TSTP Solution File: SEU284+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU284+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n028.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 14:20:55 EDT 2022
% Result : Theorem 0.42s 0.62s
% Output : Refutation 0.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 14
% Syntax : Number of clauses : 38 ( 8 unt; 18 nHn; 32 RR)
% Number of literals : 90 ( 62 equ; 36 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 1 con; 0-2 aty)
% Number of variables : 41 ( 18 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
( ~ relation(X)
| ~ function(X)
| relation_dom(X) != 'SKOLEMAAAV1'
| in('SKOLEMAAAV2'(X),'SKOLEMAAAV1') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_funct_1__e16_22__wellord2) ).
cnf(2,negated_conjecture,
( ~ relation(X)
| ~ function(X)
| relation_dom(X) != 'SKOLEMAAAV1'
| apply(X,'SKOLEMAAAV2'(X)) != singleton('SKOLEMAAAV2'(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_funct_1__e16_22__wellord2) ).
cnf(18,axiom,
( 'SKOLEMAAAV5'(X) = singleton('SKOLEMAAAV4'(X))
| Y != singleton('SKOLEMAAAV7'(X))
| relation('SKOLEMAAAV8'(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s2_funct_1__e16_22__wellord2__1) ).
cnf(19,axiom,
( 'SKOLEMAAAV5'(X) = singleton('SKOLEMAAAV4'(X))
| Y != singleton('SKOLEMAAAV7'(X))
| function('SKOLEMAAAV8'(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s2_funct_1__e16_22__wellord2__1) ).
cnf(20,axiom,
( 'SKOLEMAAAV5'(X) = singleton('SKOLEMAAAV4'(X))
| Y != singleton('SKOLEMAAAV7'(X))
| relation_dom('SKOLEMAAAV8'(X)) = X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s2_funct_1__e16_22__wellord2__1) ).
cnf(21,axiom,
( 'SKOLEMAAAV5'(X) = singleton('SKOLEMAAAV4'(X))
| Y != singleton('SKOLEMAAAV7'(X))
| ~ in(Z,X)
| apply('SKOLEMAAAV8'(X),Z) = singleton(Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s2_funct_1__e16_22__wellord2__1) ).
cnf(26,axiom,
( 'SKOLEMAAAV6'(X) = singleton('SKOLEMAAAV4'(X))
| Y != singleton('SKOLEMAAAV7'(X))
| relation('SKOLEMAAAV8'(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s2_funct_1__e16_22__wellord2__1) ).
cnf(27,axiom,
( 'SKOLEMAAAV6'(X) = singleton('SKOLEMAAAV4'(X))
| Y != singleton('SKOLEMAAAV7'(X))
| function('SKOLEMAAAV8'(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s2_funct_1__e16_22__wellord2__1) ).
cnf(28,axiom,
( 'SKOLEMAAAV6'(X) = singleton('SKOLEMAAAV4'(X))
| Y != singleton('SKOLEMAAAV7'(X))
| relation_dom('SKOLEMAAAV8'(X)) = X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s2_funct_1__e16_22__wellord2__1) ).
cnf(29,axiom,
( 'SKOLEMAAAV6'(X) = singleton('SKOLEMAAAV4'(X))
| Y != singleton('SKOLEMAAAV7'(X))
| ~ in(Z,X)
| apply('SKOLEMAAAV8'(X),Z) = singleton(Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s2_funct_1__e16_22__wellord2__1) ).
cnf(34,axiom,
( 'SKOLEMAAAV5'(X) != 'SKOLEMAAAV6'(X)
| Y != singleton('SKOLEMAAAV7'(X))
| relation('SKOLEMAAAV8'(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s2_funct_1__e16_22__wellord2__1) ).
cnf(35,axiom,
( 'SKOLEMAAAV5'(X) != 'SKOLEMAAAV6'(X)
| Y != singleton('SKOLEMAAAV7'(X))
| function('SKOLEMAAAV8'(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s2_funct_1__e16_22__wellord2__1) ).
cnf(36,axiom,
( 'SKOLEMAAAV5'(X) != 'SKOLEMAAAV6'(X)
| Y != singleton('SKOLEMAAAV7'(X))
| relation_dom('SKOLEMAAAV8'(X)) = X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s2_funct_1__e16_22__wellord2__1) ).
cnf(37,axiom,
( 'SKOLEMAAAV5'(X) != 'SKOLEMAAAV6'(X)
| Y != singleton('SKOLEMAAAV7'(X))
| ~ in(Z,X)
| apply('SKOLEMAAAV8'(X),Z) = singleton(Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s2_funct_1__e16_22__wellord2__1) ).
cnf(84,plain,
( 'SKOLEMAAAV5'(X) = singleton('SKOLEMAAAV4'(X))
| relation('SKOLEMAAAV8'(X)) ),
inference('HYPERRESOLVE',[status(thm)],[18,theory(equality)]) ).
cnf(85,plain,
( 'SKOLEMAAAV5'(X) = singleton('SKOLEMAAAV4'(X))
| function('SKOLEMAAAV8'(X)) ),
inference('HYPERRESOLVE',[status(thm)],[19,theory(equality)]) ).
cnf(86,plain,
( 'SKOLEMAAAV6'(X) = singleton('SKOLEMAAAV4'(X))
| relation('SKOLEMAAAV8'(X)) ),
inference('HYPERRESOLVE',[status(thm)],[26,theory(equality)]) ).
cnf(87,plain,
( 'SKOLEMAAAV6'(X) = singleton('SKOLEMAAAV4'(X))
| function('SKOLEMAAAV8'(X)) ),
inference('HYPERRESOLVE',[status(thm)],[27,theory(equality)]) ).
cnf(90,plain,
( 'SKOLEMAAAV5'(X) = singleton('SKOLEMAAAV4'(X))
| relation_dom('SKOLEMAAAV8'(X)) = X ),
inference('HYPERRESOLVE',[status(thm)],[20,theory(equality)]) ).
cnf(91,plain,
( 'SKOLEMAAAV6'(X) = singleton('SKOLEMAAAV4'(X))
| relation_dom('SKOLEMAAAV8'(X)) = X ),
inference('HYPERRESOLVE',[status(thm)],[28,theory(equality)]) ).
cnf(119,plain,
( 'SKOLEMAAAV5'('SKOLEMAAAV1') = singleton('SKOLEMAAAV4'('SKOLEMAAAV1'))
| in('SKOLEMAAAV2'('SKOLEMAAAV8'('SKOLEMAAAV1')),'SKOLEMAAAV1') ),
inference('HYPERRESOLVE',[status(thm)],[1,90,84,85]) ).
cnf(123,plain,
( 'SKOLEMAAAV6'('SKOLEMAAAV1') = singleton('SKOLEMAAAV4'('SKOLEMAAAV1'))
| in('SKOLEMAAAV2'('SKOLEMAAAV8'('SKOLEMAAAV1')),'SKOLEMAAAV1') ),
inference('HYPERRESOLVE',[status(thm)],[1,91,86,87]) ).
cnf(128,plain,
( 'SKOLEMAAAV5'('SKOLEMAAAV1') = singleton('SKOLEMAAAV4'('SKOLEMAAAV1'))
| apply('SKOLEMAAAV8'('SKOLEMAAAV1'),'SKOLEMAAAV2'('SKOLEMAAAV8'('SKOLEMAAAV1'))) = singleton('SKOLEMAAAV2'('SKOLEMAAAV8'('SKOLEMAAAV1'))) ),
inference('HYPERRESOLVE',[status(thm)],[21,119,theory(equality)]) ).
cnf(130,plain,
( 'SKOLEMAAAV6'('SKOLEMAAAV1') = singleton('SKOLEMAAAV4'('SKOLEMAAAV1'))
| apply('SKOLEMAAAV8'('SKOLEMAAAV1'),'SKOLEMAAAV2'('SKOLEMAAAV8'('SKOLEMAAAV1'))) = singleton('SKOLEMAAAV2'('SKOLEMAAAV8'('SKOLEMAAAV1'))) ),
inference('HYPERRESOLVE',[status(thm)],[29,123,theory(equality)]) ).
cnf(159,plain,
'SKOLEMAAAV5'('SKOLEMAAAV1') = singleton('SKOLEMAAAV4'('SKOLEMAAAV1')),
inference('HYPERRESOLVE',[status(thm)],[2,128,84,85,90]) ).
cnf(162,plain,
( 'SKOLEMAAAV6'('SKOLEMAAAV1') != singleton('SKOLEMAAAV4'('SKOLEMAAAV1'))
| X != singleton('SKOLEMAAAV7'('SKOLEMAAAV1'))
| function('SKOLEMAAAV8'('SKOLEMAAAV1')) ),
inference('PARAMODULATE',[status(thm)],[35,159,theory(equality)]) ).
cnf(163,plain,
( 'SKOLEMAAAV6'('SKOLEMAAAV1') != singleton('SKOLEMAAAV4'('SKOLEMAAAV1'))
| X != singleton('SKOLEMAAAV7'('SKOLEMAAAV1'))
| relation('SKOLEMAAAV8'('SKOLEMAAAV1')) ),
inference('PARAMODULATE',[status(thm)],[34,159,theory(equality)]) ).
cnf(165,plain,
( 'SKOLEMAAAV6'('SKOLEMAAAV1') != singleton('SKOLEMAAAV4'('SKOLEMAAAV1'))
| X != singleton('SKOLEMAAAV7'('SKOLEMAAAV1'))
| relation_dom('SKOLEMAAAV8'('SKOLEMAAAV1')) = 'SKOLEMAAAV1' ),
inference('PARAMODULATE',[status(thm)],[36,159,theory(equality)]) ).
cnf(168,plain,
'SKOLEMAAAV6'('SKOLEMAAAV1') = singleton('SKOLEMAAAV4'('SKOLEMAAAV1')),
inference('HYPERRESOLVE',[status(thm)],[2,130,86,87,91]) ).
cnf(171,plain,
( X != singleton('SKOLEMAAAV7'('SKOLEMAAAV1'))
| function('SKOLEMAAAV8'('SKOLEMAAAV1')) ),
inference('REWRITE',[status(thm)],[162,168,theory(equality)]) ).
cnf(172,plain,
( X != singleton('SKOLEMAAAV7'('SKOLEMAAAV1'))
| relation('SKOLEMAAAV8'('SKOLEMAAAV1')) ),
inference('REWRITE',[status(thm)],[163,168,theory(equality)]) ).
cnf(174,plain,
( X != singleton('SKOLEMAAAV7'('SKOLEMAAAV1'))
| relation_dom('SKOLEMAAAV8'('SKOLEMAAAV1')) = 'SKOLEMAAAV1' ),
inference('REWRITE',[status(thm)],[165,168,theory(equality)]) ).
cnf(179,plain,
function('SKOLEMAAAV8'('SKOLEMAAAV1')),
inference('HYPERRESOLVE',[status(thm)],[171,theory(equality)]) ).
cnf(180,plain,
relation('SKOLEMAAAV8'('SKOLEMAAAV1')),
inference('HYPERRESOLVE',[status(thm)],[172,theory(equality)]) ).
cnf(184,plain,
relation_dom('SKOLEMAAAV8'('SKOLEMAAAV1')) = 'SKOLEMAAAV1',
inference('HYPERRESOLVE',[status(thm)],[174,theory(equality)]) ).
cnf(185,plain,
in('SKOLEMAAAV2'('SKOLEMAAAV8'('SKOLEMAAAV1')),'SKOLEMAAAV1'),
inference('HYPERRESOLVE',[status(thm)],[1,184,180,179]) ).
cnf(187,plain,
apply('SKOLEMAAAV8'('SKOLEMAAAV1'),'SKOLEMAAAV2'('SKOLEMAAAV8'('SKOLEMAAAV1'))) != singleton('SKOLEMAAAV2'('SKOLEMAAAV8'('SKOLEMAAAV1'))),
inference('UR-RESOLVE',[status(thm)],[2,184,180,179]) ).
cnf(196,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[37,187,185,theory(equality)]),168,159,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SEU284+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.14 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n028.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 : Mon Jun 20 02:40:46 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.49 #<PACKAGE "SNARK-USER">
% 0.20/0.49 *
% 0.20/0.49 SNARK-TPTP-OPTIONS
% 0.20/0.49 *
% 0.20/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49 (USE-FACTORING :POS)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49 *
% 0.20/0.49 "."
% 0.20/0.49 *
% 0.20/0.49 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-20T02:40:46
% 0.20/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-06-20T02:40:46
% 0.20/0.50 WARNING:
% 0.20/0.50 |relation_empty_yielding| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.42/0.62
% 0.42/0.62
% 0.42/0.62 #||
% 0.42/0.62 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.42/0.62 % SZS output start Refutation
% See solution above
% 0.42/0.62 ||#
% 0.42/0.62
% 0.42/0.62 ; Summary of computation:
% 0.42/0.62 ; 709 formulas have been input or derived (from 139 formulas).
% 0.42/0.62 ; 196 (28%) were retained. Of these,
% 0.42/0.62 ; 70 (36%) were simplified or subsumed later,
% 0.42/0.62 ; 126 (64%) are still being kept.
% 0.42/0.62 ;
% 0.42/0.62 ; Run time in seconds excluding printing time:
% 0.42/0.62 ; 0.005 4% Read assertion file (1 call)
% 0.42/0.62 ; 0.002 2% Assert (27 calls)
% 0.42/0.62 ; 0.013 10% Process new row (624 calls)
% 0.42/0.62 ; 0.014 11% Resolution (276 calls)
% 0.42/0.62 ; 0.005 4% Paramodulation (138 calls)
% 0.42/0.62 ; 0.001 1% Factoring (48 calls)
% 0.42/0.62 ; 0.002 2% Condensing (336 calls)
% 0.42/0.62 ; 0.032 25% Forward subsumption (336 calls)
% 0.42/0.62 ; 0.001 1% Backward subsumption (145 calls)
% 0.42/0.62 ; 0.003 2% Clause clause subsumption (288 calls)
% 0.42/0.62 ; 0.013 10% Forward simplification (592 calls)
% 0.42/0.62 ; 0.004 3% Backward simplification (196 calls)
% 0.42/0.62 ; 0.002 2% Ordering (779 calls)
% 0.42/0.62 ; 0.000 0% Sortal reasoning (32 calls)
% 0.42/0.62 ; 0.001 1% Purity testing (1 call)
% 0.42/0.62 ; 0.031 24% Other
% 0.42/0.62 ; 0.129 Total
% 0.42/0.62 ; 0.133 Real time
% 0.42/0.62 ;
% 0.42/0.62 ; Term-hash-array has 244 terms in all.
% 0.42/0.62 ; Feature-vector-row-index has 88 entries (98 at peak, 145 added, 57 deleted).
% 0.42/0.62 ; Feature-vector-row-index has 618 nodes (775 at peak, 1,098 added, 480 deleted).
% 0.42/0.62 ; Retrieved 390 possibly forward subsuming rows in 336 calls.
% 0.42/0.62 ; Retrieved 32 possibly backward subsumed rows in 145 calls.
% 0.42/0.62 ; Path-index has 216 entries (216 at peak, 279 added, 63 deleted).
% 0.42/0.62 ; Path-index has 350 nodes (350 at peak, 420 added, 70 deleted).
% 0.42/0.62 ; Trie-index has 216 entries (216 at peak, 279 added, 63 deleted).
% 0.42/0.62 ; Trie-index has 474 nodes (478 at peak, 606 added, 132 deleted).
% 0.42/0.62 ; Retrieved 243 generalization terms in 1,429 calls.
% 0.42/0.62 ; Retrieved 50 instance terms in 50 calls.
% 0.42/0.62 ; Retrieved 3,874 unifiable terms in 1,413 calls.
% 0.42/0.62 ;
% 0.42/0.62 ; The agenda of rows to process has 2 entries:
% 0.42/0.62 ; 2 with value 17
% 0.42/0.62 ; The agenda of rows to give has 32 entries:
% 0.42/0.62 ; 1 with value (4 25) 2 with value (4 31) 2 with value (4 40)
% 0.42/0.62 ; 5 with value (4 27) 2 with value (4 33) 3 with value (4 49)
% 0.42/0.62 ; 3 with value (4 28) 4 with value (4 34) 4 with value (4 52)
% 0.42/0.62 ; 6 with value (4 29)
% 0.42/0.62 Evaluation took:
% 0.42/0.62 0.133 seconds of real time
% 0.42/0.62 0.117942 seconds of user run time
% 0.42/0.62 0.015403 seconds of system run time
% 0.42/0.62 0 calls to %EVAL
% 0.42/0.62 0 page faults and
% 0.42/0.62 10,380,112 bytes consed.
% 0.42/0.62 :PROOF-FOUND
% 0.42/0.62 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-20T02:40:46
% 0.42/0.62 :PROOF-FOUND
% 0.42/0.62 *
%------------------------------------------------------------------------------