%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : DAT049_1 : TPTP v8.1.0. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n008.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 01:27:22 EDT 2022
% Result : Theorem 0.94s 1.11s
% Output : Refutation 0.94s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 'CODE-FOR-$$SUM')
% Comments :
%------------------------------------------------------------------------------
tff(2,axiom,
! [X: $int,Y: collection] : in(X,add(X,Y)),
file('/export/starexec/sandbox/benchmark/Axioms/DAT002=0.ax',ax2) ).
tff(25,axiom,
! [X: $int,Y: collection] :
( in(X,Y)
| ( count(add(X,Y)) = $sum(count(Y),1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/DAT002=1.ax',ax3) ).
tff(26,plain,
! [X: $int,Y: collection] :
( in(X,Y)
| ( count(add(X,Y)) = $sum(1,count(Y)) ) ),
inference('REWRITE',[status(thm)],[25,'CODE-FOR-$$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(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: $int,Y: collection] :
( in(X,Y)
| ( count(remove(X,Y)) = count(Y) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/DAT002=1.ax',ax6) ).
tff(38,negated_conjecture,
count(remove('SKOLEMAAAV2.$int',add('SKOLEMAAAV2.$int','SKOLEMAAAV1.collection'))) != count(remove('SKOLEMAAAV2.$int','SKOLEMAAAV1.collection')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
tff(51,plain,
! [X: $int,Y: collection] :
( ( count(remove(X,Y)) = count(Y) )
| ( count(add(X,Y)) = count(Y) ) ),
inference('HYPERRESOLVE',[status(thm)],[29,35]) ).
tff(70,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(74,plain,
! [X: $int,Y: collection] : ( count(remove(X,add(X,Y))) = $sum(-1,count(add(X,Y))) ),
inference('HYPERRESOLVE',[status(thm)],[32,2]) ).
tff(76,plain,
$sum(-1,count(add('SKOLEMAAAV2.$int','SKOLEMAAAV1.collection'))) != count(remove('SKOLEMAAAV2.$int','SKOLEMAAAV1.collection')),
inference('REWRITE',[status(thm)],[38,74,theory(equality)]) ).
tff(1430,plain,
( ( count(add('SKOLEMAAAV2.$int','SKOLEMAAAV1.collection')) = count('SKOLEMAAAV1.collection') )
| ( count('SKOLEMAAAV1.collection') != count(remove('SKOLEMAAAV2.$int','SKOLEMAAAV1.collection')) ) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[76,70,theory(equality)]),'CODE-FOR-$$SUM']) ).
tff(1470,plain,
count(add('SKOLEMAAAV2.$int','SKOLEMAAAV1.collection')) = count('SKOLEMAAAV1.collection'),
inference('HYPERRESOLVE',[status(thm)],[1430,51]) ).
tff(1471,plain,
$sum(-1,count('SKOLEMAAAV1.collection')) != count(remove('SKOLEMAAAV2.$int','SKOLEMAAAV1.collection')),
inference('REWRITE',[status(thm)],[76,1470,theory(equality)]) ).
tff(1540,plain,
~ in('SKOLEMAAAV2.$int','SKOLEMAAAV1.collection'),
inference('UR-RESOLVE',[status(thm)],[32,1471]) ).
cnf(1604,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[30,1540]),1470,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13 % Problem : DAT049_1 : TPTP v8.1.0. Released v5.0.0.
% 0.10/0.14 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n008.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Fri Jul 1 19:21:38 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.48 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.49 *
% 0.21/0.49 *
% 0.21/0.49 #<PACKAGE "SNARK-USER">
% 0.21/0.49 *
% 0.21/0.49 SNARK-TPTP-OPTIONS
% 0.21/0.49 *
% 0.21/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49 (USE-FACTORING :POS)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49 *
% 0.21/0.49 "."
% 0.21/0.49 *
% 0.21/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T19:21:38
% 0.21/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-07-01T19:21:38
% 0.94/1.11
% 0.94/1.11
% 0.94/1.11 #||
% 0.94/1.11 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.94/1.11 % SZS output start Refutation
% See solution above
% 0.94/1.11 ||#
% 0.94/1.11
% 0.94/1.11 ; Summary of computation:
% 0.94/1.11 ; 5062 formulas have been input or derived (from 193 formulas).
% 0.94/1.11 ; 1604 (32%) were retained. Of these,
% 0.94/1.11 ; 211 (13%) were simplified or subsumed later,
% 0.94/1.11 ; 1393 (87%) are still being kept.
% 0.94/1.11 ;
% 0.94/1.11 ; Run time in seconds excluding printing time:
% 0.94/1.11 ; 0.005 1% Read assertion file (1 call)
% 0.94/1.11 ; 0.001 0% Assert (13 calls)
% 0.94/1.11 ; 0.143 23% Process new row (4,695 calls)
% 0.94/1.11 ; 0.065 11% Resolution (384 calls)
% 0.94/1.11 ; 0.024 4% Paramodulation (192 calls)
% 0.94/1.11 ; 0.001 0% Factoring (45 calls)
% 0.94/1.11 ; 0.020 3% Condensing (1,270 calls)
% 0.94/1.11 ; 0.063 10% Forward subsumption (1,270 calls)
% 0.94/1.11 ; 0.033 5% Backward subsumption (926 calls)
% 0.94/1.11 ; 0.014 2% Clause clause subsumption (2,249 calls)
% 0.94/1.11 ; 0.150 24% Forward simplification (4,671 calls)
% 0.94/1.11 ; 0.025 4% Backward simplification (1,600 calls)
% 0.94/1.11 ; 0.007 1% Ordering (2,638 calls)
% 0.94/1.11 ; 0.000 0% Ordering ac (10 calls)
% 0.94/1.11 ; 0.017 3% Sortal reasoning (13,902 calls)
% 0.94/1.11 ; 0.000 0% Purity testing (1 call)
% 0.94/1.11 ; 0.047 8% Other
% 0.94/1.11 ; 0.615 Total
% 0.94/1.11 ; 0.617 Real time
% 0.94/1.11 ;
% 0.94/1.11 ; Term-hash-array has 4,073 terms in all.
% 0.94/1.11 ; Feature-vector-row-index has 908 entries (918 at peak, 926 added, 18 deleted).
% 0.94/1.11 ; Feature-vector-row-index has 8,539 nodes (8,761 at peak, 8,909 added, 370 deleted).
% 0.94/1.11 ; Retrieved 3,739 possibly forward subsuming rows in 1,270 calls.
% 0.94/1.11 ; Retrieved 98 possibly backward subsumed rows in 926 calls.
% 0.94/1.11 ; Path-index has 3,656 entries (3,688 at peak, 4,238 added, 582 deleted).
% 0.94/1.11 ; Path-index has 5,145 nodes (5,309 at peak, 5,781 added, 636 deleted).
% 0.94/1.11 ; Trie-index has 3,656 entries (3,688 at peak, 4,238 added, 582 deleted).
% 0.94/1.11 ; Trie-index has 8,590 nodes (8,820 at peak, 10,253 added, 1,663 deleted).
% 0.94/1.11 ; Retrieved 12,280 generalization terms in 32,925 calls.
% 0.94/1.11 ; Retrieved 722 instance terms in 673 calls.
% 0.94/1.11 ; Retrieved 30,314 unifiable terms in 2,296 calls.
% 0.94/1.11 ;
% 0.94/1.11 ; The agenda of rows to process has 8 entries:
% 0.94/1.11 ; 3 with value 14 2 with value 17 3 with value 19
% 0.94/1.11 ; The agenda of input rows to give has 1 entry:
% 0.94/1.11 ; 1 with value 10
% 0.94/1.11 ; The agenda of rows to give has 1208 entries:
% 0.94/1.11 ; 1 with value (4 9) 50 with value (4 25) 48 with value (4 38)
% 0.94/1.11 ; 1 with value (4 11) 72 with value (4 26) 62 with value (4 39)
% 0.94/1.11 ; 1 with value (4 12) 37 with value (4 27) 27 with value (4 40)
% 0.94/1.11 ; 2 with value (4 13) 60 with value (4 28) 54 with value (4 41)
% 0.94/1.11 ; 1 with value (4 14) 46 with value (4 29) 41 with value (4 42)
% 0.94/1.11 ; 3 with value (4 17) 66 with value (4 30) 14 with value (4 43)
% 0.94/1.11 ; 2 with value (4 18) 67 with value (4 31) 27 with value (4 44)
% 0.94/1.11 ; 2 with value (4 19) 104 with value (4 32) 8 with value (4 45)
% 0.94/1.11 ; 4 with value (4 20) 49 with value (4 33) 14 with value (4 46)
% 0.94/1.11 ; 6 with value (4 21) 83 with value (4 34) 6 with value (4 47)
% 0.94/1.11 ; 4 with value (4 22) 73 with value (4 35) 6 with value (4 48)
% 0.94/1.11 ; 24 with value (4 23) 62 with value (4 36) 2 with value (4 49)
% 0.94/1.11 ; 32 with value (4 24) 47 with value (4 37)
% 0.94/1.11 Evaluation took:
% 0.94/1.11 0.618 seconds of real time
% 0.94/1.11 0.554505 seconds of user run time
% 0.94/1.11 0.064046 seconds of system run time
% 0.94/1.11 [Run times include 0.037 seconds GC run time.]
% 0.94/1.11 0 calls to %EVAL
% 0.94/1.11 0 page faults and
% 0.94/1.11 45,649,824 bytes consed.
% 0.94/1.11 :PROOF-FOUND
% 0.94/1.11 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T19:21:39
% 0.94/1.11 :PROOF-FOUND
% 0.94/1.11 *
%------------------------------------------------------------------------------