%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN166-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.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 01:47:13 PM UTC 2026
% Result : Unsatisfiable 7.60s 1.30s
% Output : Proof 8.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN166-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.15 % Computer : n019.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 15:37:33 UTC 2026
% 0.09/0.16 % CPUTime :
% 0.09/0.16 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.60/1.30 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
% 7.60/1.30
% 7.60/1.30 % SZS status Unsatisfiable
% 7.60/1.30
% 8.34/1.31 % SZS output start Proof
% 8.34/1.31 Axiom 1 (axiom_9): r0(b) = true.
% 8.34/1.31 Axiom 2 (axiom_20): l0(a) = true.
% 8.34/1.31 Axiom 3 (axiom_38): m0(b, a, a) = true.
% 8.34/1.31 Axiom 4 (axiom_12): m0(a, X, a) = true.
% 8.34/1.31 Axiom 5 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 8.34/1.31 Axiom 6 (rule_088): ifeq(l0(a), true, p1(a, a, a), true) = true.
% 8.34/1.31 Axiom 7 (rule_087): ifeq(p1(a, a, a), true, ifeq(r0(b), true, p1(a, b, a), true), true) = true.
% 8.34/1.31 Axiom 8 (rule_082): ifeq(p1(X, Y, Z), true, ifeq(m0(X, Y, Z), true, p1(Y, W, X), true), true) = true.
% 8.34/1.31
% 8.34/1.31 Goal 1 (prove_this): p1(a, b, b) = true.
% 8.34/1.31 Proof:
% 8.34/1.31 p1(a, b, b)
% 8.34/1.31 = { by axiom 5 (ifeq_axiom) R->L }
% 8.34/1.31 ifeq(true, true, p1(a, b, b), true)
% 8.34/1.31 = { by axiom 5 (ifeq_axiom) R->L }
% 8.34/1.31 ifeq(true, true, ifeq(true, true, p1(a, b, b), true), true)
% 8.34/1.31 = { by axiom 8 (rule_082) R->L }
% 8.34/1.31 ifeq(ifeq(p1(a, b, a), true, ifeq(m0(a, b, a), true, p1(b, a, a), true), true), true, ifeq(true, true, p1(a, b, b), true), true)
% 8.34/1.31 = { by axiom 5 (ifeq_axiom) R->L }
% 8.34/1.31 ifeq(ifeq(ifeq(true, true, p1(a, b, a), true), true, ifeq(m0(a, b, a), true, p1(b, a, a), true), true), true, ifeq(true, true, p1(a, b, b), true), true)
% 8.34/1.31 = { by axiom 1 (axiom_9) R->L }
% 8.34/1.31 ifeq(ifeq(ifeq(r0(b), true, p1(a, b, a), true), true, ifeq(m0(a, b, a), true, p1(b, a, a), true), true), true, ifeq(true, true, p1(a, b, b), true), true)
% 8.34/1.31 = { by axiom 5 (ifeq_axiom) R->L }
% 8.34/1.31 ifeq(ifeq(ifeq(true, true, ifeq(r0(b), true, p1(a, b, a), true), true), true, ifeq(m0(a, b, a), true, p1(b, a, a), true), true), true, ifeq(true, true, p1(a, b, b), true), true)
% 8.34/1.31 = { by axiom 6 (rule_088) R->L }
% 8.34/1.31 ifeq(ifeq(ifeq(ifeq(l0(a), true, p1(a, a, a), true), true, ifeq(r0(b), true, p1(a, b, a), true), true), true, ifeq(m0(a, b, a), true, p1(b, a, a), true), true), true, ifeq(true, true, p1(a, b, b), true), true)
% 8.34/1.31 = { by axiom 2 (axiom_20) }
% 8.34/1.31 ifeq(ifeq(ifeq(ifeq(true, true, p1(a, a, a), true), true, ifeq(r0(b), true, p1(a, b, a), true), true), true, ifeq(m0(a, b, a), true, p1(b, a, a), true), true), true, ifeq(true, true, p1(a, b, b), true), true)
% 8.34/1.31 = { by axiom 5 (ifeq_axiom) }
% 8.34/1.31 ifeq(ifeq(ifeq(p1(a, a, a), true, ifeq(r0(b), true, p1(a, b, a), true), true), true, ifeq(m0(a, b, a), true, p1(b, a, a), true), true), true, ifeq(true, true, p1(a, b, b), true), true)
% 8.34/1.31 = { by axiom 7 (rule_087) }
% 8.34/1.31 ifeq(ifeq(true, true, ifeq(m0(a, b, a), true, p1(b, a, a), true), true), true, ifeq(true, true, p1(a, b, b), true), true)
% 8.34/1.31 = { by axiom 5 (ifeq_axiom) }
% 8.34/1.31 ifeq(ifeq(m0(a, b, a), true, p1(b, a, a), true), true, ifeq(true, true, p1(a, b, b), true), true)
% 8.34/1.31 = { by axiom 4 (axiom_12) }
% 8.34/1.31 ifeq(ifeq(true, true, p1(b, a, a), true), true, ifeq(true, true, p1(a, b, b), true), true)
% 8.34/1.31 = { by axiom 5 (ifeq_axiom) }
% 8.34/1.31 ifeq(p1(b, a, a), true, ifeq(true, true, p1(a, b, b), true), true)
% 8.34/1.31 = { by axiom 3 (axiom_38) R->L }
% 8.34/1.31 ifeq(p1(b, a, a), true, ifeq(m0(b, a, a), true, p1(a, b, b), true), true)
% 8.34/1.31 = { by axiom 8 (rule_082) }
% 8.34/1.31 true
% 8.34/1.31 % SZS output end Proof
% 8.34/1.31
% 8.34/1.31 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------