TSTP Solution File: SEU254+1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU254+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n025.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 14:20:39 EDT 2022
% Result : Theorem 1.31s 1.48s
% Output : Refutation 1.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 14
% Syntax : Number of clauses : 27 ( 16 unt; 2 nHn; 25 RR)
% Number of literals : 49 ( 0 equ; 23 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 31 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(4,axiom,
( ~ relation(X)
| relation(relation_restriction(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_wellord1) ).
cnf(9,axiom,
( ~ relation(X)
| ~ transitive(X)
| ~ in(ordered_pair(Y,Z),X)
| ~ in(ordered_pair(Z,U),X)
| in(ordered_pair(Y,U),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l2_wellord1) ).
cnf(10,axiom,
( ~ relation(X)
| transitive(X)
| in(ordered_pair('SKOLEMAAAV2'(X),'SKOLEMAAAV3'(X)),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l2_wellord1) ).
cnf(11,axiom,
( ~ relation(X)
| transitive(X)
| in(ordered_pair('SKOLEMAAAV3'(X),'SKOLEMAAAV4'(X)),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l2_wellord1) ).
cnf(12,axiom,
( ~ relation(X)
| transitive(X)
| ~ in(ordered_pair('SKOLEMAAAV2'(X),'SKOLEMAAAV4'(X)),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l2_wellord1) ).
cnf(19,axiom,
( ~ in(ordered_pair(X,Y),cartesian_product2(Z,U))
| in(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t106_zfmisc_1) ).
cnf(20,axiom,
( ~ in(ordered_pair(X,Y),cartesian_product2(Z,U))
| in(Y,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t106_zfmisc_1) ).
cnf(21,axiom,
( in(ordered_pair(X,Y),cartesian_product2(Z,U))
| ~ in(X,Z)
| ~ in(Y,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t106_zfmisc_1) ).
cnf(22,axiom,
( ~ relation(X)
| ~ in(Y,relation_restriction(X,Z))
| in(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_wellord1) ).
cnf(23,axiom,
( ~ relation(X)
| ~ in(Y,relation_restriction(X,Z))
| in(Y,cartesian_product2(Z,Z)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_wellord1) ).
cnf(24,axiom,
( ~ relation(X)
| in(Y,relation_restriction(X,Z))
| ~ in(Y,X)
| ~ in(Y,cartesian_product2(Z,Z)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_wellord1) ).
cnf(26,negated_conjecture,
relation('SKOLEMAAAV11'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_wellord1) ).
cnf(27,negated_conjecture,
transitive('SKOLEMAAAV11'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_wellord1) ).
cnf(28,negated_conjecture,
~ transitive(relation_restriction('SKOLEMAAAV11','SKOLEMAAAV10')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_wellord1) ).
cnf(38,plain,
relation(relation_restriction('SKOLEMAAAV11',X)),
inference('HYPERRESOLVE',[status(thm)],[4,26]) ).
cnf(60,plain,
~ in(ordered_pair('SKOLEMAAAV2'(relation_restriction('SKOLEMAAAV11','SKOLEMAAAV10')),'SKOLEMAAAV4'(relation_restriction('SKOLEMAAAV11','SKOLEMAAAV10'))),relation_restriction('SKOLEMAAAV11','SKOLEMAAAV10')),
inference('UR-RESOLVE',[status(thm)],[12,38,28]) ).
cnf(61,plain,
in(ordered_pair('SKOLEMAAAV3'(relation_restriction('SKOLEMAAAV11','SKOLEMAAAV10')),'SKOLEMAAAV4'(relation_restriction('SKOLEMAAAV11','SKOLEMAAAV10'))),relation_restriction('SKOLEMAAAV11','SKOLEMAAAV10')),
inference('UR-RESOLVE',[status(thm)],[11,38,28]) ).
cnf(62,plain,
in(ordered_pair('SKOLEMAAAV2'(relation_restriction('SKOLEMAAAV11','SKOLEMAAAV10')),'SKOLEMAAAV3'(relation_restriction('SKOLEMAAAV11','SKOLEMAAAV10'))),relation_restriction('SKOLEMAAAV11','SKOLEMAAAV10')),
inference('UR-RESOLVE',[status(thm)],[10,38,28]) ).
cnf(655,plain,
in(ordered_pair('SKOLEMAAAV3'(relation_restriction('SKOLEMAAAV11','SKOLEMAAAV10')),'SKOLEMAAAV4'(relation_restriction('SKOLEMAAAV11','SKOLEMAAAV10'))),'SKOLEMAAAV11'),
inference('HYPERRESOLVE',[status(thm)],[22,61,26]) ).
cnf(656,plain,
in(ordered_pair('SKOLEMAAAV3'(relation_restriction('SKOLEMAAAV11','SKOLEMAAAV10')),'SKOLEMAAAV4'(relation_restriction('SKOLEMAAAV11','SKOLEMAAAV10'))),cartesian_product2('SKOLEMAAAV10','SKOLEMAAAV10')),
inference('HYPERRESOLVE',[status(thm)],[23,61,26]) ).
cnf(1038,plain,
in(ordered_pair('SKOLEMAAAV2'(relation_restriction('SKOLEMAAAV11','SKOLEMAAAV10')),'SKOLEMAAAV3'(relation_restriction('SKOLEMAAAV11','SKOLEMAAAV10'))),'SKOLEMAAAV11'),
inference('HYPERRESOLVE',[status(thm)],[22,62,26]) ).
cnf(1039,plain,
in(ordered_pair('SKOLEMAAAV2'(relation_restriction('SKOLEMAAAV11','SKOLEMAAAV10')),'SKOLEMAAAV3'(relation_restriction('SKOLEMAAAV11','SKOLEMAAAV10'))),cartesian_product2('SKOLEMAAAV10','SKOLEMAAAV10')),
inference('HYPERRESOLVE',[status(thm)],[23,62,26]) ).
cnf(1090,plain,
in(ordered_pair('SKOLEMAAAV2'(relation_restriction('SKOLEMAAAV11','SKOLEMAAAV10')),'SKOLEMAAAV4'(relation_restriction('SKOLEMAAAV11','SKOLEMAAAV10'))),'SKOLEMAAAV11'),
inference('HYPERRESOLVE',[status(thm)],[9,1038,26,27,655]) ).
cnf(1929,plain,
~ in(ordered_pair('SKOLEMAAAV2'(relation_restriction('SKOLEMAAAV11','SKOLEMAAAV10')),'SKOLEMAAAV4'(relation_restriction('SKOLEMAAAV11','SKOLEMAAAV10'))),cartesian_product2('SKOLEMAAAV10','SKOLEMAAAV10')),
inference('UR-RESOLVE',[status(thm)],[24,1090,26,60]) ).
cnf(2370,plain,
in('SKOLEMAAAV4'(relation_restriction('SKOLEMAAAV11','SKOLEMAAAV10')),'SKOLEMAAAV10'),
inference('HYPERRESOLVE',[status(thm)],[20,656]) ).
cnf(3886,plain,
in('SKOLEMAAAV2'(relation_restriction('SKOLEMAAAV11','SKOLEMAAAV10')),'SKOLEMAAAV10'),
inference('HYPERRESOLVE',[status(thm)],[19,1039]) ).
cnf(4001,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[21,3886,2370]),1929]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SEU254+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 20 00:26:44 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-20T00:26:44
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-20T00:26:44
% 0.19/0.48
% 0.19/0.48 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.19/0.48 ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.19/0.48 ; Declaring unordered_pair to be commutative.
% 0.19/0.48 WARNING:
% 0.19/0.48 |one_to_one| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.48 WARNING:
% 0.19/0.48 |function| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 1.31/1.48 ; Declaring set_intersection2 to be commutative.
% 1.31/1.48
% 1.31/1.48 #||
% 1.31/1.48 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.31/1.48 % SZS output start Refutation
% See solution above
% 1.31/1.48 ||#
% 1.31/1.48
% 1.31/1.48 ; Summary of computation:
% 1.31/1.48 ; 7582 formulas have been input or derived (from 306 formulas).
% 1.31/1.48 ; 4001 (53%) were retained. Of these,
% 1.31/1.48 ; 4 ( 0%) were simplified or subsumed later,
% 1.31/1.48 ; 3997 (100%) are still being kept.
% 1.31/1.48 ;
% 1.31/1.48 ; Run time in seconds excluding printing time:
% 1.31/1.48 ; 0.005 0% Read assertion file (1 call)
% 1.31/1.48 ; 0.000 0% Assert (34 calls)
% 1.31/1.48 ; 0.381 37% Process new row (6,841 calls)
% 1.31/1.48 ; 0.210 21% Resolution (610 calls)
% 1.31/1.48 ; 0.008 1% Paramodulation (305 calls)
% 1.31/1.48 ; 0.000 0% Factoring (25 calls)
% 1.31/1.48 ; 0.023 2% Condensing (1,493 calls)
% 1.31/1.48 ; 0.152 15% Forward subsumption (1,493 calls)
% 1.31/1.48 ; 0.062 6% Backward subsumption (1,460 calls)
% 1.31/1.48 ; 0.019 2% Clause clause subsumption (10,524 calls)
% 1.31/1.48 ; 0.083 8% Forward simplification (6,833 calls)
% 1.31/1.48 ; 0.029 3% Backward simplification (4,001 calls)
% 1.31/1.48 ; 0.003 0% Ordering (4,136 calls)
% 1.31/1.48 ; 0.001 0% Sortal reasoning (32 calls)
% 1.31/1.48 ; 0.001 0% Purity testing (1 call)
% 1.31/1.48 ; 0.043 4% Other
% 1.31/1.48 ; 1.020 Total
% 1.31/1.48 ; 1.023 Real time
% 1.31/1.48 ;
% 1.31/1.48 ; Term-hash-array has 7,592 terms in all.
% 1.31/1.48 ; Feature-vector-row-index has 1,460 entries (1,460 at peak, 1,460 added, 0 deleted).
% 1.31/1.48 ; Feature-vector-row-index has 7,197 nodes (7,197 at peak, 7,197 added, 0 deleted).
% 1.31/1.48 ; Retrieved 6,836 possibly forward subsuming rows in 1,493 calls.
% 1.31/1.48 ; Retrieved 3,723 possibly backward subsumed rows in 1,460 calls.
% 1.31/1.48 ; Path-index has 7,596 entries (7,596 at peak, 7,600 added, 4 deleted).
% 1.31/1.48 ; Path-index has 3,064 nodes (3,064 at peak, 3,068 added, 4 deleted).
% 1.31/1.48 ; Trie-index has 7,596 entries (7,596 at peak, 7,600 added, 4 deleted).
% 1.31/1.48 ; Trie-index has 33,104 nodes (33,104 at peak, 33,109 added, 5 deleted).
% 1.31/1.48 ; Retrieved 2,862 generalization terms in 14,403 calls.
% 1.31/1.48 ; Retrieved 2,541 instance terms in 2,540 calls.
% 1.31/1.48 ; Retrieved 298,149 unifiable terms in 8,071 calls.
% 1.31/1.48 ;
% 1.31/1.48 ; The agenda of rows to process has 179 entries:
% 1.31/1.48 ; 21 with value 22 8 with value 26 8 with value 29
% 1.31/1.48 ; 2 with value 23 32 with value 27 30 with value 30
% 1.31/1.48 ; 12 with value 24 56 with value 28 2 with value 31
% 1.31/1.48 ; 8 with value 25
% 1.31/1.48 ; The agenda of rows to give has 3694 entries:
% 1.31/1.48 ; 2 with value (4 14) 235 with value (4 28) 56 with value (4 37)
% 1.31/1.48 ; 59 with value (4 20) 203 with value (4 29) 15 with value (4 38)
% 1.31/1.48 ; 91 with value (4 21) 408 with value (4 30) 3 with value (4 39)
% 1.31/1.48 ; 81 with value (4 22) 325 with value (4 31) 3 with value (4 43)
% 1.31/1.48 ; 106 with value (4 23) 232 with value (4 32) 3 with value (4 46)
% 1.31/1.48 ; 155 with value (4 24) 271 with value (4 33) 6 with value (4 47)
% 1.31/1.48 ; 256 with value (4 25) 369 with value (4 34) 3 with value (4 52)
% 1.31/1.48 ; 171 with value (4 26) 251 with value (4 35) 6 with value (4 58)
% 1.31/1.48 ; 127 with value (4 27) 257 with value (4 36)
% 1.31/1.48 Evaluation took:
% 1.31/1.48 1.024 seconds of real time
% 1.31/1.48 0.91664 seconds of user run time
% 1.31/1.48 0.106992 seconds of system run time
% 1.31/1.48 [Run times include 0.108 seconds GC run time.]
% 1.31/1.48 0 calls to %EVAL
% 1.31/1.48 0 page faults and
% 1.31/1.48 85,133,416 bytes consed.
% 1.31/1.48 :PROOF-FOUND
% 1.31/1.48 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-20T00:26:45
% 1.31/1.48 :PROOF-FOUND
% 1.31/1.48 *
%------------------------------------------------------------------------------