TSTP Solution File: LCL126-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL126-1 : 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 14:20:24 EDT 2022
% Result : Unsatisfiable 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of clauses : 10 ( 9 unt; 0 nHn; 5 RR)
% Number of literals : 12 ( 0 equ; 5 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 : 21 ( 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(q_4,axiom,
is_a_theorem(equivalent(equivalent(X,Y),equivalent(equivalent(X,Z),equivalent(Y,Z)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',q_4) ).
cnf(prove_q_2,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(c,b)),equivalent(a,c))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_q_2) ).
cnf(5,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,q_4,q_4]) ).
cnf(11,plain,
~ is_a_theorem(equivalent(equivalent(a,c),equivalent(a,c))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,5,prove_q_2]) ).
cnf(12,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,5,q_4]) ).
cnf(25,plain,
~ is_a_theorem(equivalent(equivalent(a,X),equivalent(a,X))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,12,11]) ).
cnf(26,plain,
is_a_theorem(equivalent(equivalent(equivalent(X,Y),Z),equivalent(equivalent(X,Y),Z))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,12,12]) ).
cnf(36,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,26,5]) ).
cnf(59,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,36,12,25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL126-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n029.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 01:36:40 EDT 2022
% 0.20/0.33 % CPUTime :
% 0.20/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.45 *
% 0.20/0.45 *
% 0.20/0.46 #<PACKAGE "SNARK-USER">
% 0.20/0.46 *
% 0.20/0.46 SNARK-TPTP-OPTIONS
% 0.20/0.46 *
% 0.20/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.46 (USE-FACTORING :POS)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.46 *
% 0.20/0.46 "."
% 0.20/0.46 *
% 0.20/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-03T01:36:40
% 0.20/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-07-03T01:36:40
% 0.20/0.50
% 0.20/0.50
% 0.20/0.50 #||
% 0.20/0.50 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.50 % SZS output start Refutation
% See solution above
% 0.20/0.50 ||#
% 0.20/0.50
% 0.20/0.50 ; Summary of computation:
% 0.20/0.50 ; 151 formulas have been input or derived (from 14 formulas).
% 0.20/0.50 ; 59 (39%) were retained. Of these,
% 0.20/0.50 ; 4 ( 7%) were simplified or subsumed later,
% 0.20/0.50 ; 55 (93%) are still being kept.
% 0.20/0.50 ;
% 0.20/0.50 ; Run time in seconds excluding printing time:
% 0.20/0.50 ; 0.001 2% Read assertion file (1 call)
% 0.20/0.50 ; 0.000 0% Assert (4 calls)
% 0.20/0.50 ; 0.005 12% Process new row (106 calls)
% 0.20/0.50 ; 0.003 7% Resolution (26 calls)
% 0.20/0.50 ; 0.001 2% Paramodulation (13 calls)
% 0.20/0.50 ; 0.001 2% Condensing (1 call)
% 0.20/0.50 ; 0.000 0% Forward subsumption (1 call)
% 0.20/0.50 ; 0.000 0% Backward subsumption (1 call)
% 0.20/0.50 ; 0.006 14% Forward simplification (105 calls)
% 0.20/0.50 ; 0.003 7% Backward simplification (59 calls)
% 0.20/0.50 ; 0.001 2% Sortal reasoning (32 calls)
% 0.20/0.50 ; 0.000 0% Purity testing (1 call)
% 0.20/0.50 ; 0.021 50% Other
% 0.20/0.50 ; 0.042 Total
% 0.20/0.50 ; 0.043 Real time
% 0.20/0.50 ;
% 0.20/0.50 ; Term-hash-array has 203 terms in all.
% 0.20/0.50 ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 0.20/0.50 ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 0.20/0.50 ; Retrieved 0 possibly forward subsuming rows in 1 call.
% 0.20/0.50 ; Retrieved 0 possibly backward subsumed rows in 1 call.
% 0.20/0.50 ; Path-index has 198 entries (198 at peak, 206 added, 8 deleted).
% 0.20/0.50 ; Path-index has 328 nodes (328 at peak, 332 added, 4 deleted).
% 0.20/0.50 ; Trie-index has 198 entries (198 at peak, 206 added, 8 deleted).
% 0.20/0.50 ; Trie-index has 1,089 nodes (1,089 at peak, 1,121 added, 32 deleted).
% 0.20/0.50 ; Retrieved 204 generalization terms in 104 calls.
% 0.20/0.50 ; Retrieved 91 instance terms in 57 calls.
% 0.20/0.50 ; Retrieved 1,311 unifiable terms in 212 calls.
% 0.20/0.50 ;
% 0.20/0.50 ; The agenda of rows to process has 24 entries:
% 0.20/0.50 ; 1 with value 16 6 with value 31 1 with value 39
% 0.20/0.50 ; 3 with value 21 1 with value 35 1 with value 43
% 0.20/0.50 ; 7 with value 26 4 with value 36
% 0.20/0.50 ; The agenda of rows to give has 42 entries:
% 0.20/0.50 ; 1 with value (4 25) 2 with value (4 31) 2 with value (4 36)
% 0.20/0.50 ; 1 with value (4 26) 2 with value (4 32) 1 with value (4 37)
% 0.20/0.50 ; 5 with value (4 27) 5 with value (4 33) 3 with value (4 39)
% 0.20/0.50 ; 5 with value (4 28) 2 with value (4 34) 2 with value (4 43)
% 0.20/0.50 ; 4 with value (4 29) 1 with value (4 35) 1 with value (4 44)
% 0.20/0.50 ; 5 with value (4 30)
% 0.20/0.50 Evaluation took:
% 0.20/0.50 0.044 seconds of real time
% 0.20/0.50 0.038467 seconds of user run time
% 0.20/0.50 0.005032 seconds of system run time
% 0.20/0.50 0 calls to %EVAL
% 0.20/0.50 0 page faults and
% 0.20/0.50 2,976,624 bytes consed.
% 0.20/0.50 :PROOF-FOUND
% 0.20/0.50 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-03T01:36:40
% 0.20/0.50 :PROOF-FOUND
% 0.20/0.50 *
%------------------------------------------------------------------------------