TSTP Solution File: SET872+1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET872+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n020.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 05:13:03 EDT 2022
% Result : Theorem 0.37s 0.55s
% Output : Refutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of clauses : 10 ( 6 unt; 1 nHn; 8 RR)
% Number of literals : 16 ( 5 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 13 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( X != singleton(Y)
| ~ in(Z,X)
| Z = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_tarski) ).
cnf(7,axiom,
( X != unordered_pair(Y,Z)
| in(U,X)
| U != Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_tarski) ).
cnf(12,axiom,
( subset(X,Y)
| in('SKOLEMAAAV3'(X,Y),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
cnf(13,axiom,
( subset(X,Y)
| ~ in('SKOLEMAAAV3'(X,Y),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
cnf(17,negated_conjecture,
~ subset(singleton('SKOLEMAAAV6'),unordered_pair('SKOLEMAAAV6','SKOLEMAAAV7')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_zfmisc_1) ).
cnf(18,plain,
in('SKOLEMAAAV3'(singleton('SKOLEMAAAV6'),unordered_pair('SKOLEMAAAV6','SKOLEMAAAV7')),singleton('SKOLEMAAAV6')),
inference('HYPERRESOLVE',[status(thm)],[17,12]) ).
cnf(19,plain,
~ in('SKOLEMAAAV3'(singleton('SKOLEMAAAV6'),unordered_pair('SKOLEMAAAV6','SKOLEMAAAV7')),unordered_pair('SKOLEMAAAV6','SKOLEMAAAV7')),
inference('UR-RESOLVE',[status(thm)],[13,17]) ).
cnf(21,plain,
in(X,unordered_pair(X,Y)),
inference('HYPERRESOLVE',[status(thm)],[7,theory(equality),theory(equality)]) ).
cnf(178,plain,
'SKOLEMAAAV3'(singleton('SKOLEMAAAV6'),unordered_pair('SKOLEMAAAV6','SKOLEMAAAV7')) = 'SKOLEMAAAV6',
inference('HYPERRESOLVE',[status(thm)],[2,18,theory(equality)]) ).
cnf(179,plain,
$false,
inference('REWRITE',[status(thm)],[19,21,178,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET872+1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n020.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 14:07:28 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 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/sandbox2/benchmark/theBenchmark.p 2022-07-10T14:07:28
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-07-10T14:07:28
% 0.19/0.47
% 0.19/0.48 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.37/0.55 ; Declaring unordered_pair to be commutative.
% 0.37/0.55
% 0.37/0.55 #||
% 0.37/0.55 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/0.55 % SZS output start Refutation
% See solution above
% 0.37/0.55 ||#
% 0.37/0.55
% 0.37/0.55 ; Summary of computation:
% 0.37/0.55 ; 537 formulas have been input or derived (from 36 formulas).
% 0.37/0.55 ; 179 (33%) were retained. Of these,
% 0.37/0.55 ; 2 ( 1%) were simplified or subsumed later,
% 0.37/0.55 ; 177 (99%) are still being kept.
% 0.37/0.55 ;
% 0.37/0.55 ; Run time in seconds:
% 0.37/0.55 ; 0.002 2% Read assertion file (1 call)
% 0.37/0.55 ; 0.001 1% Assert (9 calls)
% 0.37/0.55 ; 0.014 16% Process new row (484 calls)
% 0.37/0.55 ; 0.015 17% Resolution (70 calls)
% 0.37/0.55 ; 0.000 0% Paramodulation (35 calls)
% 0.37/0.55 ; 0.000 0% Factoring (4 calls)
% 0.37/0.55 ; 0.003 3% Condensing (29 calls)
% 0.37/0.55 ; 0.000 0% Forward subsumption (29 calls)
% 0.37/0.55 ; 0.000 0% Backward subsumption (25 calls)
% 0.37/0.55 ; 0.000 0% Clause clause subsumption (14 calls)
% 0.37/0.55 ; 0.021 24% Forward simplification (484 calls)
% 0.37/0.55 ; 0.005 6% Backward simplification (179 calls)
% 0.37/0.55 ; 0.000 0% Ordering (218 calls)
% 0.37/0.55 ; 0.000 0% Sortal reasoning (32 calls)
% 0.37/0.55 ; 0.001 1% Purity testing (1 call)
% 0.37/0.55 ; 0.024 28% Other
% 0.37/0.55 ; 0.086 Total
% 0.37/0.55 ; 0.087 Real time
% 0.37/0.55 ;
% 0.37/0.55 ; Term-hash-array has 337 terms in all.
% 0.37/0.55 ; Feature-vector-row-index has 25 entries (25 at peak, 25 added, 0 deleted).
% 0.37/0.55 ; Feature-vector-row-index has 97 nodes (97 at peak, 97 added, 0 deleted).
% 0.37/0.55 ; Retrieved 10 possibly forward subsuming rows in 29 calls.
% 0.37/0.55 ; Retrieved 5 possibly backward subsumed rows in 25 calls.
% 0.37/0.55 ; Path-index has 339 entries (341 at peak, 341 added, 2 deleted).
% 0.37/0.55 ; Path-index has 338 nodes (344 at peak, 344 added, 6 deleted).
% 0.37/0.55 ; Trie-index has 339 entries (341 at peak, 341 added, 2 deleted).
% 0.37/0.55 ; Trie-index has 930 nodes (939 at peak, 939 added, 9 deleted).
% 0.37/0.55 ; Retrieved 1,218 generalization terms in 447 calls.
% 0.37/0.55 ; Retrieved 277 instance terms in 153 calls.
% 0.37/0.55 ; Retrieved 8,995 unifiable terms in 613 calls.
% 0.37/0.55 ;
% 0.37/0.55 ; The agenda of rows to process has 34 entries:
% 0.37/0.55 ; 3 with value 14 3 with value 23 7 with value 30
% 0.37/0.55 ; 1 with value 20 1 with value 27 8 with value 31
% 0.37/0.55 ; 2 with value 21 2 with value 28 4 with value 32
% 0.37/0.55 ; 1 with value 22 2 with value 29
% 0.37/0.55 ; The agenda of rows to give has 142 entries:
% 0.37/0.55 ; 6 with value (4 13) 9 with value (4 20) 1 with value (4 28)
% 0.37/0.55 ; 8 with value (4 14) 12 with value (4 21) 1 with value (4 29)
% 0.37/0.55 ; 15 with value (4 15) 6 with value (4 22) 1 with value (4 31)
% 0.37/0.55 ; 14 with value (4 16) 7 with value (4 23) 3 with value (4 39)
% 0.37/0.55 ; 12 with value (4 17) 8 with value (4 24) 1 with value (4 43)
% 0.37/0.55 ; 14 with value (4 18) 2 with value (4 25) 1 with value (4 54)
% 0.37/0.55 ; 16 with value (4 19) 5 with value (4 26)
% 0.37/0.55 Evaluation took:
% 0.37/0.55 0.087 seconds of real time
% 0.37/0.55 0.075044 seconds of user run time
% 0.37/0.55 0.012131 seconds of system run time
% 0.37/0.55 0 calls to %EVAL
% 0.37/0.55 0 page faults and
% 0.37/0.55 4,405,920 bytes consed.
% 0.37/0.55 :PROOF-FOUND
% 0.37/0.55 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T14:07:28
% 0.37/0.55 :PROOF-FOUND
% 0.37/0.55 *
%------------------------------------------------------------------------------