TSTP Solution File: SET603+3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET603+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n007.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 2.72s 2.89s
% Output : Refutation 2.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 10 ( 5 unt; 3 nHn; 7 RR)
% Number of literals : 19 ( 4 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 14 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ member('SKOLEMAAAU1'(X,Y),X)
| ~ member('SKOLEMAAAU1'(X,Y),Y)
| X = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_equal) ).
cnf(2,axiom,
( member('SKOLEMAAAU1'(X,Y),X)
| member('SKOLEMAAAU1'(X,Y),Y)
| X = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_equal) ).
cnf(3,axiom,
( ~ member(X,difference(Y,Z))
| member(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference_defn) ).
cnf(5,axiom,
( member(X,difference(Y,Z))
| ~ member(X,Y)
| member(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference_defn) ).
cnf(6,axiom,
~ member(X,empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',empty_set_defn) ).
cnf(18,negated_conjecture,
difference('SKOLEMAAAU5',empty_set) != 'SKOLEMAAAU5',
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th74) ).
cnf(30,plain,
( member('SKOLEMAAAU1'(difference(X,Y),Z),Z)
| difference(X,Y) = Z
| member('SKOLEMAAAU1'(difference(X,Y),Z),X) ),
inference('HYPERRESOLVE',[status(thm)],[3,2]) ).
cnf(5056,plain,
member('SKOLEMAAAU1'(difference('SKOLEMAAAU5',empty_set),'SKOLEMAAAU5'),'SKOLEMAAAU5'),
inference('UR-RESOLVE',[status(thm)],[30,18]) ).
cnf(5095,plain,
~ member('SKOLEMAAAU1'(difference('SKOLEMAAAU5',empty_set),'SKOLEMAAAU5'),difference('SKOLEMAAAU5',empty_set)),
inference('UR-RESOLVE',[status(thm)],[1,5056,18]) ).
cnf(5096,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[5,5056,6]),5095]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET603+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n007.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sun Jul 10 14:23:32 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.47 *
% 0.21/0.47 *
% 0.21/0.47 #<PACKAGE "SNARK-USER">
% 0.21/0.47 *
% 0.21/0.47 SNARK-TPTP-OPTIONS
% 0.21/0.47 *
% 0.21/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.47 (USE-FACTORING :POS)
% 0.21/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.47 *
% 0.21/0.47 "."
% 0.21/0.47 *
% 0.21/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T14:23:32
% 0.21/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-07-10T14:23:32
% 2.72/2.89
% 2.72/2.89
% 2.72/2.89 #||
% 2.72/2.89 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.72/2.89 % SZS output start Refutation
% See solution above
% 2.72/2.89 ||#
% 2.72/2.89
% 2.72/2.89 ; Summary of computation:
% 2.72/2.89 ; 28428 formulas have been input or derived (from 757 formulas).
% 2.72/2.89 ; 5096 (18%) were retained. Of these,
% 2.72/2.89 ; 42 ( 1%) were simplified or subsumed later,
% 2.72/2.89 ; 5054 (99%) are still being kept.
% 2.72/2.89 ;
% 2.72/2.89 ; Run time in seconds:
% 2.72/2.89 ; 0.002 0% Read assertion file (1 call)
% 2.72/2.89 ; 0.001 0% Assert (9 calls)
% 2.72/2.89 ; 0.361 15% Process new row (21,862 calls)
% 2.72/2.89 ; 0.717 30% Resolution (1,512 calls)
% 2.72/2.89 ; 0.143 6% Paramodulation (756 calls)
% 2.72/2.89 ; 0.002 0% Factoring (153 calls)
% 2.72/2.89 ; 0.062 3% Condensing (4,609 calls)
% 2.72/2.89 ; 0.233 10% Forward subsumption (4,609 calls)
% 2.72/2.89 ; 0.037 2% Backward subsumption (1,142 calls)
% 2.72/2.89 ; 0.149 6% Clause clause subsumption (45,313 calls)
% 2.72/2.89 ; 0.351 15% Forward simplification (21,760 calls)
% 2.72/2.89 ; 0.049 2% Backward simplification (5,096 calls)
% 2.72/2.89 ; 0.205 9% Ordering (140,034 calls)
% 2.72/2.89 ; 0.000 0% Sortal reasoning (32 calls)
% 2.72/2.89 ; 0.000 0% Purity testing (1 call)
% 2.72/2.89 ; 0.099 4% Other
% 2.72/2.89 ; 2.411 Total
% 2.72/2.89 ; 2.412 Real time
% 2.72/2.89 ;
% 2.72/2.89 ; Term-hash-array has 5,944 terms in all.
% 2.72/2.89 ; Feature-vector-row-index has 1,134 entries (1,134 at peak, 1,142 added, 8 deleted).
% 2.72/2.89 ; Feature-vector-row-index has 3,277 nodes (3,277 at peak, 3,292 added, 15 deleted).
% 2.72/2.89 ; Retrieved 71,423 possibly forward subsuming rows in 4,609 calls.
% 2.72/2.89 ; Retrieved 4,270 possibly backward subsumed rows in 1,142 calls.
% 2.72/2.89 ; Path-index has 5,909 entries (5,909 at peak, 5,951 added, 42 deleted).
% 2.72/2.89 ; Path-index has 2,197 nodes (2,197 at peak, 2,199 added, 2 deleted).
% 2.72/2.89 ; Trie-index has 5,909 entries (5,909 at peak, 5,951 added, 42 deleted).
% 2.74/2.90 ; Trie-index has 22,601 nodes (22,601 at peak, 22,605 added, 4 deleted).
% 2.74/2.90 ; Retrieved 94,542 generalization terms in 100,120 calls.
% 2.74/2.90 ; Retrieved 3,996 instance terms in 3,953 calls.
% 2.74/2.90 ; Retrieved 388,699 unifiable terms in 36,589 calls.
% 2.74/2.90 ;
% 2.74/2.90 ; The agenda of rows to process has 4 entries:
% 2.74/2.90 ; 1 with value 15 2 with value 20 1 with value 25
% 2.74/2.90 ; The agenda of rows to give has 4303 entries:
% 2.74/2.90 ; 1 with value (4 15) 223 with value (4 33) 36 with value (4 43)
% 2.74/2.90 ; 1 with value (4 19) 528 with value (4 34) 54 with value (4 44)
% 2.74/2.90 ; 1 with value (4 20) 332 with value (4 35) 18 with value (4 45)
% 2.74/2.90 ; 1 with value (4 22) 284 with value (4 36) 14 with value (4 46)
% 2.74/2.90 ; 3 with value (4 26) 349 with value (4 37) 21 with value (4 47)
% 2.74/2.90 ; 302 with value (4 28) 182 with value (4 38) 5 with value (4 48)
% 2.74/2.90 ; 218 with value (4 29) 225 with value (4 39) 9 with value (4 49)
% 2.74/2.90 ; 463 with value (4 30) 143 with value (4 40) 3 with value (4 51)
% 2.74/2.90 ; 283 with value (4 31) 88 with value (4 41) 5 with value (4 53)
% 2.74/2.90 ; 438 with value (4 32) 73 with value (4 42)
% 2.74/2.90 Evaluation took:
% 2.74/2.90 2.426 seconds of real time
% 2.74/2.90 2.087394 seconds of user run time
% 2.74/2.90 0.338268 seconds of system run time
% 2.74/2.90 [Run times include 0.133 seconds GC run time.]
% 2.74/2.90 0 calls to %EVAL
% 2.74/2.90 0 page faults and
% 2.74/2.90 188,760,168 bytes consed.
% 2.74/2.90 :PROOF-FOUND
% 2.74/2.90 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T14:23:34
% 2.74/2.90 :PROOF-FOUND
% 2.74/2.90 *
%------------------------------------------------------------------------------