TSTP Solution File: ITP366_1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ITP001_1 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n032.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 : Sun Jul 17 00:35:10 EDT 2022
% Result : Theorem 0.58s 0.85s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 6
% Syntax : Number of formulae : 9 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 65 ( 3 equ)
% Maximal formula atoms : 2 ( 7 avg)
% Number of connectives : 4 ( 3 ~; 1 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 55 ( 55 fml; 0 var)
% Number arithmetic : 4 ( 0 atm; 0 fun; 4 num; 0 var)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 20 ( 18 usr; 11 prp; 0-2 aty)
% Number of functors : 2 ( 0 usr; 2 con; 0-0 aty)
% Number of variables : 7 ( 0 sgn 7 !; 0 ?; 7 :)
% Comments :
%------------------------------------------------------------------------------
tff(30,negated_conjecture,
~ 'semantics_ltln$'('suffix$'('nat$'(1),'w$'),'gF_advice$'('fun_app$g'('fun_app$h'('af_letter$','fun_app$i'('next_ltln$','phi$')),'fun_app$j'('w$','nat$'(0))),'x$')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture11) ).
tff(31,axiom,
'semantics_ltln$'('w$','gF_advice$'('fun_app$i'('unf$','fun_app$i'('next_ltln$','phi$')),'x$')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom12) ).
tff(34,axiom,
! [X: 'Nat_a_set_fun$',Y: 'A_ltln$'] :
( ~ 'semantics_ltln$'(X,'fun_app$i'('next_ltln$',Y))
| 'semantics_ltln$'('suffix$'('nat$'(1),X),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom15) ).
tff(39,axiom,
! [X: 'A_ltln$',Y: 'A_ltln_set$'] : ( 'gF_advice$'('fun_app$i'('next_ltln$',X),Y) = 'fun_app$i'('next_ltln$','gF_advice$'(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom18) ).
tff(40,axiom,
! [X: 'A_ltln$',Y: 'A_set$'] : ( 'fun_app$g'('fun_app$h'('af_letter$','fun_app$i'('next_ltln$',X)),Y) = X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom19) ).
tff(41,axiom,
! [X: 'A_ltln$'] : ( 'fun_app$i'('unf$','fun_app$i'('next_ltln$',X)) = 'fun_app$i'('next_ltln$',X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom21) ).
tff(885,plain,
'semantics_ltln$'('w$','fun_app$i'('next_ltln$','gF_advice$'('phi$','x$'))),
inference('REWRITE',[status(thm)],[31,39,41,theory(equality)]) ).
tff(886,plain,
~ 'semantics_ltln$'('suffix$'('nat$'(1),'w$'),'gF_advice$'('phi$','x$')),
inference('REWRITE',[status(thm)],[30,40,theory(equality)]) ).
cnf(1319,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[34,885,886]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : ITP001_1 : TPTP v8.1.0. Released v8.1.0.
% 0.00/0.09 % Command : run-snark %s %d
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 600
% 0.08/0.28 % DateTime : Thu Jun 2 14:22:45 EDT 2022
% 0.08/0.28 % CPUTime :
% 0.11/0.36 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 *
% 0.11/0.37 *
% 0.11/0.37 #<PACKAGE "SNARK-USER">
% 0.11/0.37 *
% 0.11/0.37 SNARK-TPTP-OPTIONS
% 0.11/0.37 *
% 0.11/0.37 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.11/0.37 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.11/0.37 (USE-FACTORING :POS)
% 0.11/0.37 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.11/0.37 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.11/0.37 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.11/0.37 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.11/0.37 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.11/0.37 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.11/0.37 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.11/0.37 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.11/0.37 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.11/0.37 (DECLARE-TPTP-SYMBOLS2))
% 0.11/0.37 *
% 0.11/0.37 "."
% 0.11/0.37 *
% 0.11/0.37 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-02T14:22:45
% 0.11/0.37 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n032.cluster.edu at 2022-06-02T14:22:45
% 0.11/0.51 WARNING:
% 0.11/0.51 |gF_advice_congruent$| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.58/0.85
% 0.58/0.85
% 0.58/0.85 #||
% 0.58/0.85 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.58/0.85 % SZS output start Refutation
% See solution above
% 0.58/0.85 ||#
% 0.58/0.85
% 0.58/0.85 ; Summary of computation:
% 0.58/0.85 ; 2803 formulas have been input or derived (from 239 formulas).
% 0.58/0.85 ; 1319 (47%) were retained. Of these,
% 0.58/0.85 ; 413 (31%) were simplified or subsumed later,
% 0.58/0.85 ; 906 (69%) are still being kept.
% 0.58/0.85 ;
% 0.58/0.85 ; Run time in seconds excluding printing time:
% 0.58/0.85 ; 0.106 22% Read assertion file (1 call)
% 0.58/0.85 ; 0.019 4% Assert (516 calls)
% 0.58/0.85 ; 0.072 15% Process new row (2,140 calls)
% 0.58/0.85 ; 0.041 9% Resolution (476 calls)
% 0.58/0.85 ; 0.002 0% Paramodulation (238 calls)
% 0.58/0.85 ; 0.001 0% Factoring (13 calls)
% 0.58/0.85 ; 0.015 3% Condensing (905 calls)
% 0.58/0.85 ; 0.040 8% Forward subsumption (905 calls)
% 0.58/0.85 ; 0.019 4% Backward subsumption (637 calls)
% 0.58/0.85 ; 0.007 1% Clause clause subsumption (1,347 calls)
% 0.58/0.85 ; 0.083 18% Forward simplification (2,121 calls)
% 0.58/0.85 ; 0.013 3% Backward simplification (975 calls)
% 0.58/0.85 ; 0.003 1% Ordering (1,418 calls)
% 0.58/0.85 ; 0.002 0% Ordering ac (16 calls)
% 0.58/0.85 ; 0.018 4% Sortal reasoning (19,390 calls)
% 0.58/0.85 ; 0.001 0% Purity testing (1 call)
% 0.58/0.85 ; 0.031 7% Other
% 0.58/0.85 ; 0.473 Total
% 0.58/0.85 ; 0.474 Real time
% 0.58/0.85 ;
% 0.58/0.85 ; Term-hash-array has 1,786 terms in all.
% 0.58/0.85 ; Feature-vector-row-index has 604 entries (604 at peak, 637 added, 33 deleted).
% 0.58/0.85 ; Feature-vector-row-index has 4,346 nodes (4,346 at peak, 4,835 added, 489 deleted).
% 0.58/0.85 ; Retrieved 1,357 possibly forward subsuming rows in 905 calls.
% 0.58/0.85 ; Retrieved 469 possibly backward subsumed rows in 637 calls.
% 0.58/0.85 ; Path-index has 1,689 entries (1,689 at peak, 1,874 added, 185 deleted).
% 0.58/0.85 ; Path-index has 4,509 nodes (4,509 at peak, 4,755 added, 246 deleted).
% 0.58/0.85 ; Trie-index has 1,689 entries (1,689 at peak, 1,874 added, 185 deleted).
% 0.58/0.85 ; Trie-index has 3,473 nodes (3,473 at peak, 3,839 added, 366 deleted).
% 0.58/0.85 ; Retrieved 6,674 generalization terms in 8,284 calls.
% 0.58/0.85 ; Retrieved 552 instance terms in 361 calls.
% 0.58/0.85 ; Retrieved 31,886 unifiable terms in 1,379 calls.
% 0.58/0.85 ;
% 0.58/0.85 ; The agenda of rows to process has 3 entries:
% 0.58/0.85 ; 1 with value 11 1 with value 12 1 with value 22
% 0.58/0.85 ; The agenda of input rows to give has 251 entries:
% 0.58/0.85 ; 8 with value 16 5 with value 32 1 with value 54
% 0.58/0.85 ; 15 with value 17 9 with value 33 2 with value 55
% 0.58/0.85 ; 13 with value 18 3 with value 34 1 with value 57
% 0.58/0.85 ; 21 with value 19 6 with value 35 2 with value 58
% 0.58/0.85 ; 11 with value 20 4 with value 36 2 with value 64
% 0.58/0.85 ; 20 with value 21 3 with value 37 2 with value 65
% 0.58/0.85 ; 11 with value 22 4 with value 38 2 with value 67
% 0.58/0.85 ; 5 with value 23 1 with value 39 1 with value 68
% 0.58/0.85 ; 6 with value 24 3 with value 40 2 with value 69
% 0.58/0.85 ; 14 with value 25 3 with value 41 1 with value 70
% 0.58/0.85 ; 12 with value 26 5 with value 43 1 with value 71
% 0.58/0.85 ; 11 with value 27 2 with value 44 2 with value 72
% 0.58/0.85 ; 7 with value 28 3 with value 45 1 with value 73
% 0.58/0.85 ; 3 with value 29 3 with value 46 1 with value 74
% 0.58/0.85 ; 9 with value 30 1 with value 47 3 with value 78
% 0.58/0.85 ; 2 with value 31 2 with value 53 2 with value 81
% 0.58/0.85 ; The agenda of rows to give has 419 entries:
% 0.58/0.85 ; 8 with value (4 7) 20 with value (4 15) 5 with value (4 23)
% 0.58/0.85 ; 20 with value (4 8) 46 with value (4 16) 4 with value (4 24)
% 0.58/0.85 ; 7 with value (4 9) 29 with value (4 17) 3 with value (4 25)
% 0.58/0.85 ; 29 with value (4 10) 28 with value (4 18) 3 with value (4 26)
% 0.58/0.85 ; 29 with value (4 11) 21 with value (4 19) 4 with value (4 27)
% 0.58/0.85 ; 27 with value (4 12) 29 with value (4 20) 2 with value (4 28)
% 0.58/0.85 ; 46 with value (4 13) 20 with value (4 21) 1 with value (4 32)
% 0.58/0.85 ; 28 with value (4 14) 9 with value (4 22) 1 with value (4 34)
% 0.58/0.85 Evaluation took:
% 0.58/0.85 0.475 seconds of real time
% 0.58/0.85 0.418275 seconds of user run time
% 0.58/0.85 0.056711 seconds of system run time
% 0.58/0.85 [Run times include 0.015 seconds GC run time.]
% 0.58/0.85 0 calls to %EVAL
% 0.58/0.85 0 page faults and
% 0.58/0.85 31,267,072 bytes consed.
% 0.58/0.85 :PROOF-FOUND
% 0.58/0.85 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-02T14:22:46
% 0.58/0.85 :PROOF-FOUND
% 0.58/0.85 *
%------------------------------------------------------------------------------