TSTP Solution File: SET995+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET995+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n012.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 05:13:54 EDT 2022
% Result : Theorem 0.69s 0.96s
% Output : Refutation 0.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 12
% Syntax : Number of clauses : 20 ( 16 unt; 1 nHn; 20 RR)
% Number of literals : 39 ( 17 equ; 22 neg)
% Maximal clause size : 7 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 11 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(4,axiom,
( X != singleton(Y)
| ~ in(Z,X)
| Z = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_tarski) ).
cnf(10,axiom,
( ~ relation(X)
| ~ function(X)
| Y != relation_rng(X)
| in(Z,Y)
| ~ in(U,relation_dom(X))
| Z != apply(X,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_funct_1) ).
cnf(39,negated_conjecture,
relation('SKOLEMAAAW15'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_funct_1) ).
cnf(40,negated_conjecture,
function('SKOLEMAAAW15'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_funct_1) ).
cnf(41,negated_conjecture,
relation('SKOLEMAAAW16'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_funct_1) ).
cnf(42,negated_conjecture,
function('SKOLEMAAAW16'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_funct_1) ).
cnf(43,negated_conjecture,
relation_dom('SKOLEMAAAW15') = relation_dom('SKOLEMAAAW16'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_funct_1) ).
cnf(44,negated_conjecture,
relation_rng('SKOLEMAAAW15') = singleton('SKOLEMAAAW14'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_funct_1) ).
cnf(45,negated_conjecture,
relation_rng('SKOLEMAAAW16') = singleton('SKOLEMAAAW14'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_funct_1) ).
cnf(46,plain,
relation_rng('SKOLEMAAAW16') = relation_rng('SKOLEMAAAW15'),
inference('REWRITE',[status(thm)],[45,44,theory(equality)]) ).
cnf(47,negated_conjecture,
'SKOLEMAAAW15' != 'SKOLEMAAAW16',
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_funct_1) ).
cnf(57,axiom,
( ~ relation(X)
| ~ function(X)
| ~ relation(Y)
| ~ function(Y)
| relation_dom(X) != relation_dom(Y)
| in('SKOLEMAAAW17'(X,Y),relation_dom(X))
| X = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_funct_1) ).
cnf(58,axiom,
( ~ relation(X)
| ~ function(X)
| ~ relation(Y)
| ~ function(Y)
| relation_dom(X) != relation_dom(Y)
| apply(X,'SKOLEMAAAW17'(X,Y)) != apply(Y,'SKOLEMAAAW17'(X,Y))
| X = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_funct_1) ).
cnf(129,plain,
in('SKOLEMAAAW17'('SKOLEMAAAW16','SKOLEMAAAW15'),relation_dom('SKOLEMAAAW15')),
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[57,41,42,39,40,43,47]),43,theory(equality)]) ).
cnf(134,plain,
apply('SKOLEMAAAW16','SKOLEMAAAW17'('SKOLEMAAAW16','SKOLEMAAAW15')) != apply('SKOLEMAAAW15','SKOLEMAAAW17'('SKOLEMAAAW16','SKOLEMAAAW15')),
inference('UR-RESOLVE',[status(thm)],[58,41,42,39,40,43,47]) ).
cnf(263,plain,
in(apply('SKOLEMAAAW15','SKOLEMAAAW17'('SKOLEMAAAW16','SKOLEMAAAW15')),relation_rng('SKOLEMAAAW15')),
inference('HYPERRESOLVE',[status(thm)],[10,129,39,40,theory(equality),theory(equality)]) ).
cnf(1062,plain,
apply('SKOLEMAAAW15','SKOLEMAAAW17'('SKOLEMAAAW16','SKOLEMAAAW15')) = 'SKOLEMAAAW14',
inference('HYPERRESOLVE',[status(thm)],[4,263,44]) ).
cnf(1063,plain,
apply('SKOLEMAAAW16','SKOLEMAAAW17'('SKOLEMAAAW16','SKOLEMAAAW15')) != 'SKOLEMAAAW14',
inference('REWRITE',[status(thm)],[134,1062,theory(equality)]) ).
cnf(1064,plain,
~ in(apply('SKOLEMAAAW16','SKOLEMAAAW17'('SKOLEMAAAW16','SKOLEMAAAW15')),relation_rng('SKOLEMAAAW15')),
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[4,1063,theory(equality)]),44,theory(equality)]) ).
cnf(1450,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[10,1064,41,42,46,theory(equality)]),129,43,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SET995+1 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.15 % Command : run-snark %s %d
% 0.14/0.36 % Computer : n012.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sat Jul 9 17:29:43 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.22/0.51 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.52 *
% 0.22/0.52 *
% 0.22/0.52 #<PACKAGE "SNARK-USER">
% 0.22/0.52 *
% 0.22/0.52 SNARK-TPTP-OPTIONS
% 0.22/0.52 *
% 0.22/0.52 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.52 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.52 (USE-FACTORING :POS)
% 0.22/0.52 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.52 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.52 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.52 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.52 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.52 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.52 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.52 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.52 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.52 (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.52 *
% 0.22/0.52 "."
% 0.22/0.52 *
% 0.22/0.53 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-09T17:29:44
% 0.22/0.53 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n012.cluster.edu at 2022-07-09T17:29:44
% 0.22/0.55 WARNING:
% 0.22/0.55 |relation_empty_yielding| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.69/0.96
% 0.69/0.96
% 0.69/0.96 #||
% 0.69/0.96 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.69/0.96 % SZS output start Refutation
% See solution above
% 0.79/0.96 ||#
% 0.79/0.96
% 0.79/0.96 ; Summary of computation:
% 0.79/0.96 ; 5081 formulas have been input or derived (from 472 formulas).
% 0.79/0.96 ; 1450 (29%) were retained. Of these,
% 0.79/0.96 ; 72 ( 5%) were simplified or subsumed later,
% 0.79/0.96 ; 1378 (95%) are still being kept.
% 0.79/0.96 ;
% 0.79/0.96 ; Run time in seconds excluding printing time:
% 0.79/0.96 ; 0.007 2% Read assertion file (1 call)
% 0.79/0.96 ; 0.002 0% Assert (34 calls)
% 0.79/0.96 ; 0.097 22% Process new row (4,586 calls)
% 0.79/0.96 ; 0.174 40% Resolution (942 calls)
% 0.79/0.96 ; 0.009 2% Paramodulation (471 calls)
% 0.79/0.96 ; 0.000 0% Factoring (6 calls)
% 0.79/0.96 ; 0.000 0% Condensing (264 calls)
% 0.79/0.96 ; 0.014 3% Forward subsumption (264 calls)
% 0.79/0.96 ; 0.001 0% Backward subsumption (112 calls)
% 0.79/0.96 ; 0.001 0% Clause clause subsumption (195 calls)
% 0.79/0.96 ; 0.069 16% Forward simplification (4,478 calls)
% 0.79/0.96 ; 0.014 3% Backward simplification (1,449 calls)
% 0.79/0.96 ; 0.000 0% Ordering (1,175 calls)
% 0.79/0.96 ; 0.000 0% Sortal reasoning (32 calls)
% 0.79/0.96 ; 0.001 0% Purity testing (1 call)
% 0.79/0.96 ; 0.044 10% Other
% 0.79/0.96 ; 0.433 Total
% 0.79/0.96 ; 0.435 Real time
% 0.79/0.96 ;
% 0.79/0.96 ; Term-hash-array has 2,145 terms in all.
% 0.79/0.96 ; Feature-vector-row-index has 101 entries (101 at peak, 112 added, 11 deleted).
% 0.79/0.96 ; Feature-vector-row-index has 649 nodes (649 at peak, 744 added, 95 deleted).
% 0.79/0.96 ; Retrieved 366 possibly forward subsuming rows in 264 calls.
% 0.79/0.96 ; Retrieved 15 possibly backward subsumed rows in 112 calls.
% 0.79/0.96 ; Path-index has 2,070 entries (2,070 at peak, 2,173 added, 103 deleted).
% 0.79/0.96 ; Path-index has 2,917 nodes (2,917 at peak, 3,016 added, 99 deleted).
% 0.79/0.96 ; Trie-index has 2,070 entries (2,070 at peak, 2,173 added, 103 deleted).
% 0.79/0.96 ; Trie-index has 5,657 nodes (5,657 at peak, 5,940 added, 283 deleted).
% 0.79/0.96 ; Retrieved 8,640 generalization terms in 18,944 calls.
% 0.79/0.96 ; Retrieved 1,432 instance terms in 1,336 calls.
% 0.79/0.96 ; Retrieved 229,704 unifiable terms in 17,911 calls.
% 0.79/0.96 ;
% 0.79/0.96 ; The agenda of rows to process has 12 entries:
% 0.79/0.96 ; 1 with value 13 4 with value 17 2 with value 20
% 0.79/0.96 ; 1 with value 14 2 with value 19 1 with value 22
% 0.79/0.96 ; 1 with value 16
% 0.79/0.96 ; The agenda of rows to give has 920 entries:
% 0.79/0.96 ; 20 with value (4 13) 65 with value (4 20) 3 with value (4 29)
% 0.79/0.96 ; 146 with value (4 14) 12 with value (4 21) 6 with value (4 30)
% 0.79/0.96 ; 139 with value (4 15) 6 with value (4 22) 3 with value (4 32)
% 0.79/0.96 ; 179 with value (4 16) 10 with value (4 23) 2 with value (4 34)
% 0.79/0.96 ; 143 with value (4 17) 2 with value (4 24) 8 with value (4 35)
% 0.79/0.96 ; 60 with value (4 18) 8 with value (4 26) 1 with value (4 40)
% 0.79/0.96 ; 104 with value (4 19) 3 with value (4 27)
% 0.79/0.96 Evaluation took:
% 0.79/0.96 0.436 seconds of real time
% 0.79/0.96 0.41596 seconds of user run time
% 0.79/0.96 0.020207 seconds of system run time
% 0.79/0.96 [Run times include 0.024 seconds GC run time.]
% 0.79/0.96 0 calls to %EVAL
% 0.79/0.96 0 page faults and
% 0.79/0.96 27,593,192 bytes consed.
% 0.79/0.96 :PROOF-FOUND
% 0.79/0.96 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-09T17:29:44
% 0.79/0.96 :PROOF-FOUND
% 0.79/0.96 *
%------------------------------------------------------------------------------