TSTP Solution File: LCL088-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL088-1 : TPTP v8.1.0. Released v1.0.0.
% 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 14:20:07 EDT 2022
% Result : Unsatisfiable 0.55s 0.73s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 3
% Syntax : Number of clauses : 21 ( 20 unt; 0 nHn; 4 RR)
% Number of literals : 23 ( 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 : 69 ( 33 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_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(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(5,plain,
~ is_a_theorem(implies(implies(implies(implies(X,Y),implies(Z,U)),implies(V,implies(implies(U,X),implies(Z,X)))),implies(implies(implies(a,b),a),a))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,ic_JLukasiewicz_4,prove_ic_3]) ).
cnf(6,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,4,ic_JLukasiewicz_4]) ).
cnf(9,plain,
is_a_theorem(implies(X,implies(Y,implies(implies(Y,Z),implies(U,Z))))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,6,ic_JLukasiewicz_4]) ).
cnf(10,plain,
is_a_theorem(implies(X,implies(implies(Y,Z),implies(Z,implies(Y,Z))))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,6,6]) ).
cnf(13,plain,
is_a_theorem(implies(X,implies(implies(X,Y),implies(Z,Y)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,9,6]) ).
cnf(16,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,13,13]) ).
cnf(17,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,13,ic_JLukasiewicz_4]) ).
cnf(23,plain,
is_a_theorem(implies(implies(X,Y),implies(Y,implies(X,Y)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,10,6]) ).
cnf(27,plain,
is_a_theorem(implies(X,implies(implies(implies(Y,Z),Y),implies(Z,Y)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,23,ic_JLukasiewicz_4]) ).
cnf(34,plain,
is_a_theorem(implies(implies(implies(X,Y),X),implies(Y,X))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,27,6]) ).
cnf(40,plain,
is_a_theorem(implies(X,implies(Y,implies(Z,Y)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,34,6]) ).
cnf(54,plain,
is_a_theorem(implies(X,implies(Y,X))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,40,34]) ).
cnf(60,plain,
is_a_theorem(implies(X,implies(implies(implies(Y,Z),Y),implies(U,Y)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,54,ic_JLukasiewicz_4]) ).
cnf(181,plain,
is_a_theorem(implies(implies(implies(X,Y),X),implies(Z,X))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,60,54]) ).
cnf(465,plain,
is_a_theorem(implies(implies(implies(X,Y),Z),implies(implies(implies(Z,U),Y),Z))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,17,16]) ).
cnf(484,plain,
is_a_theorem(implies(X,implies(implies(implies(Y,Z),Y),Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,465,181]) ).
cnf(485,plain,
$false,
inference('REWRITE',[status(thm)],[5,484]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL088-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n013.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 11:59:29 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.48 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.49 *
% 0.20/0.49 *
% 0.20/0.50 #<PACKAGE "SNARK-USER">
% 0.20/0.50 *
% 0.20/0.50 SNARK-TPTP-OPTIONS
% 0.20/0.50 *
% 0.20/0.50 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.50 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.50 (USE-FACTORING :POS)
% 0.20/0.50 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.50 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.50 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.50 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.50 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.50 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.50 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.50 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.50 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.50 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.50 *
% 0.20/0.50 "."
% 0.20/0.50 *
% 0.20/0.50 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T11:59:29
% 0.20/0.50 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-07-04T11:59:29
% 0.55/0.73
% 0.55/0.73
% 0.55/0.73 #||
% 0.55/0.73 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.55/0.73 % SZS output start Refutation
% See solution above
% 0.55/0.75 ||#
% 0.55/0.75
% 0.55/0.75 ; Summary of computation:
% 0.55/0.75 ; 1940 formulas have been input or derived (from 44 formulas).
% 0.55/0.75 ; 485 (25%) were retained. Of these,
% 0.55/0.75 ; 63 (13%) were simplified or subsumed later,
% 0.55/0.75 ; 422 (87%) are still being kept.
% 0.55/0.75 ;
% 0.55/0.75 ; Run time in seconds excluding printing time:
% 0.55/0.75 ; 0.001 0% Read assertion file (1 call)
% 0.55/0.75 ; 0.000 0% Assert (3 calls)
% 0.55/0.75 ; 0.070 30% Process new row (1,400 calls)
% 0.55/0.75 ; 0.055 24% Resolution (86 calls)
% 0.55/0.75 ; 0.005 2% Paramodulation (43 calls)
% 0.55/0.75 ; 0.000 0% Condensing (1 call)
% 0.55/0.75 ; 0.000 0% Forward subsumption (1 call)
% 0.55/0.75 ; 0.000 0% Backward subsumption (1 call)
% 0.55/0.75 ; 0.035 15% Forward simplification (1,389 calls)
% 0.55/0.75 ; 0.033 14% Backward simplification (485 calls)
% 0.55/0.75 ; 0.000 0% Sortal reasoning (32 calls)
% 0.55/0.75 ; 0.000 0% Purity testing (1 call)
% 0.55/0.75 ; 0.031 13% Other
% 0.55/0.75 ; 0.230 Total
% 0.55/0.75 ; 0.250 Real time
% 0.55/0.75 ;
% 0.55/0.75 ; Term-hash-array has 1,543 terms in all.
% 0.55/0.75 ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 0.55/0.75 ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 0.55/0.75 ; Retrieved 0 possibly forward subsuming rows in 1 call.
% 0.55/0.75 ; Retrieved 0 possibly backward subsumed rows in 1 call.
% 0.55/0.75 ; Path-index has 1,388 entries (1,439 at peak, 1,553 added, 165 deleted).
% 0.55/0.75 ; Path-index has 913 nodes (921 at peak, 930 added, 17 deleted).
% 0.55/0.75 ; Trie-index has 1,388 entries (1,439 at peak, 1,553 added, 165 deleted).
% 0.55/0.75 ; Trie-index has 3,247 nodes (3,384 at peak, 3,779 added, 532 deleted).
% 0.55/0.75 ; Retrieved 8,803 generalization terms in 1,387 calls.
% 0.55/0.75 ; Retrieved 4,072 instance terms in 483 calls.
% 0.55/0.75 ; Retrieved 46,219 unifiable terms in 1,335 calls.
% 0.55/0.75 ;
% 0.55/0.75 ; The agenda of rows to process has 87 entries:
% 0.55/0.75 ; 9 with value 26 8 with value 34 8 with value 41
% 0.55/0.75 ; 6 with value 27 5 with value 35 2 with value 42
% 0.55/0.75 ; 1 with value 28 1 with value 36 1 with value 44
% 0.55/0.75 ; 1 with value 29 1 with value 37 1 with value 46
% 0.55/0.75 ; 7 with value 30 7 with value 38 4 with value 47
% 0.55/0.75 ; 8 with value 31 2 with value 39 1 with value 55
% 0.55/0.75 ; 5 with value 32 9 with value 40
% 0.55/0.75 ; The agenda of rows to give has 384 entries:
% 0.55/0.75 ; 1 with value (4 16) 27 with value (4 33) 10 with value (4 42)
% 0.55/0.75 ; 1 with value (4 24) 29 with value (4 34) 17 with value (4 43)
% 0.55/0.75 ; 1 with value (4 26) 30 with value (4 35) 20 with value (4 44)
% 0.55/0.75 ; 7 with value (4 27) 33 with value (4 36) 12 with value (4 45)
% 0.55/0.75 ; 11 with value (4 28) 24 with value (4 37) 5 with value (4 46)
% 0.55/0.75 ; 10 with value (4 29) 34 with value (4 38) 3 with value (4 47)
% 0.55/0.75 ; 25 with value (4 30) 29 with value (4 39) 5 with value (4 48)
% 0.55/0.75 ; 13 with value (4 31) 12 with value (4 40) 1 with value (4 49)
% 0.55/0.75 ; 15 with value (4 32) 9 with value (4 41)
% 0.55/0.75 Evaluation took:
% 0.55/0.75 0.25 seconds of real time
% 0.55/0.75 0.238334 seconds of user run time
% 0.55/0.75 0.012043 seconds of system run time
% 0.55/0.75 [Run times include 0.015 seconds GC run time.]
% 0.55/0.75 0 calls to %EVAL
% 0.55/0.75 0 page faults and
% 0.55/0.75 13,096,048 bytes consed.
% 0.55/0.75 :PROOF-FOUND
% 0.55/0.75 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T11:59:30
% 0.55/0.75 :PROOF-FOUND
% 0.55/0.75 *
%------------------------------------------------------------------------------