TSTP Solution File: SET793+4 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET793+4 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n018.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 05:12:12 EDT 2022
% Result : Theorem 0.19s 0.55s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of clauses : 15 ( 10 unt; 2 nHn; 14 RR)
% Number of literals : 27 ( 2 equ; 12 neg)
% Maximal clause size : 5 ( 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 : 17 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(65,axiom,
( ~ total_order(X,Y)
| ~ member(Z,Y)
| ~ member(U,Y)
| apply(X,Z,U)
| apply(X,U,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+3.ax',total_order) ).
cnf(78,axiom,
( greatest(X,Y,Z)
| ~ member(X,Z)
| member('SKOLEMAAAV11'(Z,Y,X),Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+3.ax',greatest) ).
cnf(79,axiom,
( greatest(X,Y,Z)
| ~ member(X,Z)
| ~ apply(Y,'SKOLEMAAAV11'(Z,Y,X),X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+3.ax',greatest) ).
cnf(84,axiom,
( ~ max(X,Y,Z)
| member(X,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+3.ax',max) ).
cnf(85,axiom,
( ~ max(X,Y,Z)
| ~ member(U,Z)
| ~ apply(Y,X,U)
| X = U ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+3.ax',max) ).
cnf(106,negated_conjecture,
total_order('SKOLEMAAAV17','SKOLEMAAAV18'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thIV5) ).
cnf(107,negated_conjecture,
max('SKOLEMAAAV19','SKOLEMAAAV17','SKOLEMAAAV18'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thIV5) ).
cnf(108,negated_conjecture,
~ greatest('SKOLEMAAAV19','SKOLEMAAAV17','SKOLEMAAAV18'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thIV5) ).
cnf(110,plain,
member('SKOLEMAAAV19','SKOLEMAAAV18'),
inference('HYPERRESOLVE',[status(thm)],[84,107]) ).
cnf(123,plain,
apply('SKOLEMAAAV17','SKOLEMAAAV19','SKOLEMAAAV19'),
inference('HYPERRESOLVE',[status(thm)],[65,110,106,110]) ).
cnf(124,plain,
member('SKOLEMAAAV11'('SKOLEMAAAV18','SKOLEMAAAV17','SKOLEMAAAV19'),'SKOLEMAAAV18'),
inference('UR-RESOLVE',[status(thm)],[78,110,108]) ).
cnf(125,plain,
~ apply('SKOLEMAAAV17','SKOLEMAAAV11'('SKOLEMAAAV18','SKOLEMAAAV17','SKOLEMAAAV19'),'SKOLEMAAAV19'),
inference('UR-RESOLVE',[status(thm)],[79,110,108]) ).
cnf(147,plain,
apply('SKOLEMAAAV17','SKOLEMAAAV19','SKOLEMAAAV11'('SKOLEMAAAV18','SKOLEMAAAV17','SKOLEMAAAV19')),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[65,124,106,110]),125]) ).
cnf(170,plain,
'SKOLEMAAAV19' = 'SKOLEMAAAV11'('SKOLEMAAAV18','SKOLEMAAAV17','SKOLEMAAAV19'),
inference('HYPERRESOLVE',[status(thm)],[85,147,107,124]) ).
cnf(171,plain,
$false,
inference('REWRITE',[status(thm)],[125,123,170,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET793+4 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n018.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 02:11:57 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-07-10T02:11:57
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-07-10T02:11:57
% 0.19/0.55
% 0.19/0.55
% 0.19/0.55 #||
% 0.19/0.55 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.55 % SZS output start Refutation
% See solution above
% 0.19/0.56 ||#
% 0.19/0.56
% 0.19/0.56 ; Summary of computation:
% 0.19/0.56 ; 257 formulas have been input or derived (from 117 formulas).
% 0.19/0.56 ; 171 (67%) were retained. Of these,
% 0.19/0.56 ; 24 (14%) were simplified or subsumed later,
% 0.19/0.56 ; 147 (86%) are still being kept.
% 0.19/0.56 ;
% 0.19/0.56 ; Run time in seconds:
% 0.19/0.56 ; 0.005 6% Read assertion file (1 call)
% 0.19/0.56 ; 0.003 3% Assert (11 calls)
% 0.19/0.56 ; 0.010 11% Process new row (203 calls)
% 0.19/0.56 ; 0.022 25% Resolution (232 calls)
% 0.19/0.56 ; 0.001 1% Paramodulation (116 calls)
% 0.19/0.56 ; 0.000 0% Factoring (22 calls)
% 0.19/0.56 ; 0.003 3% Condensing (153 calls)
% 0.19/0.56 ; 0.004 5% Forward subsumption (153 calls)
% 0.19/0.56 ; 0.003 3% Backward subsumption (153 calls)
% 0.19/0.56 ; 0.000 0% Clause clause subsumption (33 calls)
% 0.19/0.56 ; 0.004 5% Forward simplification (203 calls)
% 0.19/0.56 ; 0.002 2% Backward simplification (171 calls)
% 0.19/0.56 ; 0.001 1% Ordering (299 calls)
% 0.19/0.56 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.56 ; 0.001 1% Purity testing (1 call)
% 0.19/0.56 ; 0.029 33% Other
% 0.19/0.56 ; 0.088 Total
% 0.19/0.56 ; 0.088 Real time
% 0.19/0.56 ;
% 0.19/0.56 ; Term-hash-array has 195 terms in all.
% 0.19/0.56 ; Feature-vector-row-index has 135 entries (153 at peak, 153 added, 18 deleted).
% 0.19/0.56 ; Feature-vector-row-index has 458 nodes (637 at peak, 637 added, 179 deleted).
% 0.19/0.56 ; Retrieved 53 possibly forward subsuming rows in 153 calls.
% 0.19/0.56 ; Retrieved 43 possibly backward subsumed rows in 153 calls.
% 0.19/0.56 ; Path-index has 163 entries (198 at peak, 198 added, 35 deleted).
% 0.19/0.56 ; Path-index has 666 nodes (756 at peak, 756 added, 90 deleted).
% 0.19/0.56 ; Trie-index has 163 entries (198 at peak, 198 added, 35 deleted).
% 0.19/0.56 ; Trie-index has 460 nodes (633 at peak, 633 added, 173 deleted).
% 0.19/0.56 ; Retrieved 21 generalization terms in 247 calls.
% 0.19/0.56 ; Retrieved 17 instance terms in 17 calls.
% 0.19/0.56 ; Retrieved 19,528 unifiable terms in 2,000 calls.
% 0.19/0.56 ;
% 0.19/0.56 ; The agenda of backward simplifiable rows to process has 22 entries:
% 0.19/0.56 ; 22 with value 0
% 0.19/0.56 ; The agenda of rows to process has 7 entries:
% 0.19/0.56 ; 1 with value 13 6 with value 34
% 0.19/0.56 ; The agenda of rows to give has 33 entries:
% 0.19/0.56 ; 2 with value (4 12) 2 with value (4 16) 6 with value (4 28)
% 0.19/0.56 ; 1 with value (4 13) 2 with value (4 25) 12 with value (4 33)
% 0.19/0.56 ; 6 with value (4 15) 2 with value (4 26)
% 0.19/0.56 Evaluation took:
% 0.19/0.56 0.089 seconds of real time
% 0.19/0.56 0.079164 seconds of user run time
% 0.19/0.56 0.009047 seconds of system run time
% 0.19/0.56 0 calls to %EVAL
% 0.19/0.56 0 page faults and
% 0.19/0.56 5,240,928 bytes consed.
% 0.19/0.56 :PROOF-FOUND
% 0.19/0.56 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T02:11:57
% 0.19/0.56 :PROOF-FOUND
% 0.19/0.56 *
%------------------------------------------------------------------------------