TSTP Solution File: SWW430-1 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWW430-1 : 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 : n032.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 00:17:44 EDT 2023
% Result : Unsatisfiable 0.15s 0.71s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 25
% Syntax : Number of formulae : 61 ( 22 unt; 18 typ; 0 def)
% Number of atoms : 73 ( 43 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 43 ( 13 ~; 30 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 19 ( 3 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 : 17 ( 17 usr; 14 con; 0-2 aty)
% Number of variables : 60 ( 7 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,
x3: $i ).
tff(decl_28,type,
x11: $i ).
tff(decl_29,type,
x12: $i ).
tff(decl_30,type,
x7: $i ).
tff(decl_31,type,
x2: $i ).
tff(decl_32,type,
x10: $i ).
tff(decl_33,type,
x5: $i ).
tff(decl_34,type,
x4: $i ).
tff(decl_35,type,
x1: $i ).
tff(decl_36,type,
x6: $i ).
tff(decl_37,type,
x9: $i ).
tff(decl_38,type,
x8: $i ).
tff(decl_39,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_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/benchmark/theBenchmark.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/benchmark/Axioms/SWV013-0.ax',unfolding_5) ).
cnf(normalization,axiom,
sep(lseg(X1,X1),X2) = X2,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax',normalization) ).
cnf(premise_2,hypothesis,
x3 != x12,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_2) ).
cnf(premise_1,hypothesis,
x3 != x11,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_1) ).
cnf(c_0_7,axiom,
sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
associative_commutative ).
cnf(c_0_8,axiom,
( X1 = X2
| X1 = X3
| ~ heap(sep(lseg(X1,X2),sep(lseg(X1,X3),X4))) ),
wellformedness_5 ).
cnf(c_0_9,plain,
sep(X1,sep(X2,sep(X3,X4))) = sep(X3,sep(X1,sep(X2,X4))),
inference(spm,[status(thm)],[c_0_7,c_0_7]) ).
cnf(c_0_10,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_11,plain,
( X1 = X2
| X1 = X3
| ~ heap(sep(X4,sep(lseg(X1,X2),sep(lseg(X1,X3),X5)))) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,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_10,c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]) ).
cnf(c_0_13,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_14,hypothesis,
( x6 = x12
| x1 = x12 ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,axiom,
sep(lseg(X1,X1),X2) = X2,
normalization ).
cnf(c_0_16,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_13,c_0_7]) ).
cnf(c_0_17,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(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_10,c_0_14]),c_0_15]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]) ).
cnf(c_0_18,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_16,c_0_17]),c_0_15]) ).
cnf(c_0_19,hypothesis,
x3 != x12,
premise_2 ).
cnf(c_0_20,hypothesis,
x3 != x11,
premise_1 ).
cnf(c_0_21,hypothesis,
x1 = x12,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_18]),c_0_19]),c_0_20]) ).
cnf(c_0_22,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(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_10,c_0_21]),c_0_15]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]) ).
cnf(c_0_23,hypothesis,
( x9 = x12
| x6 = x12 ),
inference(spm,[status(thm)],[c_0_11,c_0_22]) ).
cnf(c_0_24,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(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_10,c_0_23]),c_0_21]),c_0_21]),c_0_21]),c_0_21]),c_0_15]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_15]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]) ).
cnf(c_0_25,hypothesis,
( x8 = x12
| x6 = x12 ),
inference(spm,[status(thm)],[c_0_11,c_0_24]) ).
cnf(c_0_26,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_24,c_0_25]),c_0_15]),c_0_7]) ).
cnf(c_0_27,hypothesis,
( x10 = x12
| x6 = x12 ),
inference(spm,[status(thm)],[c_0_11,c_0_26]) ).
cnf(c_0_28,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_11,c_0_9]) ).
cnf(c_0_29,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_26,c_0_27]),c_0_15]) ).
cnf(c_0_30,hypothesis,
x6 = x12,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_20]),c_0_19]) ).
cnf(c_0_31,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_13,c_0_7]) ).
cnf(c_0_32,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_12,c_0_30]),c_0_21]),c_0_15]),c_0_21]),c_0_21]),c_0_7]),c_0_21]),c_0_15]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]) ).
cnf(c_0_33,plain,
( X1 = X2
| heap(sep(lseg(X3,X1),sep(X4,sep(lseg(X1,X2),X5))))
| ~ heap(sep(lseg(X6,X1),sep(lseg(X3,X6),sep(X4,sep(lseg(X1,X2),X5))))) ),
inference(spm,[status(thm)],[c_0_31,c_0_7]) ).
cnf(c_0_34,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_16,c_0_32]),c_0_15]) ).
cnf(c_0_35,hypothesis,
( x8 = 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_33,c_0_32]),c_0_15]) ).
cnf(c_0_36,hypothesis,
x9 = x12,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_34]),c_0_19]) ).
cnf(c_0_37,hypothesis,
x8 = x12,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_35]),c_0_19]) ).
cnf(c_0_38,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(spm,[status(thm)],[c_0_12,c_0_36]),c_0_21]),c_0_30]),c_0_21]),c_0_30]),c_0_30]),c_0_21]),c_0_21]),c_0_30]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_15]),c_0_15]),c_0_15]),c_0_37]),c_0_37]),c_0_37]),c_0_15]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]) ).
cnf(c_0_39,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_16,c_0_38]),c_0_15]) ).
cnf(c_0_40,hypothesis,
x10 = x12,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_39]),c_0_19]) ).
cnf(c_0_41,hypothesis,
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,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(spm,[status(thm)],[c_0_12,c_0_37]),c_0_21]),c_0_30]),c_0_21]),c_0_30]),c_0_30]),c_0_21]),c_0_36]),c_0_21]),c_0_30]),c_0_7]),c_0_36]),c_0_36]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_15]),c_0_15]),c_0_15]),c_0_15]),c_0_7]),c_0_7]),c_0_40]),c_0_15]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]) ).
cnf(c_0_42,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_41]),c_0_19]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWW430-1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.11 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.09/0.30 % Computer : n032.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Sun Aug 27 19:05:45 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.15/0.47 start to proof: theBenchmark
% 0.15/0.71 % Version : CSE_E---1.5
% 0.15/0.71 % Problem : theBenchmark.p
% 0.15/0.71 % Proof found
% 0.15/0.71 % SZS status Theorem for theBenchmark.p
% 0.15/0.71 % SZS output start Proof
% See solution above
% 0.15/0.72 % Total time : 0.228000 s
% 0.15/0.72 % SZS output end Proof
% 0.15/0.72 % Total time : 0.231000 s
%------------------------------------------------------------------------------