%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN250-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.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 01:47:24 PM UTC 2026
% Result : Unsatisfiable 9.04s 1.44s
% Output : Proof 9.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN250-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.18 % Computer : n013.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 15:38:37 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.04/1.44 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
% 9.04/1.44
% 9.04/1.44 % SZS status Unsatisfiable
% 9.04/1.44
% 9.04/1.46 % SZS output start Proof
% 9.04/1.46 Axiom 1 (axiom_13): r0(e) = true.
% 9.04/1.46 Axiom 2 (axiom_5): s0(b) = true.
% 9.04/1.46 Axiom 3 (axiom_1): s0(d) = true.
% 9.04/1.46 Axiom 4 (axiom_20): l0(a) = true.
% 9.04/1.46 Axiom 5 (axiom_14): p0(b, X) = true.
% 9.04/1.46 Axiom 6 (axiom_21): q0(b, e) = true.
% 9.04/1.46 Axiom 7 (axiom_36): q0(a, b) = true.
% 9.04/1.46 Axiom 8 (axiom_12): m0(a, X, a) = true.
% 9.04/1.46 Axiom 9 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 9.04/1.46 Axiom 10 (rule_023): ifeq(l0(a), true, ifeq(s0(d), true, m1(a, a, a), true), true) = true.
% 9.04/1.46 Axiom 11 (rule_007): ifeq(p0(X, Y), true, ifeq(r0(Z), true, m1(Z, Y, Z), true), true) = true.
% 9.04/1.46 Axiom 12 (rule_029): ifeq(p0(X, Y), true, ifeq(s0(X), true, m1(X, Y, X), true), true) = true.
% 9.04/1.46 Axiom 13 (rule_016): ifeq(m1(X, Y, Z), true, ifeq(m1(X, Z, W), true, m1(W, Z, Z), true), true) = true.
% 9.04/1.46 Axiom 14 (rule_024): ifeq(m1(X, c, X), true, ifeq(m0(a, Y, a), true, ifeq(q0(Z, X), true, m1(Z, a, X), true), true), true) = true.
% 9.04/1.46
% 9.04/1.46 Goal 1 (prove_this): m1(e, a, a) = true.
% 9.04/1.46 Proof:
% 9.04/1.46 m1(e, a, a)
% 9.04/1.46 = { by axiom 9 (ifeq_axiom) R->L }
% 9.04/1.46 ifeq(true, true, m1(e, a, a), true)
% 9.04/1.46 = { by axiom 13 (rule_016) R->L }
% 9.04/1.46 ifeq(ifeq(m1(a, a, a), true, ifeq(m1(a, a, b), true, m1(b, a, a), true), true), true, m1(e, a, a), true)
% 9.04/1.46 = { by axiom 9 (ifeq_axiom) R->L }
% 9.04/1.46 ifeq(ifeq(ifeq(true, true, m1(a, a, a), true), true, ifeq(m1(a, a, b), true, m1(b, a, a), true), true), true, m1(e, a, a), true)
% 9.04/1.46 = { by axiom 3 (axiom_1) R->L }
% 9.04/1.46 ifeq(ifeq(ifeq(s0(d), true, m1(a, a, a), true), true, ifeq(m1(a, a, b), true, m1(b, a, a), true), true), true, m1(e, a, a), true)
% 9.04/1.46 = { by axiom 9 (ifeq_axiom) R->L }
% 9.04/1.46 ifeq(ifeq(ifeq(true, true, ifeq(s0(d), true, m1(a, a, a), true), true), true, ifeq(m1(a, a, b), true, m1(b, a, a), true), true), true, m1(e, a, a), true)
% 9.04/1.46 = { by axiom 4 (axiom_20) R->L }
% 9.04/1.46 ifeq(ifeq(ifeq(l0(a), true, ifeq(s0(d), true, m1(a, a, a), true), true), true, ifeq(m1(a, a, b), true, m1(b, a, a), true), true), true, m1(e, a, a), true)
% 9.04/1.46 = { by axiom 10 (rule_023) }
% 9.04/1.46 ifeq(ifeq(true, true, ifeq(m1(a, a, b), true, m1(b, a, a), true), true), true, m1(e, a, a), true)
% 9.04/1.46 = { by axiom 9 (ifeq_axiom) }
% 9.04/1.46 ifeq(ifeq(m1(a, a, b), true, m1(b, a, a), true), true, m1(e, a, a), true)
% 9.04/1.46 = { by axiom 9 (ifeq_axiom) R->L }
% 9.04/1.46 ifeq(ifeq(ifeq(true, true, m1(a, a, b), true), true, m1(b, a, a), true), true, m1(e, a, a), true)
% 9.04/1.46 = { by axiom 9 (ifeq_axiom) R->L }
% 9.04/1.46 ifeq(ifeq(ifeq(true, true, ifeq(true, true, m1(a, a, b), true), true), true, m1(b, a, a), true), true, m1(e, a, a), true)
% 9.04/1.46 = { by axiom 12 (rule_029) R->L }
% 9.04/1.46 ifeq(ifeq(ifeq(ifeq(p0(b, c), true, ifeq(s0(b), true, m1(b, c, b), true), true), true, ifeq(true, true, m1(a, a, b), true), true), true, m1(b, a, a), true), true, m1(e, a, a), true)
% 9.04/1.46 = { by axiom 2 (axiom_5) }
% 9.04/1.46 ifeq(ifeq(ifeq(ifeq(p0(b, c), true, ifeq(true, true, m1(b, c, b), true), true), true, ifeq(true, true, m1(a, a, b), true), true), true, m1(b, a, a), true), true, m1(e, a, a), true)
% 9.04/1.46 = { by axiom 5 (axiom_14) }
% 9.04/1.46 ifeq(ifeq(ifeq(ifeq(true, true, ifeq(true, true, m1(b, c, b), true), true), true, ifeq(true, true, m1(a, a, b), true), true), true, m1(b, a, a), true), true, m1(e, a, a), true)
% 9.04/1.46 = { by axiom 9 (ifeq_axiom) }
% 9.04/1.46 ifeq(ifeq(ifeq(ifeq(true, true, m1(b, c, b), true), true, ifeq(true, true, m1(a, a, b), true), true), true, m1(b, a, a), true), true, m1(e, a, a), true)
% 9.04/1.46 = { by axiom 9 (ifeq_axiom) }
% 9.04/1.46 ifeq(ifeq(ifeq(m1(b, c, b), true, ifeq(true, true, m1(a, a, b), true), true), true, m1(b, a, a), true), true, m1(e, a, a), true)
% 9.04/1.46 = { by axiom 7 (axiom_36) R->L }
% 9.04/1.46 ifeq(ifeq(ifeq(m1(b, c, b), true, ifeq(q0(a, b), true, m1(a, a, b), true), true), true, m1(b, a, a), true), true, m1(e, a, a), true)
% 9.04/1.46 = { by axiom 9 (ifeq_axiom) R->L }
% 9.04/1.46 ifeq(ifeq(ifeq(m1(b, c, b), true, ifeq(true, true, ifeq(q0(a, b), true, m1(a, a, b), true), true), true), true, m1(b, a, a), true), true, m1(e, a, a), true)
% 9.04/1.46 = { by axiom 8 (axiom_12) R->L }
% 9.04/1.46 ifeq(ifeq(ifeq(m1(b, c, b), true, ifeq(m0(a, X, a), true, ifeq(q0(a, b), true, m1(a, a, b), true), true), true), true, m1(b, a, a), true), true, m1(e, a, a), true)
% 9.04/1.46 = { by axiom 14 (rule_024) }
% 9.04/1.46 ifeq(ifeq(true, true, m1(b, a, a), true), true, m1(e, a, a), true)
% 9.04/1.46 = { by axiom 9 (ifeq_axiom) }
% 9.04/1.46 ifeq(m1(b, a, a), true, m1(e, a, a), true)
% 9.04/1.46 = { by axiom 9 (ifeq_axiom) R->L }
% 9.04/1.46 ifeq(m1(b, a, a), true, ifeq(true, true, m1(e, a, a), true), true)
% 9.04/1.46 = { by axiom 14 (rule_024) R->L }
% 9.04/1.46 ifeq(m1(b, a, a), true, ifeq(ifeq(m1(e, c, e), true, ifeq(m0(a, Y, a), true, ifeq(q0(b, e), true, m1(b, a, e), true), true), true), true, m1(e, a, a), true), true)
% 9.04/1.46 = { by axiom 8 (axiom_12) }
% 9.04/1.46 ifeq(m1(b, a, a), true, ifeq(ifeq(m1(e, c, e), true, ifeq(true, true, ifeq(q0(b, e), true, m1(b, a, e), true), true), true), true, m1(e, a, a), true), true)
% 9.04/1.46 = { by axiom 9 (ifeq_axiom) }
% 9.04/1.46 ifeq(m1(b, a, a), true, ifeq(ifeq(m1(e, c, e), true, ifeq(q0(b, e), true, m1(b, a, e), true), true), true, m1(e, a, a), true), true)
% 9.04/1.46 = { by axiom 6 (axiom_21) }
% 9.04/1.46 ifeq(m1(b, a, a), true, ifeq(ifeq(m1(e, c, e), true, ifeq(true, true, m1(b, a, e), true), true), true, m1(e, a, a), true), true)
% 9.04/1.46 = { by axiom 9 (ifeq_axiom) R->L }
% 9.04/1.46 ifeq(m1(b, a, a), true, ifeq(ifeq(ifeq(true, true, m1(e, c, e), true), true, ifeq(true, true, m1(b, a, e), true), true), true, m1(e, a, a), true), true)
% 9.04/1.46 = { by axiom 1 (axiom_13) R->L }
% 9.04/1.46 ifeq(m1(b, a, a), true, ifeq(ifeq(ifeq(r0(e), true, m1(e, c, e), true), true, ifeq(true, true, m1(b, a, e), true), true), true, m1(e, a, a), true), true)
% 9.04/1.46 = { by axiom 9 (ifeq_axiom) R->L }
% 9.04/1.46 ifeq(m1(b, a, a), true, ifeq(ifeq(ifeq(true, true, ifeq(r0(e), true, m1(e, c, e), true), true), true, ifeq(true, true, m1(b, a, e), true), true), true, m1(e, a, a), true), true)
% 9.04/1.46 = { by axiom 5 (axiom_14) R->L }
% 9.04/1.46 ifeq(m1(b, a, a), true, ifeq(ifeq(ifeq(p0(b, c), true, ifeq(r0(e), true, m1(e, c, e), true), true), true, ifeq(true, true, m1(b, a, e), true), true), true, m1(e, a, a), true), true)
% 9.04/1.46 = { by axiom 11 (rule_007) }
% 9.04/1.46 ifeq(m1(b, a, a), true, ifeq(ifeq(true, true, ifeq(true, true, m1(b, a, e), true), true), true, m1(e, a, a), true), true)
% 9.04/1.46 = { by axiom 9 (ifeq_axiom) }
% 9.04/1.46 ifeq(m1(b, a, a), true, ifeq(ifeq(true, true, m1(b, a, e), true), true, m1(e, a, a), true), true)
% 9.04/1.46 = { by axiom 9 (ifeq_axiom) }
% 9.04/1.46 ifeq(m1(b, a, a), true, ifeq(m1(b, a, e), true, m1(e, a, a), true), true)
% 9.04/1.46 = { by axiom 13 (rule_016) }
% 9.04/1.46 true
% 9.04/1.46 % SZS output end Proof
% 9.04/1.46
% 9.04/1.46 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------