TSTP Solution File: LCL097-1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL097-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n029.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 14:20:10 EDT 2022
% Result : Unsatisfiable 62.08s 62.30s
% Output : Refutation 62.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of clauses : 27 ( 26 unt; 0 nHn; 3 RR)
% Number of literals : 29 ( 0 equ; 3 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 87 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(equivalent(X,Y))
| ~ is_a_theorem(X)
| is_a_theorem(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(lg_2,axiom,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X,Y),equivalent(X,Z)),equivalent(Y,Z)),U),U)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lg_2) ).
cnf(lg_3,axiom,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X,Y),equivalent(X,Z)),U),equivalent(equivalent(Y,Z),U)),V),V)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lg_3) ).
cnf(prove_lg_4,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_lg_4) ).
cnf(7,plain,
is_a_theorem(equivalent(equivalent(X,Y),equivalent(X,Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,lg_3,lg_2]) ).
cnf(8,plain,
is_a_theorem(equivalent(equivalent(equivalent(X,Y),Z),equivalent(equivalent(U,Y),equivalent(equivalent(X,U),Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,lg_3,lg_3]) ).
cnf(11,plain,
is_a_theorem(equivalent(equivalent(equivalent(X,Y),equivalent(X,Z)),equivalent(Y,Z))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,7,lg_2]) ).
cnf(12,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X,Y),equivalent(X,Z)),U),equivalent(equivalent(Y,Z),U))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,7,lg_3]) ).
cnf(14,plain,
is_a_theorem(equivalent(X,X)),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,11,7]) ).
cnf(17,plain,
is_a_theorem(equivalent(X,equivalent(equivalent(Y,Y),X))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,8,11]) ).
cnf(18,plain,
is_a_theorem(equivalent(equivalent(X,Y),equivalent(equivalent(Z,X),equivalent(Z,Y)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,8,14]) ).
cnf(19,plain,
is_a_theorem(equivalent(equivalent(X,equivalent(Y,Z)),equivalent(equivalent(equivalent(Y,U),X),equivalent(U,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,8,lg_2]) ).
cnf(39,plain,
is_a_theorem(equivalent(equivalent(X,equivalent(equivalent(Y,Z),equivalent(Y,U))),equivalent(X,equivalent(Z,U)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,18,11]) ).
cnf(99,plain,
is_a_theorem(equivalent(equivalent(equivalent(X,Y),Z),equivalent(equivalent(equivalent(U,X),equivalent(U,Y)),Z))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,12,lg_2]) ).
cnf(104,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X,X),Y),Z),equivalent(Y,Z))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,19,17]) ).
cnf(106,plain,
is_a_theorem(equivalent(equivalent(equivalent(X,Y),equivalent(equivalent(Z,X),equivalent(Z,U))),equivalent(Y,U))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,19,11]) ).
cnf(116,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X,Y),Z),equivalent(equivalent(equivalent(U,X),equivalent(U,Y)),V)),equivalent(Z,V))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,19,12]) ).
cnf(126,plain,
is_a_theorem(equivalent(X,equivalent(equivalent(Y,Z),equivalent(equivalent(Z,Y),X)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,104,8]) ).
cnf(146,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X,Y),Z),U),equivalent(Z,equivalent(equivalent(Y,X),U)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,126,19]) ).
cnf(293,plain,
is_a_theorem(equivalent(equivalent(equivalent(X,X),Y),Y)),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,106,99]) ).
cnf(313,plain,
is_a_theorem(equivalent(equivalent(equivalent(X,Y),equivalent(equivalent(Z,Z),equivalent(X,U))),equivalent(Y,U))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,293,19]) ).
cnf(727,plain,
is_a_theorem(equivalent(equivalent(equivalent(X,Y),equivalent(equivalent(Z,X),U)),equivalent(equivalent(Z,Y),U))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,39,99]) ).
cnf(2668,plain,
is_a_theorem(equivalent(X,equivalent(equivalent(Y,Z),equivalent(equivalent(U,Y),equivalent(equivalent(Z,U),X))))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,146,8]) ).
cnf(3594,plain,
is_a_theorem(equivalent(equivalent(equivalent(X,Y),equivalent(equivalent(Y,X),Z)),Z)),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,727,313]) ).
cnf(3633,plain,
is_a_theorem(equivalent(equivalent(X,equivalent(equivalent(Y,Z),U)),equivalent(equivalent(equivalent(Z,Y),X),U))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,3594,8]) ).
cnf(24122,plain,
is_a_theorem(equivalent(X,equivalent(equivalent(Y,equivalent(Z,U)),equivalent(equivalent(equivalent(Z,V),Y),equivalent(equivalent(U,V),X))))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,2668,116]) ).
cnf(29154,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[condensed_detachment,3633,prove_lg_4]),24122]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14 % Problem : LCL097-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.15 % Command : run-snark %s %d
% 0.14/0.36 % Computer : n029.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Mon Jul 4 06:28:11 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.22/0.50 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.51 *
% 0.22/0.51 *
% 0.22/0.51 #<PACKAGE "SNARK-USER">
% 0.22/0.51 *
% 0.22/0.51 SNARK-TPTP-OPTIONS
% 0.22/0.51 *
% 0.22/0.51 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.51 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.51 (USE-FACTORING :POS)
% 0.22/0.51 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.51 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.51 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.51 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.51 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.51 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.51 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.51 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.51 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.51 (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.51 *
% 0.22/0.51 "."
% 0.22/0.51 *
% 0.22/0.51 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-04T06:28:11
% 0.22/0.51 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-07-04T06:28:11
% 62.08/62.30
% 62.08/62.30
% 62.08/62.30 #||
% 62.08/62.30 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 62.08/62.30 % SZS output start Refutation
% See solution above
% 62.22/62.39 ||#
% 62.22/62.39
% 62.22/62.39 ; Summary of computation:
% 62.22/62.39 ; 142196 formulas have been input or derived (from 317 formulas).
% 62.22/62.39 ; 29154 (21%) were retained. Of these,
% 62.22/62.39 ; 2 ( 0%) were simplified or subsumed later,
% 62.22/62.39 ; 29152 (100%) are still being kept.
% 62.22/62.39 ;
% 62.22/62.39 ; Run time in seconds excluding printing time:
% 62.22/62.39 ; 0.002 0% Read assertion file (1 call)
% 62.22/62.39 ; 0.000 0% Assert (4 calls)
% 62.22/62.39 ; 4.548 7% Process new row (125,844 calls)
% 62.22/62.39 ; 45.506 74% Resolution (632 calls)
% 62.22/62.39 ; 1.896 3% Paramodulation (316 calls)
% 62.22/62.39 ; 0.000 0% Condensing (1 call)
% 62.22/62.39 ; 0.000 0% Forward subsumption (1 call)
% 62.22/62.39 ; 0.000 0% Backward subsumption (1 call)
% 62.22/62.39 ; 4.840 8% Forward simplification (125,843 calls)
% 62.22/62.39 ; 4.576 7% Backward simplification (29,154 calls)
% 62.22/62.39 ; 0.000 0% Sortal reasoning (32 calls)
% 62.22/62.39 ; 0.000 0% Purity testing (1 call)
% 62.22/62.39 ; 0.424 1% Other
% 62.22/62.39 ; 61.792 Total
% 62.22/62.39 ; 61.873 Real time
% 62.22/62.39 ;
% 62.22/62.39 ; Term-hash-array has 86,941 terms in all.
% 62.22/62.39 ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 62.22/62.39 ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 62.22/62.39 ; Retrieved 0 possibly forward subsuming rows in 1 call.
% 62.22/62.39 ; Retrieved 0 possibly backward subsumed rows in 1 call.
% 62.22/62.39 ; Path-index has 86,942 entries (86,942 at peak, 86,946 added, 4 deleted).
% 62.22/62.39 ; Path-index has 2,779 nodes (2,779 at peak, 2,780 added, 1 deleted).
% 62.22/62.39 ; Trie-index has 86,942 entries (86,942 at peak, 86,946 added, 4 deleted).
% 62.22/62.39 ; Trie-index has 124,785 nodes (124,785 at peak, 124,826 added, 41 deleted).
% 62.22/62.39 ; Retrieved 2,792,878 generalization terms in 125,842 calls.
% 62.22/62.39 ; Retrieved 587,577 instance terms in 29,152 calls.
% 62.22/62.39 ; Retrieved 23,016,542 unifiable terms in 75,882 calls.
% 62.22/62.39 ;
% 62.22/62.39 ; The agenda of rows to process has 439 entries:
% 62.22/62.39 ; 65 with value 35 80 with value 40 32 with value 44
% 62.22/62.39 ; 146 with value 36 36 with value 41 48 with value 45
% 62.22/62.39 ; 1 with value 38 6 with value 43 1 with value 51
% 62.22/62.39 ; 24 with value 39
% 62.22/62.39 ; The agenda of rows to give has 28836 entries:
% 62.22/62.39 ; 38 with value (4 29) 1583 with value (4 37) 2728 with value (4 45)
% 62.22/62.39 ; 77 with value (4 30) 3605 with value (4 38) 125 with value (4 46)
% 62.22/62.39 ; 108 with value (4 31) 4228 with value (4 39) 162 with value (4 47)
% 62.22/62.39 ; 460 with value (4 32) 2460 with value (4 40) 234 with value (4 48)
% 62.22/62.39 ; 981 with value (4 33) 503 with value (4 41) 196 with value (4 49)
% 62.22/62.39 ; 1240 with value (4 34) 1095 with value (4 42) 119 with value (4 50)
% 62.22/62.39 ; 862 with value (4 35) 3017 with value (4 43) 92 with value (4 51)
% 62.22/62.39 ; 468 with value (4 36) 4455 with value (4 44)
% 62.22/62.39 Evaluation took:
% 62.22/62.39 61.875 seconds of real time
% 62.22/62.39 60.913258 seconds of user run time
% 62.22/62.39 0.96301 seconds of system run time
% 62.22/62.39 [Run times include 3.872 seconds GC run time.]
% 62.22/62.39 0 calls to %EVAL
% 62.22/62.39 0 page faults and
% 62.22/62.39 1,425,645,808 bytes consed.
% 62.22/62.39 :PROOF-FOUND
% 62.22/62.39 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-04T06:29:13
% 62.22/62.39 :PROOF-FOUND
% 62.22/62.39 *
%------------------------------------------------------------------------------