TSTP Solution File: LCL365-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL365-1 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n015.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 14:22:24 EDT 2022
% Result : Unsatisfiable 2.76s 2.98s
% Output : Refutation 2.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of clauses : 20 ( 19 unt; 0 nHn; 5 RR)
% Number of literals : 22 ( 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 : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 42 ( 8 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_14,negated_conjecture,
~ is_a_theorem(implies(implies(implies(x,implies(implies(y,z),z)),u),implies(implies(not(z),y),u))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_14) ).
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(12,plain,
~ is_a_theorem(implies(implies(not(z),y),implies(x,implies(implies(y,z),z)))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,prove_cn_14,cn_1]) ).
cnf(40,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(54,plain,
is_a_theorem(implies(X,X)),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,9,cn_2]) ).
cnf(65,plain,
is_a_theorem(implies(not(implies(X,X)),Y)),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,54,cn_3]) ).
cnf(70,plain,
is_a_theorem(implies(implies(X,Y),implies(not(implies(Z,Z)),Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,65,cn_1]) ).
cnf(170,plain,
is_a_theorem(implies(X,implies(not(implies(Y,Y)),Z))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,70,9]) ).
cnf(283,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(286,plain,
~ is_a_theorem(implies(implies(implies(y,X),implies(not(z),X)),implies(x,implies(implies(y,z),z)))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,10,12]) ).
cnf(913,plain,
is_a_theorem(implies(implies(X,implies(not(Y),Y)),implies(implies(Y,Z),implies(X,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,40,10]) ).
cnf(2020,plain,
is_a_theorem(implies(implies(implies(X,X),Y),implies(Z,Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,913,170]) ).
cnf(2338,plain,
is_a_theorem(implies(X,implies(implies(not(Y),Y),Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,2020,8]) ).
cnf(9245,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,286,283,2338]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : LCL365-1 : TPTP v8.1.0. Released v2.3.0.
% 0.10/0.12 % Command : run-snark %s %d
% 0.14/0.33 % Computer : n015.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 600
% 0.14/0.33 % DateTime : Sun Jul 3 19:33:15 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.46 #<PACKAGE "SNARK-USER">
% 0.20/0.46 *
% 0.20/0.46 SNARK-TPTP-OPTIONS
% 0.20/0.46 *
% 0.20/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.46 (USE-FACTORING :POS)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.46 *
% 0.20/0.46 "."
% 0.20/0.46 *
% 0.20/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-03T19:33:15
% 0.20/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-07-03T19:33:15
% 2.76/2.98
% 2.76/2.98
% 2.76/2.98 #||
% 2.76/2.98 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.76/2.98 % SZS output start Refutation
% See solution above
% 2.76/2.98 ||#
% 2.76/2.98
% 2.76/2.98 ; Summary of computation:
% 2.76/2.98 ; 16088 formulas have been input or derived (from 179 formulas).
% 2.76/2.98 ; 9245 (57%) were retained. Of these,
% 2.76/2.98 ; 139 ( 2%) were simplified or subsumed later,
% 2.76/2.98 ; 9106 (98%) are still being kept.
% 2.76/2.98 ;
% 2.76/2.98 ; Run time in seconds excluding printing time:
% 2.76/2.98 ; 0.002 0% Read assertion file (1 call)
% 2.76/2.98 ; 0.000 0% Assert (5 calls)
% 2.76/2.98 ; 1.083 43% Process new row (14,538 calls)
% 2.85/3.02 ; 0.696 28% Resolution (356 calls)
% 2.85/3.02 ; 0.060 2% Paramodulation (178 calls)
% 2.85/3.02 ; 0.000 0% Condensing (1 call)
% 2.85/3.02 ; 0.000 0% Forward subsumption (1 call)
% 2.85/3.02 ; 0.000 0% Backward subsumption (1 call)
% 2.85/3.02 ; 0.309 12% Forward simplification (14,503 calls)
% 2.85/3.02 ; 0.289 11% Backward simplification (9,245 calls)
% 2.85/3.02 ; 0.000 0% Sortal reasoning (32 calls)
% 2.85/3.02 ; 0.000 0% Purity testing (1 call)
% 2.85/3.02 ; 0.078 3% Other
% 2.85/3.02 ; 2.517 Total
% 2.85/3.02 ; 2.551 Real time
% 2.85/3.02 ;
% 2.85/3.02 ; Term-hash-array has 21,332 terms in all.
% 2.85/3.02 ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 2.85/3.02 ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 2.85/3.02 ; Retrieved 0 possibly forward subsuming rows in 1 call.
% 2.85/3.02 ; Retrieved 0 possibly backward subsumed rows in 1 call.
% 2.85/3.02 ; Path-index has 21,012 entries (21,012 at peak, 21,387 added, 375 deleted).
% 2.85/3.02 ; Path-index has 11,591 nodes (11,591 at peak, 11,591 added, 0 deleted).
% 2.85/3.02 ; Trie-index has 21,012 entries (21,012 at peak, 21,387 added, 375 deleted).
% 2.85/3.02 ; Trie-index has 99,736 nodes (99,736 at peak, 100,479 added, 743 deleted).
% 2.85/3.02 ; Retrieved 99,586 generalization terms in 14,500 calls.
% 2.85/3.02 ; Retrieved 28,527 instance terms in 9,243 calls.
% 2.85/3.02 ; Retrieved 1,439,541 unifiable terms in 7,319 calls.
% 2.85/3.02 ;
% 2.85/3.02 ; The agenda of rows to process has 106 entries:
% 2.85/3.02 ; 1 with value 12 1 with value 27 3 with value 39
% 2.85/3.02 ; 2 with value 16 3 with value 30 5 with value 40
% 2.85/3.02 ; 1 with value 17 1 with value 31 12 with value 41
% 2.85/3.02 ; 1 with value 18 2 with value 33 31 with value 42
% 2.85/3.02 ; 3 with value 20 1 with value 34 5 with value 43
% 2.85/3.02 ; 9 with value 21 1 with value 35 1 with value 45
% 2.85/3.02 ; 1 with value 22 3 with value 36 1 with value 51
% 2.85/3.02 ; 1 with value 24 7 with value 37 1 with value 70
% 2.85/3.02 ; 4 with value 25 4 with value 38 1 with value 83
% 2.85/3.02 ; The agenda of rows to give has 8930 entries:
% 2.85/3.02 ; 44 with value (4 24) 533 with value (4 41) 9 with value (4 58)
% 2.85/3.02 ; 58 with value (4 25) 281 with value (4 42) 5 with value (4 59)
% 2.85/3.02 ; 85 with value (4 26) 58 with value (4 43) 5 with value (4 60)
% 2.85/3.02 ; 161 with value (4 27) 15 with value (4 44) 5 with value (4 61)
% 2.85/3.02 ; 208 with value (4 28) 13 with value (4 45) 2 with value (4 62)
% 2.85/3.02 ; 255 with value (4 29) 16 with value (4 46) 4 with value (4 63)
% 2.85/3.02 ; 296 with value (4 30) 17 with value (4 47) 5 with value (4 64)
% 2.85/3.02 ; 335 with value (4 31) 20 with value (4 48) 9 with value (4 65)
% 2.85/3.02 ; 440 with value (4 32) 17 with value (4 49) 4 with value (4 66)
% 2.85/3.02 ; 632 with value (4 33) 9 with value (4 50) 2 with value (4 67)
% 2.85/3.02 ; 642 with value (4 34) 11 with value (4 51) 2 with value (4 68)
% 2.85/3.02 ; 670 with value (4 35) 7 with value (4 52) 1 with value (4 70)
% 2.85/3.02 ; 701 with value (4 36) 8 with value (4 53) 2 with value (4 71)
% 2.85/3.02 ; 768 with value (4 37) 11 with value (4 54) 4 with value (4 77)
% 2.85/3.02 ; 918 with value (4 38) 12 with value (4 55) 1 with value (4 80)
% 2.85/3.02 ; 817 with value (4 39) 12 with value (4 56) 1 with value (4 84)
% 2.85/3.02 ; 796 with value (4 40) 3 with value (4 57)
% 2.85/3.02 Evaluation took:
% 2.85/3.02 2.552 seconds of real time
% 2.85/3.02 2.411202 seconds of user run time
% 2.85/3.02 0.141657 seconds of system run time
% 2.85/3.02 [Run times include 0.388 seconds GC run time.]
% 2.85/3.02 0 calls to %EVAL
% 2.85/3.02 0 page faults and
% 2.85/3.02 163,697,280 bytes consed.
% 2.85/3.02 :PROOF-FOUND
% 2.85/3.02 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-03T19:33:18
% 2.85/3.02 :PROOF-FOUND
% 2.85/3.02 *
%------------------------------------------------------------------------------