%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWW441-1 : TPTP v9.2.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 05:32:24 PM UTC 2026
% Result : Unsatisfiable 120.48s 87.37s
% Output : CNFRefutation 121.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 61
% Syntax : Number of clauses : 207 ( 188 unt; 6 nHn; 152 RR)
% Number of literals : 234 ( 203 equ; 153 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 13 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 20 con; 0-2 aty)
% Number of variables : 312 ( 102 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(premise_44,hypothesis,
heap(sep(lseg(x5,x1),sep(lseg(x10,x13),sep(lseg(x10,x18),sep(lseg(x18,x1),sep(lseg(x15,x11),sep(lseg(x14,x17),sep(lseg(x12,x18),sep(lseg(x9,x12),sep(lseg(x7,x14),sep(lseg(x7,x12),sep(lseg(x6,x9),emp)))))))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_44) ).
cnf(unfolding_5,axiom,
( X3 = X4
| heap(sep(lseg(X1,X3),sep(lseg(X3,X4),X5)))
| ~ heap(sep(lseg(X1,X2),sep(lseg(X2,X3),sep(lseg(X3,X4),X5)))) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV013-0.ax',unfolding_5) ).
cnf(unfolding_4,axiom,
( heap(sep(lseg(X1,X3),sep(next(X3,X4),X5)))
| ~ heap(sep(lseg(X1,X2),sep(lseg(X2,X3),sep(next(X3,X4),X5)))) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV013-0.ax',unfolding_4) ).
cnf(unfolding_2,axiom,
( X1 = X2
| heap(sep(lseg(X1,X3),X4))
| ~ heap(sep(next(X1,X2),sep(lseg(X2,X3),X4))) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV013-0.ax',unfolding_2) ).
cnf(unfolding_3,axiom,
( heap(sep(lseg(X1,nil),X3))
| ~ heap(sep(lseg(X1,X2),sep(lseg(X2,nil),X3))) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV013-0.ax',unfolding_3) ).
cnf(wellformedness_5,axiom,
( X1 = X2
| X1 = X3
| ~ heap(sep(lseg(X1,X2),sep(lseg(X1,X3),X4))) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV013-0.ax',wellformedness_5) ).
cnf(wellformedness_4,axiom,
( X1 = X3
| ~ heap(sep(next(X1,X2),sep(lseg(X1,X3),X4))) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV013-0.ax',wellformedness_4) ).
cnf(wellformedness_3,axiom,
~ heap(sep(next(X1,X2),sep(next(X1,X3),X4))),
file('/export/starexec/sandbox/benchmark/Axioms/SWV013-0.ax',wellformedness_3) ).
cnf(wellformedness_2,axiom,
( X1 = nil
| ~ heap(sep(lseg(nil,X1),X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV013-0.ax',wellformedness_2) ).
cnf(wellformedness_1,axiom,
~ heap(sep(next(nil,X1),X2)),
file('/export/starexec/sandbox/benchmark/Axioms/SWV013-0.ax',wellformedness_1) ).
cnf(associative_commutative,axiom,
sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
file('/export/starexec/sandbox/benchmark/Axioms/SWV013-0.ax',associative_commutative) ).
cnf(normalization,axiom,
sep(lseg(X1,X1),X2) = X2,
file('/export/starexec/sandbox/benchmark/Axioms/SWV013-0.ax',normalization) ).
cnf(premise_35,hypothesis,
x1 != x11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_35) ).
cnf(premise_37,hypothesis,
x1 != x15,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_37) ).
cnf(premise_38,hypothesis,
x1 != x5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_38) ).
cnf(premise_36,hypothesis,
x1 != x18,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_36) ).
cnf(premise_34,hypothesis,
x1 != x8,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_34) ).
cnf(premise_32,hypothesis,
x4 != x14,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_32) ).
cnf(premise_22,hypothesis,
x2 != x10,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_22) ).
cnf(premise_40,hypothesis,
x10 != x15,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_40) ).
cnf(premise_39,hypothesis,
x10 != x18,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_39) ).
cnf(premise_28,hypothesis,
x8 != x10,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_28) ).
cnf(premise_23,hypothesis,
x2 != x16,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_23) ).
cnf(premise_19,hypothesis,
x2 != x11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_19) ).
cnf(premise_24,hypothesis,
x2 != x5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_24) ).
cnf(premise_20,hypothesis,
x2 != x18,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_20) ).
cnf(premise_21,hypothesis,
x2 != x3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_21) ).
cnf(premise_18,hypothesis,
x2 != x8,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_18) ).
cnf(premise_14,hypothesis,
x7 != x16,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_14) ).
cnf(premise_26,hypothesis,
x15 != x16,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_26) ).
cnf(premise_43,hypothesis,
x5 != x16,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_43) ).
cnf(premise_41,hypothesis,
x16 != x17,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_41) ).
cnf(premise_16,hypothesis,
x9 != x16,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_16) ).
cnf(premise_13,hypothesis,
x7 != x11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_13) ).
cnf(premise_27,hypothesis,
x8 != x11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_27) ).
cnf(premise_15,hypothesis,
x7 != x15,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_15) ).
cnf(premise_33,hypothesis,
x4 != x15,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_33) ).
cnf(premise_12,hypothesis,
x3 != x15,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_12) ).
cnf(premise_29,hypothesis,
x8 != x15,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_29) ).
cnf(premise_11,hypothesis,
x3 != x5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_11) ).
cnf(premise_42,hypothesis,
x5 != x6,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_42) ).
cnf(premise_30,hypothesis,
x4 != x18,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_30) ).
cnf(premise_8,hypothesis,
x3 != x18,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_8) ).
cnf(premise_17,hypothesis,
x17 != x18,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_17) ).
cnf(premise_7,hypothesis,
x3 != x4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_7) ).
cnf(premise_31,hypothesis,
x4 != x9,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_31) ).
cnf(premise_10,hypothesis,
x3 != x17,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_10) ).
cnf(premise_9,hypothesis,
x3 != x13,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_9) ).
cnf(premise_6,hypothesis,
x3 != x6,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_6) ).
cnf(premise_25,hypothesis,
x12 != x13,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_25) ).
cnf(premise_5,hypothesis,
x6 != x12,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_5) ).
cnf(premise_4,hypothesis,
x6 != x17,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_4) ).
cnf(premise_3,hypothesis,
x6 != x13,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_3) ).
cnf(premise_2,hypothesis,
x6 != x9,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_2) ).
cnf(premise_1,hypothesis,
x6 != x8,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_1) ).
cnf(i_0_55,hypothesis,
heap(sep(lseg(x5,x1),sep(lseg(x10,x13),sep(lseg(x10,x18),sep(lseg(x18,x1),sep(lseg(x15,x11),sep(lseg(x14,x17),sep(lseg(x12,x18),sep(lseg(x9,x12),sep(lseg(x7,x14),sep(lseg(x7,x12),sep(lseg(x6,x9),emp)))))))))))),
premise_44,
[final] ).
cnf(i_0_56,axiom,
( X3 = X4
| heap(sep(lseg(X1,X3),sep(lseg(X3,X4),X5)))
| ~ heap(sep(lseg(X1,X2),sep(lseg(X2,X3),sep(lseg(X3,X4),X5)))) ),
unfolding_5,
[final] ).
cnf(i_0_57,axiom,
( heap(sep(lseg(X1,X3),sep(next(X3,X4),X5)))
| ~ heap(sep(lseg(X1,X2),sep(lseg(X2,X3),sep(next(X3,X4),X5)))) ),
unfolding_4,
[final] ).
cnf(i_0_58,axiom,
( X1 = X2
| heap(sep(lseg(X1,X3),X4))
| ~ heap(sep(next(X1,X2),sep(lseg(X2,X3),X4))) ),
unfolding_2,
[final] ).
cnf(i_0_59,axiom,
( heap(sep(lseg(X1,nil),X3))
| ~ heap(sep(lseg(X1,X2),sep(lseg(X2,nil),X3))) ),
unfolding_3,
[final] ).
cnf(i_0_60,axiom,
( X1 = X2
| X1 = X3
| ~ heap(sep(lseg(X1,X2),sep(lseg(X1,X3),X4))) ),
wellformedness_5,
[final] ).
cnf(i_0_61,axiom,
( X1 = X3
| ~ heap(sep(next(X1,X2),sep(lseg(X1,X3),X4))) ),
wellformedness_4,
[final] ).
cnf(i_0_62,axiom,
~ heap(sep(next(X1,X2),sep(next(X1,X3),X4))),
wellformedness_3,
[final] ).
cnf(i_0_63,axiom,
( X1 = nil
| ~ heap(sep(lseg(nil,X1),X2)) ),
wellformedness_2,
[final] ).
cnf(i_0_64,axiom,
~ heap(sep(next(nil,X1),X2)),
wellformedness_1,
[final] ).
cnf(i_0_65,axiom,
sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
associative_commutative,
[final] ).
cnf(i_0_66,axiom,
sep(lseg(X1,X1),X2) = X2,
normalization,
[final] ).
cnf(i_0_67,hypothesis,
x1 != x11,
premise_35,
[final] ).
cnf(i_0_68,hypothesis,
x1 != x15,
premise_37,
[final] ).
cnf(i_0_69,hypothesis,
x1 != x5,
premise_38,
[final] ).
cnf(i_0_70,hypothesis,
x1 != x18,
premise_36,
[final] ).
cnf(i_0_71,hypothesis,
x1 != x8,
premise_34,
[final] ).
cnf(i_0_72,hypothesis,
x4 != x14,
premise_32,
[final] ).
cnf(i_0_73,hypothesis,
x2 != x10,
premise_22,
[final] ).
cnf(i_0_74,hypothesis,
x10 != x15,
premise_40,
[final] ).
cnf(i_0_75,hypothesis,
x10 != x18,
premise_39,
[final] ).
cnf(i_0_76,hypothesis,
x8 != x10,
premise_28,
[final] ).
cnf(i_0_77,hypothesis,
x2 != x16,
premise_23,
[final] ).
cnf(i_0_78,hypothesis,
x2 != x11,
premise_19,
[final] ).
cnf(i_0_79,hypothesis,
x2 != x5,
premise_24,
[final] ).
cnf(i_0_80,hypothesis,
x2 != x18,
premise_20,
[final] ).
cnf(i_0_81,hypothesis,
x2 != x3,
premise_21,
[final] ).
cnf(i_0_82,hypothesis,
x2 != x8,
premise_18,
[final] ).
cnf(i_0_83,hypothesis,
x7 != x16,
premise_14,
[final] ).
cnf(i_0_84,hypothesis,
x15 != x16,
premise_26,
[final] ).
cnf(i_0_85,hypothesis,
x5 != x16,
premise_43,
[final] ).
cnf(i_0_86,hypothesis,
x16 != x17,
premise_41,
[final] ).
cnf(i_0_87,hypothesis,
x9 != x16,
premise_16,
[final] ).
cnf(i_0_88,hypothesis,
x7 != x11,
premise_13,
[final] ).
cnf(i_0_89,hypothesis,
x8 != x11,
premise_27,
[final] ).
cnf(i_0_90,hypothesis,
x7 != x15,
premise_15,
[final] ).
cnf(i_0_91,hypothesis,
x4 != x15,
premise_33,
[final] ).
cnf(i_0_92,hypothesis,
x3 != x15,
premise_12,
[final] ).
cnf(i_0_93,hypothesis,
x8 != x15,
premise_29,
[final] ).
cnf(i_0_94,hypothesis,
x3 != x5,
premise_11,
[final] ).
cnf(i_0_95,hypothesis,
x5 != x6,
premise_42,
[final] ).
cnf(i_0_96,hypothesis,
x4 != x18,
premise_30,
[final] ).
cnf(i_0_97,hypothesis,
x3 != x18,
premise_8,
[final] ).
cnf(i_0_98,hypothesis,
x17 != x18,
premise_17,
[final] ).
cnf(i_0_99,hypothesis,
x3 != x4,
premise_7,
[final] ).
cnf(i_0_100,hypothesis,
x4 != x9,
premise_31,
[final] ).
cnf(i_0_101,hypothesis,
x3 != x17,
premise_10,
[final] ).
cnf(i_0_102,hypothesis,
x3 != x13,
premise_9,
[final] ).
cnf(i_0_103,hypothesis,
x3 != x6,
premise_6,
[final] ).
cnf(i_0_104,hypothesis,
x12 != x13,
premise_25,
[final] ).
cnf(i_0_105,hypothesis,
x6 != x12,
premise_5,
[final] ).
cnf(i_0_106,hypothesis,
x6 != x17,
premise_4,
[final] ).
cnf(i_0_107,hypothesis,
x6 != x13,
premise_3,
[final] ).
cnf(i_0_108,hypothesis,
x6 != x9,
premise_2,
[final] ).
cnf(i_0_109,hypothesis,
x6 != x8,
premise_1,
[final] ).
cnf(i_0_110,axiom,
X1 = X1 ).
cnf(i_0_111,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_112,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_113,axiom,
( X1 != X2
| sep(X1,X3) = sep(X2,X3) ) ).
cnf(i_0_114,axiom,
( X1 != X2
| sep(X3,X1) = sep(X3,X2) ) ).
cnf(i_0_115,axiom,
( X1 != X2
| ~ heap(X1)
| heap(X2) ) ).
cnf(i_0_116,plain,
X1 = sep(lseg(X2,X2),X1),
inference(scs_inference,[],[i_0_66,i_0_111]) ).
cnf(i_0_117,plain,
X1 != sep(lseg(X2,X2),X3),
inference(scs_inference,[],[i_0_67,i_0_66,i_0_111,i_0_112]) ).
cnf(i_0_118,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_120,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_122,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_124,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_126,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_129,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_130,plain,
X1 != sep(lseg(X2,X2),X3),
inference(scs_inference,[],[i_0_68,i_0_66,i_0_112]) ).
cnf(i_0_131,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_132,plain,
X1 != sep(lseg(X2,X2),X3),
inference(scs_inference,[],[i_0_69,i_0_66,i_0_112]) ).
cnf(i_0_133,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_134,plain,
X1 != sep(lseg(X2,X2),X3),
inference(scs_inference,[],[i_0_70,i_0_66,i_0_112]) ).
cnf(i_0_135,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_136,plain,
X1 != sep(lseg(X2,X2),X3),
inference(scs_inference,[],[i_0_71,i_0_66,i_0_112]) ).
cnf(i_0_137,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_138,plain,
X1 != sep(lseg(X2,X2),X3),
inference(scs_inference,[],[i_0_72,i_0_66,i_0_112]) ).
cnf(i_0_139,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_140,plain,
X1 != sep(lseg(X2,X2),X3),
inference(scs_inference,[],[i_0_73,i_0_66,i_0_112]) ).
cnf(i_0_141,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_142,plain,
X1 != sep(lseg(X2,X2),X3),
inference(scs_inference,[],[i_0_74,i_0_66,i_0_112]) ).
cnf(i_0_143,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_144,plain,
X1 != sep(lseg(X2,X2),X3),
inference(scs_inference,[],[i_0_75,i_0_66,i_0_112]) ).
cnf(i_0_145,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_146,plain,
X1 != sep(lseg(X2,X2),X3),
inference(scs_inference,[],[i_0_76,i_0_66,i_0_112]) ).
cnf(i_0_147,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_148,plain,
X1 != sep(lseg(X2,X2),X3),
inference(scs_inference,[],[i_0_77,i_0_66,i_0_112]) ).
cnf(i_0_149,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_150,plain,
X1 != sep(lseg(X2,X2),X3),
inference(scs_inference,[],[i_0_78,i_0_66,i_0_112]) ).
cnf(i_0_151,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_152,plain,
X1 != sep(lseg(X2,X2),X3),
inference(scs_inference,[],[i_0_79,i_0_66,i_0_112]) ).
cnf(i_0_153,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_154,plain,
X1 != sep(lseg(X2,X2),X3),
inference(scs_inference,[],[i_0_80,i_0_66,i_0_112]) ).
cnf(i_0_155,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_156,plain,
X1 != sep(lseg(X2,X2),X3),
inference(scs_inference,[],[i_0_81,i_0_66,i_0_112]) ).
cnf(i_0_157,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_158,plain,
X1 != sep(lseg(X2,X2),X3),
inference(scs_inference,[],[i_0_82,i_0_66,i_0_112]) ).
cnf(i_0_159,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_160,plain,
X1 != sep(lseg(X2,X2),X3),
inference(scs_inference,[],[i_0_83,i_0_66,i_0_112]) ).
cnf(i_0_161,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_162,plain,
X1 != sep(lseg(X2,X2),X3),
inference(scs_inference,[],[i_0_84,i_0_66,i_0_112]) ).
cnf(i_0_163,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_164,plain,
X1 != sep(lseg(X2,X2),X3),
inference(scs_inference,[],[i_0_85,i_0_66,i_0_112]) ).
cnf(i_0_165,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_166,plain,
X1 != sep(lseg(X2,X2),X3),
inference(scs_inference,[],[i_0_86,i_0_66,i_0_112]) ).
cnf(i_0_167,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_168,plain,
X1 != sep(lseg(X2,X2),X3),
inference(scs_inference,[],[i_0_87,i_0_66,i_0_112]) ).
cnf(i_0_169,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_170,plain,
X1 != sep(lseg(X2,X2),X3),
inference(scs_inference,[],[i_0_88,i_0_66,i_0_112]) ).
cnf(i_0_171,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_172,plain,
X1 != sep(lseg(X2,X2),X3),
inference(scs_inference,[],[i_0_89,i_0_66,i_0_112]) ).
cnf(i_0_173,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_174,plain,
X1 != sep(lseg(X2,X2),X3),
inference(scs_inference,[],[i_0_90,i_0_66,i_0_112]) ).
cnf(i_0_175,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_176,plain,
X1 != sep(lseg(X2,X2),X3),
inference(scs_inference,[],[i_0_91,i_0_66,i_0_112]) ).
cnf(i_0_177,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_178,plain,
X1 != sep(lseg(X2,X2),X3),
inference(scs_inference,[],[i_0_92,i_0_66,i_0_112]) ).
cnf(i_0_179,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_180,plain,
X1 != sep(lseg(X2,X2),X3),
inference(scs_inference,[],[i_0_93,i_0_66,i_0_112]) ).
cnf(i_0_181,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_182,plain,
X1 != sep(lseg(X2,X2),X3),
inference(scs_inference,[],[i_0_94,i_0_66,i_0_112]) ).
cnf(i_0_183,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_184,plain,
X1 != sep(lseg(X2,X2),X3),
inference(scs_inference,[],[i_0_95,i_0_66,i_0_112]) ).
cnf(i_0_185,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_186,plain,
X1 != sep(lseg(X2,X2),X3),
inference(scs_inference,[],[i_0_96,i_0_66,i_0_112]) ).
cnf(i_0_187,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_188,plain,
X1 != sep(lseg(X2,X2),X3),
inference(scs_inference,[],[i_0_97,i_0_66,i_0_112]) ).
cnf(i_0_189,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_190,plain,
X1 != sep(lseg(X2,X2),X3),
inference(scs_inference,[],[i_0_98,i_0_66,i_0_112]) ).
cnf(i_0_191,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_192,plain,
X1 != sep(lseg(X2,X2),X3),
inference(scs_inference,[],[i_0_99,i_0_66,i_0_112]) ).
cnf(i_0_193,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_194,plain,
X1 != sep(lseg(X2,X2),X3),
inference(scs_inference,[],[i_0_100,i_0_66,i_0_112]) ).
cnf(i_0_195,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_196,plain,
X1 != sep(lseg(X2,X2),X3),
inference(scs_inference,[],[i_0_101,i_0_66,i_0_112]) ).
cnf(i_0_197,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_198,plain,
X1 != sep(lseg(X2,X2),X3),
inference(scs_inference,[],[i_0_102,i_0_66,i_0_112]) ).
cnf(i_0_199,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_200,plain,
X1 != sep(lseg(X2,X2),X3),
inference(scs_inference,[],[i_0_103,i_0_66,i_0_112]) ).
cnf(i_0_201,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_202,plain,
X1 != sep(lseg(X2,X2),X3),
inference(scs_inference,[],[i_0_104,i_0_66,i_0_112]) ).
cnf(i_0_203,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_204,plain,
X1 != sep(lseg(X2,X2),X3),
inference(scs_inference,[],[i_0_105,i_0_66,i_0_112]) ).
cnf(i_0_205,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_206,plain,
X1 != sep(lseg(X2,X2),X3),
inference(scs_inference,[],[i_0_106,i_0_66,i_0_112]) ).
cnf(i_0_207,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_208,plain,
X1 != sep(lseg(X2,X2),X3),
inference(scs_inference,[],[i_0_107,i_0_66,i_0_112]) ).
cnf(i_0_209,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(c_0_120,plain,
X1 != sep(lseg(X2,X2),X3),
i_0_117 ).
cnf(c_0_121,plain,
X1 = sep(lseg(X2,X2),X1),
i_0_116 ).
cnf(c_0_122,plain,
$false,
inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_120,c_0_121])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW441-1 : TPTP v9.2.1. Released v5.2.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n001.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 06:50:18 EDT 2026
% 0.15/0.34 % CPUTime :
% 0.15/0.35 % start to proof: theBenchmark
% 120.48/87.37 % Version : CSE_E---1.7
% 120.48/87.37 % Problem : theBenchmark.p
% 120.48/87.37 % SZS status Unsatisfiable for theBenchmark.p
% 120.48/87.37 % SZS output start CNFRefutation
% See solution above
% 121.55/88.40 % Total time : 87.015s
%------------------------------------------------------------------------------