TSTP Solution File: SWW629_2 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWW629_2 : TPTP v8.1.0. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 : Thu Jul 21 01:25:30 EDT 2022
% Result : Theorem 0.48s 0.64s
% Output : Refutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 9
% Syntax : Number of formulae : 15 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 104 ( 7 equ)
% Maximal formula atoms : 2 ( 6 avg)
% Number of connectives : 8 ( 5 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of FOOLs : 86 ( 86 fml; 0 var)
% Number arithmetic : 2 ( 0 atm; 2 fun; 0 num; 0 var)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 17 ( 15 usr; 10 prp; 0-3 aty)
% Number of functors : 1 ( 0 usr; 0 con; 2-2 aty)
% Number of variables : 15 ( 0 sgn 15 !; 0 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
tff(59,axiom,
! [X: ty,Y: uni,Z: uni,U: uni] : ( num_occ1(X,Y,infix_plpl(X,Z,U)) = $sum(num_occ1(X,Y,Z),num_occ1(X,Y,U)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',append_Num_Occ) ).
tff(69,axiom,
! [X: ty,Y: uni,Z: uni,U: uni] :
( ~ permut(X,Y,Z)
| ( num_occ1(X,U,Y) = num_occ1(X,U,Z) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',permut_def) ).
tff(71,axiom,
! [X: ty,Y: uni,Z: uni] :
( ( num_occ1(X,'SKOLEMAAAV3.uni'(X,Y,Z),Y) != num_occ1(X,'SKOLEMAAAV3.uni'(X,Y,Z),Z) )
| permut(X,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',permut_def) ).
tff(129,negated_conjecture,
permut(elt,infix_plpl(elt,t2tb('SKOLEMAAAV15.list_elt'),t2tb('SKOLEMAAAV14.list_elt')),t2tb('SKOLEMAAAV11.list_elt')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_mergesort) ).
tff(131,negated_conjecture,
permut(elt,t2tb('SKOLEMAAAV18.list_elt'),t2tb('SKOLEMAAAV15.list_elt')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_mergesort) ).
tff(133,negated_conjecture,
permut(elt,t2tb('SKOLEMAAAV19.list_elt'),t2tb('SKOLEMAAAV14.list_elt')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_mergesort) ).
tff(134,negated_conjecture,
sorted1('SKOLEMAAAV20.list_elt'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_mergesort) ).
tff(135,negated_conjecture,
permut(elt,t2tb('SKOLEMAAAV20.list_elt'),infix_plpl(elt,t2tb('SKOLEMAAAV18.list_elt'),t2tb('SKOLEMAAAV19.list_elt'))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_mergesort) ).
tff(136,negated_conjecture,
( ~ sorted1('SKOLEMAAAV20.list_elt')
| ~ permut(elt,t2tb('SKOLEMAAAV20.list_elt'),t2tb('SKOLEMAAAV11.list_elt')) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_mergesort) ).
tff(137,plain,
~ permut(elt,t2tb('SKOLEMAAAV20.list_elt'),t2tb('SKOLEMAAAV11.list_elt')),
inference('REWRITE',[status(thm)],[136,134]) ).
tff(222,plain,
! [X: uni] : ( num_occ1(elt,X,t2tb('SKOLEMAAAV18.list_elt')) = num_occ1(elt,X,t2tb('SKOLEMAAAV15.list_elt')) ),
inference('HYPERRESOLVE',[status(thm)],[69,131]) ).
tff(223,plain,
! [X: uni] : ( num_occ1(elt,X,t2tb('SKOLEMAAAV19.list_elt')) = num_occ1(elt,X,t2tb('SKOLEMAAAV14.list_elt')) ),
inference('HYPERRESOLVE',[status(thm)],[69,133]) ).
tff(225,plain,
! [X: uni] : ( $sum(num_occ1(elt,X,t2tb('SKOLEMAAAV15.list_elt')),num_occ1(elt,X,t2tb('SKOLEMAAAV14.list_elt'))) = num_occ1(elt,X,t2tb('SKOLEMAAAV11.list_elt')) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[69,129]),59,theory(equality)]) ).
tff(226,plain,
! [X: uni] : ( num_occ1(elt,X,t2tb('SKOLEMAAAV20.list_elt')) = num_occ1(elt,X,t2tb('SKOLEMAAAV11.list_elt')) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[69,135]),225,223,222,59,theory(equality)]) ).
cnf(436,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[71,137]),226,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW629_2 : TPTP v8.1.0. Released v6.1.0.
% 0.00/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jun 5 18:55:30 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-05T18:55:30
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-05T18:55:30
% 0.20/0.52 WARNING: Cannot use equality or equivalence (= ?X.tuple02 tuple03) as rewrite.
% 0.48/0.64
% 0.48/0.64
% 0.48/0.64 #||
% 0.48/0.64 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.48/0.64 % SZS output start Refutation
% See solution above
% 0.48/0.64 ||#
% 0.48/0.64
% 0.48/0.64 ; Summary of computation:
% 0.48/0.64 ; 851 formulas have been input or derived (from 109 formulas).
% 0.48/0.64 ; 436 (51%) were retained. Of these,
% 0.48/0.64 ; 42 (10%) were simplified or subsumed later,
% 0.48/0.64 ; 394 (90%) are still being kept.
% 0.48/0.64 ;
% 0.48/0.64 ; Run time in seconds excluding printing time:
% 0.48/0.64 ; 0.026 15% Read assertion file (1 call)
% 0.48/0.65 ; 0.006 4% Assert (74 calls)
% 0.48/0.65 ; 0.032 19% Process new row (777 calls)
% 0.48/0.65 ; 0.021 12% Resolution (216 calls)
% 0.48/0.65 ; 0.006 4% Paramodulation (108 calls)
% 0.48/0.65 ; 0.000 0% Factoring (8 calls)
% 0.48/0.65 ; 0.003 2% Condensing (153 calls)
% 0.48/0.65 ; 0.005 3% Forward subsumption (153 calls)
% 0.48/0.65 ; 0.005 3% Backward subsumption (140 calls)
% 0.48/0.65 ; 0.000 0% Clause clause subsumption (244 calls)
% 0.48/0.65 ; 0.018 11% Forward simplification (763 calls)
% 0.48/0.65 ; 0.006 4% Backward simplification (428 calls)
% 0.48/0.65 ; 0.010 6% Ordering (1,500 calls)
% 0.48/0.65 ; 0.000 0% Ordering ac (8 calls)
% 0.48/0.65 ; 0.002 1% Sortal reasoning (931 calls)
% 0.48/0.65 ; 0.001 1% Purity testing (1 call)
% 0.48/0.65 ; 0.027 16% Other
% 0.48/0.65 ; 0.168 Total
% 0.48/0.65 ; 0.170 Real time
% 0.48/0.65 ;
% 0.48/0.65 ; Term-hash-array has 1,159 terms in all.
% 0.48/0.65 ; Feature-vector-row-index has 128 entries (128 at peak, 140 added, 12 deleted).
% 0.48/0.65 ; Feature-vector-row-index has 712 nodes (712 at peak, 835 added, 123 deleted).
% 0.48/0.65 ; Retrieved 212 possibly forward subsuming rows in 153 calls.
% 0.48/0.65 ; Retrieved 36 possibly backward subsumed rows in 140 calls.
% 0.48/0.65 ; Path-index has 1,125 entries (1,125 at peak, 1,209 added, 84 deleted).
% 0.48/0.65 ; Path-index has 3,328 nodes (3,328 at peak, 3,443 added, 115 deleted).
% 0.48/0.65 ; Trie-index has 1,125 entries (1,125 at peak, 1,209 added, 84 deleted).
% 0.48/0.65 ; Trie-index has 4,515 nodes (4,515 at peak, 4,946 added, 431 deleted).
% 0.48/0.65 ; Retrieved 2,642 generalization terms in 3,783 calls.
% 0.48/0.65 ; Retrieved 461 instance terms in 319 calls.
% 0.48/0.65 ; Retrieved 7,925 unifiable terms in 1,033 calls.
% 0.48/0.65 ;
% 0.48/0.65 ; The agenda of rows to process has 4 entries:
% 0.48/0.65 ; 2 with value 32 2 with value 47
% 0.48/0.65 ; The agenda of input rows to give has 15 entries:
% 0.48/0.65 ; 1 with value 24 4 with value 29 1 with value 33
% 0.48/0.65 ; 2 with value 26 1 with value 30 1 with value 37
% 0.48/0.65 ; 3 with value 27 1 with value 32 1 with value 44
% 0.48/0.65 ; The agenda of rows to give has 282 entries:
% 0.48/0.65 ; 1 with value (4 5) 6 with value (4 17) 9 with value (4 28)
% 0.48/0.65 ; 2 with value (4 7) 11 with value (4 18) 9 with value (4 29)
% 0.48/0.65 ; 3 with value (4 8) 8 with value (4 19) 12 with value (4 30)
% 0.48/0.65 ; 7 with value (4 9) 17 with value (4 20) 7 with value (4 31)
% 0.48/0.65 ; 2 with value (4 10) 15 with value (4 21) 6 with value (4 32)
% 0.48/0.65 ; 1 with value (4 11) 11 with value (4 22) 12 with value (4 33)
% 0.48/0.65 ; 5 with value (4 12) 15 with value (4 23) 4 with value (4 34)
% 0.48/0.65 ; 15 with value (4 13) 5 with value (4 24) 10 with value (4 35)
% 0.48/0.65 ; 9 with value (4 14) 7 with value (4 25) 8 with value (4 39)
% 0.48/0.65 ; 14 with value (4 15) 9 with value (4 26) 3 with value (4 40)
% 0.48/0.65 ; 8 with value (4 16) 28 with value (4 27) 3 with value (4 41)
% 0.48/0.65 Evaluation took:
% 0.48/0.65 0.171 seconds of real time
% 0.48/0.65 0.156631 seconds of user run time
% 0.48/0.65 0.014254 seconds of system run time
% 0.48/0.65 0 calls to %EVAL
% 0.48/0.65 0 page faults and
% 0.48/0.65 11,004,488 bytes consed.
% 0.48/0.65 :PROOF-FOUND
% 0.48/0.65 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-05T18:55:30
% 0.48/0.65 :PROOF-FOUND
% 0.48/0.65 *
%------------------------------------------------------------------------------