%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWW442-1 : 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 : n016.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 4.03s 3.22s
% Output : CNFRefutation 4.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 8
% Syntax : Number of clauses : 44 ( 28 unt; 16 nHn; 36 RR)
% Number of literals : 67 ( 47 equ; 15 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 20 ( 3 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 17 con; 0-2 aty)
% Number of variables : 67 ( 16 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(premise_29,hypothesis,
heap(sep(lseg(x5,x14),sep(lseg(x13,x15),sep(lseg(x13,x12),sep(lseg(x13,x2),sep(lseg(x10,x11),sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x17,x10),sep(lseg(x2,x16),sep(lseg(x2,x6),sep(lseg(x9,x15),sep(lseg(x7,x12),sep(lseg(x7,x13),sep(lseg(x11,x9),emp))))))))))))))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_29) ).
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(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(normalization,axiom,
sep(lseg(X1,X1),X2) = X2,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax',normalization) ).
cnf(premise_14,hypothesis,
x2 != x6,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_14) ).
cnf(premise_1,hypothesis,
x6 != x13,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_1) ).
cnf(premise_21,hypothesis,
x4 != x11,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_21) ).
cnf(premise_23,hypothesis,
x4 != x13,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_23) ).
cnf(c_0_8,hypothesis,
heap(sep(lseg(x5,x14),sep(lseg(x13,x15),sep(lseg(x13,x12),sep(lseg(x13,x2),sep(lseg(x10,x11),sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x17,x10),sep(lseg(x2,x16),sep(lseg(x2,x6),sep(lseg(x9,x15),sep(lseg(x7,x12),sep(lseg(x7,x13),sep(lseg(x11,x9),emp))))))))))))))))))),
premise_29 ).
cnf(c_0_9,axiom,
sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
associative_commutative ).
cnf(c_0_10,axiom,
( X1 = X2
| X1 = X3
| ~ heap(sep(lseg(X1,X2),sep(lseg(X1,X3),X4))) ),
wellformedness_5 ).
cnf(c_0_11,hypothesis,
heap(sep(lseg(x13,x2),sep(lseg(x13,x15),sep(lseg(x13,x12),sep(lseg(x11,x9),sep(lseg(x2,x16),sep(lseg(x2,x6),sep(lseg(x15,x16),sep(lseg(x10,x11),sep(lseg(x4,x11),sep(lseg(x4,x15),sep(lseg(x17,x10),sep(lseg(x9,x15),sep(lseg(x7,x13),sep(lseg(x7,x12),sep(lseg(x5,x14),sep(lseg(x18,x11),sep(lseg(x18,x10),sep(lseg(x1,x5),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)],[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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]) ).
cnf(c_0_12,hypothesis,
( x15 = x13
| x2 = x13 ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_13,axiom,
sep(lseg(X1,X1),X2) = X2,
normalization ).
cnf(c_0_14,hypothesis,
( x2 = x13
| heap(sep(lseg(x13,x2),sep(lseg(x13,x12),sep(lseg(x13,x16),sep(lseg(x11,x9),sep(lseg(x2,x16),sep(lseg(x2,x6),sep(lseg(x10,x11),sep(lseg(x4,x13),sep(lseg(x4,x11),sep(lseg(x17,x10),sep(lseg(x9,x13),sep(lseg(x7,x13),sep(lseg(x7,x12),sep(lseg(x5,x14),sep(lseg(x18,x11),sep(lseg(x18,x10),sep(lseg(x1,x5),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_11,c_0_12]),c_0_13]),c_0_9]),c_0_9]),c_0_9]),c_0_9]) ).
cnf(c_0_15,hypothesis,
( x12 = x13
| x2 = x13 ),
inference(spm,[status(thm)],[c_0_10,c_0_14]) ).
cnf(c_0_16,plain,
sep(X1,sep(X2,sep(X3,X4))) = sep(X3,sep(X1,sep(X2,X4))),
inference(spm,[status(thm)],[c_0_9,c_0_9]) ).
cnf(c_0_17,hypothesis,
( x2 = x13
| heap(sep(lseg(x13,x2),sep(lseg(x13,x16),sep(lseg(x11,x9),sep(lseg(x2,x16),sep(lseg(x2,x6),sep(lseg(x10,x11),sep(lseg(x4,x13),sep(lseg(x4,x11),sep(lseg(x17,x10),sep(lseg(x9,x13),sep(lseg(x7,x13),sep(lseg(x7,x13),sep(lseg(x5,x14),sep(lseg(x18,x11),sep(lseg(x18,x10),sep(lseg(x1,x5),emp))))))))))))))))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_13]) ).
cnf(c_0_18,plain,
( X1 = X2
| X1 = X3
| ~ heap(sep(X4,sep(lseg(X1,X3),sep(lseg(X1,X2),X5)))) ),
inference(spm,[status(thm)],[c_0_10,c_0_16]) ).
cnf(c_0_19,hypothesis,
( x16 = x13
| x2 = x13 ),
inference(spm,[status(thm)],[c_0_10,c_0_17]) ).
cnf(c_0_20,hypothesis,
( x15 = x13
| x12 = x13 ),
inference(spm,[status(thm)],[c_0_18,c_0_11]) ).
cnf(c_0_21,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_18,c_0_16]) ).
cnf(c_0_22,hypothesis,
( x2 = x13
| heap(sep(lseg(x13,x2),sep(lseg(x11,x9),sep(lseg(x2,x13),sep(lseg(x2,x6),sep(lseg(x10,x11),sep(lseg(x4,x13),sep(lseg(x4,x11),sep(lseg(x17,x10),sep(lseg(x9,x13),sep(lseg(x7,x13),sep(lseg(x7,x13),sep(lseg(x5,x14),sep(lseg(x18,x11),sep(lseg(x18,x10),sep(lseg(x1,x5),emp)))))))))))))))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_19]),c_0_13]) ).
cnf(c_0_23,hypothesis,
x2 != x6,
premise_14 ).
cnf(c_0_24,hypothesis,
( x15 = x13
| heap(sep(lseg(x13,x2),sep(lseg(x13,x15),sep(lseg(x11,x9),sep(lseg(x2,x16),sep(lseg(x2,x6),sep(lseg(x15,x16),sep(lseg(x10,x11),sep(lseg(x4,x11),sep(lseg(x4,x15),sep(lseg(x17,x10),sep(lseg(x9,x15),sep(lseg(x7,x13),sep(lseg(x7,x13),sep(lseg(x5,x14),sep(lseg(x18,x11),sep(lseg(x18,x10),sep(lseg(x1,x5),emp)))))))))))))))))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_20]),c_0_13]) ).
cnf(c_0_25,hypothesis,
x2 = x13,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]) ).
cnf(c_0_26,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_16,c_0_16]) ).
cnf(c_0_27,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_16,c_0_16]) ).
cnf(c_0_28,plain,
( X1 = X2
| X1 = X3
| ~ heap(sep(lseg(X1,X3),sep(X4,sep(lseg(X1,X2),X5)))) ),
inference(spm,[status(thm)],[c_0_10,c_0_9]) ).
cnf(c_0_29,hypothesis,
( x15 = x13
| heap(sep(lseg(x13,x15),sep(lseg(x13,x16),sep(lseg(x13,x6),sep(lseg(x11,x9),sep(lseg(x15,x16),sep(lseg(x10,x11),sep(lseg(x4,x11),sep(lseg(x4,x15),sep(lseg(x17,x10),sep(lseg(x9,x15),sep(lseg(x7,x13),sep(lseg(x7,x13),sep(lseg(x5,x14),sep(lseg(x18,x11),sep(lseg(x18,x10),sep(lseg(x1,x5),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)],[c_0_24,c_0_25]),c_0_25]),c_0_25]),c_0_26]),c_0_27]),c_0_27]),c_0_27]),c_0_27]),c_0_27]),c_0_27]),c_0_27]),c_0_27]),c_0_9]),c_0_27]),c_0_27]),c_0_27]),c_0_27]),c_0_27]),c_0_27]),c_0_27]),c_0_27]),c_0_27]),c_0_27]),c_0_9]),c_0_13]) ).
cnf(c_0_30,hypothesis,
x6 != x13,
premise_1 ).
cnf(c_0_31,hypothesis,
heap(sep(lseg(x13,x15),sep(lseg(x13,x12),sep(lseg(x13,x16),sep(lseg(x13,x6),sep(lseg(x11,x9),sep(lseg(x15,x16),sep(lseg(x10,x11),sep(lseg(x4,x11),sep(lseg(x4,x15),sep(lseg(x17,x10),sep(lseg(x9,x15),sep(lseg(x7,x13),sep(lseg(x7,x12),sep(lseg(x5,x14),sep(lseg(x18,x11),sep(lseg(x18,x10),sep(lseg(x1,x5),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)],[c_0_11,c_0_25]),c_0_25]),c_0_25]),c_0_26]),c_0_27]),c_0_27]),c_0_27]),c_0_27]),c_0_27]),c_0_9]),c_0_27]),c_0_27]),c_0_27]),c_0_27]),c_0_9]),c_0_27]),c_0_27]),c_0_27]),c_0_27]),c_0_27]),c_0_27]),c_0_9]),c_0_27]),c_0_27]),c_0_27]),c_0_27]),c_0_27]),c_0_9]),c_0_13]) ).
cnf(c_0_32,hypothesis,
x15 = x13,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]) ).
cnf(c_0_33,hypothesis,
heap(sep(lseg(x13,x12),sep(lseg(x13,x16),sep(lseg(x13,x16),sep(lseg(x13,x6),sep(lseg(x11,x9),sep(lseg(x10,x11),sep(lseg(x4,x13),sep(lseg(x4,x11),sep(lseg(x17,x10),sep(lseg(x9,x13),sep(lseg(x7,x13),sep(lseg(x7,x12),sep(lseg(x5,x14),sep(lseg(x18,x11),sep(lseg(x18,x10),sep(lseg(x1,x5),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)],[c_0_31,c_0_32]),c_0_32]),c_0_32]),c_0_32]),c_0_9]),c_0_27]),c_0_27]),c_0_27]),c_0_27]),c_0_9]),c_0_27]),c_0_27]),c_0_9]),c_0_13]) ).
cnf(c_0_34,hypothesis,
x16 = x13,
inference(spm,[status(thm)],[c_0_18,c_0_33]) ).
cnf(c_0_35,hypothesis,
heap(sep(lseg(x13,x12),sep(lseg(x13,x6),sep(lseg(x11,x9),sep(lseg(x10,x11),sep(lseg(x4,x13),sep(lseg(x4,x11),sep(lseg(x17,x10),sep(lseg(x9,x13),sep(lseg(x7,x13),sep(lseg(x7,x12),sep(lseg(x5,x14),sep(lseg(x18,x11),sep(lseg(x18,x10),sep(lseg(x1,x5),emp))))))))))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_34]),c_0_34]),c_0_13]),c_0_13]) ).
cnf(c_0_36,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_18,c_0_9]) ).
cnf(c_0_37,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_16,c_0_16]) ).
cnf(c_0_38,hypothesis,
x12 = x13,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_35]),c_0_30]) ).
cnf(c_0_39,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_36,c_0_37]) ).
cnf(c_0_40,hypothesis,
heap(sep(lseg(x13,x6),sep(lseg(x11,x9),sep(lseg(x10,x11),sep(lseg(x4,x13),sep(lseg(x4,x11),sep(lseg(x17,x10),sep(lseg(x9,x13),sep(lseg(x7,x13),sep(lseg(x7,x13),sep(lseg(x5,x14),sep(lseg(x18,x11),sep(lseg(x18,x10),sep(lseg(x1,x5),emp)))))))))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_38]),c_0_38]),c_0_13]) ).
cnf(c_0_41,hypothesis,
x4 != x11,
premise_21 ).
cnf(c_0_42,hypothesis,
x4 != x13,
premise_23 ).
cnf(c_0_43,hypothesis,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]),c_0_42]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW442-1 : 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
% 0.16/0.33 % Computer : n016.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 06:49:51 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 4.03/3.22 % Version : CSE_E---1.7
% 4.03/3.22 % Problem : theBenchmark.p
% 4.03/3.22 % SZS status Unsatisfiable for theBenchmark.p
% 4.03/3.22 % SZS output start CNFRefutation
% See solution above
% 4.03/3.23 % Total time : 2.371s
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