TSTP Solution File: SET776+4 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET776+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n027.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 05:12:04 EDT 2022
% Result : Theorem 1.70s 1.94s
% Output : Refutation 1.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 12
% Syntax : Number of clauses : 16 ( 13 unt; 0 nHn; 16 RR)
% Number of literals : 28 ( 0 equ; 14 neg)
% Maximal clause size : 7 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 9 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(112,axiom,
( ~ pre_order(X,Y)
| ~ member(Z,Y)
| ~ member(U,Y)
| ~ member(V,Y)
| ~ apply(X,Z,U)
| ~ apply(X,U,V)
| apply(X,Z,V) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+2.ax',pre_order) ).
cnf(125,negated_conjecture,
pre_order('SKOLEMAAAU22','SKOLEMAAAU21'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thIII12) ).
cnf(126,negated_conjecture,
( ~ member(X,'SKOLEMAAAU21')
| ~ member(Y,'SKOLEMAAAU21')
| ~ apply('SKOLEMAAAU23',X,Y)
| apply('SKOLEMAAAU22',X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thIII12) ).
cnf(127,negated_conjecture,
( ~ member(X,'SKOLEMAAAU21')
| ~ member(Y,'SKOLEMAAAU21')
| ~ apply('SKOLEMAAAU23',X,Y)
| apply('SKOLEMAAAU22',Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thIII12) ).
cnf(129,negated_conjecture,
member('SKOLEMAAAU24','SKOLEMAAAU21'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thIII12) ).
cnf(130,negated_conjecture,
member('SKOLEMAAAU25','SKOLEMAAAU21'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thIII12) ).
cnf(131,negated_conjecture,
member('SKOLEMAAAU26','SKOLEMAAAU21'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thIII12) ).
cnf(132,negated_conjecture,
member('SKOLEMAAAU27','SKOLEMAAAU21'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thIII12) ).
cnf(133,negated_conjecture,
apply('SKOLEMAAAU23','SKOLEMAAAU24','SKOLEMAAAU26'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thIII12) ).
cnf(134,negated_conjecture,
apply('SKOLEMAAAU23','SKOLEMAAAU25','SKOLEMAAAU27'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thIII12) ).
cnf(135,negated_conjecture,
apply('SKOLEMAAAU22','SKOLEMAAAU24','SKOLEMAAAU25'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thIII12) ).
cnf(136,negated_conjecture,
~ apply('SKOLEMAAAU22','SKOLEMAAAU26','SKOLEMAAAU27'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thIII12) ).
cnf(311,plain,
apply('SKOLEMAAAU22','SKOLEMAAAU25','SKOLEMAAAU27'),
inference('HYPERRESOLVE',[status(thm)],[126,130,132,134]) ).
cnf(313,plain,
apply('SKOLEMAAAU22','SKOLEMAAAU26','SKOLEMAAAU24'),
inference('HYPERRESOLVE',[status(thm)],[127,129,131,133]) ).
cnf(1490,plain,
~ apply('SKOLEMAAAU22','SKOLEMAAAU26','SKOLEMAAAU25'),
inference('UR-RESOLVE',[status(thm)],[112,311,125,131,130,132,136]) ).
cnf(1493,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[112,313,125,131,129,130,135]),1490]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SET776+4 : TPTP v8.1.0. Released v2.2.0.
% 0.08/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jul 11 08:53:03 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T08:53:04
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-07-11T08:53:04
% 1.70/1.94
% 1.70/1.94
% 1.70/1.94 #||
% 1.70/1.94 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.70/1.94 % SZS output start Refutation
% See solution above
% 1.70/1.94 ||#
% 1.70/1.94
% 1.70/1.94 ; Summary of computation:
% 1.70/1.94 ; 5392 formulas have been input or derived (from 154 formulas).
% 1.70/1.94 ; 1493 (28%) were retained. Of these,
% 1.70/1.94 ; 1493 (100%) are still being kept.
% 1.70/1.94 ;
% 1.70/1.94 ; Run time in seconds excluding printing time:
% 1.70/1.94 ; 0.007 0% Read assertion file (1 call)
% 1.70/1.94 ; 0.003 0% Assert (17 calls)
% 1.70/1.94 ; 0.137 9% Process new row (4,461 calls)
% 1.70/1.94 ; 0.872 59% Resolution (306 calls)
% 1.70/1.94 ; 0.002 0% Paramodulation (153 calls)
% 1.70/1.94 ; 0.000 0% Factoring (28 calls)
% 1.70/1.94 ; 0.034 2% Condensing (2,179 calls)
% 1.70/1.94 ; 0.172 12% Forward subsumption (2,179 calls)
% 1.70/1.94 ; 0.034 2% Backward subsumption (1,406 calls)
% 1.70/1.94 ; 0.021 1% Clause clause subsumption (5,856 calls)
% 1.70/1.94 ; 0.116 8% Forward simplification (4,461 calls)
% 1.70/1.94 ; 0.004 0% Backward simplification (1,493 calls)
% 1.70/1.94 ; 0.027 2% Ordering (14,128 calls)
% 1.70/1.94 ; 0.000 0% Sortal reasoning (32 calls)
% 1.70/1.94 ; 0.001 0% Purity testing (1 call)
% 1.70/1.94 ; 0.038 3% Other
% 1.70/1.94 ; 1.468 Total
% 1.70/1.94 ; 1.469 Real time
% 1.70/1.94 ;
% 1.70/1.94 ; Term-hash-array has 1,266 terms in all.
% 1.70/1.94 ; Feature-vector-row-index has 1,406 entries (1,406 at peak, 1,406 added, 0 deleted).
% 1.70/1.94 ; Feature-vector-row-index has 3,399 nodes (3,399 at peak, 3,399 added, 0 deleted).
% 1.70/1.94 ; Retrieved 19,930 possibly forward subsuming rows in 2,179 calls.
% 1.70/1.94 ; Retrieved 956 possibly backward subsumed rows in 1,406 calls.
% 1.70/1.94 ; Path-index has 1,274 entries (1,274 at peak, 1,274 added, 0 deleted).
% 1.70/1.94 ; Path-index has 2,471 nodes (2,471 at peak, 2,471 added, 0 deleted).
% 1.70/1.94 ; Trie-index has 1,274 entries (1,274 at peak, 1,274 added, 0 deleted).
% 1.70/1.94 ; Trie-index has 3,083 nodes (3,083 at peak, 3,083 added, 0 deleted).
% 1.70/1.94 ; Retrieved 1,659 generalization terms in 28,879 calls.
% 1.70/1.94 ; Retrieved 91 instance terms in 86 calls.
% 1.70/1.94 ; Retrieved 752,244 unifiable terms in 30,342 calls.
% 1.70/1.94 ;
% 1.70/1.94 ; The agenda of rows to process has 29 entries:
% 1.70/1.94 ; 13 with value 7 1 with value 10 15 with value 21
% 1.70/1.94 ; The agenda of rows to give has 1339 entries:
% 1.70/1.94 ; 5 with value (4 6) 12 with value (4 25) 24 with value (4 43)
% 1.70/1.94 ; 9 with value (4 7) 9 with value (4 26) 6 with value (4 44)
% 1.70/1.94 ; 30 with value (4 8) 25 with value (4 27) 12 with value (4 46)
% 1.70/1.94 ; 8 with value (4 9) 38 with value (4 28) 32 with value (4 47)
% 1.70/1.94 ; 7 with value (4 10) 62 with value (4 29) 14 with value (4 48)
% 1.70/1.94 ; 8 with value (4 12) 28 with value (4 30) 32 with value (4 49)
% 1.70/1.94 ; 10 with value (4 13) 5 with value (4 31) 20 with value (4 50)
% 1.70/1.94 ; 9 with value (4 14) 8 with value (4 32) 14 with value (4 51)
% 1.70/1.94 ; 6 with value (4 15) 10 with value (4 33) 26 with value (4 52)
% 1.70/1.94 ; 15 with value (4 16) 2 with value (4 34) 96 with value (4 53)
% 1.70/1.94 ; 1 with value (4 17) 12 with value (4 35) 96 with value (4 54)
% 1.70/1.94 ; 12 with value (4 18) 52 with value (4 36) 36 with value (4 56)
% 1.70/1.94 ; 5 with value (4 19) 18 with value (4 37) 84 with value (4 61)
% 1.70/1.94 ; 17 with value (4 20) 12 with value (4 38) 48 with value (4 62)
% 1.70/1.94 ; 6 with value (4 21) 46 with value (4 39) 24 with value (4 63)
% 1.70/1.94 ; 7 with value (4 22) 34 with value (4 40) 24 with value (4 64)
% 1.70/1.94 ; 6 with value (4 23) 16 with value (4 41) 72 with value (4 75)
% 1.70/1.94 ; 5 with value (4 24) 52 with value (4 42) 72 with value (4 76)
% 1.70/1.94 Evaluation took:
% 1.70/1.94 1.469 seconds of real time
% 1.70/1.94 1.413226 seconds of user run time
% 1.70/1.94 0.056295 seconds of system run time
% 1.70/1.94 [Run times include 0.056 seconds GC run time.]
% 1.70/1.94 0 calls to %EVAL
% 1.70/1.94 0 page faults and
% 1.70/1.94 95,901,800 bytes consed.
% 1.70/1.94 :PROOF-FOUND
% 1.70/1.94 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T08:53:05
% 1.70/1.94 :PROOF-FOUND
% 1.70/1.94 *
%------------------------------------------------------------------------------