%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWW420-1 : TPTP v9.2.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/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 05:32:19 PM UTC 2026
% Result : Unsatisfiable 108.21s 77.80s
% Output : CNFRefutation 108.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 22
% Syntax : Number of clauses : 109 ( 90 unt; 6 nHn; 53 RR)
% Number of literals : 136 ( 96 equ; 54 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 275 ( 62 sgn)
% Comments :
%------------------------------------------------------------------------------
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/sandbox2/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/sandbox2/benchmark/Axioms/SWV013-0.ax',unfolding_4) ).
cnf(conclusion_1,negated_conjecture,
~ heap(sep(lseg(x2,nil),sep(next(x1,x2),sep(lseg(x1,x1),emp)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion_1) ).
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/sandbox2/benchmark/Axioms/SWV013-0.ax',unfolding_2) ).
cnf(premise_4,hypothesis,
heap(sep(lseg(x3,nil),sep(lseg(x2,nil),sep(next(x1,x2),emp)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_4) ).
cnf(unfolding_3,axiom,
( heap(sep(lseg(X1,nil),X3))
| ~ heap(sep(lseg(X1,X2),sep(lseg(X2,nil),X3))) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SWV013-0.ax',wellformedness_4) ).
cnf(wellformedness_3,axiom,
~ heap(sep(next(X1,X2),sep(next(X1,X3),X4))),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax',wellformedness_3) ).
cnf(wellformedness_2,axiom,
( X1 = nil
| ~ heap(sep(lseg(nil,X1),X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax',wellformedness_2) ).
cnf(wellformedness_1,axiom,
~ heap(sep(next(nil,X1),X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax',wellformedness_1) ).
cnf(associative_commutative,axiom,
sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax',associative_commutative) ).
cnf(normalization,axiom,
sep(lseg(X1,X1),X2) = X2,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax',normalization) ).
cnf(premise_3,hypothesis,
x1 != x3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_3) ).
cnf(premise_2,hypothesis,
x2 != x1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_2) ).
cnf(premise_1,hypothesis,
nil != x1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_1) ).
cnf(i_0_16,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_17,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_18,negated_conjecture,
~ heap(sep(lseg(x2,nil),sep(next(x1,x2),sep(lseg(x1,x1),emp)))),
conclusion_1,
[final] ).
cnf(i_0_19,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_20,hypothesis,
heap(sep(lseg(x3,nil),sep(lseg(x2,nil),sep(next(x1,x2),emp)))),
premise_4,
[final] ).
cnf(i_0_21,axiom,
( heap(sep(lseg(X1,nil),X3))
| ~ heap(sep(lseg(X1,X2),sep(lseg(X2,nil),X3))) ),
unfolding_3,
[final] ).
cnf(i_0_22,axiom,
( X1 = X2
| X1 = X3
| ~ heap(sep(lseg(X1,X2),sep(lseg(X1,X3),X4))) ),
wellformedness_5,
[final] ).
cnf(i_0_23,axiom,
( X1 = X3
| ~ heap(sep(next(X1,X2),sep(lseg(X1,X3),X4))) ),
wellformedness_4,
[final] ).
cnf(i_0_24,axiom,
~ heap(sep(next(X1,X2),sep(next(X1,X3),X4))),
wellformedness_3,
[final] ).
cnf(i_0_25,axiom,
( X1 = nil
| ~ heap(sep(lseg(nil,X1),X2)) ),
wellformedness_2,
[final] ).
cnf(i_0_26,axiom,
~ heap(sep(next(nil,X1),X2)),
wellformedness_1,
[final] ).
cnf(i_0_27,axiom,
sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
associative_commutative,
[final] ).
cnf(i_0_28,axiom,
sep(lseg(X1,X1),X2) = X2,
normalization,
[final] ).
cnf(i_0_29,hypothesis,
x1 != x3,
premise_3,
[final] ).
cnf(i_0_30,hypothesis,
x2 != x1,
premise_2,
[final] ).
cnf(i_0_31,hypothesis,
nil != x1,
premise_1,
[final] ).
cnf(i_0_32,axiom,
X1 = X1 ).
cnf(i_0_33,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_34,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_35,axiom,
( X1 != X2
| sep(X1,X3) = sep(X2,X3) ) ).
cnf(i_0_36,axiom,
( X1 != X2
| sep(X3,X1) = sep(X3,X2) ) ).
cnf(i_0_37,axiom,
( X1 != X2
| ~ heap(X1)
| heap(X2) ) ).
cnf(i_0_38,plain,
X1 = sep(lseg(X2,X2),X1),
inference(scs_inference,[],[i_0_28,i_0_33]) ).
cnf(i_0_39,plain,
X1 != sep(lseg(X2,X2),X3),
inference(scs_inference,[],[i_0_29,i_0_28,i_0_33,i_0_34]) ).
cnf(i_0_40,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_41,plain,
sep(lseg(X1,nil),sep(lseg(X2,nil),sep(next(X3,X2),emp))) != sep(next(nil,X4),X5),
inference(scs_inference,[],[i_0_26,i_0_20,i_0_37]) ).
cnf(i_0_42,plain,
X1 != sep(lseg(X2,X2),X3),
inference(scs_inference,[],[i_0_30,i_0_28,i_0_34]) ).
cnf(i_0_43,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_44,plain,
nil != sep(lseg(X1,X1),X2),
inference(scs_inference,[],[i_0_31,i_0_28,i_0_34]) ).
cnf(i_0_45,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_47,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_49,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_51,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_53,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_55,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_57,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_62,plain,
sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_68,plain,
sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_79,plain,
sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_97,plain,
~ heap(sep(next(X1,X2),sep(lseg(X1,X3),X4))),
inference(scs_inference,[],[i_0_30,i_0_23]) ).
cnf(i_0_129,plain,
sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_156,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_158,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_159,plain,
~ heap(sep(next(X1,X2),sep(lseg(X1,X3),X4))),
inference(scs_inference,[],[i_0_29,i_0_23]) ).
cnf(i_0_161,plain,
sep(X1,sep(X2,sep(X3,X4))) = sep(X1,sep(X3,sep(X2,X4))),
inference(scs_inference,[],[i_0_29,i_0_27,i_0_23,i_0_36]) ).
cnf(i_0_212,plain,
sep(X1,sep(lseg(X2,X2),X3)) = sep(X1,X3),
inference(scs_inference,[],[i_0_28,i_0_36]) ).
cnf(i_0_354,plain,
X1 != nil,
inference(scs_inference,[],[i_0_31,i_0_33]) ).
cnf(i_0_355,plain,
~ heap(sep(lseg(X1,nil),sep(lseg(X1,nil),X2))),
inference(scs_inference,[],[i_0_31,i_0_33,i_0_22]) ).
cnf(i_0_438,plain,
X1 != X2,
inference(scs_inference,[],[i_0_30,i_0_33]) ).
cnf(i_0_439,plain,
~ heap(sep(lseg(X1,X2),sep(lseg(X1,X2),X3))),
inference(scs_inference,[],[i_0_30,i_0_33,i_0_22]) ).
cnf(i_0_459,plain,
X1 != X2,
inference(scs_inference,[],[i_0_29,i_0_33]) ).
cnf(i_0_460,plain,
~ heap(sep(lseg(X1,X2),sep(lseg(X1,X2),X3))),
inference(scs_inference,[],[i_0_29,i_0_33,i_0_22]) ).
cnf(i_0_512,plain,
sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_515,plain,
sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_527,plain,
sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_532,plain,
sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_541,plain,
sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_544,plain,
sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_547,plain,
sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_558,plain,
sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_561,plain,
sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_572,plain,
sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_575,plain,
sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_582,plain,
sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_584,plain,
sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_587,plain,
sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_591,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_594,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_596,plain,
~ heap(sep(lseg(X1,X1),sep(next(X2,X3),sep(next(X2,X4),X5)))),
inference(scs_inference,[],[i_0_28,i_0_24,i_0_37]) ).
cnf(i_0_597,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_599,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_604,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_606,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_609,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_616,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_617,plain,
~ heap(sep(lseg(X1,X1),sep(next(nil,X2),X3))),
inference(scs_inference,[],[i_0_28,i_0_26,i_0_37]) ).
cnf(i_0_618,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_620,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_624,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_635,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_637,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_642,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_645,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_654,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_46,plain,
X1 != sep(lseg(X2,X2),sep(lseg(X3,X3),X4)),
inference(scs_inference,[],[i_0_39,i_0_28,i_0_34]) ).
cnf(i_0_48,plain,
X1 != sep(lseg(X2,X2),sep(lseg(X3,X3),X4)),
inference(scs_inference,[],[i_0_42,i_0_28,i_0_34]) ).
cnf(i_0_50,plain,
nil != sep(lseg(X1,X1),sep(lseg(X2,X2),X3)),
inference(scs_inference,[],[i_0_44,i_0_28,i_0_34]) ).
cnf(i_0_58,plain,
lseg(X1,nil) != next(nil,X2),
inference(scs_inference,[],[i_0_41,i_0_35]) ).
cnf(i_0_59,plain,
sep(lseg(X1,nil),sep(lseg(X2,nil),sep(next(X3,X2),emp))) != sep(next(nil,X4),X5),
inference(rename_variables,[],[i_0_41]) ).
cnf(i_0_63,plain,
sep(lseg(X1,nil),sep(lseg(X2,nil),sep(next(X3,X2),emp))) != sep(next(nil,X4),X5),
inference(rename_variables,[],[i_0_41]) ).
cnf(i_0_81,plain,
X1 = sep(lseg(X2,X2),X1),
inference(rename_variables,[],[i_0_38]) ).
cnf(c_0_356,plain,
X1 != nil,
i_0_354 ).
cnf(c_0_357,plain,
$false,
inference(er,[status(thm)],[c_0_356]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW420-1 : TPTP v9.2.1. Released v5.2.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/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 06:48:18 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 108.21/77.80 % Version : CSE_E---1.7
% 108.21/77.80 % Problem : theBenchmark.p
% 108.21/77.80 % SZS status Unsatisfiable for theBenchmark.p
% 108.21/77.80 % SZS output start CNFRefutation
% See solution above
% 108.81/78.48 % Total time : 77.459s
%------------------------------------------------------------------------------