TSTP Solution File: SWW429-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWW429-1 : 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 : n020.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 00:17:43 EDT 2023
% Result : Unsatisfiable 1.20s 1.34s
% Output : CNFRefutation 1.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 26
% Syntax : Number of formulae : 74 ( 29 unt; 18 typ; 0 def)
% Number of atoms : 95 ( 66 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 60 ( 21 ~; 39 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 13 ( 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 : 17 ( 17 usr; 14 con; 0-2 aty)
% Number of variables : 70 ( 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,
x4: $i ).
tff(decl_28,type,
x7: $i ).
tff(decl_29,type,
x10: $i ).
tff(decl_30,type,
x3: $i ).
tff(decl_31,type,
x8: $i ).
tff(decl_32,type,
x2: $i ).
tff(decl_33,type,
x9: $i ).
tff(decl_34,type,
x5: $i ).
tff(decl_35,type,
x1: $i ).
tff(decl_36,type,
x12: $i ).
tff(decl_37,type,
x6: $i ).
tff(decl_38,type,
x11: $i ).
tff(decl_39,type,
emp: $i ).
cnf(premise_6,hypothesis,
heap(sep(lseg(x5,x1),sep(lseg(x7,x12),sep(lseg(x7,x8),sep(lseg(x3,x5),sep(lseg(x3,x12),sep(lseg(x4,x12),sep(lseg(x4,x7),sep(lseg(x1,x6),sep(lseg(x6,x9),sep(lseg(x6,x7),sep(lseg(x8,x11),emp)))))))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_6) ).
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(normalization,axiom,
sep(lseg(X1,X1),X2) = X2,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax',normalization) ).
cnf(premise_1,hypothesis,
x4 != x7,
file('/export/starexec/sandbox2/benchmark/theBenchmark.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/sandbox2/benchmark/Axioms/SWV013-0.ax',unfolding_5) ).
cnf(premise_3,hypothesis,
x3 != x8,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_3) ).
cnf(premise_5,hypothesis,
x5 != x9,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_5) ).
cnf(c_0_8,hypothesis,
heap(sep(lseg(x5,x1),sep(lseg(x7,x12),sep(lseg(x7,x8),sep(lseg(x3,x5),sep(lseg(x3,x12),sep(lseg(x4,x12),sep(lseg(x4,x7),sep(lseg(x1,x6),sep(lseg(x6,x9),sep(lseg(x6,x7),sep(lseg(x8,x11),emp)))))))))))),
premise_6 ).
cnf(c_0_9,axiom,
sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
associative_commutative ).
cnf(c_0_10,axiom,
( X1 = X2
| X1 = X3
| ~ heap(sep(lseg(X1,X2),sep(lseg(X1,X3),X4))) ),
wellformedness_5 ).
cnf(c_0_11,hypothesis,
heap(sep(lseg(x7,x12),sep(lseg(x7,x8),sep(lseg(x4,x7),sep(lseg(x4,x12),sep(lseg(x5,x1),sep(lseg(x8,x11),sep(lseg(x3,x5),sep(lseg(x3,x12),sep(lseg(x6,x7),sep(lseg(x6,x9),sep(lseg(x1,x6),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)],[c_0_8,c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]) ).
cnf(c_0_12,plain,
sep(X1,sep(X2,sep(X3,X4))) = sep(X3,sep(X1,sep(X2,X4))),
inference(spm,[status(thm)],[c_0_9,c_0_9]) ).
cnf(c_0_13,hypothesis,
( x12 = x7
| x8 = x7 ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,axiom,
sep(lseg(X1,X1),X2) = X2,
normalization ).
cnf(c_0_15,plain,
( X1 = X2
| X1 = X3
| ~ heap(sep(X4,sep(lseg(X1,X2),sep(lseg(X1,X3),X5)))) ),
inference(spm,[status(thm)],[c_0_10,c_0_12]) ).
cnf(c_0_16,hypothesis,
( x12 = x7
| heap(sep(lseg(x7,x12),sep(lseg(x4,x7),sep(lseg(x4,x12),sep(lseg(x5,x1),sep(lseg(x7,x11),sep(lseg(x3,x5),sep(lseg(x3,x12),sep(lseg(x6,x7),sep(lseg(x6,x9),sep(lseg(x1,x6),emp))))))))))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_13]),c_0_14]) ).
cnf(c_0_17,hypothesis,
x4 != x7,
premise_1 ).
cnf(c_0_18,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_15,c_0_12]) ).
cnf(c_0_19,hypothesis,
( x12 = x7
| heap(sep(lseg(x7,x12),sep(lseg(x7,x11),sep(lseg(x4,x7),sep(lseg(x4,x12),sep(lseg(x5,x1),sep(lseg(x3,x5),sep(lseg(x3,x12),sep(lseg(x6,x7),sep(lseg(x6,x9),sep(lseg(x1,x6),emp))))))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_9]),c_0_9]),c_0_9]) ).
cnf(c_0_20,hypothesis,
( x12 = x7
| x12 = x4 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]) ).
cnf(c_0_21,hypothesis,
x12 = x4,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_11]),c_0_17]) ).
cnf(c_0_22,hypothesis,
( x12 = x7
| x11 = x7 ),
inference(spm,[status(thm)],[c_0_10,c_0_19]) ).
cnf(c_0_23,hypothesis,
( x12 = x7
| heap(sep(lseg(x7,x4),sep(lseg(x7,x8),sep(lseg(x4,x7),sep(lseg(x5,x1),sep(lseg(x8,x11),sep(lseg(x3,x4),sep(lseg(x3,x5),sep(lseg(x6,x7),sep(lseg(x6,x9),sep(lseg(x1,x6),emp))))))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_20]),c_0_14]),c_0_9]) ).
cnf(c_0_24,hypothesis,
x8 = x7,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_21]),c_0_17]) ).
cnf(c_0_25,hypothesis,
x11 = x7,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_21]),c_0_17]) ).
cnf(c_0_26,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_18,c_0_12]) ).
cnf(c_0_27,hypothesis,
heap(sep(lseg(x7,x4),sep(lseg(x4,x7),sep(lseg(x5,x1),sep(lseg(x3,x4),sep(lseg(x3,x5),sep(lseg(x6,x7),sep(lseg(x6,x9),sep(lseg(x1,x6),emp))))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_21]),c_0_17]),c_0_24]),c_0_24]),c_0_25]),c_0_14]),c_0_14]) ).
cnf(c_0_28,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_29,plain,
sep(X1,sep(X2,sep(X3,X4))) = sep(X3,sep(X2,sep(X1,X4))),
inference(spm,[status(thm)],[c_0_9,c_0_12]) ).
cnf(c_0_30,hypothesis,
( x3 = x5
| x3 = x4 ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_31,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_28,c_0_29]) ).
cnf(c_0_32,hypothesis,
( x3 = x4
| heap(sep(lseg(x7,x4),sep(lseg(x4,x7),sep(lseg(x5,x4),sep(lseg(x5,x1),sep(lseg(x6,x7),sep(lseg(x6,x9),sep(lseg(x1,x6),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_11,c_0_30]),c_0_21]),c_0_24]),c_0_21]),c_0_24]),c_0_25]),c_0_21]),c_0_14]),c_0_14]),c_0_14]),c_0_14]),c_0_9]) ).
cnf(c_0_33,hypothesis,
( x3 = x4
| x5 != x4 ),
inference(ef,[status(thm)],[c_0_30]) ).
cnf(c_0_34,hypothesis,
x3 != x8,
premise_3 ).
cnf(c_0_35,hypothesis,
( x3 = x4
| heap(sep(lseg(x7,x4),sep(lseg(x5,x7),sep(lseg(x5,x1),sep(lseg(x6,x7),sep(lseg(x6,x9),sep(lseg(x1,x6),emp))))))) ),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_17]),c_0_9]) ).
cnf(c_0_36,hypothesis,
( x3 = x4
| x1 = x5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_32]),c_0_33]) ).
cnf(c_0_37,hypothesis,
x3 != x7,
inference(rw,[status(thm)],[c_0_34,c_0_24]) ).
cnf(c_0_38,hypothesis,
x5 != x9,
premise_5 ).
cnf(c_0_39,hypothesis,
( x3 = x4
| x9 = x6
| x6 = x7 ),
inference(spm,[status(thm)],[c_0_26,c_0_35]) ).
cnf(c_0_40,hypothesis,
( x3 = x4
| heap(sep(lseg(x7,x4),sep(lseg(x5,x7),sep(lseg(x5,x6),sep(lseg(x6,x7),sep(lseg(x6,x9),emp)))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_14]),c_0_9]),c_0_9]) ).
cnf(c_0_41,hypothesis,
( x3 = x4
| x5 != x7 ),
inference(spm,[status(thm)],[c_0_37,c_0_30]) ).
cnf(c_0_42,hypothesis,
( x6 = x7
| x3 = x4
| x6 != x5 ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_43,hypothesis,
( x3 = x4
| x6 = x5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_40]),c_0_41]) ).
cnf(c_0_44,hypothesis,
x3 = x4,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_41]) ).
cnf(c_0_45,hypothesis,
heap(sep(lseg(x7,x4),sep(lseg(x4,x7),sep(lseg(x4,x5),sep(lseg(x5,x1),sep(lseg(x6,x7),sep(lseg(x6,x9),sep(lseg(x1,x6),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_11,c_0_44]),c_0_21]),c_0_24]),c_0_21]),c_0_24]),c_0_25]),c_0_21]),c_0_14]),c_0_14]),c_0_14]),c_0_14]),c_0_9]) ).
cnf(c_0_46,hypothesis,
x5 = x4,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_45]),c_0_17]) ).
cnf(c_0_47,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_28,c_0_9]) ).
cnf(c_0_48,hypothesis,
heap(sep(lseg(x7,x4),sep(lseg(x4,x7),sep(lseg(x4,x1),sep(lseg(x6,x7),sep(lseg(x6,x9),sep(lseg(x1,x6),emp))))))),
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_27,c_0_44]),c_0_14]),c_0_9]),c_0_46]),c_0_46]),c_0_14]) ).
cnf(c_0_49,plain,
( X1 = X2
| heap(sep(lseg(X3,X1),sep(lseg(X1,X2),sep(X4,X5))))
| ~ heap(sep(lseg(X6,X1),sep(lseg(X1,X2),sep(X4,sep(lseg(X3,X6),X5))))) ),
inference(spm,[status(thm)],[c_0_47,c_0_12]) ).
cnf(c_0_50,hypothesis,
x1 = x4,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_48]),c_0_17]) ).
cnf(c_0_51,hypothesis,
heap(sep(lseg(x4,x7),sep(lseg(x4,x6),sep(lseg(x6,x4),sep(lseg(x6,x9),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(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_48]),c_0_17]),c_0_50]),c_0_50]),c_0_9]),c_0_14]),c_0_9]),c_0_9]) ).
cnf(c_0_52,hypothesis,
( x9 = x6
| x6 = x7 ),
inference(spm,[status(thm)],[c_0_26,c_0_48]) ).
cnf(c_0_53,hypothesis,
x6 = x4,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_51]),c_0_17]) ).
cnf(c_0_54,hypothesis,
x9 != x4,
inference(rw,[status(thm)],[c_0_38,c_0_46]) ).
cnf(c_0_55,hypothesis,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_53]),c_0_53]),c_0_54]),c_0_17]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW429-1 : 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
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Aug 27 19:07:14 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.58 start to proof: theBenchmark
% 1.20/1.34 % Version : CSE_E---1.5
% 1.20/1.34 % Problem : theBenchmark.p
% 1.20/1.34 % Proof found
% 1.20/1.34 % SZS status Theorem for theBenchmark.p
% 1.20/1.34 % SZS output start Proof
% See solution above
% 1.20/1.35 % Total time : 0.760000 s
% 1.20/1.35 % SZS output end Proof
% 1.20/1.35 % Total time : 0.763000 s
%------------------------------------------------------------------------------