%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN151-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 01:47:11 PM UTC 2026
% Result : Unsatisfiable 4.41s 0.90s
% Output : Proof 5.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN151-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.18 % Computer : n003.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 15:38:57 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.41/0.90 Command-line arguments: --flatten --complete-subsets
% 4.41/0.90
% 4.41/0.90 % SZS status Unsatisfiable
% 4.41/0.90
% 5.23/0.90 % SZS output start Proof
% 5.23/0.90 Axiom 1 (axiom_13): r0(e) = true.
% 5.23/0.90 Axiom 2 (axiom_1): s0(d) = true.
% 5.23/0.90 Axiom 3 (axiom_14): p0(b, X) = true.
% 5.23/0.90 Axiom 4 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 5.23/0.90 Axiom 5 (rule_137): ifeq(p1(X, Y, Z), true, n2(Z), true) = true.
% 5.23/0.90 Axiom 6 (rule_085): ifeq(p0(X, Y), true, p1(Y, Y, Y), true) = true.
% 5.23/0.90
% 5.23/0.90 Lemma 7: s0(d) = r0(e).
% 5.23/0.90 Proof:
% 5.23/0.90 s0(d)
% 5.23/0.90 = { by axiom 2 (axiom_1) }
% 5.23/0.90 true
% 5.23/0.90 = { by axiom 1 (axiom_13) R->L }
% 5.23/0.90 r0(e)
% 5.23/0.90
% 5.23/0.90 Goal 1 (prove_this): n2(d) = true.
% 5.23/0.90 Proof:
% 5.23/0.90 n2(d)
% 5.23/0.90 = { by axiom 4 (ifeq_axiom) R->L }
% 5.23/0.90 ifeq(s0(d), s0(d), n2(d), s0(d))
% 5.23/0.90 = { by lemma 7 }
% 5.23/0.90 ifeq(r0(e), s0(d), n2(d), s0(d))
% 5.23/0.90 = { by axiom 1 (axiom_13) }
% 5.23/0.90 ifeq(true, s0(d), n2(d), s0(d))
% 5.23/0.90 = { by axiom 6 (rule_085) R->L }
% 5.23/0.90 ifeq(ifeq(p0(b, d), true, p1(d, d, d), true), s0(d), n2(d), s0(d))
% 5.23/0.91 = { by axiom 1 (axiom_13) R->L }
% 5.23/0.91 ifeq(ifeq(p0(b, d), true, p1(d, d, d), r0(e)), s0(d), n2(d), s0(d))
% 5.23/0.91 = { by axiom 1 (axiom_13) R->L }
% 5.23/0.91 ifeq(ifeq(p0(b, d), r0(e), p1(d, d, d), r0(e)), s0(d), n2(d), s0(d))
% 5.23/0.91 = { by lemma 7 R->L }
% 5.23/0.91 ifeq(ifeq(p0(b, d), r0(e), p1(d, d, d), s0(d)), s0(d), n2(d), s0(d))
% 5.23/0.91 = { by lemma 7 R->L }
% 5.23/0.91 ifeq(ifeq(p0(b, d), s0(d), p1(d, d, d), s0(d)), s0(d), n2(d), s0(d))
% 5.23/0.91 = { by axiom 3 (axiom_14) }
% 5.23/0.91 ifeq(ifeq(true, s0(d), p1(d, d, d), s0(d)), s0(d), n2(d), s0(d))
% 5.23/0.91 = { by axiom 1 (axiom_13) R->L }
% 5.23/0.91 ifeq(ifeq(r0(e), s0(d), p1(d, d, d), s0(d)), s0(d), n2(d), s0(d))
% 5.23/0.91 = { by lemma 7 R->L }
% 5.23/0.91 ifeq(ifeq(s0(d), s0(d), p1(d, d, d), s0(d)), s0(d), n2(d), s0(d))
% 5.23/0.91 = { by axiom 4 (ifeq_axiom) }
% 5.23/0.91 ifeq(p1(d, d, d), s0(d), n2(d), s0(d))
% 5.23/0.91 = { by lemma 7 }
% 5.23/0.91 ifeq(p1(d, d, d), r0(e), n2(d), s0(d))
% 5.23/0.91 = { by lemma 7 }
% 5.23/0.91 ifeq(p1(d, d, d), r0(e), n2(d), r0(e))
% 5.23/0.91 = { by axiom 1 (axiom_13) }
% 5.23/0.91 ifeq(p1(d, d, d), true, n2(d), r0(e))
% 5.23/0.91 = { by axiom 1 (axiom_13) }
% 5.23/0.91 ifeq(p1(d, d, d), true, n2(d), true)
% 5.23/0.91 = { by axiom 5 (rule_137) }
% 5.23/0.91 true
% 5.23/0.91 % SZS output end Proof
% 5.23/0.91
% 5.23/0.91 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------