TSTP Solution File: SEU252+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU252+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n015.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 14:20:38 EDT 2022
% Result : Theorem 1.65s 1.84s
% Output : Refutation 1.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 11
% Syntax : Number of clauses : 19 ( 11 unt; 1 nHn; 17 RR)
% Number of literals : 36 ( 0 equ; 18 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 20 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,axiom,
( ~ relation(X)
| relation(relation_restriction(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_wellord1) ).
cnf(12,axiom,
( ~ relation(X)
| ~ reflexive(X)
| ~ in(Y,relation_field(X))
| in(ordered_pair(Y,Y),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l1_wellord1) ).
cnf(13,axiom,
( ~ relation(X)
| reflexive(X)
| in('SKOLEMAAAV2'(X),relation_field(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l1_wellord1) ).
cnf(14,axiom,
( ~ relation(X)
| reflexive(X)
| ~ in(ordered_pair('SKOLEMAAAV2'(X),'SKOLEMAAAV2'(X)),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l1_wellord1) ).
cnf(23,axiom,
( in(ordered_pair(X,Y),cartesian_product2(Z,U))
| ~ in(X,Z)
| ~ in(Y,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t106_zfmisc_1) ).
cnf(26,axiom,
( ~ relation(X)
| in(Y,relation_restriction(X,Z))
| ~ in(Y,X)
| ~ in(Y,cartesian_product2(Z,Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_wellord1) ).
cnf(27,axiom,
( ~ relation(X)
| ~ in(Y,relation_field(relation_restriction(X,Z)))
| in(Y,relation_field(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t19_wellord1) ).
cnf(28,axiom,
( ~ relation(X)
| ~ in(Y,relation_field(relation_restriction(X,Z)))
| in(Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t19_wellord1) ).
cnf(31,negated_conjecture,
relation('SKOLEMAAAV9'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t22_wellord1) ).
cnf(32,negated_conjecture,
reflexive('SKOLEMAAAV9'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t22_wellord1) ).
cnf(33,negated_conjecture,
~ reflexive(relation_restriction('SKOLEMAAAV9','SKOLEMAAAV8')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t22_wellord1) ).
cnf(43,plain,
relation(relation_restriction('SKOLEMAAAV9',X)),
inference('HYPERRESOLVE',[status(thm)],[5,31]) ).
cnf(74,plain,
in('SKOLEMAAAV2'(relation_restriction('SKOLEMAAAV9','SKOLEMAAAV8')),relation_field(relation_restriction('SKOLEMAAAV9','SKOLEMAAAV8'))),
inference('UR-RESOLVE',[status(thm)],[13,43,33]) ).
cnf(76,plain,
~ in(ordered_pair('SKOLEMAAAV2'(relation_restriction('SKOLEMAAAV9','SKOLEMAAAV8')),'SKOLEMAAAV2'(relation_restriction('SKOLEMAAAV9','SKOLEMAAAV8'))),relation_restriction('SKOLEMAAAV9','SKOLEMAAAV8')),
inference('UR-RESOLVE',[status(thm)],[14,43,33]) ).
cnf(358,plain,
in('SKOLEMAAAV2'(relation_restriction('SKOLEMAAAV9','SKOLEMAAAV8')),'SKOLEMAAAV8'),
inference('HYPERRESOLVE',[status(thm)],[28,74,31]) ).
cnf(359,plain,
in('SKOLEMAAAV2'(relation_restriction('SKOLEMAAAV9','SKOLEMAAAV8')),relation_field('SKOLEMAAAV9')),
inference('HYPERRESOLVE',[status(thm)],[27,74,31]) ).
cnf(382,plain,
in(ordered_pair('SKOLEMAAAV2'(relation_restriction('SKOLEMAAAV9','SKOLEMAAAV8')),'SKOLEMAAAV2'(relation_restriction('SKOLEMAAAV9','SKOLEMAAAV8'))),cartesian_product2('SKOLEMAAAV8','SKOLEMAAAV8')),
inference('HYPERRESOLVE',[status(thm)],[23,358,358]) ).
cnf(432,plain,
in(ordered_pair('SKOLEMAAAV2'(relation_restriction('SKOLEMAAAV9','SKOLEMAAAV8')),'SKOLEMAAAV2'(relation_restriction('SKOLEMAAAV9','SKOLEMAAAV8'))),'SKOLEMAAAV9'),
inference('HYPERRESOLVE',[status(thm)],[12,359,31,32]) ).
cnf(5409,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[26,432,31,76]),382]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU252+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n015.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 : Sat Jun 18 22:22:44 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-06-18T22:22:44
% 0.20/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-06-18T22:22:44
% 0.20/0.51
% 0.20/0.51 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.20/0.51 ; Recognized commutativity assertion (= (|set_union2| ?X ?Y) (|set_union2| ?Y ?X)).
% 0.20/0.51 ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.20/0.51 ; Recognized right identity assertion (= (|set_union2| ?X |empty_set|) ?X).
% 0.20/0.51 ; Declaring unordered_pair to be commutative.
% 0.20/0.51 ; Declaring set_union2 to be commutative.
% 0.20/0.51 WARNING:
% 0.20/0.51 |one_to_one| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.51 WARNING:
% 0.20/0.51 |function| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 1.65/1.84 ; Declaring set_intersection2 to be commutative.
% 1.65/1.84
% 1.65/1.84 #||
% 1.65/1.84 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.65/1.84 % SZS output start Refutation
% See solution above
% 1.65/1.84 ||#
% 1.65/1.84
% 1.65/1.84 ; Summary of computation:
% 1.65/1.84 ; 8769 formulas have been input or derived (from 367 formulas).
% 1.65/1.84 ; 5409 (62%) were retained. Of these,
% 1.65/1.84 ; 244 ( 5%) were simplified or subsumed later,
% 1.65/1.84 ; 5165 (95%) are still being kept.
% 1.65/1.84 ;
% 1.69/1.86 ; Run time in seconds excluding printing time:
% 1.69/1.86 ; 0.007 1% Read assertion file (1 call)
% 1.69/1.86 ; 0.001 0% Assert (45 calls)
% 1.69/1.86 ; 0.588 44% Process new row (7,887 calls)
% 1.69/1.86 ; 0.190 14% Resolution (732 calls)
% 1.69/1.86 ; 0.016 1% Paramodulation (366 calls)
% 1.69/1.86 ; 0.000 0% Factoring (24 calls)
% 1.69/1.86 ; 0.011 1% Condensing (1,587 calls)
% 1.69/1.86 ; 0.204 15% Forward subsumption (1,587 calls)
% 1.69/1.86 ; 0.056 4% Backward subsumption (1,553 calls)
% 1.69/1.86 ; 0.014 1% Clause clause subsumption (8,015 calls)
% 1.69/1.86 ; 0.118 9% Forward simplification (7,845 calls)
% 1.69/1.86 ; 0.078 6% Backward simplification (5,409 calls)
% 1.69/1.86 ; 0.003 0% Ordering (3,952 calls)
% 1.69/1.86 ; 0.000 0% Sortal reasoning (32 calls)
% 1.69/1.86 ; 0.001 0% Purity testing (1 call)
% 1.69/1.86 ; 0.061 5% Other
% 1.69/1.86 ; 1.348 Total
% 1.69/1.86 ; 1.371 Real time
% 1.69/1.86 ;
% 1.69/1.86 ; Term-hash-array has 12,875 terms in all.
% 1.69/1.86 ; Feature-vector-row-index has 1,549 entries (1,549 at peak, 1,553 added, 4 deleted).
% 1.69/1.86 ; Feature-vector-row-index has 7,984 nodes (7,984 at peak, 8,008 added, 24 deleted).
% 1.69/1.86 ; Retrieved 5,732 possibly forward subsuming rows in 1,587 calls.
% 1.69/1.86 ; Retrieved 2,325 possibly backward subsumed rows in 1,553 calls.
% 1.69/1.86 ; Path-index has 12,219 entries (12,219 at peak, 12,902 added, 683 deleted).
% 1.69/1.86 ; Path-index has 4,474 nodes (4,474 at peak, 4,654 added, 180 deleted).
% 1.69/1.86 ; Trie-index has 12,219 entries (12,219 at peak, 12,902 added, 683 deleted).
% 1.69/1.86 ; Trie-index has 48,163 nodes (48,163 at peak, 50,172 added, 2,009 deleted).
% 1.69/1.86 ; Retrieved 4,519 generalization terms in 27,068 calls.
% 1.69/1.86 ; Retrieved 3,904 instance terms in 3,855 calls.
% 1.69/1.86 ; Retrieved 256,183 unifiable terms in 9,262 calls.
% 1.69/1.86 ;
% 1.69/1.86 ; The agenda of rows to process has 175 entries:
% 1.69/1.86 ; 1 with value 22 10 with value 29 44 with value 33
% 1.69/1.86 ; 8 with value 26 20 with value 30 18 with value 34
% 1.69/1.86 ; 4 with value 27 20 with value 31 16 with value 35
% 1.69/1.86 ; 4 with value 28 20 with value 32 10 with value 36
% 1.69/1.86 ; The agenda of rows to give has 4837 entries:
% 1.69/1.86 ; 77 with value (4 19) 304 with value (4 27) 220 with value (4 35)
% 1.69/1.86 ; 129 with value (4 20) 428 with value (4 28) 80 with value (4 36)
% 1.69/1.86 ; 147 with value (4 21) 417 with value (4 29) 3 with value (4 38)
% 1.69/1.86 ; 160 with value (4 22) 442 with value (4 30) 6 with value (4 39)
% 1.69/1.86 ; 259 with value (4 23) 307 with value (4 31) 3 with value (4 41)
% 1.69/1.86 ; 418 with value (4 24) 189 with value (4 32) 3 with value (4 43)
% 1.69/1.86 ; 320 with value (4 25) 271 with value (4 33) 3 with value (4 48)
% 1.69/1.86 ; 336 with value (4 26) 315 with value (4 34)
% 1.69/1.86 Evaluation took:
% 1.69/1.86 1.373 seconds of real time
% 1.69/1.86 1.269297 seconds of user run time
% 1.69/1.86 0.103115 seconds of system run time
% 1.69/1.86 [Run times include 0.226 seconds GC run time.]
% 1.69/1.86 0 calls to %EVAL
% 1.69/1.86 0 page faults and
% 1.69/1.86 113,368,600 bytes consed.
% 1.69/1.86 :PROOF-FOUND
% 1.69/1.86 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T22:22:45
% 1.69/1.86 :PROOF-FOUND
% 1.69/1.86 *
%------------------------------------------------------------------------------