%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : DAT037_1 : TPTP v8.1.0. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n021.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 01:27:18 EDT 2022
% Result : Theorem 0.37s 0.55s
% Output : Refutation 0.37s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 'CODE-FOR-$$SUM')
% Comments :
%------------------------------------------------------------------------------
tff(1,axiom,
! [X: $int] : ~ in(X,empty),
file('/export/starexec/sandbox2/benchmark/Axioms/DAT002=0.ax',ax1) ).
tff(6,axiom,
! [X: $int,Y: collection,Z: $int] :
( in(X,Y)
| ( X = Z )
| ~ in(X,add(Z,Y)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/DAT002=0.ax',ax4) ).
tff(24,axiom,
! [X: collection] :
( ( X = empty )
| ( count(X) != 0 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/DAT002=1.ax',ax2) ).
tff(31,axiom,
! [X: $int,Y: collection] :
( ~ in(X,Y)
| ( count(remove(X,Y)) = $difference(count(Y),1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/DAT002=1.ax',ax5) ).
tff(32,plain,
! [X: $int,Y: collection] :
( ~ in(X,Y)
| ( count(remove(X,Y)) = $sum(-1,count(Y)) ) ),
inference('REWRITE',[status(thm)],[31,'CODE-FOR-$$SUM','CODE-FOR-$$PRODUCT','CODE-FOR-$$UMINUS','CODE-FOR-$$DIFFERENCE']) ).
tff(37,axiom,
! [X: $int,Y: collection] :
( ~ in(X,Y)
| ( Y = add(X,remove(X,Y)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/DAT002=1.ax',ax7) ).
tff(38,negated_conjecture,
in(2,'SKOLEMAAAW1.collection'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
tff(39,negated_conjecture,
count('SKOLEMAAAW1.collection') = 1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
tff(40,negated_conjecture,
in(5,'SKOLEMAAAW1.collection'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
tff(63,plain,
'SKOLEMAAAW1.collection' = add(2,remove(2,'SKOLEMAAAW1.collection')),
inference('HYPERRESOLVE',[status(thm)],[37,38]) ).
tff(83,plain,
count(remove(2,'SKOLEMAAAW1.collection')) = 0,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[32,38]),'CODE-FOR-$$SUM',39,theory(equality)]) ).
tff(120,plain,
remove(2,'SKOLEMAAAW1.collection') = empty,
inference('HYPERRESOLVE',[status(thm)],[24,83]) ).
tff(121,plain,
'SKOLEMAAAW1.collection' = add(2,empty),
inference('REWRITE',[status(thm)],[63,120,theory(equality)]) ).
tff(122,plain,
! [X: $int] :
( ( 2 = X )
| ~ in(X,'SKOLEMAAAW1.collection') ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[6,121,theory(equality)]),1]) ).
cnf(126,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[122,40]),theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : DAT037_1 : TPTP v8.1.0. Released v5.0.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n021.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 : Fri Jul 1 20:46:59 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-01T20:46:59
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-07-01T20:46:59
% 0.37/0.55
% 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
% 0.37/0.56 ||#
% 0.37/0.56
% 0.37/0.56 ; Summary of computation:
% 0.37/0.56 ; 384 formulas have been input or derived (from 54 formulas).
% 0.37/0.56 ; 126 (33%) were retained. Of these,
% 0.37/0.56 ; 21 (17%) were simplified or subsumed later,
% 0.37/0.56 ; 105 (83%) are still being kept.
% 0.37/0.56 ;
% 0.37/0.56 ; Run time in seconds excluding printing time:
% 0.37/0.56 ; 0.005 7% Read assertion file (1 call)
% 0.37/0.56 ; 0.001 1% Assert (13 calls)
% 0.37/0.56 ; 0.014 20% Process new row (351 calls)
% 0.37/0.56 ; 0.008 11% Resolution (106 calls)
% 0.37/0.56 ; 0.004 6% Paramodulation (53 calls)
% 0.37/0.56 ; 0.000 0% Factoring (6 calls)
% 0.37/0.56 ; 0.000 0% Condensing (62 calls)
% 0.37/0.56 ; 0.002 3% Forward subsumption (62 calls)
% 0.37/0.56 ; 0.001 1% Backward subsumption (62 calls)
% 0.37/0.56 ; 0.000 0% Clause clause subsumption (18 calls)
% 0.37/0.56 ; 0.008 11% Forward simplification (300 calls)
% 0.37/0.56 ; 0.001 1% Backward simplification (122 calls)
% 0.37/0.56 ; 0.000 0% Ordering (242 calls)
% 0.37/0.56 ; 0.000 0% Ordering ac (4 calls)
% 0.37/0.56 ; 0.001 1% Sortal reasoning (862 calls)
% 0.37/0.56 ; 0.001 1% Purity testing (1 call)
% 0.37/0.56 ; 0.024 34% Other
% 0.37/0.56 ; 0.070 Total
% 0.37/0.56 ; 0.073 Real time
% 0.37/0.56 ;
% 0.37/0.56 ; Term-hash-array has 209 terms in all.
% 0.37/0.56 ; Feature-vector-row-index has 62 entries (62 at peak, 62 added, 0 deleted).
% 0.37/0.56 ; Feature-vector-row-index has 319 nodes (319 at peak, 319 added, 0 deleted).
% 0.37/0.56 ; Retrieved 38 possibly forward subsuming rows in 62 calls.
% 0.37/0.56 ; Retrieved 1 possibly backward subsumed row in 62 calls.
% 0.37/0.56 ; Path-index has 187 entries (192 at peak, 230 added, 43 deleted).
% 0.37/0.56 ; Path-index has 303 nodes (305 at peak, 329 added, 26 deleted).
% 0.37/0.56 ; Trie-index has 187 entries (192 at peak, 230 added, 43 deleted).
% 0.37/0.56 ; Trie-index has 372 nodes (379 at peak, 431 added, 59 deleted).
% 0.37/0.56 ; Retrieved 371 generalization terms in 806 calls.
% 0.37/0.56 ; Retrieved 63 instance terms in 59 calls.
% 0.37/0.56 ; Retrieved 1,410 unifiable terms in 368 calls.
% 0.37/0.56 ;
% 0.37/0.56 ; The agenda of rows to process has 4 entries:
% 0.37/0.56 ; 2 with value 7 1 with value 17 1 with value 19
% 0.37/0.56 ; The agenda of rows to give has 55 entries:
% 0.37/0.56 ; 1 with value (4 10) 4 with value (4 17) 2 with value (4 22)
% 0.37/0.56 ; 2 with value (4 11) 3 with value (4 18) 3 with value (4 23)
% 0.37/0.56 ; 4 with value (4 12) 2 with value (4 19) 2 with value (4 24)
% 0.37/0.56 ; 4 with value (4 14) 2 with value (4 20) 1 with value (4 25)
% 0.37/0.56 ; 1 with value (4 15) 14 with value (4 21) 1 with value (4 26)
% 0.37/0.56 ; 9 with value (4 16)
% 0.37/0.56 Evaluation took:
% 0.37/0.56 0.073 seconds of real time
% 0.37/0.56 0.05743 seconds of user run time
% 0.37/0.56 0.015806 seconds of system run time
% 0.37/0.56 0 calls to %EVAL
% 0.37/0.56 0 page faults and
% 0.37/0.56 3,840,280 bytes consed.
% 0.37/0.56 :PROOF-FOUND
% 0.37/0.56 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-01T20:46:59
% 0.37/0.56 :PROOF-FOUND
% 0.37/0.56 *
%------------------------------------------------------------------------------