%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : DAT034_1 : TPTP v8.1.0. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n004.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 0.77s 1.03s
% Output : Refutation 0.86s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 'CODE-FOR-$$SUM')
% Comments :
%------------------------------------------------------------------------------
cnf('$$GREATEREQ-IS-REFLEXIVE',axiom,
$greatereq(X,X) ).
tff('SOLVE-$$GREATEREQ-BY-$$$LESS',axiom,
! [X: 'NUMBER',Y: 'NUMBER'] :
( $greatereq(X,Y)
| '$$$LESS'(X,Y) ) ).
tff(25,axiom,
! [X: $int,Y: collection] :
( in(X,Y)
| ( count(add(X,Y)) = $sum(count(Y),1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/DAT002=1.ax',ax3) ).
tff(26,plain,
! [X: $int,Y: collection] :
( in(X,Y)
| ( count(add(X,Y)) = $sum(1,count(Y)) ) ),
inference('REWRITE',[status(thm)],[25,'CODE-FOR-$$SUM']) ).
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(38,negated_conjecture,
~ $greatereq($sum(count('SKOLEMAAAV1.collection'),1),count(add('SKOLEMAAAV2.$int','SKOLEMAAAV1.collection'))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
tff(39,plain,
~ $greatereq($sum(1,count('SKOLEMAAAV1.collection')),count(add('SKOLEMAAAV2.$int','SKOLEMAAAV1.collection'))),
inference('REWRITE',[status(thm)],[38,'CODE-FOR-$$SUM']) ).
tff(45,plain,
'$$$LESS'(1,$sum(count(add('SKOLEMAAAV2.$int','SKOLEMAAAV1.collection')),$product(-1,count('SKOLEMAAAV1.collection')))),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[39,'SOLVE-$$GREATEREQ-BY-$$$LESS']),'CODE-FOR-$$$LESS','CODE-FOR-$$SUM','CODE-FOR-$$PRODUCT']) ).
tff(66,plain,
! [X: $int,Y: collection] :
( ( count(add(X,Y)) = $sum(1,count(Y)) )
| ( count(add(X,Y)) = count(Y) ) ),
inference('HYPERRESOLVE',[status(thm)],[29,26]) ).
tff(1347,plain,
count(add('SKOLEMAAAV2.$int','SKOLEMAAAV1.collection')) = count('SKOLEMAAAV1.collection'),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[39,66,theory(equality)]),'$$GREATEREQ-IS-REFLEXIVE']) ).
cnf(1349,plain,
$false,
inference('REWRITE',[status(thm)],[45,'CODE-FOR-$$$LESS','CODE-FOR-$$SUM',1347,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : DAT034_1 : TPTP v8.1.0. Released v5.0.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n004.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Fri Jul 1 17:34:53 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.47 *
% 0.21/0.47 *
% 0.21/0.48 #<PACKAGE "SNARK-USER">
% 0.21/0.48 *
% 0.21/0.48 SNARK-TPTP-OPTIONS
% 0.21/0.48 *
% 0.21/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48 (USE-FACTORING :POS)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48 *
% 0.21/0.48 "."
% 0.21/0.48 *
% 0.21/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T17:34:53
% 0.21/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-07-01T17:34:53
% 0.77/1.03
% 0.77/1.03
% 0.77/1.03 #||
% 0.77/1.03 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.77/1.03 % SZS output start Refutation
% See solution above
% 0.86/1.04 ||#
% 0.86/1.04
% 0.86/1.04 ; Summary of computation:
% 0.86/1.04 ; 4617 formulas have been input or derived (from 187 formulas).
% 0.86/1.04 ; 1349 (29%) were retained. Of these,
% 0.86/1.04 ; 54 ( 4%) were simplified or subsumed later,
% 0.86/1.04 ; 1295 (96%) are still being kept.
% 0.86/1.04 ;
% 0.86/1.04 ; Run time in seconds excluding printing time:
% 0.86/1.04 ; 0.005 1% Read assertion file (1 call)
% 0.86/1.04 ; 0.001 0% Assert (13 calls)
% 0.86/1.04 ; 0.124 23% Process new row (4,163 calls)
% 0.86/1.04 ; 0.061 11% Resolution (372 calls)
% 0.86/1.04 ; 0.022 4% Paramodulation (186 calls)
% 0.86/1.04 ; 0.001 0% Factoring (45 calls)
% 0.86/1.04 ; 0.022 4% Condensing (1,177 calls)
% 0.86/1.04 ; 0.049 9% Forward subsumption (1,177 calls)
% 0.86/1.04 ; 0.036 7% Backward subsumption (869 calls)
% 0.86/1.04 ; 0.010 2% Clause clause subsumption (2,144 calls)
% 0.86/1.04 ; 0.141 26% Forward simplification (4,146 calls)
% 0.86/1.04 ; 0.020 4% Backward simplification (1,344 calls)
% 0.86/1.04 ; 0.007 1% Ordering (2,460 calls)
% 0.86/1.04 ; 0.000 0% Ordering ac (8 calls)
% 0.86/1.04 ; 0.009 2% Sortal reasoning (12,737 calls)
% 0.86/1.04 ; 0.000 0% Purity testing (1 call)
% 0.86/1.04 ; 0.042 8% Other
% 0.86/1.04 ; 0.550 Total
% 0.86/1.04 ; 0.563 Real time
% 0.86/1.04 ;
% 0.86/1.04 ; Term-hash-array has 3,442 terms in all.
% 0.86/1.04 ; Feature-vector-row-index has 869 entries (869 at peak, 869 added, 0 deleted).
% 0.86/1.04 ; Feature-vector-row-index has 7,962 nodes (7,962 at peak, 7,962 added, 0 deleted).
% 0.86/1.04 ; Retrieved 3,468 possibly forward subsuming rows in 1,177 calls.
% 0.86/1.04 ; Retrieved 103 possibly backward subsumed rows in 869 calls.
% 0.86/1.04 ; Path-index has 3,392 entries (3,395 at peak, 3,520 added, 128 deleted).
% 0.86/1.04 ; Path-index has 4,977 nodes (4,990 at peak, 5,071 added, 94 deleted).
% 0.86/1.04 ; Trie-index has 3,392 entries (3,395 at peak, 3,520 added, 128 deleted).
% 0.86/1.04 ; Trie-index has 8,111 nodes (8,116 at peak, 8,381 added, 270 deleted).
% 0.86/1.04 ; Retrieved 10,968 generalization terms in 29,202 calls.
% 0.86/1.04 ; Retrieved 518 instance terms in 474 calls.
% 0.86/1.04 ; Retrieved 26,682 unifiable terms in 2,059 calls.
% 0.86/1.04 ;
% 0.86/1.04 ; The agenda of rows to process has 110 entries:
% 0.86/1.04 ; 1 with value 24 11 with value 32 5 with value 39
% 0.86/1.04 ; 2 with value 25 5 with value 33 5 with value 40
% 0.86/1.04 ; 4 with value 26 11 with value 34 3 with value 41
% 0.86/1.04 ; 6 with value 27 9 with value 35 6 with value 42
% 0.86/1.04 ; 3 with value 28 2 with value 36 3 with value 43
% 0.86/1.04 ; 6 with value 29 4 with value 37 2 with value 45
% 0.86/1.04 ; 5 with value 30 13 with value 38 1 with value 46
% 0.86/1.04 ; 3 with value 31
% 0.86/1.04 ; The agenda of input rows to give has 1 entry:
% 0.86/1.04 ; 1 with value 10
% 0.86/1.04 ; The agenda of rows to give has 1111 entries:
% 0.86/1.04 ; 1 with value (4 12) 94 with value (4 32) 54 with value (4 41)
% 0.86/1.04 ; 21 with value (4 23) 47 with value (4 33) 39 with value (4 42)
% 0.86/1.04 ; 27 with value (4 24) 79 with value (4 34) 12 with value (4 43)
% 0.86/1.04 ; 46 with value (4 25) 71 with value (4 35) 27 with value (4 44)
% 0.86/1.04 ; 68 with value (4 26) 59 with value (4 36) 6 with value (4 45)
% 0.86/1.04 ; 34 with value (4 27) 46 with value (4 37) 14 with value (4 46)
% 0.86/1.04 ; 54 with value (4 28) 44 with value (4 38) 6 with value (4 47)
% 0.86/1.04 ; 39 with value (4 29) 61 with value (4 39) 6 with value (4 48)
% 0.86/1.04 ; 63 with value (4 30) 25 with value (4 40) 2 with value (4 49)
% 0.86/1.04 ; 66 with value (4 31)
% 0.86/1.04 Evaluation took:
% 0.86/1.04 0.564 seconds of real time
% 0.86/1.04 0.503933 seconds of user run time
% 0.86/1.04 0.060268 seconds of system run time
% 0.86/1.04 [Run times include 0.032 seconds GC run time.]
% 0.86/1.04 0 calls to %EVAL
% 0.86/1.04 0 page faults and
% 0.86/1.04 38,574,056 bytes consed.
% 0.86/1.04 :PROOF-FOUND
% 0.86/1.04 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T17:34:53
% 0.86/1.04 :PROOF-FOUND
% 0.86/1.04 *
%------------------------------------------------------------------------------