TSTP Solution File: SET810+4 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET810+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 05:12:18 EDT 2022
% Result : Theorem 0.37s 0.57s
% Output : Refutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 9
% Syntax : Number of clauses : 16 ( 10 unt; 0 nHn; 16 RR)
% Number of literals : 27 ( 0 equ; 12 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 14 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ subset(X,Y)
| ~ member(Z,X)
| member(Z,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',subset) ).
cnf(31,axiom,
( ~ member(X,on)
| strict_well_order(member_predicate,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+4.ax',ordinal_number) ).
cnf(32,axiom,
( ~ member(X,on)
| ~ member(Y,X)
| subset(Y,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+4.ax',ordinal_number) ).
cnf(35,axiom,
( ~ strict_well_order(X,Y)
| strict_order(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+4.ax',strict_well_order) ).
cnf(46,axiom,
( apply(member_predicate,X,Y)
| ~ member(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+4.ax',rel_member) ).
cnf(47,axiom,
( ~ strict_order(X,Y)
| ~ member(Z,Y)
| ~ member(U,Y)
| ~ apply(X,Z,U)
| ~ apply(X,U,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+4.ax',strict_order) ).
cnf(79,negated_conjecture,
member('SKOLEMAAAU14',on),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thV3) ).
cnf(81,negated_conjecture,
member('SKOLEMAAAU14','SKOLEMAAAU15'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thV3) ).
cnf(82,negated_conjecture,
member('SKOLEMAAAU15','SKOLEMAAAU14'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thV3) ).
cnf(85,plain,
strict_well_order(member_predicate,'SKOLEMAAAU14'),
inference('HYPERRESOLVE',[status(thm)],[31,79]) ).
cnf(89,plain,
apply(member_predicate,'SKOLEMAAAU14','SKOLEMAAAU15'),
inference('HYPERRESOLVE',[status(thm)],[46,81]) ).
cnf(90,plain,
apply(member_predicate,'SKOLEMAAAU15','SKOLEMAAAU14'),
inference('HYPERRESOLVE',[status(thm)],[46,82]) ).
cnf(121,plain,
subset('SKOLEMAAAU15','SKOLEMAAAU14'),
inference('HYPERRESOLVE',[status(thm)],[32,79,82]) ).
cnf(215,plain,
strict_order(member_predicate,'SKOLEMAAAU14'),
inference('HYPERRESOLVE',[status(thm)],[35,85]) ).
cnf(241,plain,
member('SKOLEMAAAU14','SKOLEMAAAU14'),
inference('HYPERRESOLVE',[status(thm)],[1,121,81]) ).
cnf(271,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[47,215,82,89,90]),241]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET810+4 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n024.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun Jul 10 07:15:13 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T07:15:14
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-07-10T07:15:14
% 0.37/0.57
% 0.37/0.57
% 0.37/0.57 #||
% 0.37/0.57 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/0.57 % SZS output start Refutation
% See solution above
% 0.37/0.57 ||#
% 0.37/0.57
% 0.37/0.57 ; Summary of computation:
% 0.37/0.57 ; 393 formulas have been input or derived (from 101 formulas).
% 0.37/0.57 ; 271 (69%) were retained. Of these,
% 0.37/0.57 ; 6 ( 2%) were simplified or subsumed later,
% 0.37/0.57 ; 265 (98%) are still being kept.
% 0.37/0.57 ;
% 0.37/0.57 ; Run time in seconds excluding printing time:
% 0.37/0.57 ; 0.007 6% Read assertion file (1 call)
% 0.37/0.57 ; 0.001 1% Assert (20 calls)
% 0.37/0.57 ; 0.017 16% Process new row (364 calls)
% 0.37/0.57 ; 0.028 26% Resolution (200 calls)
% 0.37/0.57 ; 0.003 3% Paramodulation (100 calls)
% 0.37/0.57 ; 0.000 0% Factoring (22 calls)
% 0.37/0.57 ; 0.004 4% Condensing (195 calls)
% 0.37/0.57 ; 0.008 7% Forward subsumption (195 calls)
% 0.37/0.57 ; 0.006 6% Backward subsumption (176 calls)
% 0.37/0.57 ; 0.001 1% Clause clause subsumption (136 calls)
% 0.37/0.57 ; 0.004 4% Forward simplification (364 calls)
% 0.37/0.57 ; 0.005 5% Backward simplification (271 calls)
% 0.37/0.57 ; 0.001 1% Ordering (303 calls)
% 0.37/0.57 ; 0.000 0% Sortal reasoning (32 calls)
% 0.37/0.57 ; 0.000 0% Purity testing (1 call)
% 0.37/0.57 ; 0.023 21% Other
% 0.37/0.57 ; 0.108 Total
% 0.37/0.57 ; 0.110 Real time
% 0.37/0.57 ;
% 0.37/0.57 ; Term-hash-array has 442 terms in all.
% 0.37/0.57 ; Feature-vector-row-index has 170 entries (170 at peak, 176 added, 6 deleted).
% 0.37/0.57 ; Feature-vector-row-index has 509 nodes (509 at peak, 535 added, 26 deleted).
% 0.37/0.57 ; Retrieved 149 possibly forward subsuming rows in 195 calls.
% 0.37/0.57 ; Retrieved 28 possibly backward subsumed rows in 176 calls.
% 0.37/0.57 ; Path-index has 439 entries (439 at peak, 447 added, 8 deleted).
% 0.37/0.57 ; Path-index has 819 nodes (819 at peak, 819 added, 0 deleted).
% 0.37/0.57 ; Trie-index has 439 entries (439 at peak, 447 added, 8 deleted).
% 0.37/0.57 ; Trie-index has 914 nodes (914 at peak, 926 added, 12 deleted).
% 0.37/0.57 ; Retrieved 77 generalization terms in 547 calls.
% 0.37/0.57 ; Retrieved 98 instance terms in 94 calls.
% 0.37/0.57 ; Retrieved 41,250 unifiable terms in 2,124 calls.
% 0.37/0.57 ;
% 0.37/0.57 ; The agenda of rows to process has 3 entries:
% 0.37/0.57 ; 1 with value 8 1 with value 14 1 with value 16
% 0.37/0.57 ; The agenda of rows to give has 164 entries:
% 0.37/0.57 ; 13 with value (4 6) 8 with value (4 15) 4 with value (4 23)
% 0.37/0.57 ; 7 with value (4 7) 9 with value (4 16) 5 with value (4 24)
% 0.37/0.57 ; 36 with value (4 8) 2 with value (4 17) 1 with value (4 25)
% 0.37/0.57 ; 4 with value (4 9) 6 with value (4 18) 8 with value (4 26)
% 0.37/0.57 ; 11 with value (4 10) 1 with value (4 19) 1 with value (4 27)
% 0.37/0.57 ; 8 with value (4 12) 3 with value (4 20) 7 with value (4 28)
% 0.37/0.57 ; 4 with value (4 13) 13 with value (4 21) 2 with value (4 30)
% 0.37/0.57 ; 10 with value (4 14) 1 with value (4 22)
% 0.37/0.57 Evaluation took:
% 0.37/0.57 0.11 seconds of real time
% 0.37/0.57 0.103114 seconds of user run time
% 0.37/0.57 0.007141 seconds of system run time
% 0.37/0.57 0 calls to %EVAL
% 0.37/0.57 0 page faults and
% 0.37/0.57 5,883,736 bytes consed.
% 0.37/0.57 :PROOF-FOUND
% 0.37/0.57 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T07:15:14
% 0.37/0.57 :PROOF-FOUND
% 0.37/0.57 *
%------------------------------------------------------------------------------