%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET792+4 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n024.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 0.15s 0.52s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of clauses : 15 ( 9 unt; 2 nHn; 13 RR)
% Number of literals : 29 ( 3 equ; 14 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-3 aty)
% Number of variables : 20 ( 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(91,axiom,
( min(X,Y,Z)
| ~ member(X,Z)
| member('SKOLEMAAAV14'(Z,Y,X),Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+3.ax',min) ).
cnf(92,axiom,
( min(X,Y,Z)
| ~ member(X,Z)
| apply(Y,'SKOLEMAAAV14'(Z,Y,X),X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+3.ax',min) ).
cnf(93,axiom,
( min(X,Y,Z)
| ~ member(X,Z)
| X != 'SKOLEMAAAV14'(Z,Y,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+3.ax',min) ).
cnf(106,negated_conjecture,
order('SKOLEMAAAV17','SKOLEMAAAV18'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thIV4) ).
cnf(107,negated_conjecture,
least('SKOLEMAAAV19','SKOLEMAAAV17','SKOLEMAAAV18'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thIV4) ).
cnf(108,negated_conjecture,
~ min('SKOLEMAAAV19','SKOLEMAAAV17','SKOLEMAAAV18'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thIV4) ).
cnf(109,plain,
member('SKOLEMAAAV19','SKOLEMAAAV18'),
inference('HYPERRESOLVE',[status(thm)],[80,107]) ).
cnf(125,plain,
'SKOLEMAAAV19' != 'SKOLEMAAAV14'('SKOLEMAAAV18','SKOLEMAAAV17','SKOLEMAAAV19'),
inference('UR-RESOLVE',[status(thm)],[93,109,108]) ).
cnf(126,plain,
member('SKOLEMAAAV14'('SKOLEMAAAV18','SKOLEMAAAV17','SKOLEMAAAV19'),'SKOLEMAAAV18'),
inference('UR-RESOLVE',[status(thm)],[91,109,108]) ).
cnf(127,plain,
apply('SKOLEMAAAV17','SKOLEMAAAV14'('SKOLEMAAAV18','SKOLEMAAAV17','SKOLEMAAAV19'),'SKOLEMAAAV19'),
inference('UR-RESOLVE',[status(thm)],[92,109,108]) ).
cnf(146,plain,
apply('SKOLEMAAAV17','SKOLEMAAAV19','SKOLEMAAAV14'('SKOLEMAAAV18','SKOLEMAAAV17','SKOLEMAAAV19')),
inference('HYPERRESOLVE',[status(thm)],[81,126,107]) ).
cnf(166,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[2,127,106,126,109,125]),146]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET792+4 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.11/0.31 % Computer : n024.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 600
% 0.11/0.31 % DateTime : Sun Jul 10 05:30:28 EDT 2022
% 0.11/0.31 % CPUTime :
% 0.15/0.42 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.43 *
% 0.15/0.43 *
% 0.15/0.44 #<PACKAGE "SNARK-USER">
% 0.15/0.44 *
% 0.15/0.44 SNARK-TPTP-OPTIONS
% 0.15/0.44 *
% 0.15/0.44 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.15/0.44 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.15/0.44 (USE-FACTORING :POS)
% 0.15/0.44 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.15/0.44 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.15/0.44 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.15/0.44 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.15/0.44 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.15/0.44 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.15/0.44 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.15/0.44 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.15/0.44 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.15/0.44 (DECLARE-TPTP-SYMBOLS2))
% 0.15/0.44 *
% 0.15/0.44 "."
% 0.15/0.44 *
% 0.15/0.44 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T05:30:28
% 0.15/0.44 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-07-10T05:30:28
% 0.15/0.52
% 0.15/0.52
% 0.15/0.52 #||
% 0.15/0.52 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.52 % SZS output start Refutation
% See solution above
% 0.15/0.52 ||#
% 0.15/0.52
% 0.15/0.52 ; Summary of computation:
% 0.15/0.52 ; 215 formulas have been input or derived (from 114 formulas).
% 0.15/0.52 ; 166 (77%) were retained. Of these,
% 0.15/0.52 ; 166 (100%) are still being kept.
% 0.15/0.52 ;
% 0.15/0.52 ; Run time in seconds:
% 0.15/0.52 ; 0.006 8% Read assertion file (1 call)
% 0.15/0.52 ; 0.003 4% Assert (11 calls)
% 0.15/0.52 ; 0.014 18% Process new row (194 calls)
% 0.15/0.52 ; 0.016 21% Resolution (226 calls)
% 0.15/0.52 ; 0.000 0% Paramodulation (113 calls)
% 0.15/0.52 ; 0.000 0% Factoring (22 calls)
% 0.15/0.52 ; 0.003 4% Condensing (155 calls)
% 0.15/0.52 ; 0.002 3% Forward subsumption (155 calls)
% 0.15/0.52 ; 0.002 3% Backward subsumption (155 calls)
% 0.15/0.52 ; 0.000 0% Clause clause subsumption (33 calls)
% 0.15/0.52 ; 0.002 3% Forward simplification (194 calls)
% 0.15/0.52 ; 0.000 0% Backward simplification (166 calls)
% 0.15/0.52 ; 0.001 1% Ordering (300 calls)
% 0.15/0.52 ; 0.000 0% Sortal reasoning (32 calls)
% 0.15/0.52 ; 0.001 1% Purity testing (1 call)
% 0.15/0.52 ; 0.026 34% Other
% 0.15/0.52 ; 0.076 Total
% 0.15/0.52 ; 0.077 Real time
% 0.15/0.52 ;
% 0.15/0.52 ; Term-hash-array has 192 terms in all.
% 0.15/0.52 ; Feature-vector-row-index has 155 entries (155 at peak, 155 added, 0 deleted).
% 0.15/0.52 ; Feature-vector-row-index has 647 nodes (647 at peak, 647 added, 0 deleted).
% 0.15/0.52 ; Retrieved 66 possibly forward subsuming rows in 155 calls.
% 0.15/0.52 ; Retrieved 43 possibly backward subsumed rows in 155 calls.
% 0.15/0.52 ; Path-index has 195 entries (195 at peak, 195 added, 0 deleted).
% 0.15/0.52 ; Path-index has 741 nodes (741 at peak, 741 added, 0 deleted).
% 0.15/0.52 ; Trie-index has 195 entries (195 at peak, 195 added, 0 deleted).
% 0.15/0.52 ; Trie-index has 619 nodes (619 at peak, 619 added, 0 deleted).
% 0.15/0.52 ; Retrieved 16 generalization terms in 228 calls.
% 0.15/0.52 ; Retrieved 10 instance terms in 10 calls.
% 0.15/0.52 ; Retrieved 19,651 unifiable terms in 1,923 calls.
% 0.15/0.52 ;
% 0.15/0.52 ; The agenda of rows to process has 7 entries:
% 0.15/0.52 ; 1 with value 12 6 with value 33
% 0.15/0.52 ; The agenda of rows to give has 52 entries:
% 0.15/0.52 ; 3 with value (4 12) 4 with value (4 24) 12 with value (4 33)
% 0.15/0.52 ; 7 with value (4 15) 2 with value (4 25) 6 with value (4 36)
% 0.15/0.52 ; 2 with value (4 16) 2 with value (4 26) 2 with value (4 38)
% 0.15/0.52 ; 2 with value (4 20) 8 with value (4 28) 2 with value (4 39)
% 0.15/0.52 Evaluation took:
% 0.15/0.52 0.078 seconds of real time
% 0.15/0.52 0.068032 seconds of user run time
% 0.15/0.52 0.008958 seconds of system run time
% 0.15/0.52 0 calls to %EVAL
% 0.15/0.52 0 page faults and
% 0.15/0.52 5,102,136 bytes consed.
% 0.15/0.52 :PROOF-FOUND
% 0.15/0.52 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T05:30:28
% 0.15/0.52 :PROOF-FOUND
% 0.15/0.52 *
%------------------------------------------------------------------------------