TSTP Solution File: LCL011-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL011-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n006.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 14:19:33 EDT 2022
% Result : Unsatisfiable 0.38s 0.57s
% Output : Refutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of clauses : 12 ( 11 unt; 0 nHn; 3 RR)
% Number of literals : 14 ( 0 equ; 3 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 : 27 ( 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(yqj,axiom,
is_a_theorem(equivalent(equivalent(X,Y),equivalent(equivalent(Z,X),equivalent(Y,Z)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',yqj) ).
cnf(prove_yqf,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_yqf) ).
cnf(4,plain,
is_a_theorem(equivalent(equivalent(X,equivalent(Y,Z)),equivalent(equivalent(equivalent(U,Y),equivalent(Z,U)),X))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,yqj,yqj]) ).
cnf(6,plain,
is_a_theorem(equivalent(equivalent(equivalent(X,equivalent(Y,Z)),equivalent(equivalent(U,Y),X)),equivalent(Z,U))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,4,yqj]) ).
cnf(10,plain,
is_a_theorem(equivalent(X,equivalent(Y,equivalent(X,Y)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,6,4]) ).
cnf(15,plain,
is_a_theorem(equivalent(equivalent(equivalent(X,Y),equivalent(equivalent(Z,Y),X)),Z)),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,10,4]) ).
cnf(22,plain,
is_a_theorem(equivalent(X,X)),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,15,4]) ).
cnf(28,plain,
is_a_theorem(equivalent(equivalent(X,Y),equivalent(Y,X))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,22,yqj]) ).
cnf(33,plain,
is_a_theorem(equivalent(equivalent(X,equivalent(Y,Z)),equivalent(equivalent(Z,Y),X))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,28,yqj]) ).
cnf(267,plain,
is_a_theorem(equivalent(equivalent(equivalent(X,Y),equivalent(Y,Z)),equivalent(Z,X))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,33,yqj]) ).
cnf(270,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[condensed_detachment,33,prove_yqf]),267]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL011-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jul 3 22:07:52 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /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 2022-07-03T22:07:52
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n006.cluster.edu at 2022-07-03T22:07:52
% 0.38/0.57
% 0.38/0.57
% 0.38/0.57 #||
% 0.38/0.57 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.38/0.57 % SZS output start Refutation
% See solution above
% 0.38/0.58 ||#
% 0.38/0.58
% 0.38/0.58 ; Summary of computation:
% 0.38/0.58 ; 866 formulas have been input or derived (from 26 formulas).
% 0.38/0.58 ; 270 (31%) were retained. Of these,
% 0.38/0.58 ; 270 (100%) are still being kept.
% 0.38/0.58 ;
% 0.38/0.58 ; Run time in seconds excluding printing time:
% 0.38/0.58 ; 0.001 1% Read assertion file (1 call)
% 0.38/0.58 ; 0.000 0% Assert (3 calls)
% 0.38/0.58 ; 0.029 26% Process new row (730 calls)
% 0.38/0.58 ; 0.025 22% Resolution (50 calls)
% 0.38/0.58 ; 0.003 3% Paramodulation (25 calls)
% 0.38/0.58 ; 0.000 0% Condensing (1 call)
% 0.38/0.58 ; 0.000 0% Forward subsumption (1 call)
% 0.38/0.58 ; 0.000 0% Backward subsumption (1 call)
% 0.38/0.58 ; 0.010 9% Forward simplification (730 calls)
% 0.38/0.58 ; 0.015 13% Backward simplification (270 calls)
% 0.38/0.58 ; 0.000 0% Sortal reasoning (32 calls)
% 0.38/0.58 ; 0.000 0% Purity testing (1 call)
% 0.38/0.58 ; 0.029 26% Other
% 0.38/0.58 ; 0.112 Total
% 0.38/0.58 ; 0.114 Real time
% 0.38/0.58 ;
% 0.38/0.58 ; Term-hash-array has 828 terms in all.
% 0.38/0.58 ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 0.38/0.58 ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 0.38/0.58 ; Retrieved 0 possibly forward subsuming rows in 1 call.
% 0.38/0.58 ; Retrieved 0 possibly backward subsumed rows in 1 call.
% 0.38/0.58 ; Path-index has 831 entries (831 at peak, 831 added, 0 deleted).
% 0.38/0.58 ; Path-index has 702 nodes (702 at peak, 702 added, 0 deleted).
% 0.38/0.58 ; Trie-index has 831 entries (831 at peak, 831 added, 0 deleted).
% 0.38/0.58 ; Trie-index has 2,098 nodes (2,098 at peak, 2,098 added, 0 deleted).
% 0.38/0.58 ; Retrieved 3,072 generalization terms in 728 calls.
% 0.38/0.58 ; Retrieved 2,648 instance terms in 268 calls.
% 0.38/0.58 ; Retrieved 17,068 unifiable terms in 725 calls.
% 0.38/0.58 ;
% 0.38/0.58 ; The agenda of rows to process has 46 entries:
% 0.38/0.58 ; 7 with value 24 10 with value 29 4 with value 32
% 0.38/0.58 ; 8 with value 25 6 with value 30 1 with value 33
% 0.38/0.58 ; 4 with value 26 4 with value 31 1 with value 37
% 0.38/0.58 ; 1 with value 28
% 0.38/0.58 ; The agenda of rows to give has 244 entries:
% 0.38/0.58 ; 5 with value (4 23) 51 with value (4 28) 13 with value (4 33)
% 0.38/0.58 ; 19 with value (4 24) 19 with value (4 29) 5 with value (4 34)
% 0.38/0.58 ; 15 with value (4 25) 11 with value (4 30) 7 with value (4 35)
% 0.38/0.58 ; 16 with value (4 26) 13 with value (4 31) 8 with value (4 36)
% 0.38/0.58 ; 41 with value (4 27) 16 with value (4 32) 5 with value (4 37)
% 0.38/0.58 Evaluation took:
% 0.38/0.58 0.114 seconds of real time
% 0.38/0.58 0.101141 seconds of user run time
% 0.38/0.58 0.012937 seconds of system run time
% 0.38/0.58 0 calls to %EVAL
% 0.38/0.58 0 page faults and
% 0.38/0.58 6,477,920 bytes consed.
% 0.38/0.58 :PROOF-FOUND
% 0.38/0.58 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-03T22:07:52
% 0.38/0.58 :PROOF-FOUND
% 0.38/0.58 *
%------------------------------------------------------------------------------