TSTP Solution File: SET577+3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET577+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n019.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 05:10:28 EDT 2022
% Result : Theorem 121.51s 121.77s
% Output : Refutation 121.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 11
% Syntax : Number of clauses : 32 ( 10 unt; 16 nHn; 21 RR)
% Number of literals : 68 ( 9 equ; 12 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 37 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ member(X,union(Y,Z))
| member(X,Y)
| member(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_defn) ).
cnf(2,axiom,
( member(X,union(Y,Z))
| ~ member(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_defn) ).
cnf(5,axiom,
( ~ subset(X,Y)
| ~ member(Z,X)
| member(Z,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_defn) ).
cnf(6,axiom,
( subset(X,Y)
| member('SKOLEMAAAV1'(X,Y),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_defn) ).
cnf(7,axiom,
( subset(X,Y)
| ~ member('SKOLEMAAAV1'(X,Y),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_defn) ).
cnf(10,axiom,
( X = Y
| ~ member('SKOLEMAAAV2'(X,Y),X)
| ~ member('SKOLEMAAAV2'(X,Y),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_member_defn) ).
cnf(11,axiom,
( X = Y
| member('SKOLEMAAAV2'(X,Y),X)
| member('SKOLEMAAAV2'(X,Y),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_member_defn) ).
cnf(12,negated_conjecture,
( ~ member(X,'SKOLEMAAAV3')
| member(X,'SKOLEMAAAV4')
| member(X,'SKOLEMAAAV5') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th18) ).
cnf(13,negated_conjecture,
( member(X,'SKOLEMAAAV3')
| ~ member(X,'SKOLEMAAAV4') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th18) ).
cnf(14,negated_conjecture,
( member(X,'SKOLEMAAAV3')
| ~ member(X,'SKOLEMAAAV5') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th18) ).
cnf(15,negated_conjecture,
'SKOLEMAAAV3' != union('SKOLEMAAAV4','SKOLEMAAAV5'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th18) ).
cnf(21,plain,
( X = Y
| member('SKOLEMAAAV2'(X,Y),Y)
| member('SKOLEMAAAV2'(X,Y),union(X,Z)) ),
inference('HYPERRESOLVE',[status(thm)],[2,11]) ).
cnf(24,plain,
( 'SKOLEMAAAV3' = X
| member('SKOLEMAAAV2'('SKOLEMAAAV3',X),X)
| member('SKOLEMAAAV2'('SKOLEMAAAV3',X),'SKOLEMAAAV4')
| member('SKOLEMAAAV2'('SKOLEMAAAV3',X),'SKOLEMAAAV5') ),
inference('HYPERRESOLVE',[status(thm)],[12,11]) ).
cnf(25,plain,
( X = Y
| member('SKOLEMAAAV2'(X,Y),X)
| member('SKOLEMAAAV1'(Y,Z),Y)
| member('SKOLEMAAAV2'(X,Y),Z) ),
inference('HYPERRESOLVE',[status(thm)],[5,11,6]) ).
cnf(142,plain,
( X = Y
| member('SKOLEMAAAV2'(X,Y),union(X,Z))
| member('SKOLEMAAAV2'(X,Y),union(Y,U)) ),
inference('HYPERRESOLVE',[status(thm)],[2,21]) ).
cnf(371,plain,
member('SKOLEMAAAV2'('SKOLEMAAAV3',union('SKOLEMAAAV4','SKOLEMAAAV5')),union('SKOLEMAAAV3',union('SKOLEMAAAV4','SKOLEMAAAV5'))),
inference('UR-RESOLVE',[status(thm)],[142,15]) ).
cnf(381,plain,
( member('SKOLEMAAAV2'('SKOLEMAAAV3',union('SKOLEMAAAV4','SKOLEMAAAV5')),'SKOLEMAAAV3')
| member('SKOLEMAAAV2'('SKOLEMAAAV3',union('SKOLEMAAAV4','SKOLEMAAAV5')),union('SKOLEMAAAV4','SKOLEMAAAV5')) ),
inference('HYPERRESOLVE',[status(thm)],[1,371]) ).
cnf(658,plain,
( 'SKOLEMAAAV3' = X
| member('SKOLEMAAAV2'('SKOLEMAAAV3',X),X)
| member('SKOLEMAAAV2'('SKOLEMAAAV3',X),'SKOLEMAAAV4')
| member('SKOLEMAAAV2'('SKOLEMAAAV3',X),union('SKOLEMAAAV5',Y)) ),
inference('HYPERRESOLVE',[status(thm)],[2,24]) ).
cnf(662,plain,
( X = Y
| member('SKOLEMAAAV1'(Y,X),Y)
| member('SKOLEMAAAV2'(X,Y),X) ),
inference('HYPERRESOLVE',[status(thm)],[10,25,11]) ).
cnf(835,plain,
( member('SKOLEMAAAV2'('SKOLEMAAAV3',union('SKOLEMAAAV4','SKOLEMAAAV5')),'SKOLEMAAAV3')
| member('SKOLEMAAAV1'(union('SKOLEMAAAV4','SKOLEMAAAV5'),'SKOLEMAAAV3'),union('SKOLEMAAAV4','SKOLEMAAAV5')) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[10,381,662]),15]) ).
cnf(3552,plain,
( member('SKOLEMAAAV2'('SKOLEMAAAV3',union('SKOLEMAAAV4','SKOLEMAAAV5')),'SKOLEMAAAV4')
| member('SKOLEMAAAV1'(union('SKOLEMAAAV4','SKOLEMAAAV5'),'SKOLEMAAAV3'),union('SKOLEMAAAV4','SKOLEMAAAV5')) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[10,658,835]),15]) ).
cnf(3568,plain,
( member('SKOLEMAAAV1'(union('SKOLEMAAAV4','SKOLEMAAAV5'),'SKOLEMAAAV3'),union('SKOLEMAAAV4','SKOLEMAAAV5'))
| member('SKOLEMAAAV2'('SKOLEMAAAV3',union('SKOLEMAAAV4','SKOLEMAAAV5')),union('SKOLEMAAAV4',X)) ),
inference('HYPERRESOLVE',[status(thm)],[2,3552]) ).
cnf(12484,plain,
member('SKOLEMAAAV1'(union('SKOLEMAAAV4','SKOLEMAAAV5'),'SKOLEMAAAV3'),union('SKOLEMAAAV4','SKOLEMAAAV5')),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[10,3568,835]),15]) ).
cnf(12486,plain,
( member('SKOLEMAAAV1'(union('SKOLEMAAAV4','SKOLEMAAAV5'),'SKOLEMAAAV3'),'SKOLEMAAAV4')
| member('SKOLEMAAAV1'(union('SKOLEMAAAV4','SKOLEMAAAV5'),'SKOLEMAAAV3'),'SKOLEMAAAV5') ),
inference('HYPERRESOLVE',[status(thm)],[1,12484]) ).
cnf(12497,plain,
( member('SKOLEMAAAV1'(union('SKOLEMAAAV4','SKOLEMAAAV5'),'SKOLEMAAAV3'),'SKOLEMAAAV4')
| member('SKOLEMAAAV1'(union('SKOLEMAAAV4','SKOLEMAAAV5'),'SKOLEMAAAV3'),'SKOLEMAAAV3') ),
inference('HYPERRESOLVE',[status(thm)],[14,12486]) ).
cnf(12503,plain,
member('SKOLEMAAAV1'(union('SKOLEMAAAV4','SKOLEMAAAV5'),'SKOLEMAAAV3'),'SKOLEMAAAV3'),
inference('HYPERRESOLVE',[status(thm)],[13,12497]) ).
cnf(12504,plain,
subset(union('SKOLEMAAAV4','SKOLEMAAAV5'),'SKOLEMAAAV3'),
inference('HYPERRESOLVE',[status(thm)],[7,12503]) ).
cnf(12509,plain,
member('SKOLEMAAAV2'('SKOLEMAAAV3',union('SKOLEMAAAV4','SKOLEMAAAV5')),'SKOLEMAAAV3'),
inference('HYPERRESOLVE',[status(thm)],[5,12504,381]) ).
cnf(12663,plain,
~ member('SKOLEMAAAV2'('SKOLEMAAAV3',union('SKOLEMAAAV4','SKOLEMAAAV5')),union('SKOLEMAAAV4','SKOLEMAAAV5')),
inference('UR-RESOLVE',[status(thm)],[10,12509,15]) ).
cnf(12674,plain,
member('SKOLEMAAAV2'('SKOLEMAAAV3',union('SKOLEMAAAV4','SKOLEMAAAV5')),'SKOLEMAAAV4'),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[10,12509,658]),15]) ).
cnf(12718,plain,
member('SKOLEMAAAV2'('SKOLEMAAAV3',union('SKOLEMAAAV4','SKOLEMAAAV5')),union('SKOLEMAAAV4',X)),
inference('HYPERRESOLVE',[status(thm)],[2,12674]) ).
cnf(12719,plain,
$false,
inference('REWRITE',[status(thm)],[12663,12718]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SET577+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n019.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun Jul 10 02:01:23 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-07-10T02:01:23
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-07-10T02:01:23
% 0.19/0.47
% 0.19/0.47 ; Recognized commutativity assertion (= (|union| ?X ?Y) (|union| ?Y ?X)).
% 121.51/121.77 ; Declaring union to be commutative.
% 121.51/121.77
% 121.51/121.77 #||
% 121.51/121.77 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 121.51/121.77 % SZS output start Refutation
% See solution above
% 121.51/121.77 ||#
% 121.51/121.77
% 121.51/121.77 ; Summary of computation:
% 121.51/121.77 ; 197343 formulas have been input or derived (from 1606 formulas).
% 121.51/121.77 ; 12719 ( 6%) were retained. Of these,
% 121.51/121.77 ; 2332 (18%) were simplified or subsumed later,
% 121.51/121.77 ; 10387 (82%) are still being kept.
% 121.51/121.77 ;
% 121.51/121.77 ; Run time in seconds excluding printing time:
% 121.51/121.77 ; 0.002 0% Read assertion file (1 call)
% 121.51/121.77 ; 0.001 0% Assert (7 calls)
% 121.51/121.77 ; 1.925 2% Process new row (183,235 calls)
% 121.51/121.77 ; 4.182 3% Resolution (3,210 calls)
% 121.51/121.77 ; 1.962 2% Paramodulation (1,605 calls)
% 121.51/121.77 ; 0.010 0% Factoring (1,508 calls)
% 121.51/121.77 ; 2.340 2% Condensing (157,074 calls)
% 121.51/121.77 ; 67.376 56% Forward subsumption (157,074 calls)
% 121.51/121.77 ; 3.502 3% Backward subsumption (12,529 calls)
% 121.51/121.77 ; 27.935 23% Clause clause subsumption (8,322,495 calls)
% 121.51/121.77 ; 8.791 7% Forward simplification (181,637 calls)
% 121.51/121.77 ; 0.154 0% Backward simplification (12,719 calls)
% 121.51/121.77 ; 2.297 2% Ordering (1,884,900 calls)
% 121.51/121.77 ; 0.000 0% Sortal reasoning (32 calls)
% 121.51/121.77 ; 0.000 0% Purity testing (1 call)
% 121.51/121.77 ; 0.801 1% Other
% 121.51/121.77 ; 121.278 Total
% 121.51/121.77 ; 121.314 Real time
% 121.51/121.77 ;
% 121.51/121.78 ; Term-hash-array has 4,398 terms in all.
% 121.51/121.78 ; Feature-vector-row-index has 10,274 entries (11,370 at peak, 12,529 added, 2,255 deleted).
% 121.51/121.78 ; Feature-vector-row-index has 29,066 nodes (33,914 at peak, 39,829 added, 10,763 deleted).
% 121.51/121.78 ; Retrieved 26,477,744 possibly forward subsuming rows in 157,074 calls.
% 121.51/121.78 ; Retrieved 645,582 possibly backward subsumed rows in 12,529 calls.
% 121.51/121.78 ; Path-index has 4,009 entries (4,249 at peak, 4,622 added, 613 deleted).
% 121.51/121.78 ; Path-index has 352 nodes (361 at peak, 378 added, 26 deleted).
% 121.51/121.78 ; Trie-index has 4,009 entries (4,249 at peak, 4,622 added, 613 deleted).
% 121.51/121.78 ; Trie-index has 9,883 nodes (10,983 at peak, 11,696 added, 1,813 deleted).
% 121.51/121.78 ; Retrieved 928,832 generalization terms in 1,214,086 calls.
% 121.51/121.78 ; Retrieved 593 instance terms in 189 calls.
% 121.51/121.78 ; Retrieved 668,504 unifiable terms in 24,438 calls.
% 121.51/121.78 ;
% 121.51/121.78 ; The agenda of rows to process has 4 entries:
% 121.51/121.78 ; 3 with value 27 1 with value 32
% 121.51/121.78 ; The agenda of rows to give has 9014 entries:
% 121.51/121.78 ; 3 with value (4 24) 465 with value (4 40) 73 with value (4 56)
% 121.51/121.78 ; 2 with value (4 25) 598 with value (4 41) 63 with value (4 57)
% 121.51/121.78 ; 5 with value (4 26) 451 with value (4 42) 82 with value (4 58)
% 121.51/121.78 ; 2 with value (4 27) 279 with value (4 43) 48 with value (4 59)
% 121.51/121.78 ; 3 with value (4 28) 195 with value (4 44) 37 with value (4 60)
% 121.51/121.78 ; 7 with value (4 29) 224 with value (4 45) 61 with value (4 61)
% 121.51/121.78 ; 3 with value (4 30) 298 with value (4 46) 15 with value (4 62)
% 121.51/121.78 ; 87 with value (4 31) 352 with value (4 47) 5 with value (4 63)
% 121.51/121.78 ; 393 with value (4 32) 207 with value (4 48) 13 with value (4 64)
% 121.51/121.78 ; 437 with value (4 33) 169 with value (4 49) 2 with value (4 65)
% 121.51/121.78 ; 483 with value (4 34) 301 with value (4 50) 4 with value (4 66)
% 121.51/121.78 ; 416 with value (4 35) 161 with value (4 51) 5 with value (4 67)
% 121.51/121.78 ; 622 with value (4 36) 199 with value (4 52) 6 with value (4 68)
% 121.51/121.78 ; 639 with value (4 37) 108 with value (4 53) 10 with value (4 69)
% 121.51/121.78 ; 577 with value (4 38) 82 with value (4 54) 2 with value (4 73)
% 121.51/121.78 ; 753 with value (4 39) 61 with value (4 55) 6 with value (4 75)
% 121.51/121.78 Evaluation took:
% 121.51/121.78 121.317 seconds of real time
% 121.51/121.78 108.76315 seconds of user run time
% 121.51/121.78 12.520804 seconds of system run time
% 121.51/121.78 [Run times include 9.326 seconds GC run time.]
% 121.51/121.78 0 calls to %EVAL
% 121.51/121.78 0 page faults and
% 121.51/121.78 15,929,759,056 bytes consed.
% 121.51/121.78 :PROOF-FOUND
% 121.51/121.78 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T02:03:24
% 121.51/121.78 :PROOF-FOUND
% 121.51/121.78 *
%------------------------------------------------------------------------------