%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWW429-1 : 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 : n022.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 05:32:20 PM UTC 2026
% Result : Unsatisfiable 4.07s 3.23s
% Output : CNFRefutation 4.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 8
% Syntax : Number of clauses : 56 ( 29 unt; 25 nHn; 49 RR)
% Number of literals : 95 ( 67 equ; 21 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 : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 76 ( 14 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(premise_6,hypothesis,
heap(sep(lseg(x5,x1),sep(lseg(x7,x12),sep(lseg(x7,x8),sep(lseg(x3,x5),sep(lseg(x3,x12),sep(lseg(x4,x12),sep(lseg(x4,x7),sep(lseg(x1,x6),sep(lseg(x6,x9),sep(lseg(x6,x7),sep(lseg(x8,x11),emp)))))))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_6) ).
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(normalization,axiom,
sep(lseg(X1,X1),X2) = X2,
file('/export/starexec/sandbox/benchmark/Axioms/SWV013-0.ax',normalization) ).
cnf(premise_1,hypothesis,
x4 != x7,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_1) ).
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_3,hypothesis,
x3 != x8,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_3) ).
cnf(premise_5,hypothesis,
x5 != x9,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_5) ).
cnf(c_0_8,hypothesis,
heap(sep(lseg(x5,x1),sep(lseg(x7,x12),sep(lseg(x7,x8),sep(lseg(x3,x5),sep(lseg(x3,x12),sep(lseg(x4,x12),sep(lseg(x4,x7),sep(lseg(x1,x6),sep(lseg(x6,x9),sep(lseg(x6,x7),sep(lseg(x8,x11),emp)))))))))))),
premise_6 ).
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(x7,x12),sep(lseg(x7,x8),sep(lseg(x4,x7),sep(lseg(x4,x12),sep(lseg(x5,x1),sep(lseg(x8,x11),sep(lseg(x3,x5),sep(lseg(x3,x12),sep(lseg(x6,x7),sep(lseg(x6,x9),sep(lseg(x1,x6),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)],[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]) ).
cnf(c_0_12,hypothesis,
( x8 = x7
| x12 = x7 ),
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,
( x12 = x7
| heap(sep(lseg(x7,x12),sep(lseg(x7,x11),sep(lseg(x4,x7),sep(lseg(x4,x12),sep(lseg(x5,x1),sep(lseg(x3,x5),sep(lseg(x3,x12),sep(lseg(x6,x7),sep(lseg(x6,x9),sep(lseg(x1,x6),emp))))))))))) ),
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]) ).
cnf(c_0_15,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_16,hypothesis,
( x11 = x7
| x12 = x7 ),
inference(spm,[status(thm)],[c_0_10,c_0_14]) ).
cnf(c_0_17,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_15]) ).
cnf(c_0_18,hypothesis,
( x12 = x7
| heap(sep(lseg(x7,x12),sep(lseg(x4,x7),sep(lseg(x4,x12),sep(lseg(x5,x1),sep(lseg(x3,x5),sep(lseg(x3,x12),sep(lseg(x6,x7),sep(lseg(x6,x9),sep(lseg(x1,x6),emp)))))))))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_16]),c_0_13]) ).
cnf(c_0_19,hypothesis,
x4 != x7,
premise_1 ).
cnf(c_0_20,hypothesis,
( x12 = x7
| x12 = x4 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]) ).
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_17,c_0_15]) ).
cnf(c_0_22,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_17,c_0_9]) ).
cnf(c_0_23,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_15,c_0_15]) ).
cnf(c_0_24,hypothesis,
( x12 = x7
| heap(sep(lseg(x7,x4),sep(lseg(x4,x7),sep(lseg(x5,x1),sep(lseg(x3,x4),sep(lseg(x3,x5),sep(lseg(x6,x7),sep(lseg(x6,x9),sep(lseg(x1,x6),emp))))))))) ),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_20]),c_0_13]),c_0_19]),c_0_9]) ).
cnf(c_0_25,hypothesis,
x12 = x4,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_11]),c_0_19]) ).
cnf(c_0_26,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_27,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_22,c_0_23]) ).
cnf(c_0_28,hypothesis,
heap(sep(lseg(x7,x4),sep(lseg(x4,x7),sep(lseg(x5,x1),sep(lseg(x3,x4),sep(lseg(x3,x5),sep(lseg(x6,x7),sep(lseg(x6,x9),sep(lseg(x1,x6),emp))))))))),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_25]),c_0_19]) ).
cnf(c_0_29,plain,
( X1 = X2
| heap(sep(lseg(X3,X1),sep(lseg(X1,X2),X4)))
| ~ heap(sep(lseg(X3,X5),sep(lseg(X1,X2),sep(lseg(X5,X1),X4)))) ),
inference(spm,[status(thm)],[c_0_26,c_0_9]) ).
cnf(c_0_30,hypothesis,
( x3 = x4
| x3 = x5 ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_31,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_15,c_0_15]) ).
cnf(c_0_32,plain,
( X1 = X2
| heap(sep(lseg(X3,X1),sep(lseg(X1,X2),X4)))
| ~ heap(sep(lseg(X1,X2),sep(lseg(X5,X1),sep(lseg(X3,X5),X4)))) ),
inference(spm,[status(thm)],[c_0_29,c_0_15]) ).
cnf(c_0_33,hypothesis,
( x3 = x4
| heap(sep(lseg(x7,x4),sep(lseg(x4,x7),sep(lseg(x5,x4),sep(lseg(x5,x1),sep(lseg(x6,x7),sep(lseg(x6,x9),sep(lseg(x1,x6),emp)))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_30]),c_0_13]),c_0_31]),c_0_9]) ).
cnf(c_0_34,hypothesis,
( x3 = x4
| x5 != x4 ),
inference(ef,[status(thm)],[c_0_30]) ).
cnf(c_0_35,hypothesis,
x3 != x8,
premise_3 ).
cnf(c_0_36,hypothesis,
x8 = x7,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_25]),c_0_19]) ).
cnf(c_0_37,hypothesis,
( x3 = x4
| heap(sep(lseg(x7,x4),sep(lseg(x5,x7),sep(lseg(x5,x1),sep(lseg(x6,x7),sep(lseg(x6,x9),sep(lseg(x1,x6),emp))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_19]),c_0_31]),c_0_31]),c_0_9]) ).
cnf(c_0_38,hypothesis,
( x3 = x4
| x1 = x5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_33]),c_0_34]) ).
cnf(c_0_39,hypothesis,
x3 != x7,
inference(rw,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_40,hypothesis,
x5 != x9,
premise_5 ).
cnf(c_0_41,hypothesis,
( x3 = x4
| x6 = x7
| x9 = x6 ),
inference(spm,[status(thm)],[c_0_27,c_0_37]) ).
cnf(c_0_42,hypothesis,
( x3 = x4
| heap(sep(lseg(x7,x4),sep(lseg(x5,x7),sep(lseg(x5,x6),sep(lseg(x6,x7),sep(lseg(x6,x9),emp)))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_13]),c_0_9]),c_0_9]) ).
cnf(c_0_43,hypothesis,
( x3 = x4
| x5 != x7 ),
inference(spm,[status(thm)],[c_0_39,c_0_30]) ).
cnf(c_0_44,hypothesis,
( x6 = x7
| x3 = x4
| x6 != x5 ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_45,hypothesis,
( x3 = x4
| x6 = x5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_42]),c_0_43]) ).
cnf(c_0_46,hypothesis,
x3 = x4,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_43]) ).
cnf(c_0_47,hypothesis,
heap(sep(lseg(x7,x4),sep(lseg(x4,x7),sep(lseg(x4,x5),sep(lseg(x5,x1),sep(lseg(x6,x7),sep(lseg(x6,x9),sep(lseg(x1,x6),emp)))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_46]),c_0_46]),c_0_13]),c_0_31]),c_0_9]) ).
cnf(c_0_48,hypothesis,
x5 = x4,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_47]),c_0_19]) ).
cnf(c_0_49,hypothesis,
heap(sep(lseg(x7,x4),sep(lseg(x4,x7),sep(lseg(x4,x1),sep(lseg(x6,x7),sep(lseg(x6,x9),sep(lseg(x1,x6),emp))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_48]),c_0_48]),c_0_13]) ).
cnf(c_0_50,hypothesis,
x1 = x4,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_49]),c_0_19]) ).
cnf(c_0_51,hypothesis,
heap(sep(lseg(x7,x4),sep(lseg(x4,x7),sep(lseg(x4,x6),sep(lseg(x6,x7),sep(lseg(x6,x9),emp)))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_50]),c_0_50]),c_0_9]),c_0_9]),c_0_13]) ).
cnf(c_0_52,hypothesis,
( x6 = x7
| x9 = x6 ),
inference(spm,[status(thm)],[c_0_27,c_0_51]) ).
cnf(c_0_53,hypothesis,
x6 = x4,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_51]),c_0_19]) ).
cnf(c_0_54,hypothesis,
x9 != x4,
inference(rw,[status(thm)],[c_0_40,c_0_48]) ).
cnf(c_0_55,hypothesis,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_53]),c_0_53]),c_0_19]),c_0_54]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW429-1 : 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 : n022.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 06:48:36 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 4.07/3.23 % Version : CSE_E---1.7
% 4.07/3.23 % Problem : theBenchmark.p
% 4.07/3.23 % SZS status Unsatisfiable for theBenchmark.p
% 4.07/3.23 % SZS output start CNFRefutation
% See solution above
% 4.07/3.24 % Total time : 2.373s
%------------------------------------------------------------------------------