TSTP Solution File: LCL121-1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL121-1 : 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 14:20:23 EDT 2022
% Result : Unsatisfiable 24.73s 24.93s
% Output : Refutation 24.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 3
% Syntax : Number of clauses : 28 ( 27 unt; 0 nHn; 4 RR)
% Number of literals : 30 ( 0 equ; 4 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 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 : 91 ( 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(lg_2,axiom,
is_a_theorem(equivalent(X,equivalent(X,equivalent(equivalent(Y,Z),equivalent(equivalent(Y,U),equivalent(Z,U)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lg_2) ).
cnf(prove_lg_1,negated_conjecture,
~ is_a_theorem(equivalent(a,equivalent(a,equivalent(equivalent(b,equivalent(c,c)),b)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_lg_1) ).
cnf(4,plain,
is_a_theorem(equivalent(equivalent(X,equivalent(X,equivalent(equivalent(Y,Z),equivalent(equivalent(Y,U),equivalent(Z,U))))),equivalent(equivalent(V,W),equivalent(equivalent(V,X1),equivalent(W,X1))))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,lg_2,lg_2]) ).
cnf(6,plain,
is_a_theorem(equivalent(equivalent(X,Y),equivalent(equivalent(X,Z),equivalent(Y,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,4,lg_2]) ).
cnf(9,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,6,6]) ).
cnf(14,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,9,6]) ).
cnf(16,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X,Y),Z),U),equivalent(equivalent(equivalent(equivalent(X,V),equivalent(Y,V)),Z),U))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,9,6]) ).
cnf(21,plain,
is_a_theorem(equivalent(equivalent(equivalent(X,Y),Z),equivalent(equivalent(X,Y),Z))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,14,14]) ).
cnf(24,plain,
is_a_theorem(equivalent(equivalent(equivalent(X,equivalent(equivalent(Y,Z),equivalent(U,Z))),V),equivalent(equivalent(X,equivalent(Y,U)),V))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,14,4]) ).
cnf(27,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,21,9]) ).
cnf(30,plain,
is_a_theorem(equivalent(equivalent(X,Y),equivalent(X,Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,27,14]) ).
cnf(31,plain,
is_a_theorem(equivalent(equivalent(X,equivalent(equivalent(Y,Z),equivalent(U,Z))),equivalent(X,equivalent(Y,U)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,27,4]) ).
cnf(36,plain,
is_a_theorem(equivalent(equivalent(equivalent(X,Y),equivalent(Z,Y)),equivalent(X,Z))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,30,9]) ).
cnf(39,plain,
is_a_theorem(equivalent(X,X)),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,36,30]) ).
cnf(41,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X,Y),equivalent(Z,Y)),U),equivalent(equivalent(X,Z),U))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,36,6]) ).
cnf(42,plain,
~ is_a_theorem(equivalent(equivalent(a,X),equivalent(equivalent(a,equivalent(equivalent(b,equivalent(c,c)),b)),X))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,36,prove_lg_1]) ).
cnf(47,plain,
is_a_theorem(equivalent(equivalent(equivalent(X,Y),equivalent(Z,equivalent(Y,U))),equivalent(equivalent(X,U),Z))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,31,9]) ).
cnf(82,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X,Y),equivalent(Z,Y)),equivalent(U,Z)),equivalent(equivalent(X,V),equivalent(U,V)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,16,14]) ).
cnf(123,plain,
is_a_theorem(equivalent(equivalent(equivalent(X,Y),Z),equivalent(equivalent(X,U),equivalent(Z,equivalent(U,Y))))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,41,41]) ).
cnf(136,plain,
is_a_theorem(equivalent(equivalent(X,Y),equivalent(equivalent(X,equivalent(Z,Z)),Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,82,31]) ).
cnf(145,plain,
is_a_theorem(equivalent(equivalent(X,equivalent(Y,Y)),X)),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,136,39]) ).
cnf(207,plain,
is_a_theorem(equivalent(equivalent(equivalent(X,Y),equivalent(equivalent(Z,Z),Y)),X)),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,145,9]) ).
cnf(211,plain,
is_a_theorem(equivalent(equivalent(equivalent(X,equivalent(equivalent(Y,Y),Z)),Z),X)),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,145,47]) ).
cnf(774,plain,
is_a_theorem(equivalent(equivalent(equivalent(X,equivalent(Y,Z)),equivalent(Z,Y)),X)),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,24,207]) ).
cnf(1059,plain,
is_a_theorem(equivalent(equivalent(equivalent(X,equivalent(equivalent(Y,Y),Z)),U),equivalent(X,equivalent(U,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,123,211]) ).
cnf(1064,plain,
is_a_theorem(equivalent(equivalent(equivalent(X,equivalent(Y,Z)),U),equivalent(X,equivalent(U,equivalent(Z,Y))))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,123,774]) ).
cnf(12120,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,1064,1059,42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL121-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n029.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 17:05:55 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-02T17:05:55
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-07-02T17:05:55
% 24.73/24.93
% 24.73/24.93
% 24.73/24.93 #||
% 24.73/24.93 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 24.73/24.93 % SZS output start Refutation
% See solution above
% 24.73/24.93 ||#
% 24.73/24.93
% 24.73/24.93 ; Summary of computation:
% 24.73/24.93 ; 68392 formulas have been input or derived (from 225 formulas).
% 24.73/24.93 ; 12120 (18%) were retained. Of these,
% 24.73/24.93 ; 11 ( 0%) were simplified or subsumed later,
% 24.73/24.93 ; 12109 (100%) are still being kept.
% 24.73/24.93 ;
% 24.73/24.93 ; Run time in seconds excluding printing time:
% 24.73/24.93 ; 0.002 0% Read assertion file (1 call)
% 24.73/24.93 ; 0.000 0% Assert (3 calls)
% 24.73/24.93 ; 1.661 7% Process new row (59,473 calls)
% 24.73/24.93 ; 19.012 78% Resolution (448 calls)
% 24.73/24.93 ; 0.523 2% Paramodulation (224 calls)
% 24.73/24.93 ; 0.000 0% Condensing (1 call)
% 24.73/24.93 ; 0.000 0% Forward subsumption (1 call)
% 24.73/24.93 ; 0.000 0% Backward subsumption (1 call)
% 24.73/24.93 ; 1.566 6% Forward simplification (59,467 calls)
% 24.73/24.93 ; 1.487 6% Backward simplification (12,120 calls)
% 24.73/24.93 ; 0.000 0% Sortal reasoning (32 calls)
% 24.73/24.93 ; 0.000 0% Purity testing (1 call)
% 24.73/24.93 ; 0.207 1% Other
% 24.73/24.93 ; 24.458 Total
% 24.73/24.93 ; 24.462 Real time
% 24.73/24.93 ;
% 24.73/24.93 ; Term-hash-array has 34,448 terms in all.
% 24.73/24.93 ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 24.73/24.93 ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 24.73/24.93 ; Retrieved 0 possibly forward subsuming rows in 1 call.
% 24.73/24.93 ; Retrieved 0 possibly backward subsumed rows in 1 call.
% 24.73/24.93 ; Path-index has 34,429 entries (34,429 at peak, 34,458 added, 29 deleted).
% 24.73/24.93 ; Path-index has 2,494 nodes (2,494 at peak, 2,498 added, 4 deleted).
% 24.73/24.93 ; Trie-index has 34,429 entries (34,429 at peak, 34,458 added, 29 deleted).
% 24.73/24.93 ; Trie-index has 86,750 nodes (86,750 at peak, 86,925 added, 175 deleted).
% 24.73/24.93 ; Retrieved 943,828 generalization terms in 59,468 calls.
% 24.73/24.93 ; Retrieved 236,903 instance terms in 12,118 calls.
% 24.73/24.93 ; Retrieved 36,481,809 unifiable terms in 36,688 calls.
% 24.73/24.93 ;
% 24.73/24.93 ; The agenda of rows to process has 681 entries:
% 24.73/24.93 ; 8 with value 25 2 with value 37 8 with value 46
% 24.73/24.93 ; 4 with value 26 50 with value 39 4 with value 48
% 24.73/24.93 ; 28 with value 30 131 with value 40 6 with value 49
% 24.73/24.93 ; 32 with value 31 60 with value 41 6 with value 50
% 24.73/24.93 ; 1 with value 32 2 with value 42 1 with value 53
% 24.73/24.93 ; 18 with value 34 28 with value 44 6 with value 54
% 24.73/24.93 ; 134 with value 35 59 with value 45 1 with value 62
% 24.73/24.93 ; 92 with value 36
% 24.73/24.93 ; The agenda of rows to give has 11887 entries:
% 24.73/24.93 ; 38 with value (4 34) 1525 with value (4 45) 70 with value (4 56)
% 24.73/24.93 ; 142 with value (4 35) 576 with value (4 46) 35 with value (4 57)
% 24.73/24.93 ; 154 with value (4 36) 409 with value (4 47) 35 with value (4 58)
% 24.73/24.93 ; 164 with value (4 37) 564 with value (4 48) 49 with value (4 59)
% 24.73/24.93 ; 369 with value (4 38) 650 with value (4 49) 38 with value (4 60)
% 24.73/24.93 ; 776 with value (4 39) 389 with value (4 50) 51 with value (4 61)
% 24.73/24.93 ; 788 with value (4 40) 263 with value (4 51) 46 with value (4 62)
% 24.73/24.93 ; 519 with value (4 41) 369 with value (4 52) 6 with value (4 63)
% 24.73/24.93 ; 541 with value (4 42) 403 with value (4 53) 2 with value (4 64)
% 24.73/24.93 ; 911 with value (4 43) 299 with value (4 54) 1 with value (4 65)
% 24.73/24.93 ; 1611 with value (4 44) 94 with value (4 55)
% 24.73/24.93 Evaluation took:
% 24.73/24.93 24.463 seconds of real time
% 24.73/24.93 24.025152 seconds of user run time
% 24.73/24.93 0.437123 seconds of system run time
% 24.73/24.93 [Run times include 1.409 seconds GC run time.]
% 24.73/24.93 0 calls to %EVAL
% 24.73/24.93 0 page faults and
% 24.73/24.93 809,440,352 bytes consed.
% 24.73/24.93 :PROOF-FOUND
% 24.73/24.93 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-02T17:06:19
% 24.73/24.93 :PROOF-FOUND
% 24.73/24.93 *
%------------------------------------------------------------------------------