TSTP Solution File: SWW436-1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWW436-1 : 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 : n012.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 0.20s 0.59s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 26
% Syntax : Number of formulae : 49 ( 20 unt; 20 typ; 0 def)
% Number of atoms : 40 ( 26 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 17 ( 6 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 18 ( 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 : 19 ( 19 usr; 16 con; 0-2 aty)
% Number of variables : 18 ( 2 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,
x3: $i ).
tff(decl_30,type,
x13: $i ).
tff(decl_31,type,
x4: $i ).
tff(decl_32,type,
x7: $i ).
tff(decl_33,type,
x12: $i ).
tff(decl_34,type,
x1: $i ).
tff(decl_35,type,
x10: $i ).
tff(decl_36,type,
x15: $i ).
tff(decl_37,type,
x2: $i ).
tff(decl_38,type,
x9: $i ).
tff(decl_39,type,
x5: $i ).
tff(decl_40,type,
x8: $i ).
tff(decl_41,type,
emp: $i ).
cnf(premise_9,hypothesis,
heap(sep(lseg(x13,x2),sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x5),sep(lseg(x1,x6),sep(lseg(x8,x14),sep(lseg(x8,x15),sep(lseg(x8,x1),sep(lseg(x14,x8),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_9) ).
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(normalization,axiom,
sep(lseg(X1,X1),X2) = X2,
file('/export/starexec/sandbox/benchmark/Axioms/SWV013-0.ax',normalization) ).
cnf(premise_4,hypothesis,
x4 != x6,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_4) ).
cnf(premise_5,hypothesis,
x4 != x7,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_5) ).
cnf(c_0_6,hypothesis,
heap(sep(lseg(x13,x2),sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x5),sep(lseg(x1,x6),sep(lseg(x8,x14),sep(lseg(x8,x15),sep(lseg(x8,x1),sep(lseg(x14,x8),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
premise_9 ).
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,hypothesis,
heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x6,x2),sep(lseg(x2,x9),sep(lseg(x2,x15),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x15,x4),sep(lseg(x3,x10),sep(lseg(x13,x2),sep(lseg(x14,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(rw,[status(thm)],[inference(rw,[status(thm)],[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_6,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_10,hypothesis,
( x9 = x4
| x13 = x4 ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_11,axiom,
sep(lseg(X1,X1),X2) = X2,
normalization ).
cnf(c_0_12,hypothesis,
( x9 = x4
| heap(sep(lseg(x4,x9),sep(lseg(x6,x2),sep(lseg(x2,x9),sep(lseg(x2,x15),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x15,x4),sep(lseg(x3,x10),sep(lseg(x4,x2),sep(lseg(x14,x8),emp)))))))))))))))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]) ).
cnf(c_0_13,hypothesis,
( x9 = x4
| heap(sep(lseg(x4,x2),sep(lseg(x4,x9),sep(lseg(x6,x2),sep(lseg(x2,x9),sep(lseg(x2,x15),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x15,x4),sep(lseg(x3,x10),sep(lseg(x14,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(spm,[status(thm)],[c_0_12,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_14,hypothesis,
( x2 = x4
| x9 = x4 ),
inference(spm,[status(thm)],[c_0_8,c_0_13]) ).
cnf(c_0_15,hypothesis,
( x2 = x4
| heap(sep(lseg(x4,x6),sep(lseg(x4,x13),sep(lseg(x4,x7),sep(lseg(x6,x2),sep(lseg(x2,x4),sep(lseg(x2,x15),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x15,x4),sep(lseg(x3,x10),sep(lseg(x13,x2),sep(lseg(x14,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(spm,[status(thm)],[c_0_9,c_0_14]),c_0_11]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]) ).
cnf(c_0_16,hypothesis,
x4 != x6,
premise_4 ).
cnf(c_0_17,hypothesis,
( x2 = x4
| x13 = x4 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_15]),c_0_16]) ).
cnf(c_0_18,hypothesis,
( x2 = x4
| heap(sep(lseg(x4,x6),sep(lseg(x4,x2),sep(lseg(x4,x7),sep(lseg(x6,x2),sep(lseg(x2,x4),sep(lseg(x2,x15),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x15,x4),sep(lseg(x3,x10),sep(lseg(x14,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(spm,[status(thm)],[c_0_15,c_0_17]),c_0_11]),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_19,hypothesis,
x2 = x4,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_18]),c_0_16]) ).
cnf(c_0_20,hypothesis,
heap(sep(lseg(x4,x9),sep(lseg(x4,x9),sep(lseg(x4,x15),sep(lseg(x4,x13),sep(lseg(x6,x4),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x15,x4),sep(lseg(x3,x10),sep(lseg(x13,x4),sep(lseg(x14,x8),emp))))))))))))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_19]),c_0_7]),c_0_7]),c_0_7]),c_0_7]) ).
cnf(c_0_21,hypothesis,
x9 = x4,
inference(spm,[status(thm)],[c_0_8,c_0_20]) ).
cnf(c_0_22,hypothesis,
heap(sep(lseg(x4,x6),sep(lseg(x4,x15),sep(lseg(x4,x13),sep(lseg(x4,x7),sep(lseg(x6,x4),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x15,x4),sep(lseg(x3,x10),sep(lseg(x13,x4),sep(lseg(x14,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(spm,[status(thm)],[c_0_9,c_0_21]),c_0_11]),c_0_19]),c_0_19]),c_0_7]),c_0_7]),c_0_19]),c_0_19]),c_0_11]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]) ).
cnf(c_0_23,hypothesis,
x15 = x4,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_22]),c_0_16]) ).
cnf(c_0_24,hypothesis,
heap(sep(lseg(x4,x6),sep(lseg(x4,x13),sep(lseg(x4,x7),sep(lseg(x6,x4),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x8,x4),sep(lseg(x8,x1),sep(lseg(x8,x14),sep(lseg(x3,x10),sep(lseg(x13,x4),sep(lseg(x14,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(spm,[status(thm)],[c_0_9,c_0_23]),c_0_21]),c_0_19]),c_0_19]),c_0_21]),c_0_19]),c_0_21]),c_0_21]),c_0_19]),c_0_11]),c_0_11]),c_0_11]),c_0_11]),c_0_7]),c_0_7]),c_0_7]),c_0_7]) ).
cnf(c_0_25,hypothesis,
x13 = x4,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_24]),c_0_16]) ).
cnf(c_0_26,hypothesis,
heap(sep(lseg(x4,x6),sep(lseg(x4,x7),sep(lseg(x6,x4),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x8,x4),sep(lseg(x8,x1),sep(lseg(x8,x14),sep(lseg(x3,x10),sep(lseg(x14,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(spm,[status(thm)],[c_0_9,c_0_25]),c_0_21]),c_0_11]),c_0_19]),c_0_19]),c_0_21]),c_0_19]),c_0_23]),c_0_21]),c_0_21]),c_0_23]),c_0_23]),c_0_7]),c_0_19]),c_0_11]),c_0_11]),c_0_11]),c_0_11]),c_0_11]),c_0_7]),c_0_7]),c_0_7]) ).
cnf(c_0_27,hypothesis,
x4 != x7,
premise_5 ).
cnf(c_0_28,hypothesis,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_26]),c_0_27]),c_0_16]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW436-1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n012.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 20:24:24 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.56 start to proof: theBenchmark
% 0.20/0.59 % Version : CSE_E---1.5
% 0.20/0.59 % Problem : theBenchmark.p
% 0.20/0.59 % Proof found
% 0.20/0.59 % SZS status Theorem for theBenchmark.p
% 0.20/0.59 % SZS output start Proof
% See solution above
% 0.20/0.59 % Total time : 0.015000 s
% 0.20/0.59 % SZS output end Proof
% 0.20/0.59 % Total time : 0.018000 s
%------------------------------------------------------------------------------