TSTP Solution File: LCL384-1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL384-1 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n008.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 14:22:31 EDT 2022
% Result : Unsatisfiable 77.66s 77.87s
% Output : Refutation 77.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of clauses : 23 ( 22 unt; 0 nHn; 6 RR)
% Number of literals : 25 ( 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 : 48 ( 10 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_45,negated_conjecture,
~ is_a_theorem(implies(implies(x,implies(y,z)),implies(implies(not(z),y),implies(x,z)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_45) ).
cnf(8,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(9,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(10,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(39,plain,
is_a_theorem(implies(implies(implies(implies(not(X),X),Y),Z),implies(implies(X,Y),Z))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,8,cn_1]) ).
cnf(53,plain,
is_a_theorem(implies(X,X)),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,9,cn_2]) ).
cnf(64,plain,
is_a_theorem(implies(not(implies(X,X)),Y)),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,53,cn_3]) ).
cnf(69,plain,
is_a_theorem(implies(implies(X,Y),implies(not(implies(Z,Z)),Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,64,cn_1]) ).
cnf(154,plain,
is_a_theorem(implies(X,implies(not(implies(Y,Y)),Z))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,69,9]) ).
cnf(263,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,10,10]) ).
cnf(723,plain,
is_a_theorem(implies(implies(X,implies(not(Y),Y)),implies(implies(Y,Z),implies(X,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,39,10]) ).
cnf(1119,plain,
~ is_a_theorem(implies(implies(not(z),y),implies(implies(y,z),z))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,263,prove_cn_45]) ).
cnf(1172,plain,
~ is_a_theorem(implies(implies(X,X),implies(implies(not(z),y),implies(implies(y,z),z)))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,1119,53]) ).
cnf(1858,plain,
is_a_theorem(implies(implies(implies(X,X),Y),implies(Z,Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,723,154]) ).
cnf(1993,plain,
is_a_theorem(implies(X,implies(implies(not(Y),Y),Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,1858,8]) ).
cnf(2108,plain,
is_a_theorem(implies(implies(X,implies(not(Y),Y)),implies(Z,implies(X,Y)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,1993,263]) ).
cnf(9763,plain,
~ is_a_theorem(implies(implies(not(z),y),implies(not(implies(implies(y,z),z)),implies(implies(y,z),z)))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,1172,723]) ).
cnf(80183,plain,
is_a_theorem(implies(implies(not(X),Y),implies(Z,implies(implies(Y,X),X)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,2108,10]) ).
cnf(80184,plain,
$false,
inference('REWRITE',[status(thm)],[9763,80183]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL384-1 : TPTP v8.1.0. Released v2.3.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n008.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 : Sun Jul 3 12:36:23 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-07-03T12:36:23
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-07-03T12:36:23
% 77.66/77.87
% 77.66/77.87
% 77.66/77.87 #||
% 77.66/77.87 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 77.66/77.87 % SZS output start Refutation
% See solution above
% 77.66/77.87 ||#
% 77.66/77.87
% 77.66/77.87 ; Summary of computation:
% 77.66/77.87 ; 129692 formulas have been input or derived (from 552 formulas).
% 77.66/77.87 ; 80184 (62%) were retained. Of these,
% 77.66/77.87 ; 2391 ( 3%) were simplified or subsumed later,
% 77.66/77.87 ; 77793 (97%) are still being kept.
% 77.66/77.87 ;
% 77.66/77.87 ; Run time in seconds excluding printing time:
% 77.66/77.87 ; 0.001 0% Read assertion file (1 call)
% 77.66/77.87 ; 0.001 0% Assert (5 calls)
% 77.66/77.87 ; 14.900 19% Process new row (117,281 calls)
% 77.66/77.87 ; 45.718 59% Resolution (1,102 calls)
% 77.66/77.87 ; 1.391 2% Paramodulation (551 calls)
% 77.66/77.87 ; 0.000 0% Condensing (1 call)
% 77.66/77.87 ; 0.000 0% Forward subsumption (1 call)
% 77.66/77.87 ; 0.000 0% Backward subsumption (1 call)
% 77.66/77.87 ; 6.191 8% Forward simplification (117,234 calls)
% 77.66/77.87 ; 8.648 11% Backward simplification (80,184 calls)
% 77.66/77.87 ; 0.000 0% Sortal reasoning (32 calls)
% 77.66/77.87 ; 0.000 0% Purity testing (1 call)
% 77.66/77.87 ; 0.518 1% Other
% 77.66/77.87 ; 77.368 Total
% 77.66/77.87 ; 77.390 Real time
% 77.66/77.88 ;
% 77.66/77.88 ; Term-hash-array has 175,212 terms in all.
% 77.66/77.88 ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 77.66/77.88 ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 77.66/77.88 ; Retrieved 0 possibly forward subsuming rows in 1 call.
% 77.66/77.88 ; Retrieved 0 possibly backward subsumed rows in 1 call.
% 77.66/77.88 ; Path-index has 170,132 entries (170,135 at peak, 175,317 added, 5,185 deleted).
% 77.66/77.88 ; Path-index has 33,928 nodes (33,928 at peak, 34,037 added, 109 deleted).
% 77.66/77.88 ; Trie-index has 170,132 entries (170,135 at peak, 175,317 added, 5,185 deleted).
% 77.66/77.88 ; Trie-index has 599,044 nodes (599,067 at peak, 613,627 added, 14,583 deleted).
% 77.66/77.88 ; Retrieved 1,675,810 generalization terms in 117,231 calls.
% 77.66/77.88 ; Retrieved 548,606 instance terms in 80,182 calls.
% 77.66/77.88 ; Retrieved 74,946,379 unifiable terms in 42,103 calls.
% 77.66/77.88 ;
% 77.66/77.88 ; The agenda of rows to process has 605 entries:
% 77.66/77.88 ; 11 with value 27 23 with value 36 13 with value 44
% 77.66/77.88 ; 55 with value 28 45 with value 37 4 with value 45
% 77.66/77.88 ; 26 with value 29 42 with value 38 2 with value 46
% 77.66/77.88 ; 14 with value 30 76 with value 39 2 with value 47
% 77.66/77.88 ; 33 with value 31 82 with value 40 1 with value 48
% 77.66/77.88 ; 20 with value 32 60 with value 41 1 with value 49
% 77.66/77.88 ; 34 with value 33 15 with value 42 1 with value 52
% 77.66/77.88 ; 18 with value 34 12 with value 43 1 with value 54
% 77.66/77.88 ; 14 with value 35
% 77.66/77.88 ; The agenda of rows to give has 77274 entries:
% 77.66/77.88 ; 3 with value (4 24) 935 with value (4 45) 17 with value (4 65)
% 77.66/77.88 ; 2 with value (4 25) 334 with value (4 46) 15 with value (4 66)
% 77.66/77.88 ; 180 with value (4 26) 159 with value (4 47) 4 with value (4 67)
% 77.66/77.88 ; 333 with value (4 27) 165 with value (4 48) 5 with value (4 68)
% 77.66/77.88 ; 605 with value (4 28) 150 with value (4 49) 2 with value (4 69)
% 77.66/77.88 ; 890 with value (4 29) 106 with value (4 50) 2 with value (4 70)
% 77.66/77.88 ; 1159 with value (4 30) 132 with value (4 51) 4 with value (4 71)
% 77.66/77.88 ; 1455 with value (4 31) 90 with value (4 52) 2 with value (4 72)
% 77.66/77.88 ; 2021 with value (4 32) 111 with value (4 53) 2 with value (4 73)
% 77.66/77.88 ; 3236 with value (4 33) 74 with value (4 54) 5 with value (4 74)
% 77.66/77.88 ; 4153 with value (4 34) 81 with value (4 55) 5 with value (4 75)
% 77.66/77.88 ; 5384 with value (4 35) 54 with value (4 56) 2 with value (4 76)
% 77.66/77.88 ; 6296 with value (4 36) 41 with value (4 57) 6 with value (4 77)
% 77.66/77.88 ; 6893 with value (4 37) 17 with value (4 58) 6 with value (4 78)
% 77.66/77.88 ; 7340 with value (4 38) 31 with value (4 59) 3 with value (4 79)
% 77.66/77.88 ; 6803 with value (4 39) 35 with value (4 60) 2 with value (4 81)
% 77.66/77.88 ; 7264 with value (4 40) 5 with value (4 61) 3 with value (4 82)
% 77.66/77.88 ; 6695 with value (4 41) 18 with value (4 62) 1 with value (4 85)
% 77.66/77.88 ; 6545 with value (4 42) 28 with value (4 63) 2 with value (4 88)
% 77.66/77.88 ; 4662 with value (4 43) 10 with value (4 64) 1 with value (4 91)
% 77.66/77.88 ; 2690 with value (4 44)
% 77.66/77.88 Evaluation took:
% 77.66/77.88 77.396 seconds of real time
% 77.66/77.88 74.97607 seconds of user run time
% 77.66/77.88 2.399151 seconds of system run time
% 77.66/77.88 [Run times include 17.239 seconds GC run time.]
% 77.66/77.88 0 calls to %EVAL
% 77.66/77.88 0 page faults and
% 77.66/77.88 2,134,396,024 bytes consed.
% 77.66/77.88 :PROOF-FOUND
% 77.66/77.88 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-03T12:37:40
% 77.66/77.88 :PROOF-FOUND
% 77.66/77.88 *
%------------------------------------------------------------------------------