%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN122-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 01:47:08 PM UTC 2026
% Result : Unsatisfiable 5.08s 1.01s
% Output : Proof 5.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN122-1 : 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 : n016.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 15:41:03 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.08/1.01 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
% 5.08/1.01
% 5.08/1.01 % SZS status Unsatisfiable
% 5.08/1.01
% 5.08/1.01 % SZS output start Proof
% 5.08/1.01 Axiom 1 (axiom_14): p0(b, X) = true.
% 5.08/1.01 Axiom 2 (axiom_17): q0(X, d) = true.
% 5.08/1.01 Axiom 3 (axiom_30): n0(e, e) = true.
% 5.08/1.01 Axiom 4 (axiom_19): m0(X, d, Y) = true.
% 5.08/1.02 Axiom 5 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 5.08/1.02 Axiom 6 (rule_125): ifeq(p0(X, X), true, s1(X), true) = true.
% 5.08/1.02 Axiom 7 (rule_126): ifeq(s1(X), true, ifeq(q0(Y, Z), true, s1(Y), true), true) = true.
% 5.08/1.02 Axiom 8 (rule_131): ifeq(l2(X, X), true, ifeq(s1(Y), true, ifeq(n0(e, X), true, l2(Y, X), true), true), true) = true.
% 5.08/1.02 Axiom 9 (rule_133): ifeq(s1(X), true, ifeq(p0(Y, Y), true, ifeq(m0(Z, X, W), true, l2(W, W), true), true), true) = true.
% 5.08/1.02
% 5.08/1.02 Goal 1 (prove_this): l2(b, e) = true.
% 5.08/1.02 Proof:
% 5.08/1.02 l2(b, e)
% 5.08/1.02 = { by axiom 5 (ifeq_axiom) R->L }
% 5.08/1.02 ifeq(true, true, l2(b, e), true)
% 5.08/1.02 = { by axiom 9 (rule_133) R->L }
% 5.08/1.02 ifeq(ifeq(s1(d), true, ifeq(p0(b, b), true, ifeq(m0(X, d, e), true, l2(e, e), true), true), true), true, l2(b, e), true)
% 5.08/1.02 = { by axiom 4 (axiom_19) }
% 5.08/1.02 ifeq(ifeq(s1(d), true, ifeq(p0(b, b), true, ifeq(true, true, l2(e, e), true), true), true), true, l2(b, e), true)
% 5.08/1.02 = { by axiom 5 (ifeq_axiom) R->L }
% 5.08/1.02 ifeq(ifeq(ifeq(true, true, s1(d), true), true, ifeq(p0(b, b), true, ifeq(true, true, l2(e, e), true), true), true), true, l2(b, e), true)
% 5.08/1.02 = { by axiom 6 (rule_125) R->L }
% 5.08/1.02 ifeq(ifeq(ifeq(ifeq(p0(b, b), true, s1(b), true), true, s1(d), true), true, ifeq(p0(b, b), true, ifeq(true, true, l2(e, e), true), true), true), true, l2(b, e), true)
% 5.08/1.02 = { by axiom 1 (axiom_14) }
% 5.08/1.02 ifeq(ifeq(ifeq(ifeq(true, true, s1(b), true), true, s1(d), true), true, ifeq(p0(b, b), true, ifeq(true, true, l2(e, e), true), true), true), true, l2(b, e), true)
% 5.08/1.02 = { by axiom 5 (ifeq_axiom) }
% 5.08/1.02 ifeq(ifeq(ifeq(s1(b), true, s1(d), true), true, ifeq(p0(b, b), true, ifeq(true, true, l2(e, e), true), true), true), true, l2(b, e), true)
% 5.08/1.02 = { by axiom 5 (ifeq_axiom) R->L }
% 5.08/1.02 ifeq(ifeq(ifeq(s1(b), true, ifeq(true, true, s1(d), true), true), true, ifeq(p0(b, b), true, ifeq(true, true, l2(e, e), true), true), true), true, l2(b, e), true)
% 5.08/1.02 = { by axiom 2 (axiom_17) R->L }
% 5.08/1.02 ifeq(ifeq(ifeq(s1(b), true, ifeq(q0(d, d), true, s1(d), true), true), true, ifeq(p0(b, b), true, ifeq(true, true, l2(e, e), true), true), true), true, l2(b, e), true)
% 5.08/1.02 = { by axiom 7 (rule_126) }
% 5.08/1.02 ifeq(ifeq(true, true, ifeq(p0(b, b), true, ifeq(true, true, l2(e, e), true), true), true), true, l2(b, e), true)
% 5.08/1.02 = { by axiom 5 (ifeq_axiom) }
% 5.08/1.02 ifeq(ifeq(p0(b, b), true, ifeq(true, true, l2(e, e), true), true), true, l2(b, e), true)
% 5.08/1.02 = { by axiom 5 (ifeq_axiom) }
% 5.08/1.02 ifeq(ifeq(p0(b, b), true, l2(e, e), true), true, l2(b, e), true)
% 5.08/1.02 = { by axiom 1 (axiom_14) }
% 5.08/1.02 ifeq(ifeq(true, true, l2(e, e), true), true, l2(b, e), true)
% 5.08/1.02 = { by axiom 5 (ifeq_axiom) }
% 5.08/1.02 ifeq(l2(e, e), true, l2(b, e), true)
% 5.08/1.02 = { by axiom 5 (ifeq_axiom) R->L }
% 5.08/1.02 ifeq(l2(e, e), true, ifeq(true, true, l2(b, e), true), true)
% 5.08/1.02 = { by axiom 3 (axiom_30) R->L }
% 5.08/1.02 ifeq(l2(e, e), true, ifeq(n0(e, e), true, l2(b, e), true), true)
% 5.08/1.02 = { by axiom 5 (ifeq_axiom) R->L }
% 5.08/1.02 ifeq(l2(e, e), true, ifeq(true, true, ifeq(n0(e, e), true, l2(b, e), true), true), true)
% 5.08/1.02 = { by axiom 6 (rule_125) R->L }
% 5.08/1.02 ifeq(l2(e, e), true, ifeq(ifeq(p0(b, b), true, s1(b), true), true, ifeq(n0(e, e), true, l2(b, e), true), true), true)
% 5.08/1.02 = { by axiom 1 (axiom_14) }
% 5.08/1.02 ifeq(l2(e, e), true, ifeq(ifeq(true, true, s1(b), true), true, ifeq(n0(e, e), true, l2(b, e), true), true), true)
% 5.08/1.02 = { by axiom 5 (ifeq_axiom) }
% 5.08/1.02 ifeq(l2(e, e), true, ifeq(s1(b), true, ifeq(n0(e, e), true, l2(b, e), true), true), true)
% 5.08/1.02 = { by axiom 8 (rule_131) }
% 5.08/1.02 true
% 5.08/1.02 % SZS output end Proof
% 5.08/1.02
% 5.08/1.02 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------