TSTP Solution File: LCL098-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL098-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n015.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 14:20:10 EDT 2022
% Result : Unsatisfiable 46.37s 46.56s
% Output : Refutation 46.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of clauses : 11 ( 10 unt; 0 nHn; 3 RR)
% Number of literals : 13 ( 0 equ; 3 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 48 ( 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_3,axiom,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X,Y),equivalent(X,Z)),U),equivalent(equivalent(Y,Z),U)),V),V)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lg_3) ).
cnf(prove_lg_4,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_lg_4) ).
cnf(4,plain,
is_a_theorem(equivalent(equivalent(equivalent(X,Y),Z),equivalent(equivalent(U,Y),equivalent(equivalent(X,U),Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,lg_3,lg_3]) ).
cnf(8,plain,
is_a_theorem(equivalent(equivalent(X,Y),equivalent(equivalent(equivalent(equivalent(Z,U),equivalent(Z,V)),X),equivalent(equivalent(U,V),Y)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,4,lg_3]) ).
cnf(9,plain,
is_a_theorem(equivalent(equivalent(X,Y),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(Z,U),equivalent(Z,V)),W),equivalent(equivalent(U,V),W)),X),Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,4,lg_3]) ).
cnf(19,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X,Y),equivalent(X,Z)),equivalent(equivalent(equivalent(U,V),equivalent(U,W)),X1)),equivalent(equivalent(Y,Z),equivalent(equivalent(V,W),X1)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,8,lg_3]) ).
cnf(27,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X,Y),equivalent(X,Z)),U),equivalent(equivalent(Y,Z),U)),equivalent(equivalent(equivalent(V,W),equivalent(V,X1)),Y1)),equivalent(equivalent(W,X1),Y1))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,9,lg_3]) ).
cnf(424,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X,Y),equivalent(equivalent(Z,X),U)),V),equivalent(equivalent(equivalent(Z,Y),U),V))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,19,lg_3]) ).
cnf(531,plain,
is_a_theorem(equivalent(equivalent(equivalent(X,equivalent(equivalent(Y,Z),U)),V),equivalent(equivalent(X,equivalent(equivalent(equivalent(W,Y),equivalent(W,Z)),U)),V))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,424,lg_3]) ).
cnf(42438,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,27,531,prove_lg_4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL098-1 : TPTP v8.1.0. Released v1.0.0.
% 0.13/0.13 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n015.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Mon Jul 4 21:10:02 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.47 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.48 *
% 0.21/0.48 *
% 0.21/0.48 #<PACKAGE "SNARK-USER">
% 0.21/0.48 *
% 0.21/0.48 SNARK-TPTP-OPTIONS
% 0.21/0.48 *
% 0.21/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48 (USE-FACTORING :POS)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48 *
% 0.21/0.48 "."
% 0.21/0.48 *
% 0.21/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-04T21:10:02
% 0.21/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-07-04T21:10:02
% 46.37/46.56
% 46.37/46.56
% 46.37/46.56 #||
% 46.37/46.56 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 46.37/46.56 % SZS output start Refutation
% See solution above
% 46.37/46.57 ||#
% 46.37/46.57
% 46.37/46.57 ; Summary of computation:
% 46.37/46.57 ; 68596 formulas have been input or derived (from 298 formulas).
% 46.37/46.57 ; 42438 (62%) were retained. Of these,
% 46.37/46.57 ; 42438 (100%) are still being kept.
% 46.37/46.57 ;
% 46.37/46.57 ; Run time in seconds excluding printing time:
% 46.37/46.57 ; 0.001 0% Read assertion file (1 call)
% 46.37/46.57 ; 0.000 0% Assert (3 calls)
% 46.37/46.57 ; 15.726 34% Process new row (67,298 calls)
% 46.37/46.57 ; 14.214 31% Resolution (594 calls)
% 46.37/46.57 ; 3.837 8% Paramodulation (297 calls)
% 46.37/46.57 ; 0.000 0% Condensing (1 call)
% 46.37/46.57 ; 0.000 0% Forward subsumption (1 call)
% 46.37/46.57 ; 0.000 0% Backward subsumption (1 call)
% 46.37/46.57 ; 5.388 12% Forward simplification (67,298 calls)
% 46.37/46.57 ; 6.639 14% Backward simplification (42,438 calls)
% 46.37/46.57 ; 0.000 0% Sortal reasoning (32 calls)
% 46.37/46.57 ; 0.000 0% Purity testing (1 call)
% 46.37/46.57 ; 0.273 1% Other
% 46.37/46.57 ; 46.078 Total
% 46.37/46.57 ; 46.082 Real time
% 46.37/46.57 ;
% 46.37/46.57 ; Term-hash-array has 149,666 terms in all.
% 46.37/46.57 ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 46.37/46.57 ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 46.37/46.57 ; Retrieved 0 possibly forward subsuming rows in 1 call.
% 46.37/46.57 ; Retrieved 0 possibly backward subsumed rows in 1 call.
% 46.37/46.57 ; Path-index has 149,671 entries (149,671 at peak, 149,671 added, 0 deleted).
% 46.37/46.57 ; Path-index has 3,056 nodes (3,056 at peak, 3,056 added, 0 deleted).
% 46.37/46.57 ; Trie-index has 149,671 entries (149,671 at peak, 149,671 added, 0 deleted).
% 46.37/46.57 ; Trie-index has 1,023,115 nodes (1,023,115 at peak, 1,023,115 added, 0 deleted).
% 46.37/46.57 ; Retrieved 511,682 generalization terms in 67,295 calls.
% 46.37/46.57 ; Retrieved 128,090 instance terms in 42,436 calls.
% 46.37/46.57 ; Retrieved 7,510,887 unifiable terms in 29,314 calls.
% 46.37/46.57 ;
% 46.37/46.57 ; The agenda of rows to process has 892 entries:
% 46.37/46.57 ; 4 with value 25 8 with value 47 25 with value 62
% 46.37/46.57 ; 1 with value 29 18 with value 48 25 with value 63
% 46.37/46.57 ; 16 with value 30 34 with value 49 52 with value 64
% 46.37/46.57 ; 4 with value 31 30 with value 50 25 with value 65
% 46.37/46.57 ; 6 with value 34 23 with value 51 59 with value 66
% 46.37/46.57 ; 6 with value 35 7 with value 52 50 with value 67
% 46.37/46.57 ; 20 with value 36 7 with value 53 11 with value 68
% 46.37/46.57 ; 4 with value 38 13 with value 54 13 with value 69
% 46.37/46.57 ; 14 with value 39 16 with value 55 11 with value 70
% 46.37/46.57 ; 20 with value 40 11 with value 56 20 with value 71
% 46.37/46.57 ; 18 with value 41 5 with value 57 17 with value 72
% 46.37/46.57 ; 27 with value 42 18 with value 58 11 with value 73
% 46.37/46.57 ; 12 with value 43 30 with value 59 9 with value 74
% 46.37/46.57 ; 19 with value 44 40 with value 60 33 with value 75
% 46.37/46.57 ; 24 with value 45 31 with value 61 8 with value 76
% 46.37/46.57 ; 37 with value 46
% 46.37/46.57 ; The agenda of rows to give has 42140 entries:
% 46.37/46.57 ; 106 with value (4 42) 730 with value (4 54) 2444 with value (4 66)
% 46.37/46.57 ; 92 with value (4 43) 1155 with value (4 55) 3287 with value (4 67)
% 46.37/46.57 ; 84 with value (4 44) 1406 with value (4 56) 2113 with value (4 68)
% 46.37/46.57 ; 118 with value (4 45) 1445 with value (4 57) 1269 with value (4 69)
% 46.37/46.57 ; 246 with value (4 46) 1175 with value (4 58) 977 with value (4 70)
% 46.37/46.57 ; 327 with value (4 47) 1941 with value (4 59) 2806 with value (4 71)
% 46.37/46.57 ; 243 with value (4 48) 2309 with value (4 60) 1312 with value (4 72)
% 46.37/46.57 ; 230 with value (4 49) 2690 with value (4 61) 299 with value (4 73)
% 46.37/46.57 ; 363 with value (4 50) 2236 with value (4 62) 35 with value (4 74)
% 46.37/46.57 ; 590 with value (4 51) 2689 with value (4 63) 99 with value (4 75)
% 46.37/46.57 ; 696 with value (4 52) 2895 with value (4 64) 24 with value (4 76)
% 46.37/46.57 ; 545 with value (4 53) 3164 with value (4 65)
% 46.37/46.57 Evaluation took:
% 46.37/46.57 46.088 seconds of real time
% 46.37/46.57 44.630123 seconds of user run time
% 46.37/46.57 1.455683 seconds of system run time
% 46.37/46.57 [Run times include 11.327 seconds GC run time.]
% 46.37/46.57 0 calls to %EVAL
% 46.37/46.57 0 page faults and
% 46.37/46.57 1,846,734,520 bytes consed.
% 46.37/46.57 :PROOF-FOUND
% 46.37/46.57 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-04T21:10:48
% 46.37/46.57 :PROOF-FOUND
% 46.37/46.57 *
%------------------------------------------------------------------------------