TSTP Solution File: SET766+4 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET766+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n019.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 05:12:01 EDT 2022
% Result : Theorem 0.20s 0.56s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 7 ( 5 unt; 0 nHn; 7 RR)
% Number of literals : 11 ( 0 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-3 aty)
% Number of variables : 7 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(57,axiom,
( ~ equivalence(X,Y)
| ~ member(Z,Y)
| apply(X,Z,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+2.ax',equivalence) ).
cnf(110,axiom,
( member(X,equivalence_class(Y,Z,U))
| ~ member(X,Z)
| ~ apply(U,Y,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+2.ax',equivalence_class) ).
cnf(125,negated_conjecture,
equivalence('SKOLEMAAAV22','SKOLEMAAAV21'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thIII02) ).
cnf(126,negated_conjecture,
member('SKOLEMAAAV23','SKOLEMAAAV21'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thIII02) ).
cnf(127,negated_conjecture,
~ member('SKOLEMAAAV23',equivalence_class('SKOLEMAAAV23','SKOLEMAAAV21','SKOLEMAAAV22')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thIII02) ).
cnf(188,plain,
apply('SKOLEMAAAV22','SKOLEMAAAV23','SKOLEMAAAV23'),
inference('HYPERRESOLVE',[status(thm)],[57,125,126]) ).
cnf(242,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[110,127,126]),188]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET766+4 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n019.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
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sun Jul 10 08:00:23 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T08:00:23
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-07-10T08:00:23
% 0.20/0.56
% 0.20/0.56
% 0.20/0.56 #||
% 0.20/0.56 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.56 % SZS output start Refutation
% See solution above
% 0.20/0.56 ||#
% 0.20/0.56
% 0.20/0.56 ; Summary of computation:
% 0.20/0.56 ; 252 formulas have been input or derived (from 44 formulas).
% 0.20/0.56 ; 242 (96%) were retained. Of these,
% 0.20/0.56 ; 242 (100%) are still being kept.
% 0.20/0.56 ;
% 0.20/0.56 ; Run time in seconds:
% 0.20/0.56 ; 0.006 7% Read assertion file (1 call)
% 0.20/0.56 ; 0.004 5% Assert (17 calls)
% 0.20/0.56 ; 0.023 28% Process new row (245 calls)
% 0.20/0.56 ; 0.005 6% Resolution (86 calls)
% 0.20/0.56 ; 0.000 0% Paramodulation (43 calls)
% 0.20/0.56 ; 0.000 0% Factoring (4 calls)
% 0.20/0.56 ; 0.002 2% Condensing (204 calls)
% 0.20/0.56 ; 0.007 9% Forward subsumption (204 calls)
% 0.20/0.56 ; 0.003 4% Backward subsumption (204 calls)
% 0.20/0.56 ; 0.001 1% Clause clause subsumption (274 calls)
% 0.20/0.56 ; 0.003 4% Forward simplification (245 calls)
% 0.20/0.56 ; 0.000 0% Backward simplification (242 calls)
% 0.20/0.56 ; 0.001 1% Ordering (363 calls)
% 0.20/0.56 ; 0.001 1% Sortal reasoning (32 calls)
% 0.20/0.56 ; 0.001 1% Purity testing (1 call)
% 0.20/0.56 ; 0.024 30% Other
% 0.20/0.56 ; 0.081 Total
% 0.20/0.56 ; 0.082 Real time
% 0.20/0.56 ;
% 0.20/0.56 ; Term-hash-array has 386 terms in all.
% 0.20/0.56 ; Feature-vector-row-index has 204 entries (204 at peak, 204 added, 0 deleted).
% 0.20/0.56 ; Feature-vector-row-index has 550 nodes (550 at peak, 550 added, 0 deleted).
% 0.20/0.56 ; Retrieved 265 possibly forward subsuming rows in 204 calls.
% 0.20/0.56 ; Retrieved 77 possibly backward subsumed rows in 204 calls.
% 0.20/0.56 ; Path-index has 390 entries (390 at peak, 390 added, 0 deleted).
% 0.20/0.56 ; Path-index has 1,160 nodes (1,160 at peak, 1,160 added, 0 deleted).
% 0.20/0.56 ; Trie-index has 390 entries (390 at peak, 390 added, 0 deleted).
% 0.20/0.56 ; Trie-index has 1,001 nodes (1,001 at peak, 1,001 added, 0 deleted).
% 0.20/0.56 ; Retrieved 6 generalization terms in 412 calls.
% 0.20/0.56 ; Retrieved 42 instance terms in 37 calls.
% 0.20/0.56 ; Retrieved 4,853 unifiable terms in 204 calls.
% 0.20/0.56 ;
% 0.20/0.56 ; The agenda of input rows to give has 84 entries:
% 0.20/0.56 ; 3 with value 18 8 with value 24 6 with value 29
% 0.20/0.56 ; 6 with value 21 12 with value 25 20 with value 31
% 0.20/0.56 ; 1 with value 22 22 with value 28 6 with value 34
% 0.20/0.56 ; The agenda of rows to give has 114 entries:
% 0.20/0.56 ; 6 with value (4 5) 4 with value (4 15) 6 with value (4 23)
% 0.20/0.56 ; 1 with value (4 6) 9 with value (4 16) 5 with value (4 24)
% 0.20/0.56 ; 3 with value (4 7) 1 with value (4 17) 4 with value (4 25)
% 0.20/0.56 ; 13 with value (4 8) 9 with value (4 18) 1 with value (4 26)
% 0.20/0.56 ; 2 with value (4 9) 5 with value (4 19) 1 with value (4 27)
% 0.20/0.56 ; 8 with value (4 12) 5 with value (4 20) 4 with value (4 28)
% 0.20/0.56 ; 3 with value (4 13) 6 with value (4 21) 2 with value (4 30)
% 0.20/0.56 ; 9 with value (4 14) 7 with value (4 22)
% 0.20/0.56 Evaluation took:
% 0.20/0.56 0.083 seconds of real time
% 0.20/0.56 0.067584 seconds of user run time
% 0.20/0.56 0.014913 seconds of system run time
% 0.20/0.56 0 calls to %EVAL
% 0.20/0.56 0 page faults and
% 0.20/0.56 4,487,584 bytes consed.
% 0.20/0.56 :PROOF-FOUND
% 0.20/0.56 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T08:00:23
% 0.20/0.56 :PROOF-FOUND
% 0.20/0.56 *
%------------------------------------------------------------------------------