TSTP Solution File: SWW443-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWW443-1 : 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 : n031.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 00:17:47 EDT 2023
% Result : Unsatisfiable 0.20s 0.64s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 32
% Syntax : Number of formulae : 56 ( 22 unt; 25 typ; 0 def)
% Number of atoms : 43 ( 30 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 22 ( 10 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 15 ( 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 : 24 ( 24 usr; 21 con; 0-2 aty)
% Number of variables : 27 ( 4 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,
x13: $i ).
tff(decl_29,type,
x11: $i ).
tff(decl_30,type,
x16: $i ).
tff(decl_31,type,
x15: $i ).
tff(decl_32,type,
x3: $i ).
tff(decl_33,type,
x4: $i ).
tff(decl_34,type,
x5: $i ).
tff(decl_35,type,
x17: $i ).
tff(decl_36,type,
x18: $i ).
tff(decl_37,type,
x2: $i ).
tff(decl_38,type,
x8: $i ).
tff(decl_39,type,
x14: $i ).
tff(decl_40,type,
x9: $i ).
tff(decl_41,type,
x19: $i ).
tff(decl_42,type,
x1: $i ).
tff(decl_43,type,
x10: $i ).
tff(decl_44,type,
x12: $i ).
tff(decl_45,type,
x7: $i ).
tff(decl_46,type,
emp: $i ).
cnf(premise_23,hypothesis,
heap(sep(lseg(x10,x1),sep(lseg(x18,x15),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x12,x13),sep(lseg(x2,x5),sep(lseg(x2,x12),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_23) ).
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_19,hypothesis,
x1 != x14,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_19) ).
cnf(premise_8,hypothesis,
x2 != x8,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_8) ).
cnf(premise_22,hypothesis,
x5 != x15,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_22) ).
cnf(c_0_7,hypothesis,
heap(sep(lseg(x10,x1),sep(lseg(x18,x15),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x12,x13),sep(lseg(x2,x5),sep(lseg(x2,x12),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
premise_23 ).
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,hypothesis,
heap(sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x18,x15),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x9,x5),sep(lseg(x12,x13),sep(lseg(x7,x5),sep(lseg(x10,x1),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)],[c_0_7,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_11,hypothesis,
( x14 = x1
| x3 = x1 ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_12,axiom,
sep(lseg(X1,X1),X2) = X2,
normalization ).
cnf(c_0_13,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_14,hypothesis,
( x14 = x1
| heap(sep(lseg(x1,x14),sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x18,x15),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x9,x5),sep(lseg(x12,x13),sep(lseg(x7,x5),sep(lseg(x10,x1),emp))))))))))))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]) ).
cnf(c_0_15,hypothesis,
x1 != x14,
premise_19 ).
cnf(c_0_16,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_13]) ).
cnf(c_0_17,hypothesis,
heap(sep(lseg(x1,x14),sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x18,x15),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x9,x5),sep(lseg(x12,x13),sep(lseg(x7,x5),sep(lseg(x10,x1),emp))))))))))))),
inference(sr,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,hypothesis,
( x18 = x2
| x5 = x2 ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_19,hypothesis,
x3 = x1,
inference(sr,[status(thm)],[c_0_11,c_0_15]) ).
cnf(c_0_20,hypothesis,
( x5 = x2
| heap(sep(lseg(x1,x14),sep(lseg(x2,x5),sep(lseg(x2,x15),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x9,x5),sep(lseg(x12,x13),sep(lseg(x7,x5),sep(lseg(x10,x1),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_10,c_0_18]),c_0_19]),c_0_12]),c_0_12]),c_0_8]),c_0_8]) ).
cnf(c_0_21,hypothesis,
( x15 = x2
| x5 = x2 ),
inference(spm,[status(thm)],[c_0_16,c_0_20]) ).
cnf(c_0_22,hypothesis,
( x5 = x2
| heap(sep(lseg(x1,x14),sep(lseg(x2,x5),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x9,x5),sep(lseg(x12,x13),sep(lseg(x7,x5),sep(lseg(x10,x1),emp))))))))))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_12]) ).
cnf(c_0_23,hypothesis,
x2 != x8,
premise_8 ).
cnf(c_0_24,hypothesis,
x5 = x2,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_22]),c_0_23]) ).
cnf(c_0_25,hypothesis,
heap(sep(lseg(x1,x14),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x18,x15),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x9,x2),sep(lseg(x12,x13),sep(lseg(x7,x2),sep(lseg(x10,x1),emp)))))))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_24]),c_0_19]),c_0_12]),c_0_12]) ).
cnf(c_0_26,hypothesis,
x18 = x2,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_25]),c_0_23]) ).
cnf(c_0_27,hypothesis,
x5 != x15,
premise_22 ).
cnf(c_0_28,hypothesis,
heap(sep(lseg(x1,x14),sep(lseg(x2,x15),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x9,x2),sep(lseg(x12,x13),sep(lseg(x7,x2),sep(lseg(x10,x1),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(spm,[status(thm)],[c_0_10,c_0_26]),c_0_19]),c_0_24]),c_0_12]),c_0_8]),c_0_24]),c_0_24]),c_0_12]),c_0_12]),c_0_8]) ).
cnf(c_0_29,hypothesis,
x15 != x2,
inference(rw,[status(thm)],[c_0_27,c_0_24]) ).
cnf(c_0_30,hypothesis,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_28]),c_0_29]),c_0_23]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWW443-1 : TPTP v8.1.2. Released v5.2.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.35 % Computer : n031.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Sun Aug 27 21:13:39 EDT 2023
% 0.12/0.35 % CPUTime :
% 0.20/0.60 start to proof: theBenchmark
% 0.20/0.64 % Version : CSE_E---1.5
% 0.20/0.64 % Problem : theBenchmark.p
% 0.20/0.64 % Proof found
% 0.20/0.64 % SZS status Theorem for theBenchmark.p
% 0.20/0.64 % SZS output start Proof
% See solution above
% 0.20/0.65 % Total time : 0.035000 s
% 0.20/0.65 % SZS output end Proof
% 0.20/0.65 % Total time : 0.038000 s
%------------------------------------------------------------------------------