TSTP Solution File: SET804+4 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET804+4 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n021.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 05:12:16 EDT 2022
% Result : Theorem 0.39s 0.58s
% Output : Refutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of clauses : 16 ( 12 unt; 0 nHn; 16 RR)
% Number of literals : 23 ( 3 equ; 9 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 14 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(80,axiom,
( ~ least(X,Y,Z)
| member(X,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+3.ax',least) ).
cnf(81,axiom,
( ~ least(X,Y,Z)
| ~ member(U,Z)
| apply(Y,X,U) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+3.ax',least) ).
cnf(89,axiom,
( ~ min(X,Y,Z)
| member(X,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+3.ax',min) ).
cnf(90,axiom,
( ~ min(X,Y,Z)
| ~ member(U,Z)
| ~ apply(Y,U,X)
| X = U ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+3.ax',min) ).
cnf(107,negated_conjecture,
min('SKOLEMAAAV19','SKOLEMAAAV17','SKOLEMAAAV18'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thIV16) ).
cnf(108,negated_conjecture,
min('SKOLEMAAAV20','SKOLEMAAAV17','SKOLEMAAAV18'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thIV16) ).
cnf(109,negated_conjecture,
'SKOLEMAAAV19' != 'SKOLEMAAAV20',
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thIV16) ).
cnf(110,negated_conjecture,
least('SKOLEMAAAV21','SKOLEMAAAV17','SKOLEMAAAV18'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thIV16) ).
cnf(111,plain,
member('SKOLEMAAAV21','SKOLEMAAAV18'),
inference('HYPERRESOLVE',[status(thm)],[80,110]) ).
cnf(112,plain,
member('SKOLEMAAAV19','SKOLEMAAAV18'),
inference('HYPERRESOLVE',[status(thm)],[89,107]) ).
cnf(113,plain,
member('SKOLEMAAAV20','SKOLEMAAAV18'),
inference('HYPERRESOLVE',[status(thm)],[89,108]) ).
cnf(148,plain,
apply('SKOLEMAAAV17','SKOLEMAAAV21','SKOLEMAAAV19'),
inference('HYPERRESOLVE',[status(thm)],[81,112,110]) ).
cnf(149,plain,
~ apply('SKOLEMAAAV17','SKOLEMAAAV19','SKOLEMAAAV20'),
inference('UR-RESOLVE',[status(thm)],[90,112,108,109]) ).
cnf(169,plain,
apply('SKOLEMAAAV17','SKOLEMAAAV21','SKOLEMAAAV20'),
inference('HYPERRESOLVE',[status(thm)],[81,113,110]) ).
cnf(189,plain,
'SKOLEMAAAV19' = 'SKOLEMAAAV21',
inference('HYPERRESOLVE',[status(thm)],[90,148,107,111]) ).
cnf(191,plain,
$false,
inference('REWRITE',[status(thm)],[169,149,189,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET804+4 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n021.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 : Sun Jul 10 12:49:52 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.48 #<PACKAGE "SNARK-USER">
% 0.19/0.48 *
% 0.19/0.48 SNARK-TPTP-OPTIONS
% 0.19/0.48 *
% 0.19/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48 (USE-FACTORING :POS)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48 *
% 0.19/0.48 "."
% 0.19/0.48 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T12:49:52
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-07-10T12:49:52
% 0.39/0.58
% 0.39/0.58
% 0.39/0.58 #||
% 0.39/0.58 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.39/0.58 % SZS output start Refutation
% See solution above
% 0.39/0.58 ||#
% 0.39/0.58
% 0.39/0.58 ; Summary of computation:
% 0.39/0.59 ; 305 formulas have been input or derived (from 117 formulas).
% 0.39/0.59 ; 191 (63%) were retained. Of these,
% 0.39/0.59 ; 23 (12%) were simplified or subsumed later,
% 0.39/0.59 ; 168 (88%) are still being kept.
% 0.39/0.59 ;
% 0.39/0.59 ; Run time in seconds excluding printing time:
% 0.39/0.59 ; 0.005 5% Read assertion file (1 call)
% 0.39/0.59 ; 0.004 4% Assert (11 calls)
% 0.39/0.59 ; 0.015 15% Process new row (270 calls)
% 0.39/0.59 ; 0.033 32% Resolution (232 calls)
% 0.39/0.59 ; 0.000 0% Paramodulation (116 calls)
% 0.39/0.59 ; 0.000 0% Factoring (22 calls)
% 0.39/0.59 ; 0.006 6% Condensing (191 calls)
% 0.39/0.59 ; 0.005 5% Forward subsumption (191 calls)
% 0.39/0.59 ; 0.001 1% Backward subsumption (173 calls)
% 0.39/0.59 ; 0.001 1% Clause clause subsumption (53 calls)
% 0.39/0.59 ; 0.004 4% Forward simplification (270 calls)
% 0.39/0.59 ; 0.001 1% Backward simplification (191 calls)
% 0.39/0.59 ; 0.003 3% Ordering (358 calls)
% 0.39/0.59 ; 0.000 0% Sortal reasoning (32 calls)
% 0.39/0.59 ; 0.000 0% Purity testing (1 call)
% 0.39/0.59 ; 0.025 24% Other
% 0.39/0.59 ; 0.103 Total
% 0.39/0.59 ; 0.105 Real time
% 0.39/0.59 ;
% 0.39/0.59 ; Term-hash-array has 227 terms in all.
% 0.39/0.59 ; Feature-vector-row-index has 155 entries (173 at peak, 173 added, 18 deleted).
% 0.39/0.59 ; Feature-vector-row-index has 534 nodes (599 at peak, 599 added, 65 deleted).
% 0.39/0.59 ; Retrieved 95 possibly forward subsuming rows in 191 calls.
% 0.39/0.59 ; Retrieved 43 possibly backward subsumed rows in 173 calls.
% 0.39/0.59 ; Path-index has 198 entries (231 at peak, 232 added, 34 deleted).
% 0.39/0.59 ; Path-index has 579 nodes (608 at peak, 609 added, 30 deleted).
% 0.39/0.59 ; Trie-index has 198 entries (231 at peak, 232 added, 34 deleted).
% 0.39/0.59 ; Trie-index has 521 nodes (587 at peak, 589 added, 68 deleted).
% 0.39/0.59 ; Retrieved 36 generalization terms in 413 calls.
% 0.39/0.59 ; Retrieved 17 instance terms in 17 calls.
% 0.39/0.59 ; Retrieved 35,127 unifiable terms in 2,938 calls.
% 0.39/0.59 ;
% 0.39/0.59 ; The agenda of rows to process has 13 entries:
% 0.39/0.59 ; 1 with value 8 12 with value 29
% 0.39/0.59 ; The agenda of input rows to give has 1 entry:
% 0.39/0.59 ; 1 with value 5
% 0.39/0.59 ; The agenda of rows to give has 54 entries:
% 0.39/0.59 ; 4 with value (4 7) 4 with value (4 16) 12 with value (4 28)
% 0.39/0.59 ; 2 with value (4 12) 4 with value (4 25) 12 with value (4 33)
% 0.39/0.59 ; 12 with value (4 15) 4 with value (4 26)
% 0.39/0.59 Evaluation took:
% 0.39/0.59 0.105 seconds of real time
% 0.39/0.59 0.090966 seconds of user run time
% 0.39/0.59 0.013675 seconds of system run time
% 0.39/0.59 0 calls to %EVAL
% 0.39/0.59 0 page faults and
% 0.39/0.59 5,589,800 bytes consed.
% 0.39/0.59 :PROOF-FOUND
% 0.39/0.59 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T12:49:52
% 0.39/0.59 :PROOF-FOUND
% 0.39/0.59 *
%------------------------------------------------------------------------------