TSTP Solution File: LCL402-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL402-1 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n013.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 14:22:38 EDT 2022
% Result : Unsatisfiable 36.89s 37.07s
% Output : Refutation 36.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of clauses : 36 ( 35 unt; 0 nHn; 7 RR)
% Number of literals : 38 ( 0 equ; 7 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 : 87 ( 30 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(implies(X,Y))
| ~ is_a_theorem(X)
| is_a_theorem(Y) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cn_1) ).
cnf(cn_2,axiom,
is_a_theorem(implies(implies(not(X),X),X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_2) ).
cnf(cn_3,axiom,
is_a_theorem(implies(X,implies(not(X),Y))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_3) ).
cnf(prove_cn_68,negated_conjecture,
~ is_a_theorem(implies(not(implies(x,not(y))),y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_68) ).
cnf(9,plain,
~ is_a_theorem(implies(implies(implies(not(X),X),X),implies(not(implies(x,not(y))),y))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,prove_cn_68,cn_2]) ).
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(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(66,plain,
is_a_theorem(implies(X,implies(implies(not(not(X)),not(X)),Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,13,12]) ).
cnf(75,plain,
is_a_theorem(implies(not(implies(X,X)),Y)),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,62,cn_3]) ).
cnf(92,plain,
is_a_theorem(implies(implies(X,Y),implies(not(implies(Z,Z)),Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,75,cn_1]) ).
cnf(302,plain,
is_a_theorem(implies(X,implies(not(implies(Y,Y)),Z))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,92,13]) ).
cnf(672,plain,
~ is_a_theorem(implies(not(implies(x,not(y))),implies(not(y),y))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,9,cn_1]) ).
cnf(728,plain,
is_a_theorem(implies(implies(X,not(Y)),implies(Y,implies(X,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,14,13]) ).
cnf(730,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(781,plain,
is_a_theorem(implies(X,implies(Y,implies(not(X),Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,728,13]) ).
cnf(836,plain,
is_a_theorem(implies(implies(implies(X,implies(not(Y),Z)),U),implies(Y,U))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,781,cn_1]) ).
cnf(2389,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(3826,plain,
is_a_theorem(implies(implies(X,implies(not(not(Y)),not(Y))),implies(Y,implies(X,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,730,66]) ).
cnf(5683,plain,
is_a_theorem(implies(X,implies(implies(X,Y),implies(Z,Y)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,2389,836]) ).
cnf(5684,plain,
is_a_theorem(implies(implies(implies(X,X),Y),implies(Z,Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,2389,302]) ).
cnf(5812,plain,
is_a_theorem(implies(implies(X,implies(Y,Z)),implies(Y,implies(X,implies(U,Z))))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,5683,730]) ).
cnf(6128,plain,
is_a_theorem(implies(X,implies(Y,Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,5684,62]) ).
cnf(15773,plain,
is_a_theorem(implies(not(X),implies(X,implies(Y,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,3826,836]) ).
cnf(16010,plain,
is_a_theorem(implies(implies(implies(X,implies(Y,Z)),U),implies(not(X),U))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,15773,cn_1]) ).
cnf(25347,plain,
is_a_theorem(implies(not(X),implies(Y,implies(X,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,16010,3826]) ).
cnf(25779,plain,
is_a_theorem(implies(implies(implies(X,Y),Z),implies(not(X),Z))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,25347,2389]) ).
cnf(28248,plain,
is_a_theorem(implies(implies(X,Y),implies(not(Y),implies(X,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,25779,14]) ).
cnf(39502,plain,
~ is_a_theorem(implies(not(y),implies(x,not(y)))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,28248,672]) ).
cnf(40166,plain,
~ is_a_theorem(implies(not(implies(not(y),implies(x,not(y)))),implies(not(y),implies(x,not(y))))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,39502,cn_2]) ).
cnf(58990,plain,
is_a_theorem(implies(X,implies(Y,implies(Z,X)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,5812,6128]) ).
cnf(59442,plain,
is_a_theorem(implies(not(implies(X,implies(Y,Z))),implies(Z,U))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,58990,28248]) ).
cnf(59443,plain,
$false,
inference('REWRITE',[status(thm)],[40166,59442]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL402-1 : TPTP v8.1.0. Released v2.3.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n013.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jul 4 08:18:29 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 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)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-04T08:18:29
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-07-04T08:18:29
% 36.89/37.07
% 36.89/37.07
% 36.89/37.07 #||
% 36.89/37.07 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 36.89/37.07 % SZS output start Refutation
% See solution above
% 36.89/37.07 ||#
% 36.89/37.07
% 36.89/37.07 ; Summary of computation:
% 36.89/37.07 ; 89736 formulas have been input or derived (from 515 formulas).
% 36.89/37.07 ; 59443 (66%) were retained. Of these,
% 36.89/37.07 ; 2288 ( 4%) were simplified or subsumed later,
% 36.89/37.07 ; 57155 (96%) are still being kept.
% 36.89/37.07 ;
% 36.89/37.07 ; Run time in seconds excluding printing time:
% 36.89/37.07 ; 0.002 0% Read assertion file (1 call)
% 36.89/37.07 ; 0.000 0% Assert (5 calls)
% 36.89/37.07 ; 9.275 25% Process new row (81,909 calls)
% 36.89/37.07 ; 17.758 49% Resolution (1,028 calls)
% 36.89/37.07 ; 0.857 2% Paramodulation (514 calls)
% 36.89/37.07 ; 0.000 0% Condensing (1 call)
% 36.89/37.07 ; 0.000 0% Forward subsumption (1 call)
% 36.89/37.07 ; 0.000 0% Backward subsumption (1 call)
% 36.89/37.07 ; 3.036 8% Forward simplification (81,752 calls)
% 36.89/37.07 ; 5.342 15% Backward simplification (59,443 calls)
% 36.89/37.07 ; 0.000 0% Sortal reasoning (32 calls)
% 36.89/37.07 ; 0.000 0% Purity testing (1 call)
% 36.89/37.07 ; 0.330 1% Other
% 36.89/37.07 ; 36.600 Total
% 36.89/37.07 ; 36.600 Real time
% 36.89/37.08 ;
% 36.89/37.08 ; Term-hash-array has 128,157 terms in all.
% 36.89/37.08 ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 36.89/37.08 ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 36.89/37.08 ; Retrieved 0 possibly forward subsuming rows in 1 call.
% 36.89/37.08 ; Retrieved 0 possibly backward subsumed rows in 1 call.
% 36.89/37.08 ; Path-index has 123,218 entries (123,219 at peak, 128,234 added, 5,016 deleted).
% 36.89/37.08 ; Path-index has 29,191 nodes (29,191 at peak, 29,214 added, 23 deleted).
% 36.89/37.08 ; Trie-index has 123,218 entries (123,219 at peak, 128,234 added, 5,016 deleted).
% 36.89/37.08 ; Trie-index has 537,637 nodes (537,644 at peak, 554,480 added, 16,843 deleted).
% 36.89/37.08 ; Retrieved 908,889 generalization terms in 81,749 calls.
% 36.89/37.08 ; Retrieved 314,684 instance terms in 59,441 calls.
% 36.89/37.08 ; Retrieved 33,631,303 unifiable terms in 27,287 calls.
% 36.89/37.08 ;
% 36.89/37.08 ; The agenda of rows to process has 694 entries:
% 36.89/37.08 ; 13 with value 26 42 with value 32 24 with value 38
% 36.89/37.08 ; 15 with value 27 60 with value 33 25 with value 39
% 36.89/37.08 ; 3 with value 28 122 with value 34 8 with value 40
% 36.89/37.08 ; 57 with value 29 63 with value 35 1 with value 41
% 36.89/37.08 ; 29 with value 30 87 with value 36 1 with value 42
% 36.89/37.08 ; 96 with value 31 48 with value 37
% 36.89/37.08 ; The agenda of rows to give has 56659 entries:
% 36.89/37.08 ; 1 with value (4 20) 4182 with value (4 42) 28 with value (4 63)
% 36.89/37.08 ; 1 with value (4 22) 1839 with value (4 43) 17 with value (4 64)
% 36.89/37.08 ; 2 with value (4 23) 469 with value (4 44) 38 with value (4 65)
% 36.89/37.08 ; 5 with value (4 24) 226 with value (4 45) 11 with value (4 66)
% 36.89/37.08 ; 100 with value (4 25) 160 with value (4 46) 11 with value (4 67)
% 36.89/37.08 ; 222 with value (4 26) 152 with value (4 47) 25 with value (4 68)
% 36.89/37.08 ; 372 with value (4 27) 149 with value (4 48) 4 with value (4 69)
% 36.89/37.08 ; 602 with value (4 28) 116 with value (4 49) 7 with value (4 70)
% 36.89/37.08 ; 809 with value (4 29) 103 with value (4 50) 16 with value (4 71)
% 36.89/37.08 ; 1024 with value (4 30) 93 with value (4 51) 10 with value (4 72)
% 36.89/37.08 ; 1231 with value (4 31) 106 with value (4 52) 2 with value (4 73)
% 36.89/37.08 ; 1740 with value (4 32) 81 with value (4 53) 9 with value (4 74)
% 36.89/37.08 ; 2568 with value (4 33) 62 with value (4 54) 16 with value (4 75)
% 36.89/37.08 ; 3011 with value (4 34) 41 with value (4 55) 5 with value (4 76)
% 36.89/37.08 ; 3917 with value (4 35) 46 with value (4 56) 10 with value (4 77)
% 36.89/37.08 ; 4618 with value (4 36) 21 with value (4 57) 5 with value (4 78)
% 36.89/37.08 ; 5120 with value (4 37) 36 with value (4 58) 3 with value (4 80)
% 36.89/37.08 ; 5450 with value (4 38) 36 with value (4 59) 5 with value (4 81)
% 36.89/37.08 ; 5693 with value (4 39) 24 with value (4 60) 1 with value (4 83)
% 36.89/37.08 ; 6326 with value (4 40) 21 with value (4 61) 1 with value (4 85)
% 36.89/37.08 ; 5637 with value (4 41) 23 with value (4 62)
% 36.89/37.08 Evaluation took:
% 36.89/37.08 36.606 seconds of real time
% 36.89/37.08 35.32797 seconds of user run time
% 36.89/37.08 1.280716 seconds of system run time
% 36.89/37.08 [Run times include 7.511 seconds GC run time.]
% 36.89/37.08 0 calls to %EVAL
% 36.89/37.08 0 page faults and
% 36.89/37.08 1,397,517,808 bytes consed.
% 36.89/37.08 :PROOF-FOUND
% 36.89/37.08 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-04T08:19:06
% 36.89/37.08 :PROOF-FOUND
% 36.89/37.08 *
%------------------------------------------------------------------------------