TSTP Solution File: SWW430-1 by E-SAT---3.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.2.0
% Problem : SWW430-1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d SAT
% Computer : n018.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 : Mon Jun 24 18:14:31 EDT 2024
% Result : Unsatisfiable 2.02s 0.76s
% Output : CNFRefutation 2.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 8
% Syntax : Number of clauses : 65 ( 34 unt; 31 nHn; 59 RR)
% Number of literals : 108 ( 69 equ; 22 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 19 ( 3 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 : 78 ( 16 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(wellformedness_5,axiom,
( X1 = X2
| X1 = X3
| ~ heap(sep(lseg(X1,X2),sep(lseg(X1,X3),X4))) ),
file('/export/starexec/sandbox2/tmp/tmp.JWX6JAAZKG/E---3.1_32704.p',wellformedness_5) ).
cnf(associative_commutative,axiom,
sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
file('/export/starexec/sandbox2/tmp/tmp.JWX6JAAZKG/E---3.1_32704.p',associative_commutative) ).
cnf(premise_6,hypothesis,
heap(sep(lseg(x5,x2),sep(lseg(x5,x7),sep(lseg(x5,x4),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x9,x10),sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
file('/export/starexec/sandbox2/tmp/tmp.JWX6JAAZKG/E---3.1_32704.p',premise_6) ).
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/tmp/tmp.JWX6JAAZKG/E---3.1_32704.p',unfolding_5) ).
cnf(normalization,axiom,
sep(lseg(X1,X1),X2) = X2,
file('/export/starexec/sandbox2/tmp/tmp.JWX6JAAZKG/E---3.1_32704.p',normalization) ).
cnf(premise_2,hypothesis,
x3 != x12,
file('/export/starexec/sandbox2/tmp/tmp.JWX6JAAZKG/E---3.1_32704.p',premise_2) ).
cnf(premise_1,hypothesis,
x3 != x11,
file('/export/starexec/sandbox2/tmp/tmp.JWX6JAAZKG/E---3.1_32704.p',premise_1) ).
cnf(premise_5,hypothesis,
x2 != x10,
file('/export/starexec/sandbox2/tmp/tmp.JWX6JAAZKG/E---3.1_32704.p',premise_5) ).
cnf(c_0_8,plain,
( X1 = X2
| X1 = X3
| ~ heap(sep(lseg(X1,X2),sep(lseg(X1,X3),X4))) ),
inference(fof_simplification,[status(thm)],[wellformedness_5]) ).
cnf(c_0_9,axiom,
sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
associative_commutative ).
cnf(c_0_10,plain,
( X1 = X2
| X1 = X3
| ~ heap(sep(lseg(X1,X2),sep(lseg(X1,X3),X4))) ),
c_0_8 ).
cnf(c_0_11,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_12,hypothesis,
heap(sep(lseg(x5,x2),sep(lseg(x5,x7),sep(lseg(x5,x4),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x9,x10),sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
premise_6 ).
cnf(c_0_13,plain,
( 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)))) ),
inference(fof_simplification,[status(thm)],[unfolding_5]) ).
cnf(c_0_14,plain,
( X1 = X2
| X1 = X3
| ~ heap(sep(X4,sep(lseg(X1,X2),sep(lseg(X1,X3),X5)))) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,hypothesis,
heap(sep(lseg(x2,x12),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),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(spm,[status(thm)],[c_0_12,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_16,plain,
( 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)))) ),
c_0_13 ).
cnf(c_0_17,hypothesis,
( x6 = x12
| x1 = x12 ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,axiom,
sep(lseg(X1,X1),X2) = X2,
normalization ).
cnf(c_0_19,plain,
( X1 = X2
| heap(sep(lseg(X3,X1),sep(lseg(X1,X2),X4)))
| ~ heap(sep(lseg(X5,X1),sep(lseg(X3,X5),sep(lseg(X1,X2),X4)))) ),
inference(spm,[status(thm)],[c_0_16,c_0_9]) ).
cnf(c_0_20,hypothesis,
( x1 = x12
| heap(sep(lseg(x2,x12),sep(lseg(x12,x2),sep(lseg(x12,x1),sep(lseg(x3,x12),sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x11,x12),sep(lseg(x11,x8),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),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(spm,[status(thm)],[c_0_15,c_0_17]),c_0_18]),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_21,hypothesis,
x3 != x12,
inference(fof_simplification,[status(thm)],[premise_2]) ).
cnf(c_0_22,hypothesis,
x3 != x11,
inference(fof_simplification,[status(thm)],[premise_1]) ).
cnf(c_0_23,hypothesis,
( x1 = x12
| heap(sep(lseg(x12,x1),sep(lseg(x3,x12),sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x11,x12),sep(lseg(x11,x8),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),emp))))))))))))))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_18]) ).
cnf(c_0_24,hypothesis,
x3 != x12,
c_0_21 ).
cnf(c_0_25,hypothesis,
x3 != x11,
c_0_22 ).
cnf(c_0_26,hypothesis,
x1 = x12,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_23]),c_0_24]),c_0_25]) ).
cnf(c_0_27,hypothesis,
heap(sep(lseg(x2,x12),sep(lseg(x12,x6),sep(lseg(x12,x9),sep(lseg(x12,x8),sep(lseg(x3,x12),sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x6,x2),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),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_15,c_0_26]),c_0_18]),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_28,hypothesis,
( x9 = x12
| x6 = x12 ),
inference(spm,[status(thm)],[c_0_14,c_0_27]) ).
cnf(c_0_29,hypothesis,
( x6 = x12
| heap(sep(lseg(x2,x12),sep(lseg(x12,x6),sep(lseg(x12,x8),sep(lseg(x12,x10),sep(lseg(x3,x12),sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x6,x2),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x4,x12),sep(lseg(x4,x8),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(spm,[status(thm)],[c_0_15,c_0_28]),c_0_26]),c_0_26]),c_0_26]),c_0_26]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_18]),c_0_18]),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_30,plain,
( X1 = X2
| X1 = X3
| ~ heap(sep(lseg(X1,X2),sep(X4,sep(X5,sep(lseg(X1,X3),X6))))) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_31,hypothesis,
( x8 = x12
| x6 = x12 ),
inference(spm,[status(thm)],[c_0_14,c_0_29]) ).
cnf(c_0_32,plain,
( X1 = X2
| X1 = X3
| ~ heap(sep(X4,sep(lseg(X1,X3),sep(X5,sep(lseg(X1,X2),X6))))) ),
inference(spm,[status(thm)],[c_0_30,c_0_9]) ).
cnf(c_0_33,plain,
sep(X1,sep(X2,sep(X3,X4))) = sep(X3,sep(X2,sep(X1,X4))),
inference(spm,[status(thm)],[c_0_9,c_0_11]) ).
cnf(c_0_34,hypothesis,
( x6 = x12
| heap(sep(lseg(x2,x12),sep(lseg(x12,x6),sep(lseg(x12,x10),sep(lseg(x3,x12),sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x11,x12),sep(lseg(x11,x6),sep(lseg(x6,x2),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x4,x12),sep(lseg(x4,x12),emp))))))))))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_31]),c_0_18]),c_0_9]) ).
cnf(c_0_35,hypothesis,
( x6 = x12
| x10 = x12 ),
inference(spm,[status(thm)],[c_0_32,c_0_29]) ).
cnf(c_0_36,plain,
( X1 = X2
| X1 = X3
| ~ heap(sep(X4,sep(X5,sep(lseg(X1,X3),sep(lseg(X1,X2),X6))))) ),
inference(spm,[status(thm)],[c_0_30,c_0_33]) ).
cnf(c_0_37,hypothesis,
( x6 = x12
| heap(sep(lseg(x2,x12),sep(lseg(x12,x6),sep(lseg(x3,x12),sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x11,x12),sep(lseg(x11,x6),sep(lseg(x6,x2),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x4,x12),sep(lseg(x4,x12),emp)))))))))))))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_18]) ).
cnf(c_0_38,hypothesis,
x6 = x12,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_25]),c_0_24]) ).
cnf(c_0_39,hypothesis,
heap(sep(lseg(x2,x12),sep(lseg(x12,x2),sep(lseg(x12,x9),sep(lseg(x12,x8),sep(lseg(x3,x12),sep(lseg(x3,x12),sep(lseg(x3,x11),sep(lseg(x11,x12),sep(lseg(x11,x8),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),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(spm,[status(thm)],[c_0_15,c_0_38]),c_0_26]),c_0_18]),c_0_26]),c_0_26]),c_0_9]),c_0_26]),c_0_18]),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_40,hypothesis,
( x9 = x12
| heap(sep(lseg(x12,x9),sep(lseg(x12,x8),sep(lseg(x3,x12),sep(lseg(x3,x12),sep(lseg(x3,x11),sep(lseg(x11,x12),sep(lseg(x11,x8),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),emp)))))))))))))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_39]),c_0_18]) ).
cnf(c_0_41,hypothesis,
x9 = x12,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_40]),c_0_24]) ).
cnf(c_0_42,hypothesis,
( x5 = x2
| x7 = x5 ),
inference(spm,[status(thm)],[c_0_10,c_0_12]) ).
cnf(c_0_43,hypothesis,
heap(sep(lseg(x2,x12),sep(lseg(x12,x2),sep(lseg(x12,x8),sep(lseg(x12,x10),sep(lseg(x3,x12),sep(lseg(x3,x12),sep(lseg(x3,x11),sep(lseg(x11,x12),sep(lseg(x11,x8),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x4,x12),sep(lseg(x4,x8),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(spm,[status(thm)],[c_0_15,c_0_41]),c_0_26]),c_0_38]),c_0_26]),c_0_38]),c_0_38]),c_0_26]),c_0_26]),c_0_38]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_18]),c_0_18]),c_0_18]),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_44,hypothesis,
( x5 = x2
| heap(sep(lseg(x5,x2),sep(lseg(x5,x5),sep(lseg(x5,x4),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x9,x10),sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_12,c_0_42]) ).
cnf(c_0_45,hypothesis,
( x8 = x12
| heap(sep(lseg(x12,x8),sep(lseg(x12,x10),sep(lseg(x3,x12),sep(lseg(x3,x12),sep(lseg(x3,x11),sep(lseg(x11,x12),sep(lseg(x11,x8),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x4,x12),sep(lseg(x4,x8),emp))))))))))))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_43]),c_0_18]) ).
cnf(c_0_46,hypothesis,
( x5 = x2
| heap(sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x9,x10),sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_44,c_0_18]) ).
cnf(c_0_47,hypothesis,
x8 = x12,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_45]),c_0_24]) ).
cnf(c_0_48,hypothesis,
( x5 = x2
| x4 = x5 ),
inference(spm,[status(thm)],[c_0_10,c_0_46]) ).
cnf(c_0_49,hypothesis,
heap(sep(lseg(x2,x12),sep(lseg(x12,x2),sep(lseg(x12,x10),sep(lseg(x3,x12),sep(lseg(x3,x12),sep(lseg(x3,x11),sep(lseg(x11,x12),sep(lseg(x11,x12),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x4,x12),sep(lseg(x4,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(spm,[status(thm)],[c_0_15,c_0_47]),c_0_26]),c_0_38]),c_0_26]),c_0_38]),c_0_38]),c_0_26]),c_0_41]),c_0_26]),c_0_38]),c_0_9]),c_0_41]),c_0_41]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_18]),c_0_18]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_18]),c_0_18]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]) ).
cnf(c_0_50,hypothesis,
( x5 = x2
| heap(sep(lseg(x5,x2),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x9,x10),sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x5,x9),sep(lseg(x5,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_48]),c_0_18]),c_0_18]) ).
cnf(c_0_51,hypothesis,
( x10 = x12
| heap(sep(lseg(x12,x10),sep(lseg(x3,x12),sep(lseg(x3,x12),sep(lseg(x3,x11),sep(lseg(x11,x12),sep(lseg(x11,x12),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x4,x12),sep(lseg(x4,x12),emp)))))))))))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_49]),c_0_18]) ).
cnf(c_0_52,hypothesis,
( x5 = x2
| heap(sep(lseg(x2,x12),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),sep(lseg(x5,x2),sep(lseg(x5,x9),sep(lseg(x5,x8),sep(lseg(x9,x10),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_50,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_53,hypothesis,
x10 = x12,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_51]),c_0_24]) ).
cnf(c_0_54,hypothesis,
( x5 = x2
| heap(sep(lseg(x2,x12),sep(lseg(x12,x2),sep(lseg(x3,x12),sep(lseg(x3,x12),sep(lseg(x3,x11),sep(lseg(x11,x12),sep(lseg(x11,x12),sep(lseg(x5,x2),sep(lseg(x5,x12),sep(lseg(x5,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(spm,[status(thm)],[c_0_52,c_0_38]),c_0_26]),c_0_18]),c_0_26]),c_0_26]),c_0_9]),c_0_26]),c_0_18]),c_0_47]),c_0_41]),c_0_47]),c_0_41]),c_0_47]),c_0_41]),c_0_53]),c_0_18]),c_0_18]),c_0_18]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]) ).
cnf(c_0_55,hypothesis,
x2 != x10,
inference(fof_simplification,[status(thm)],[premise_5]) ).
cnf(c_0_56,hypothesis,
x5 = x2,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_54]),c_0_24]) ).
cnf(c_0_57,hypothesis,
x2 != x10,
c_0_55 ).
cnf(c_0_58,hypothesis,
heap(sep(lseg(x2,x12),sep(lseg(x2,x4),sep(lseg(x2,x7),sep(lseg(x12,x2),sep(lseg(x3,x12),sep(lseg(x3,x12),sep(lseg(x3,x11),sep(lseg(x11,x12),sep(lseg(x11,x12),sep(lseg(x4,x12),sep(lseg(x4,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)],[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_15,c_0_53]),c_0_26]),c_0_38]),c_0_26]),c_0_38]),c_0_38]),c_0_47]),c_0_26]),c_0_41]),c_0_26]),c_0_47]),c_0_38]),c_0_41]),c_0_47]),c_0_41]),c_0_18]),c_0_18]),c_0_18]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_18]),c_0_18]),c_0_56]),c_0_56]),c_0_56]),c_0_18]),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_59,hypothesis,
x12 != x2,
inference(rw,[status(thm)],[c_0_57,c_0_53]) ).
cnf(c_0_60,plain,
( X1 = X2
| X1 = X3
| ~ heap(sep(lseg(X1,X2),sep(X4,sep(lseg(X1,X3),X5)))) ),
inference(spm,[status(thm)],[c_0_10,c_0_9]) ).
cnf(c_0_61,hypothesis,
x4 = x2,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_58]),c_0_59]) ).
cnf(c_0_62,hypothesis,
x7 = x2,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_58]),c_0_59]) ).
cnf(c_0_63,hypothesis,
heap(sep(lseg(x2,x12),sep(lseg(x2,x12),sep(lseg(x2,x12),sep(lseg(x12,x2),sep(lseg(x3,x12),sep(lseg(x3,x12),sep(lseg(x3,x11),sep(lseg(x11,x12),sep(lseg(x11,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)],[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_15,c_0_56]),c_0_26]),c_0_38]),c_0_26]),c_0_38]),c_0_38]),c_0_47]),c_0_26]),c_0_41]),c_0_26]),c_0_47]),c_0_38]),c_0_18]),c_0_41]),c_0_47]),c_0_41]),c_0_53]),c_0_18]),c_0_18]),c_0_18]),c_0_18]),c_0_18]),c_0_61]),c_0_62]),c_0_61]),c_0_61]),c_0_18]),c_0_18]),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_64,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_63]),c_0_59]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW430-1 : TPTP v8.2.0. Released v5.2.0.
% 0.07/0.12 % Command : run_E %s %d SAT
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Jun 19 05:43:24 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.22/0.49 Running first-order model finding
% 0.22/0.49 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.JWX6JAAZKG/E---3.1_32704.p
% 2.02/0.76 # Version: 3.2.0
% 2.02/0.76 # Preprocessing class: FSMSSMSMSSSNFFN.
% 2.02/0.76 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.02/0.76 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 2.02/0.76 # Starting new_bool_3 with 300s (1) cores
% 2.02/0.76 # Starting new_bool_1 with 300s (1) cores
% 2.02/0.76 # Starting sh5l with 300s (1) cores
% 2.02/0.76 # new_bool_3 with pid 323 completed with status 0
% 2.02/0.76 # Result found by new_bool_3
% 2.02/0.76 # Preprocessing class: FSMSSMSMSSSNFFN.
% 2.02/0.76 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.02/0.76 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 2.02/0.76 # Starting new_bool_3 with 300s (1) cores
% 2.02/0.76 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 2.02/0.76 # Search class: FGUSS-FFSF22-DFFFFFNN
% 2.02/0.76 # partial match(1): FGUSS-FFMF22-DFFFFFNN
% 2.02/0.76 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 2.02/0.76 # Starting Y1006__C12_02_nc_F1_AE_CS_SP_S2S with 80s (1) cores
% 2.02/0.76 # Y1006__C12_02_nc_F1_AE_CS_SP_S2S with pid 329 completed with status 0
% 2.02/0.76 # Result found by Y1006__C12_02_nc_F1_AE_CS_SP_S2S
% 2.02/0.76 # Preprocessing class: FSMSSMSMSSSNFFN.
% 2.02/0.76 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.02/0.76 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 2.02/0.76 # Starting new_bool_3 with 300s (1) cores
% 2.02/0.76 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 2.02/0.76 # Search class: FGUSS-FFSF22-DFFFFFNN
% 2.02/0.76 # partial match(1): FGUSS-FFMF22-DFFFFFNN
% 2.02/0.76 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 2.02/0.76 # Starting Y1006__C12_02_nc_F1_AE_CS_SP_S2S with 80s (1) cores
% 2.02/0.76 # Preprocessing time : 0.001 s
% 2.02/0.76 # Presaturation interreduction done
% 2.02/0.76
% 2.02/0.76 # Proof found!
% 2.02/0.76 # SZS status Unsatisfiable
% 2.02/0.76 # SZS output start CNFRefutation
% See solution above
% 2.02/0.76 # Parsed axioms : 18
% 2.02/0.76 # Removed by relevancy pruning/SinE : 7
% 2.02/0.76 # Initial clauses : 11
% 2.02/0.76 # Removed in clause preprocessing : 1
% 2.02/0.76 # Initial clauses in saturation : 10
% 2.02/0.76 # Processed clauses : 817
% 2.02/0.76 # ...of these trivial : 52
% 2.02/0.76 # ...subsumed : 595
% 2.02/0.76 # ...remaining for further processing : 170
% 2.02/0.76 # Other redundant clauses eliminated : 0
% 2.02/0.76 # Clauses deleted for lack of memory : 0
% 2.02/0.76 # Backward-subsumed : 25
% 2.02/0.76 # Backward-rewritten : 81
% 2.02/0.76 # Generated clauses : 7345
% 2.02/0.76 # ...of the previous two non-redundant : 7280
% 2.02/0.76 # ...aggressively subsumed : 0
% 2.02/0.76 # Contextual simplify-reflections : 1
% 2.02/0.76 # Paramodulations : 7345
% 2.02/0.76 # Factorizations : 0
% 2.02/0.76 # NegExts : 0
% 2.02/0.76 # Equation resolutions : 0
% 2.02/0.76 # Disequality decompositions : 0
% 2.02/0.76 # Total rewrite steps : 10359
% 2.02/0.76 # ...of those cached : 8766
% 2.02/0.76 # Propositional unsat checks : 0
% 2.02/0.76 # Propositional check models : 0
% 2.02/0.76 # Propositional check unsatisfiable : 0
% 2.02/0.76 # Propositional clauses : 0
% 2.02/0.76 # Propositional clauses after purity: 0
% 2.02/0.76 # Propositional unsat core size : 0
% 2.02/0.76 # Propositional preprocessing time : 0.000
% 2.02/0.76 # Propositional encoding time : 0.000
% 2.02/0.76 # Propositional solver time : 0.000
% 2.02/0.76 # Success case prop preproc time : 0.000
% 2.02/0.76 # Success case prop encoding time : 0.000
% 2.02/0.76 # Success case prop solver time : 0.000
% 2.02/0.76 # Current number of processed clauses : 54
% 2.02/0.76 # Positive orientable unit clauses : 16
% 2.02/0.76 # Positive unorientable unit clauses: 16
% 2.02/0.76 # Negative unit clauses : 4
% 2.02/0.76 # Non-unit-clauses : 18
% 2.02/0.76 # Current number of unprocessed clauses: 5982
% 2.02/0.76 # ...number of literals in the above : 10302
% 2.02/0.76 # Current number of archived formulas : 0
% 2.02/0.76 # Current number of archived clauses : 116
% 2.02/0.76 # Clause-clause subsumption calls (NU) : 4067
% 2.02/0.76 # Rec. Clause-clause subsumption calls : 1719
% 2.02/0.76 # Non-unit clause-clause subsumptions : 525
% 2.02/0.76 # Unit Clause-clause subsumption calls : 399
% 2.02/0.76 # Rewrite failures with RHS unbound : 0
% 2.02/0.76 # BW rewrite match attempts : 1352
% 2.02/0.76 # BW rewrite match successes : 661
% 2.02/0.76 # Condensation attempts : 0
% 2.02/0.76 # Condensation successes : 0
% 2.02/0.76 # Termbank termtop insertions : 184081
% 2.02/0.76 # Search garbage collected termcells : 68
% 2.02/0.76
% 2.02/0.76 # -------------------------------------------------
% 2.02/0.76 # User time : 0.231 s
% 2.02/0.76 # System time : 0.008 s
% 2.02/0.76 # Total time : 0.239 s
% 2.02/0.76 # Maximum resident set size: 1764 pages
% 2.02/0.76
% 2.02/0.76 # -------------------------------------------------
% 2.02/0.76 # User time : 0.233 s
% 2.02/0.76 # System time : 0.009 s
% 2.02/0.76 # Total time : 0.242 s
% 2.02/0.76 # Maximum resident set size: 1756 pages
% 2.02/0.76 % E---3.1 exiting
% 2.02/0.76 % E exiting
%------------------------------------------------------------------------------