TSTP Solution File: LCL089-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL089-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n017.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 14:20:07 EDT 2022
% Result : Unsatisfiable 4.33s 4.52s
% Output : Refutation 4.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 3
% Syntax : Number of clauses : 31 ( 30 unt; 0 nHn; 4 RR)
% Number of literals : 33 ( 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 : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 108 ( 48 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_4,axiom,
is_a_theorem(implies(implies(implies(X,Y),implies(Z,U)),implies(V,implies(implies(U,X),implies(Z,X))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_4) ).
cnf(prove_ic_4,negated_conjecture,
~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ic_4) ).
cnf(5,plain,
is_a_theorem(implies(X,implies(implies(implies(implies(Y,Z),implies(U,Z)),implies(Z,V)),implies(W,implies(Z,V))))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,ic_JLukasiewicz_4,ic_JLukasiewicz_4]) ).
cnf(6,plain,
~ is_a_theorem(implies(implies(implies(implies(X,Y),implies(Z,U)),implies(V,implies(implies(U,X),implies(Z,X)))),implies(implies(a,b),implies(implies(b,c),implies(a,c))))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,ic_JLukasiewicz_4,prove_ic_4]) ).
cnf(8,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,5,ic_JLukasiewicz_4]) ).
cnf(13,plain,
is_a_theorem(implies(X,implies(Y,implies(implies(Y,Z),implies(U,Z))))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,8,ic_JLukasiewicz_4]) ).
cnf(14,plain,
is_a_theorem(implies(X,implies(implies(Y,Z),implies(Z,implies(Y,Z))))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,8,8]) ).
cnf(22,plain,
is_a_theorem(implies(X,implies(implies(X,Y),implies(Z,Y)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,13,8]) ).
cnf(23,plain,
is_a_theorem(implies(X,implies(implies(implies(implies(Y,Z),implies(U,Z)),V),implies(Y,V)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,13,ic_JLukasiewicz_4]) ).
cnf(28,plain,
is_a_theorem(implies(implies(implies(X,implies(implies(X,Y),implies(Z,Y))),U),implies(V,U))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,22,22]) ).
cnf(29,plain,
is_a_theorem(implies(X,implies(implies(implies(Y,Z),U),implies(implies(implies(U,V),Z),U)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,22,ic_JLukasiewicz_4]) ).
cnf(42,plain,
is_a_theorem(implies(implies(X,Y),implies(Y,implies(X,Y)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,14,8]) ).
cnf(49,plain,
is_a_theorem(implies(X,implies(implies(implies(Y,Z),Y),implies(Z,Y)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,42,ic_JLukasiewicz_4]) ).
cnf(59,plain,
is_a_theorem(implies(implies(implies(X,Y),X),implies(Y,X))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,49,8]) ).
cnf(68,plain,
is_a_theorem(implies(X,implies(Y,implies(Z,Y)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,59,8]) ).
cnf(90,plain,
is_a_theorem(implies(X,implies(Y,X))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,68,59]) ).
cnf(92,plain,
is_a_theorem(implies(X,implies(implies(implies(Y,Z),U),implies(Z,U)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,68,ic_JLukasiewicz_4]) ).
cnf(101,plain,
is_a_theorem(implies(X,implies(implies(implies(Y,Z),Y),implies(U,Y)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,90,ic_JLukasiewicz_4]) ).
cnf(264,plain,
is_a_theorem(implies(implies(implies(X,Y),Z),implies(Y,Z))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,92,59]) ).
cnf(298,plain,
is_a_theorem(implies(implies(X,Y),implies(Z,implies(implies(Y,U),implies(X,U))))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,264,ic_JLukasiewicz_4]) ).
cnf(421,plain,
is_a_theorem(implies(implies(implies(implies(X,Y),implies(Z,Y)),U),implies(X,U))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,23,8]) ).
cnf(446,plain,
is_a_theorem(implies(implies(X,Y),implies(X,implies(Z,implies(U,Y))))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,421,421]) ).
cnf(496,plain,
is_a_theorem(implies(implies(implies(implies(X,Y),implies(Z,Y)),U),implies(V,implies(W,implies(X,U))))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,446,421]) ).
cnf(649,plain,
is_a_theorem(implies(implies(implies(X,Y),X),implies(Z,X))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,101,90]) ).
cnf(1493,plain,
is_a_theorem(implies(implies(implies(X,Y),Z),implies(implies(implies(Z,U),Y),Z))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,29,28]) ).
cnf(1549,plain,
is_a_theorem(implies(X,implies(implies(implies(Y,Z),Y),Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,1493,649]) ).
cnf(1858,plain,
is_a_theorem(implies(implies(implies(X,Y),X),X)),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,1549,28]) ).
cnf(8319,plain,
is_a_theorem(implies(implies(X,implies(X,Y)),implies(Z,implies(X,Y)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,496,1858]) ).
cnf(8823,plain,
is_a_theorem(implies(X,implies(implies(Y,Z),implies(implies(Z,U),implies(Y,U))))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,8319,298]) ).
cnf(8824,plain,
$false,
inference('REWRITE',[status(thm)],[6,8823]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL089-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n017.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 18:46:42 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 2022-07-04T18:46:42
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-07-04T18:46:42
% 4.33/4.52
% 4.33/4.52
% 4.33/4.52 #||
% 4.33/4.52 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.33/4.52 % SZS output start Refutation
% See solution above
% 4.39/4.55 ||#
% 4.39/4.55
% 4.39/4.55 ; Summary of computation:
% 4.39/4.55 ; 16094 formulas have been input or derived (from 217 formulas).
% 4.39/4.55 ; 8824 (55%) were retained. Of these,
% 4.39/4.56 ; 316 ( 4%) were simplified or subsumed later,
% 4.39/4.56 ; 8508 (96%) are still being kept.
% 4.39/4.56 ;
% 4.39/4.56 ; Run time in seconds excluding printing time:
% 4.39/4.56 ; 0.001 0% Read assertion file (1 call)
% 4.39/4.56 ; 0.000 0% Assert (3 calls)
% 4.39/4.56 ; 1.026 25% Process new row (14,128 calls)
% 4.39/4.56 ; 1.509 37% Resolution (432 calls)
% 4.39/4.56 ; 0.114 3% Paramodulation (216 calls)
% 4.39/4.56 ; 0.001 0% Condensing (1 call)
% 4.39/4.56 ; 0.000 0% Forward subsumption (1 call)
% 4.39/4.56 ; 0.000 0% Backward subsumption (1 call)
% 4.39/4.56 ; 0.723 18% Forward simplification (14,024 calls)
% 4.39/4.56 ; 0.593 15% Backward simplification (8,824 calls)
% 4.39/4.56 ; 0.000 0% Sortal reasoning (32 calls)
% 4.39/4.56 ; 0.000 0% Purity testing (1 call)
% 4.39/4.56 ; 0.082 2% Other
% 4.39/4.56 ; 4.049 Total
% 4.39/4.56 ; 4.086 Real time
% 4.39/4.56 ;
% 4.39/4.56 ; Term-hash-array has 20,475 terms in all.
% 4.39/4.56 ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 4.39/4.56 ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 4.39/4.56 ; Retrieved 0 possibly forward subsuming rows in 1 call.
% 4.39/4.56 ; Retrieved 0 possibly backward subsumed rows in 1 call.
% 4.39/4.56 ; Path-index has 19,741 entries (19,847 at peak, 20,498 added, 757 deleted).
% 4.39/4.56 ; Path-index has 2,027 nodes (2,028 at peak, 2,065 added, 38 deleted).
% 4.39/4.56 ; Trie-index has 19,741 entries (19,847 at peak, 20,498 added, 757 deleted).
% 4.39/4.56 ; Trie-index has 43,355 nodes (43,863 at peak, 45,846 added, 2,491 deleted).
% 4.39/4.56 ; Retrieved 380,644 generalization terms in 14,022 calls.
% 4.39/4.56 ; Retrieved 98,711 instance terms in 8,822 calls.
% 4.39/4.56 ; Retrieved 3,844,907 unifiable terms in 7,009 calls.
% 4.39/4.56 ;
% 4.39/4.56 ; The agenda of rows to process has 217 entries:
% 4.39/4.56 ; 12 with value 33 4 with value 40 12 with value 46
% 4.39/4.56 ; 14 with value 34 25 with value 41 7 with value 47
% 4.39/4.56 ; 6 with value 35 27 with value 42 3 with value 48
% 4.39/4.56 ; 12 with value 36 16 with value 43 2 with value 49
% 4.39/4.56 ; 13 with value 37 24 with value 44 2 with value 50
% 4.39/4.56 ; 10 with value 38 10 with value 45 1 with value 53
% 4.39/4.56 ; 17 with value 39
% 4.39/4.56 ; The agenda of rows to give has 8308 entries:
% 4.39/4.56 ; 2 with value (4 23) 440 with value (4 38) 297 with value (4 48)
% 4.39/4.56 ; 5 with value (4 28) 515 with value (4 39) 204 with value (4 49)
% 4.39/4.56 ; 4 with value (4 29) 581 with value (4 40) 104 with value (4 50)
% 4.39/4.56 ; 68 with value (4 30) 726 with value (4 41) 74 with value (4 51)
% 4.39/4.56 ; 67 with value (4 31) 724 with value (4 42) 46 with value (4 52)
% 4.39/4.56 ; 119 with value (4 32) 794 with value (4 43) 9 with value (4 53)
% 4.39/4.56 ; 162 with value (4 33) 655 with value (4 44) 3 with value (4 54)
% 4.39/4.56 ; 189 with value (4 34) 635 with value (4 45) 2 with value (4 55)
% 4.39/4.56 ; 220 with value (4 35) 560 with value (4 46) 2 with value (4 58)
% 4.39/4.56 ; 340 with value (4 36) 375 with value (4 47) 1 with value (4 63)
% 4.39/4.56 ; 385 with value (4 37)
% 4.39/4.56 Evaluation took:
% 4.39/4.56 4.087 seconds of real time
% 4.39/4.56 3.933811 seconds of user run time
% 4.39/4.56 0.152734 seconds of system run time
% 4.39/4.56 [Run times include 0.451 seconds GC run time.]
% 4.39/4.56 0 calls to %EVAL
% 4.39/4.56 0 page faults and
% 4.39/4.56 241,452,536 bytes consed.
% 4.39/4.56 :PROOF-FOUND
% 4.39/4.56 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T18:46:47
% 4.39/4.56 :PROOF-FOUND
% 4.39/4.56 *
%------------------------------------------------------------------------------