TSTP Solution File: SET797+4 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET797+4 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n020.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 05:12:13 EDT 2022
% Result : Theorem 0.78s 0.95s
% Output : Refutation 0.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of clauses : 11 ( 7 unt; 1 nHn; 10 RR)
% Number of literals : 17 ( 0 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-3 aty)
% Number of variables : 13 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ subset(X,Y)
| ~ member(Z,X)
| member(Z,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',subset) ).
cnf(99,axiom,
( ~ upper_bound(X,Y,Z)
| ~ member(U,Z)
| apply(Y,U,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+3.ax',upper_bound) ).
cnf(100,axiom,
( upper_bound(X,Y,Z)
| member('SKOLEMAAAV12'(Z,Y,X),Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+3.ax',upper_bound) ).
cnf(101,axiom,
( upper_bound(X,Y,Z)
| ~ apply(Y,'SKOLEMAAAV12'(Z,Y,X),X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+3.ax',upper_bound) ).
cnf(138,negated_conjecture,
subset('SKOLEMAAAV22','SKOLEMAAAV23'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thIV9) ).
cnf(139,negated_conjecture,
upper_bound('SKOLEMAAAV24','SKOLEMAAAV20','SKOLEMAAAV23'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thIV9) ).
cnf(140,negated_conjecture,
~ upper_bound('SKOLEMAAAV24','SKOLEMAAAV20','SKOLEMAAAV22'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thIV9) ).
cnf(183,plain,
member('SKOLEMAAAV12'('SKOLEMAAAV22','SKOLEMAAAV20','SKOLEMAAAV24'),'SKOLEMAAAV22'),
inference('HYPERRESOLVE',[status(thm)],[140,100]) ).
cnf(189,plain,
~ apply('SKOLEMAAAV20','SKOLEMAAAV12'('SKOLEMAAAV22','SKOLEMAAAV20','SKOLEMAAAV24'),'SKOLEMAAAV24'),
inference('UR-RESOLVE',[status(thm)],[101,140]) ).
cnf(776,plain,
member('SKOLEMAAAV12'('SKOLEMAAAV22','SKOLEMAAAV20','SKOLEMAAAV24'),'SKOLEMAAAV23'),
inference('HYPERRESOLVE',[status(thm)],[1,183,138]) ).
cnf(949,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[99,189,139]),776]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET797+4 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n020.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 : Sat Jul 9 23:06:58 EDT 2022
% 0.12/0.34 % 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 2022-07-09T23:06:58
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-07-09T23:06:58
% 0.78/0.95
% 0.78/0.95
% 0.78/0.95 #||
% 0.78/0.95 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.78/0.95 % SZS output start Refutation
% See solution above
% 0.78/0.95 ||#
% 0.78/0.95
% 0.78/0.95 ; Summary of computation:
% 0.78/0.95 ; 2982 formulas have been input or derived (from 210 formulas).
% 0.78/0.95 ; 949 (32%) were retained. Of these,
% 0.78/0.95 ; 16 ( 2%) were simplified or subsumed later,
% 0.78/0.95 ; 933 (98%) are still being kept.
% 0.78/0.95 ;
% 0.78/0.95 ; Run time in seconds excluding printing time:
% 0.78/0.95 ; 0.007 1% Read assertion file (1 call)
% 0.78/0.95 ; 0.005 1% Assert (22 calls)
% 0.78/0.95 ; 0.081 17% Process new row (2,703 calls)
% 0.78/0.95 ; 0.155 32% Resolution (418 calls)
% 0.78/0.95 ; 0.001 0% Paramodulation (209 calls)
% 0.78/0.95 ; 0.000 0% Factoring (24 calls)
% 0.78/0.95 ; 0.011 2% Condensing (932 calls)
% 0.78/0.95 ; 0.076 16% Forward subsumption (932 calls)
% 0.78/0.95 ; 0.010 2% Backward subsumption (428 calls)
% 0.78/0.95 ; 0.029 6% Clause clause subsumption (4,218 calls)
% 0.78/0.95 ; 0.063 13% Forward simplification (2,703 calls)
% 0.78/0.95 ; 0.006 1% Backward simplification (949 calls)
% 0.78/0.95 ; 0.005 1% Ordering (1,173 calls)
% 0.78/0.95 ; 0.001 0% Sortal reasoning (32 calls)
% 0.78/0.95 ; 0.000 0% Purity testing (1 call)
% 0.78/0.95 ; 0.034 7% Other
% 0.78/0.95 ; 0.484 Total
% 0.78/0.95 ; 0.486 Real time
% 0.78/0.95 ;
% 0.78/0.95 ; Term-hash-array has 1,611 terms in all.
% 0.78/0.95 ; Feature-vector-row-index has 424 entries (424 at peak, 428 added, 4 deleted).
% 0.78/0.95 ; Feature-vector-row-index has 1,586 nodes (1,586 at peak, 1,620 added, 34 deleted).
% 0.78/0.95 ; Retrieved 8,970 possibly forward subsuming rows in 932 calls.
% 0.78/0.95 ; Retrieved 158 possibly backward subsumed rows in 428 calls.
% 0.78/0.95 ; Path-index has 1,592 entries (1,592 at peak, 1,617 added, 25 deleted).
% 0.78/0.95 ; Path-index has 3,586 nodes (3,586 at peak, 3,601 added, 15 deleted).
% 0.78/0.95 ; Trie-index has 1,592 entries (1,592 at peak, 1,617 added, 25 deleted).
% 0.78/0.95 ; Trie-index has 4,516 nodes (4,516 at peak, 4,573 added, 57 deleted).
% 0.78/0.95 ; Retrieved 6,287 generalization terms in 11,697 calls.
% 0.78/0.95 ; Retrieved 560 instance terms in 520 calls.
% 0.78/0.95 ; Retrieved 189,048 unifiable terms in 8,204 calls.
% 0.78/0.95 ;
% 0.78/0.95 ; The agenda of rows to process has 37 entries:
% 0.78/0.95 ; 2 with value 10 10 with value 13 3 with value 16
% 0.78/0.95 ; 1 with value 11 9 with value 14 2 with value 17
% 0.78/0.95 ; 6 with value 12 4 with value 15
% 0.78/0.95 ; The agenda of rows to give has 723 entries:
% 0.78/0.95 ; 1 with value (4 7) 13 with value (4 19) 8 with value (4 32)
% 0.78/0.95 ; 2 with value (4 9) 42 with value (4 20) 14 with value (4 33)
% 0.78/0.95 ; 78 with value (4 10) 8 with value (4 21) 8 with value (4 34)
% 0.78/0.95 ; 76 with value (4 11) 7 with value (4 22) 8 with value (4 35)
% 0.78/0.95 ; 105 with value (4 12) 21 with value (4 23) 4 with value (4 36)
% 0.78/0.95 ; 92 with value (4 13) 2 with value (4 24) 26 with value (4 37)
% 0.78/0.95 ; 69 with value (4 14) 2 with value (4 25) 14 with value (4 38)
% 0.78/0.95 ; 23 with value (4 15) 5 with value (4 26) 6 with value (4 39)
% 0.78/0.95 ; 10 with value (4 16) 3 with value (4 27) 2 with value (4 40)
% 0.78/0.95 ; 3 with value (4 17) 2 with value (4 29) 12 with value (4 43)
% 0.78/0.95 ; 19 with value (4 18) 2 with value (4 30) 36 with value (4 92)
% 0.78/0.95 Evaluation took:
% 0.78/0.95 0.486 seconds of real time
% 0.78/0.95 0.451881 seconds of user run time
% 0.78/0.95 0.034076 seconds of system run time
% 0.78/0.95 [Run times include 0.016 seconds GC run time.]
% 0.78/0.95 0 calls to %EVAL
% 0.78/0.95 0 page faults and
% 0.78/0.95 35,135,928 bytes consed.
% 0.78/0.95 :PROOF-FOUND
% 0.78/0.95 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-09T23:06:59
% 0.78/0.95 :PROOF-FOUND
% 0.78/0.95 *
%------------------------------------------------------------------------------