TSTP Solution File: SET602+4 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET602+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n012.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 05:10:45 EDT 2022
% Result : Theorem 73.84s 74.01s
% Output : Refutation 73.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of clauses : 11 ( 7 unt; 1 nHn; 9 RR)
% Number of literals : 16 ( 0 equ; 8 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 12 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( subset(X,Y)
| member('SKOLEMAAAV1'(X,Y),X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',subset) ).
cnf(6,axiom,
( equal_set(X,Y)
| ~ subset(X,Y)
| ~ subset(Y,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',equal_set) ).
cnf(15,axiom,
~ member(X,empty_set),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',empty_set) ).
cnf(16,axiom,
( ~ member(X,difference(Y,Z))
| member(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',difference) ).
cnf(17,axiom,
( ~ member(X,difference(Y,Z))
| ~ member(X,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',difference) ).
cnf(30,negated_conjecture,
~ equal_set(difference('SKOLEMAAAV4','SKOLEMAAAV4'),empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thI29) ).
cnf(32,plain,
subset(empty_set,X),
inference('UR-RESOLVE',[status(thm)],[2,15]) ).
cnf(61,plain,
~ subset(difference('SKOLEMAAAV4','SKOLEMAAAV4'),empty_set),
inference('UR-RESOLVE',[status(thm)],[6,32,30]) ).
cnf(304,plain,
member('SKOLEMAAAV1'(difference('SKOLEMAAAV4','SKOLEMAAAV4'),empty_set),difference('SKOLEMAAAV4','SKOLEMAAAV4')),
inference('HYPERRESOLVE',[status(thm)],[61,2]) ).
cnf(150656,plain,
member('SKOLEMAAAV1'(difference('SKOLEMAAAV4','SKOLEMAAAV4'),empty_set),'SKOLEMAAAV4'),
inference('HYPERRESOLVE',[status(thm)],[16,304]) ).
cnf(150657,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[17,304]),150656]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET602+4 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jul 9 20:16:43 EDT 2022
% 0.13/0.34 % 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 2022-07-09T20:16:44
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n012.cluster.edu at 2022-07-09T20:16:44
% 73.84/74.01
% 73.84/74.01
% 73.84/74.01 #||
% 73.84/74.01 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 73.84/74.01 % SZS output start Refutation
% See solution above
% 73.84/74.01 ||#
% 73.84/74.01
% 73.84/74.01 ; Summary of computation:
% 73.84/74.01 ; 290296 formulas have been input or derived (from 1448 formulas).
% 73.84/74.01 ; 150657 (52%) were retained. Of these,
% 73.84/74.01 ; 518 ( 0%) were simplified or subsumed later,
% 73.84/74.01 ; 150139 (100%) are still being kept.
% 73.84/74.01 ;
% 73.84/74.01 ; Run time in seconds excluding printing time:
% 73.84/74.01 ; 0.003 0% Read assertion file (1 call)
% 73.84/74.01 ; 0.001 0% Assert (12 calls)
% 73.84/74.01 ; 19.226 26% Process new row (263,441 calls)
% 73.84/74.01 ; 45.681 62% Resolution (2,894 calls)
% 73.84/74.01 ; 0.244 0% Paramodulation (1,447 calls)
% 73.84/74.01 ; 0.000 0% Factoring (8 calls)
% 73.84/74.01 ; 0.030 0% Condensing (3,480 calls)
% 73.84/74.01 ; 0.358 0% Forward subsumption (3,480 calls)
% 73.84/74.01 ; 0.335 0% Backward subsumption (3,441 calls)
% 73.84/74.01 ; 0.069 0% Clause clause subsumption (22,239 calls)
% 73.84/74.01 ; 2.697 4% Forward simplification (261,954 calls)
% 73.84/74.01 ; 3.633 5% Backward simplification (150,657 calls)
% 73.84/74.01 ; 0.014 0% Ordering (6,609 calls)
% 73.84/74.01 ; 0.001 0% Sortal reasoning (32 calls)
% 73.84/74.01 ; 0.000 0% Purity testing (1 call)
% 73.84/74.01 ; 1.250 2% Other
% 73.84/74.01 ; 73.542 Total
% 73.84/74.01 ; 73.548 Real time
% 73.84/74.02 ;
% 73.84/74.02 ; Term-hash-array has 283,075 terms in all.
% 73.84/74.02 ; Feature-vector-row-index has 3,404 entries (3,404 at peak, 3,441 added, 37 deleted).
% 73.84/74.02 ; Feature-vector-row-index has 9,207 nodes (9,207 at peak, 9,329 added, 122 deleted).
% 73.84/74.02 ; Retrieved 15,812 possibly forward subsuming rows in 3,480 calls.
% 73.84/74.02 ; Retrieved 6,482 possibly backward subsumed rows in 3,441 calls.
% 73.84/74.02 ; Path-index has 282,198 entries (282,198 at peak, 283,079 added, 881 deleted).
% 73.84/74.02 ; Path-index has 123,592 nodes (123,592 at peak, 123,737 added, 145 deleted).
% 73.84/74.02 ; Trie-index has 282,198 entries (282,198 at peak, 283,079 added, 881 deleted).
% 73.84/74.02 ; Trie-index has 801,185 nodes (801,185 at peak, 803,691 added, 2,506 deleted).
% 73.84/74.02 ; Retrieved 181,790 generalization terms in 285,810 calls.
% 73.84/74.03 ; Retrieved 185,348 instance terms in 147,215 calls.
% 73.84/74.03 ; Retrieved 61,792,190 unifiable terms in 45,972 calls.
% 73.84/74.03 ;
% 73.84/74.03 ; The agenda of rows to process has 1143 entries:
% 73.84/74.03 ; 10 with value 14 50 with value 22 83 with value 30
% 73.84/74.03 ; 31 with value 15 92 with value 23 50 with value 31
% 73.84/74.03 ; 50 with value 16 236 with value 24 3 with value 32
% 73.84/74.03 ; 74 with value 17 62 with value 25 4 with value 33
% 73.84/74.03 ; 46 with value 18 26 with value 26 32 with value 34
% 73.84/74.03 ; 49 with value 19 17 with value 27 16 with value 35
% 73.84/74.03 ; 32 with value 20 24 with value 28 2 with value 38
% 73.84/74.03 ; 96 with value 21 58 with value 29
% 73.84/74.03 ; The agenda of rows to give has 148699 entries:
% 73.84/74.03 ; 1 with value (4 12) 21159 with value (4 21) 1372 with value (4 29)
% 73.84/74.03 ; 4 with value (4 13) 29170 with value (4 22) 550 with value (4 30)
% 73.84/74.03 ; 1 with value (4 14) 24557 with value (4 23) 478 with value (4 31)
% 73.84/74.03 ; 2040 with value (4 15) 13682 with value (4 24) 281 with value (4 32)
% 73.84/74.03 ; 2888 with value (4 16) 4298 with value (4 25) 136 with value (4 33)
% 73.84/74.03 ; 5164 with value (4 17) 2166 with value (4 26) 106 with value (4 34)
% 73.84/74.03 ; 8956 with value (4 18) 2065 with value (4 27) 71 with value (4 35)
% 73.84/74.03 ; 12880 with value (4 19) 1758 with value (4 28) 16 with value (4 36)
% 73.84/74.03 ; 14900 with value (4 20)
% 73.84/74.03 Evaluation took:
% 73.84/74.03 73.559 seconds of real time
% 73.84/74.03 70.3133 seconds of user run time
% 73.84/74.03 3.241468 seconds of system run time
% 73.84/74.03 [Run times include 19.91 seconds GC run time.]
% 73.84/74.03 0 calls to %EVAL
% 73.84/74.03 0 page faults and
% 73.84/74.03 2,328,107,624 bytes consed.
% 73.84/74.03 :PROOF-FOUND
% 73.84/74.03 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-09T20:17:57
% 73.84/74.03 :PROOF-FOUND
% 73.84/74.03 *
%------------------------------------------------------------------------------