TSTP Solution File: LCL118-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL118-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n019.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 14:20:22 EDT 2022
% Result : Unsatisfiable 0.54s 0.72s
% Output : Refutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of clauses : 10 ( 9 unt; 0 nHn; 4 RR)
% Number of literals : 12 ( 0 equ; 4 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 24 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(equivalent(X,Y))
| ~ is_a_theorem(X)
| is_a_theorem(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(wo,axiom,
is_a_theorem(equivalent(equivalent(X,equivalent(Y,Z)),equivalent(Z,equivalent(Y,X)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wo) ).
cnf(prove_yqm,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(c,a)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_yqm) ).
cnf(4,plain,
is_a_theorem(equivalent(equivalent(X,Y),equivalent(Z,equivalent(Y,equivalent(X,Z))))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,wo,wo]) ).
cnf(5,plain,
~ is_a_theorem(equivalent(equivalent(c,a),equivalent(equivalent(c,b),equivalent(a,b)))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,prove_yqm,wo]) ).
cnf(8,plain,
is_a_theorem(equivalent(X,equivalent(equivalent(Y,equivalent(Z,U)),equivalent(equivalent(U,equivalent(Z,Y)),X)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,4,wo]) ).
cnf(12,plain,
is_a_theorem(equivalent(equivalent(equivalent(X,equivalent(Y,Z)),U),equivalent(equivalent(Z,equivalent(Y,X)),U))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,8,wo]) ).
cnf(29,plain,
is_a_theorem(equivalent(equivalent(X,equivalent(Y,Z)),equivalent(U,equivalent(equivalent(Y,X),equivalent(Z,U))))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,12,4]) ).
cnf(72,plain,
is_a_theorem(equivalent(equivalent(equivalent(X,Y),equivalent(Z,U)),equivalent(U,equivalent(Y,equivalent(X,Z))))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,29,wo]) ).
cnf(524,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,72,wo,5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL118-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jul 3 05:54:38 EDT 2022
% 0.19/0.34 % 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 2022-07-03T05:54:39
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-07-03T05:54:39
% 0.54/0.72
% 0.54/0.72
% 0.54/0.72 #||
% 0.54/0.72 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.54/0.72 % SZS output start Refutation
% See solution above
% 0.54/0.72 ||#
% 0.54/0.72
% 0.54/0.72 ; Summary of computation:
% 0.54/0.72 ; 1899 formulas have been input or derived (from 39 formulas).
% 0.54/0.72 ; 524 (28%) were retained. Of these,
% 0.54/0.72 ; 35 ( 7%) were simplified or subsumed later,
% 0.54/0.72 ; 489 (93%) are still being kept.
% 0.54/0.72 ;
% 0.54/0.72 ; Run time in seconds excluding printing time:
% 0.54/0.72 ; 0.001 0% Read assertion file (1 call)
% 0.54/0.72 ; 0.000 0% Assert (3 calls)
% 0.54/0.72 ; 0.064 26% Process new row (1,595 calls)
% 0.54/0.73 ; 0.076 30% Resolution (76 calls)
% 0.54/0.73 ; 0.009 4% Paramodulation (38 calls)
% 0.54/0.73 ; 0.000 0% Condensing (1 call)
% 0.54/0.73 ; 0.000 0% Forward subsumption (1 call)
% 0.54/0.73 ; 0.000 0% Backward subsumption (1 call)
% 0.54/0.73 ; 0.026 10% Forward simplification (1,584 calls)
% 0.54/0.73 ; 0.044 18% Backward simplification (524 calls)
% 0.54/0.73 ; 0.000 0% Sortal reasoning (32 calls)
% 0.54/0.73 ; 0.000 0% Purity testing (1 call)
% 0.54/0.73 ; 0.030 12% Other
% 0.54/0.73 ; 0.250 Total
% 0.54/0.73 ; 0.253 Real time
% 0.54/0.73 ;
% 0.54/0.73 ; Term-hash-array has 1,771 terms in all.
% 0.54/0.73 ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 0.54/0.73 ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 0.54/0.73 ; Retrieved 0 possibly forward subsuming rows in 1 call.
% 0.54/0.73 ; Retrieved 0 possibly backward subsumed rows in 1 call.
% 0.54/0.73 ; Path-index has 1,662 entries (1,662 at peak, 1,776 added, 114 deleted).
% 0.54/0.73 ; Path-index has 687 nodes (687 at peak, 687 added, 0 deleted).
% 0.54/0.73 ; Trie-index has 1,662 entries (1,662 at peak, 1,776 added, 114 deleted).
% 0.54/0.73 ; Trie-index has 4,289 nodes (4,289 at peak, 4,486 added, 197 deleted).
% 0.54/0.73 ; Retrieved 10,719 generalization terms in 1,591 calls.
% 0.54/0.73 ; Retrieved 7,961 instance terms in 522 calls.
% 0.54/0.73 ; Retrieved 53,028 unifiable terms in 1,418 calls.
% 0.54/0.73 ;
% 0.54/0.73 ; The agenda of rows to process has 108 entries:
% 0.54/0.73 ; 1 with value 15 20 with value 27 1 with value 34
% 0.54/0.73 ; 1 with value 20 8 with value 28 4 with value 35
% 0.54/0.73 ; 6 with value 21 4 with value 29 4 with value 37
% 0.54/0.73 ; 8 with value 22 4 with value 30 1 with value 38
% 0.54/0.73 ; 1 with value 24 1 with value 31 2 with value 40
% 0.54/0.73 ; 8 with value 25 12 with value 32 6 with value 41
% 0.54/0.73 ; 12 with value 26 4 with value 33
% 0.54/0.73 ; The agenda of rows to give has 454 entries:
% 0.54/0.73 ; 11 with value (4 26) 35 with value (4 32) 33 with value (4 38)
% 0.54/0.73 ; 8 with value (4 27) 28 with value (4 33) 39 with value (4 39)
% 0.54/0.73 ; 19 with value (4 28) 35 with value (4 34) 20 with value (4 40)
% 0.54/0.73 ; 25 with value (4 29) 31 with value (4 35) 4 with value (4 41)
% 0.54/0.73 ; 45 with value (4 30) 29 with value (4 36) 3 with value (4 42)
% 0.54/0.73 ; 59 with value (4 31) 30 with value (4 37)
% 0.54/0.73 Evaluation took:
% 0.54/0.73 0.254 seconds of real time
% 0.54/0.73 0.235059 seconds of user run time
% 0.54/0.73 0.016868 seconds of system run time
% 0.54/0.73 [Run times include 0.011 seconds GC run time.]
% 0.54/0.73 0 calls to %EVAL
% 0.54/0.73 0 page faults and
% 0.54/0.73 14,047,752 bytes consed.
% 0.54/0.73 :PROOF-FOUND
% 0.54/0.73 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-03T05:54:39
% 0.54/0.73 :PROOF-FOUND
% 0.54/0.73 *
%------------------------------------------------------------------------------