TSTP Solution File: SEU159+3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU159+3 : TPTP v8.1.0. Released v3.2.0.
% 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 14:19:39 EDT 2022
% Result : Theorem 7.81s 8.00s
% Output : Refutation 7.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of clauses : 18 ( 8 unt; 5 nHn; 16 RR)
% Number of literals : 33 ( 8 equ; 14 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 17 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( X != unordered_pair(Y,Z)
| ~ in(U,X)
| U = Y
| U = Z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_tarski) ).
cnf(3,axiom,
( X != unordered_pair(Y,Z)
| in(U,X)
| U != Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_tarski) ).
cnf(7,axiom,
( ~ subset(X,Y)
| ~ in(Z,X)
| in(Z,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
cnf(8,axiom,
( subset(X,Y)
| in('SKOLEMAAAW2'(X,Y),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
cnf(9,axiom,
( subset(X,Y)
| ~ in('SKOLEMAAAW2'(X,Y),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
cnf(13,negated_conjecture,
( ~ subset(unordered_pair('SKOLEMAAAW5','SKOLEMAAAW6'),'SKOLEMAAAW7')
| ~ in('SKOLEMAAAW5','SKOLEMAAAW7')
| ~ in('SKOLEMAAAW6','SKOLEMAAAW7') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t38_zfmisc_1) ).
cnf(14,negated_conjecture,
( subset(unordered_pair('SKOLEMAAAW5','SKOLEMAAAW6'),'SKOLEMAAAW7')
| in('SKOLEMAAAW5','SKOLEMAAAW7') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t38_zfmisc_1) ).
cnf(15,negated_conjecture,
( subset(unordered_pair('SKOLEMAAAW5','SKOLEMAAAW6'),'SKOLEMAAAW7')
| in('SKOLEMAAAW6','SKOLEMAAAW7') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t38_zfmisc_1) ).
cnf(16,plain,
in(X,unordered_pair(X,Y)),
inference('HYPERRESOLVE',[status(thm)],[3,theory(equality),theory(equality)]) ).
cnf(26,plain,
in('SKOLEMAAAW6','SKOLEMAAAW7'),
inference('HYPERRESOLVE',[status(thm)],[7,16,15]) ).
cnf(27,plain,
( ~ subset(unordered_pair('SKOLEMAAAW5','SKOLEMAAAW6'),'SKOLEMAAAW7')
| ~ in('SKOLEMAAAW5','SKOLEMAAAW7') ),
inference('REWRITE',[status(thm)],[13,26]) ).
cnf(28,plain,
in('SKOLEMAAAW5','SKOLEMAAAW7'),
inference('HYPERRESOLVE',[status(thm)],[7,16,14]) ).
cnf(29,plain,
~ subset(unordered_pair('SKOLEMAAAW5','SKOLEMAAAW6'),'SKOLEMAAAW7'),
inference('REWRITE',[status(thm)],[27,28]) ).
cnf(32,plain,
~ in('SKOLEMAAAW2'(unordered_pair('SKOLEMAAAW5','SKOLEMAAAW6'),'SKOLEMAAAW7'),'SKOLEMAAAW7'),
inference('UR-RESOLVE',[status(thm)],[9,29]) ).
cnf(33,plain,
in('SKOLEMAAAW2'(unordered_pair('SKOLEMAAAW5','SKOLEMAAAW6'),'SKOLEMAAAW7'),unordered_pair('SKOLEMAAAW5','SKOLEMAAAW6')),
inference('HYPERRESOLVE',[status(thm)],[29,8]) ).
cnf(87,plain,
( 'SKOLEMAAAW2'(unordered_pair('SKOLEMAAAW5','SKOLEMAAAW6'),'SKOLEMAAAW7') = 'SKOLEMAAAW5'
| 'SKOLEMAAAW2'(unordered_pair('SKOLEMAAAW5','SKOLEMAAAW6'),'SKOLEMAAAW7') = 'SKOLEMAAAW6' ),
inference('HYPERRESOLVE',[status(thm)],[2,33,theory(equality)]) ).
cnf(4867,plain,
'SKOLEMAAAW2'(unordered_pair('SKOLEMAAAW5','SKOLEMAAAW6'),'SKOLEMAAAW7') = 'SKOLEMAAAW5',
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[32,87,theory(equality)]),26]) ).
cnf(4868,plain,
$false,
inference('REWRITE',[status(thm)],[32,28,4867,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : SEU159+3 : TPTP v8.1.0. Released v3.2.0.
% 0.13/0.15 % Command : run-snark %s %d
% 0.14/0.36 % Computer : n015.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 : Sun Jun 19 01:04:44 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.22/0.50 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.51 *
% 0.22/0.51 *
% 0.22/0.51 #<PACKAGE "SNARK-USER">
% 0.22/0.51 *
% 0.22/0.51 SNARK-TPTP-OPTIONS
% 0.22/0.51 *
% 0.22/0.51 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.51 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.51 (USE-FACTORING :POS)
% 0.22/0.51 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.51 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.51 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.51 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.51 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.51 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.51 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.51 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.51 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.51 (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.51 *
% 0.22/0.51 "."
% 0.22/0.51 *
% 0.22/0.51 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T01:04:44
% 0.22/0.51 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-06-19T01:04:44
% 0.22/0.53
% 0.22/0.53 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 7.81/8.00 ; Declaring unordered_pair to be commutative.
% 7.81/8.00
% 7.81/8.00 #||
% 7.81/8.00 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.81/8.00 % SZS output start Refutation
% See solution above
% 7.81/8.01 ||#
% 7.81/8.01
% 7.81/8.01 ; Summary of computation:
% 7.81/8.01 ; 15148 formulas have been input or derived (from 235 formulas).
% 7.81/8.01 ; 4868 (32%) were retained. Of these,
% 7.81/8.01 ; 565 (12%) were simplified or subsumed later,
% 7.81/8.01 ; 4303 (88%) are still being kept.
% 7.81/8.01 ;
% 7.81/8.01 ; Run time in seconds excluding printing time:
% 7.81/8.01 ; 0.002 0% Read assertion file (1 call)
% 7.81/8.01 ; 0.000 0% Assert (8 calls)
% 7.81/8.01 ; 0.430 6% Process new row (14,419 calls)
% 7.81/8.01 ; 0.306 4% Resolution (468 calls)
% 7.81/8.01 ; 0.074 1% Paramodulation (234 calls)
% 7.81/8.01 ; 0.000 0% Factoring (9 calls)
% 7.81/8.01 ; 0.000 0% Condensing (52 calls)
% 7.81/8.01 ; 0.002 0% Forward subsumption (52 calls)
% 7.81/8.01 ; 0.003 0% Backward subsumption (42 calls)
% 7.81/8.01 ; 0.001 0% Clause clause subsumption (34 calls)
% 7.81/8.01 ; 3.985 53% Forward simplification (14,418 calls)
% 7.81/8.01 ; 2.604 35% Backward simplification (4,868 calls)
% 7.81/8.01 ; 0.003 0% Ordering (4,336 calls)
% 7.81/8.01 ; 0.000 0% Sortal reasoning (32 calls)
% 7.81/8.01 ; 0.000 0% Purity testing (1 call)
% 7.81/8.01 ; 0.080 1% Other
% 7.81/8.01 ; 7.490 Total
% 7.81/8.01 ; 7.492 Real time
% 7.81/8.01 ;
% 7.81/8.01 ; Term-hash-array has 9,778 terms in all.
% 7.81/8.01 ; Feature-vector-row-index has 32 entries (34 at peak, 42 added, 10 deleted).
% 7.81/8.01 ; Feature-vector-row-index has 190 nodes (219 at peak, 317 added, 127 deleted).
% 7.81/8.01 ; Retrieved 33 possibly forward subsuming rows in 52 calls.
% 7.81/8.01 ; Retrieved 6 possibly backward subsumed rows in 42 calls.
% 7.81/8.01 ; Path-index has 8,691 entries (9,480 at peak, 9,842 added, 1,151 deleted).
% 7.81/8.01 ; Path-index has 1,115 nodes (1,313 at peak, 1,326 added, 211 deleted).
% 7.81/8.01 ; Trie-index has 8,691 entries (9,480 at peak, 9,842 added, 1,151 deleted).
% 7.81/8.01 ; Trie-index has 30,307 nodes (34,649 at peak, 35,220 added, 4,913 deleted).
% 7.81/8.01 ; Retrieved 262,312 generalization terms in 17,802 calls.
% 7.81/8.01 ; Retrieved 287,834 instance terms in 4,825 calls.
% 7.81/8.01 ; Retrieved 319,585 unifiable terms in 5,690 calls.
% 7.81/8.01 ;
% 7.81/8.01 ; The agenda of backward simplifiable rows to process has 376 entries:
% 7.81/8.01 ; 376 with value 0
% 7.81/8.01 ; The agenda of rows to process has 20 entries:
% 7.81/8.01 ; 4 with value 20 7 with value 24 2 with value 26
% 7.81/8.01 ; 1 with value 21 1 with value 25 4 with value 27
% 7.81/8.01 ; 1 with value 23
% 7.81/8.01 ; The agenda of rows to give has 4087 entries:
% 7.81/8.01 ; 1 with value (4 13) 162 with value (4 35) 13 with value (4 49)
% 7.81/8.01 ; 126 with value (4 22) 140 with value (4 36) 8 with value (4 50)
% 7.81/8.01 ; 106 with value (4 23) 143 with value (4 37) 7 with value (4 52)
% 7.81/8.01 ; 188 with value (4 24) 97 with value (4 38) 3 with value (4 53)
% 7.81/8.01 ; 231 with value (4 25) 65 with value (4 39) 8 with value (4 54)
% 7.81/8.01 ; 123 with value (4 26) 58 with value (4 40) 4 with value (4 55)
% 7.81/8.01 ; 363 with value (4 27) 73 with value (4 41) 4 with value (4 56)
% 7.81/8.01 ; 241 with value (4 28) 22 with value (4 42) 3 with value (4 57)
% 7.81/8.01 ; 333 with value (4 29) 52 with value (4 43) 2 with value (4 58)
% 7.81/8.01 ; 342 with value (4 30) 12 with value (4 44) 2 with value (4 60)
% 7.81/8.01 ; 285 with value (4 31) 24 with value (4 45) 1 with value (4 64)
% 7.81/8.01 ; 299 with value (4 32) 6 with value (4 46) 2 with value (4 68)
% 7.81/8.01 ; 239 with value (4 33) 23 with value (4 47) 3 with value (4 69)
% 7.81/8.01 ; 269 with value (4 34) 4 with value (4 48)
% 7.81/8.01 Evaluation took:
% 7.81/8.01 7.494 seconds of real time
% 7.81/8.01 7.347693 seconds of user run time
% 7.81/8.01 0.144809 seconds of system run time
% 7.81/8.01 [Run times include 0.374 seconds GC run time.]
% 7.81/8.01 0 calls to %EVAL
% 7.81/8.01 0 page faults and
% 7.81/8.01 541,243,840 bytes consed.
% 7.81/8.01 :PROOF-FOUND
% 7.81/8.01 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T01:04:51
% 7.81/8.01 :PROOF-FOUND
% 7.81/8.01 *
%------------------------------------------------------------------------------