TSTP Solution File: SET893+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET893+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n018.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 05:13:11 EDT 2022
% Result : Theorem 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of clauses : 16 ( 5 unt; 4 nHn; 14 RR)
% Number of literals : 31 ( 13 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 : 21 ( 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'),singleton('SKOLEMAAAV7')))
| 'SKOLEMAAAV4' != 'SKOLEMAAAV6'
| 'SKOLEMAAAV5' != 'SKOLEMAAAV7' ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t34_zfmisc_1) ).
cnf(14,negated_conjecture,
( in(ordered_pair('SKOLEMAAAV4','SKOLEMAAAV5'),cartesian_product2(singleton('SKOLEMAAAV6'),singleton('SKOLEMAAAV7')))
| 'SKOLEMAAAV4' = 'SKOLEMAAAV6' ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t34_zfmisc_1) ).
cnf(15,negated_conjecture,
( in(ordered_pair('SKOLEMAAAV4','SKOLEMAAAV5'),cartesian_product2(singleton('SKOLEMAAAV6'),singleton('SKOLEMAAAV7')))
| 'SKOLEMAAAV5' = 'SKOLEMAAAV7' ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t34_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,
( 'SKOLEMAAAV5' = 'SKOLEMAAAV7'
| in('SKOLEMAAAV5',singleton('SKOLEMAAAV7')) ),
inference('HYPERRESOLVE',[status(thm)],[9,15]) ).
cnf(32,plain,
in(ordered_pair(X,Y),cartesian_product2(singleton(X),singleton(Y))),
inference('HYPERRESOLVE',[status(thm)],[10,18,18]) ).
cnf(55,plain,
'SKOLEMAAAV4' = 'SKOLEMAAAV6',
inference('HYPERRESOLVE',[status(thm)],[2,20,theory(equality)]) ).
cnf(56,plain,
( ~ in(ordered_pair('SKOLEMAAAV4','SKOLEMAAAV5'),cartesian_product2(singleton('SKOLEMAAAV4'),singleton('SKOLEMAAAV7')))
| 'SKOLEMAAAV5' != 'SKOLEMAAAV7' ),
inference('REWRITE',[status(thm)],[13,55,theory(equality)]) ).
cnf(63,plain,
'SKOLEMAAAV5' = 'SKOLEMAAAV7',
inference('HYPERRESOLVE',[status(thm)],[2,21,theory(equality)]) ).
cnf(64,plain,
$false,
inference('REWRITE',[status(thm)],[56,32,63,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET893+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jul 11 03:03:13 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-07-11T03:03:13
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-07-11T03:03:13
% 0.19/0.48
% 0.19/0.49 ; 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 ; 149 formulas have been input or derived (from 26 formulas).
% 0.19/0.53 ; 64 (43%) were retained. Of these,
% 0.19/0.53 ; 34 (53%) were simplified or subsumed later,
% 0.19/0.53 ; 30 (47%) 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 4% Read assertion file (1 call)
% 0.19/0.53 ; 0.001 2% Assert (9 calls)
% 0.19/0.53 ; 0.009 17% Process new row (128 calls)
% 0.19/0.53 ; 0.005 9% Resolution (50 calls)
% 0.19/0.53 ; 0.001 2% Paramodulation (25 calls)
% 0.19/0.53 ; 0.000 0% Factoring (8 calls)
% 0.19/0.53 ; 0.001 2% Condensing (58 calls)
% 0.19/0.53 ; 0.004 8% Forward subsumption (58 calls)
% 0.19/0.53 ; 0.001 2% Backward subsumption (46 calls)
% 0.19/0.53 ; 0.001 2% Clause clause subsumption (99 calls)
% 0.19/0.53 ; 0.003 6% Forward simplification (116 calls)
% 0.19/0.53 ; 0.003 6% Backward simplification (64 calls)
% 0.19/0.53 ; 0.000 0% Ordering (207 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 42% Other
% 0.19/0.53 ; 0.053 Total
% 0.19/0.53 ; 0.055 Real time
% 0.19/0.53 ;
% 0.19/0.53 ; Term-hash-array has 122 terms in all.
% 0.19/0.53 ; Feature-vector-row-index has 12 entries (39 at peak, 46 added, 34 deleted).
% 0.19/0.53 ; Feature-vector-row-index has 44 nodes (322 at peak, 414 added, 370 deleted).
% 0.19/0.53 ; Retrieved 98 possibly forward subsuming rows in 58 calls.
% 0.19/0.53 ; Retrieved 37 possibly backward subsumed rows in 46 calls.
% 0.19/0.53 ; Path-index has 68 entries (115 at peak, 134 added, 66 deleted).
% 0.19/0.53 ; Path-index has 195 nodes (234 at peak, 259 added, 64 deleted).
% 0.19/0.53 ; Trie-index has 68 entries (115 at peak, 134 added, 66 deleted).
% 0.19/0.53 ; Trie-index has 194 nodes (392 at peak, 501 added, 307 deleted).
% 0.19/0.53 ; Retrieved 63 generalization terms in 161 calls.
% 0.19/0.53 ; Retrieved 21 instance terms in 17 calls.
% 0.19/0.53 ; Retrieved 1,076 unifiable terms in 230 calls.
% 0.19/0.53 ;
% 0.19/0.53 ; The agenda of backward simplifiable rows to process has 6 entries:
% 0.19/0.53 ; 6 with value 0
% 0.19/0.53 ; The agenda of rows to process has 8 entries:
% 0.19/0.53 ; 4 with value 18 2 with value 24 2 with value 32
% 0.19/0.53 ; The agenda of rows to give has 13 entries:
% 0.19/0.53 ; 1 with value (4 6) 3 with value (4 14) 1 with value (4 26)
% 0.19/0.53 ; 2 with value (4 11) 1 with value (4 19) 2 with value (4 28)
% 0.19/0.53 ; 1 with value (4 12) 1 with value (4 20) 1 with value (4 41)
% 0.19/0.53 Evaluation took:
% 0.19/0.53 0.056 seconds of real time
% 0.19/0.53 0.048407 seconds of user run time
% 0.19/0.53 0.007871 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 3,811,864 bytes consed.
% 0.19/0.53 :PROOF-FOUND
% 0.19/0.53 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T03:03:13
% 0.19/0.53 :PROOF-FOUND
% 0.19/0.53 *
%------------------------------------------------------------------------------