TSTP Solution File: LCL385-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL385-1 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n027.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 86.33s 86.54s
% Output : Refutation 86.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of clauses : 40 ( 39 unt; 0 nHn; 6 RR)
% Number of literals : 42 ( 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 100 ( 32 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_47,negated_conjecture,
~ is_a_theorem(implies(implies(x,not(y)),implies(y,not(x)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_47) ).
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(56,plain,
is_a_theorem(implies(X,implies(implies(not(not(X)),not(X)),Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,12,11]) ).
cnf(58,plain,
is_a_theorem(implies(implies(implies(X,Y),Z),implies(implies(implies(not(X),U),Y),Z))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,12,cn_1]) ).
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,69,12]) ).
cnf(320,plain,
is_a_theorem(implies(implies(X,not(Y)),implies(Y,implies(X,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,13,12]) ).
cnf(321,plain,
~ is_a_theorem(implies(implies(implies(not(y),X),implies(x,X)),implies(y,not(x)))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,13,prove_cn_47]) ).
cnf(322,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(349,plain,
is_a_theorem(implies(X,implies(Y,implies(not(X),Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,320,12]) ).
cnf(373,plain,
is_a_theorem(implies(implies(implies(X,implies(not(Y),Z)),U),implies(Y,U))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,349,cn_1]) ).
cnf(1200,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(1389,plain,
~ is_a_theorem(implies(implies(y,implies(x,X)),implies(y,not(x)))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,58,321]) ).
cnf(1452,plain,
~ is_a_theorem(implies(implies(implies(implies(x,X),Y),implies(y,Y)),implies(y,not(x)))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,1389,13]) ).
cnf(2029,plain,
is_a_theorem(implies(implies(X,implies(not(not(Y)),not(Y))),implies(Y,implies(X,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,322,56]) ).
cnf(2925,plain,
is_a_theorem(implies(X,implies(implies(X,Y),implies(Z,Y)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,1200,373]) ).
cnf(2926,plain,
is_a_theorem(implies(implies(implies(X,X),Y),implies(Z,Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,1200,154]) ).
cnf(3000,plain,
is_a_theorem(implies(implies(implies(implies(X,Y),implies(Z,Y)),U),implies(X,U))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,2925,cn_1]) ).
cnf(3274,plain,
is_a_theorem(implies(X,implies(implies(not(Y),Y),Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,2926,11]) ).
cnf(3687,plain,
is_a_theorem(implies(implies(X,implies(not(Y),Y)),implies(Z,implies(X,Y)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,3274,322]) ).
cnf(10026,plain,
is_a_theorem(implies(not(X),implies(X,implies(Y,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,2029,373]) ).
cnf(10180,plain,
is_a_theorem(implies(implies(implies(X,implies(Y,Z)),U),implies(not(X),U))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,10026,cn_1]) ).
cnf(15576,plain,
is_a_theorem(implies(not(X),implies(Y,implies(X,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,10180,2029]) ).
cnf(15782,plain,
is_a_theorem(implies(implies(implies(X,Y),Z),implies(not(X),Z))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,15576,1200]) ).
cnf(77341,plain,
is_a_theorem(implies(X,implies(implies(implies(Y,Z),Y),Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,3687,15782]) ).
cnf(77343,plain,
is_a_theorem(implies(X,implies(Y,implies(implies(X,Z),Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,3687,3000]) ).
cnf(77747,plain,
is_a_theorem(implies(implies(implies(X,Y),X),X)),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,77341,cn_2]) ).
cnf(78116,plain,
is_a_theorem(implies(implies(X,not(X)),not(X))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,77747,39]) ).
cnf(78117,plain,
is_a_theorem(implies(implies(X,implies(X,Y)),implies(X,Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,77747,13]) ).
cnf(81460,plain,
is_a_theorem(implies(X,implies(implies(X,Y),Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,78117,77343]) ).
cnf(82435,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,81460,78116,1452]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LCL385-1 : TPTP v8.1.0. Released v2.3.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n027.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon Jul 4 00:15:40 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T00:15:40
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-07-04T00:15:40
% 86.33/86.54
% 86.33/86.54
% 86.33/86.54 #||
% 86.33/86.54 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 86.33/86.54 % SZS output start Refutation
% See solution above
% 86.33/86.54 ||#
% 86.33/86.54
% 86.33/86.54 ; Summary of computation:
% 86.33/86.54 ; 136068 formulas have been input or derived (from 542 formulas).
% 86.33/86.54 ; 82435 (61%) were retained. Of these,
% 86.33/86.54 ; 1070 ( 1%) were simplified or subsumed later,
% 86.33/86.54 ; 81365 (99%) are still being kept.
% 86.33/86.54 ;
% 86.33/86.54 ; Run time in seconds excluding printing time:
% 86.33/86.54 ; 0.001 0% Read assertion file (1 call)
% 86.33/86.54 ; 0.000 0% Assert (5 calls)
% 86.33/86.54 ; 12.856 15% Process new row (121,479 calls)
% 86.33/86.54 ; 55.045 64% Resolution (1,082 calls)
% 86.33/86.54 ; 1.458 2% Paramodulation (541 calls)
% 86.33/86.54 ; 0.000 0% Condensing (1 call)
% 86.33/86.54 ; 0.000 0% Forward subsumption (1 call)
% 86.33/86.54 ; 0.000 0% Backward subsumption (1 call)
% 86.33/86.54 ; 5.688 7% Forward simplification (121,439 calls)
% 86.33/86.54 ; 10.491 12% Backward simplification (82,435 calls)
% 86.33/86.54 ; 0.001 0% Sortal reasoning (32 calls)
% 86.33/86.54 ; 0.000 0% Purity testing (1 call)
% 86.33/86.54 ; 0.516 1% Other
% 86.33/86.54 ; 86.056 Total
% 86.33/86.54 ; 86.074 Real time
% 86.33/86.55 ;
% 86.33/86.55 ; Term-hash-array has 180,764 terms in all.
% 86.33/86.55 ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 86.33/86.55 ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 86.33/86.55 ; Retrieved 0 possibly forward subsuming rows in 1 call.
% 86.33/86.55 ; Retrieved 0 possibly backward subsumed rows in 1 call.
% 86.33/86.55 ; Path-index has 178,361 entries (178,361 at peak, 180,870 added, 2,509 deleted).
% 86.33/86.55 ; Path-index has 35,166 nodes (35,166 at peak, 35,186 added, 20 deleted).
% 86.33/86.55 ; Trie-index has 178,361 entries (178,361 at peak, 180,870 added, 2,509 deleted).
% 86.33/86.55 ; Trie-index has 713,297 nodes (713,297 at peak, 721,542 added, 8,245 deleted).
% 86.33/86.55 ; Retrieved 1,794,543 generalization terms in 121,436 calls.
% 86.33/86.55 ; Retrieved 1,008,124 instance terms in 82,433 calls.
% 86.33/86.55 ; Retrieved 115,502,478 unifiable terms in 43,198 calls.
% 86.33/86.55 ;
% 86.33/86.55 ; The agenda of rows to process has 1010 entries:
% 86.33/86.55 ; 1 with value 16 16 with value 28 94 with value 38
% 86.33/86.55 ; 7 with value 18 38 with value 29 52 with value 39
% 86.33/86.55 ; 1 with value 19 16 with value 30 94 with value 40
% 86.33/86.55 ; 8 with value 21 36 with value 31 53 with value 41
% 86.33/86.55 ; 8 with value 22 38 with value 32 27 with value 42
% 86.33/86.55 ; 19 with value 23 84 with value 33 17 with value 43
% 86.33/86.55 ; 16 with value 24 84 with value 34 12 with value 44
% 86.33/86.55 ; 16 with value 25 96 with value 35 3 with value 45
% 86.33/86.55 ; 8 with value 26 84 with value 36 1 with value 47
% 86.33/86.55 ; 25 with value 27 56 with value 37
% 86.33/86.55 ; The agenda of rows to give has 80832 entries:
% 86.33/86.55 ; 1 with value (4 24) 732 with value (4 45) 18 with value (4 65)
% 86.33/86.55 ; 4 with value (4 25) 233 with value (4 46) 28 with value (4 66)
% 86.33/86.55 ; 147 with value (4 26) 162 with value (4 47) 8 with value (4 67)
% 86.33/86.55 ; 354 with value (4 27) 212 with value (4 48) 17 with value (4 68)
% 86.33/86.55 ; 570 with value (4 28) 164 with value (4 49) 6 with value (4 69)
% 86.33/86.55 ; 885 with value (4 29) 139 with value (4 50) 11 with value (4 70)
% 86.33/86.55 ; 1083 with value (4 30) 145 with value (4 51) 8 with value (4 71)
% 86.33/86.55 ; 1401 with value (4 31) 118 with value (4 52) 7 with value (4 72)
% 86.33/86.55 ; 1994 with value (4 32) 130 with value (4 53) 11 with value (4 73)
% 86.33/86.55 ; 2941 with value (4 33) 82 with value (4 54) 8 with value (4 74)
% 86.33/86.55 ; 4058 with value (4 34) 65 with value (4 55) 13 with value (4 75)
% 86.33/86.55 ; 5092 with value (4 35) 46 with value (4 56) 3 with value (4 76)
% 86.33/86.55 ; 6182 with value (4 36) 39 with value (4 57) 6 with value (4 77)
% 86.33/86.55 ; 7313 with value (4 37) 21 with value (4 58) 7 with value (4 78)
% 86.33/86.55 ; 7645 with value (4 38) 38 with value (4 59) 8 with value (4 79)
% 86.33/86.55 ; 8285 with value (4 39) 31 with value (4 60) 1 with value (4 80)
% 86.33/86.55 ; 8353 with value (4 40) 17 with value (4 61) 1 with value (4 81)
% 86.33/86.55 ; 8065 with value (4 41) 28 with value (4 62) 6 with value (4 82)
% 86.33/86.55 ; 6736 with value (4 42) 30 with value (4 63) 2 with value (4 83)
% 86.33/86.55 ; 4854 with value (4 43) 13 with value (4 64) 3 with value (4 85)
% 86.33/86.55 ; 2252 with value (4 44)
% 86.33/86.55 Evaluation took:
% 86.33/86.55 86.08 seconds of real time
% 86.33/86.55 83.81918 seconds of user run time
% 86.33/86.55 2.24604 seconds of system run time
% 86.33/86.55 [Run times include 18.689 seconds GC run time.]
% 86.33/86.55 0 calls to %EVAL
% 86.33/86.55 0 page faults and
% 86.33/86.55 2,703,821,728 bytes consed.
% 86.33/86.55 :PROOF-FOUND
% 86.33/86.55 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T00:17:06
% 86.33/86.55 :PROOF-FOUND
% 86.33/86.55 *
%------------------------------------------------------------------------------