TSTP Solution File: SWW434-1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWW434-1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n015.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 00:17:45 EDT 2023
% Result : Unsatisfiable 2.90s 3.05s
% Output : CNFRefutation 2.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 50
% Number of leaves : 28
% Syntax : Number of formulae : 103 ( 26 unt; 20 typ; 0 def)
% Number of atoms : 176 ( 120 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 118 ( 25 ~; 93 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 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 : 19 ( 19 usr; 16 con; 0-2 aty)
% Number of variables : 91 ( 13 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,
x14: $i ).
tff(decl_29,type,
x8: $i ).
tff(decl_30,type,
x10: $i ).
tff(decl_31,type,
x4: $i ).
tff(decl_32,type,
x7: $i ).
tff(decl_33,type,
x3: $i ).
tff(decl_34,type,
x5: $i ).
tff(decl_35,type,
x9: $i ).
tff(decl_36,type,
x13: $i ).
tff(decl_37,type,
x12: $i ).
tff(decl_38,type,
x1: $i ).
tff(decl_39,type,
x2: $i ).
tff(decl_40,type,
x11: $i ).
tff(decl_41,type,
emp: $i ).
cnf(associative_commutative,axiom,
sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax',associative_commutative) ).
cnf(wellformedness_5,axiom,
( X1 = X2
| X1 = X3
| ~ heap(sep(lseg(X1,X2),sep(lseg(X1,X3),X4))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax',wellformedness_5) ).
cnf(premise_8,hypothesis,
heap(sep(lseg(x5,x10),sep(lseg(x13,x12),sep(lseg(x1,x7),sep(lseg(x8,x14),sep(lseg(x12,x8),sep(lseg(x2,x12),sep(lseg(x2,x11),sep(lseg(x9,x14),sep(lseg(x9,x1),sep(lseg(x3,x9),sep(lseg(x11,x13),sep(lseg(x11,x3),emp))))))))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_8) ).
cnf(premise_6,hypothesis,
x9 != x14,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_6) ).
cnf(normalization,axiom,
sep(lseg(X1,X1),X2) = X2,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax',normalization) ).
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/benchmark/Axioms/SWV013-0.ax',unfolding_5) ).
cnf(unfolding_3,axiom,
( heap(sep(lseg(X1,nil),X3))
| ~ heap(sep(lseg(X1,X2),sep(lseg(X2,nil),X3))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax',unfolding_3) ).
cnf(premise_7,hypothesis,
x13 != x14,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_7) ).
cnf(c_0_8,axiom,
sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
associative_commutative ).
cnf(c_0_9,axiom,
( X1 = X2
| X1 = X3
| ~ heap(sep(lseg(X1,X2),sep(lseg(X1,X3),X4))) ),
wellformedness_5 ).
cnf(c_0_10,plain,
sep(X1,sep(X2,sep(X3,X4))) = sep(X3,sep(X1,sep(X2,X4))),
inference(spm,[status(thm)],[c_0_8,c_0_8]) ).
cnf(c_0_11,hypothesis,
heap(sep(lseg(x5,x10),sep(lseg(x13,x12),sep(lseg(x1,x7),sep(lseg(x8,x14),sep(lseg(x12,x8),sep(lseg(x2,x12),sep(lseg(x2,x11),sep(lseg(x9,x14),sep(lseg(x9,x1),sep(lseg(x3,x9),sep(lseg(x11,x13),sep(lseg(x11,x3),emp))))))))))))),
premise_8 ).
cnf(c_0_12,plain,
( X1 = X2
| X1 = X3
| ~ heap(sep(X4,sep(lseg(X1,X2),sep(lseg(X1,X3),X5)))) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,hypothesis,
heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x9,x1),sep(lseg(x13,x12),sep(lseg(x12,x8),sep(lseg(x11,x13),sep(lseg(x11,x3),sep(lseg(x3,x9),sep(lseg(x5,x10),sep(lseg(x1,x7),sep(lseg(x2,x12),sep(lseg(x2,x11),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)],[c_0_11,c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]) ).
cnf(c_0_14,hypothesis,
x9 != x14,
premise_6 ).
cnf(c_0_15,hypothesis,
x1 = x9,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]) ).
cnf(c_0_16,axiom,
sep(lseg(X1,X1),X2) = X2,
normalization ).
cnf(c_0_17,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_18,hypothesis,
heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x9,x7),sep(lseg(x13,x12),sep(lseg(x12,x8),sep(lseg(x11,x13),sep(lseg(x11,x3),sep(lseg(x3,x9),sep(lseg(x5,x10),sep(lseg(x2,x12),sep(lseg(x2,x11),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(spm,[status(thm)],[c_0_13,c_0_15]),c_0_16]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]) ).
cnf(c_0_19,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_17,c_0_10]) ).
cnf(c_0_20,hypothesis,
x7 = x9,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_18]),c_0_14]) ).
cnf(c_0_21,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_12,c_0_10]) ).
cnf(c_0_22,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_19,c_0_10]) ).
cnf(c_0_23,hypothesis,
heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x13,x12),sep(lseg(x12,x8),sep(lseg(x11,x13),sep(lseg(x11,x3),sep(lseg(x3,x9),sep(lseg(x5,x10),sep(lseg(x2,x12),sep(lseg(x2,x11),emp))))))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_20]),c_0_15]),c_0_15]),c_0_16]),c_0_16]) ).
cnf(c_0_24,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_21,c_0_10]) ).
cnf(c_0_25,hypothesis,
( x8 = x14
| heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x13,x8),sep(lseg(x11,x13),sep(lseg(x11,x3),sep(lseg(x3,x9),sep(lseg(x5,x10),sep(lseg(x2,x12),sep(lseg(x2,x11),emp)))))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_8]),c_0_8]) ).
cnf(c_0_26,hypothesis,
( x8 = x14
| x3 = x11
| x11 = x13 ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_27,hypothesis,
( x11 = x13
| x8 = x14
| heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x13,x8),sep(lseg(x11,x9),sep(lseg(x11,x13),sep(lseg(x5,x10),sep(lseg(x2,x12),sep(lseg(x2,x11),emp))))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_16]),c_0_8]) ).
cnf(c_0_28,hypothesis,
( x8 = x14
| x11 = x13
| x11 = x9 ),
inference(spm,[status(thm)],[c_0_24,c_0_27]) ).
cnf(c_0_29,hypothesis,
( x11 = x9
| x8 = x14
| heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x13,x8),sep(lseg(x13,x3),sep(lseg(x3,x9),sep(lseg(x5,x10),sep(lseg(x2,x13),sep(lseg(x2,x12),emp))))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_28]),c_0_16]),c_0_8]) ).
cnf(c_0_30,hypothesis,
( x8 = x14
| x11 = x9
| x13 = x8
| x3 = x13 ),
inference(spm,[status(thm)],[c_0_21,c_0_29]) ).
cnf(c_0_31,hypothesis,
( x13 = x8
| x8 = x14
| x11 = x9
| heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x13,x8),sep(lseg(x13,x9),sep(lseg(x5,x10),sep(lseg(x2,x13),sep(lseg(x2,x12),emp)))))))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_16]) ).
cnf(c_0_32,hypothesis,
( x11 = x9
| x8 = x14
| x13 != x9 ),
inference(ef,[status(thm)],[c_0_28]) ).
cnf(c_0_33,hypothesis,
( x11 = x9
| x8 = x14
| x13 = x8 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_31]),c_0_32]) ).
cnf(c_0_34,hypothesis,
( x13 = x8
| x8 = x14
| heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x9,x13),sep(lseg(x9,x3),sep(lseg(x13,x8),sep(lseg(x3,x9),sep(lseg(x5,x10),sep(lseg(x2,x9),sep(lseg(x2,x12),emp)))))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_33]),c_0_8]),c_0_8]),c_0_8]) ).
cnf(c_0_35,hypothesis,
( x8 = x14
| x13 = x8
| x13 = x9 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_34]),c_0_14]) ).
cnf(c_0_36,hypothesis,
( x13 = x8
| x8 = x14
| heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x9,x8),sep(lseg(x11,x9),sep(lseg(x11,x3),sep(lseg(x3,x9),sep(lseg(x5,x10),sep(lseg(x2,x12),sep(lseg(x2,x11),emp)))))))))) ),
inference(spm,[status(thm)],[c_0_25,c_0_35]) ).
cnf(c_0_37,hypothesis,
( x13 = x8
| x8 = x14
| x9 != x8 ),
inference(ef,[status(thm)],[c_0_35]) ).
cnf(c_0_38,hypothesis,
( x8 = x14
| x13 = x8 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_36]),c_0_14]),c_0_37]) ).
cnf(c_0_39,hypothesis,
( x8 = x14
| x11 = x9
| heap(sep(lseg(x8,x14),sep(lseg(x8,x3),sep(lseg(x9,x14),sep(lseg(x3,x9),sep(lseg(x5,x10),sep(lseg(x2,x8),sep(lseg(x2,x12),emp)))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_38]),c_0_16]),c_0_8]) ).
cnf(c_0_40,hypothesis,
( x8 = x14
| heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x11,x8),sep(lseg(x11,x3),sep(lseg(x3,x9),sep(lseg(x5,x10),sep(lseg(x2,x12),sep(lseg(x2,x11),emp))))))))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_38]),c_0_16]) ).
cnf(c_0_41,hypothesis,
( x11 = x9
| x8 = x14
| x3 = x8 ),
inference(spm,[status(thm)],[c_0_9,c_0_39]) ).
cnf(c_0_42,hypothesis,
( x8 = x14
| x11 = x8
| x3 = x11 ),
inference(spm,[status(thm)],[c_0_21,c_0_40]) ).
cnf(c_0_43,hypothesis,
( x11 = x8
| x8 = x14
| x11 = x9 ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_44,hypothesis,
( x11 = x8
| x8 = x14
| heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x9,x13),sep(lseg(x9,x3),sep(lseg(x13,x8),sep(lseg(x3,x9),sep(lseg(x5,x10),sep(lseg(x2,x9),sep(lseg(x2,x12),emp)))))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_43]),c_0_8]),c_0_8]),c_0_8]) ).
cnf(c_0_45,hypothesis,
( x8 = x14
| x11 = x8
| x13 = x9 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_44]),c_0_14]) ).
cnf(c_0_46,hypothesis,
( x13 = x9
| x8 = x14
| heap(sep(lseg(x8,x14),sep(lseg(x8,x3),sep(lseg(x9,x14),sep(lseg(x3,x9),sep(lseg(x5,x10),sep(lseg(x2,x8),sep(lseg(x2,x12),emp)))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_45]),c_0_16]),c_0_8]),c_0_8]) ).
cnf(c_0_47,hypothesis,
( x11 = x9
| x8 = x14
| heap(sep(lseg(x8,x14),sep(lseg(x8,x9),sep(lseg(x9,x14),sep(lseg(x5,x10),sep(lseg(x2,x8),sep(lseg(x2,x12),emp))))))) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_41]),c_0_16]),c_0_8]),c_0_32]) ).
cnf(c_0_48,hypothesis,
( x8 = x14
| x11 = x9
| x9 != x8 ),
inference(spm,[status(thm)],[c_0_32,c_0_38]) ).
cnf(c_0_49,hypothesis,
( x11 = x9
| x8 = x14 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_47]),c_0_48]) ).
cnf(c_0_50,hypothesis,
( x13 = x9
| x9 = x8
| x8 = x14 ),
inference(spm,[status(thm)],[c_0_45,c_0_49]) ).
cnf(c_0_51,hypothesis,
( x9 = x8
| x8 = x14 ),
inference(spm,[status(thm)],[c_0_38,c_0_50]) ).
cnf(c_0_52,hypothesis,
( x8 = x14
| heap(sep(lseg(x8,x14),sep(lseg(x8,x14),sep(lseg(x8,x9),sep(lseg(x13,x12),sep(lseg(x12,x8),sep(lseg(x11,x13),sep(lseg(x11,x3),sep(lseg(x3,x8),sep(lseg(x5,x10),sep(lseg(x2,x12),sep(lseg(x2,x11),emp)))))))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_51]),c_0_15]),c_0_15]),c_0_20]),c_0_16]) ).
cnf(c_0_53,hypothesis,
x8 = x14,
inference(spm,[status(thm)],[c_0_9,c_0_52]) ).
cnf(c_0_54,hypothesis,
heap(sep(lseg(x9,x14),sep(lseg(x13,x12),sep(lseg(x12,x14),sep(lseg(x11,x13),sep(lseg(x11,x3),sep(lseg(x3,x9),sep(lseg(x5,x10),sep(lseg(x2,x12),sep(lseg(x2,x11),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(spm,[status(thm)],[c_0_13,c_0_53]),c_0_15]),c_0_15]),c_0_20]),c_0_16]),c_0_16]),c_0_16]) ).
cnf(c_0_55,hypothesis,
( x3 = x11
| x11 = x13 ),
inference(spm,[status(thm)],[c_0_24,c_0_54]) ).
cnf(c_0_56,hypothesis,
( x11 = x13
| heap(sep(lseg(x9,x14),sep(lseg(x13,x12),sep(lseg(x12,x14),sep(lseg(x11,x9),sep(lseg(x11,x13),sep(lseg(x5,x10),sep(lseg(x2,x12),sep(lseg(x2,x11),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(spm,[status(thm)],[c_0_13,c_0_55]),c_0_53]),c_0_15]),c_0_53]),c_0_15]),c_0_20]),c_0_16]),c_0_16]),c_0_8]),c_0_16]),c_0_16]) ).
cnf(c_0_57,hypothesis,
( x11 = x13
| x11 = x9 ),
inference(spm,[status(thm)],[c_0_24,c_0_56]) ).
cnf(c_0_58,hypothesis,
( x11 = x9
| heap(sep(lseg(x9,x14),sep(lseg(x13,x12),sep(lseg(x13,x3),sep(lseg(x12,x14),sep(lseg(x3,x9),sep(lseg(x5,x10),sep(lseg(x2,x13),sep(lseg(x2,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(spm,[status(thm)],[c_0_13,c_0_57]),c_0_53]),c_0_15]),c_0_53]),c_0_15]),c_0_20]),c_0_8]),c_0_16]),c_0_16]),c_0_16]),c_0_16]),c_0_8]) ).
cnf(c_0_59,hypothesis,
( x11 = x9
| x3 = x13
| x12 = x13 ),
inference(spm,[status(thm)],[c_0_12,c_0_58]) ).
cnf(c_0_60,hypothesis,
( x12 = x13
| x11 = x9
| heap(sep(lseg(x9,x14),sep(lseg(x13,x9),sep(lseg(x13,x12),sep(lseg(x12,x14),sep(lseg(x5,x10),sep(lseg(x2,x13),sep(lseg(x2,x12),emp)))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_16]),c_0_8]),c_0_8]) ).
cnf(c_0_61,hypothesis,
( x11 = x9
| x13 != x9 ),
inference(ef,[status(thm)],[c_0_57]) ).
cnf(c_0_62,hypothesis,
( x11 = x9
| x12 = x13 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_60]),c_0_61]) ).
cnf(c_0_63,hypothesis,
( x12 = x13
| heap(sep(lseg(x9,x14),sep(lseg(x9,x13),sep(lseg(x9,x3),sep(lseg(x13,x12),sep(lseg(x12,x14),sep(lseg(x3,x9),sep(lseg(x5,x10),sep(lseg(x2,x9),sep(lseg(x2,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(spm,[status(thm)],[c_0_13,c_0_62]),c_0_53]),c_0_15]),c_0_53]),c_0_15]),c_0_20]),c_0_8]),c_0_16]),c_0_16]),c_0_16]),c_0_8]),c_0_8]),c_0_8]),c_0_8]) ).
cnf(c_0_64,hypothesis,
( x12 = x13
| x13 = x9 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_63]),c_0_14]) ).
cnf(c_0_65,hypothesis,
( x11 = x9
| heap(sep(lseg(x9,x14),sep(lseg(x13,x14),sep(lseg(x13,x3),sep(lseg(x3,x9),sep(lseg(x5,x10),sep(lseg(x2,x13),sep(lseg(x2,x13),emp)))))))) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_64]),c_0_16]),c_0_8]),c_0_61]) ).
cnf(c_0_66,axiom,
( heap(sep(lseg(X1,nil),X3))
| ~ heap(sep(lseg(X1,X2),sep(lseg(X2,nil),X3))) ),
unfolding_3 ).
cnf(c_0_67,hypothesis,
( x11 = x9
| heap(sep(lseg(x9,x14),sep(lseg(x13,x14),sep(lseg(x13,x9),sep(lseg(x5,x10),sep(lseg(x2,x13),sep(lseg(x2,x13),emp))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_65]),c_0_14]),c_0_8]),c_0_8]) ).
cnf(c_0_68,hypothesis,
x13 != x14,
premise_7 ).
cnf(c_0_69,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_66,c_0_8]) ).
cnf(c_0_70,hypothesis,
x11 = x9,
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_67]),c_0_68]),c_0_61]) ).
cnf(c_0_71,plain,
( heap(sep(lseg(X1,nil),sep(X2,X3)))
| ~ heap(sep(X2,sep(lseg(X1,nil),X3))) ),
inference(spm,[status(thm)],[c_0_69,c_0_16]) ).
cnf(c_0_72,hypothesis,
heap(sep(lseg(x9,x14),sep(lseg(x9,x13),sep(lseg(x9,x3),sep(lseg(x13,x12),sep(lseg(x12,x14),sep(lseg(x3,x9),sep(lseg(x5,x10),sep(lseg(x2,x9),sep(lseg(x2,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(spm,[status(thm)],[c_0_13,c_0_70]),c_0_53]),c_0_15]),c_0_53]),c_0_15]),c_0_20]),c_0_8]),c_0_16]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_16]),c_0_16]) ).
cnf(c_0_73,plain,
( X1 = X2
| X1 = X3
| ~ heap(sep(lseg(X1,X2),sep(X4,sep(lseg(X1,X3),X5)))) ),
inference(spm,[status(thm)],[c_0_9,c_0_8]) ).
cnf(c_0_74,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_71,c_0_10]) ).
cnf(c_0_75,hypothesis,
x13 = x9,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_72]),c_0_14]) ).
cnf(c_0_76,hypothesis,
x3 = x9,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_72]),c_0_14]) ).
cnf(c_0_77,plain,
( heap(sep(X1,sep(X2,X3)))
| ~ heap(sep(X2,sep(X1,X3))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_16]),c_0_16]) ).
cnf(c_0_78,hypothesis,
heap(sep(lseg(x9,x14),sep(lseg(x9,x12),sep(lseg(x12,x14),sep(lseg(x5,x10),sep(lseg(x2,x9),sep(lseg(x2,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(spm,[status(thm)],[c_0_13,c_0_75]),c_0_53]),c_0_15]),c_0_53]),c_0_70]),c_0_70]),c_0_15]),c_0_20]),c_0_70]),c_0_8]),c_0_16]),c_0_16]),c_0_8]),c_0_16]),c_0_16]),c_0_76]),c_0_76]),c_0_16]),c_0_16]) ).
cnf(c_0_79,plain,
( heap(sep(X1,sep(X2,sep(X3,X4))))
| ~ heap(sep(X3,sep(X2,sep(X1,X4)))) ),
inference(spm,[status(thm)],[c_0_77,c_0_10]) ).
cnf(c_0_80,hypothesis,
x12 = x9,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_78]),c_0_14]) ).
cnf(c_0_81,hypothesis,
heap(sep(lseg(x9,x14),sep(lseg(x9,x14),sep(lseg(x5,x10),sep(lseg(x2,x9),sep(lseg(x2,x9),emp)))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_78]),c_0_80]),c_0_80]),c_0_80]),c_0_16]) ).
cnf(c_0_82,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_81]),c_0_14]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW434-1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Aug 27 20:29:09 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.60 start to proof: theBenchmark
% 2.90/3.05 % Version : CSE_E---1.5
% 2.90/3.05 % Problem : theBenchmark.p
% 2.90/3.05 % Proof found
% 2.90/3.05 % SZS status Theorem for theBenchmark.p
% 2.90/3.05 % SZS output start Proof
% See solution above
% 2.90/3.06 % Total time : 2.413000 s
% 2.90/3.06 % SZS output end Proof
% 2.90/3.06 % Total time : 2.417000 s
%------------------------------------------------------------------------------