TSTP Solution File: LCL130-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL130-1 : 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 14:20:26 EDT 2022
% Result : Unsatisfiable 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of clauses : 14 ( 13 unt; 0 nHn; 3 RR)
% Number of literals : 16 ( 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 : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 41 ( 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(p_4,axiom,
is_a_theorem(equivalent(equivalent(X,equivalent(equivalent(Y,Z),equivalent(equivalent(Y,U),equivalent(Z,U)))),X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_4) ).
cnf(prove_lg_2,negated_conjecture,
~ is_a_theorem(equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_lg_2) ).
cnf(4,plain,
is_a_theorem(equivalent(equivalent(equivalent(X,Y),equivalent(equivalent(X,Z),equivalent(Y,Z))),equivalent(equivalent(U,V),equivalent(equivalent(U,W),equivalent(V,W))))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,p_4,p_4]) ).
cnf(7,plain,
is_a_theorem(equivalent(equivalent(X,Y),equivalent(equivalent(X,Z),equivalent(Y,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,4,p_4]) ).
cnf(9,plain,
is_a_theorem(equivalent(equivalent(equivalent(X,Y),Z),equivalent(equivalent(equivalent(X,U),equivalent(Y,U)),Z))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,7,7]) ).
cnf(10,plain,
is_a_theorem(equivalent(equivalent(equivalent(X,equivalent(equivalent(Y,Z),equivalent(equivalent(Y,U),equivalent(Z,U)))),V),equivalent(X,V))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,7,p_4]) ).
cnf(13,plain,
is_a_theorem(equivalent(equivalent(equivalent(X,Y),equivalent(Z,Y)),equivalent(equivalent(X,U),equivalent(Z,U)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,9,7]) ).
cnf(20,plain,
is_a_theorem(equivalent(equivalent(equivalent(X,Y),Z),equivalent(equivalent(X,Y),Z))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,13,13]) ).
cnf(24,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X,Y),Z),equivalent(U,Z)),equivalent(equivalent(X,Y),U))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,20,9]) ).
cnf(34,plain,
is_a_theorem(equivalent(equivalent(X,Y),equivalent(X,Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,24,4]) ).
cnf(39,plain,
is_a_theorem(equivalent(equivalent(equivalent(X,Y),equivalent(Z,Y)),equivalent(X,Z))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,34,9]) ).
cnf(41,plain,
is_a_theorem(equivalent(X,X)),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,39,34]) ).
cnf(52,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,10,41,prove_lg_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : LCL130-1 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.13 % Command : run-snark %s %d
% 0.14/0.33 % Computer : n029.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % 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 : Mon Jul 4 04:44:26 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.46 #<PACKAGE "SNARK-USER">
% 0.20/0.46 *
% 0.20/0.46 SNARK-TPTP-OPTIONS
% 0.20/0.46 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-04T04:44:26
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-07-04T04:44:26
% 0.20/0.51
% 0.20/0.51
% 0.20/0.51 #||
% 0.20/0.51 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.51 % SZS output start Refutation
% See solution above
% 0.20/0.52 ||#
% 0.20/0.52
% 0.20/0.52 ; Summary of computation:
% 0.20/0.52 ; 266 formulas have been input or derived (from 16 formulas).
% 0.20/0.52 ; 52 (20%) were retained. Of these,
% 0.20/0.52 ; 9 (17%) were simplified or subsumed later,
% 0.20/0.52 ; 43 (83%) are still being kept.
% 0.20/0.52 ;
% 0.20/0.52 ; Run time in seconds excluding printing time:
% 0.20/0.52 ; 0.002 4% Read assertion file (1 call)
% 0.20/0.52 ; 0.000 0% Assert (3 calls)
% 0.20/0.52 ; 0.009 19% Process new row (180 calls)
% 0.20/0.52 ; 0.010 21% Resolution (30 calls)
% 0.20/0.52 ; 0.001 2% Paramodulation (15 calls)
% 0.20/0.52 ; 0.000 0% Condensing (1 call)
% 0.20/0.52 ; 0.000 0% Forward subsumption (1 call)
% 0.20/0.52 ; 0.000 0% Backward subsumption (1 call)
% 0.20/0.52 ; 0.002 4% Forward simplification (174 calls)
% 0.20/0.52 ; 0.003 6% Backward simplification (52 calls)
% 0.20/0.52 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.52 ; 0.000 0% Purity testing (1 call)
% 0.20/0.52 ; 0.020 43% Other
% 0.20/0.52 ; 0.047 Total
% 0.20/0.52 ; 0.050 Real time
% 0.20/0.52 ;
% 0.20/0.52 ; Term-hash-array has 213 terms in all.
% 0.20/0.52 ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 0.20/0.52 ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 0.20/0.52 ; Retrieved 0 possibly forward subsuming rows in 1 call.
% 0.20/0.52 ; Retrieved 0 possibly backward subsumed rows in 1 call.
% 0.20/0.52 ; Path-index has 195 entries (195 at peak, 222 added, 27 deleted).
% 0.20/0.52 ; Path-index has 535 nodes (535 at peak, 539 added, 4 deleted).
% 0.20/0.52 ; Trie-index has 195 entries (195 at peak, 222 added, 27 deleted).
% 0.20/0.52 ; Trie-index has 1,254 nodes (1,254 at peak, 1,443 added, 189 deleted).
% 0.20/0.52 ; Retrieved 187 generalization terms in 173 calls.
% 0.20/0.52 ; Retrieved 183 instance terms in 50 calls.
% 0.20/0.52 ; Retrieved 1,930 unifiable terms in 339 calls.
% 0.20/0.52 ;
% 0.20/0.52 ; The agenda of rows to process has 36 entries:
% 0.20/0.52 ; 1 with value 10 6 with value 34 5 with value 38
% 0.20/0.52 ; 4 with value 30 4 with value 36 1 with value 42
% 0.20/0.52 ; 4 with value 31 4 with value 37 1 with value 48
% 0.20/0.52 ; 6 with value 32
% 0.20/0.52 ; The agenda of rows to give has 30 entries:
% 0.20/0.52 ; 6 with value (4 30) 3 with value (4 37) 4 with value (4 44)
% 0.20/0.52 ; 2 with value (4 31) 2 with value (4 38) 1 with value (4 48)
% 0.20/0.52 ; 4 with value (4 35) 2 with value (4 40) 1 with value (4 49)
% 0.20/0.52 ; 4 with value (4 36) 1 with value (4 43)
% 0.20/0.52 Evaluation took:
% 0.20/0.52 0.05 seconds of real time
% 0.20/0.52 0.045223 seconds of user run time
% 0.20/0.52 0.005251 seconds of system run time
% 0.20/0.52 0 calls to %EVAL
% 0.20/0.52 0 page faults and
% 0.20/0.52 3,885,528 bytes consed.
% 0.20/0.52 :PROOF-FOUND
% 0.20/0.52 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-04T04:44:26
% 0.20/0.52 :PROOF-FOUND
% 0.20/0.52 *
%------------------------------------------------------------------------------