TSTP Solution File: DAT033_1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : DAT033_1 : TPTP v8.1.0. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n012.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 : Sat Jul 16 01:27:17 EDT 2022
% Result : Theorem 0.86s 1.05s
% Output : Refutation 0.86s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 'CODE-FOR-$$SUM')
% Comments :
%------------------------------------------------------------------------------
tff(29,axiom,
! [X: $int,Y: collection] :
( ~ in(X,Y)
| ( count(add(X,Y)) = count(Y) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/DAT002=1.ax',ax4) ).
tff(30,axiom,
! [X: $int,Y: collection] :
( in(X,Y)
| ( count(add(X,Y)) != count(Y) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/DAT002=1.ax',ax4) ).
tff(31,axiom,
! [X: $int,Y: collection] :
( ~ in(X,Y)
| ( count(remove(X,Y)) = $difference(count(Y),1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/DAT002=1.ax',ax5) ).
tff(32,plain,
! [X: $int,Y: collection] :
( ~ in(X,Y)
| ( count(remove(X,Y)) = $sum(-1,count(Y)) ) ),
inference('REWRITE',[status(thm)],[31,'CODE-FOR-$$SUM','CODE-FOR-$$PRODUCT','CODE-FOR-$$UMINUS','CODE-FOR-$$DIFFERENCE']) ).
tff(35,axiom,
! [X: $int,Y: collection] :
( in(X,Y)
| ( count(remove(X,Y)) = count(Y) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/DAT002=1.ax',ax6) ).
tff(38,negated_conjecture,
count(add(5,'SKOLEMAAAU1.collection')) = count(add(3,'SKOLEMAAAU1.collection')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
tff(39,negated_conjecture,
count(remove(5,'SKOLEMAAAU1.collection')) != count(remove(3,'SKOLEMAAAU1.collection')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
tff(48,plain,
( in(5,'SKOLEMAAAU1.collection')
| ( count(add(3,'SKOLEMAAAU1.collection')) != count('SKOLEMAAAU1.collection') ) ),
inference('PARAMODULATE',[status(thm)],[30,38,theory(equality)]) ).
tff(55,plain,
! [X: $int,Y: collection] :
( ( count(remove(X,Y)) = count(Y) )
| ( count(add(X,Y)) = count(Y) ) ),
inference('HYPERRESOLVE',[status(thm)],[29,35]) ).
tff(588,plain,
( ( count(add(3,'SKOLEMAAAU1.collection')) = count('SKOLEMAAAU1.collection') )
| ( count('SKOLEMAAAU1.collection') != count(remove(3,'SKOLEMAAAU1.collection')) ) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[39,55,theory(equality)]),38,theory(equality)]) ).
tff(1010,plain,
count(add(3,'SKOLEMAAAU1.collection')) = count('SKOLEMAAAU1.collection'),
inference('HYPERRESOLVE',[status(thm)],[588,55]) ).
tff(1013,plain,
in(5,'SKOLEMAAAU1.collection'),
inference('REWRITE',[status(thm)],[48,1010,theory(equality)]) ).
tff(1044,plain,
count(remove(5,'SKOLEMAAAU1.collection')) = $sum(-1,count('SKOLEMAAAU1.collection')),
inference('HYPERRESOLVE',[status(thm)],[32,1013]) ).
tff(1045,plain,
$sum(-1,count('SKOLEMAAAU1.collection')) != count(remove(3,'SKOLEMAAAU1.collection')),
inference('REWRITE',[status(thm)],[39,1044,theory(equality)]) ).
tff(1154,plain,
~ in(3,'SKOLEMAAAU1.collection'),
inference('UR-RESOLVE',[status(thm)],[32,1045]) ).
cnf(1250,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[30,1154]),1010,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : DAT033_1 : TPTP v8.1.0. Released v5.0.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n012.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 : Fri Jul 1 20:06:32 EDT 2022
% 0.12/0.34 % 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 2022-07-01T20:06:32
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n012.cluster.edu at 2022-07-01T20:06:32
% 0.86/1.05
% 0.86/1.05
% 0.86/1.05 #||
% 0.86/1.05 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.86/1.05 % SZS output start Refutation
% See solution above
% 0.86/1.05 ||#
% 0.86/1.05
% 0.86/1.05 ; Summary of computation:
% 0.86/1.05 ; 4287 formulas have been input or derived (from 176 formulas).
% 0.86/1.05 ; 1250 (29%) were retained. Of these,
% 0.86/1.05 ; 348 (28%) were simplified or subsumed later,
% 0.86/1.05 ; 902 (72%) are still being kept.
% 0.86/1.05 ;
% 0.86/1.05 ; Run time in seconds excluding printing time:
% 0.86/1.05 ; 0.005 1% Read assertion file (1 call)
% 0.86/1.05 ; 0.001 0% Assert (13 calls)
% 0.86/1.05 ; 0.172 30% Process new row (3,974 calls)
% 0.86/1.05 ; 0.072 12% Resolution (350 calls)
% 0.86/1.05 ; 0.025 4% Paramodulation (175 calls)
% 0.86/1.05 ; 0.000 0% Factoring (25 calls)
% 0.86/1.05 ; 0.008 1% Condensing (670 calls)
% 0.86/1.05 ; 0.047 8% Forward subsumption (670 calls)
% 0.86/1.05 ; 0.013 2% Backward subsumption (560 calls)
% 0.86/1.05 ; 0.005 1% Clause clause subsumption (1,115 calls)
% 0.86/1.05 ; 0.133 23% Forward simplification (3,952 calls)
% 0.86/1.05 ; 0.034 6% Backward simplification (1,246 calls)
% 0.86/1.05 ; 0.008 1% Ordering (2,260 calls)
% 0.86/1.05 ; 0.000 0% Ordering ac (8 calls)
% 0.86/1.05 ; 0.014 2% Sortal reasoning (11,172 calls)
% 0.86/1.05 ; 0.000 0% Purity testing (1 call)
% 0.86/1.05 ; 0.044 8% Other
% 0.86/1.05 ; 0.581 Total
% 0.86/1.05 ; 0.586 Real time
% 0.86/1.05 ;
% 0.86/1.05 ; Term-hash-array has 3,272 terms in all.
% 0.86/1.05 ; Feature-vector-row-index has 445 entries (496 at peak, 560 added, 115 deleted).
% 0.86/1.05 ; Feature-vector-row-index has 3,496 nodes (4,375 at peak, 5,475 added, 1,979 deleted).
% 0.86/1.05 ; Retrieved 1,704 possibly forward subsuming rows in 670 calls.
% 0.86/1.05 ; Retrieved 86 possibly backward subsumed rows in 560 calls.
% 0.86/1.05 ; Path-index has 2,565 entries (2,656 at peak, 3,515 added, 950 deleted).
% 0.86/1.05 ; Path-index has 4,297 nodes (4,419 at peak, 5,194 added, 897 deleted).
% 0.86/1.05 ; Trie-index has 2,565 entries (2,656 at peak, 3,515 added, 950 deleted).
% 0.86/1.05 ; Trie-index has 6,187 nodes (7,249 at peak, 9,826 added, 3,639 deleted).
% 0.86/1.05 ; Retrieved 10,049 generalization terms in 26,772 calls.
% 0.86/1.05 ; Retrieved 739 instance terms in 685 calls.
% 0.86/1.05 ; Retrieved 23,955 unifiable terms in 2,358 calls.
% 0.86/1.05 ;
% 0.86/1.05 ; The agenda of rows to process has 7 entries:
% 0.86/1.05 ; 3 with value 14 2 with value 17 2 with value 19
% 0.86/1.05 ; The agenda of rows to give has 747 entries:
% 0.86/1.05 ; 3 with value (4 9) 28 with value (4 23) 29 with value (4 36)
% 0.86/1.05 ; 2 with value (4 11) 29 with value (4 24) 23 with value (4 37)
% 0.86/1.05 ; 4 with value (4 12) 47 with value (4 25) 30 with value (4 38)
% 0.86/1.05 ; 2 with value (4 13) 36 with value (4 26) 30 with value (4 39)
% 0.86/1.05 ; 2 with value (4 14) 30 with value (4 27) 21 with value (4 40)
% 0.86/1.05 ; 3 with value (4 15) 37 with value (4 28) 24 with value (4 41)
% 0.86/1.05 ; 2 with value (4 16) 33 with value (4 29) 14 with value (4 42)
% 0.86/1.05 ; 3 with value (4 17) 53 with value (4 30) 3 with value (4 43)
% 0.86/1.05 ; 2 with value (4 18) 45 with value (4 31) 13 with value (4 44)
% 0.86/1.05 ; 4 with value (4 19) 78 with value (4 32) 5 with value (4 45)
% 0.86/1.05 ; 5 with value (4 20) 14 with value (4 33) 2 with value (4 46)
% 0.86/1.05 ; 8 with value (4 21) 34 with value (4 34) 2 with value (4 47)
% 0.86/1.05 ; 22 with value (4 22) 25 with value (4 35)
% 0.86/1.05 Evaluation took:
% 0.86/1.05 0.586 seconds of real time
% 0.86/1.05 0.52799 seconds of user run time
% 0.86/1.05 0.054964 seconds of system run time
% 0.86/1.05 [Run times include 0.021 seconds GC run time.]
% 0.86/1.05 0 calls to %EVAL
% 0.86/1.05 0 page faults and
% 0.86/1.05 35,127,688 bytes consed.
% 0.86/1.05 :PROOF-FOUND
% 0.86/1.05 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T20:06:33
% 0.86/1.05 :PROOF-FOUND
% 0.86/1.05 *
%------------------------------------------------------------------------------