%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN285-1 : 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 01:47:28 PM UTC 2026
% Result : Unsatisfiable 9.95s 1.54s
% Output : Proof 9.95s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN285-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.17 % Computer : n013.cluster.edu
% 0.12/0.17 % Model : x86_64 x86_64
% 0.12/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.17 % Memory : 8046.5625MB
% 0.12/0.17 % OS : Linux 6.8.0-71-generic
% 0.12/0.17 % CPULimit : 300
% 0.12/0.17 % WCLimit : 300
% 0.12/0.17 % DateTime : Mon Sep 28 15:40:06 UTC 2026
% 0.12/0.17 % CPUTime :
% 0.12/0.17 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.95/1.54 Command-line arguments: --lhs-weight 1 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10 --complete-subsets --ground-joining-incomplete-limit 15 --flatten-regeneralise
% 9.95/1.54
% 9.95/1.54 % SZS status Unsatisfiable
% 9.95/1.54
% 9.95/1.54 % SZS output start Proof
% 9.95/1.54 Axiom 1 (axiom_20): l0(a) = true.
% 9.95/1.54 Axiom 2 (axiom_32): k0(b) = true.
% 9.95/1.54 Axiom 3 (axiom_14): p0(b, X) = true.
% 9.95/1.54 Axiom 4 (axiom_17): q0(X, d) = true.
% 9.95/1.54 Axiom 5 (axiom_34): n0(c, d) = true.
% 9.95/1.54 Axiom 6 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 9.95/1.54 Axiom 7 (rule_001): ifeq(n0(X, Y), true, k1(Y), true) = true.
% 9.95/1.54 Axiom 8 (rule_109): ifeq(k1(X), true, ifeq(p0(Y, Y), true, ifeq(q0(Z, X), true, q1(X, X, Z), true), true), true) = true.
% 9.95/1.54 Axiom 9 (rule_099): ifeq(q1(X, X, Y), true, ifeq(k0(Y), true, ifeq(l0(Z), true, q1(Z, X, X), true), true), true) = true.
% 9.95/1.54
% 9.95/1.54 Goal 1 (prove_this): q1(a, d, d) = true.
% 9.95/1.54 Proof:
% 9.95/1.54 q1(a, d, d)
% 9.95/1.54 = { by axiom 6 (ifeq_axiom) R->L }
% 9.95/1.54 ifeq(true, true, q1(a, d, d), true)
% 9.95/1.54 = { by axiom 2 (axiom_32) R->L }
% 9.95/1.54 ifeq(k0(b), true, q1(a, d, d), true)
% 9.95/1.54 = { by axiom 6 (ifeq_axiom) R->L }
% 9.95/1.54 ifeq(k0(b), true, ifeq(true, true, q1(a, d, d), true), true)
% 9.95/1.54 = { by axiom 1 (axiom_20) R->L }
% 9.95/1.54 ifeq(k0(b), true, ifeq(l0(a), true, q1(a, d, d), true), true)
% 9.95/1.54 = { by axiom 6 (ifeq_axiom) R->L }
% 9.95/1.54 ifeq(true, true, ifeq(k0(b), true, ifeq(l0(a), true, q1(a, d, d), true), true), true)
% 9.95/1.54 = { by axiom 8 (rule_109) R->L }
% 9.95/1.54 ifeq(ifeq(k1(d), true, ifeq(p0(b, b), true, ifeq(q0(b, d), true, q1(d, d, b), true), true), true), true, ifeq(k0(b), true, ifeq(l0(a), true, q1(a, d, d), true), true), true)
% 9.95/1.54 = { by axiom 6 (ifeq_axiom) R->L }
% 9.95/1.54 ifeq(ifeq(ifeq(true, true, k1(d), true), true, ifeq(p0(b, b), true, ifeq(q0(b, d), true, q1(d, d, b), true), true), true), true, ifeq(k0(b), true, ifeq(l0(a), true, q1(a, d, d), true), true), true)
% 9.95/1.54 = { by axiom 5 (axiom_34) R->L }
% 9.95/1.54 ifeq(ifeq(ifeq(n0(c, d), true, k1(d), true), true, ifeq(p0(b, b), true, ifeq(q0(b, d), true, q1(d, d, b), true), true), true), true, ifeq(k0(b), true, ifeq(l0(a), true, q1(a, d, d), true), true), true)
% 9.95/1.54 = { by axiom 7 (rule_001) }
% 9.95/1.54 ifeq(ifeq(true, true, ifeq(p0(b, b), true, ifeq(q0(b, d), true, q1(d, d, b), true), true), true), true, ifeq(k0(b), true, ifeq(l0(a), true, q1(a, d, d), true), true), true)
% 9.95/1.54 = { by axiom 6 (ifeq_axiom) }
% 9.95/1.54 ifeq(ifeq(p0(b, b), true, ifeq(q0(b, d), true, q1(d, d, b), true), true), true, ifeq(k0(b), true, ifeq(l0(a), true, q1(a, d, d), true), true), true)
% 9.95/1.54 = { by axiom 4 (axiom_17) }
% 9.95/1.54 ifeq(ifeq(p0(b, b), true, ifeq(true, true, q1(d, d, b), true), true), true, ifeq(k0(b), true, ifeq(l0(a), true, q1(a, d, d), true), true), true)
% 9.95/1.54 = { by axiom 6 (ifeq_axiom) }
% 9.95/1.54 ifeq(ifeq(p0(b, b), true, q1(d, d, b), true), true, ifeq(k0(b), true, ifeq(l0(a), true, q1(a, d, d), true), true), true)
% 9.95/1.54 = { by axiom 3 (axiom_14) }
% 9.95/1.54 ifeq(ifeq(true, true, q1(d, d, b), true), true, ifeq(k0(b), true, ifeq(l0(a), true, q1(a, d, d), true), true), true)
% 9.95/1.54 = { by axiom 6 (ifeq_axiom) }
% 9.95/1.54 ifeq(q1(d, d, b), true, ifeq(k0(b), true, ifeq(l0(a), true, q1(a, d, d), true), true), true)
% 9.95/1.54 = { by axiom 9 (rule_099) }
% 9.95/1.54 true
% 9.95/1.54 % SZS output end Proof
% 9.95/1.54
% 9.95/1.54 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------