TSTP Solution File: SET951+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET951+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n022.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 : 600s
% DateTime : Tue Jul 19 05:13:38 EDT 2022
% Result : Theorem 13.30s 13.51s
% Output : Refutation 13.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of clauses : 28 ( 17 unt; 0 nHn; 28 RR)
% Number of literals : 46 ( 20 equ; 22 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 34 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( X != cartesian_product2(Y,Z)
| ~ in(U,X)
| in('SKOLEMAAAV1'(Y,Z,U),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_zfmisc_1) ).
cnf(3,axiom,
( X != cartesian_product2(Y,Z)
| ~ in(U,X)
| in('SKOLEMAAAV2'(Y,Z,U),Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_zfmisc_1) ).
cnf(4,axiom,
( X != cartesian_product2(Y,Z)
| ~ in(U,X)
| U = ordered_pair('SKOLEMAAAV1'(Y,Z,U),'SKOLEMAAAV2'(Y,Z,U)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_zfmisc_1) ).
cnf(10,axiom,
( X != set_intersection2(Y,Z)
| ~ in(U,X)
| in(U,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0) ).
cnf(11,axiom,
( X != set_intersection2(Y,Z)
| in(U,X)
| ~ in(U,Y)
| ~ in(U,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0) ).
cnf(20,negated_conjecture,
in('SKOLEMAAAV9',set_intersection2(cartesian_product2('SKOLEMAAAV10','SKOLEMAAAV11'),cartesian_product2('SKOLEMAAAV12','SKOLEMAAAV13'))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t104_zfmisc_1) ).
cnf(21,negated_conjecture,
( 'SKOLEMAAAV9' != ordered_pair(X,Y)
| ~ in(X,set_intersection2('SKOLEMAAAV10','SKOLEMAAAV12'))
| ~ in(Y,set_intersection2('SKOLEMAAAV11','SKOLEMAAAV13')) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t104_zfmisc_1) ).
cnf(22,axiom,
( ordered_pair(X,Y) != ordered_pair(Z,U)
| X = Z ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t33_zfmisc_1) ).
cnf(23,axiom,
( ordered_pair(X,Y) != ordered_pair(Z,U)
| Y = U ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t33_zfmisc_1) ).
cnf(27,plain,
in('SKOLEMAAAV9',cartesian_product2('SKOLEMAAAV10','SKOLEMAAAV11')),
inference('HYPERRESOLVE',[status(thm)],[10,20,theory(equality)]) ).
cnf(28,plain,
in('SKOLEMAAAV9',cartesian_product2('SKOLEMAAAV12','SKOLEMAAAV13')),
inference('HYPERRESOLVE',[status(thm)],[10,20,theory(equality)]) ).
cnf(127,plain,
in('SKOLEMAAAV2'('SKOLEMAAAV10','SKOLEMAAAV11','SKOLEMAAAV9'),'SKOLEMAAAV11'),
inference('HYPERRESOLVE',[status(thm)],[3,27,theory(equality)]) ).
cnf(128,plain,
in('SKOLEMAAAV1'('SKOLEMAAAV10','SKOLEMAAAV11','SKOLEMAAAV9'),'SKOLEMAAAV10'),
inference('HYPERRESOLVE',[status(thm)],[2,27,theory(equality)]) ).
cnf(129,plain,
'SKOLEMAAAV9' = ordered_pair('SKOLEMAAAV1'('SKOLEMAAAV10','SKOLEMAAAV11','SKOLEMAAAV9'),'SKOLEMAAAV2'('SKOLEMAAAV10','SKOLEMAAAV11','SKOLEMAAAV9')),
inference('HYPERRESOLVE',[status(thm)],[4,27,theory(equality)]) ).
cnf(149,plain,
in('SKOLEMAAAV2'('SKOLEMAAAV12','SKOLEMAAAV13','SKOLEMAAAV9'),'SKOLEMAAAV13'),
inference('HYPERRESOLVE',[status(thm)],[3,28,theory(equality)]) ).
cnf(150,plain,
in('SKOLEMAAAV1'('SKOLEMAAAV12','SKOLEMAAAV13','SKOLEMAAAV9'),'SKOLEMAAAV12'),
inference('HYPERRESOLVE',[status(thm)],[2,28,theory(equality)]) ).
cnf(151,plain,
'SKOLEMAAAV9' = ordered_pair('SKOLEMAAAV1'('SKOLEMAAAV12','SKOLEMAAAV13','SKOLEMAAAV9'),'SKOLEMAAAV2'('SKOLEMAAAV12','SKOLEMAAAV13','SKOLEMAAAV9')),
inference('HYPERRESOLVE',[status(thm)],[4,28,theory(equality)]) ).
cnf(352,plain,
( 'SKOLEMAAAV9' != ordered_pair(X,Y)
| 'SKOLEMAAAV2'('SKOLEMAAAV10','SKOLEMAAAV11','SKOLEMAAAV9') = Y ),
inference('PARAMODULATE',[status(thm)],[23,129,theory(equality)]) ).
cnf(353,plain,
( 'SKOLEMAAAV9' != ordered_pair(X,Y)
| 'SKOLEMAAAV1'('SKOLEMAAAV10','SKOLEMAAAV11','SKOLEMAAAV9') = X ),
inference('PARAMODULATE',[status(thm)],[22,129,theory(equality)]) ).
cnf(354,plain,
( ~ in('SKOLEMAAAV1'('SKOLEMAAAV10','SKOLEMAAAV11','SKOLEMAAAV9'),set_intersection2('SKOLEMAAAV10','SKOLEMAAAV12'))
| ~ in('SKOLEMAAAV2'('SKOLEMAAAV10','SKOLEMAAAV11','SKOLEMAAAV9'),set_intersection2('SKOLEMAAAV11','SKOLEMAAAV13')) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[21,129,theory(equality)]),theory(equality)]) ).
cnf(1507,plain,
'SKOLEMAAAV2'('SKOLEMAAAV10','SKOLEMAAAV11','SKOLEMAAAV9') = 'SKOLEMAAAV2'('SKOLEMAAAV12','SKOLEMAAAV13','SKOLEMAAAV9'),
inference('HYPERRESOLVE',[status(thm)],[352,151]) ).
cnf(1508,plain,
in('SKOLEMAAAV2'('SKOLEMAAAV10','SKOLEMAAAV11','SKOLEMAAAV9'),'SKOLEMAAAV13'),
inference('REWRITE',[status(thm)],[149,1507,theory(equality)]) ).
cnf(1509,plain,
'SKOLEMAAAV9' = ordered_pair('SKOLEMAAAV1'('SKOLEMAAAV12','SKOLEMAAAV13','SKOLEMAAAV9'),'SKOLEMAAAV2'('SKOLEMAAAV10','SKOLEMAAAV11','SKOLEMAAAV9')),
inference('REWRITE',[status(thm)],[151,1507,theory(equality)]) ).
cnf(1869,plain,
in('SKOLEMAAAV2'('SKOLEMAAAV10','SKOLEMAAAV11','SKOLEMAAAV9'),set_intersection2('SKOLEMAAAV11','SKOLEMAAAV13')),
inference('HYPERRESOLVE',[status(thm)],[11,1508,127,theory(equality)]) ).
cnf(1870,plain,
~ in('SKOLEMAAAV1'('SKOLEMAAAV10','SKOLEMAAAV11','SKOLEMAAAV9'),set_intersection2('SKOLEMAAAV10','SKOLEMAAAV12')),
inference('REWRITE',[status(thm)],[354,1869]) ).
cnf(2392,plain,
~ in('SKOLEMAAAV1'('SKOLEMAAAV10','SKOLEMAAAV11','SKOLEMAAAV9'),'SKOLEMAAAV12'),
inference('UR-RESOLVE',[status(thm)],[11,1870,128,theory(equality)]) ).
cnf(4397,plain,
'SKOLEMAAAV1'('SKOLEMAAAV10','SKOLEMAAAV11','SKOLEMAAAV9') = 'SKOLEMAAAV1'('SKOLEMAAAV12','SKOLEMAAAV13','SKOLEMAAAV9'),
inference('HYPERRESOLVE',[status(thm)],[353,1509]) ).
cnf(4398,plain,
$false,
inference('REWRITE',[status(thm)],[150,2392,4397,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET951+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n022.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sat Jul 9 23:51:55 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-09T23:51:56
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-07-09T23:51:56
% 0.20/0.49
% 0.20/0.49 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.20/0.49 ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.20/0.49 ; Declaring unordered_pair to be commutative.
% 13.30/13.51 ; Declaring set_intersection2 to be commutative.
% 13.30/13.51
% 13.30/13.51 #||
% 13.30/13.51 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.30/13.51 % SZS output start Refutation
% See solution above
% 13.30/13.51 ||#
% 13.30/13.51
% 13.30/13.51 ; Summary of computation:
% 13.30/13.51 ; 43145 formulas have been input or derived (from 164 formulas).
% 13.30/13.51 ; 4398 (10%) were retained. Of these,
% 13.30/13.51 ; 1003 (23%) were simplified or subsumed later,
% 13.30/13.51 ; 3395 (77%) are still being kept.
% 13.30/13.51 ;
% 13.30/13.51 ; Run time in seconds excluding printing time:
% 13.30/13.51 ; 0.003 0% Read assertion file (1 call)
% 13.30/13.51 ; 0.001 0% Assert (12 calls)
% 13.30/13.51 ; 0.395 3% Process new row (41,156 calls)
% 13.30/13.51 ; 10.332 79% Resolution (326 calls)
% 13.30/13.51 ; 0.010 0% Paramodulation (163 calls)
% 13.30/13.51 ; 0.001 0% Factoring (7 calls)
% 13.30/13.51 ; 0.077 1% Condensing (6,797 calls)
% 13.30/13.51 ; 0.598 5% Forward subsumption (6,797 calls)
% 13.30/13.51 ; 0.041 0% Backward subsumption (1,196 calls)
% 13.30/13.51 ; 0.148 1% Clause clause subsumption (31,496 calls)
% 13.30/13.51 ; 1.116 9% Forward simplification (41,150 calls)
% 13.30/13.51 ; 0.126 1% Backward simplification (4,398 calls)
% 13.30/13.51 ; 0.033 0% Ordering (10,093 calls)
% 13.30/13.51 ; 0.001 0% Sortal reasoning (32 calls)
% 13.30/13.51 ; 0.001 0% Purity testing (1 call)
% 13.30/13.51 ; 0.155 1% Other
% 13.30/13.51 ; 13.038 Total
% 13.30/13.51 ; 13.042 Real time
% 13.30/13.52 ;
% 13.30/13.52 ; Term-hash-array has 7,433 terms in all.
% 13.30/13.52 ; Feature-vector-row-index has 1,007 entries (1,100 at peak, 1,196 added, 189 deleted).
% 13.30/13.52 ; Feature-vector-row-index has 2,490 nodes (2,707 at peak, 2,958 added, 468 deleted).
% 13.30/13.52 ; Retrieved 69,346 possibly forward subsuming rows in 6,797 calls.
% 13.30/13.52 ; Retrieved 5,295 possibly backward subsumed rows in 1,196 calls.
% 13.30/13.52 ; Path-index has 5,808 entries (6,937 at peak, 7,723 added, 1,915 deleted).
% 13.30/13.52 ; Path-index has 2,381 nodes (2,450 at peak, 2,547 added, 166 deleted).
% 13.30/13.52 ; Trie-index has 5,808 entries (6,937 at peak, 7,723 added, 1,915 deleted).
% 13.30/13.52 ; Trie-index has 20,800 nodes (25,378 at peak, 28,644 added, 7,844 deleted).
% 13.30/13.52 ; Retrieved 105,540 generalization terms in 235,996 calls.
% 13.30/13.52 ; Retrieved 4,047 instance terms in 3,201 calls.
% 13.30/13.52 ; Retrieved 19,040,467 unifiable terms in 222,040 calls.
% 13.30/13.52 ;
% 13.30/13.52 ; The agenda of backward simplifiable rows to process has 618 entries:
% 13.30/13.52 ; 618 with value 0
% 13.30/13.52 ; The agenda of rows to process has 4 entries:
% 13.30/13.52 ; 2 with value 15 2 with value 19
% 13.30/13.52 ; The agenda of rows to give has 3259 entries:
% 13.30/13.52 ; 1 with value (4 15) 168 with value (4 29) 145 with value (4 42)
% 13.30/13.52 ; 47 with value (4 18) 140 with value (4 30) 10 with value (4 43)
% 13.30/13.52 ; 39 with value (4 19) 196 with value (4 31) 11 with value (4 45)
% 13.30/13.52 ; 60 with value (4 20) 222 with value (4 32) 10 with value (4 46)
% 13.30/13.52 ; 119 with value (4 21) 156 with value (4 33) 40 with value (4 47)
% 13.30/13.52 ; 118 with value (4 22) 109 with value (4 34) 36 with value (4 49)
% 13.30/13.52 ; 60 with value (4 23) 64 with value (4 36) 4 with value (4 50)
% 13.30/13.52 ; 156 with value (4 24) 68 with value (4 37) 26 with value (4 51)
% 13.30/13.52 ; 271 with value (4 25) 24 with value (4 38) 2 with value (4 52)
% 13.30/13.52 ; 252 with value (4 26) 12 with value (4 39) 4 with value (4 53)
% 13.30/13.52 ; 188 with value (4 27) 204 with value (4 40) 12 with value (4 56)
% 13.30/13.52 ; 255 with value (4 28) 28 with value (4 41) 2 with value (4 65)
% 13.30/13.52 Evaluation took:
% 13.30/13.52 13.043 seconds of real time
% 13.30/13.52 12.717339 seconds of user run time
% 13.30/13.52 0.324094 seconds of system run time
% 13.30/13.52 [Run times include 0.481 seconds GC run time.]
% 13.30/13.52 0 calls to %EVAL
% 13.30/13.52 0 page faults and
% 13.30/13.52 609,844,776 bytes consed.
% 13.30/13.52 :PROOF-FOUND
% 13.30/13.52 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-09T23:52:09
% 13.30/13.52 :PROOF-FOUND
% 13.30/13.52 *
%------------------------------------------------------------------------------