TSTP Solution File: LCL101-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL101-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n020.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 14:20:11 EDT 2022
% Result : Unsatisfiable 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of clauses : 13 ( 12 unt; 0 nHn; 3 RR)
% Number of literals : 15 ( 0 equ; 3 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 : 37 ( 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(p_4,axiom,
is_a_theorem(equivalent(X,equivalent(equivalent(equivalent(equivalent(Y,Z),equivalent(Y,U)),equivalent(Z,U)),X))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_4) ).
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(7,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X,Y),equivalent(X,Z)),equivalent(Y,Z)),equivalent(equivalent(equivalent(U,V),equivalent(U,W)),equivalent(V,W)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,p_4,lg_2]) ).
cnf(11,plain,
is_a_theorem(equivalent(equivalent(equivalent(X,Y),equivalent(X,Z)),equivalent(Y,Z))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,7,lg_2]) ).
cnf(14,plain,
is_a_theorem(equivalent(equivalent(X,Y),equivalent(X,Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,11,7]) ).
cnf(16,plain,
is_a_theorem(equivalent(X,X)),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,14,11]) ).
cnf(17,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X,Y),equivalent(X,Z)),equivalent(Y,Z)),equivalent(U,U))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,16,p_4]) ).
cnf(19,plain,
is_a_theorem(equivalent(equivalent(X,Y),equivalent(equivalent(Z,X),equivalent(Z,Y)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,17,11]) ).
cnf(22,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,19,11]) ).
cnf(30,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X,Y),equivalent(X,Z)),U),equivalent(equivalent(Y,Z),U))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,22,p_4]) ).
cnf(66,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,30,30,prove_p_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL101-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n020.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 : Sat Jul 2 23:42:30 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-02T23:42:30
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-07-02T23:42:30
% 0.20/0.53
% 0.20/0.53
% 0.20/0.53 #||
% 0.20/0.53 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.53 % SZS output start Refutation
% See solution above
% 0.20/0.54 ||#
% 0.20/0.54
% 0.20/0.54 ; Summary of computation:
% 0.20/0.54 ; 255 formulas have been input or derived (from 16 formulas).
% 0.20/0.54 ; 66 (26%) were retained. Of these,
% 0.20/0.54 ; 1 ( 2%) were simplified or subsumed later,
% 0.20/0.54 ; 65 (98%) are still being kept.
% 0.20/0.54 ;
% 0.20/0.54 ; Run time in seconds excluding printing time:
% 0.20/0.54 ; 0.002 4% Read assertion file (1 call)
% 0.20/0.54 ; 0.000 0% Assert (4 calls)
% 0.20/0.54 ; 0.014 27% Process new row (173 calls)
% 0.20/0.54 ; 0.008 15% Resolution (30 calls)
% 0.20/0.54 ; 0.001 2% Paramodulation (15 calls)
% 0.20/0.54 ; 0.000 0% Condensing (1 call)
% 0.20/0.54 ; 0.000 0% Forward subsumption (1 call)
% 0.20/0.54 ; 0.000 0% Backward subsumption (1 call)
% 0.20/0.54 ; 0.000 0% Forward simplification (160 calls)
% 0.20/0.54 ; 0.004 8% Backward simplification (66 calls)
% 0.20/0.54 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.54 ; 0.000 0% Purity testing (1 call)
% 0.20/0.54 ; 0.023 44% Other
% 0.20/0.54 ; 0.052 Total
% 0.20/0.54 ; 0.055 Real time
% 0.20/0.54 ;
% 0.20/0.54 ; Term-hash-array has 271 terms in all.
% 0.20/0.54 ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 0.20/0.54 ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 0.20/0.54 ; Retrieved 0 possibly forward subsuming rows in 1 call.
% 0.20/0.54 ; Retrieved 0 possibly backward subsumed rows in 1 call.
% 0.20/0.54 ; Path-index has 273 entries (273 at peak, 275 added, 2 deleted).
% 0.20/0.54 ; Path-index has 514 nodes (514 at peak, 514 added, 0 deleted).
% 0.20/0.54 ; Trie-index has 273 entries (273 at peak, 275 added, 2 deleted).
% 0.20/0.54 ; Trie-index has 1,752 nodes (1,752 at peak, 1,756 added, 4 deleted).
% 0.20/0.54 ; Retrieved 369 generalization terms in 158 calls.
% 0.20/0.54 ; Retrieved 174 instance terms in 64 calls.
% 0.20/0.54 ; Retrieved 2,628 unifiable terms in 332 calls.
% 0.20/0.54 ;
% 0.20/0.54 ; The agenda of rows to process has 31 entries:
% 0.20/0.54 ; 1 with value 20 3 with value 34 1 with value 43
% 0.20/0.54 ; 4 with value 25 1 with value 35 1 with value 47
% 0.20/0.54 ; 16 with value 30 3 with value 39 1 with value 52
% 0.20/0.54 ; The agenda of rows to give has 50 entries:
% 0.20/0.54 ; 5 with value (4 29) 1 with value (4 39) 3 with value (4 47)
% 0.20/0.54 ; 1 with value (4 31) 3 with value (4 40) 1 with value (4 48)
% 0.20/0.54 ; 3 with value (4 33) 2 with value (4 41) 1 with value (4 49)
% 0.20/0.54 ; 8 with value (4 34) 3 with value (4 42) 2 with value (4 51)
% 0.20/0.54 ; 3 with value (4 35) 1 with value (4 43) 1 with value (4 52)
% 0.20/0.54 ; 4 with value (4 36) 2 with value (4 44) 1 with value (4 55)
% 0.20/0.54 ; 2 with value (4 38) 3 with value (4 46)
% 0.20/0.54 Evaluation took:
% 0.20/0.54 0.055 seconds of real time
% 0.20/0.54 0.04901 seconds of user run time
% 0.20/0.54 0.006143 seconds of system run time
% 0.20/0.54 0 calls to %EVAL
% 0.20/0.54 0 page faults and
% 0.20/0.54 3,898,352 bytes consed.
% 0.20/0.54 :PROOF-FOUND
% 0.20/0.54 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-02T23:42:30
% 0.20/0.54 :PROOF-FOUND
% 0.20/0.54 *
%------------------------------------------------------------------------------