq_axiom) }
% 13.28/1.97 ifeq(m3(b, b, b), true, ifeq(ifeq(ifeq(q1(e, d, d), true, k2(d, d), true), true, k3(d, d, d), true), true, ifeq(q2(b, b, d), true, q4(d, b), true), true), true)
% 13.28/1.97 = { by axiom 10 (rule_129) }
% 13.28/1.97 ifeq(m3(b, b, b), true, ifeq(ifeq(true, true, k3(d, d, d), true), true, ifeq(q2(b, b, d), true, q4(d, b), true), true), true)
% 13.28/1.97 = { by axiom 4 (ifeq_axiom) }
% 13.28/1.97 ifeq(m3(b, b, b), true, ifeq(k3(d, d, d), true, ifeq(q2(b, b, d), true, q4(d, b), true), true), true)
% 13.28/1.97 = { by axiom 13 (rule_295) }
% 13.28/1.97 true
% 13.28/1.97 % SZS output end Proof
% 13.28/1.97
% 13.28/1.97 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------