TSTP Solution File: LCL367-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL367-1 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n021.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 14:22:25 EDT 2022
% Result : Unsatisfiable 36.21s 36.43s
% Output : Refutation 36.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of clauses : 25 ( 24 unt; 0 nHn; 5 RR)
% Number of literals : 27 ( 0 equ; 5 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 : 4 ( 4 usr; 2 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_17,negated_conjecture,
~ is_a_theorem(implies(x,implies(implies(y,x),x))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_17) ).
cnf(8,plain,
~ is_a_theorem(implies(implies(implies(not(X),X),X),implies(x,implies(implies(y,x),x)))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,prove_cn_17,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(53,plain,
is_a_theorem(implies(X,X)),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,12,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(228,plain,
is_a_theorem(implies(X,implies(not(implies(Y,Y)),Z))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,69,12]) ).
cnf(274,plain,
~ is_a_theorem(implies(x,implies(not(implies(implies(y,x),x)),implies(implies(y,x),x)))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,8,cn_1]) ).
cnf(393,plain,
is_a_theorem(implies(implies(X,not(Y)),implies(Y,implies(X,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,13,12]) ).
cnf(395,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(427,plain,
is_a_theorem(implies(X,implies(Y,implies(not(X),Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,393,12]) ).
cnf(478,plain,
is_a_theorem(implies(implies(implies(X,implies(not(Y),Z)),U),implies(Y,U))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,427,cn_1]) ).
cnf(1204,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(4138,plain,
is_a_theorem(implies(X,implies(implies(X,Y),implies(Z,Y)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,1204,478]) ).
cnf(4140,plain,
is_a_theorem(implies(implies(implies(X,X),Y),implies(Z,Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,1204,228]) ).
cnf(4236,plain,
is_a_theorem(implies(implies(X,implies(Y,Z)),implies(Y,implies(X,implies(U,Z))))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,4138,395]) ).
cnf(5036,plain,
is_a_theorem(implies(X,implies(Y,Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,4140,53]) ).
cnf(57697,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,4236,5036,274]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL367-1 : TPTP v8.1.0. Released v2.3.0.
% 0.13/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n021.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 20:04:02 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 *
% 0.19/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48 (USE-FACTORING :POS)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48 (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 2022-07-04T20:04:02
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-07-04T20:04:02
% 36.21/36.43
% 36.21/36.43
% 36.21/36.43 #||
% 36.21/36.43 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 36.21/36.43 % SZS output start Refutation
% See solution above
% 36.21/36.44 ||#
% 36.21/36.44
% 36.21/36.44 ; Summary of computation:
% 36.21/36.44 ; 86677 formulas have been input or derived (from 511 formulas).
% 36.21/36.44 ; 57697 (67%) were retained. Of these,
% 36.21/36.44 ; 3298 ( 6%) were simplified or subsumed later,
% 36.21/36.44 ; 54399 (94%) are still being kept.
% 36.21/36.44 ;
% 36.21/36.44 ; Run time in seconds excluding printing time:
% 36.21/36.44 ; 0.001 0% Read assertion file (1 call)
% 36.21/36.44 ; 0.001 0% Assert (5 calls)
% 36.21/36.44 ; 10.377 29% Process new row (79,550 calls)
% 36.21/36.44 ; 17.133 48% Resolution (1,020 calls)
% 36.21/36.44 ; 0.748 2% Paramodulation (510 calls)
% 36.21/36.44 ; 0.000 0% Condensing (1 call)
% 36.21/36.44 ; 0.000 0% Forward subsumption (1 call)
% 36.21/36.44 ; 0.000 0% Backward subsumption (1 call)
% 36.21/36.44 ; 2.633 7% Forward simplification (79,436 calls)
% 36.21/36.44 ; 4.735 13% Backward simplification (57,697 calls)
% 36.21/36.44 ; 0.000 0% Sortal reasoning (32 calls)
% 36.21/36.44 ; 0.000 0% Purity testing (1 call)
% 36.21/36.44 ; 0.325 1% Other
% 36.21/36.44 ; 35.953 Total
% 36.21/36.44 ; 35.961 Real time
% 36.21/36.44 ;
% 36.21/36.44 ; Term-hash-array has 124,407 terms in all.
% 36.21/36.44 ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 36.21/36.44 ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 36.21/36.44 ; Retrieved 0 possibly forward subsuming rows in 1 call.
% 36.21/36.44 ; Retrieved 0 possibly backward subsumed rows in 1 call.
% 36.21/36.44 ; Path-index has 117,498 entries (117,498 at peak, 124,484 added, 6,986 deleted).
% 36.21/36.44 ; Path-index has 28,975 nodes (28,975 at peak, 29,033 added, 58 deleted).
% 36.21/36.44 ; Trie-index has 117,498 entries (117,498 at peak, 124,484 added, 6,986 deleted).
% 36.21/36.44 ; Trie-index has 498,576 nodes (498,576 at peak, 518,985 added, 20,409 deleted).
% 36.21/36.44 ; Retrieved 885,433 generalization terms in 79,433 calls.
% 36.21/36.44 ; Retrieved 264,269 instance terms in 57,695 calls.
% 36.21/36.44 ; Retrieved 31,288,658 unifiable terms in 26,999 calls.
% 36.21/36.44 ;
% 36.21/36.44 ; The agenda of rows to process has 721 entries:
% 36.21/36.44 ; 1 with value 14 29 with value 27 48 with value 38
% 36.21/36.44 ; 1 with value 17 52 with value 28 63 with value 39
% 36.21/36.44 ; 1 with value 18 41 with value 29 87 with value 40
% 36.21/36.44 ; 5 with value 19 30 with value 30 54 with value 41
% 36.21/36.44 ; 8 with value 20 42 with value 31 22 with value 42
% 36.21/36.44 ; 7 with value 21 13 with value 32 10 with value 43
% 36.21/36.44 ; 14 with value 22 30 with value 33 1 with value 44
% 36.21/36.44 ; 23 with value 23 13 with value 34 1 with value 45
% 36.21/36.44 ; 21 with value 24 12 with value 35 1 with value 49
% 36.21/36.44 ; 16 with value 25 28 with value 36 1 with value 50
% 36.21/36.44 ; 24 with value 26 21 with value 37 1 with value 52
% 36.21/36.44 ; The agenda of rows to give has 53943 entries:
% 36.21/36.44 ; 93 with value (4 25) 410 with value (4 44) 32 with value (4 62)
% 36.21/36.44 ; 225 with value (4 26) 178 with value (4 45) 14 with value (4 63)
% 36.21/36.44 ; 368 with value (4 27) 135 with value (4 46) 19 with value (4 64)
% 36.21/36.44 ; 618 with value (4 28) 133 with value (4 47) 30 with value (4 65)
% 36.21/36.44 ; 749 with value (4 29) 139 with value (4 48) 5 with value (4 66)
% 36.21/36.44 ; 959 with value (4 30) 123 with value (4 49) 13 with value (4 67)
% 36.21/36.44 ; 1230 with value (4 31) 87 with value (4 50) 15 with value (4 68)
% 36.21/36.44 ; 1836 with value (4 32) 77 with value (4 51) 6 with value (4 69)
% 36.21/36.44 ; 2545 with value (4 33) 94 with value (4 52) 9 with value (4 70)
% 36.21/36.44 ; 2992 with value (4 34) 65 with value (4 53) 9 with value (4 71)
% 36.21/36.44 ; 3934 with value (4 35) 60 with value (4 54) 9 with value (4 72)
% 36.21/36.44 ; 4669 with value (4 36) 37 with value (4 55) 5 with value (4 73)
% 36.21/36.44 ; 4911 with value (4 37) 41 with value (4 56) 7 with value (4 74)
% 36.21/36.44 ; 5122 with value (4 38) 30 with value (4 57) 13 with value (4 75)
% 36.21/36.44 ; 5436 with value (4 39) 30 with value (4 58) 2 with value (4 76)
% 36.21/36.44 ; 5961 with value (4 40) 35 with value (4 59) 7 with value (4 77)
% 36.21/36.44 ; 5289 with value (4 41) 18 with value (4 60) 6 with value (4 78)
% 36.21/36.44 ; 3553 with value (4 42) 23 with value (4 61) 1 with value (4 84)
% 36.21/36.44 ; 1536 with value (4 43)
% 36.21/36.44 Evaluation took:
% 36.21/36.44 35.967 seconds of real time
% 36.21/36.44 34.707935 seconds of user run time
% 36.21/36.44 1.253776 seconds of system run time
% 36.21/36.44 [Run times include 7.215 seconds GC run time.]
% 36.21/36.44 0 calls to %EVAL
% 36.21/36.44 0 page faults and
% 36.21/36.44 1,318,204,488 bytes consed.
% 36.21/36.44 :PROOF-FOUND
% 36.21/36.44 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T20:04:38
% 36.21/36.44 :PROOF-FOUND
% 36.21/36.44 *
%------------------------------------------------------------------------------