TSTP Solution File: SWW448-1 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SWW448-1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n010.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 20:09:25 EDT 2023
% Result : Unsatisfiable 464.47s 59.08s
% Output : CNFRefutation 464.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 8
% Syntax : Number of clauses : 88 ( 31 unt; 49 nHn; 78 RR)
% Number of literals : 266 ( 172 equ; 42 neg)
% Maximal clause size : 10 ( 3 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 11 con; 0-2 aty)
% Number of variables : 277 ( 74 sgn)
% Comments :
%------------------------------------------------------------------------------
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/sandbox/tmp/tmp.KcIo7nPUfv/E---3.1_19333.p',unfolding_2) ).
cnf(normalization,axiom,
sep(lseg(X1,X1),X2) = X2,
file('/export/starexec/sandbox/tmp/tmp.KcIo7nPUfv/E---3.1_19333.p',normalization) ).
cnf(associative_commutative,axiom,
sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
file('/export/starexec/sandbox/tmp/tmp.KcIo7nPUfv/E---3.1_19333.p',associative_commutative) ).
cnf(premise_1,hypothesis,
heap(sep(next(x5,x10),sep(lseg(x9,x7),sep(next(x2,x7),sep(next(x4,x7),sep(next(x6,x4),sep(next(x7,x3),sep(next(x1,x2),sep(next(x10,x1),sep(next(x8,x4),sep(next(x3,x5),emp))))))))))),
file('/export/starexec/sandbox/tmp/tmp.KcIo7nPUfv/E---3.1_19333.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/tmp/tmp.KcIo7nPUfv/E---3.1_19333.p',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/sandbox/tmp/tmp.KcIo7nPUfv/E---3.1_19333.p',unfolding_4) ).
cnf(wellformedness_3,axiom,
~ heap(sep(next(X1,X2),sep(next(X1,X3),X4))),
file('/export/starexec/sandbox/tmp/tmp.KcIo7nPUfv/E---3.1_19333.p',wellformedness_3) ).
cnf(conclusion_1,negated_conjecture,
~ heap(sep(lseg(x3,x5),sep(lseg(x8,x4),sep(lseg(x9,x7),sep(lseg(x6,x7),sep(lseg(x5,x3),emp)))))),
file('/export/starexec/sandbox/tmp/tmp.KcIo7nPUfv/E---3.1_19333.p',conclusion_1) ).
cnf(c_0_8,axiom,
( X1 = X2
| heap(sep(lseg(X1,X3),X4))
| ~ heap(sep(next(X1,X2),sep(lseg(X2,X3),X4))) ),
unfolding_2 ).
cnf(c_0_9,axiom,
sep(lseg(X1,X1),X2) = X2,
normalization ).
cnf(c_0_10,axiom,
sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
associative_commutative ).
cnf(c_0_11,plain,
( X1 = X2
| heap(sep(lseg(X1,X2),X3))
| ~ heap(sep(next(X1,X2),X3)) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,plain,
sep(X1,sep(X2,sep(X3,X4))) = sep(X3,sep(X1,sep(X2,X4))),
inference(spm,[status(thm)],[c_0_10,c_0_10]) ).
cnf(c_0_13,plain,
( X1 = X2
| heap(sep(lseg(X1,X2),sep(X3,sep(X4,X5))))
| ~ heap(sep(X3,sep(X4,sep(next(X1,X2),X5)))) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_14,plain,
sep(X1,sep(X2,sep(X3,sep(X4,X5)))) = sep(X4,sep(X1,sep(X2,sep(X3,X5)))),
inference(spm,[status(thm)],[c_0_10,c_0_12]) ).
cnf(c_0_15,hypothesis,
heap(sep(next(x5,x10),sep(lseg(x9,x7),sep(next(x2,x7),sep(next(x4,x7),sep(next(x6,x4),sep(next(x7,x3),sep(next(x1,x2),sep(next(x10,x1),sep(next(x8,x4),sep(next(x3,x5),emp))))))))))),
premise_1 ).
cnf(c_0_16,plain,
( X1 = X2
| heap(sep(lseg(X1,X3),X4))
| ~ heap(sep(lseg(X2,X3),sep(next(X1,X2),X4))) ),
inference(spm,[status(thm)],[c_0_8,c_0_10]) ).
cnf(c_0_17,plain,
sep(X1,sep(X2,sep(X3,X4))) = sep(X3,sep(X2,sep(X1,X4))),
inference(spm,[status(thm)],[c_0_10,c_0_12]) ).
cnf(c_0_18,plain,
( X1 = X2
| heap(sep(lseg(X1,X2),sep(X3,sep(X4,sep(X5,sep(X6,sep(X7,X8)))))))
| ~ heap(sep(X3,sep(X4,sep(X5,sep(X6,sep(X7,sep(next(X1,X2),X8))))))) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_19,hypothesis,
heap(sep(lseg(x9,x7),sep(next(x7,x3),sep(next(x5,x10),sep(next(x4,x7),sep(next(x3,x5),sep(next(x10,x1),sep(next(x2,x7),sep(next(x6,x4),sep(next(x1,x2),sep(next(x8,x4),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_15,c_0_10]),c_0_10]),c_0_10]),c_0_10]),c_0_10]),c_0_10]),c_0_10]),c_0_10]),c_0_10]),c_0_10]),c_0_10]),c_0_10]),c_0_10]),c_0_10]) ).
cnf(c_0_20,plain,
( X1 = X2
| heap(sep(lseg(X1,X3),sep(X4,sep(X5,X6))))
| ~ heap(sep(lseg(X2,X3),sep(X5,sep(X4,sep(next(X1,X2),X6))))) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,hypothesis,
( x1 = x10
| heap(sep(lseg(x10,x1),sep(lseg(x9,x7),sep(next(x7,x3),sep(next(x5,x10),sep(next(x4,x7),sep(next(x3,x5),sep(next(x2,x7),sep(next(x6,x4),sep(next(x1,x2),sep(next(x8,x4),emp))))))))))) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_22,plain,
( X1 = X2
| heap(sep(lseg(X1,X3),sep(X4,X5)))
| ~ heap(sep(lseg(X2,X3),sep(X4,sep(next(X1,X2),X5)))) ),
inference(spm,[status(thm)],[c_0_8,c_0_12]) ).
cnf(c_0_23,hypothesis,
( x1 = x10
| x10 = x5
| heap(sep(lseg(x5,x1),sep(lseg(x9,x7),sep(next(x7,x3),sep(next(x4,x7),sep(next(x3,x5),sep(next(x2,x7),sep(next(x6,x4),sep(next(x1,x2),sep(next(x8,x4),emp)))))))))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_10]) ).
cnf(c_0_24,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_25,plain,
sep(X1,sep(X2,sep(X3,sep(X4,sep(X5,X6))))) = sep(X5,sep(X1,sep(X2,sep(X3,sep(X4,X6))))),
inference(spm,[status(thm)],[c_0_12,c_0_12]) ).
cnf(c_0_26,plain,
( X1 = X2
| heap(sep(lseg(X1,X3),sep(X4,sep(X5,sep(X6,sep(X7,X8))))))
| ~ heap(sep(lseg(X2,X3),sep(X4,sep(X5,sep(X6,sep(X7,sep(next(X1,X2),X8))))))) ),
inference(spm,[status(thm)],[c_0_22,c_0_14]) ).
cnf(c_0_27,hypothesis,
( x10 = x5
| x1 = x10
| x3 = x7
| heap(sep(lseg(x7,x3),sep(lseg(x5,x1),sep(lseg(x9,x7),sep(next(x4,x7),sep(next(x3,x5),sep(next(x2,x7),sep(next(x6,x4),sep(next(x1,x2),sep(next(x8,x4),emp)))))))))) ),
inference(spm,[status(thm)],[c_0_13,c_0_23]) ).
cnf(c_0_28,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 ).
cnf(c_0_29,plain,
( X1 = X2
| heap(sep(lseg(X3,X1),sep(X4,sep(lseg(X1,X2),X5))))
| ~ heap(sep(lseg(X3,X6),sep(lseg(X6,X1),sep(X4,sep(lseg(X1,X2),X5))))) ),
inference(spm,[status(thm)],[c_0_24,c_0_10]) ).
cnf(c_0_30,plain,
( X1 = X2
| heap(sep(lseg(X1,X2),sep(X3,sep(X4,sep(X5,sep(X6,sep(X7,sep(X8,X9))))))))
| ~ heap(sep(X3,sep(X4,sep(X5,sep(X6,sep(X7,sep(X8,sep(next(X1,X2),X9)))))))) ),
inference(spm,[status(thm)],[c_0_13,c_0_25]) ).
cnf(c_0_31,hypothesis,
( x3 = x7
| x1 = x10
| x10 = x5
| x2 = x7
| heap(sep(lseg(x5,x1),sep(lseg(x9,x7),sep(lseg(x2,x3),sep(next(x4,x7),sep(next(x3,x5),sep(next(x6,x4),sep(next(x1,x2),sep(next(x8,x4),emp))))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_10]),c_0_10]) ).
cnf(c_0_32,plain,
( X1 = X2
| heap(sep(lseg(X1,X2),sep(X3,X4)))
| ~ heap(sep(X3,sep(next(X1,X2),X4))) ),
inference(spm,[status(thm)],[c_0_11,c_0_10]) ).
cnf(c_0_33,plain,
( heap(sep(lseg(X1,X2),sep(X3,sep(X4,sep(next(X2,X5),X6)))))
| ~ heap(sep(lseg(X1,X7),sep(lseg(X7,X2),sep(X3,sep(X4,sep(next(X2,X5),X6)))))) ),
inference(spm,[status(thm)],[c_0_28,c_0_12]) ).
cnf(c_0_34,plain,
( X1 = X2
| heap(sep(lseg(X3,X1),sep(X4,sep(lseg(X1,X2),X5))))
| ~ heap(sep(lseg(X3,X6),sep(X4,sep(lseg(X1,X2),sep(lseg(X6,X1),X5))))) ),
inference(spm,[status(thm)],[c_0_29,c_0_12]) ).
cnf(c_0_35,hypothesis,
( x2 = x7
| x10 = x5
| x1 = x10
| x3 = x7
| x1 = x2
| heap(sep(lseg(x5,x1),sep(lseg(x9,x7),sep(lseg(x2,x3),sep(lseg(x1,x2),sep(next(x4,x7),sep(next(x3,x5),sep(next(x6,x4),sep(next(x8,x4),emp))))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_10]),c_0_10]),c_0_10]) ).
cnf(c_0_36,hypothesis,
( x3 = x7
| heap(sep(lseg(x7,x3),sep(lseg(x9,x7),sep(next(x5,x10),sep(next(x4,x7),sep(next(x3,x5),sep(next(x10,x1),sep(next(x2,x7),sep(next(x6,x4),sep(next(x1,x2),sep(next(x8,x4),emp))))))))))) ),
inference(spm,[status(thm)],[c_0_32,c_0_19]) ).
cnf(c_0_37,plain,
( heap(sep(lseg(X1,X2),sep(next(X2,X3),X4)))
| ~ heap(sep(lseg(X5,X2),sep(lseg(X1,X5),sep(next(X2,X3),X4)))) ),
inference(spm,[status(thm)],[c_0_28,c_0_10]) ).
cnf(c_0_38,plain,
( heap(sep(lseg(X1,X2),sep(X3,sep(X4,sep(next(X2,X5),X6)))))
| ~ heap(sep(lseg(X1,X7),sep(X3,sep(lseg(X7,X2),sep(X4,sep(next(X2,X5),X6)))))) ),
inference(spm,[status(thm)],[c_0_33,c_0_10]) ).
cnf(c_0_39,hypothesis,
( x1 = x2
| x3 = x7
| x1 = x10
| x10 = x5
| x2 = x7
| x2 = x3
| heap(sep(lseg(x5,x2),sep(lseg(x9,x7),sep(lseg(x2,x3),sep(next(x4,x7),sep(next(x3,x5),sep(next(x6,x4),sep(next(x8,x4),emp)))))))) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_40,axiom,
~ heap(sep(next(X1,X2),sep(next(X1,X3),X4))),
wellformedness_3 ).
cnf(c_0_41,hypothesis,
( x3 = x7
| x10 = x5
| heap(sep(lseg(x7,x3),sep(lseg(x5,x10),sep(lseg(x9,x7),sep(next(x4,x7),sep(next(x3,x5),sep(next(x10,x1),sep(next(x2,x7),sep(next(x6,x4),sep(next(x1,x2),sep(next(x8,x4),emp))))))))))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_36]),c_0_10]) ).
cnf(c_0_42,plain,
( heap(sep(lseg(X1,X2),sep(X3,sep(X4,sep(next(X2,X5),X6)))))
| ~ heap(sep(lseg(X7,X2),sep(lseg(X1,X7),sep(X3,sep(X4,sep(next(X2,X5),X6)))))) ),
inference(spm,[status(thm)],[c_0_37,c_0_17]) ).
cnf(c_0_43,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_12,c_0_12]) ).
cnf(c_0_44,hypothesis,
( x2 = x3
| x2 = x7
| x10 = x5
| x1 = x10
| x3 = x7
| x1 = x2
| heap(sep(lseg(x5,x3),sep(lseg(x9,x7),sep(next(x4,x7),sep(next(x3,x5),sep(next(x6,x4),sep(next(x8,x4),emp))))))) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_45,plain,
~ heap(sep(next(X1,X2),sep(X3,sep(next(X1,X4),X5)))),
inference(spm,[status(thm)],[c_0_40,c_0_10]) ).
cnf(c_0_46,hypothesis,
( x10 = x5
| x3 = x7
| x4 = x7
| heap(sep(lseg(x5,x10),sep(lseg(x4,x3),sep(lseg(x9,x7),sep(next(x3,x5),sep(next(x10,x1),sep(next(x2,x7),sep(next(x6,x4),sep(next(x1,x2),sep(next(x8,x4),emp)))))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_41]),c_0_10]),c_0_10]) ).
cnf(c_0_47,plain,
( X1 = X2
| heap(sep(lseg(X1,X2),sep(X3,sep(X4,sep(X5,X6)))))
| ~ heap(sep(X3,sep(X5,sep(X4,sep(next(X1,X2),X6))))) ),
inference(spm,[status(thm)],[c_0_32,c_0_17]) ).
cnf(c_0_48,hypothesis,
( x3 = x7
| heap(sep(lseg(x9,x3),sep(next(x5,x10),sep(next(x4,x7),sep(next(x3,x5),sep(next(x10,x1),sep(next(x2,x7),sep(next(x6,x4),sep(next(x1,x2),sep(next(x8,x4),emp)))))))))) ),
inference(spm,[status(thm)],[c_0_42,c_0_36]) ).
cnf(c_0_49,plain,
( X1 = X2
| heap(sep(lseg(X1,X3),sep(X4,sep(X5,sep(X6,X7)))))
| ~ heap(sep(X4,sep(lseg(X2,X3),sep(X5,sep(X6,sep(next(X1,X2),X7)))))) ),
inference(spm,[status(thm)],[c_0_16,c_0_43]) ).
cnf(c_0_50,hypothesis,
( x1 = x2
| x3 = x7
| x1 = x10
| x10 = x5
| x2 = x7
| x2 = x3
| x4 = x7
| heap(sep(lseg(x5,x3),sep(lseg(x4,x7),sep(lseg(x9,x7),sep(next(x3,x5),sep(next(x6,x4),sep(next(x8,x4),emp))))))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_44]),c_0_10]) ).
cnf(c_0_51,plain,
~ heap(sep(X1,sep(next(X2,X3),sep(next(X2,X4),X5)))),
inference(spm,[status(thm)],[c_0_45,c_0_10]) ).
cnf(c_0_52,plain,
( heap(sep(lseg(X1,X2),sep(X3,sep(next(X2,X4),X5))))
| ~ heap(sep(lseg(X1,X6),sep(lseg(X6,X2),sep(X3,sep(next(X2,X4),X5))))) ),
inference(spm,[status(thm)],[c_0_28,c_0_10]) ).
cnf(c_0_53,hypothesis,
( x4 = x7
| x3 = x7
| x10 = x5
| x3 = x5
| heap(sep(lseg(x4,x3),sep(lseg(x3,x10),sep(lseg(x9,x7),sep(next(x10,x1),sep(next(x2,x7),sep(next(x6,x4),sep(next(x1,x2),sep(next(x8,x4),emp))))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_46]),c_0_10]),c_0_10]) ).
cnf(c_0_54,hypothesis,
( x3 = x7
| x3 = x5
| heap(sep(lseg(x3,x5),sep(lseg(x9,x3),sep(next(x5,x10),sep(next(x4,x7),sep(next(x10,x1),sep(next(x2,x7),sep(next(x6,x4),sep(next(x1,x2),sep(next(x8,x4),emp)))))))))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_10]) ).
cnf(c_0_55,plain,
( X1 = X2
| heap(sep(lseg(X1,X2),sep(X3,sep(X4,sep(X5,sep(X6,X7))))))
| ~ heap(sep(X3,sep(X4,sep(X6,sep(X5,sep(next(X1,X2),X7)))))) ),
inference(spm,[status(thm)],[c_0_13,c_0_17]) ).
cnf(c_0_56,hypothesis,
( x4 = x7
| x2 = x3
| x2 = x7
| x10 = x5
| x1 = x10
| x3 = x7
| x1 = x2
| x6 = x4
| heap(sep(lseg(x5,x3),sep(lseg(x9,x7),sep(lseg(x6,x7),sep(next(x3,x5),sep(next(x8,x4),emp)))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_10]),c_0_10]) ).
cnf(c_0_57,negated_conjecture,
~ heap(sep(lseg(x3,x5),sep(lseg(x8,x4),sep(lseg(x9,x7),sep(lseg(x6,x7),sep(lseg(x5,x3),emp)))))),
conclusion_1 ).
cnf(c_0_58,plain,
~ heap(sep(X1,sep(X2,sep(next(X3,X4),sep(next(X3,X5),X6))))),
inference(spm,[status(thm)],[c_0_51,c_0_12]) ).
cnf(c_0_59,hypothesis,
( x3 = x5
| x10 = x5
| x3 = x7
| x4 = x7
| heap(sep(lseg(x4,x10),sep(lseg(x9,x7),sep(next(x10,x1),sep(next(x2,x7),sep(next(x6,x4),sep(next(x1,x2),sep(next(x8,x4),emp)))))))) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_60,hypothesis,
( x3 = x5
| x3 = x7
| heap(sep(lseg(x9,x5),sep(next(x5,x10),sep(next(x4,x7),sep(next(x10,x1),sep(next(x2,x7),sep(next(x6,x4),sep(next(x1,x2),sep(next(x8,x4),emp))))))))) ),
inference(spm,[status(thm)],[c_0_37,c_0_54]) ).
cnf(c_0_61,hypothesis,
( x6 = x4
| x1 = x2
| x3 = x7
| x1 = x10
| x10 = x5
| x2 = x7
| x2 = x3
| x4 = x7
| x8 = x4
| heap(sep(lseg(x5,x3),sep(lseg(x9,x7),sep(lseg(x6,x7),sep(lseg(x8,x4),sep(next(x3,x5),emp)))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_10]),c_0_10]),c_0_10]),c_0_10]) ).
cnf(c_0_62,negated_conjecture,
~ heap(sep(lseg(x5,x3),sep(lseg(x3,x5),sep(lseg(x9,x7),sep(lseg(x6,x7),sep(lseg(x8,x4),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_57,c_0_10]),c_0_10]),c_0_10]),c_0_10]),c_0_10]),c_0_10]) ).
cnf(c_0_63,plain,
~ heap(sep(X1,sep(X2,sep(X3,sep(next(X4,X5),sep(next(X4,X6),X7)))))),
inference(spm,[status(thm)],[c_0_58,c_0_12]) ).
cnf(c_0_64,plain,
( heap(sep(lseg(X1,X2),sep(next(X2,X3),sep(X4,X5))))
| ~ heap(sep(lseg(X6,X2),sep(X4,sep(lseg(X1,X6),sep(next(X2,X3),X5))))) ),
inference(spm,[status(thm)],[c_0_37,c_0_12]) ).
cnf(c_0_65,hypothesis,
( x4 = x7
| x3 = x7
| x10 = x5
| x3 = x5
| x6 = x4
| heap(sep(lseg(x4,x10),sep(lseg(x9,x7),sep(lseg(x6,x4),sep(next(x10,x1),sep(next(x2,x7),sep(next(x1,x2),sep(next(x8,x4),emp)))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_59]),c_0_10]),c_0_10]),c_0_10]) ).
cnf(c_0_66,hypothesis,
( x3 = x7
| x3 = x5
| x1 = x10
| heap(sep(lseg(x10,x1),sep(lseg(x9,x5),sep(next(x5,x10),sep(next(x4,x7),sep(next(x2,x7),sep(next(x6,x4),sep(next(x1,x2),sep(next(x8,x4),emp))))))))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_60]),c_0_10]) ).
cnf(c_0_67,hypothesis,
( x8 = x4
| x4 = x7
| x2 = x3
| x2 = x7
| x10 = x5
| x1 = x10
| x3 = x7
| x1 = x2
| x6 = x4
| x3 = x5 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_61]),c_0_10]),c_0_10]),c_0_62]) ).
cnf(c_0_68,plain,
~ heap(sep(X1,sep(X2,sep(X3,sep(next(X4,X5),sep(X6,sep(X7,sep(X8,sep(next(X4,X9),X10))))))))),
inference(spm,[status(thm)],[c_0_63,c_0_14]) ).
cnf(c_0_69,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_12,c_0_12]) ).
cnf(c_0_70,hypothesis,
( x6 = x4
| x3 = x5
| x10 = x5
| x3 = x7
| x4 = x7
| heap(sep(lseg(x9,x7),sep(lseg(x6,x10),sep(next(x10,x1),sep(next(x2,x7),sep(next(x1,x2),sep(next(x8,x4),emp))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_10]),c_0_10]) ).
cnf(c_0_71,hypothesis,
( x6 = x4
| x1 = x2
| x10 = x5
| x2 = x7
| x2 = x3
| x4 = x7
| x1 = x10
| x3 = x5
| x3 = x7 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68]) ).
cnf(c_0_72,plain,
~ heap(sep(X1,sep(X2,sep(X3,sep(X4,sep(next(X5,X6),sep(X7,sep(next(X5,X8),X9)))))))),
inference(spm,[status(thm)],[c_0_63,c_0_69]) ).
cnf(c_0_73,hypothesis,
( x4 = x7
| x3 = x7
| x10 = x5
| x3 = x5
| x6 = x4
| x2 = x7
| heap(sep(lseg(x9,x7),sep(lseg(x2,x7),sep(lseg(x6,x10),sep(next(x10,x1),sep(next(x1,x2),sep(next(x8,x4),emp))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_70]),c_0_10]),c_0_10]) ).
cnf(c_0_74,hypothesis,
( x1 = x10
| x4 = x7
| x2 = x3
| x2 = x7
| x10 = x5
| x6 = x4
| x3 = x7
| x3 = x5 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_71]),c_0_72]) ).
cnf(c_0_75,hypothesis,
( x2 = x3
| x2 = x7
| x6 = x4
| x3 = x5
| x10 = x5
| x3 = x7
| x4 = x7 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_63]) ).
cnf(c_0_76,hypothesis,
( x4 = x7
| x3 = x7
| x10 = x5
| x3 = x5
| x2 = x7
| x2 = x3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_75]),c_0_68]) ).
cnf(c_0_77,plain,
~ heap(sep(X1,sep(next(X2,X3),sep(X4,sep(X5,sep(next(X2,X6),X7)))))),
inference(spm,[status(thm)],[c_0_51,c_0_12]) ).
cnf(c_0_78,hypothesis,
( x2 = x7
| x3 = x5
| x10 = x5
| x3 = x7
| x4 = x7 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_76]),c_0_72]) ).
cnf(c_0_79,plain,
~ heap(sep(X1,sep(next(X2,X3),sep(X4,sep(X5,sep(X6,sep(X7,sep(next(X2,X8),X9)))))))),
inference(spm,[status(thm)],[c_0_77,c_0_17]) ).
cnf(c_0_80,hypothesis,
( x4 = x7
| x3 = x7
| x10 = x5
| x3 = x5 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_78]),c_0_79]) ).
cnf(c_0_81,plain,
~ heap(sep(X1,sep(X2,sep(next(X3,X4),sep(X5,sep(X6,sep(next(X3,X7),X8))))))),
inference(spm,[status(thm)],[c_0_58,c_0_17]) ).
cnf(c_0_82,hypothesis,
( x3 = x5
| x3 = x7
| x4 = x7 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_80]),c_0_81]) ).
cnf(c_0_83,plain,
~ heap(sep(X1,sep(X2,sep(next(X3,X4),sep(X5,sep(next(X3,X6),X7)))))),
inference(spm,[status(thm)],[c_0_58,c_0_10]) ).
cnf(c_0_84,hypothesis,
( x4 = x7
| x3 = x7 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_82]),c_0_83]) ).
cnf(c_0_85,hypothesis,
x4 = x7,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_84]),c_0_77]) ).
cnf(c_0_86,plain,
~ heap(sep(X1,sep(next(X2,X3),sep(X4,sep(next(X2,X5),X6))))),
inference(spm,[status(thm)],[c_0_51,c_0_10]) ).
cnf(c_0_87,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_85]),c_0_86]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWW448-1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.11 % Command : run_E %s %d THM
% 0.10/0.31 % Computer : n010.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 2400
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Oct 2 22:05:50 EDT 2023
% 0.15/0.31 % CPUTime :
% 0.15/0.42 Running first-order theorem proving
% 0.15/0.42 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.KcIo7nPUfv/E---3.1_19333.p
% 464.47/59.08 # Version: 3.1pre001
% 464.47/59.08 # Preprocessing class: FSMSSMSMSSSNFFN.
% 464.47/59.08 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 464.47/59.08 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 464.47/59.08 # Starting new_bool_3 with 300s (1) cores
% 464.47/59.08 # Starting new_bool_1 with 300s (1) cores
% 464.47/59.08 # Starting sh5l with 300s (1) cores
% 464.47/59.08 # new_bool_3 with pid 19413 completed with status 0
% 464.47/59.08 # Result found by new_bool_3
% 464.47/59.08 # Preprocessing class: FSMSSMSMSSSNFFN.
% 464.47/59.08 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 464.47/59.08 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 464.47/59.08 # Starting new_bool_3 with 300s (1) cores
% 464.47/59.08 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 464.47/59.08 # Search class: FGUSS-FFSF22-DFFFFFNN
% 464.47/59.08 # partial match(1): FGUSS-FFMF22-DFFFFFNN
% 464.47/59.08 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 464.47/59.08 # Starting Y1006__C12_02_nc_F1_AE_CS_SP_S2S with 80s (1) cores
% 464.47/59.08 # Y1006__C12_02_nc_F1_AE_CS_SP_S2S with pid 19418 completed with status 0
% 464.47/59.08 # Result found by Y1006__C12_02_nc_F1_AE_CS_SP_S2S
% 464.47/59.08 # Preprocessing class: FSMSSMSMSSSNFFN.
% 464.47/59.08 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 464.47/59.08 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 464.47/59.08 # Starting new_bool_3 with 300s (1) cores
% 464.47/59.08 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 464.47/59.08 # Search class: FGUSS-FFSF22-DFFFFFNN
% 464.47/59.08 # partial match(1): FGUSS-FFMF22-DFFFFFNN
% 464.47/59.08 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 464.47/59.08 # Starting Y1006__C12_02_nc_F1_AE_CS_SP_S2S with 80s (1) cores
% 464.47/59.08 # Preprocessing time : 0.001 s
% 464.47/59.08 # Presaturation interreduction done
% 464.47/59.08
% 464.47/59.08 # Proof found!
% 464.47/59.08 # SZS status Unsatisfiable
% 464.47/59.08 # SZS output start CNFRefutation
% See solution above
% 464.47/59.08 # Parsed axioms : 13
% 464.47/59.08 # Removed by relevancy pruning/SinE : 3
% 464.47/59.08 # Initial clauses : 10
% 464.47/59.08 # Removed in clause preprocessing : 0
% 464.47/59.08 # Initial clauses in saturation : 10
% 464.47/59.08 # Processed clauses : 29615
% 464.47/59.08 # ...of these trivial : 0
% 464.47/59.08 # ...subsumed : 27464
% 464.47/59.08 # ...remaining for further processing : 2151
% 464.47/59.08 # Other redundant clauses eliminated : 0
% 464.47/59.08 # Clauses deleted for lack of memory : 140
% 464.47/59.08 # Backward-subsumed : 909
% 464.47/59.08 # Backward-rewritten : 275
% 464.47/59.08 # Generated clauses : 2350275
% 464.47/59.08 # ...of the previous two non-redundant : 2350195
% 464.47/59.08 # ...aggressively subsumed : 0
% 464.47/59.08 # Contextual simplify-reflections : 0
% 464.47/59.08 # Paramodulations : 2350272
% 464.47/59.08 # Factorizations : 3
% 464.47/59.08 # NegExts : 0
% 464.47/59.08 # Equation resolutions : 0
% 464.47/59.08 # Total rewrite steps : 39843
% 464.47/59.08 # Propositional unsat checks : 0
% 464.47/59.08 # Propositional check models : 0
% 464.47/59.08 # Propositional check unsatisfiable : 0
% 464.47/59.08 # Propositional clauses : 0
% 464.47/59.08 # Propositional clauses after purity: 0
% 464.47/59.08 # Propositional unsat core size : 0
% 464.47/59.08 # Propositional preprocessing time : 0.000
% 464.47/59.08 # Propositional encoding time : 0.000
% 464.47/59.08 # Propositional solver time : 0.000
% 464.47/59.08 # Success case prop preproc time : 0.000
% 464.47/59.08 # Success case prop encoding time : 0.000
% 464.47/59.08 # Success case prop solver time : 0.000
% 464.47/59.08 # Current number of processed clauses : 957
% 464.47/59.08 # Positive orientable unit clauses : 3
% 464.47/59.08 # Positive unorientable unit clauses: 210
% 464.47/59.08 # Negative unit clauses : 31
% 464.47/59.08 # Non-unit-clauses : 713
% 464.47/59.08 # Current number of unprocessed clauses: 1195449
% 464.47/59.08 # ...number of literals in the above : 2273628
% 464.47/59.08 # Current number of archived formulas : 0
% 464.47/59.08 # Current number of archived clauses : 1194
% 464.47/59.08 # Clause-clause subsumption calls (NU) : 439543
% 464.47/59.08 # Rec. Clause-clause subsumption calls : 212262
% 464.47/59.08 # Non-unit clause-clause subsumptions : 21854
% 464.47/59.08 # Unit Clause-clause subsumption calls : 10969
% 464.47/59.08 # Rewrite failures with RHS unbound : 0
% 464.47/59.08 # BW rewrite match attempts : 604316
% 464.47/59.08 # BW rewrite match successes : 267161
% 464.47/59.08 # Condensation attempts : 0
% 464.47/59.08 # Condensation successes : 0
% 464.47/59.08 # Termbank termtop insertions : 49914545
% 464.47/59.08
% 464.47/59.08 # -------------------------------------------------
% 464.47/59.08 # User time : 56.560 s
% 464.47/59.08 # System time : 1.448 s
% 464.47/59.08 # Total time : 58.008 s
% 464.47/59.08 # Maximum resident set size: 1624 pages
% 464.47/59.08
% 464.47/59.08 # -------------------------------------------------
% 464.47/59.08 # User time : 56.561 s
% 464.47/59.08 # System time : 1.452 s
% 464.47/59.08 # Total time : 58.013 s
% 464.47/59.08 # Maximum resident set size: 1700 pages
% 464.47/59.08 % E---3.1 exiting
% 464.47/59.08 % E---3.1 exiting
%------------------------------------------------------------------------------