TSTP Solution File: LCL257-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL257-1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n014.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 14:21:48 EDT 2022
% Result : Unsatisfiable 0.56s 0.72s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of clauses : 13 ( 12 unt; 0 nHn; 4 RR)
% Number of literals : 15 ( 0 equ; 4 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 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 : 28 ( 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(yql,axiom,
is_a_theorem(equivalent(equivalent(X,Y),equivalent(equivalent(Z,Y),equivalent(X,Z)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',yql) ).
cnf(prove_xhn,negated_conjecture,
~ is_a_theorem(equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_xhn) ).
cnf(4,plain,
is_a_theorem(equivalent(equivalent(X,equivalent(equivalent(Y,Z),equivalent(U,Y))),equivalent(equivalent(U,Z),X))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,yql,yql]) ).
cnf(6,plain,
is_a_theorem(equivalent(equivalent(X,Y),equivalent(X,Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,4,yql]) ).
cnf(10,plain,
is_a_theorem(equivalent(equivalent(X,equivalent(Y,Z)),equivalent(equivalent(Y,Z),X))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,6,yql]) ).
cnf(12,plain,
is_a_theorem(equivalent(equivalent(equivalent(X,Y),Z),equivalent(Z,equivalent(X,Y)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,10,10]) ).
cnf(13,plain,
is_a_theorem(equivalent(equivalent(equivalent(X,Y),equivalent(Z,X)),equivalent(Z,Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,10,yql]) ).
cnf(14,plain,
is_a_theorem(equivalent(equivalent(X,Y),equivalent(equivalent(X,Z),equivalent(Z,Y)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,10,4]) ).
cnf(18,plain,
~ is_a_theorem(equivalent(equivalent(equivalent(y,z),equivalent(equivalent(z,x),y)),x)),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,12,prove_xhn]) ).
cnf(31,plain,
is_a_theorem(equivalent(equivalent(equivalent(X,Y),X),Y)),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,14,13]) ).
cnf(44,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X,Y),X),Z),equivalent(Z,Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,31,14]) ).
cnf(627,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,44,yql,18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL257-1 : TPTP v8.1.0. Released v2.0.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.14/0.33 % Computer : n014.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
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 600
% 0.14/0.33 % DateTime : Sat Jul 2 16:42:55 EDT 2022
% 0.14/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-02T16:42:55
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2022-07-02T16:42:55
% 0.56/0.72
% 0.56/0.72
% 0.56/0.72 #||
% 0.56/0.72 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.56/0.72 % SZS output start Refutation
% See solution above
% 0.56/0.72 ||#
% 0.56/0.72
% 0.56/0.72 ; Summary of computation:
% 0.56/0.72 ; 2238 formulas have been input or derived (from 44 formulas).
% 0.56/0.72 ; 627 (28%) were retained. Of these,
% 0.56/0.72 ; 8 ( 1%) were simplified or subsumed later,
% 0.56/0.72 ; 619 (99%) are still being kept.
% 0.56/0.72 ;
% 0.56/0.72 ; Run time in seconds excluding printing time:
% 0.56/0.72 ; 0.001 0% Read assertion file (1 call)
% 0.56/0.72 ; 0.000 0% Assert (3 calls)
% 0.56/0.72 ; 0.060 23% Process new row (1,919 calls)
% 0.56/0.72 ; 0.091 35% Resolution (86 calls)
% 0.56/0.72 ; 0.006 2% Paramodulation (43 calls)
% 0.56/0.72 ; 0.000 0% Condensing (1 call)
% 0.56/0.72 ; 0.000 0% Forward subsumption (1 call)
% 0.56/0.72 ; 0.001 0% Backward subsumption (1 call)
% 0.56/0.72 ; 0.037 14% Forward simplification (1,908 calls)
% 0.56/0.72 ; 0.033 13% Backward simplification (627 calls)
% 0.56/0.72 ; 0.000 0% Sortal reasoning (32 calls)
% 0.56/0.72 ; 0.000 0% Purity testing (1 call)
% 0.56/0.72 ; 0.033 13% Other
% 0.56/0.72 ; 0.262 Total
% 0.56/0.72 ; 0.266 Real time
% 0.56/0.72 ;
% 0.56/0.72 ; Term-hash-array has 1,862 terms in all.
% 0.56/0.72 ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 0.56/0.73 ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 0.56/0.73 ; Retrieved 0 possibly forward subsuming rows in 1 call.
% 0.56/0.73 ; Retrieved 0 possibly backward subsumed rows in 1 call.
% 0.56/0.73 ; Path-index has 1,847 entries (1,847 at peak, 1,871 added, 24 deleted).
% 0.56/0.73 ; Path-index has 929 nodes (929 at peak, 929 added, 0 deleted).
% 0.56/0.73 ; Trie-index has 1,847 entries (1,847 at peak, 1,871 added, 24 deleted).
% 0.56/0.73 ; Trie-index has 3,949 nodes (3,949 at peak, 4,079 added, 130 deleted).
% 0.56/0.73 ; Retrieved 14,629 generalization terms in 1,906 calls.
% 0.56/0.73 ; Retrieved 7,860 instance terms in 625 calls.
% 0.56/0.73 ; Retrieved 82,241 unifiable terms in 1,623 calls.
% 0.56/0.73 ;
% 0.56/0.73 ; The agenda of rows to process has 109 entries:
% 0.56/0.73 ; 8 with value 13 20 with value 24 3 with value 30
% 0.56/0.73 ; 1 with value 17 8 with value 25 1 with value 31
% 0.56/0.73 ; 20 with value 19 1 with value 26 1 with value 32
% 0.56/0.73 ; 6 with value 20 1 with value 27 8 with value 33
% 0.56/0.73 ; 4 with value 21 11 with value 28 2 with value 37
% 0.56/0.73 ; 4 with value 23 10 with value 29
% 0.56/0.73 ; The agenda of rows to give has 578 entries:
% 0.56/0.73 ; 20 with value (4 23) 64 with value (4 29) 10 with value (4 35)
% 0.56/0.73 ; 34 with value (4 24) 31 with value (4 30) 25 with value (4 36)
% 0.56/0.73 ; 32 with value (4 25) 29 with value (4 31) 27 with value (4 37)
% 0.56/0.73 ; 27 with value (4 26) 66 with value (4 32) 6 with value (4 38)
% 0.56/0.73 ; 47 with value (4 27) 38 with value (4 33) 2 with value (4 40)
% 0.56/0.73 ; 103 with value (4 28) 17 with value (4 34)
% 0.56/0.73 Evaluation took:
% 0.56/0.73 0.266 seconds of real time
% 0.56/0.73 0.239474 seconds of user run time
% 0.56/0.73 0.024958 seconds of system run time
% 0.56/0.73 [Run times include 0.01 seconds GC run time.]
% 0.56/0.73 0 calls to %EVAL
% 0.56/0.73 0 page faults and
% 0.56/0.73 14,832,728 bytes consed.
% 0.56/0.73 :PROOF-FOUND
% 0.56/0.73 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-02T16:42:55
% 0.56/0.73 :PROOF-FOUND
% 0.56/0.73 *
%------------------------------------------------------------------------------