TSTP Solution File: DAT038_1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : DAT038_1 : TPTP v8.1.0. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n016.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 01:27:19 EDT 2022
% Result : Theorem 0.91s 1.10s
% Output : Refutation 0.91s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 'CODE-FOR-$$SUM')
% Comments :
%------------------------------------------------------------------------------
tff(1,axiom,
! [X: $int] : ~ in(X,empty),
file('/export/starexec/sandbox/benchmark/Axioms/DAT002=0.ax',ax1) ).
tff(6,axiom,
! [X: $int,Y: collection,Z: $int] :
( in(X,Y)
| ( X = Z )
| ~ in(X,add(Z,Y)) ),
file('/export/starexec/sandbox/benchmark/Axioms/DAT002=0.ax',ax4) ).
tff(7,axiom,
! [X: $int,Y: collection,Z: $int] :
( ~ in(X,Y)
| ( X = Z )
| in(X,remove(Z,Y)) ),
file('/export/starexec/sandbox/benchmark/Axioms/DAT002=0.ax',ax5) ).
tff(24,axiom,
! [X: collection] :
( ( X = empty )
| ( count(X) != 0 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/DAT002=1.ax',ax2) ).
tff(29,axiom,
! [X: $int,Y: collection] :
( ~ in(X,Y)
| ( count(add(X,Y)) = count(Y) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/DAT002=1.ax',ax4) ).
tff(30,axiom,
! [X: $int,Y: collection] :
( in(X,Y)
| ( count(add(X,Y)) != count(Y) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/DAT002=1.ax',ax4) ).
tff(31,axiom,
! [X: $int,Y: collection] :
( ~ in(X,Y)
| ( count(remove(X,Y)) = $difference(count(Y),1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/DAT002=1.ax',ax5) ).
tff(32,plain,
! [X: $int,Y: collection] :
( ~ in(X,Y)
| ( count(remove(X,Y)) = $sum(-1,count(Y)) ) ),
inference('REWRITE',[status(thm)],[31,'CODE-FOR-$$SUM','CODE-FOR-$$PRODUCT','CODE-FOR-$$UMINUS','CODE-FOR-$$DIFFERENCE']) ).
tff(37,axiom,
! [X: $int,Y: collection] :
( ~ in(X,Y)
| ( Y = add(X,remove(X,Y)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/DAT002=1.ax',ax7) ).
tff(38,negated_conjecture,
in(2,'SKOLEMAAAU1.collection'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
tff(39,negated_conjecture,
in(3,'SKOLEMAAAU1.collection'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
tff(40,negated_conjecture,
count('SKOLEMAAAU1.collection') = 2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
tff(41,negated_conjecture,
in(5,'SKOLEMAAAU1.collection'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
tff(73,plain,
! [X: $int] :
( ( 2 = X )
| in(2,remove(X,'SKOLEMAAAU1.collection')) ),
inference('HYPERRESOLVE',[status(thm)],[7,38]) ).
tff(75,plain,
! [X: $int] :
( ( 5 = X )
| in(5,remove(X,'SKOLEMAAAU1.collection')) ),
inference('HYPERRESOLVE',[status(thm)],[7,41]) ).
tff(90,plain,
count(remove(3,'SKOLEMAAAU1.collection')) = 1,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[32,39]),'CODE-FOR-$$SUM',40,theory(equality)]) ).
tff(142,plain,
! [X: $int] :
( in(X,remove(3,'SKOLEMAAAU1.collection'))
| ( count(add(X,remove(3,'SKOLEMAAAU1.collection'))) != 1 ) ),
inference('PARAMODULATE',[status(thm)],[30,90,theory(equality)]) ).
tff(162,plain,
! [X: $int] :
( ( 2 = X )
| ( count(add(2,remove(X,'SKOLEMAAAU1.collection'))) = count(remove(X,'SKOLEMAAAU1.collection')) ) ),
inference('HYPERRESOLVE',[status(thm)],[29,73]) ).
tff(1463,plain,
in(2,remove(3,'SKOLEMAAAU1.collection')),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[142,162,theory(equality)]),90,theory(equality)]) ).
tff(1482,plain,
remove(3,'SKOLEMAAAU1.collection') = add(2,remove(2,remove(3,'SKOLEMAAAU1.collection'))),
inference('HYPERRESOLVE',[status(thm)],[37,1463]) ).
tff(1484,plain,
count(remove(2,remove(3,'SKOLEMAAAU1.collection'))) = 0,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[32,1463]),'CODE-FOR-$$SUM',90,theory(equality)]) ).
tff(1510,plain,
remove(2,remove(3,'SKOLEMAAAU1.collection')) = empty,
inference('HYPERRESOLVE',[status(thm)],[24,1484]) ).
tff(1511,plain,
remove(3,'SKOLEMAAAU1.collection') = add(2,empty),
inference('REWRITE',[status(thm)],[1482,1510,theory(equality)]) ).
tff(1553,plain,
in(5,add(2,empty)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[75,1511,theory(equality)]),theory(equality)]) ).
cnf(1563,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[6,1553,1]),theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : DAT038_1 : TPTP v8.1.0. Released v5.0.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n016.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Fri Jul 1 19:40:12 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 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T19:40:13
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n016.cluster.edu at 2022-07-01T19:40:13
% 0.91/1.10
% 0.91/1.10
% 0.91/1.10 #||
% 0.91/1.10 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.91/1.10 % SZS output start Refutation
% See solution above
% 0.91/1.10 ||#
% 0.91/1.10
% 0.91/1.10 ; Summary of computation:
% 0.91/1.10 ; 5413 formulas have been input or derived (from 250 formulas).
% 0.91/1.10 ; 1563 (29%) were retained. Of these,
% 0.91/1.10 ; 165 (11%) were simplified or subsumed later,
% 0.91/1.10 ; 1398 (89%) are still being kept.
% 0.91/1.10 ;
% 0.91/1.10 ; Run time in seconds excluding printing time:
% 0.91/1.10 ; 0.005 1% Read assertion file (1 call)
% 0.91/1.10 ; 0.000 0% Assert (13 calls)
% 0.91/1.10 ; 0.157 25% Process new row (4,853 calls)
% 0.91/1.10 ; 0.085 13% Resolution (498 calls)
% 0.91/1.10 ; 0.024 4% Paramodulation (249 calls)
% 0.91/1.10 ; 0.001 0% Factoring (61 calls)
% 0.91/1.10 ; 0.010 2% Condensing (1,351 calls)
% 0.91/1.10 ; 0.090 14% Forward subsumption (1,351 calls)
% 0.91/1.10 ; 0.020 3% Backward subsumption (1,024 calls)
% 0.91/1.10 ; 0.012 2% Clause clause subsumption (2,356 calls)
% 0.91/1.10 ; 0.146 23% Forward simplification (4,805 calls)
% 0.91/1.10 ; 0.015 2% Backward simplification (1,559 calls)
% 0.91/1.10 ; 0.002 0% Ordering (5,062 calls)
% 0.91/1.10 ; 0.001 0% Ordering ac (6 calls)
% 0.91/1.10 ; 0.018 3% Sortal reasoning (17,955 calls)
% 0.91/1.10 ; 0.000 0% Purity testing (1 call)
% 0.91/1.10 ; 0.044 7% Other
% 0.91/1.10 ; 0.630 Total
% 0.91/1.10 ; 0.632 Real time
% 0.91/1.10 ;
% 0.91/1.10 ; Term-hash-array has 3,826 terms in all.
% 0.91/1.10 ; Feature-vector-row-index has 965 entries (988 at peak, 1,024 added, 59 deleted).
% 0.91/1.10 ; Feature-vector-row-index has 9,924 nodes (10,164 at peak, 10,625 added, 701 deleted).
% 0.91/1.10 ; Retrieved 3,328 possibly forward subsuming rows in 1,351 calls.
% 0.91/1.10 ; Retrieved 224 possibly backward subsumed rows in 1,024 calls.
% 0.91/1.10 ; Path-index has 3,572 entries (3,656 at peak, 3,906 added, 334 deleted).
% 0.91/1.10 ; Path-index has 4,137 nodes (4,158 at peak, 4,259 added, 122 deleted).
% 0.91/1.10 ; Trie-index has 3,572 entries (3,656 at peak, 3,906 added, 334 deleted).
% 0.91/1.10 ; Trie-index has 10,295 nodes (10,484 at peak, 11,151 added, 856 deleted).
% 0.91/1.10 ; Retrieved 11,124 generalization terms in 30,051 calls.
% 0.91/1.10 ; Retrieved 541 instance terms in 534 calls.
% 0.91/1.10 ; Retrieved 30,110 unifiable terms in 3,045 calls.
% 0.91/1.10 ;
% 0.91/1.10 ; The agenda of rows to process has 24 entries:
% 0.91/1.10 ; 1 with value 10 1 with value 20 2 with value 26
% 0.91/1.10 ; 1 with value 14 5 with value 21 1 with value 28
% 0.91/1.10 ; 1 with value 15 3 with value 23 1 with value 29
% 0.91/1.10 ; 1 with value 16 3 with value 25 2 with value 31
% 0.91/1.10 ; 2 with value 18
% 0.91/1.10 ; The agenda of rows to give has 1163 entries:
% 0.91/1.10 ; 4 with value (4 15) 32 with value (4 26) 62 with value (4 36)
% 0.91/1.10 ; 4 with value (4 16) 45 with value (4 27) 50 with value (4 37)
% 0.91/1.10 ; 3 with value (4 17) 52 with value (4 28) 5 with value (4 38)
% 0.91/1.10 ; 7 with value (4 18) 42 with value (4 29) 30 with value (4 39)
% 0.91/1.10 ; 2 with value (4 19) 86 with value (4 30) 10 with value (4 40)
% 0.91/1.10 ; 17 with value (4 21) 95 with value (4 31) 26 with value (4 41)
% 0.91/1.10 ; 53 with value (4 22) 51 with value (4 32) 25 with value (4 42)
% 0.91/1.10 ; 35 with value (4 23) 101 with value (4 33) 7 with value (4 43)
% 0.91/1.10 ; 80 with value (4 24) 81 with value (4 34) 49 with value (4 44)
% 0.91/1.10 ; 60 with value (4 25) 37 with value (4 35) 12 with value (4 45)
% 0.91/1.10 Evaluation took:
% 0.91/1.10 0.633 seconds of real time
% 0.91/1.10 0.55852 seconds of user run time
% 0.91/1.10 0.073968 seconds of system run time
% 0.91/1.10 [Run times include 0.028 seconds GC run time.]
% 0.91/1.10 0 calls to %EVAL
% 0.91/1.10 0 page faults and
% 0.91/1.10 48,751,456 bytes consed.
% 0.91/1.10 :PROOF-FOUND
% 0.91/1.10 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T19:40:13
% 0.91/1.10 :PROOF-FOUND
% 0.91/1.10 *
%------------------------------------------------------------------------------