%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN272-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.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 01:47:26 PM UTC 2026
% Result : Unsatisfiable 20.67s 2.92s
% Output : Proof 20.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN272-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.18 % Computer : n004.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 15:40:11 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.67/2.92 Command-line arguments: --flatten-regeneralise
% 20.67/2.92
% 20.67/2.92 % SZS status Unsatisfiable
% 20.67/2.92
% 20.67/2.95 % SZS output start Proof
% 20.67/2.95 Axiom 1 (axiom_5): s0(b) = true.
% 20.67/2.95 Axiom 2 (axiom_15): n0(a, b) = true.
% 20.67/2.95 Axiom 3 (axiom_34): n0(c, d) = true.
% 20.67/2.95 Axiom 4 (axiom_14): p0(b, X) = true.
% 20.67/2.95 Axiom 5 (axiom_19): m0(X, d, Y) = true.
% 20.67/2.95 Axiom 6 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 20.67/2.95 Axiom 7 (rule_001): ifeq(n0(X, Y), true, k1(Y), true) = true.
% 20.67/2.95 Axiom 8 (rule_194): ifeq(k2(X, Y), true, k3(Y, Y, X), true) = true.
% 20.67/2.95 Axiom 9 (rule_129): ifeq(q1(X, Y, Y), true, k2(Y, Y), true) = true.
% 20.67/2.95 Axiom 10 (rule_287): ifeq(k3(X, X, Y), true, p4(X, Y, X), true) = true.
% 20.67/2.95 Axiom 11 (rule_005): ifeq(m0(X, X, Y), true, m1(Y, X, Y), true) = true.
% 20.67/2.95 Axiom 12 (rule_029): ifeq(p0(X, Y), true, ifeq(s0(X), true, m1(X, Y, X), true), true) = true.
% 20.67/2.95 Axiom 13 (rule_107): ifeq(m0(e, d, X), true, ifeq(m0(X, d, X), true, q1(e, X, X), true), true) = true.
% 20.67/2.95 Axiom 14 (rule_127): ifeq(k2(X, Y), true, ifeq(m1(Z, Y, W), true, ifeq(k1(X), true, k2(W, Y), true), true), true) = true.
% 20.67/2.95
% 20.67/2.95 Goal 1 (prove_this): p4(d, e, X) = true.
% 20.67/2.95 The goal is true when:
% 20.67/2.95 X = d
% 20.67/2.95
% 20.67/2.95 Proof:
% 20.67/2.95 p4(d, e, d)
% 20.67/2.95 = { by axiom 6 (ifeq_axiom) R->L }
% 20.67/2.95 ifeq(true, true, p4(d, e, d), true)
% 20.67/2.95 = { by axiom 8 (rule_194) R->L }
% 20.67/2.95 ifeq(ifeq(k2(e, d), true, k3(d, d, e), true), true, p4(d, e, d), true)
% 20.67/2.95 = { by axiom 6 (ifeq_axiom) R->L }
% 20.67/2.95 ifeq(ifeq(ifeq(true, true, k2(e, d), true), true, k3(d, d, e), true), true, p4(d, e, d), true)
% 20.67/2.95 = { by axiom 11 (rule_005) R->L }
% 20.67/2.95 ifeq(ifeq(ifeq(ifeq(m0(d, d, e), true, m1(e, d, e), true), true, k2(e, d), true), true, k3(d, d, e), true), true, p4(d, e, d), true)
% 20.67/2.95 = { by axiom 5 (axiom_19) }
% 20.67/2.95 ifeq(ifeq(ifeq(ifeq(true, true, m1(e, d, e), true), true, k2(e, d), true), true, k3(d, d, e), true), true, p4(d, e, d), true)
% 20.67/2.95 = { by axiom 6 (ifeq_axiom) }
% 20.67/2.95 ifeq(ifeq(ifeq(m1(e, d, e), true, k2(e, d), true), true, k3(d, d, e), true), true, p4(d, e, d), true)
% 20.67/2.95 = { by axiom 6 (ifeq_axiom) R->L }
% 20.67/2.95 ifeq(ifeq(ifeq(m1(e, d, e), true, ifeq(true, true, k2(e, d), true), true), true, k3(d, d, e), true), true, p4(d, e, d), true)
% 20.67/2.95 = { by axiom 7 (rule_001) R->L }
% 20.67/2.95 ifeq(ifeq(ifeq(m1(e, d, e), true, ifeq(ifeq(n0(a, b), true, k1(b), true), true, k2(e, d), true), true), true, k3(d, d, e), true), true, p4(d, e, d), true)
% 20.67/2.95 = { by axiom 2 (axiom_15) }
% 20.67/2.95 ifeq(ifeq(ifeq(m1(e, d, e), true, ifeq(ifeq(true, true, k1(b), true), true, k2(e, d), true), true), true, k3(d, d, e), true), true, p4(d, e, d), true)
% 20.67/2.95 = { by axiom 6 (ifeq_axiom) }
% 20.67/2.95 ifeq(ifeq(ifeq(m1(e, d, e), true, ifeq(k1(b), true, k2(e, d), true), true), true, k3(d, d, e), true), true, p4(d, e, d), true)
% 20.67/2.95 = { by axiom 6 (ifeq_axiom) R->L }
% 20.67/2.95 ifeq(ifeq(ifeq(true, true, ifeq(m1(e, d, e), true, ifeq(k1(b), true, k2(e, d), true), true), true), true, k3(d, d, e), true), true, p4(d, e, d), true)
% 20.67/2.95 = { by axiom 14 (rule_127) R->L }
% 20.67/2.95 ifeq(ifeq(ifeq(ifeq(k2(d, d), true, ifeq(m1(b, d, b), true, ifeq(k1(d), true, k2(b, d), true), true), true), true, ifeq(m1(e, d, e), true, ifeq(k1(b), true, k2(e, d), true), true), true), true, k3(d, d, e), true), true, p4(d, e, d), true)
% 20.67/2.95 = { by axiom 6 (ifeq_axiom) R->L }
% 20.67/2.96 ifeq(ifeq(ifeq(ifeq(k2(d, d), true, ifeq(ifeq(true, true, m1(b, d, b), true), true, ifeq(k1(d), true, k2(b, d), true), true), true), true, ifeq(m1(e, d, e), true, ifeq(k1(b), true, k2(e, d), true), true), true), true, k3(d, d, e), true), true, p4(d, e, d), true)
% 20.67/2.96 = { by axiom 6 (ifeq_axiom) R->L }
% 20.67/2.96 ifeq(ifeq(ifeq(ifeq(k2(d, d), true, ifeq(ifeq(true, true, ifeq(true, true, m1(b, d, b), true), true), true, ifeq(k1(d), true, k2(b, d), true), true), true), true, ifeq(m1(e, d, e), true, ifeq(k1(b), true, k2(e, d), true), true), true), true, k3(d, d, e), true), true, p4(d, e, d), true)
% 20.67/2.96 = { by axiom 4 (axiom_14) R->L }
% 20.67/2.96 ifeq(ifeq(ifeq(ifeq(k2(d, d), true, ifeq(ifeq(p0(b, d), true, ifeq(true, true, m1(b, d, b), true), true), true, ifeq(k1(d), true, k2(b, d), true), true), true), true, ifeq(m1(e, d, e), true, ifeq(k1(b), true, k2(e, d), true), true), true), true, k3(d, d, e), true), true, p4(d, e, d), true)
% 20.67/2.96 = { by axiom 1 (axiom_5) R->L }
% 20.67/2.96 ifeq(ifeq(ifeq(ifeq(k2(d, d), true, ifeq(ifeq(p0(b, d), true, ifeq(s0(b), true, m1(b, d, b), true), true), true, ifeq(k1(d), true, k2(b, d), true), true), true), true, ifeq(m1(e, d, e), true, ifeq(k1(b), true, k2(e, d), true), true), true), true, k3(d, d, e), true), true, p4(d, e, d), true)
% 20.67/2.96 = { by axiom 12 (rule_029) }
% 20.67/2.96 ifeq(ifeq(ifeq(ifeq(k2(d, d), true, ifeq(true, true, ifeq(k1(d), true, k2(b, d), true), true), true), true, ifeq(m1(e, d, e), true, ifeq(k1(b), true, k2(e, d), true), true), true), true, k3(d, d, e), true), true, p4(d, e, d), true)
% 20.67/2.96 = { by axiom 6 (ifeq_axiom) }
% 20.67/2.96 ifeq(ifeq(ifeq(ifeq(k2(d, d), true, ifeq(k1(d), true, k2(b, d), true), true), true, ifeq(m1(e, d, e), true, ifeq(k1(b), true, k2(e, d), true), true), true), true, k3(d, d, e), true), true, p4(d, e, d), true)
% 20.67/2.96 = { by axiom 6 (ifeq_axiom) R->L }
% 20.67/2.96 ifeq(ifeq(ifeq(ifeq(ifeq(true, true, k2(d, d), true), true, ifeq(k1(d), true, k2(b, d), true), true), true, ifeq(m1(e, d, e), true, ifeq(k1(b), true, k2(e, d), true), true), true), true, k3(d, d, e), true), true, p4(d, e, d), true)
% 20.67/2.96 = { by axiom 13 (rule_107) R->L }
% 20.67/2.96 ifeq(ifeq(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, ifeq(k1(d), true, k2(b, d), true), true), true, ifeq(m1(e, d, e), true, ifeq(k1(b), true, k2(e, d), true), true), true), true, k3(d, d, e), true), true, p4(d, e, d), true)
% 20.67/2.96 = { by axiom 5 (axiom_19) }
% 20.67/2.96 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(m0(d, d, d), true, q1(e, d, d), true), true), true, k2(d, d), true), true, ifeq(k1(d), true, k2(b, d), true), true), true, ifeq(m1(e, d, e), true, ifeq(k1(b), true, k2(e, d), true), true), true), true, k3(d, d, e), true), true, p4(d, e, d), true)
% 20.67/2.96 = { by axiom 6 (ifeq_axiom) }
% 20.67/2.96 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(m0(d, d, d), true, q1(e, d, d), true), true, k2(d, d), true), true, ifeq(k1(d), true, k2(b, d), true), true), true, ifeq(m1(e, d, e), true, ifeq(k1(b), true, k2(e, d), true), true), true), true, k3(d, d, e), true), true, p4(d, e, d), true)
% 20.67/2.96 = { by axiom 5 (axiom_19) }
% 20.67/2.96 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, q1(e, d, d), true), true, k2(d, d), true), true, ifeq(k1(d), true, k2(b, d), true), true), true, ifeq(m1(e, d, e), true, ifeq(k1(b), true, k2(e, d), true), true), true), true, k3(d, d, e), true), true, p4(d, e, d), true)
% 20.67/2.96 = { by axiom 6 (ifeq_axiom) }
% 20.67/2.96 ifeq(ifeq(ifeq(ifeq(ifeq(q1(e, d, d), true, k2(d, d), true), true, ifeq(k1(d), true, k2(b, d), true), true), true, ifeq(m1(e, d, e), true, ifeq(k1(b), true, k2(e, d), true), true), true), true, k3(d, d, e), true), true, p4(d, e, d), true)
% 20.67/2.96 = { by axiom 9 (rule_129) }
% 20.67/2.96 ifeq(ifeq(ifeq(ifeq(true, true, ifeq(k1(d), true, k2(b, d), true), true), true, ifeq(m1(e, d, e), true, ifeq(k1(b), true, k2(e, d), true), true), true), true, k3(d, d, e), true), true, p4(d, e, d), true)
% 20.67/2.96 = { by axiom 6 (ifeq_axiom) }
% 20.67/2.96 ifeq(ifeq(ifeq(ifeq(k1(d), true, k2(b, d), true), true, ifeq(m1(e, d, e), true, ifeq(k1(b), true, k2(e, d), true), true), true), true, k3(d, d, e), true), true, p4(d, e, d), true)
% 20.67/2.96 = { by axiom 6 (ifeq_axiom) R->L }
% 20.67/2.96 ifeq(ifeq(ifeq(ifeq(ifeq(true, true, k1(d), true), true, k2(b, d), true), true, ifeq(m1(e, d, e), true, ifeq(k1(b), true, k2(e, d), true), true), true), true, k3(d, d, e), true), true, p4(d, e, d), true)
% 20.67/2.96 = { by axiom 3 (axiom_34) R->L }
% 20.67/2.96 ifeq(ifeq(ifeq(ifeq(ifeq(n0(c, d), true, k1(d), true), true, k2(b, d), true), true, ifeq(m1(e, d, e), true, ifeq(k1(b), true, k2(e, d), true), true), true), true, k3(d, d, e), true), true, p4(d, e, d), true)
% 20.67/2.96 = { by axiom 7 (rule_001) }
% 20.67/2.96 ifeq(ifeq(ifeq(ifeq(true, true, k2(b, d), true), true, ifeq(m1(e, d, e), true, ifeq(k1(b), true, k2(e, d), true), true), true), true, k3(d, d, e), true), true, p4(d, e, d), true)
% 20.67/2.96 = { by axiom 6 (ifeq_axiom) }
% 20.67/2.96 ifeq(ifeq(ifeq(k2(b, d), true, ifeq(m1(e, d, e), true, ifeq(k1(b), true, k2(e, d), true), true), true), true, k3(d, d, e), true), true, p4(d, e, d), true)
% 20.67/2.96 = { by axiom 14 (rule_127) }
% 20.67/2.96 ifeq(ifeq(true, true, k3(d, d, e), true), true, p4(d, e, d), true)
% 20.67/2.96 = { by axiom 6 (ifeq_axiom) }
% 20.67/2.96 ifeq(k3(d, d, e), true, p4(d, e, d), true)
% 20.67/2.96 = { by axiom 10 (rule_287) }
% 20.67/2.96 true
% 20.67/2.96 % SZS output end Proof
% 20.67/2.96
% 20.67/2.96 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------