TSTP Solution File: LCL048-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL048-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n005.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 14:19:46 EDT 2022
% Result : Unsatisfiable 57.59s 57.78s
% Output : Refutation 57.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of clauses : 26 ( 25 unt; 0 nHn; 6 RR)
% Number of literals : 28 ( 0 equ; 6 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; 3 con; 0-2 aty)
% Number of variables : 59 ( 15 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(implies(X,Y))
| ~ is_a_theorem(X)
| is_a_theorem(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(cn_1,axiom,
is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_1) ).
cnf(cn_2,axiom,
is_a_theorem(implies(implies(not(X),X),X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_2) ).
cnf(cn_3,axiom,
is_a_theorem(implies(X,implies(not(X),Y))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_3) ).
cnf(prove_cn_19,negated_conjecture,
~ is_a_theorem(implies(implies(implies(a,b),c),implies(b,c))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_19) ).
cnf(11,plain,
~ is_a_theorem(implies(b,implies(a,b))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,cn_1,prove_cn_19]) ).
cnf(12,plain,
is_a_theorem(implies(implies(X,Y),implies(implies(not(X),X),Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,cn_1,cn_2]) ).
cnf(13,plain,
is_a_theorem(implies(implies(implies(not(X),Y),Z),implies(X,Z))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,cn_1,cn_3]) ).
cnf(14,plain,
is_a_theorem(implies(implies(implies(implies(X,Y),implies(Z,Y)),U),implies(implies(Z,X),U))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,cn_1,cn_1]) ).
cnf(17,plain,
~ is_a_theorem(implies(implies(implies(not(X),X),X),implies(b,implies(a,b)))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,11,cn_2]) ).
cnf(46,plain,
is_a_theorem(implies(implies(implies(implies(not(X),X),Y),Z),implies(implies(X,Y),Z))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,12,cn_1]) ).
cnf(62,plain,
is_a_theorem(implies(X,X)),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,13,cn_2]) ).
cnf(75,plain,
is_a_theorem(implies(not(implies(X,X)),Y)),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,62,cn_3]) ).
cnf(81,plain,
is_a_theorem(implies(implies(X,Y),implies(not(implies(Z,Z)),Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,75,cn_1]) ).
cnf(244,plain,
~ is_a_theorem(implies(b,implies(not(implies(a,b)),implies(a,b)))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,17,cn_1]) ).
cnf(303,plain,
is_a_theorem(implies(X,implies(not(implies(Y,Y)),Z))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,81,13]) ).
cnf(715,plain,
is_a_theorem(implies(implies(X,not(Y)),implies(Y,implies(X,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,14,13]) ).
cnf(719,plain,
is_a_theorem(implies(implies(X,implies(Y,Z)),implies(implies(U,Y),implies(X,implies(U,Z))))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,14,14]) ).
cnf(772,plain,
is_a_theorem(implies(X,implies(Y,implies(not(X),Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,715,13]) ).
cnf(888,plain,
is_a_theorem(implies(implies(implies(X,implies(not(Y),Z)),U),implies(Y,U))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,772,cn_1]) ).
cnf(4051,plain,
is_a_theorem(implies(implies(X,implies(not(Y),Y)),implies(implies(Y,Z),implies(X,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,46,14]) ).
cnf(9653,plain,
is_a_theorem(implies(X,implies(implies(X,Y),implies(Z,Y)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,4051,888]) ).
cnf(9654,plain,
is_a_theorem(implies(implies(implies(X,X),Y),implies(Z,Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,4051,303]) ).
cnf(9859,plain,
is_a_theorem(implies(implies(X,implies(Y,Z)),implies(Y,implies(X,implies(U,Z))))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,9653,719]) ).
cnf(10355,plain,
is_a_theorem(implies(X,implies(Y,Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,9654,62]) ).
cnf(87706,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,9859,10355,244]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL048-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n005.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 : Mon Jul 4 10:00:37 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48 *
% 0.19/0.48 "."
% 0.19/0.48 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T10:00:37
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-07-04T10:00:37
% 57.59/57.78
% 57.59/57.78
% 57.59/57.78 #||
% 57.59/57.78 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 57.59/57.78 % SZS output start Refutation
% See solution above
% 57.59/57.78 ||#
% 57.59/57.78
% 57.59/57.78 ; Summary of computation:
% 57.59/57.78 ; 125297 formulas have been input or derived (from 708 formulas).
% 57.59/57.78 ; 87706 (70%) were retained. Of these,
% 57.59/57.78 ; 3045 ( 3%) were simplified or subsumed later,
% 57.59/57.78 ; 84661 (97%) are still being kept.
% 57.59/57.78 ;
% 57.59/57.78 ; Run time in seconds excluding printing time:
% 57.59/57.78 ; 0.001 0% Read assertion file (1 call)
% 57.59/57.78 ; 0.001 0% Assert (5 calls)
% 57.59/57.78 ; 15.167 26% Process new row (115,356 calls)
% 57.59/57.78 ; 26.370 46% Resolution (1,414 calls)
% 57.59/57.78 ; 1.446 3% Paramodulation (707 calls)
% 57.59/57.78 ; 0.000 0% Condensing (1 call)
% 57.59/57.78 ; 0.000 0% Forward subsumption (1 call)
% 57.59/57.78 ; 0.000 0% Backward subsumption (1 call)
% 57.59/57.78 ; 5.644 10% Forward simplification (115,295 calls)
% 57.59/57.78 ; 8.189 14% Backward simplification (87,706 calls)
% 57.59/57.78 ; 0.000 0% Sortal reasoning (32 calls)
% 57.59/57.78 ; 0.000 0% Purity testing (1 call)
% 57.59/57.78 ; 0.484 1% Other
% 57.59/57.78 ; 57.302 Total
% 57.59/57.78 ; 57.302 Real time
% 57.59/57.78 ;
% 57.59/57.78 ; Term-hash-array has 186,540 terms in all.
% 57.59/57.78 ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 57.59/57.78 ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 57.59/57.78 ; Retrieved 0 possibly forward subsuming rows in 1 call.
% 57.59/57.78 ; Retrieved 0 possibly backward subsumed rows in 1 call.
% 57.59/57.78 ; Path-index has 180,017 entries (180,017 at peak, 186,616 added, 6,599 deleted).
% 57.59/57.78 ; Path-index has 33,559 nodes (33,559 at peak, 33,601 added, 42 deleted).
% 57.59/57.78 ; Trie-index has 180,017 entries (180,017 at peak, 186,616 added, 6,599 deleted).
% 57.59/57.78 ; Trie-index has 723,345 nodes (723,345 at peak, 745,244 added, 21,899 deleted).
% 57.59/57.78 ; Retrieved 1,355,339 generalization terms in 115,292 calls.
% 57.59/57.78 ; Retrieved 381,126 instance terms in 87,704 calls.
% 57.59/57.78 ; Retrieved 50,168,743 unifiable terms in 34,955 calls.
% 57.59/57.78 ;
% 57.59/57.78 ; The agenda of rows to process has 974 entries:
% 57.59/57.78 ; 1 with value 14 33 with value 27 79 with value 38
% 57.59/57.78 ; 1 with value 17 55 with value 28 124 with value 39
% 57.59/57.78 ; 1 with value 18 45 with value 29 120 with value 40
% 57.59/57.78 ; 5 with value 19 30 with value 30 100 with value 41
% 57.59/57.78 ; 12 with value 20 46 with value 31 19 with value 42
% 57.59/57.78 ; 9 with value 21 14 with value 32 22 with value 43
% 57.59/57.78 ; 18 with value 22 29 with value 33 5 with value 44
% 57.59/57.78 ; 24 with value 23 23 with value 34 5 with value 45
% 57.59/57.78 ; 24 with value 24 21 with value 35 1 with value 49
% 57.59/57.78 ; 17 with value 25 35 with value 36 1 with value 50
% 57.59/57.78 ; 24 with value 26 30 with value 37 1 with value 52
% 57.59/57.78 ; The agenda of rows to give has 83980 entries:
% 57.59/57.78 ; 132 with value (4 25) 271 with value (4 45) 23 with value (4 64)
% 57.59/57.78 ; 377 with value (4 26) 221 with value (4 46) 48 with value (4 65)
% 57.59/57.78 ; 524 with value (4 27) 197 with value (4 47) 15 with value (4 66)
% 57.59/57.78 ; 826 with value (4 28) 190 with value (4 48) 18 with value (4 67)
% 57.59/57.78 ; 1152 with value (4 29) 163 with value (4 49) 23 with value (4 68)
% 57.59/57.78 ; 1466 with value (4 30) 129 with value (4 50) 15 with value (4 69)
% 57.59/57.78 ; 1951 with value (4 31) 126 with value (4 51) 11 with value (4 70)
% 57.59/57.78 ; 2696 with value (4 32) 130 with value (4 52) 17 with value (4 71)
% 57.59/57.78 ; 3734 with value (4 33) 86 with value (4 53) 14 with value (4 72)
% 57.59/57.78 ; 4839 with value (4 34) 97 with value (4 54) 5 with value (4 73)
% 57.59/57.78 ; 6166 with value (4 35) 60 with value (4 55) 12 with value (4 74)
% 57.59/57.78 ; 7214 with value (4 36) 64 with value (4 56) 15 with value (4 75)
% 57.59/57.78 ; 7849 with value (4 37) 39 with value (4 57) 7 with value (4 77)
% 57.59/57.78 ; 8075 with value (4 38) 61 with value (4 58) 13 with value (4 78)
% 57.59/57.78 ; 8647 with value (4 39) 57 with value (4 59) 3 with value (4 80)
% 57.59/57.78 ; 9315 with value (4 40) 29 with value (4 60) 4 with value (4 81)
% 57.59/57.78 ; 7723 with value (4 41) 37 with value (4 61) 2 with value (4 83)
% 57.59/57.78 ; 5617 with value (4 42) 43 with value (4 62) 3 with value (4 84)
% 57.59/57.78 ; 2617 with value (4 43) 33 with value (4 63) 1 with value (4 87)
% 57.59/57.78 ; 778 with value (4 44)
% 57.59/57.78 Evaluation took:
% 57.59/57.78 57.308 seconds of real time
% 57.59/57.78 55.24199 seconds of user run time
% 57.59/57.78 2.068114 seconds of system run time
% 57.59/57.78 [Run times include 14.272 seconds GC run time.]
% 57.59/57.78 0 calls to %EVAL
% 57.59/57.78 0 page faults and
% 57.59/57.78 2,026,048,112 bytes consed.
% 57.59/57.78 :PROOF-FOUND
% 57.59/57.78 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T10:01:35
% 57.59/57.78 :PROOF-FOUND
% 57.59/57.78 *
%------------------------------------------------------------------------------