%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWW434-1 : 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 : n021.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 05:32:21 PM UTC 2026
% Result : Unsatisfiable 6.10s 4.44s
% Output : CNFRefutation 6.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 47
% Number of leaves : 7
% Syntax : Number of clauses : 83 ( 27 unt; 54 nHn; 75 RR)
% Number of literals : 179 ( 130 equ; 21 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 14 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 13 con; 0-2 aty)
% Number of variables : 93 ( 15 sgn)
% Comments :
%------------------------------------------------------------------------------
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(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(premise_8,hypothesis,
heap(sep(lseg(x5,x10),sep(lseg(x13,x12),sep(lseg(x1,x7),sep(lseg(x8,x14),sep(lseg(x12,x8),sep(lseg(x2,x12),sep(lseg(x2,x11),sep(lseg(x9,x14),sep(lseg(x9,x1),sep(lseg(x3,x9),sep(lseg(x11,x13),sep(lseg(x11,x3),emp))))))))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_8) ).
cnf(premise_6,hypothesis,
x9 != x14,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_6) ).
cnf(normalization,axiom,
sep(lseg(X1,X1),X2) = X2,
file('/export/starexec/sandbox/benchmark/Axioms/SWV013-0.ax',normalization) ).
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(premise_7,hypothesis,
x13 != x14,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_7) ).
cnf(c_0_7,axiom,
sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
associative_commutative ).
cnf(c_0_8,axiom,
( X1 = X2
| X1 = X3
| ~ heap(sep(lseg(X1,X2),sep(lseg(X1,X3),X4))) ),
wellformedness_5 ).
cnf(c_0_9,plain,
sep(X1,sep(X2,sep(X3,X4))) = sep(X3,sep(X1,sep(X2,X4))),
inference(spm,[status(thm)],[c_0_7,c_0_7]) ).
cnf(c_0_10,hypothesis,
heap(sep(lseg(x5,x10),sep(lseg(x13,x12),sep(lseg(x1,x7),sep(lseg(x8,x14),sep(lseg(x12,x8),sep(lseg(x2,x12),sep(lseg(x2,x11),sep(lseg(x9,x14),sep(lseg(x9,x1),sep(lseg(x3,x9),sep(lseg(x11,x13),sep(lseg(x11,x3),emp))))))))))))),
premise_8 ).
cnf(c_0_11,plain,
( X1 = X2
| X1 = X3
| ~ heap(sep(X4,sep(lseg(X1,X3),sep(lseg(X1,X2),X5)))) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,hypothesis,
heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x9,x1),sep(lseg(x13,x12),sep(lseg(x12,x8),sep(lseg(x11,x13),sep(lseg(x11,x3),sep(lseg(x3,x9),sep(lseg(x5,x10),sep(lseg(x1,x7),sep(lseg(x2,x12),sep(lseg(x2,x11),emp))))))))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]) ).
cnf(c_0_13,hypothesis,
x9 != x14,
premise_6 ).
cnf(c_0_14,hypothesis,
x1 = x9,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]) ).
cnf(c_0_15,axiom,
sep(lseg(X1,X1),X2) = X2,
normalization ).
cnf(c_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 ).
cnf(c_0_17,hypothesis,
heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x9,x7),sep(lseg(x13,x12),sep(lseg(x12,x8),sep(lseg(x11,x13),sep(lseg(x11,x3),sep(lseg(x3,x9),sep(lseg(x5,x10),sep(lseg(x2,x12),sep(lseg(x2,x11),emp)))))))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_14]),c_0_14]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_15]) ).
cnf(c_0_18,plain,
( X1 = X2
| heap(sep(lseg(X3,X1),sep(lseg(X1,X2),sep(X4,X5))))
| ~ heap(sep(lseg(X3,X6),sep(lseg(X1,X2),sep(X4,sep(lseg(X6,X1),X5))))) ),
inference(spm,[status(thm)],[c_0_16,c_0_9]) ).
cnf(c_0_19,hypothesis,
x7 = x9,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_17]),c_0_13]) ).
cnf(c_0_20,plain,
( X1 = X2
| X1 = X3
| ~ heap(sep(X4,sep(lseg(X1,X2),sep(X5,sep(lseg(X1,X3),X6))))) ),
inference(spm,[status(thm)],[c_0_11,c_0_7]) ).
cnf(c_0_21,plain,
sep(X1,sep(X2,sep(X3,sep(X4,X5)))) = sep(X3,sep(X2,sep(X4,sep(X1,X5)))),
inference(spm,[status(thm)],[c_0_9,c_0_9]) ).
cnf(c_0_22,plain,
( X1 = X2
| heap(sep(lseg(X3,X1),sep(lseg(X1,X2),sep(X4,X5))))
| ~ heap(sep(lseg(X1,X2),sep(X4,sep(lseg(X3,X6),sep(lseg(X6,X1),X5))))) ),
inference(spm,[status(thm)],[c_0_18,c_0_9]) ).
cnf(c_0_23,hypothesis,
heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x13,x12),sep(lseg(x12,x8),sep(lseg(x11,x13),sep(lseg(x11,x3),sep(lseg(x3,x9),sep(lseg(x5,x10),sep(lseg(x2,x12),sep(lseg(x2,x11),emp))))))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_19]),c_0_15]) ).
cnf(c_0_24,plain,
sep(X1,sep(X2,sep(X3,sep(X4,sep(X5,X6))))) = sep(X3,sep(X1,sep(X4,sep(X5,sep(X2,X6))))),
inference(spm,[status(thm)],[c_0_9,c_0_9]) ).
cnf(c_0_25,plain,
sep(X1,sep(X2,sep(X3,sep(X4,X5)))) = sep(X2,sep(X1,sep(X4,sep(X3,X5)))),
inference(spm,[status(thm)],[c_0_9,c_0_9]) ).
cnf(c_0_26,plain,
( X1 = X2
| X1 = X3
| ~ heap(sep(X4,sep(X5,sep(X6,sep(lseg(X1,X3),sep(lseg(X1,X2),X7)))))) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_27,hypothesis,
( x8 = x14
| heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x13,x8),sep(lseg(x11,x13),sep(lseg(x11,x3),sep(lseg(x3,x9),sep(lseg(x5,x10),sep(lseg(x2,x12),sep(lseg(x2,x11),emp)))))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]),c_0_25]),c_0_25]),c_0_7]),c_0_25]),c_0_25]),c_0_7]),c_0_25]),c_0_25]),c_0_25]),c_0_7]),c_0_25]),c_0_25]),c_0_25]),c_0_7]) ).
cnf(c_0_28,hypothesis,
( x8 = x14
| x11 = x13
| x3 = x11 ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_29,hypothesis,
( x11 = x13
| x8 = x14
| heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x13,x8),sep(lseg(x11,x9),sep(lseg(x11,x13),sep(lseg(x5,x10),sep(lseg(x2,x12),sep(lseg(x2,x11),emp))))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_15]),c_0_25]),c_0_7]) ).
cnf(c_0_30,hypothesis,
( x8 = x14
| x11 = x9
| x11 = x13 ),
inference(spm,[status(thm)],[c_0_26,c_0_29]) ).
cnf(c_0_31,plain,
( X1 = X2
| X1 = X3
| ~ heap(sep(X4,sep(X5,sep(lseg(X1,X2),sep(lseg(X1,X3),X6))))) ),
inference(spm,[status(thm)],[c_0_11,c_0_9]) ).
cnf(c_0_32,hypothesis,
( x11 = x9
| x8 = x14
| heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x13,x8),sep(lseg(x13,x3),sep(lseg(x3,x9),sep(lseg(x5,x10),sep(lseg(x2,x13),sep(lseg(x2,x12),emp))))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_30]),c_0_15]),c_0_7]) ).
cnf(c_0_33,hypothesis,
( x8 = x14
| x11 = x9
| x3 = x13
| x13 = x8 ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_34,hypothesis,
( x13 = x8
| x8 = x14
| x11 = x9
| heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x13,x8),sep(lseg(x13,x9),sep(lseg(x5,x10),sep(lseg(x2,x13),sep(lseg(x2,x12),emp)))))))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_15]) ).
cnf(c_0_35,hypothesis,
( x11 = x9
| x8 = x14
| x13 != x9 ),
inference(ef,[status(thm)],[c_0_30]) ).
cnf(c_0_36,hypothesis,
( x11 = x9
| x8 = x14
| x13 = x8 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_34]),c_0_35]) ).
cnf(c_0_37,hypothesis,
( x13 = x8
| x8 = x14
| heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x9,x13),sep(lseg(x9,x3),sep(lseg(x13,x8),sep(lseg(x3,x9),sep(lseg(x5,x10),sep(lseg(x2,x9),sep(lseg(x2,x12),emp)))))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_36]),c_0_7]),c_0_24]),c_0_25]),c_0_7]),c_0_25]),c_0_7]),c_0_25]),c_0_25]),c_0_7]),c_0_25]),c_0_25]),c_0_7]) ).
cnf(c_0_38,hypothesis,
( x8 = x14
| x13 = x8
| x3 = x9 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_37]),c_0_13]) ).
cnf(c_0_39,hypothesis,
( x13 = x8
| x8 = x14
| x13 = x9
| heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x9,x13),sep(lseg(x13,x8),sep(lseg(x5,x10),sep(lseg(x2,x9),sep(lseg(x2,x12),emp)))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_36]),c_0_15]),c_0_7]),c_0_25]),c_0_7]) ).
cnf(c_0_40,hypothesis,
( x8 = x14
| x13 = x8
| heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x9,x13),sep(lseg(x13,x8),sep(lseg(x5,x10),sep(lseg(x2,x9),sep(lseg(x2,x12),emp)))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_15]),c_0_15]) ).
cnf(c_0_41,hypothesis,
( x8 = x14
| x13 = x8
| x13 = x9 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_39]),c_0_13]) ).
cnf(c_0_42,hypothesis,
( x13 = x8
| x8 = x14
| heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x9,x8),sep(lseg(x5,x10),sep(lseg(x2,x9),sep(lseg(x2,x12),emp))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_40]),c_0_24]),c_0_7]),c_0_25]),c_0_7]),c_0_25]),c_0_7]),c_0_25]),c_0_25]),c_0_7]) ).
cnf(c_0_43,hypothesis,
( x13 = x8
| x8 = x14
| x9 != x8 ),
inference(ef,[status(thm)],[c_0_41]) ).
cnf(c_0_44,hypothesis,
( x8 = x14
| x13 = x8 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_42]),c_0_13]),c_0_43]) ).
cnf(c_0_45,hypothesis,
( x8 = x14
| x11 = x8
| heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x11,x8),sep(lseg(x11,x9),sep(lseg(x5,x10),sep(lseg(x2,x12),sep(lseg(x2,x11),emp)))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_44]),c_0_15]),c_0_25]),c_0_7]) ).
cnf(c_0_46,hypothesis,
( x8 = x14
| x11 = x9
| x11 = x8 ),
inference(spm,[status(thm)],[c_0_31,c_0_45]) ).
cnf(c_0_47,hypothesis,
( x11 = x8
| x8 = x14
| x9 != x8 ),
inference(ef,[status(thm)],[c_0_46]) ).
cnf(c_0_48,hypothesis,
( x11 = x8
| x8 = x14
| heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x9,x8),sep(lseg(x5,x10),sep(lseg(x2,x9),sep(lseg(x2,x12),emp))))))) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_7]),c_0_15]),c_0_47]) ).
cnf(c_0_49,plain,
( X1 = X2
| heap(sep(lseg(X3,X1),sep(lseg(X1,X2),sep(X4,X5))))
| ~ heap(sep(X4,sep(lseg(X3,X6),sep(lseg(X1,X2),sep(lseg(X6,X1),X5))))) ),
inference(spm,[status(thm)],[c_0_18,c_0_9]) ).
cnf(c_0_50,hypothesis,
( x8 = x14
| x11 = x9
| heap(sep(lseg(x8,x14),sep(lseg(x8,x3),sep(lseg(x9,x14),sep(lseg(x3,x9),sep(lseg(x5,x10),sep(lseg(x2,x8),sep(lseg(x2,x12),emp)))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_44]),c_0_15]),c_0_25]),c_0_25]),c_0_7]) ).
cnf(c_0_51,hypothesis,
( x8 = x14
| heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x11,x8),sep(lseg(x11,x3),sep(lseg(x3,x9),sep(lseg(x5,x10),sep(lseg(x2,x12),sep(lseg(x2,x11),emp))))))))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_44]),c_0_15]) ).
cnf(c_0_52,hypothesis,
( x8 = x14
| x11 = x8 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_48]),c_0_13]),c_0_47]) ).
cnf(c_0_53,hypothesis,
( x11 = x9
| x8 = x14
| heap(sep(lseg(x8,x14),sep(lseg(x8,x9),sep(lseg(x9,x14),sep(lseg(x5,x10),sep(lseg(x2,x8),sep(lseg(x2,x12),emp))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_13]),c_0_25]),c_0_7]),c_0_25]),c_0_25]),c_0_7]) ).
cnf(c_0_54,hypothesis,
( x8 = x14
| x11 = x9
| x9 != x8 ),
inference(spm,[status(thm)],[c_0_35,c_0_44]) ).
cnf(c_0_55,hypothesis,
( x8 = x14
| heap(sep(lseg(x8,x14),sep(lseg(x8,x3),sep(lseg(x9,x14),sep(lseg(x3,x9),sep(lseg(x5,x10),sep(lseg(x2,x8),sep(lseg(x2,x12),emp)))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_15]),c_0_7]),c_0_25]),c_0_25]),c_0_7]) ).
cnf(c_0_56,hypothesis,
( x11 = x9
| x8 = x14 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_53]),c_0_54]) ).
cnf(c_0_57,hypothesis,
( x8 = x14
| heap(sep(lseg(x8,x14),sep(lseg(x8,x9),sep(lseg(x9,x14),sep(lseg(x5,x10),sep(lseg(x2,x8),sep(lseg(x2,x12),emp))))))) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_55]),c_0_25]),c_0_7]),c_0_25]),c_0_25]),c_0_7]),c_0_13]) ).
cnf(c_0_58,hypothesis,
( x9 = x8
| x8 = x14 ),
inference(spm,[status(thm)],[c_0_52,c_0_56]) ).
cnf(c_0_59,plain,
( X1 = X2
| ~ heap(sep(lseg(X1,X2),sep(lseg(X1,X2),X3))) ),
inference(ef,[status(thm)],[c_0_8]) ).
cnf(c_0_60,hypothesis,
x8 = x14,
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_15]),c_0_59]) ).
cnf(c_0_61,hypothesis,
heap(sep(lseg(x9,x14),sep(lseg(x13,x12),sep(lseg(x12,x14),sep(lseg(x11,x13),sep(lseg(x11,x3),sep(lseg(x3,x9),sep(lseg(x5,x10),sep(lseg(x2,x12),sep(lseg(x2,x11),emp)))))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_60]),c_0_60]),c_0_15]) ).
cnf(c_0_62,hypothesis,
( x11 = x13
| x3 = x11 ),
inference(spm,[status(thm)],[c_0_26,c_0_61]) ).
cnf(c_0_63,hypothesis,
( x11 = x13
| heap(sep(lseg(x9,x14),sep(lseg(x13,x12),sep(lseg(x12,x14),sep(lseg(x11,x9),sep(lseg(x11,x13),sep(lseg(x5,x10),sep(lseg(x2,x12),sep(lseg(x2,x11),emp))))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_15]),c_0_25]),c_0_7]) ).
cnf(c_0_64,hypothesis,
( x11 = x9
| x11 = x13 ),
inference(spm,[status(thm)],[c_0_26,c_0_63]) ).
cnf(c_0_65,hypothesis,
( x11 = x9
| heap(sep(lseg(x9,x14),sep(lseg(x13,x12),sep(lseg(x13,x3),sep(lseg(x12,x14),sep(lseg(x3,x9),sep(lseg(x5,x10),sep(lseg(x2,x13),sep(lseg(x2,x12),emp))))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_64]),c_0_15]),c_0_7]),c_0_25]),c_0_25]),c_0_7]) ).
cnf(c_0_66,hypothesis,
( x11 = x9
| x12 = x13
| x3 = x13 ),
inference(spm,[status(thm)],[c_0_11,c_0_65]) ).
cnf(c_0_67,hypothesis,
( x12 = x13
| x11 = x9
| heap(sep(lseg(x9,x14),sep(lseg(x13,x9),sep(lseg(x13,x12),sep(lseg(x12,x14),sep(lseg(x5,x10),sep(lseg(x2,x13),sep(lseg(x2,x12),emp)))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_15]),c_0_25]),c_0_7]),c_0_25]),c_0_25]),c_0_7]) ).
cnf(c_0_68,hypothesis,
( x11 = x9
| x13 != x9 ),
inference(ef,[status(thm)],[c_0_64]) ).
cnf(c_0_69,hypothesis,
( x11 = x9
| x12 = x13 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_67]),c_0_68]) ).
cnf(c_0_70,hypothesis,
( x12 = x13
| x13 = x9
| heap(sep(lseg(x9,x14),sep(lseg(x9,x13),sep(lseg(x13,x12),sep(lseg(x12,x14),sep(lseg(x5,x10),sep(lseg(x2,x9),sep(lseg(x2,x12),emp)))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_69]),c_0_15]),c_0_7]),c_0_25]),c_0_7]),c_0_25]),c_0_25]),c_0_7]) ).
cnf(c_0_71,hypothesis,
( x12 = x13
| x13 = x9 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_70]),c_0_13]) ).
cnf(c_0_72,hypothesis,
( x11 = x9
| heap(sep(lseg(x9,x14),sep(lseg(x13,x14),sep(lseg(x13,x3),sep(lseg(x3,x9),sep(lseg(x5,x10),sep(lseg(x2,x13),sep(lseg(x2,x13),emp)))))))) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_71]),c_0_15]),c_0_25]),c_0_25]),c_0_68]) ).
cnf(c_0_73,hypothesis,
( x11 = x9
| heap(sep(lseg(x9,x14),sep(lseg(x13,x14),sep(lseg(x13,x9),sep(lseg(x5,x10),sep(lseg(x2,x13),sep(lseg(x2,x13),emp))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_72]),c_0_13]),c_0_24]),c_0_7]),c_0_25]),c_0_25]),c_0_7]),c_0_25]),c_0_25]) ).
cnf(c_0_74,hypothesis,
x13 != x14,
premise_7 ).
cnf(c_0_75,hypothesis,
( x13 = x9
| x11 = x13
| heap(sep(lseg(x9,x14),sep(lseg(x13,x14),sep(lseg(x11,x9),sep(lseg(x11,x13),sep(lseg(x5,x10),sep(lseg(x2,x13),sep(lseg(x2,x11),emp)))))))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_71]),c_0_15]) ).
cnf(c_0_76,hypothesis,
x11 = x9,
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_73]),c_0_74]),c_0_68]) ).
cnf(c_0_77,hypothesis,
( x13 = x9
| heap(sep(lseg(x9,x14),sep(lseg(x9,x13),sep(lseg(x13,x14),sep(lseg(x5,x10),sep(lseg(x2,x9),sep(lseg(x2,x13),emp))))))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_75,c_0_76]),c_0_76]),c_0_76]),c_0_76]),c_0_7]),c_0_15]),c_0_25]),c_0_7])]) ).
cnf(c_0_78,hypothesis,
x13 = x9,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_77]),c_0_13]) ).
cnf(c_0_79,hypothesis,
heap(sep(lseg(x9,x14),sep(lseg(x9,x12),sep(lseg(x9,x3),sep(lseg(x12,x14),sep(lseg(x3,x9),sep(lseg(x5,x10),sep(lseg(x2,x9),sep(lseg(x2,x12),emp))))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_76]),c_0_76]),c_0_76]),c_0_7]),c_0_24]),c_0_25]),c_0_7]),c_0_25]),c_0_7]),c_0_25]),c_0_25]),c_0_7]),c_0_25]),c_0_25]),c_0_7]),c_0_24]),c_0_25]),c_0_7]),c_0_25]),c_0_25]),c_0_7]),c_0_25]),c_0_25]),c_0_7]),c_0_25]),c_0_25]),c_0_25]),c_0_7]),c_0_78]),c_0_78]),c_0_25]),c_0_25]),c_0_7]),c_0_15]) ).
cnf(c_0_80,hypothesis,
x12 = x9,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_79]),c_0_13]) ).
cnf(c_0_81,hypothesis,
heap(sep(lseg(x9,x14),sep(lseg(x9,x14),sep(lseg(x9,x3),sep(lseg(x3,x9),sep(lseg(x5,x10),sep(lseg(x2,x9),sep(lseg(x2,x9),emp)))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_80]),c_0_80]),c_0_80]),c_0_25]),c_0_25]),c_0_15]) ).
cnf(c_0_82,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_81]),c_0_13]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW434-1 : 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
% 0.16/0.34 % Computer : n021.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Tue May 5 06:49:55 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 6.10/4.44 % Version : CSE_E---1.7
% 6.10/4.44 % Problem : theBenchmark.p
% 6.10/4.44 % SZS status Unsatisfiable for theBenchmark.p
% 6.10/4.44 % SZS output start CNFRefutation
% See solution above
% 6.10/4.46 % Total time : 3.373s
%------------------------------------------------------------------------------