TSTP Solution File: SWW442-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWW442-1 : 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 : n024.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 0.52s 1.35s
% Output : CNFRefutation 0.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 32
% Syntax : Number of formulae : 60 ( 23 unt; 24 typ; 0 def)
% Number of atoms : 56 ( 40 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 35 ( 15 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 20 ( 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 : 23 ( 23 usr; 20 con; 0-2 aty)
% Number of variables : 52 ( 17 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,
x16: $i ).
tff(decl_30,type,
x11: $i ).
tff(decl_31,type,
x18: $i ).
tff(decl_32,type,
x17: $i ).
tff(decl_33,type,
x3: $i ).
tff(decl_34,type,
x12: $i ).
tff(decl_35,type,
x7: $i ).
tff(decl_36,type,
x14: $i ).
tff(decl_37,type,
x15: $i ).
tff(decl_38,type,
x9: $i ).
tff(decl_39,type,
x2: $i ).
tff(decl_40,type,
x8: $i ).
tff(decl_41,type,
x1: $i ).
tff(decl_42,type,
x10: $i ).
tff(decl_43,type,
x4: $i ).
tff(decl_44,type,
x5: $i ).
tff(decl_45,type,
emp: $i ).
cnf(premise_29,hypothesis,
heap(sep(lseg(x5,x14),sep(lseg(x13,x15),sep(lseg(x13,x12),sep(lseg(x13,x2),sep(lseg(x10,x11),sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x17,x10),sep(lseg(x2,x16),sep(lseg(x2,x6),sep(lseg(x9,x15),sep(lseg(x7,x12),sep(lseg(x7,x13),sep(lseg(x11,x9),emp))))))))))))))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_29) ).
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_14,hypothesis,
x2 != x6,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_14) ).
cnf(premise_1,hypothesis,
x6 != x13,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_1) ).
cnf(premise_23,hypothesis,
x4 != x13,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_23) ).
cnf(premise_21,hypothesis,
x4 != x11,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_21) ).
cnf(c_0_8,hypothesis,
heap(sep(lseg(x5,x14),sep(lseg(x13,x15),sep(lseg(x13,x12),sep(lseg(x13,x2),sep(lseg(x10,x11),sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x17,x10),sep(lseg(x2,x16),sep(lseg(x2,x6),sep(lseg(x9,x15),sep(lseg(x7,x12),sep(lseg(x7,x13),sep(lseg(x11,x9),emp))))))))))))))))))),
premise_29 ).
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(x13,x2),sep(lseg(x13,x15),sep(lseg(x13,x12),sep(lseg(x11,x9),sep(lseg(x2,x16),sep(lseg(x2,x6),sep(lseg(x15,x16),sep(lseg(x10,x11),sep(lseg(x4,x11),sep(lseg(x4,x15),sep(lseg(x17,x10),sep(lseg(x9,x15),sep(lseg(x7,x13),sep(lseg(x7,x12),sep(lseg(x5,x14),sep(lseg(x18,x11),sep(lseg(x18,x10),sep(lseg(x1,x5),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(rw,[status(thm)],[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]),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]),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]),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]),c_0_9]),c_0_9]),c_0_9]),c_0_9]) ).
cnf(c_0_12,hypothesis,
( x2 = x13
| x15 = x13 ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_13,axiom,
sep(lseg(X1,X1),X2) = X2,
normalization ).
cnf(c_0_14,hypothesis,
( x2 = x13
| heap(sep(lseg(x13,x2),sep(lseg(x13,x12),sep(lseg(x13,x16),sep(lseg(x11,x9),sep(lseg(x2,x16),sep(lseg(x2,x6),sep(lseg(x10,x11),sep(lseg(x4,x13),sep(lseg(x4,x11),sep(lseg(x17,x10),sep(lseg(x9,x13),sep(lseg(x7,x13),sep(lseg(x7,x12),sep(lseg(x5,x14),sep(lseg(x18,x11),sep(lseg(x18,x10),sep(lseg(x1,x5),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_11,c_0_12]),c_0_13]),c_0_9]),c_0_9]),c_0_9]),c_0_9]) ).
cnf(c_0_15,hypothesis,
( x2 = x13
| x12 = x13 ),
inference(spm,[status(thm)],[c_0_10,c_0_14]) ).
cnf(c_0_16,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_17,hypothesis,
( x2 = x13
| heap(sep(lseg(x13,x2),sep(lseg(x13,x16),sep(lseg(x11,x9),sep(lseg(x2,x16),sep(lseg(x2,x6),sep(lseg(x10,x11),sep(lseg(x4,x13),sep(lseg(x4,x11),sep(lseg(x17,x10),sep(lseg(x9,x13),sep(lseg(x7,x13),sep(lseg(x7,x13),sep(lseg(x5,x14),sep(lseg(x18,x11),sep(lseg(x18,x10),sep(lseg(x1,x5),emp))))))))))))))))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_13]) ).
cnf(c_0_18,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_16]) ).
cnf(c_0_19,hypothesis,
( x2 = x13
| x16 = x13 ),
inference(spm,[status(thm)],[c_0_10,c_0_17]) ).
cnf(c_0_20,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_18,c_0_16]) ).
cnf(c_0_21,hypothesis,
( x2 = x13
| heap(sep(lseg(x13,x2),sep(lseg(x11,x9),sep(lseg(x2,x13),sep(lseg(x2,x6),sep(lseg(x10,x11),sep(lseg(x4,x13),sep(lseg(x4,x11),sep(lseg(x17,x10),sep(lseg(x9,x13),sep(lseg(x7,x13),sep(lseg(x7,x13),sep(lseg(x5,x14),sep(lseg(x18,x11),sep(lseg(x18,x10),sep(lseg(x1,x5),emp)))))))))))))))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_19]),c_0_13]) ).
cnf(c_0_22,hypothesis,
x2 != x6,
premise_14 ).
cnf(c_0_23,hypothesis,
x2 = x13,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]) ).
cnf(c_0_24,plain,
( X1 = X2
| X1 = X3
| ~ heap(sep(lseg(X1,X2),sep(X4,sep(X5,sep(lseg(X1,X3),X6))))) ),
inference(spm,[status(thm)],[c_0_10,c_0_16]) ).
cnf(c_0_25,hypothesis,
heap(sep(lseg(x13,x15),sep(lseg(x13,x12),sep(lseg(x13,x16),sep(lseg(x13,x6),sep(lseg(x11,x9),sep(lseg(x15,x16),sep(lseg(x10,x11),sep(lseg(x4,x11),sep(lseg(x4,x15),sep(lseg(x17,x10),sep(lseg(x9,x15),sep(lseg(x7,x13),sep(lseg(x7,x12),sep(lseg(x5,x14),sep(lseg(x18,x11),sep(lseg(x18,x10),sep(lseg(x1,x5),emp)))))))))))))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_23]),c_0_13]),c_0_9]),c_0_9]) ).
cnf(c_0_26,hypothesis,
x6 != x13,
premise_1 ).
cnf(c_0_27,plain,
( X1 = X2
| X1 = X3
| ~ heap(sep(X4,sep(lseg(X1,X3),sep(X5,sep(lseg(X1,X2),X6))))) ),
inference(spm,[status(thm)],[c_0_18,c_0_9]) ).
cnf(c_0_28,hypothesis,
x15 = x13,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).
cnf(c_0_29,hypothesis,
x12 = x13,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_25]),c_0_26]) ).
cnf(c_0_30,hypothesis,
x16 = x13,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_25]),c_0_26]) ).
cnf(c_0_31,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_20,c_0_16]) ).
cnf(c_0_32,hypothesis,
heap(sep(lseg(x13,x6),sep(lseg(x11,x9),sep(lseg(x10,x11),sep(lseg(x4,x13),sep(lseg(x4,x11),sep(lseg(x17,x10),sep(lseg(x9,x13),sep(lseg(x7,x13),sep(lseg(x7,x13),sep(lseg(x5,x14),sep(lseg(x18,x11),sep(lseg(x18,x10),sep(lseg(x1,x5),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_11,c_0_28]),c_0_23]),c_0_13]),c_0_29]),c_0_23]),c_0_30]),c_0_23]),c_0_30]),c_0_9]),c_0_29]),c_0_13]),c_0_13]),c_0_9]),c_0_13]),c_0_13]) ).
cnf(c_0_33,hypothesis,
x4 != x13,
premise_23 ).
cnf(c_0_34,hypothesis,
x4 != x11,
premise_21 ).
cnf(c_0_35,hypothesis,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]),c_0_34]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW442-1 : TPTP v8.1.2. Released v5.2.0.
% 0.07/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.33 % Computer : n024.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sun Aug 27 19:53:08 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.20/0.54 start to proof: theBenchmark
% 0.52/1.35 % Version : CSE_E---1.5
% 0.52/1.35 % Problem : theBenchmark.p
% 0.52/1.35 % Proof found
% 0.52/1.35 % SZS status Theorem for theBenchmark.p
% 0.52/1.35 % SZS output start Proof
% See solution above
% 0.52/1.35 % Total time : 0.796000 s
% 0.52/1.35 % SZS output end Proof
% 0.52/1.35 % Total time : 0.800000 s
%------------------------------------------------------------------------------