%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET878+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n011.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 05:13:05 EDT 2022
% Result : Theorem 0.18s 0.49s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of clauses : 6 ( 4 unt; 0 nHn; 5 RR)
% Number of literals : 9 ( 4 equ; 5 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 : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 8 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
( X != unordered_pair(Y,Z)
| in(U,X)
| U != Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_tarski) ).
cnf(8,axiom,
( ~ in(X,Y)
| set_intersection2(Y,singleton(X)) = singleton(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l32_zfmisc_1) ).
cnf(11,negated_conjecture,
set_intersection2(singleton('SKOLEMAAAV4'),unordered_pair('SKOLEMAAAV4','SKOLEMAAAV5')) != singleton('SKOLEMAAAV4'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t19_zfmisc_1) ).
cnf(12,plain,
~ in('SKOLEMAAAV4',unordered_pair('SKOLEMAAAV4','SKOLEMAAAV5')),
inference('UR-RESOLVE',[status(thm)],[8,11]) ).
cnf(13,plain,
in(X,unordered_pair(X,Y)),
inference('HYPERRESOLVE',[status(thm)],[3,theory(equality),theory(equality)]) ).
cnf(14,plain,
$false,
inference('REWRITE',[status(thm)],[12,13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET878+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n011.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jul 9 23:32:56 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-07-09T23:32:56
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-07-09T23:32:56
% 0.18/0.47
% 0.18/0.47 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.18/0.47 ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.18/0.47 ; Declaring unordered_pair to be commutative.
% 0.18/0.49 ; Declaring set_intersection2 to be commutative.
% 0.18/0.49
% 0.18/0.49 #||
% 0.18/0.49 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.49 % SZS output start Refutation
% See solution above
% 0.18/0.49 ||#
% 0.18/0.49
% 0.18/0.49 ; Summary of computation:
% 0.18/0.49 ; 29 formulas have been input or derived (from 8 formulas).
% 0.18/0.49 ; 14 (48%) were retained. Of these,
% 0.18/0.49 ; 1 ( 7%) were simplified or subsumed later,
% 0.18/0.49 ; 13 (93%) are still being kept.
% 0.18/0.49 ;
% 0.18/0.49 ; Run time in seconds excluding printing time:
% 0.18/0.49 ; 0.002 7% Read assertion file (1 call)
% 0.18/0.49 ; 0.000 0% Assert (9 calls)
% 0.18/0.49 ; 0.001 4% Process new row (18 calls)
% 0.18/0.49 ; 0.001 4% Resolution (14 calls)
% 0.18/0.49 ; 0.000 0% Paramodulation (7 calls)
% 0.18/0.49 ; 0.000 0% Condensing (8 calls)
% 0.18/0.49 ; 0.000 0% Forward subsumption (8 calls)
% 0.18/0.49 ; 0.001 4% Backward subsumption (7 calls)
% 0.18/0.49 ; 0.000 0% Clause clause subsumption (3 calls)
% 0.18/0.49 ; 0.000 0% Forward simplification (18 calls)
% 0.18/0.49 ; 0.000 0% Backward simplification (14 calls)
% 0.18/0.49 ; 0.000 0% Ordering (11 calls)
% 0.18/0.49 ; 0.001 4% Sortal reasoning (32 calls)
% 0.18/0.49 ; 0.001 4% Purity testing (1 call)
% 0.18/0.49 ; 0.021 75% Other
% 0.18/0.49 ; 0.028 Total
% 0.18/0.49 ; 0.029 Real time
% 0.18/0.49 ;
% 0.18/0.49 ; Term-hash-array has 25 terms in all.
% 0.18/0.49 ; Feature-vector-row-index has 7 entries (7 at peak, 7 added, 0 deleted).
% 0.18/0.49 ; Feature-vector-row-index has 22 nodes (22 at peak, 22 added, 0 deleted).
% 0.18/0.49 ; Retrieved 2 possibly forward subsuming rows in 8 calls.
% 0.18/0.49 ; Retrieved 1 possibly backward subsumed row in 7 calls.
% 0.18/0.49 ; Path-index has 28 entries (29 at peak, 29 added, 1 deleted).
% 0.18/0.49 ; Path-index has 66 nodes (69 at peak, 69 added, 3 deleted).
% 0.18/0.49 ; Trie-index has 28 entries (29 at peak, 29 added, 1 deleted).
% 0.18/0.49 ; Trie-index has 67 nodes (71 at peak, 71 added, 4 deleted).
% 0.18/0.49 ; Retrieved 2 generalization terms in 4 calls.
% 0.18/0.49 ; Retrieved 7 instance terms in 6 calls.
% 0.18/0.49 ; Retrieved 109 unifiable terms in 36 calls.
% 0.18/0.49 ;
% 0.18/0.49 ; The agenda of rows to process has 5 entries:
% 0.18/0.49 ; 1 with value 10 1 with value 13 1 with value 18
% 0.18/0.49 ; 1 with value 11 1 with value 15
% 0.18/0.49 ; The agenda of input rows to give has 4 entries:
% 0.18/0.49 ; 1 with value 19 2 with value 23 1 with value 31
% 0.18/0.49 ; The agenda of rows to give has 1 entry:
% 0.18/0.49 ; 1 with value (4 8)
% 0.18/0.49 Evaluation took:
% 0.18/0.49 0.03 seconds of real time
% 0.18/0.49 0.029473 seconds of user run time
% 0.18/0.49 3.77e-4 seconds of system run time
% 0.18/0.49 0 calls to %EVAL
% 0.18/0.49 0 page faults and
% 0.18/0.49 1,694,816 bytes consed.
% 0.18/0.49 :PROOF-FOUND
% 0.18/0.49 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-09T23:32:56
% 0.18/0.49 :PROOF-FOUND
% 0.18/0.49 *
%------------------------------------------------------------------------------