TSTP Solution File: SET950+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET950+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n014.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 0.19s 0.55s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of clauses : 12 ( 7 unt; 0 nHn; 12 RR)
% Number of literals : 22 ( 6 equ; 11 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 17 ( 0 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,
( ~ subset(X,Y)
| ~ in(Z,X)
| in(Z,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
cnf(18,negated_conjecture,
subset('SKOLEMAAAV9',cartesian_product2('SKOLEMAAAV10','SKOLEMAAAV11')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t103_zfmisc_1) ).
cnf(19,negated_conjecture,
in('SKOLEMAAAV12','SKOLEMAAAV9'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t103_zfmisc_1) ).
cnf(20,negated_conjecture,
( ~ in(X,'SKOLEMAAAV10')
| ~ in(Y,'SKOLEMAAAV11')
| 'SKOLEMAAAV12' != ordered_pair(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t103_zfmisc_1) ).
cnf(22,plain,
in('SKOLEMAAAV12',cartesian_product2('SKOLEMAAAV10','SKOLEMAAAV11')),
inference('HYPERRESOLVE',[status(thm)],[10,18,19]) ).
cnf(58,plain,
in('SKOLEMAAAV2'('SKOLEMAAAV10','SKOLEMAAAV11','SKOLEMAAAV12'),'SKOLEMAAAV11'),
inference('HYPERRESOLVE',[status(thm)],[3,22,theory(equality)]) ).
cnf(59,plain,
in('SKOLEMAAAV1'('SKOLEMAAAV10','SKOLEMAAAV11','SKOLEMAAAV12'),'SKOLEMAAAV10'),
inference('HYPERRESOLVE',[status(thm)],[2,22,theory(equality)]) ).
cnf(62,plain,
'SKOLEMAAAV12' = ordered_pair('SKOLEMAAAV1'('SKOLEMAAAV10','SKOLEMAAAV11','SKOLEMAAAV12'),'SKOLEMAAAV2'('SKOLEMAAAV10','SKOLEMAAAV11','SKOLEMAAAV12')),
inference('HYPERRESOLVE',[status(thm)],[4,22,theory(equality)]) ).
cnf(105,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[20,59,58]),62,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET950+1 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n014.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jul 10 03:16:05 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T03:16:05
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2022-07-10T03:16:05
% 0.19/0.48
% 0.19/0.48 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.19/0.55 ; Declaring unordered_pair to be commutative.
% 0.19/0.55
% 0.19/0.55 #||
% 0.19/0.55 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.55 % SZS output start Refutation
% See solution above
% 0.19/0.55 ||#
% 0.19/0.55
% 0.19/0.55 ; Summary of computation:
% 0.19/0.55 ; 280 formulas have been input or derived (from 27 formulas).
% 0.19/0.55 ; 105 (38%) were retained. Of these,
% 0.19/0.55 ; 105 (100%) are still being kept.
% 0.19/0.55 ;
% 0.19/0.55 ; Run time in seconds excluding printing time:
% 0.19/0.55 ; 0.003 4% Read assertion file (1 call)
% 0.19/0.55 ; 0.001 1% Assert (10 calls)
% 0.19/0.55 ; 0.013 16% Process new row (202 calls)
% 0.19/0.55 ; 0.015 19% Resolution (52 calls)
% 0.19/0.55 ; 0.000 0% Paramodulation (26 calls)
% 0.19/0.55 ; 0.000 0% Factoring (4 calls)
% 0.19/0.55 ; 0.006 8% Condensing (103 calls)
% 0.19/0.55 ; 0.007 9% Forward subsumption (103 calls)
% 0.19/0.55 ; 0.001 1% Backward subsumption (65 calls)
% 0.19/0.55 ; 0.001 1% Clause clause subsumption (109 calls)
% 0.19/0.55 ; 0.005 6% Forward simplification (202 calls)
% 0.19/0.55 ; 0.002 3% Backward simplification (105 calls)
% 0.19/0.55 ; 0.002 3% Ordering (316 calls)
% 0.19/0.55 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.55 ; 0.000 0% Purity testing (1 call)
% 0.19/0.55 ; 0.023 29% Other
% 0.19/0.55 ; 0.079 Total
% 0.19/0.55 ; 0.081 Real time
% 0.19/0.55 ;
% 0.19/0.55 ; Term-hash-array has 295 terms in all.
% 0.19/0.55 ; Feature-vector-row-index has 65 entries (65 at peak, 65 added, 0 deleted).
% 0.19/0.55 ; Feature-vector-row-index has 374 nodes (374 at peak, 374 added, 0 deleted).
% 0.19/0.55 ; Retrieved 126 possibly forward subsuming rows in 103 calls.
% 0.19/0.55 ; Retrieved 15 possibly backward subsumed rows in 65 calls.
% 0.19/0.55 ; Path-index has 301 entries (301 at peak, 301 added, 0 deleted).
% 0.19/0.55 ; Path-index has 956 nodes (956 at peak, 956 added, 0 deleted).
% 0.19/0.55 ; Trie-index has 301 entries (301 at peak, 301 added, 0 deleted).
% 0.19/0.55 ; Trie-index has 1,191 nodes (1,191 at peak, 1,191 added, 0 deleted).
% 0.19/0.55 ; Retrieved 117 generalization terms in 519 calls.
% 0.19/0.55 ; Retrieved 40 instance terms in 39 calls.
% 0.19/0.55 ; Retrieved 7,170 unifiable terms in 619 calls.
% 0.19/0.55 ;
% 0.19/0.55 ; The agenda of rows to process has 45 entries:
% 0.19/0.55 ; 5 with value 18 1 with value 23 4 with value 34
% 0.19/0.55 ; 8 with value 19 1 with value 25 4 with value 41
% 0.19/0.55 ; 6 with value 20 10 with value 26 2 with value 43
% 0.19/0.55 ; 1 with value 22 1 with value 27 2 with value 50
% 0.19/0.55 ; The agenda of rows to give has 78 entries:
% 0.19/0.55 ; 3 with value (4 11) 1 with value (4 23) 1 with value (4 40)
% 0.19/0.55 ; 1 with value (4 12) 2 with value (4 26) 2 with value (4 41)
% 0.19/0.55 ; 2 with value (4 13) 4 with value (4 29) 4 with value (4 43)
% 0.19/0.55 ; 2 with value (4 14) 2 with value (4 31) 4 with value (4 47)
% 0.19/0.55 ; 8 with value (4 16) 4 with value (4 32) 2 with value (4 49)
% 0.19/0.55 ; 6 with value (4 18) 8 with value (4 34) 2 with value (4 53)
% 0.19/0.55 ; 2 with value (4 19) 1 with value (4 35) 4 with value (4 56)
% 0.19/0.55 ; 4 with value (4 20) 4 with value (4 37) 2 with value (4 65)
% 0.19/0.55 ; 1 with value (4 21) 2 with value (4 38)
% 0.19/0.55 Evaluation took:
% 0.19/0.55 0.081 seconds of real time
% 0.19/0.55 0.070388 seconds of user run time
% 0.19/0.55 0.011022 seconds of system run time
% 0.19/0.55 0 calls to %EVAL
% 0.19/0.55 0 page faults and
% 0.19/0.55 4,573,320 bytes consed.
% 0.19/0.55 :PROOF-FOUND
% 0.19/0.55 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T03:16:05
% 0.19/0.55 :PROOF-FOUND
% 0.19/0.55 *
%------------------------------------------------------------------------------