TSTP Solution File: SET927+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET927+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n021.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 05:13:30 EDT 2022
% Result : Theorem 0.39s 0.57s
% Output : Refutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of clauses : 20 ( 4 unt; 10 nHn; 15 RR)
% Number of literals : 43 ( 27 equ; 15 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 18 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(4,negated_conjecture,
( set_difference(unordered_pair('SKOLEMAAAV3','SKOLEMAAAV4'),'SKOLEMAAAV5') != singleton('SKOLEMAAAV3')
| in('SKOLEMAAAV3','SKOLEMAAAV5')
| ~ in('SKOLEMAAAV4','SKOLEMAAAV5') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t70_zfmisc_1) ).
cnf(5,negated_conjecture,
( set_difference(unordered_pair('SKOLEMAAAV3','SKOLEMAAAV4'),'SKOLEMAAAV5') != singleton('SKOLEMAAAV3')
| in('SKOLEMAAAV3','SKOLEMAAAV5')
| 'SKOLEMAAAV3' != 'SKOLEMAAAV4' ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t70_zfmisc_1) ).
cnf(6,negated_conjecture,
( set_difference(unordered_pair('SKOLEMAAAV3','SKOLEMAAAV4'),'SKOLEMAAAV5') = singleton('SKOLEMAAAV3')
| ~ in('SKOLEMAAAV3','SKOLEMAAAV5') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t70_zfmisc_1) ).
cnf(7,negated_conjecture,
( set_difference(unordered_pair('SKOLEMAAAV3','SKOLEMAAAV4'),'SKOLEMAAAV5') = singleton('SKOLEMAAAV3')
| in('SKOLEMAAAV4','SKOLEMAAAV5')
| 'SKOLEMAAAV3' = 'SKOLEMAAAV4' ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t70_zfmisc_1) ).
cnf(8,axiom,
( set_difference(unordered_pair(X,Y),Z) != singleton(X)
| ~ in(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l39_zfmisc_1) ).
cnf(9,axiom,
( set_difference(unordered_pair(X,Y),Z) != singleton(X)
| in(Y,Z)
| X = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l39_zfmisc_1) ).
cnf(10,axiom,
( set_difference(unordered_pair(X,Y),Z) = singleton(X)
| in(X,Z)
| ~ in(Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l39_zfmisc_1) ).
cnf(11,axiom,
( set_difference(unordered_pair(X,Y),Z) = singleton(X)
| in(X,Z)
| X != Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l39_zfmisc_1) ).
cnf(13,plain,
( set_difference(unordered_pair(X,X),Y) = singleton(X)
| in(X,Y) ),
inference('HYPERRESOLVE',[status(thm)],[11,theory(equality)]) ).
cnf(14,plain,
( set_difference(unordered_pair('SKOLEMAAAV3','SKOLEMAAAV3'),'SKOLEMAAAV5') = singleton('SKOLEMAAAV3')
| set_difference(unordered_pair('SKOLEMAAAV3','SKOLEMAAAV4'),'SKOLEMAAAV5') = singleton('SKOLEMAAAV3') ),
inference('HYPERRESOLVE',[status(thm)],[6,13]) ).
cnf(17,plain,
( set_difference(unordered_pair(X,X),Y) = singleton(X)
| set_difference(unordered_pair(Z,X),Y) = singleton(Z)
| in(Z,Y) ),
inference('HYPERRESOLVE',[status(thm)],[10,13]) ).
cnf(18,plain,
set_difference(unordered_pair('SKOLEMAAAV3','SKOLEMAAAV3'),'SKOLEMAAAV5') = singleton('SKOLEMAAAV3'),
inference('HYPERRESOLVE',[status(thm)],[8,14,13]) ).
cnf(19,plain,
~ in('SKOLEMAAAV3','SKOLEMAAAV5'),
inference('UR-RESOLVE',[status(thm)],[8,18]) ).
cnf(20,plain,
( set_difference(unordered_pair('SKOLEMAAAV3','SKOLEMAAAV4'),'SKOLEMAAAV5') != singleton('SKOLEMAAAV3')
| ~ in('SKOLEMAAAV4','SKOLEMAAAV5') ),
inference('REWRITE',[status(thm)],[4,19]) ).
cnf(21,plain,
( set_difference(unordered_pair('SKOLEMAAAV3','SKOLEMAAAV4'),'SKOLEMAAAV5') != singleton('SKOLEMAAAV3')
| 'SKOLEMAAAV3' != 'SKOLEMAAAV4' ),
inference('REWRITE',[status(thm)],[5,19]) ).
cnf(31,plain,
( set_difference(unordered_pair(X,X),'SKOLEMAAAV5') = singleton(X)
| set_difference(unordered_pair('SKOLEMAAAV3',X),'SKOLEMAAAV5') = singleton('SKOLEMAAAV3') ),
inference('HYPERRESOLVE',[status(thm)],[8,17,18]) ).
cnf(45,plain,
( set_difference(unordered_pair('SKOLEMAAAV3','SKOLEMAAAV4'),'SKOLEMAAAV5') = singleton('SKOLEMAAAV3')
| 'SKOLEMAAAV3' = 'SKOLEMAAAV4' ),
inference('HYPERRESOLVE',[status(thm)],[8,31,7]) ).
cnf(56,plain,
( 'SKOLEMAAAV3' = 'SKOLEMAAAV4'
| in('SKOLEMAAAV4','SKOLEMAAAV5') ),
inference('HYPERRESOLVE',[status(thm)],[9,45]) ).
cnf(63,plain,
'SKOLEMAAAV3' = 'SKOLEMAAAV4',
inference('HYPERRESOLVE',[status(thm)],[20,56,45]) ).
cnf(64,plain,
$false,
inference('REWRITE',[status(thm)],[21,18,63,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SET927+1 : TPTP v8.1.0. Released v3.2.0.
% 0.13/0.14 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Mon Jul 11 04:52:53 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.20/0.48 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.49 *
% 0.20/0.49 *
% 0.20/0.49 #<PACKAGE "SNARK-USER">
% 0.20/0.49 *
% 0.20/0.50 SNARK-TPTP-OPTIONS
% 0.20/0.50 *
% 0.20/0.50 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.50 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.50 (USE-FACTORING :POS)
% 0.20/0.50 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.50 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.50 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.50 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.50 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.50 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.50 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.50 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.50 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.50 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.50 *
% 0.20/0.50 "."
% 0.20/0.50 *
% 0.20/0.50 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T04:52:53
% 0.20/0.50 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-07-11T04:52:53
% 0.20/0.51
% 0.20/0.51 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.39/0.57 ; Declaring unordered_pair to be commutative.
% 0.39/0.57
% 0.39/0.57 #||
% 0.39/0.57 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.39/0.57 % SZS output start Refutation
% See solution above
% 0.39/0.57 ||#
% 0.39/0.57
% 0.39/0.57 ; Summary of computation:
% 0.39/0.57 ; 218 formulas have been input or derived (from 30 formulas).
% 0.39/0.57 ; 64 (29%) were retained. Of these,
% 0.39/0.57 ; 24 (38%) were simplified or subsumed later,
% 0.39/0.57 ; 40 (62%) are still being kept.
% 0.39/0.57 ;
% 0.39/0.57 ; Run time in seconds excluding printing time:
% 0.39/0.57 ; 0.002 3% Read assertion file (1 call)
% 0.39/0.57 ; 0.001 1% Assert (6 calls)
% 0.39/0.57 ; 0.008 11% Process new row (181 calls)
% 0.39/0.57 ; 0.007 10% Resolution (58 calls)
% 0.39/0.57 ; 0.006 9% Paramodulation (29 calls)
% 0.39/0.57 ; 0.001 1% Factoring (10 calls)
% 0.39/0.57 ; 0.005 7% Condensing (87 calls)
% 0.39/0.57 ; 0.004 6% Forward subsumption (87 calls)
% 0.39/0.57 ; 0.004 6% Backward subsumption (56 calls)
% 0.39/0.57 ; 0.001 1% Clause clause subsumption (208 calls)
% 0.39/0.57 ; 0.006 9% Forward simplification (169 calls)
% 0.39/0.57 ; 0.001 1% Backward simplification (64 calls)
% 0.39/0.57 ; 0.000 0% Ordering (573 calls)
% 0.39/0.57 ; 0.000 0% Sortal reasoning (32 calls)
% 0.39/0.57 ; 0.000 0% Purity testing (1 call)
% 0.39/0.57 ; 0.024 34% Other
% 0.39/0.57 ; 0.070 Total
% 0.39/0.57 ; 0.073 Real time
% 0.39/0.57 ;
% 0.39/0.57 ; Term-hash-array has 142 terms in all.
% 0.39/0.57 ; Feature-vector-row-index has 32 entries (44 at peak, 56 added, 24 deleted).
% 0.39/0.57 ; Feature-vector-row-index has 219 nodes (367 at peak, 549 added, 330 deleted).
% 0.39/0.57 ; Retrieved 190 possibly forward subsuming rows in 87 calls.
% 0.39/0.57 ; Retrieved 53 possibly backward subsumed rows in 56 calls.
% 0.39/0.57 ; Path-index has 106 entries (125 at peak, 150 added, 44 deleted).
% 0.39/0.57 ; Path-index has 111 nodes (124 at peak, 150 added, 39 deleted).
% 0.39/0.57 ; Trie-index has 106 entries (125 at peak, 150 added, 44 deleted).
% 0.39/0.57 ; Trie-index has 168 nodes (217 at peak, 297 added, 129 deleted).
% 0.39/0.57 ; Retrieved 256 generalization terms in 282 calls.
% 0.39/0.57 ; Retrieved 26 instance terms in 7 calls.
% 0.39/0.57 ; Retrieved 913 unifiable terms in 230 calls.
% 0.39/0.57 ;
% 0.39/0.57 ; The agenda of backward simplifiable rows to process has 10 entries:
% 0.39/0.57 ; 10 with value 0
% 0.39/0.57 ; The agenda of rows to process has 5 entries:
% 0.39/0.57 ; 3 with value 22 1 with value 26 1 with value 33
% 0.39/0.57 ; The agenda of rows to give has 21 entries:
% 0.39/0.57 ; 1 with value (4 11) 1 with value (4 37) 2 with value (4 41)
% 0.39/0.57 ; 1 with value (4 20) 1 with value (4 38) 1 with value (4 46)
% 0.39/0.57 ; 2 with value (4 26) 1 with value (4 39) 3 with value (4 47)
% 0.39/0.57 ; 2 with value (4 27) 3 with value (4 40) 2 with value (4 48)
% 0.39/0.57 ; 1 with value (4 36)
% 0.39/0.57 Evaluation took:
% 0.39/0.57 0.074 seconds of real time
% 0.39/0.57 0.069493 seconds of user run time
% 0.39/0.57 0.003988 seconds of system run time
% 0.39/0.57 0 calls to %EVAL
% 0.39/0.57 0 page faults and
% 0.39/0.57 4,872,160 bytes consed.
% 0.39/0.57 :PROOF-FOUND
% 0.39/0.57 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T04:52:53
% 0.39/0.57 :PROOF-FOUND
% 0.39/0.57 *
%------------------------------------------------------------------------------