%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET679+3 : TPTP v8.1.0. Released v2.2.0.
% 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 05:11:29 EDT 2022
% Result : Theorem 0.19s 0.53s
% Output : Refutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of clauses : 14 ( 7 unt; 4 nHn; 11 RR)
% Number of literals : 26 ( 3 equ; 12 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 13 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| ~ member(Y,X)
| member(ordered_pair(Y,Y),identity_relation_of(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
cnf(3,axiom,
( ~ ilf_type(X,set_type)
| ~ member(X,empty_set) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2) ).
cnf(14,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| not_equal(X,Y)
| X = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7) ).
cnf(17,axiom,
( ~ ilf_type(X,set_type)
| empty(X)
| member('SKOLEMAAAV2'(X),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8) ).
cnf(43,axiom,
ilf_type(X,set_type),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22) ).
cnf(44,negated_conjecture,
~ empty('SKOLEMAAAV10'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_46) ).
cnf(45,negated_conjecture,
~ not_equal(identity_relation_of('SKOLEMAAAV10'),empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_46) ).
cnf(46,plain,
( ~ member(X,Y)
| member(ordered_pair(X,X),identity_relation_of(Y)) ),
inference('REWRITE',[status(thm)],[1,43]) ).
cnf(48,plain,
~ member(X,empty_set),
inference('REWRITE',[status(thm)],[3,43]) ).
cnf(57,plain,
( not_equal(X,Y)
| X = Y ),
inference('REWRITE',[status(thm)],[14,43]) ).
cnf(59,plain,
( empty(X)
| member('SKOLEMAAAV2'(X),X) ),
inference('REWRITE',[status(thm)],[17,43]) ).
cnf(81,plain,
identity_relation_of('SKOLEMAAAV10') = empty_set,
inference('HYPERRESOLVE',[status(thm)],[45,57]) ).
cnf(82,plain,
member('SKOLEMAAAV2'('SKOLEMAAAV10'),'SKOLEMAAAV10'),
inference('UR-RESOLVE',[status(thm)],[59,44]) ).
cnf(143,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[46,82]),48,81,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET679+3 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n018.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 16:15:58 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T16:15:58
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-07-10T16:15:58
% 0.19/0.48 WARNING:
% 0.19/0.48 |type| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.53
% 0.19/0.53
% 0.19/0.53 #||
% 0.19/0.53 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.53 % SZS output start Refutation
% See solution above
% 0.37/0.53 ||#
% 0.37/0.53
% 0.37/0.53 ; Summary of computation:
% 0.37/0.53 ; 242 formulas have been input or derived (from 43 formulas).
% 0.37/0.53 ; 143 (59%) were retained. Of these,
% 0.37/0.53 ; 42 (29%) were simplified or subsumed later,
% 0.37/0.53 ; 101 (71%) are still being kept.
% 0.37/0.53 ;
% 0.37/0.53 ; Run time in seconds excluding printing time:
% 0.37/0.53 ; 0.007 10% Read assertion file (1 call)
% 0.37/0.53 ; 0.002 3% Assert (24 calls)
% 0.37/0.53 ; 0.013 19% Process new row (217 calls)
% 0.37/0.53 ; 0.006 9% Resolution (84 calls)
% 0.37/0.53 ; 0.001 1% Paramodulation (42 calls)
% 0.37/0.53 ; 0.000 0% Factoring (6 calls)
% 0.37/0.53 ; 0.003 4% Condensing (134 calls)
% 0.37/0.53 ; 0.006 9% Forward subsumption (134 calls)
% 0.37/0.53 ; 0.002 3% Backward subsumption (113 calls)
% 0.37/0.53 ; 0.000 0% Clause clause subsumption (112 calls)
% 0.37/0.53 ; 0.003 4% Forward simplification (216 calls)
% 0.37/0.53 ; 0.003 4% Backward simplification (143 calls)
% 0.37/0.53 ; 0.000 0% Ordering (255 calls)
% 0.37/0.53 ; 0.000 0% Sortal reasoning (32 calls)
% 0.37/0.53 ; 0.000 0% Purity testing (1 call)
% 0.37/0.53 ; 0.022 32% Other
% 0.37/0.53 ; 0.068 Total
% 0.37/0.53 ; 0.070 Real time
% 0.37/0.53 ;
% 0.37/0.53 ; Term-hash-array has 286 terms in all.
% 0.37/0.53 ; Feature-vector-row-index has 72 entries (72 at peak, 113 added, 41 deleted).
% 0.37/0.53 ; Feature-vector-row-index has 299 nodes (299 at peak, 477 added, 178 deleted).
% 0.37/0.53 ; Retrieved 107 possibly forward subsuming rows in 134 calls.
% 0.37/0.53 ; Retrieved 24 possibly backward subsumed rows in 113 calls.
% 0.37/0.53 ; Path-index has 269 entries (269 at peak, 334 added, 65 deleted).
% 0.37/0.53 ; Path-index has 730 nodes (730 at peak, 800 added, 70 deleted).
% 0.37/0.53 ; Trie-index has 269 entries (269 at peak, 334 added, 65 deleted).
% 0.37/0.53 ; Trie-index has 816 nodes (816 at peak, 958 added, 142 deleted).
% 0.37/0.53 ; Retrieved 131 generalization terms in 403 calls.
% 0.37/0.53 ; Retrieved 45 instance terms in 29 calls.
% 0.37/0.53 ; Retrieved 1,703 unifiable terms in 273 calls.
% 0.37/0.53 ;
% 0.37/0.53 ; The agenda of rows to give has 59 entries:
% 0.37/0.53 ; 1 with value (4 6) 2 with value (4 15) 2 with value (4 27)
% 0.37/0.53 ; 2 with value (4 7) 3 with value (4 18) 4 with value (4 30)
% 0.37/0.53 ; 3 with value (4 8) 1 with value (4 19) 2 with value (4 31)
% 0.37/0.53 ; 3 with value (4 9) 1 with value (4 20) 4 with value (4 35)
% 0.37/0.53 ; 4 with value (4 10) 1 with value (4 21) 2 with value (4 36)
% 0.37/0.53 ; 2 with value (4 11) 4 with value (4 23) 4 with value (4 38)
% 0.37/0.53 ; 2 with value (4 12) 4 with value (4 25) 2 with value (4 41)
% 0.37/0.53 ; 1 with value (4 14) 1 with value (4 26) 4 with value (4 49)
% 0.37/0.53 Evaluation took:
% 0.37/0.53 0.071 seconds of real time
% 0.37/0.53 0.059697 seconds of user run time
% 0.37/0.53 0.010996 seconds of system run time
% 0.37/0.53 0 calls to %EVAL
% 0.37/0.53 0 page faults and
% 0.37/0.53 4,188,576 bytes consed.
% 0.37/0.53 :PROOF-FOUND
% 0.37/0.53 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T16:15:58
% 0.37/0.53 :PROOF-FOUND
% 0.37/0.53 *
%------------------------------------------------------------------------------