TSTP Solution File: SEU250+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU250+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n013.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 14:20:37 EDT 2022
% Result : Theorem 16.19s 16.39s
% Output : Refutation 16.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of clauses : 18 ( 8 unt; 4 nHn; 12 RR)
% Number of literals : 30 ( 0 equ; 12 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 22 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
( subset(X,Y)
| in('SKOLEMAAAW1'(X,Y),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
cnf(4,axiom,
( subset(X,Y)
| ~ in('SKOLEMAAAW1'(X,Y),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
cnf(20,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(21,axiom,
( ~ relation(X)
| ~ in(Y,relation_field(relation_restriction(X,Z)))
| in(Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t19_wellord1) ).
cnf(24,negated_conjecture,
relation('SKOLEMAAAW9'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t20_wellord1) ).
cnf(25,negated_conjecture,
( ~ subset(relation_field(relation_restriction('SKOLEMAAAW9','SKOLEMAAAW8')),relation_field('SKOLEMAAAW9'))
| ~ subset(relation_field(relation_restriction('SKOLEMAAAW9','SKOLEMAAAW8')),'SKOLEMAAAW8') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t20_wellord1) ).
cnf(28,axiom,
( ~ element(X,powerset(Y))
| subset(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
cnf(29,axiom,
( element(X,powerset(Y))
| ~ subset(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
cnf(46,plain,
( in('SKOLEMAAAW1'(X,Y),X)
| element(X,powerset(Y)) ),
inference('HYPERRESOLVE',[status(thm)],[29,3]) ).
cnf(273,plain,
( element(relation_field(relation_restriction('SKOLEMAAAW9',X)),powerset(Y))
| in('SKOLEMAAAW1'(relation_field(relation_restriction('SKOLEMAAAW9',X)),Y),X) ),
inference('HYPERRESOLVE',[status(thm)],[21,46,24]) ).
cnf(12988,plain,
( element(relation_field(relation_restriction('SKOLEMAAAW9',X)),powerset(X))
| subset(relation_field(relation_restriction('SKOLEMAAAW9',X)),X) ),
inference('HYPERRESOLVE',[status(thm)],[4,273]) ).
cnf(13323,plain,
element(relation_field(relation_restriction('SKOLEMAAAW9',X)),powerset(X)),
inference('HYPERRESOLVE',[status(thm)],[29,12988]) ).
cnf(13324,plain,
subset(relation_field(relation_restriction('SKOLEMAAAW9',X)),X),
inference('HYPERRESOLVE',[status(thm)],[28,13323]) ).
cnf(13325,plain,
~ subset(relation_field(relation_restriction('SKOLEMAAAW9','SKOLEMAAAW8')),relation_field('SKOLEMAAAW9')),
inference('REWRITE',[status(thm)],[25,13324]) ).
cnf(13526,plain,
~ in('SKOLEMAAAW1'(relation_field(relation_restriction('SKOLEMAAAW9','SKOLEMAAAW8')),relation_field('SKOLEMAAAW9')),relation_field('SKOLEMAAAW9')),
inference('UR-RESOLVE',[status(thm)],[4,13325]) ).
cnf(13527,plain,
in('SKOLEMAAAW1'(relation_field(relation_restriction('SKOLEMAAAW9','SKOLEMAAAW8')),relation_field('SKOLEMAAAW9')),relation_field(relation_restriction('SKOLEMAAAW9','SKOLEMAAAW8'))),
inference('HYPERRESOLVE',[status(thm)],[13325,3]) ).
cnf(13553,plain,
~ in('SKOLEMAAAW1'(relation_field(relation_restriction('SKOLEMAAAW9','SKOLEMAAAW8')),relation_field('SKOLEMAAAW9')),relation_field(relation_restriction('SKOLEMAAAW9',X))),
inference('UR-RESOLVE',[status(thm)],[20,13526,24]) ).
cnf(13554,plain,
$false,
inference('REWRITE',[status(thm)],[13527,13553]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SEU250+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n013.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 11:43:59 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.22/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.48 *
% 0.22/0.48 *
% 0.22/0.48 #<PACKAGE "SNARK-USER">
% 0.22/0.48 *
% 0.22/0.48 SNARK-TPTP-OPTIONS
% 0.22/0.48 *
% 0.22/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.48 (USE-FACTORING :POS)
% 0.22/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.49 *
% 0.22/0.49 "."
% 0.22/0.49 *
% 0.22/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-20T11:43:59
% 0.22/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-06-20T11:43:59
% 0.22/0.50
% 0.22/0.50 ; Recognized commutativity assertion (= (|set_union2| ?X ?Y) (|set_union2| ?Y ?X)).
% 0.22/0.50 ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.22/0.50 ; Recognized right identity assertion (= (|set_union2| ?X |empty_set|) ?X).
% 0.22/0.50 ; Declaring set_union2 to be commutative.
% 0.22/0.50 WARNING:
% 0.22/0.50 |one_to_one| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.22/0.51 WARNING:
% 0.22/0.51 |function| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 16.19/16.39 ; Declaring set_intersection2 to be commutative.
% 16.19/16.39
% 16.19/16.39 #||
% 16.19/16.39 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.19/16.39 % SZS output start Refutation
% See solution above
% 16.19/16.39 ||#
% 16.19/16.39
% 16.19/16.39 ; Summary of computation:
% 16.19/16.39 ; 39758 formulas have been input or derived (from 601 formulas).
% 16.19/16.39 ; 13554 (34%) were retained. Of these,
% 16.19/16.39 ; 1083 ( 8%) were simplified or subsumed later,
% 16.19/16.39 ; 12471 (92%) are still being kept.
% 16.19/16.39 ;
% 16.19/16.39 ; Run time in seconds excluding printing time:
% 16.19/16.39 ; 0.006 0% Read assertion file (1 call)
% 16.19/16.39 ; 0.002 0% Assert (42 calls)
% 16.19/16.39 ; 1.591 10% Process new row (36,658 calls)
% 16.19/16.39 ; 1.800 11% Resolution (1,200 calls)
% 16.19/16.39 ; 0.068 0% Paramodulation (600 calls)
% 16.19/16.39 ; 0.001 0% Factoring (140 calls)
% 16.19/16.39 ; 0.136 1% Condensing (17,341 calls)
% 16.19/16.39 ; 9.385 59% Forward subsumption (17,341 calls)
% 16.19/16.39 ; 0.978 6% Backward subsumption (7,668 calls)
% 16.19/16.39 ; 0.621 4% Clause clause subsumption (255,363 calls)
% 16.19/16.39 ; 0.782 5% Forward simplification (28,275 calls)
% 16.19/16.39 ; 0.197 1% Backward simplification (13,554 calls)
% 16.19/16.39 ; 0.144 1% Ordering (40,625 calls)
% 16.19/16.39 ; 0.000 0% Sortal reasoning (32 calls)
% 16.19/16.39 ; 0.000 0% Purity testing (1 call)
% 16.19/16.39 ; 0.192 1% Other
% 16.19/16.39 ; 15.903 Total
% 16.19/16.39 ; 15.905 Real time
% 16.19/16.39 ;
% 16.19/16.40 ; Term-hash-array has 25,234 terms in all.
% 16.19/16.40 ; Feature-vector-row-index has 7,539 entries (7,539 at peak, 7,668 added, 129 deleted).
% 16.19/16.40 ; Feature-vector-row-index has 86,542 nodes (86,542 at peak, 87,592 added, 1,050 deleted).
% 16.19/16.40 ; Retrieved 414,048 possibly forward subsuming rows in 17,341 calls.
% 16.19/16.40 ; Retrieved 41,612 possibly backward subsumed rows in 7,668 calls.
% 16.19/16.40 ; Path-index has 22,824 entries (22,825 at peak, 25,352 added, 2,528 deleted).
% 16.19/16.40 ; Path-index has 10,960 nodes (10,960 at peak, 11,353 added, 393 deleted).
% 16.19/16.40 ; Trie-index has 22,824 entries (22,825 at peak, 25,352 added, 2,528 deleted).
% 16.19/16.40 ; Trie-index has 70,431 nodes (70,432 at peak, 78,811 added, 8,380 deleted).
% 16.19/16.40 ; Retrieved 21,842 generalization terms in 179,020 calls.
% 16.19/16.40 ; Retrieved 6,129 instance terms in 5,885 calls.
% 16.19/16.40 ; Retrieved 1,297,408 unifiable terms in 18,372 calls.
% 16.19/16.40 ;
% 16.19/16.40 ; The agenda of rows to process has 24 entries:
% 16.19/16.40 ; 5 with value 19 3 with value 25 3 with value 33
% 16.19/16.40 ; 1 with value 20 3 with value 29 3 with value 37
% 16.19/16.40 ; 3 with value 21 1 with value 31 1 with value 45
% 16.19/16.40 ; 1 with value 23
% 16.19/16.40 ; The agenda of rows to give has 11944 entries:
% 16.19/16.40 ; 1 with value (4 16) 253 with value (4 40) 49 with value (4 63)
% 16.19/16.40 ; 1 with value (4 17) 157 with value (4 41) 25 with value (4 64)
% 16.19/16.40 ; 3 with value (4 18) 168 with value (4 42) 21 with value (4 65)
% 16.19/16.40 ; 3 with value (4 19) 125 with value (4 43) 29 with value (4 66)
% 16.19/16.40 ; 1 with value (4 20) 183 with value (4 44) 25 with value (4 67)
% 16.19/16.40 ; 4 with value (4 21) 126 with value (4 45) 18 with value (4 68)
% 16.19/16.40 ; 3 with value (4 23) 158 with value (4 46) 28 with value (4 69)
% 16.19/16.40 ; 159 with value (4 24) 180 with value (4 47) 6 with value (4 70)
% 16.19/16.40 ; 205 with value (4 25) 193 with value (4 48) 12 with value (4 71)
% 16.19/16.40 ; 300 with value (4 26) 223 with value (4 49) 18 with value (4 72)
% 16.19/16.40 ; 420 with value (4 27) 211 with value (4 50) 6 with value (4 73)
% 16.19/16.40 ; 476 with value (4 28) 267 with value (4 51) 3 with value (4 74)
% 16.19/16.40 ; 543 with value (4 29) 243 with value (4 52) 9 with value (4 75)
% 16.19/16.40 ; 407 with value (4 30) 230 with value (4 53) 9 with value (4 76)
% 16.19/16.40 ; 610 with value (4 31) 261 with value (4 54) 3 with value (4 77)
% 16.19/16.40 ; 496 with value (4 32) 283 with value (4 55) 3 with value (4 79)
% 16.19/16.40 ; 634 with value (4 33) 263 with value (4 56) 3 with value (4 81)
% 16.19/16.40 ; 528 with value (4 34) 233 with value (4 57) 9 with value (4 82)
% 16.19/16.40 ; 588 with value (4 35) 203 with value (4 58) 12 with value (4 84)
% 16.19/16.40 ; 445 with value (4 36) 178 with value (4 59) 6 with value (4 85)
% 16.19/16.40 ; 491 with value (4 37) 176 with value (4 60) 6 with value (4 93)
% 16.19/16.40 ; 400 with value (4 38) 137 with value (4 61) 3 with value (4 95)
% 16.19/16.40 ; 378 with value (4 39) 88 with value (4 62) 6 with value (4 96)
% 16.19/16.40 Evaluation took:
% 16.19/16.40 15.915 seconds of real time
% 16.19/16.40 14.969298 seconds of user run time
% 16.19/16.40 0.94692 seconds of system run time
% 16.19/16.40 [Run times include 2.455 seconds GC run time.]
% 16.19/16.40 0 calls to %EVAL
% 16.19/16.40 0 page faults and
% 16.19/16.40 1,634,204,480 bytes consed.
% 16.19/16.40 :PROOF-FOUND
% 16.19/16.40 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-20T11:44:15
% 16.19/16.40 :PROOF-FOUND
% 16.19/16.40 *
%------------------------------------------------------------------------------