TSTP Solution File: SET974+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET974+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n028.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 05:13:46 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of clauses : 16 ( 8 unt; 4 nHn; 13 RR)
% Number of literals : 24 ( 1 equ; 8 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-5 aty)
% Number of variables : 20 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(4,axiom,
set_intersection2(X,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_k3_xboole_0) ).
cnf(8,axiom,
( ~ in(X,set_intersection2(cartesian_product2(Y,Z),cartesian_product2(U,V)))
| in('SKOLEMAAAV3'(X,Y,U,Z,V),set_intersection2(Y,U)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t104_zfmisc_1) ).
cnf(9,axiom,
( ~ in(X,set_intersection2(cartesian_product2(Y,Z),cartesian_product2(U,V)))
| in('SKOLEMAAAV4'(X,Y,U,Z,V),set_intersection2(Z,V)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t104_zfmisc_1) ).
cnf(10,negated_conjecture,
( disjoint('SKOLEMAAAV5','SKOLEMAAAV6')
| disjoint('SKOLEMAAAV7','SKOLEMAAAV8') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t127_zfmisc_1) ).
cnf(11,negated_conjecture,
~ disjoint(cartesian_product2('SKOLEMAAAV5','SKOLEMAAAV7'),cartesian_product2('SKOLEMAAAV6','SKOLEMAAAV8')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t127_zfmisc_1) ).
cnf(12,axiom,
( disjoint(X,Y)
| in('SKOLEMAAAV9'(X,Y),set_intersection2(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_xboole_0) ).
cnf(13,axiom,
( ~ in(X,set_intersection2(Y,Z))
| ~ disjoint(Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_xboole_0) ).
cnf(14,plain,
( ~ in(X,Y)
| ~ disjoint(Y,Y) ),
inference('PARAMODULATE',[status(thm)],[13,4,theory(equality)]) ).
cnf(17,plain,
( disjoint(X,X)
| in('SKOLEMAAAV9'(X,X),X) ),
inference('PARAMODULATE',[status(thm)],[12,4,theory(equality)]) ).
cnf(18,plain,
in('SKOLEMAAAV9'(cartesian_product2('SKOLEMAAAV5','SKOLEMAAAV7'),cartesian_product2('SKOLEMAAAV6','SKOLEMAAAV8')),set_intersection2(cartesian_product2('SKOLEMAAAV5','SKOLEMAAAV7'),cartesian_product2('SKOLEMAAAV6','SKOLEMAAAV8'))),
inference('UR-RESOLVE',[status(thm)],[12,11]) ).
cnf(29,plain,
( disjoint(set_intersection2('SKOLEMAAAV7','SKOLEMAAAV8'),set_intersection2('SKOLEMAAAV7','SKOLEMAAAV8'))
| disjoint('SKOLEMAAAV5','SKOLEMAAAV6') ),
inference('HYPERRESOLVE',[status(thm)],[13,17,10]) ).
cnf(38,plain,
in('SKOLEMAAAV4'('SKOLEMAAAV9'(cartesian_product2('SKOLEMAAAV5','SKOLEMAAAV7'),cartesian_product2('SKOLEMAAAV6','SKOLEMAAAV8')),'SKOLEMAAAV5','SKOLEMAAAV6','SKOLEMAAAV7','SKOLEMAAAV8'),set_intersection2('SKOLEMAAAV7','SKOLEMAAAV8')),
inference('HYPERRESOLVE',[status(thm)],[9,18]) ).
cnf(40,plain,
in('SKOLEMAAAV3'('SKOLEMAAAV9'(cartesian_product2('SKOLEMAAAV5','SKOLEMAAAV7'),cartesian_product2('SKOLEMAAAV6','SKOLEMAAAV8')),'SKOLEMAAAV5','SKOLEMAAAV6','SKOLEMAAAV7','SKOLEMAAAV8'),set_intersection2('SKOLEMAAAV5','SKOLEMAAAV6')),
inference('HYPERRESOLVE',[status(thm)],[8,18]) ).
cnf(57,plain,
disjoint('SKOLEMAAAV5','SKOLEMAAAV6'),
inference('HYPERRESOLVE',[status(thm)],[14,38,29]) ).
cnf(61,plain,
~ in(X,set_intersection2('SKOLEMAAAV5','SKOLEMAAAV6')),
inference('UR-RESOLVE',[status(thm)],[13,57]) ).
cnf(62,plain,
$false,
inference('REWRITE',[status(thm)],[40,61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET974+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n028.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 15:11:42 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 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/sandbox/benchmark/theBenchmark.p 2022-07-10T15:11:42
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-07-10T15:11:42
% 0.19/0.48
% 0.19/0.48 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.19/0.48 ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.19/0.48 ; Recognized commutativity assertion (OR (NOT (|disjoint| ?X ?Y)) (|disjoint| ?Y ?X)).
% 0.19/0.48 ; Declaring unordered_pair to be commutative.
% 0.19/0.48 ; Declaring set_intersection2 to be commutative.
% 0.19/0.51 ; Declaring disjoint to be commutative.
% 0.19/0.51
% 0.19/0.51 #||
% 0.19/0.51 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.51 % SZS output start Refutation
% See solution above
% 0.19/0.51 ||#
% 0.19/0.51
% 0.19/0.51 ; Summary of computation:
% 0.19/0.51 ; 117 formulas have been input or derived (from 28 formulas).
% 0.19/0.51 ; 62 (53%) were retained. Of these,
% 0.19/0.51 ; 6 (10%) were simplified or subsumed later,
% 0.19/0.51 ; 56 (90%) are still being kept.
% 0.19/0.51 ;
% 0.19/0.51 ; Run time in seconds excluding printing time:
% 0.19/0.51 ; 0.003 7% Read assertion file (1 call)
% 0.19/0.51 ; 0.001 2% Assert (12 calls)
% 0.19/0.51 ; 0.007 15% Process new row (93 calls)
% 0.19/0.51 ; 0.003 7% Resolution (54 calls)
% 0.19/0.51 ; 0.003 7% Paramodulation (27 calls)
% 0.19/0.51 ; 0.000 0% Factoring (4 calls)
% 0.19/0.51 ; 0.002 4% Condensing (28 calls)
% 0.19/0.51 ; 0.001 2% Forward subsumption (28 calls)
% 0.19/0.51 ; 0.000 0% Backward subsumption (24 calls)
% 0.19/0.51 ; 0.000 0% Clause clause subsumption (16 calls)
% 0.19/0.51 ; 0.002 4% Forward simplification (93 calls)
% 0.19/0.51 ; 0.000 0% Backward simplification (62 calls)
% 0.19/0.51 ; 0.002 4% Ordering (79 calls)
% 0.19/0.51 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.51 ; 0.000 0% Purity testing (1 call)
% 0.19/0.51 ; 0.022 48% Other
% 0.19/0.51 ; 0.046 Total
% 0.19/0.51 ; 0.049 Real time
% 0.19/0.51 ;
% 0.19/0.51 ; Term-hash-array has 151 terms in all.
% 0.19/0.51 ; Feature-vector-row-index has 22 entries (24 at peak, 24 added, 2 deleted).
% 0.19/0.51 ; Feature-vector-row-index has 79 nodes (95 at peak, 95 added, 16 deleted).
% 0.19/0.51 ; Retrieved 7 possibly forward subsuming rows in 28 calls.
% 0.19/0.51 ; Retrieved 9 possibly backward subsumed rows in 24 calls.
% 0.19/0.51 ; Path-index has 153 entries (157 at peak, 159 added, 6 deleted).
% 0.19/0.51 ; Path-index has 873 nodes (889 at peak, 893 added, 20 deleted).
% 0.19/0.51 ; Trie-index has 153 entries (157 at peak, 159 added, 6 deleted).
% 0.19/0.51 ; Trie-index has 1,150 nodes (1,188 at peak, 1,195 added, 45 deleted).
% 0.19/0.51 ; Retrieved 64 generalization terms in 178 calls.
% 0.19/0.51 ; Retrieved 41 instance terms in 37 calls.
% 0.19/0.51 ; Retrieved 468 unifiable terms in 233 calls.
% 0.19/0.51 ;
% 0.19/0.51 ; The agenda of rows to process has 1 entry:
% 0.19/0.51 ; 1 with value 13
% 0.19/0.51 ; The agenda of rows to give has 30 entries:
% 0.19/0.51 ; 1 with value (4 7) 2 with value (4 26) 1 with value (4 36)
% 0.19/0.51 ; 1 with value (4 11) 2 with value (4 29) 4 with value (4 40)
% 0.19/0.51 ; 1 with value (4 12) 5 with value (4 30) 2 with value (4 48)
% 0.19/0.51 ; 3 with value (4 22) 2 with value (4 34) 2 with value (4 49)
% 0.19/0.51 ; 1 with value (4 23) 1 with value (4 35) 1 with value (4 83)
% 0.19/0.51 ; 1 with value (4 25)
% 0.19/0.51 Evaluation took:
% 0.19/0.51 0.049 seconds of real time
% 0.19/0.51 0.039239 seconds of user run time
% 0.19/0.51 0.010064 seconds of system run time
% 0.19/0.51 0 calls to %EVAL
% 0.19/0.51 0 page faults and
% 0.19/0.51 3,566,296 bytes consed.
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T15:11:42
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 *
%------------------------------------------------------------------------------