TSTP Solution File: LCL087-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL087-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n004.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 14:20:06 EDT 2022
% Result : Unsatisfiable 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of clauses : 12 ( 11 unt; 0 nHn; 4 RR)
% Number of literals : 14 ( 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 : 36 ( 15 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(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/sandbox2/benchmark/theBenchmark.p',ic_JLukasiewicz_4) ).
cnf(prove_ic_2,negated_conjecture,
~ is_a_theorem(implies(a,implies(b,a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ic_2) ).
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(a,implies(b,a)))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,ic_JLukasiewicz_4,prove_ic_2]) ).
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(11,plain,
is_a_theorem(implies(X,implies(implies(Y,Z),implies(Z,implies(Y,Z))))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,6,6]) ).
cnf(29,plain,
is_a_theorem(implies(implies(X,Y),implies(Y,implies(X,Y)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,11,6]) ).
cnf(35,plain,
is_a_theorem(implies(X,implies(implies(implies(Y,Z),Y),implies(Z,Y)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,29,ic_JLukasiewicz_4]) ).
cnf(50,plain,
is_a_theorem(implies(implies(implies(X,Y),X),implies(Y,X))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,35,6]) ).
cnf(59,plain,
is_a_theorem(implies(X,implies(Y,implies(Z,Y)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,50,6]) ).
cnf(60,plain,
$false,
inference('REWRITE',[status(thm)],[5,59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : LCL087-1 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n004.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 14:48:53 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-03T14:48:53
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-07-03T14:48:53
% 0.19/0.52
% 0.19/0.52
% 0.19/0.52 #||
% 0.19/0.52 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.52 % SZS output start Refutation
% See solution above
% 0.19/0.52 ||#
% 0.19/0.52
% 0.19/0.52 ; Summary of computation:
% 0.19/0.52 ; 216 formulas have been input or derived (from 14 formulas).
% 0.19/0.52 ; 60 (28%) were retained. Of these,
% 0.19/0.52 ; 10 (17%) were simplified or subsumed later,
% 0.19/0.52 ; 50 (83%) are still being kept.
% 0.19/0.52 ;
% 0.19/0.52 ; Run time in seconds excluding printing time:
% 0.19/0.52 ; 0.001 2% Read assertion file (1 call)
% 0.19/0.52 ; 0.000 0% Assert (3 calls)
% 0.19/0.52 ; 0.009 21% Process new row (123 calls)
% 0.19/0.52 ; 0.005 12% Resolution (26 calls)
% 0.19/0.52 ; 0.000 0% Paramodulation (13 calls)
% 0.19/0.52 ; 0.000 0% Condensing (1 call)
% 0.19/0.52 ; 0.000 0% Forward subsumption (1 call)
% 0.19/0.52 ; 0.000 0% Backward subsumption (1 call)
% 0.19/0.52 ; 0.002 5% Forward simplification (123 calls)
% 0.19/0.52 ; 0.002 5% Backward simplification (60 calls)
% 0.19/0.52 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.52 ; 0.000 0% Purity testing (1 call)
% 0.19/0.52 ; 0.024 56% Other
% 0.19/0.52 ; 0.043 Total
% 0.19/0.52 ; 0.044 Real time
% 0.19/0.52 ;
% 0.19/0.52 ; Term-hash-array has 215 terms in all.
% 0.19/0.52 ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 0.19/0.52 ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 0.19/0.52 ; Retrieved 0 possibly forward subsuming rows in 1 call.
% 0.19/0.52 ; Retrieved 0 possibly backward subsumed rows in 1 call.
% 0.19/0.52 ; Path-index has 199 entries (217 at peak, 217 added, 18 deleted).
% 0.19/0.52 ; Path-index has 463 nodes (465 at peak, 465 added, 2 deleted).
% 0.19/0.52 ; Trie-index has 199 entries (217 at peak, 217 added, 18 deleted).
% 0.19/0.52 ; Trie-index has 1,019 nodes (1,092 at peak, 1,092 added, 73 deleted).
% 0.19/0.52 ; Retrieved 127 generalization terms in 120 calls.
% 0.19/0.52 ; Retrieved 225 instance terms in 58 calls.
% 0.19/0.52 ; Retrieved 1,800 unifiable terms in 247 calls.
% 0.19/0.52 ;
% 0.19/0.52 ; The agenda of rows to process has 27 entries:
% 0.19/0.52 ; 7 with value 21 7 with value 26 1 with value 30
% 0.19/0.52 ; 1 with value 23 2 with value 28 1 with value 33
% 0.19/0.52 ; 6 with value 24 1 with value 29 1 with value 34
% 0.19/0.52 ; The agenda of rows to give has 38 entries:
% 0.19/0.52 ; 2 with value (4 16) 2 with value (4 30) 1 with value (4 37)
% 0.19/0.52 ; 1 with value (4 19) 1 with value (4 31) 2 with value (4 39)
% 0.19/0.52 ; 2 with value (4 25) 2 with value (4 32) 2 with value (4 40)
% 0.19/0.52 ; 2 with value (4 26) 4 with value (4 33) 1 with value (4 43)
% 0.19/0.52 ; 3 with value (4 27) 5 with value (4 34) 1 with value (4 50)
% 0.19/0.52 ; 4 with value (4 28) 3 with value (4 36)
% 0.19/0.52 Evaluation took:
% 0.19/0.52 0.045 seconds of real time
% 0.19/0.52 0.040396 seconds of user run time
% 0.19/0.52 0.00518 seconds of system run time
% 0.19/0.52 0 calls to %EVAL
% 0.19/0.52 0 page faults and
% 0.19/0.52 3,312,152 bytes consed.
% 0.19/0.52 :PROOF-FOUND
% 0.19/0.52 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-03T14:48:53
% 0.19/0.52 :PROOF-FOUND
% 0.19/0.52 *
%------------------------------------------------------------------------------