TSTP Solution File: SWW438-1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWW438-1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n019.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 : Fri Sep 1 00:17:46 EDT 2023
% Result : Unsatisfiable 1.70s 1.77s
% Output : CNFRefutation 1.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 32
% Syntax : Number of formulae : 121 ( 32 unt; 22 typ; 0 def)
% Number of atoms : 218 ( 142 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 153 ( 34 ~; 119 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 14 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 4 >; 3 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 18 con; 0-2 aty)
% Number of variables : 145 ( 11 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
sep: ( $i * $i ) > $i ).
tff(decl_23,type,
lseg: ( $i * $i ) > $i ).
tff(decl_24,type,
nil: $i ).
tff(decl_25,type,
next: ( $i * $i ) > $i ).
tff(decl_26,type,
heap: $i > $o ).
tff(decl_27,type,
x6: $i ).
tff(decl_28,type,
x11: $i ).
tff(decl_29,type,
x7: $i ).
tff(decl_30,type,
x3: $i ).
tff(decl_31,type,
x10: $i ).
tff(decl_32,type,
x14: $i ).
tff(decl_33,type,
x15: $i ).
tff(decl_34,type,
x9: $i ).
tff(decl_35,type,
x2: $i ).
tff(decl_36,type,
x16: $i ).
tff(decl_37,type,
x5: $i ).
tff(decl_38,type,
x13: $i ).
tff(decl_39,type,
x12: $i ).
tff(decl_40,type,
x8: $i ).
tff(decl_41,type,
x4: $i ).
tff(decl_42,type,
emp: $i ).
tff(decl_43,type,
x1: $i ).
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_16,hypothesis,
heap(sep(lseg(x14,x12),sep(lseg(x2,x13),sep(lseg(x13,x6),sep(lseg(x13,x8),sep(lseg(x10,x2),sep(lseg(x10,x3),sep(lseg(x7,x2),sep(lseg(x7,x16),sep(lseg(x3,x14),sep(lseg(x11,x4),sep(lseg(x6,x14),sep(lseg(x6,x16),emp))))))))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_16) ).
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(normalization,axiom,
sep(lseg(X1,X1),X2) = X2,
file('/export/starexec/sandbox/benchmark/Axioms/SWV013-0.ax',normalization) ).
cnf(premise_3,hypothesis,
x3 != x10,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_3) ).
cnf(premise_8,hypothesis,
x2 != x16,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_8) ).
cnf(premise_4,hypothesis,
x3 != x14,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_4) ).
cnf(premise_10,hypothesis,
x14 != x16,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_10) ).
cnf(unfolding_3,axiom,
( heap(sep(lseg(X1,nil),X3))
| ~ heap(sep(lseg(X1,X2),sep(lseg(X2,nil),X3))) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV013-0.ax',unfolding_3) ).
cnf(c_0_10,axiom,
sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
associative_commutative ).
cnf(c_0_11,axiom,
( X1 = X2
| X1 = X3
| ~ heap(sep(lseg(X1,X2),sep(lseg(X1,X3),X4))) ),
wellformedness_5 ).
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
| X1 = X3
| ~ heap(sep(X4,sep(lseg(X1,X2),sep(lseg(X1,X3),X5)))) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_14,hypothesis,
heap(sep(lseg(x14,x12),sep(lseg(x2,x13),sep(lseg(x13,x6),sep(lseg(x13,x8),sep(lseg(x10,x2),sep(lseg(x10,x3),sep(lseg(x7,x2),sep(lseg(x7,x16),sep(lseg(x3,x14),sep(lseg(x11,x4),sep(lseg(x6,x14),sep(lseg(x6,x16),emp))))))))))))),
premise_16 ).
cnf(c_0_15,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_16,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_13,c_0_12]) ).
cnf(c_0_17,hypothesis,
heap(sep(lseg(x14,x12),sep(lseg(x2,x13),sep(lseg(x6,x14),sep(lseg(x6,x16),sep(lseg(x13,x6),sep(lseg(x13,x8),sep(lseg(x10,x2),sep(lseg(x10,x3),sep(lseg(x3,x14),sep(lseg(x7,x2),sep(lseg(x7,x16),sep(lseg(x11,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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,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]),c_0_10]),c_0_10]),c_0_10]),c_0_10]) ).
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_15,c_0_12]) ).
cnf(c_0_19,hypothesis,
( x6 = x14
| x16 = x6 ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,axiom,
sep(lseg(X1,X1),X2) = X2,
normalization ).
cnf(c_0_21,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_12]) ).
cnf(c_0_22,hypothesis,
( x6 = x14
| heap(sep(lseg(x14,x12),sep(lseg(x2,x13),sep(lseg(x6,x14),sep(lseg(x13,x6),sep(lseg(x13,x8),sep(lseg(x10,x2),sep(lseg(x10,x3),sep(lseg(x3,x14),sep(lseg(x7,x2),sep(lseg(x7,x6),sep(lseg(x11,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(spm,[status(thm)],[c_0_14,c_0_19]),c_0_20]),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_23,plain,
( X1 = X2
| heap(sep(lseg(X3,X1),sep(lseg(X1,X2),X4)))
| ~ heap(sep(lseg(X1,X2),sep(lseg(X3,X5),sep(lseg(X5,X1),X4)))) ),
inference(spm,[status(thm)],[c_0_15,c_0_12]) ).
cnf(c_0_24,hypothesis,
( x6 = x14
| heap(sep(lseg(x14,x12),sep(lseg(x2,x6),sep(lseg(x6,x14),sep(lseg(x13,x8),sep(lseg(x10,x2),sep(lseg(x10,x3),sep(lseg(x3,x14),sep(lseg(x7,x2),sep(lseg(x7,x6),sep(lseg(x11,x4),emp))))))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_10]),c_0_10]) ).
cnf(c_0_25,plain,
( X1 = X2
| X1 = X3
| ~ heap(sep(X4,sep(X5,sep(X6,sep(lseg(X1,X2),sep(lseg(X1,X3),X7)))))) ),
inference(spm,[status(thm)],[c_0_16,c_0_12]) ).
cnf(c_0_26,hypothesis,
( x6 = x14
| x12 = x14
| heap(sep(lseg(x14,x12),sep(lseg(x2,x14),sep(lseg(x13,x8),sep(lseg(x10,x2),sep(lseg(x10,x3),sep(lseg(x3,x14),sep(lseg(x7,x2),sep(lseg(x7,x6),sep(lseg(x11,x4),emp)))))))))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_10]) ).
cnf(c_0_27,hypothesis,
x3 != x10,
premise_3 ).
cnf(c_0_28,hypothesis,
( x12 = x14
| x6 = x14
| x10 = x2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]) ).
cnf(c_0_29,plain,
( X1 = X2
| heap(sep(lseg(X3,X1),sep(lseg(X1,X2),X4)))
| ~ heap(sep(lseg(X5,X1),sep(lseg(X1,X2),sep(lseg(X3,X5),X4)))) ),
inference(spm,[status(thm)],[c_0_15,c_0_12]) ).
cnf(c_0_30,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_31,hypothesis,
( x10 = x2
| x6 = x14
| heap(sep(lseg(x2,x13),sep(lseg(x6,x14),sep(lseg(x6,x16),sep(lseg(x13,x6),sep(lseg(x13,x8),sep(lseg(x10,x2),sep(lseg(x10,x3),sep(lseg(x3,x14),sep(lseg(x7,x2),sep(lseg(x7,x16),sep(lseg(x11,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)],[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_14,c_0_28]),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]),c_0_10]),c_0_10]),c_0_10]),c_0_10]),c_0_20]) ).
cnf(c_0_32,plain,
( X1 = X2
| heap(sep(lseg(X3,X1),sep(lseg(X1,X2),sep(X4,sep(X5,X6)))))
| ~ heap(sep(lseg(X7,X1),sep(lseg(X1,X2),sep(X5,sep(X4,sep(lseg(X3,X7),X6)))))) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_33,hypothesis,
( x10 = x2
| x6 = x14
| heap(sep(lseg(x2,x6),sep(lseg(x6,x14),sep(lseg(x6,x16),sep(lseg(x13,x8),sep(lseg(x10,x2),sep(lseg(x10,x3),sep(lseg(x3,x14),sep(lseg(x7,x2),sep(lseg(x7,x16),sep(lseg(x11,x4),emp))))))))))) ),
inference(spm,[status(thm)],[c_0_18,c_0_31]) ).
cnf(c_0_34,hypothesis,
( x10 = x2
| x6 = x14
| heap(sep(lseg(x6,x14),sep(lseg(x6,x16),sep(lseg(x13,x8),sep(lseg(x10,x6),sep(lseg(x10,x3),sep(lseg(x3,x14),sep(lseg(x7,x2),sep(lseg(x7,x16),sep(lseg(x11,x4),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_33]),c_0_10]),c_0_10]),c_0_10]),c_0_10]) ).
cnf(c_0_35,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_15,c_0_10]) ).
cnf(c_0_36,hypothesis,
( x13 = x6
| x8 = x13 ),
inference(spm,[status(thm)],[c_0_16,c_0_14]) ).
cnf(c_0_37,hypothesis,
( x6 = x14
| x10 = x2
| x10 = x6 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_34]),c_0_27]) ).
cnf(c_0_38,hypothesis,
x2 != x16,
premise_8 ).
cnf(c_0_39,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_35,c_0_12]) ).
cnf(c_0_40,hypothesis,
( x13 = x6
| x12 = x14
| x6 = x14
| heap(sep(lseg(x14,x12),sep(lseg(x2,x14),sep(lseg(x10,x2),sep(lseg(x10,x3),sep(lseg(x3,x14),sep(lseg(x7,x2),sep(lseg(x7,x6),sep(lseg(x11,x4),emp))))))))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_36]),c_0_20]) ).
cnf(c_0_41,hypothesis,
( x10 = x2
| x6 = x14
| heap(sep(lseg(x14,x12),sep(lseg(x2,x13),sep(lseg(x6,x14),sep(lseg(x6,x2),sep(lseg(x6,x16),sep(lseg(x6,x3),sep(lseg(x13,x6),sep(lseg(x13,x8),sep(lseg(x3,x14),sep(lseg(x7,x2),sep(lseg(x7,x16),sep(lseg(x11,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)],[inference(rw,[status(thm)],[inference(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_14,c_0_37]),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]),c_0_10]),c_0_10]),c_0_10]),c_0_10]),c_0_10]),c_0_10]),c_0_10]) ).
cnf(c_0_42,hypothesis,
( x6 = x14
| x6 != x2 ),
inference(spm,[status(thm)],[c_0_38,c_0_19]) ).
cnf(c_0_43,hypothesis,
( x6 = x14
| x13 = x6
| x12 = x14
| heap(sep(lseg(x14,x12),sep(lseg(x10,x14),sep(lseg(x10,x3),sep(lseg(x3,x14),sep(lseg(x7,x2),sep(lseg(x7,x6),sep(lseg(x11,x4),emp)))))))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_10]) ).
cnf(c_0_44,hypothesis,
( x10 = x2
| x6 = x14 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_41]),c_0_42]) ).
cnf(c_0_45,hypothesis,
( x12 = x14
| x13 = x6
| x6 = x14
| x10 = x14 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_43]),c_0_27]) ).
cnf(c_0_46,hypothesis,
( x6 = x14
| heap(sep(lseg(x14,x12),sep(lseg(x2,x13),sep(lseg(x2,x3),sep(lseg(x6,x14),sep(lseg(x6,x16),sep(lseg(x13,x6),sep(lseg(x13,x8),sep(lseg(x3,x14),sep(lseg(x7,x2),sep(lseg(x7,x16),sep(lseg(x11,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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_44]),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_20]),c_0_10]),c_0_10]),c_0_10]),c_0_10]),c_0_10]),c_0_10]) ).
cnf(c_0_47,hypothesis,
( x10 = x14
| x6 = x14
| x13 = x6
| heap(sep(lseg(x2,x13),sep(lseg(x6,x14),sep(lseg(x6,x16),sep(lseg(x13,x6),sep(lseg(x13,x8),sep(lseg(x10,x2),sep(lseg(x10,x3),sep(lseg(x3,x14),sep(lseg(x7,x2),sep(lseg(x7,x16),sep(lseg(x11,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)],[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_14,c_0_45]),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]),c_0_10]),c_0_10]),c_0_10]),c_0_10]),c_0_20]) ).
cnf(c_0_48,hypothesis,
( x6 = x14
| x3 = x2
| x13 = x2 ),
inference(spm,[status(thm)],[c_0_13,c_0_46]) ).
cnf(c_0_49,hypothesis,
( x13 = x6
| x10 = x14
| x6 = x14
| heap(sep(lseg(x2,x6),sep(lseg(x6,x14),sep(lseg(x6,x16),sep(lseg(x13,x8),sep(lseg(x10,x2),sep(lseg(x10,x3),sep(lseg(x3,x14),sep(lseg(x7,x2),sep(lseg(x7,x16),sep(lseg(x11,x4),emp))))))))))) ),
inference(spm,[status(thm)],[c_0_18,c_0_47]) ).
cnf(c_0_50,hypothesis,
( x13 = x2
| x6 = x14 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_48]),c_0_44]) ).
cnf(c_0_51,hypothesis,
( x10 = x14
| x13 = x6
| x6 = x14
| heap(sep(lseg(x6,x14),sep(lseg(x6,x16),sep(lseg(x13,x8),sep(lseg(x10,x6),sep(lseg(x10,x3),sep(lseg(x3,x14),sep(lseg(x7,x2),sep(lseg(x7,x16),sep(lseg(x11,x4),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_49]),c_0_10]),c_0_10]),c_0_10]),c_0_10]) ).
cnf(c_0_52,plain,
( X1 = X2
| heap(sep(lseg(X3,X1),sep(lseg(X1,X2),sep(X4,X5))))
| ~ heap(sep(lseg(X1,X2),sep(lseg(X3,X6),sep(X4,sep(lseg(X6,X1),X5))))) ),
inference(spm,[status(thm)],[c_0_18,c_0_10]) ).
cnf(c_0_53,hypothesis,
( x6 = x14
| heap(sep(lseg(x14,x12),sep(lseg(x2,x6),sep(lseg(x2,x8),sep(lseg(x6,x14),sep(lseg(x6,x16),sep(lseg(x10,x2),sep(lseg(x10,x3),sep(lseg(x3,x14),sep(lseg(x7,x2),sep(lseg(x7,x16),sep(lseg(x11,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)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_50]),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]),c_0_20]) ).
cnf(c_0_54,hypothesis,
( x6 = x14
| x13 = x6
| x10 = x14
| x10 = x6 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_51]),c_0_27]) ).
cnf(c_0_55,hypothesis,
( x6 = x14
| x12 = x14
| heap(sep(lseg(x14,x12),sep(lseg(x2,x14),sep(lseg(x2,x8),sep(lseg(x6,x16),sep(lseg(x10,x2),sep(lseg(x10,x3),sep(lseg(x3,x14),sep(lseg(x7,x2),sep(lseg(x7,x16),sep(lseg(x11,x4),emp))))))))))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_10]) ).
cnf(c_0_56,hypothesis,
( x10 = x14
| x13 = x6
| x6 = x14 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_54]),c_0_42]) ).
cnf(c_0_57,hypothesis,
( x13 = x6
| x12 = x14
| x6 = x14
| heap(sep(lseg(x14,x2),sep(lseg(x14,x3),sep(lseg(x14,x12),sep(lseg(x2,x14),sep(lseg(x2,x8),sep(lseg(x6,x16),sep(lseg(x3,x14),sep(lseg(x7,x2),sep(lseg(x7,x16),sep(lseg(x11,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(spm,[status(thm)],[c_0_55,c_0_56]),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_58,hypothesis,
x3 != x14,
premise_4 ).
cnf(c_0_59,hypothesis,
( x6 = x14
| x13 = x6
| x12 = x14 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_57]),c_0_58]) ).
cnf(c_0_60,hypothesis,
( x13 = x6
| x6 = x14
| heap(sep(lseg(x2,x13),sep(lseg(x6,x14),sep(lseg(x6,x16),sep(lseg(x13,x6),sep(lseg(x13,x8),sep(lseg(x10,x2),sep(lseg(x10,x3),sep(lseg(x3,x14),sep(lseg(x7,x2),sep(lseg(x7,x16),sep(lseg(x11,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)],[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_14,c_0_59]),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]),c_0_10]),c_0_10]),c_0_10]),c_0_10]),c_0_20]) ).
cnf(c_0_61,hypothesis,
( x13 = x6
| x6 = x14
| heap(sep(lseg(x2,x6),sep(lseg(x6,x14),sep(lseg(x6,x16),sep(lseg(x13,x8),sep(lseg(x10,x2),sep(lseg(x10,x3),sep(lseg(x3,x14),sep(lseg(x7,x2),sep(lseg(x7,x16),sep(lseg(x11,x4),emp))))))))))) ),
inference(spm,[status(thm)],[c_0_18,c_0_60]) ).
cnf(c_0_62,hypothesis,
( x13 = x6
| x6 = x14
| x2 = x14 ),
inference(spm,[status(thm)],[c_0_44,c_0_56]) ).
cnf(c_0_63,hypothesis,
( x13 = x6
| x6 = x14
| heap(sep(lseg(x6,x14),sep(lseg(x6,x16),sep(lseg(x13,x8),sep(lseg(x10,x6),sep(lseg(x10,x3),sep(lseg(x3,x14),sep(lseg(x7,x2),sep(lseg(x7,x16),sep(lseg(x11,x4),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_61]),c_0_10]),c_0_10]),c_0_10]),c_0_10]) ).
cnf(c_0_64,hypothesis,
( x2 = x14
| x6 = x14 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_50]),c_0_42]) ).
cnf(c_0_65,hypothesis,
( x6 = x14
| x13 = x6
| x10 = x6 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_63]),c_0_27]) ).
cnf(c_0_66,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_12]) ).
cnf(c_0_67,hypothesis,
( x2 = x14
| heap(sep(lseg(x14,x16),sep(lseg(x14,x12),sep(lseg(x2,x13),sep(lseg(x13,x14),sep(lseg(x13,x8),sep(lseg(x10,x2),sep(lseg(x10,x3),sep(lseg(x3,x14),sep(lseg(x7,x2),sep(lseg(x7,x16),sep(lseg(x11,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(spm,[status(thm)],[c_0_14,c_0_64]),c_0_20]),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_68,hypothesis,
x14 != x16,
premise_10 ).
cnf(c_0_69,axiom,
( heap(sep(lseg(X1,nil),X3))
| ~ heap(sep(lseg(X1,X2),sep(lseg(X2,nil),X3))) ),
unfolding_3 ).
cnf(c_0_70,hypothesis,
( x13 = x6
| x6 = x14 ),
inference(spm,[status(thm)],[c_0_56,c_0_65]) ).
cnf(c_0_71,hypothesis,
( x2 = x14
| heap(sep(lseg(x14,x16),sep(lseg(x14,x12),sep(lseg(x2,x14),sep(lseg(x13,x8),sep(lseg(x10,x2),sep(lseg(x10,x3),sep(lseg(x3,x14),sep(lseg(x7,x2),sep(lseg(x7,x16),sep(lseg(x11,x4),emp))))))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68]),c_0_10]),c_0_10]) ).
cnf(c_0_72,plain,
( heap(sep(lseg(X1,nil),sep(X2,X3)))
| ~ heap(sep(lseg(X1,X4),sep(X2,sep(lseg(X4,nil),X3)))) ),
inference(spm,[status(thm)],[c_0_69,c_0_10]) ).
cnf(c_0_73,hypothesis,
x6 = x14,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_70]),c_0_42]) ).
cnf(c_0_74,hypothesis,
( x13 = x6
| x2 = x14
| heap(sep(lseg(x14,x16),sep(lseg(x14,x12),sep(lseg(x2,x14),sep(lseg(x10,x2),sep(lseg(x10,x3),sep(lseg(x3,x14),sep(lseg(x7,x2),sep(lseg(x7,x16),sep(lseg(x11,x4),emp)))))))))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_36]),c_0_20]) ).
cnf(c_0_75,plain,
( heap(sep(lseg(X1,nil),sep(X2,X3)))
| ~ heap(sep(X2,sep(lseg(X1,nil),X3))) ),
inference(spm,[status(thm)],[c_0_72,c_0_20]) ).
cnf(c_0_76,hypothesis,
heap(sep(lseg(x14,x16),sep(lseg(x14,x12),sep(lseg(x2,x13),sep(lseg(x13,x14),sep(lseg(x13,x8),sep(lseg(x10,x2),sep(lseg(x10,x3),sep(lseg(x3,x14),sep(lseg(x7,x2),sep(lseg(x7,x16),sep(lseg(x11,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(spm,[status(thm)],[c_0_14,c_0_73]),c_0_20]),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_77,hypothesis,
( x2 = x14
| x13 = x6
| x10 = x2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_74]),c_0_27]) ).
cnf(c_0_78,plain,
( heap(sep(lseg(X1,nil),sep(X2,sep(X3,X4))))
| ~ heap(sep(X3,sep(X2,sep(lseg(X1,nil),X4)))) ),
inference(spm,[status(thm)],[c_0_75,c_0_12]) ).
cnf(c_0_79,hypothesis,
heap(sep(lseg(x14,x16),sep(lseg(x14,x12),sep(lseg(x2,x14),sep(lseg(x13,x8),sep(lseg(x10,x2),sep(lseg(x10,x3),sep(lseg(x3,x14),sep(lseg(x7,x2),sep(lseg(x7,x16),sep(lseg(x11,x4),emp))))))))))),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_76]),c_0_10]),c_0_10]),c_0_68]) ).
cnf(c_0_80,hypothesis,
x12 = x14,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_76]),c_0_68]) ).
cnf(c_0_81,hypothesis,
( x13 = x6
| x2 = x14
| heap(sep(lseg(x14,x16),sep(lseg(x14,x12),sep(lseg(x2,x14),sep(lseg(x2,x3),sep(lseg(x13,x8),sep(lseg(x3,x14),sep(lseg(x7,x2),sep(lseg(x7,x16),sep(lseg(x11,x4),emp)))))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_77]),c_0_20]),c_0_10]) ).
cnf(c_0_82,plain,
( heap(sep(X1,sep(X2,X3)))
| ~ heap(sep(X2,sep(X1,X3))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_20]),c_0_20]) ).
cnf(c_0_83,hypothesis,
heap(sep(lseg(x14,x16),sep(lseg(x2,x14),sep(lseg(x13,x8),sep(lseg(x10,x2),sep(lseg(x10,x3),sep(lseg(x3,x14),sep(lseg(x7,x2),sep(lseg(x7,x16),sep(lseg(x11,x4),emp)))))))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_20]) ).
cnf(c_0_84,hypothesis,
( x13 = x6
| x2 = x14
| x3 = x2 ),
inference(spm,[status(thm)],[c_0_16,c_0_81]) ).
cnf(c_0_85,plain,
( heap(sep(X1,sep(X2,sep(X3,sep(X4,X5)))))
| ~ heap(sep(X2,sep(X4,sep(X1,sep(X3,X5))))) ),
inference(spm,[status(thm)],[c_0_82,c_0_12]) ).
cnf(c_0_86,hypothesis,
heap(sep(lseg(x14,x16),sep(lseg(x2,x13),sep(lseg(x13,x14),sep(lseg(x13,x8),sep(lseg(x10,x2),sep(lseg(x10,x3),sep(lseg(x3,x14),sep(lseg(x7,x2),sep(lseg(x7,x16),sep(lseg(x11,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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_80]),c_0_73]),c_0_10]),c_0_73]),c_0_10]),c_0_73]),c_0_20]),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_20]) ).
cnf(c_0_87,hypothesis,
x10 = x2,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_83]),c_0_27]) ).
cnf(c_0_88,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_89,hypothesis,
( x2 = x14
| x13 = x6 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_84]),c_0_77]) ).
cnf(c_0_90,hypothesis,
heap(sep(lseg(x14,x16),sep(lseg(x2,x13),sep(lseg(x2,x3),sep(lseg(x13,x14),sep(lseg(x13,x8),sep(lseg(x3,x14),sep(lseg(x7,x2),sep(lseg(x7,x16),sep(lseg(x11,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(spm,[status(thm)],[c_0_85,c_0_86]),c_0_87]),c_0_87]),c_0_20]),c_0_10]),c_0_10]),c_0_10]),c_0_10]),c_0_10]) ).
cnf(c_0_91,hypothesis,
x3 != x2,
inference(rw,[status(thm)],[c_0_27,c_0_87]) ).
cnf(c_0_92,plain,
sep(X1,sep(X2,sep(X3,sep(X4,X5)))) = sep(X4,sep(X3,sep(X2,sep(X1,X5)))),
inference(spm,[status(thm)],[c_0_30,c_0_88]) ).
cnf(c_0_93,hypothesis,
( x13 = x14
| x2 = x14 ),
inference(rw,[status(thm)],[c_0_89,c_0_73]) ).
cnf(c_0_94,hypothesis,
x13 = x2,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_90]),c_0_91]) ).
cnf(c_0_95,plain,
( heap(sep(X1,sep(X2,sep(X3,sep(X4,X5)))))
| ~ heap(sep(X4,sep(X3,sep(X1,sep(X2,X5))))) ),
inference(spm,[status(thm)],[c_0_82,c_0_92]) ).
cnf(c_0_96,hypothesis,
x2 = x14,
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_97,hypothesis,
heap(sep(lseg(x14,x16),sep(lseg(x14,x3),sep(lseg(x14,x8),sep(lseg(x3,x14),sep(lseg(x7,x14),sep(lseg(x7,x16),sep(lseg(x11,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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_86]),c_0_94]),c_0_96]),c_0_94]),c_0_96]),c_0_96]),c_0_94]),c_0_96]),c_0_87]),c_0_96]),c_0_96]),c_0_87]),c_0_96]),c_0_96]),c_0_20]),c_0_20]),c_0_10]),c_0_10]),c_0_20]) ).
cnf(c_0_98,hypothesis,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_97]),c_0_58]),c_0_68]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SWW438-1 : TPTP v8.1.2. Released v5.2.0.
% 0.14/0.15 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.36 % Computer : n019.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun Aug 27 22:27:43 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.58 start to proof: theBenchmark
% 1.70/1.77 % Version : CSE_E---1.5
% 1.70/1.77 % Problem : theBenchmark.p
% 1.70/1.77 % Proof found
% 1.70/1.77 % SZS status Theorem for theBenchmark.p
% 1.70/1.77 % SZS output start Proof
% See solution above
% 1.70/1.78 % Total time : 1.176000 s
% 1.70/1.78 % SZS output end Proof
% 1.70/1.78 % Total time : 1.179000 s
%------------------------------------------------------------------------------