TSTP Solution File: SET977+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET977+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n007.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 05:13:47 EDT 2022
% Result : Theorem 0.18s 0.51s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 11 ( 6 unt; 2 nHn; 8 RR)
% Number of literals : 18 ( 8 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 13 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( X != empty_set
| ~ in(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_xboole_0) ).
cnf(3,axiom,
( X = empty_set
| in('SKOLEMAAAV1'(X),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_xboole_0) ).
cnf(11,axiom,
( in(ordered_pair(X,Y),cartesian_product2(singleton(Z),U))
| X != Z
| ~ in(Y,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t128_zfmisc_1) ).
cnf(14,axiom,
( in(ordered_pair(X,Y),cartesian_product2(Z,singleton(U)))
| ~ in(X,Z)
| Y != U ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t129_zfmisc_1) ).
cnf(15,negated_conjecture,
'SKOLEMAAAV4' != empty_set,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t130_zfmisc_1) ).
cnf(16,negated_conjecture,
( cartesian_product2(singleton('SKOLEMAAAV5'),'SKOLEMAAAV4') = empty_set
| cartesian_product2('SKOLEMAAAV4',singleton('SKOLEMAAAV5')) = empty_set ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t130_zfmisc_1) ).
cnf(18,plain,
in('SKOLEMAAAV1'('SKOLEMAAAV4'),'SKOLEMAAAV4'),
inference('UR-RESOLVE',[status(thm)],[3,15]) ).
cnf(38,plain,
in(ordered_pair(X,'SKOLEMAAAV1'('SKOLEMAAAV4')),cartesian_product2(singleton(X),'SKOLEMAAAV4')),
inference('HYPERRESOLVE',[status(thm)],[11,18,theory(equality)]) ).
cnf(39,plain,
in(ordered_pair('SKOLEMAAAV1'('SKOLEMAAAV4'),X),cartesian_product2('SKOLEMAAAV4',singleton(X))),
inference('HYPERRESOLVE',[status(thm)],[14,18,theory(equality)]) ).
cnf(64,plain,
cartesian_product2('SKOLEMAAAV4',singleton('SKOLEMAAAV5')) = empty_set,
inference('HYPERRESOLVE',[status(thm)],[2,38,16]) ).
cnf(74,plain,
$false,
inference('HYPERRESOLVE',[status(thm)],[2,39,64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SET977+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n007.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 : 600
% 0.13/0.33 % DateTime : Sat Jul 9 22:26:31 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-09T22:26:31
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-07-09T22:26:31
% 0.18/0.47
% 0.18/0.47 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.18/0.51 ; Declaring unordered_pair to be commutative.
% 0.18/0.51
% 0.18/0.51 #||
% 0.18/0.51 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.51 % SZS output start Refutation
% See solution above
% 0.18/0.51 ||#
% 0.18/0.51
% 0.18/0.51 ; Summary of computation:
% 0.18/0.51 ; 242 formulas have been input or derived (from 32 formulas).
% 0.18/0.51 ; 74 (31%) were retained. Of these,
% 0.18/0.51 ; 17 (23%) were simplified or subsumed later,
% 0.18/0.51 ; 57 (77%) are still being kept.
% 0.18/0.51 ;
% 0.18/0.51 ; Run time in seconds excluding printing time:
% 0.18/0.51 ; 0.003 6% Read assertion file (1 call)
% 0.18/0.52 ; 0.001 2% Assert (11 calls)
% 0.18/0.52 ; 0.009 17% Process new row (186 calls)
% 0.18/0.52 ; 0.006 11% Resolution (62 calls)
% 0.18/0.52 ; 0.001 2% Paramodulation (31 calls)
% 0.18/0.52 ; 0.000 0% Factoring (2 calls)
% 0.18/0.52 ; 0.000 0% Condensing (41 calls)
% 0.18/0.52 ; 0.002 4% Forward subsumption (41 calls)
% 0.18/0.52 ; 0.000 0% Backward subsumption (28 calls)
% 0.18/0.52 ; 0.002 4% Clause clause subsumption (105 calls)
% 0.18/0.52 ; 0.003 6% Forward simplification (177 calls)
% 0.18/0.52 ; 0.004 8% Backward simplification (74 calls)
% 0.18/0.52 ; 0.000 0% Ordering (152 calls)
% 0.18/0.52 ; 0.000 0% Sortal reasoning (32 calls)
% 0.18/0.52 ; 0.000 0% Purity testing (1 call)
% 0.18/0.52 ; 0.022 42% Other
% 0.18/0.52 ; 0.053 Total
% 0.18/0.52 ; 0.055 Real time
% 0.18/0.52 ;
% 0.18/0.52 ; Term-hash-array has 196 terms in all.
% 0.18/0.52 ; Feature-vector-row-index has 11 entries (28 at peak, 28 added, 17 deleted).
% 0.18/0.52 ; Feature-vector-row-index has 30 nodes (120 at peak, 120 added, 90 deleted).
% 0.18/0.52 ; Retrieved 79 possibly forward subsuming rows in 41 calls.
% 0.18/0.52 ; Retrieved 32 possibly backward subsumed rows in 28 calls.
% 0.18/0.52 ; Path-index has 157 entries (178 at peak, 201 added, 44 deleted).
% 0.18/0.52 ; Path-index has 375 nodes (375 at peak, 414 added, 39 deleted).
% 0.18/0.52 ; Trie-index has 157 entries (178 at peak, 201 added, 44 deleted).
% 0.18/0.52 ; Trie-index has 494 nodes (572 at peak, 672 added, 178 deleted).
% 0.18/0.52 ; Retrieved 158 generalization terms in 409 calls.
% 0.18/0.52 ; Retrieved 45 instance terms in 45 calls.
% 0.18/0.52 ; Retrieved 1,287 unifiable terms in 329 calls.
% 0.18/0.52 ;
% 0.18/0.52 ; The agenda of rows to process has 26 entries:
% 0.18/0.52 ; 2 with value 7 1 with value 15 4 with value 26
% 0.18/0.52 ; 1 with value 9 4 with value 21 4 with value 28
% 0.18/0.52 ; 1 with value 12 4 with value 25 4 with value 29
% 0.18/0.52 ; 1 with value 13
% 0.18/0.52 ; The agenda of rows to give has 26 entries:
% 0.18/0.52 ; 3 with value (4 15) 1 with value (4 18) 7 with value (4 20)
% 0.18/0.52 ; 2 with value (4 17) 11 with value (4 19) 2 with value (4 21)
% 0.18/0.52 Evaluation took:
% 0.18/0.52 0.056 seconds of real time
% 0.18/0.52 0.044614 seconds of user run time
% 0.18/0.52 0.011192 seconds of system run time
% 0.18/0.52 0 calls to %EVAL
% 0.18/0.52 0 page faults and
% 0.18/0.52 3,340,864 bytes consed.
% 0.18/0.52 :PROOF-FOUND
% 0.18/0.52 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-09T22:26:31
% 0.18/0.52 :PROOF-FOUND
% 0.18/0.52 *
%------------------------------------------------------------------------------