TSTP Solution File: SET790+4 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET790+4 : TPTP v8.1.0. Released v3.2.0.
% 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 05:12:11 EDT 2022
% Result : Theorem 0.40s 0.57s
% Output : Refutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of clauses : 12 ( 9 unt; 0 nHn; 12 RR)
% Number of literals : 20 ( 2 equ; 9 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 11 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( ~ order(X,Y)
| ~ member(Z,Y)
| ~ member(U,Y)
| ~ apply(X,Z,U)
| ~ apply(X,U,Z)
| Z = U ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+3.ax',order) ).
cnf(80,axiom,
( ~ least(X,Y,Z)
| member(X,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+3.ax',least) ).
cnf(81,axiom,
( ~ least(X,Y,Z)
| ~ member(U,Z)
| apply(Y,X,U) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+3.ax',least) ).
cnf(106,negated_conjecture,
order('SKOLEMAAAV17','SKOLEMAAAV18'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thIV2) ).
cnf(107,negated_conjecture,
least('SKOLEMAAAV19','SKOLEMAAAV17','SKOLEMAAAV18'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thIV2) ).
cnf(108,negated_conjecture,
least('SKOLEMAAAV20','SKOLEMAAAV17','SKOLEMAAAV18'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thIV2) ).
cnf(109,negated_conjecture,
'SKOLEMAAAV19' != 'SKOLEMAAAV20',
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thIV2) ).
cnf(110,plain,
member('SKOLEMAAAV19','SKOLEMAAAV18'),
inference('HYPERRESOLVE',[status(thm)],[80,107]) ).
cnf(111,plain,
member('SKOLEMAAAV20','SKOLEMAAAV18'),
inference('HYPERRESOLVE',[status(thm)],[80,108]) ).
cnf(127,plain,
apply('SKOLEMAAAV17','SKOLEMAAAV20','SKOLEMAAAV19'),
inference('HYPERRESOLVE',[status(thm)],[81,110,108]) ).
cnf(147,plain,
apply('SKOLEMAAAV17','SKOLEMAAAV19','SKOLEMAAAV20'),
inference('HYPERRESOLVE',[status(thm)],[81,111,107]) ).
cnf(166,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[2,127,106,111,110,109]),147]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET790+4 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n019.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sun Jul 10 09:32:53 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.47 *
% 0.21/0.47 *
% 0.21/0.47 #<PACKAGE "SNARK-USER">
% 0.21/0.47 *
% 0.21/0.47 SNARK-TPTP-OPTIONS
% 0.21/0.47 *
% 0.21/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.47 (USE-FACTORING :POS)
% 0.21/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.47 *
% 0.21/0.47 "."
% 0.21/0.47 *
% 0.21/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T09:32:53
% 0.21/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-07-10T09:32:53
% 0.40/0.57
% 0.40/0.57
% 0.40/0.57 #||
% 0.40/0.57 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.40/0.57 % SZS output start Refutation
% See solution above
% 0.40/0.57 ||#
% 0.40/0.57
% 0.40/0.57 ; Summary of computation:
% 0.40/0.57 ; 219 formulas have been input or derived (from 114 formulas).
% 0.40/0.57 ; 166 (76%) were retained. Of these,
% 0.40/0.57 ; 166 (100%) are still being kept.
% 0.40/0.57 ;
% 0.40/0.57 ; Run time in seconds excluding printing time:
% 0.40/0.57 ; 0.005 6% Read assertion file (1 call)
% 0.40/0.57 ; 0.004 5% Assert (11 calls)
% 0.40/0.57 ; 0.010 12% Process new row (200 calls)
% 0.40/0.57 ; 0.022 27% Resolution (226 calls)
% 0.40/0.57 ; 0.001 1% Paramodulation (113 calls)
% 0.40/0.57 ; 0.000 0% Factoring (22 calls)
% 0.40/0.57 ; 0.003 4% Condensing (155 calls)
% 0.40/0.57 ; 0.004 5% Forward subsumption (155 calls)
% 0.40/0.57 ; 0.003 4% Backward subsumption (155 calls)
% 0.40/0.57 ; 0.000 0% Clause clause subsumption (33 calls)
% 0.40/0.57 ; 0.003 4% Forward simplification (200 calls)
% 0.40/0.57 ; 0.003 4% Backward simplification (166 calls)
% 0.40/0.57 ; 0.000 0% Ordering (300 calls)
% 0.40/0.57 ; 0.000 0% Sortal reasoning (32 calls)
% 0.40/0.57 ; 0.000 0% Purity testing (1 call)
% 0.40/0.57 ; 0.024 29% Other
% 0.40/0.57 ; 0.082 Total
% 0.40/0.57 ; 0.100 Real time
% 0.40/0.57 ;
% 0.40/0.57 ; Term-hash-array has 191 terms in all.
% 0.40/0.57 ; Feature-vector-row-index has 155 entries (155 at peak, 155 added, 0 deleted).
% 0.40/0.57 ; Feature-vector-row-index has 534 nodes (534 at peak, 534 added, 0 deleted).
% 0.40/0.57 ; Retrieved 53 possibly forward subsuming rows in 155 calls.
% 0.40/0.57 ; Retrieved 43 possibly backward subsumed rows in 155 calls.
% 0.40/0.57 ; Path-index has 195 entries (195 at peak, 195 added, 0 deleted).
% 0.40/0.57 ; Path-index has 576 nodes (576 at peak, 576 added, 0 deleted).
% 0.40/0.57 ; Trie-index has 195 entries (195 at peak, 195 added, 0 deleted).
% 0.40/0.57 ; Trie-index has 517 nodes (517 at peak, 517 added, 0 deleted).
% 0.40/0.57 ; Retrieved 22 generalization terms in 231 calls.
% 0.40/0.57 ; Retrieved 10 instance terms in 10 calls.
% 0.40/0.57 ; Retrieved 19,868 unifiable terms in 1,924 calls.
% 0.40/0.57 ;
% 0.40/0.57 ; The agenda of rows to process has 8 entries:
% 0.40/0.57 ; 2 with value 8 6 with value 29
% 0.40/0.57 ; The agenda of rows to give has 52 entries:
% 0.40/0.57 ; 2 with value (4 7) 4 with value (4 16) 12 with value (4 28)
% 0.40/0.57 ; 2 with value (4 12) 4 with value (4 25) 12 with value (4 33)
% 0.40/0.57 ; 12 with value (4 15) 4 with value (4 26)
% 0.40/0.57 Evaluation took:
% 0.40/0.57 0.101 seconds of real time
% 0.40/0.57 0.079234 seconds of user run time
% 0.40/0.57 0.004799 seconds of system run time
% 0.40/0.57 0 calls to %EVAL
% 0.40/0.57 0 page faults and
% 0.40/0.57 4,552,952 bytes consed.
% 0.40/0.57 :PROOF-FOUND
% 0.40/0.57 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T09:32:53
% 0.40/0.58 :PROOF-FOUND
% 0.40/0.58 *
%------------------------------------------------------------------------------