TSTP Solution File: LCL379-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL379-1 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 14:22:29 EDT 2022
% Result : Unsatisfiable 15.04s 15.22s
% Output : Refutation 15.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of clauses : 25 ( 24 unt; 0 nHn; 8 RR)
% Number of literals : 27 ( 0 equ; 8 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 : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 54 ( 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_38,negated_conjecture,
~ is_a_theorem(implies(implies(x,not(x)),not(x))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_38) ).
cnf(8,plain,
~ is_a_theorem(implies(implies(implies(not(X),X),X),implies(implies(x,not(x)),not(x)))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,prove_cn_38,cn_2]) ).
cnf(11,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(12,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(13,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,11,cn_1]) ).
cnf(56,plain,
is_a_theorem(implies(X,implies(implies(not(not(X)),not(X)),Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,12,11]) ).
cnf(223,plain,
~ is_a_theorem(implies(implies(x,not(x)),implies(not(not(x)),not(x)))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,8,cn_1]) ).
cnf(241,plain,
~ is_a_theorem(implies(not(not(x)),x)),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,223,cn_1]) ).
cnf(277,plain,
~ is_a_theorem(implies(implies(implies(not(X),X),X),implies(not(not(x)),x))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,241,cn_2]) ).
cnf(576,plain,
is_a_theorem(implies(implies(X,not(Y)),implies(Y,implies(X,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,13,12]) ).
cnf(578,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,13,13]) ).
cnf(621,plain,
is_a_theorem(implies(X,implies(Y,implies(not(X),Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,576,12]) ).
cnf(664,plain,
is_a_theorem(implies(implies(implies(X,implies(not(Y),Z)),U),implies(Y,U))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,621,cn_1]) ).
cnf(1949,plain,
is_a_theorem(implies(implies(X,implies(not(Y),Y)),implies(implies(Y,Z),implies(X,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,39,13]) ).
cnf(3227,plain,
is_a_theorem(implies(implies(X,implies(not(not(Y)),not(Y))),implies(Y,implies(X,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,578,56]) ).
cnf(4849,plain,
~ is_a_theorem(implies(not(not(x)),implies(not(implies(not(x),x)),implies(not(x),x)))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,1949,277]) ).
cnf(14127,plain,
is_a_theorem(implies(not(X),implies(X,implies(Y,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,3227,664]) ).
cnf(14341,plain,
is_a_theorem(implies(implies(implies(X,implies(Y,Z)),U),implies(not(X),U))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,14127,cn_1]) ).
cnf(20969,plain,
is_a_theorem(implies(not(X),implies(Y,implies(X,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,14341,3227]) ).
cnf(20970,plain,
$false,
inference('REWRITE',[status(thm)],[4849,20969]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL379-1 : TPTP v8.1.0. Released v2.3.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n026.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 22:23:07 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.49 #<PACKAGE "SNARK-USER">
% 0.20/0.49 *
% 0.20/0.49 SNARK-TPTP-OPTIONS
% 0.20/0.49 *
% 0.20/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49 (USE-FACTORING :POS)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49 *
% 0.20/0.49 "."
% 0.20/0.49 *
% 0.20/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T22:23:07
% 0.20/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-07-04T22:23:07
% 15.04/15.22
% 15.04/15.22
% 15.04/15.22 #||
% 15.04/15.22 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.04/15.22 % SZS output start Refutation
% See solution above
% 15.04/15.22 ||#
% 15.04/15.22
% 15.04/15.22 ; Summary of computation:
% 15.04/15.22 ; 35127 formulas have been input or derived (from 280 formulas).
% 15.04/15.22 ; 20970 (60%) were retained. Of these,
% 15.04/15.22 ; 180 ( 1%) were simplified or subsumed later,
% 15.04/15.22 ; 20790 (99%) are still being kept.
% 15.04/15.22 ;
% 15.04/15.22 ; Run time in seconds excluding printing time:
% 15.04/15.22 ; 0.001 0% Read assertion file (1 call)
% 15.04/15.22 ; 0.000 0% Assert (5 calls)
% 15.04/15.22 ; 3.222 22% Process new row (31,510 calls)
% 15.04/15.22 ; 8.079 55% Resolution (558 calls)
% 15.04/15.22 ; 0.307 2% Paramodulation (279 calls)
% 15.04/15.22 ; 0.000 0% Condensing (1 call)
% 15.04/15.22 ; 0.000 0% Forward subsumption (1 call)
% 15.04/15.22 ; 0.000 0% Backward subsumption (1 call)
% 15.04/15.22 ; 1.475 10% Forward simplification (31,382 calls)
% 15.04/15.22 ; 1.470 10% Backward simplification (20,970 calls)
% 15.04/15.22 ; 0.000 0% Sortal reasoning (32 calls)
% 15.04/15.22 ; 0.000 0% Purity testing (1 call)
% 15.04/15.22 ; 0.174 1% Other
% 15.04/15.22 ; 14.728 Total
% 15.04/15.22 ; 14.732 Real time
% 15.04/15.22 ;
% 15.04/15.22 ; Term-hash-array has 47,356 terms in all.
% 15.04/15.22 ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 15.04/15.22 ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 15.04/15.22 ; Retrieved 0 possibly forward subsuming rows in 1 call.
% 15.04/15.22 ; Retrieved 0 possibly backward subsumed rows in 1 call.
% 15.04/15.22 ; Path-index has 46,903 entries (46,905 at peak, 47,419 added, 516 deleted).
% 15.04/15.22 ; Path-index has 16,932 nodes (16,932 at peak, 16,932 added, 0 deleted).
% 15.04/15.22 ; Trie-index has 46,903 entries (46,905 at peak, 47,419 added, 516 deleted).
% 15.04/15.22 ; Trie-index has 235,578 nodes (235,590 at peak, 236,935 added, 1,357 deleted).
% 15.04/15.22 ; Retrieved 294,819 generalization terms in 31,379 calls.
% 15.04/15.22 ; Retrieved 127,386 instance terms in 20,968 calls.
% 15.04/15.22 ; Retrieved 11,948,255 unifiable terms in 13,279 calls.
% 15.04/15.22 ;
% 15.04/15.22 ; The agenda of rows to process has 440 entries:
% 15.04/15.22 ; 4 with value 20 26 with value 29 31 with value 38
% 15.04/15.22 ; 7 with value 21 24 with value 30 50 with value 39
% 15.04/15.22 ; 24 with value 22 6 with value 31 20 with value 40
% 15.04/15.22 ; 15 with value 23 4 with value 32 23 with value 41
% 15.04/15.22 ; 10 with value 24 20 with value 33 6 with value 42
% 15.04/15.22 ; 21 with value 25 9 with value 34 1 with value 44
% 15.04/15.22 ; 22 with value 26 19 with value 35 1 with value 47
% 15.04/15.22 ; 31 with value 27 24 with value 36 1 with value 50
% 15.04/15.22 ; 25 with value 28 16 with value 37
% 15.04/15.22 ; The agenda of rows to give has 20514 entries:
% 15.04/15.22 ; 1 with value (4 19) 1612 with value (4 41) 16 with value (4 60)
% 15.04/15.22 ; 1 with value (4 20) 889 with value (4 42) 9 with value (4 61)
% 15.04/15.22 ; 10 with value (4 24) 154 with value (4 43) 23 with value (4 62)
% 15.04/15.22 ; 86 with value (4 25) 55 with value (4 44) 4 with value (4 63)
% 15.04/15.22 ; 103 with value (4 26) 36 with value (4 45) 14 with value (4 64)
% 15.04/15.22 ; 209 with value (4 27) 44 with value (4 46) 17 with value (4 65)
% 15.04/15.22 ; 324 with value (4 28) 37 with value (4 47) 7 with value (4 66)
% 15.04/15.22 ; 428 with value (4 29) 32 with value (4 48) 7 with value (4 67)
% 15.04/15.22 ; 486 with value (4 30) 42 with value (4 49) 12 with value (4 68)
% 15.04/15.22 ; 472 with value (4 31) 9 with value (4 50) 9 with value (4 69)
% 15.04/15.22 ; 855 with value (4 32) 15 with value (4 51) 6 with value (4 70)
% 15.04/15.22 ; 1050 with value (4 33) 25 with value (4 52) 12 with value (4 71)
% 15.04/15.22 ; 1268 with value (4 34) 21 with value (4 53) 1 with value (4 73)
% 15.04/15.22 ; 1517 with value (4 35) 14 with value (4 54) 14 with value (4 74)
% 15.04/15.22 ; 1655 with value (4 36) 16 with value (4 55) 2 with value (4 75)
% 15.04/15.22 ; 2101 with value (4 37) 26 with value (4 56) 1 with value (4 76)
% 15.04/15.22 ; 2165 with value (4 38) 9 with value (4 57) 7 with value (4 77)
% 15.04/15.22 ; 2353 with value (4 39) 20 with value (4 58) 1 with value (4 80)
% 15.04/15.22 ; 2200 with value (4 40) 11 with value (4 59) 1 with value (4 84)
% 15.04/15.22 Evaluation took:
% 15.04/15.22 14.735 seconds of real time
% 15.04/15.22 14.198585 seconds of user run time
% 15.04/15.22 0.53381 seconds of system run time
% 15.04/15.22 [Run times include 2.175 seconds GC run time.]
% 15.04/15.22 0 calls to %EVAL
% 15.04/15.22 0 page faults and
% 15.04/15.22 490,971,032 bytes consed.
% 15.04/15.22 :PROOF-FOUND
% 15.04/15.27 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T22:23:22
% 15.04/15.27 :PROOF-FOUND
% 15.04/15.27 *
%------------------------------------------------------------------------------