TSTP Solution File: LCL102-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL102-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n021.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 14:20:12 EDT 2022
% Result : Unsatisfiable 0.18s 0.58s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of clauses : 14 ( 13 unt; 0 nHn; 4 RR)
% Number of literals : 16 ( 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 : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 40 ( 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(q_1,axiom,
is_a_theorem(equivalent(X,equivalent(equivalent(Y,Z),equivalent(equivalent(Z,Y),X)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',q_1) ).
cnf(q_2,axiom,
is_a_theorem(equivalent(equivalent(X,Y),equivalent(equivalent(Z,X),equivalent(Z,Y)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',q_2) ).
cnf(prove_p_1,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_p_1) ).
cnf(6,plain,
is_a_theorem(equivalent(equivalent(X,equivalent(Y,Z)),equivalent(X,equivalent(equivalent(U,Y),equivalent(U,Z))))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,q_2,q_2]) ).
cnf(7,plain,
is_a_theorem(equivalent(equivalent(X,Y),equivalent(X,equivalent(equivalent(Z,U),equivalent(equivalent(U,Z),Y))))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,q_1,q_2]) ).
cnf(12,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,lg_2,q_2]) ).
cnf(27,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X,Y),Z),equivalent(Y,U)),equivalent(Z,equivalent(X,U)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,12,6]) ).
cnf(64,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,7,12]) ).
cnf(94,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,27,lg_2]) ).
cnf(141,plain,
~ is_a_theorem(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(a,b),c)),equivalent(equivalent(a,e),c))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,64,prove_p_1]) ).
cnf(184,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,94,12]) ).
cnf(185,plain,
$false,
inference('REWRITE',[status(thm)],[141,184]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL102-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n021.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
% 0.12/0.34 % DateTime : Mon Jul 4 14:16:47 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.46 *
% 0.18/0.46 *
% 0.18/0.47 #<PACKAGE "SNARK-USER">
% 0.18/0.47 *
% 0.18/0.47 SNARK-TPTP-OPTIONS
% 0.18/0.47 *
% 0.18/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.47 (USE-FACTORING :POS)
% 0.18/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.47 *
% 0.18/0.47 "."
% 0.18/0.47 *
% 0.18/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-04T14:16:47
% 0.18/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-07-04T14:16:47
% 0.18/0.58
% 0.18/0.58
% 0.18/0.58 #||
% 0.18/0.58 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.58 % SZS output start Refutation
% See solution above
% 0.18/0.58 ||#
% 0.18/0.58
% 0.18/0.58 ; Summary of computation:
% 0.18/0.58 ; 722 formulas have been input or derived (from 24 formulas).
% 0.18/0.58 ; 185 (26%) were retained. Of these,
% 0.18/0.58 ; 4 ( 2%) were simplified or subsumed later,
% 0.18/0.58 ; 181 (98%) are still being kept.
% 0.18/0.58 ;
% 0.18/0.58 ; Run time in seconds excluding printing time:
% 0.18/0.58 ; 0.002 2% Read assertion file (1 call)
% 0.18/0.58 ; 0.000 0% Assert (5 calls)
% 0.18/0.58 ; 0.027 25% Process new row (555 calls)
% 0.18/0.58 ; 0.025 23% Resolution (46 calls)
% 0.18/0.58 ; 0.003 3% Paramodulation (23 calls)
% 0.18/0.58 ; 0.000 0% Condensing (1 call)
% 0.18/0.58 ; 0.000 0% Forward subsumption (1 call)
% 0.18/0.58 ; 0.000 0% Backward subsumption (1 call)
% 0.18/0.58 ; 0.016 15% Forward simplification (553 calls)
% 0.18/0.58 ; 0.008 7% Backward simplification (185 calls)
% 0.18/0.58 ; 0.000 0% Sortal reasoning (32 calls)
% 0.18/0.58 ; 0.001 1% Purity testing (1 call)
% 0.18/0.58 ; 0.025 23% Other
% 0.18/0.58 ; 0.107 Total
% 0.18/0.58 ; 0.109 Real time
% 0.18/0.58 ;
% 0.18/0.58 ; Term-hash-array has 849 terms in all.
% 0.18/0.58 ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 0.18/0.58 ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 0.18/0.58 ; Retrieved 0 possibly forward subsuming rows in 1 call.
% 0.18/0.58 ; Retrieved 0 possibly backward subsumed rows in 1 call.
% 0.18/0.58 ; Path-index has 841 entries (845 at peak, 853 added, 12 deleted).
% 0.18/0.58 ; Path-index has 736 nodes (745 at peak, 745 added, 9 deleted).
% 0.18/0.58 ; Trie-index has 841 entries (845 at peak, 853 added, 12 deleted).
% 0.18/0.58 ; Trie-index has 3,412 nodes (3,445 at peak, 3,474 added, 62 deleted).
% 0.18/0.58 ; Retrieved 1,656 generalization terms in 552 calls.
% 0.18/0.58 ; Retrieved 906 instance terms in 183 calls.
% 0.18/0.58 ; Retrieved 10,299 unifiable terms in 672 calls.
% 0.18/0.58 ;
% 0.18/0.58 ; The agenda of rows to process has 54 entries:
% 0.18/0.58 ; 3 with value 25 1 with value 31 6 with value 35
% 0.18/0.58 ; 6 with value 26 1 with value 32 1 with value 40
% 0.18/0.58 ; 18 with value 29 1 with value 34 1 with value 42
% 0.18/0.58 ; 16 with value 30
% 0.18/0.58 ; The agenda of rows to give has 158 entries:
% 0.18/0.58 ; 1 with value (4 16) 6 with value (4 30) 2 with value (4 37)
% 0.18/0.58 ; 5 with value (4 24) 3 with value (4 31) 1 with value (4 38)
% 0.18/0.58 ; 4 with value (4 25) 17 with value (4 32) 9 with value (4 39)
% 0.18/0.58 ; 1 with value (4 26) 13 with value (4 33) 7 with value (4 40)
% 0.18/0.58 ; 9 with value (4 27) 26 with value (4 34) 7 with value (4 41)
% 0.18/0.58 ; 18 with value (4 28) 10 with value (4 35) 3 with value (4 42)
% 0.18/0.58 ; 16 with value (4 29)
% 0.18/0.58 Evaluation took:
% 0.18/0.58 0.11 seconds of real time
% 0.18/0.58 0.093952 seconds of user run time
% 0.18/0.58 0.016004 seconds of system run time
% 0.18/0.58 0 calls to %EVAL
% 0.18/0.58 0 page faults and
% 0.18/0.58 6,916,024 bytes consed.
% 0.18/0.58 :PROOF-FOUND
% 0.18/0.58 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-04T14:16:47
% 0.18/0.58 :PROOF-FOUND
% 0.18/0.58 *
%------------------------------------------------------------------------------