TSTP Solution File: SET975+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET975+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 05:13:47 EDT 2022
% Result : Theorem 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of clauses : 15 ( 5 unt; 3 nHn; 13 RR)
% Number of literals : 29 ( 9 equ; 13 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; 4 con; 0-2 aty)
% Number of variables : 20 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( X != singleton(Y)
| ~ in(Z,X)
| Z = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_tarski) ).
cnf(3,axiom,
( X != singleton(Y)
| in(Z,X)
| Z != Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_tarski) ).
cnf(8,axiom,
( ~ in(ordered_pair(X,Y),cartesian_product2(Z,U))
| in(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l55_zfmisc_1) ).
cnf(9,axiom,
( ~ in(ordered_pair(X,Y),cartesian_product2(Z,U))
| in(Y,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l55_zfmisc_1) ).
cnf(10,axiom,
( in(ordered_pair(X,Y),cartesian_product2(Z,U))
| ~ in(X,Z)
| ~ in(Y,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l55_zfmisc_1) ).
cnf(13,negated_conjecture,
( ~ in(ordered_pair('SKOLEMAAAV4','SKOLEMAAAV5'),cartesian_product2(singleton('SKOLEMAAAV6'),'SKOLEMAAAV7'))
| 'SKOLEMAAAV4' != 'SKOLEMAAAV6'
| ~ in('SKOLEMAAAV5','SKOLEMAAAV7') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t128_zfmisc_1) ).
cnf(14,negated_conjecture,
( in(ordered_pair('SKOLEMAAAV4','SKOLEMAAAV5'),cartesian_product2(singleton('SKOLEMAAAV6'),'SKOLEMAAAV7'))
| 'SKOLEMAAAV4' = 'SKOLEMAAAV6' ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t128_zfmisc_1) ).
cnf(15,negated_conjecture,
( in(ordered_pair('SKOLEMAAAV4','SKOLEMAAAV5'),cartesian_product2(singleton('SKOLEMAAAV6'),'SKOLEMAAAV7'))
| in('SKOLEMAAAV5','SKOLEMAAAV7') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t128_zfmisc_1) ).
cnf(18,plain,
in(X,singleton(X)),
inference('HYPERRESOLVE',[status(thm)],[3,theory(equality),theory(equality)]) ).
cnf(20,plain,
( 'SKOLEMAAAV4' = 'SKOLEMAAAV6'
| in('SKOLEMAAAV4',singleton('SKOLEMAAAV6')) ),
inference('HYPERRESOLVE',[status(thm)],[8,14]) ).
cnf(21,plain,
in('SKOLEMAAAV5','SKOLEMAAAV7'),
inference('HYPERRESOLVE',[status(thm)],[9,15]) ).
cnf(22,plain,
( ~ in(ordered_pair('SKOLEMAAAV4','SKOLEMAAAV5'),cartesian_product2(singleton('SKOLEMAAAV6'),'SKOLEMAAAV7'))
| 'SKOLEMAAAV4' != 'SKOLEMAAAV6' ),
inference('REWRITE',[status(thm)],[13,21]) ).
cnf(38,plain,
in(ordered_pair(X,'SKOLEMAAAV5'),cartesian_product2(singleton(X),'SKOLEMAAAV7')),
inference('HYPERRESOLVE',[status(thm)],[10,18,21]) ).
cnf(55,plain,
'SKOLEMAAAV4' = 'SKOLEMAAAV6',
inference('HYPERRESOLVE',[status(thm)],[2,20,theory(equality)]) ).
cnf(56,plain,
$false,
inference('REWRITE',[status(thm)],[22,38,55,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET975+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n022.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sun Jul 10 12:58:55 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.48 *
% 0.19/0.48 *
% 0.19/0.48 #<PACKAGE "SNARK-USER">
% 0.19/0.48 *
% 0.19/0.48 SNARK-TPTP-OPTIONS
% 0.19/0.48 *
% 0.19/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48 (USE-FACTORING :POS)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48 *
% 0.19/0.48 "."
% 0.19/0.48 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T12:58:55
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-07-10T12:58:55
% 0.19/0.50
% 0.19/0.50 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.19/0.53 ; Declaring unordered_pair to be commutative.
% 0.19/0.53
% 0.19/0.53 #||
% 0.19/0.53 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.53 % SZS output start Refutation
% See solution above
% 0.19/0.53 ||#
% 0.19/0.53
% 0.19/0.53 ; Summary of computation:
% 0.19/0.53 ; 101 formulas have been input or derived (from 23 formulas).
% 0.19/0.53 ; 56 (55%) were retained. Of these,
% 0.19/0.53 ; 13 (23%) were simplified or subsumed later,
% 0.19/0.53 ; 43 (77%) are still being kept.
% 0.19/0.53 ;
% 0.19/0.53 ; Run time in seconds excluding printing time:
% 0.19/0.53 ; 0.002 5% Read assertion file (1 call)
% 0.19/0.53 ; 0.001 2% Assert (9 calls)
% 0.19/0.53 ; 0.004 10% Process new row (74 calls)
% 0.19/0.53 ; 0.003 7% Resolution (44 calls)
% 0.19/0.53 ; 0.000 0% Paramodulation (22 calls)
% 0.19/0.53 ; 0.000 0% Factoring (4 calls)
% 0.19/0.53 ; 0.001 2% Condensing (28 calls)
% 0.19/0.53 ; 0.000 0% Forward subsumption (28 calls)
% 0.19/0.53 ; 0.002 5% Backward subsumption (27 calls)
% 0.19/0.53 ; 0.000 0% Clause clause subsumption (30 calls)
% 0.19/0.53 ; 0.003 7% Forward simplification (73 calls)
% 0.19/0.53 ; 0.003 7% Backward simplification (56 calls)
% 0.19/0.53 ; 0.000 0% Ordering (98 calls)
% 0.19/0.53 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.53 ; 0.000 0% Purity testing (1 call)
% 0.19/0.53 ; 0.022 54% Other
% 0.19/0.53 ; 0.041 Total
% 0.19/0.53 ; 0.043 Real time
% 0.19/0.53 ;
% 0.19/0.53 ; Term-hash-array has 119 terms in all.
% 0.19/0.53 ; Feature-vector-row-index has 14 entries (24 at peak, 27 added, 13 deleted).
% 0.19/0.53 ; Feature-vector-row-index has 54 nodes (178 at peak, 216 added, 162 deleted).
% 0.19/0.53 ; Retrieved 17 possibly forward subsuming rows in 28 calls.
% 0.19/0.53 ; Retrieved 14 possibly backward subsumed rows in 27 calls.
% 0.19/0.53 ; Path-index has 99 entries (125 at peak, 125 added, 26 deleted).
% 0.19/0.53 ; Path-index has 222 nodes (245 at peak, 245 added, 23 deleted).
% 0.19/0.53 ; Trie-index has 99 entries (125 at peak, 125 added, 26 deleted).
% 0.19/0.53 ; Trie-index has 272 nodes (397 at peak, 397 added, 125 deleted).
% 0.19/0.53 ; Retrieved 31 generalization terms in 68 calls.
% 0.19/0.53 ; Retrieved 35 instance terms in 28 calls.
% 0.19/0.53 ; Retrieved 934 unifiable terms in 199 calls.
% 0.19/0.53 ;
% 0.19/0.53 ; The agenda of backward simplifiable rows to process has 7 entries:
% 0.19/0.53 ; 7 with value 0
% 0.19/0.53 ; The agenda of rows to process has 10 entries:
% 0.19/0.53 ; 2 with value 17 2 with value 23 2 with value 32
% 0.19/0.53 ; 4 with value 18
% 0.19/0.53 ; The agenda of rows to give has 24 entries:
% 0.19/0.53 ; 1 with value (4 6) 3 with value (4 14) 2 with value (4 27)
% 0.19/0.53 ; 4 with value (4 11) 1 with value (4 19) 2 with value (4 28)
% 0.19/0.53 ; 5 with value (4 12) 1 with value (4 20) 1 with value (4 41)
% 0.19/0.53 ; 3 with value (4 13) 1 with value (4 26)
% 0.19/0.53 Evaluation took:
% 0.19/0.53 0.044 seconds of real time
% 0.19/0.53 0.039795 seconds of user run time
% 0.19/0.53 0.003928 seconds of system run time
% 0.19/0.53 0 calls to %EVAL
% 0.19/0.53 0 page faults and
% 0.19/0.53 3,071,024 bytes consed.
% 0.19/0.53 :PROOF-FOUND
% 0.19/0.53 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T12:58:55
% 0.19/0.53 :PROOF-FOUND
% 0.19/0.53 *
%------------------------------------------------------------------------------