TSTP Solution File: LCL083-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL083-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n012.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 14:20:04 EDT 2022
% Result : Unsatisfiable 129.99s 130.18s
% Output : Refutation 130.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of clauses : 30 ( 29 unt; 0 nHn; 4 RR)
% Number of literals : 32 ( 0 equ; 4 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; 2 con; 0-2 aty)
% Number of variables : 100 ( 49 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(ic_JLukasiewicz,axiom,
is_a_theorem(implies(implies(implies(X,Y),Z),implies(implies(Z,X),implies(U,X)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz) ).
cnf(prove_ic_3,negated_conjecture,
~ is_a_theorem(implies(implies(implies(a,b),a),a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ic_3) ).
cnf(4,plain,
is_a_theorem(implies(implies(implies(implies(X,Y),implies(Z,Y)),implies(Y,U)),implies(V,implies(Y,U)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,ic_JLukasiewicz,ic_JLukasiewicz]) ).
cnf(5,plain,
~ is_a_theorem(implies(implies(implies(implies(X,Y),Z),implies(implies(Z,X),implies(U,X))),implies(implies(implies(a,b),a),a))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,ic_JLukasiewicz,prove_ic_3]) ).
cnf(6,plain,
is_a_theorem(implies(X,implies(implies(Y,Z),implies(Z,implies(Y,Z))))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,4,4]) ).
cnf(7,plain,
is_a_theorem(implies(implies(implies(X,implies(Y,Z)),implies(implies(U,Y),implies(V,Y))),implies(W,implies(implies(U,Y),implies(V,Y))))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,4,ic_JLukasiewicz]) ).
cnf(9,plain,
is_a_theorem(implies(implies(X,Y),implies(Y,implies(X,Y)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,6,ic_JLukasiewicz]) ).
cnf(12,plain,
is_a_theorem(implies(implies(implies(X,implies(Y,X)),Y),implies(Z,Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,9,ic_JLukasiewicz]) ).
cnf(19,plain,
is_a_theorem(implies(implies(implies(X,Y),implies(Z,implies(Y,Z))),implies(U,implies(Z,implies(Y,Z))))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,12,ic_JLukasiewicz]) ).
cnf(104,plain,
is_a_theorem(implies(X,implies(Y,implies(Y,Y)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,19,9]) ).
cnf(115,plain,
is_a_theorem(implies(implies(implies(X,implies(X,X)),Y),implies(Z,Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,104,ic_JLukasiewicz]) ).
cnf(982,plain,
is_a_theorem(implies(X,implies(implies(Y,Z),implies(Z,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,7,4]) ).
cnf(983,plain,
is_a_theorem(implies(X,implies(implies(implies(Y,Z),Y),implies(U,Y)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,7,ic_JLukasiewicz]) ).
cnf(984,plain,
is_a_theorem(implies(implies(implies(X,implies(implies(Y,Z),implies(U,Z))),implies(V,implies(Z,W))),implies(X1,implies(V,implies(Z,W))))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,7,ic_JLukasiewicz]) ).
cnf(1002,plain,
is_a_theorem(implies(implies(X,Y),implies(Y,Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,982,ic_JLukasiewicz]) ).
cnf(1021,plain,
is_a_theorem(implies(implies(X,Y),implies(X,Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,1002,115]) ).
cnf(1022,plain,
is_a_theorem(implies(implies(implies(X,X),Y),implies(Z,Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,1002,ic_JLukasiewicz]) ).
cnf(1039,plain,
is_a_theorem(implies(implies(implies(X,Y),X),implies(Z,X))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,1021,ic_JLukasiewicz]) ).
cnf(1057,plain,
is_a_theorem(implies(X,implies(Y,Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,1022,1002]) ).
cnf(1082,plain,
is_a_theorem(implies(X,X)),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,1057,1022]) ).
cnf(1186,plain,
is_a_theorem(implies(implies(implies(implies(implies(X,Y),X),implies(Z,X)),U),implies(V,U))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,983,ic_JLukasiewicz]) ).
cnf(7862,plain,
is_a_theorem(implies(X,implies(implies(implies(implies(Y,Z),implies(U,Z)),V),implies(Z,V)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,984,ic_JLukasiewicz]) ).
cnf(8001,plain,
is_a_theorem(implies(implies(implies(implies(X,Y),implies(Z,Y)),U),implies(Y,U))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,7862,1186]) ).
cnf(8132,plain,
is_a_theorem(implies(X,implies(Y,implies(Z,X)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,8001,1022]) ).
cnf(8297,plain,
is_a_theorem(implies(implies(implies(X,implies(Y,implies(Z,U))),Z),implies(V,Z))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,8132,ic_JLukasiewicz]) ).
cnf(9119,plain,
is_a_theorem(implies(implies(implies(X,Y),implies(Z,implies(U,implies(Y,V)))),implies(W,implies(Z,implies(U,implies(Y,V)))))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,8297,ic_JLukasiewicz]) ).
cnf(64393,plain,
is_a_theorem(implies(X,implies(implies(Y,implies(Y,Z)),implies(U,implies(Y,Z))))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,9119,ic_JLukasiewicz]) ).
cnf(64916,plain,
is_a_theorem(implies(implies(X,implies(X,Y)),implies(Z,implies(X,Y)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,64393,1082]) ).
cnf(65432,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,64916,1039,5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL083-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n012.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 : Sun Jul 3 19:05:46 EDT 2022
% 0.13/0.34 % 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 2022-07-03T19:05:46
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n012.cluster.edu at 2022-07-03T19:05:46
% 129.99/130.18
% 129.99/130.18
% 129.99/130.18 #||
% 129.99/130.18 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 129.99/130.18 % SZS output start Refutation
% See solution above
% 130.05/130.20 ||#
% 130.05/130.20
% 130.05/130.20 ; Summary of computation:
% 130.05/130.20 ; 114842 formulas have been input or derived (from 709 formulas).
% 130.05/130.20 ; 65432 (57%) were retained. Of these,
% 130.05/130.20 ; 3511 ( 5%) were simplified or subsumed later,
% 130.05/130.20 ; 61921 (95%) are still being kept.
% 130.05/130.20 ;
% 130.05/130.20 ; Run time in seconds excluding printing time:
% 130.05/130.20 ; 0.001 0% Read assertion file (1 call)
% 130.05/130.20 ; 0.000 0% Assert (3 calls)
% 130.05/130.20 ; 10.506 8% Process new row (99,989 calls)
% 130.05/130.20 ; 75.724 58% Resolution (1,416 calls)
% 130.05/130.20 ; 3.227 2% Paramodulation (708 calls)
% 130.05/130.20 ; 0.000 0% Condensing (1 call)
% 130.05/130.20 ; 0.000 0% Forward subsumption (1 call)
% 130.05/130.20 ; 0.000 0% Backward subsumption (1 call)
% 130.05/130.20 ; 22.262 17% Forward simplification (99,865 calls)
% 130.05/130.20 ; 17.543 14% Backward simplification (65,432 calls)
% 130.05/130.20 ; 0.002 0% Sortal reasoning (32 calls)
% 130.05/130.20 ; 0.000 0% Purity testing (1 call)
% 130.05/130.20 ; 0.447 0% Other
% 130.05/130.20 ; 129.712 Total
% 130.05/130.20 ; 129.736 Real time
% 130.05/130.21 ;
% 130.05/130.21 ; Term-hash-array has 141,126 terms in all.
% 130.05/130.21 ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 130.05/130.21 ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 130.05/130.21 ; Retrieved 0 possibly forward subsuming rows in 1 call.
% 130.05/130.21 ; Retrieved 0 possibly backward subsumed rows in 1 call.
% 130.05/130.21 ; Path-index has 133,186 entries (133,186 at peak, 141,344 added, 8,158 deleted).
% 130.05/130.21 ; Path-index has 5,453 nodes (5,453 at peak, 5,926 added, 473 deleted).
% 130.05/130.21 ; Trie-index has 133,186 entries (133,186 at peak, 141,344 added, 8,158 deleted).
% 130.05/130.21 ; Trie-index has 182,003 nodes (182,003 at peak, 207,722 added, 25,719 deleted).
% 130.05/130.21 ; Retrieved 13,965,193 generalization terms in 99,892 calls.
% 130.05/130.21 ; Retrieved 1,724,775 instance terms in 65,430 calls.
% 130.05/130.21 ; Retrieved 179,109,776 unifiable terms in 39,880 calls.
% 130.05/130.21 ;
% 130.05/130.21 ; The agenda of rows to process has 1222 entries:
% 130.05/130.21 ; 1 with value 17 30 with value 33 38 with value 45
% 130.05/130.21 ; 6 with value 20 78 with value 34 38 with value 46
% 130.05/130.21 ; 12 with value 23 63 with value 35 49 with value 47
% 130.05/130.21 ; 1 with value 24 35 with value 36 79 with value 48
% 130.05/130.21 ; 50 with value 25 68 with value 37 90 with value 49
% 130.05/130.21 ; 27 with value 26 29 with value 38 108 with value 50
% 130.05/130.21 ; 10 with value 27 26 with value 39 14 with value 51
% 130.05/130.21 ; 33 with value 28 23 with value 40 23 with value 52
% 130.05/130.21 ; 32 with value 29 16 with value 41 1 with value 53
% 130.05/130.21 ; 75 with value 30 9 with value 42 2 with value 54
% 130.05/130.21 ; 56 with value 31 20 with value 43 1 with value 55
% 130.05/130.21 ; 52 with value 32 26 with value 44 1 with value 56
% 130.05/130.21 ; The agenda of rows to give has 61296 entries:
% 130.05/130.21 ; 2 with value (4 32) 1540 with value (4 45) 3169 with value (4 58)
% 130.05/130.21 ; 1 with value (4 33) 2062 with value (4 46) 1563 with value (4 59)
% 130.05/130.21 ; 1 with value (4 34) 2231 with value (4 47) 1016 with value (4 60)
% 130.05/130.21 ; 1 with value (4 35) 2915 with value (4 48) 487 with value (4 61)
% 130.05/130.21 ; 41 with value (4 36) 3568 with value (4 49) 283 with value (4 62)
% 130.05/130.21 ; 246 with value (4 37) 3809 with value (4 50) 55 with value (4 63)
% 130.05/130.21 ; 271 with value (4 38) 4706 with value (4 51) 18 with value (4 64)
% 130.05/130.21 ; 436 with value (4 39) 4621 with value (4 52) 6 with value (4 65)
% 130.05/130.21 ; 470 with value (4 40) 5052 with value (4 53) 2 with value (4 66)
% 130.05/130.21 ; 763 with value (4 41) 4871 with value (4 54) 5 with value (4 67)
% 130.05/130.21 ; 822 with value (4 42) 5244 with value (4 55) 1 with value (4 68)
% 130.05/130.21 ; 1103 with value (4 43) 4780 with value (4 56) 1 with value (4 71)
% 130.05/130.21 ; 1328 with value (4 44) 3806 with value (4 57)
% 130.05/130.21 Evaluation took:
% 130.05/130.21 129.741 seconds of real time
% 130.05/130.21 127.95071 seconds of user run time
% 130.05/130.21 1.791942 seconds of system run time
% 130.05/130.21 [Run times include 18.559 seconds GC run time.]
% 130.05/130.21 0 calls to %EVAL
% 130.05/130.21 0 page faults and
% 130.05/130.21 5,422,680,584 bytes consed.
% 130.05/130.21 :PROOF-FOUND
% 130.05/130.21 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-03T19:07:56
% 130.05/130.21 :PROOF-FOUND
% 130.05/130.21 *
%------------------------------------------------------------------------------