TSTP Solution File: LCL112-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL112-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n008.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 14:20:18 EDT 2022
% Result : Unsatisfiable 0.81s 1.02s
% Output : Refutation 0.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of clauses : 15 ( 14 unt; 0 nHn; 5 RR)
% Number of literals : 17 ( 0 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 29 ( 8 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(mv_1,axiom,
is_a_theorem(implies(X,implies(Y,X))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mv_1) ).
cnf(mv_2,axiom,
is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mv_2) ).
cnf(mv_3,axiom,
is_a_theorem(implies(implies(implies(X,Y),Y),implies(implies(Y,X),X))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mv_3) ).
cnf(mv_5,axiom,
is_a_theorem(implies(implies(not(X),not(Y)),implies(Y,X))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mv_5) ).
cnf(prove_mv_29,negated_conjecture,
~ is_a_theorem(implies(a,not(not(a)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_mv_29) ).
cnf(8,plain,
is_a_theorem(implies(X,implies(Y,implies(Z,Y)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,mv_1,mv_1]) ).
cnf(10,plain,
~ is_a_theorem(implies(not(not(not(a))),not(a))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,mv_5,prove_mv_29]) ).
cnf(13,plain,
is_a_theorem(implies(implies(implies(X,Y),Z),implies(Y,Z))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,mv_2,mv_1]) ).
cnf(14,plain,
is_a_theorem(implies(implies(implies(X,Y),Z),implies(implies(not(Y),not(X)),Z))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,mv_2,mv_5]) ).
cnf(25,plain,
is_a_theorem(implies(implies(implies(X,implies(Y,X)),Z),Z)),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,8,mv_3]) ).
cnf(42,plain,
is_a_theorem(implies(not(X),implies(X,Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,13,mv_5]) ).
cnf(57,plain,
is_a_theorem(implies(implies(implies(X,Y),Z),implies(not(X),Z))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,42,mv_2]) ).
cnf(542,plain,
~ is_a_theorem(implies(implies(not(not(a)),X),not(a))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,57,10]) ).
cnf(2076,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,14,25,542]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : LCL112-1 : TPTP v8.1.0. Released v1.0.0.
% 0.13/0.14 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n008.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sat Jul 2 17:01:38 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.48 *
% 0.21/0.48 *
% 0.21/0.49 #<PACKAGE "SNARK-USER">
% 0.21/0.49 *
% 0.21/0.49 SNARK-TPTP-OPTIONS
% 0.21/0.49 *
% 0.21/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49 (USE-FACTORING :POS)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49 *
% 0.21/0.49 "."
% 0.21/0.49 *
% 0.21/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-02T17:01:38
% 0.21/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-07-02T17:01:38
% 0.81/1.02
% 0.81/1.02
% 0.81/1.02 #||
% 0.81/1.02 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.81/1.02 % SZS output start Refutation
% See solution above
% 0.87/1.02 ||#
% 0.87/1.02
% 0.87/1.02 ; Summary of computation:
% 0.87/1.02 ; 4258 formulas have been input or derived (from 88 formulas).
% 0.87/1.02 ; 2076 (49%) were retained. Of these,
% 0.87/1.02 ; 2076 (100%) are still being kept.
% 0.87/1.02 ;
% 0.87/1.02 ; Run time in seconds excluding printing time:
% 0.87/1.02 ; 0.002 0% Read assertion file (1 call)
% 0.87/1.02 ; 0.000 0% Assert (6 calls)
% 0.87/1.02 ; 0.213 40% Process new row (3,421 calls)
% 0.87/1.02 ; 0.122 23% Resolution (174 calls)
% 0.87/1.02 ; 0.010 2% Paramodulation (87 calls)
% 0.87/1.02 ; 0.000 0% Condensing (1 call)
% 0.87/1.02 ; 0.000 0% Forward subsumption (1 call)
% 0.87/1.02 ; 0.000 0% Backward subsumption (1 call)
% 0.87/1.02 ; 0.081 15% Forward simplification (3,421 calls)
% 0.87/1.02 ; 0.058 11% Backward simplification (2,076 calls)
% 0.87/1.02 ; 0.000 0% Sortal reasoning (32 calls)
% 0.87/1.02 ; 0.000 0% Purity testing (1 call)
% 0.87/1.02 ; 0.043 8% Other
% 0.87/1.02 ; 0.529 Total
% 0.87/1.02 ; 0.531 Real time
% 0.87/1.02 ;
% 0.87/1.02 ; Term-hash-array has 4,789 terms in all.
% 0.87/1.02 ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 0.87/1.02 ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 0.87/1.02 ; Retrieved 0 possibly forward subsuming rows in 1 call.
% 0.87/1.02 ; Retrieved 0 possibly backward subsumed rows in 1 call.
% 0.87/1.02 ; Path-index has 4,790 entries (4,790 at peak, 4,790 added, 0 deleted).
% 0.87/1.02 ; Path-index has 1,241 nodes (1,241 at peak, 1,241 added, 0 deleted).
% 0.87/1.02 ; Trie-index has 4,790 entries (4,790 at peak, 4,790 added, 0 deleted).
% 0.87/1.02 ; Trie-index has 11,516 nodes (11,516 at peak, 11,516 added, 0 deleted).
% 0.87/1.02 ; Retrieved 30,297 generalization terms in 3,418 calls.
% 0.87/1.02 ; Retrieved 6,978 instance terms in 2,074 calls.
% 0.87/1.02 ; Retrieved 225,345 unifiable terms in 2,231 calls.
% 0.87/1.02 ;
% 0.87/1.02 ; The agenda of rows to process has 163 entries:
% 0.87/1.02 ; 4 with value 11 8 with value 21 4 with value 30
% 0.87/1.02 ; 4 with value 14 16 with value 22 3 with value 31
% 0.87/1.02 ; 3 with value 15 16 with value 23 7 with value 32
% 0.87/1.02 ; 6 with value 16 8 with value 24 9 with value 33
% 0.87/1.02 ; 9 with value 17 8 with value 26 13 with value 34
% 0.87/1.02 ; 7 with value 18 5 with value 28 11 with value 35
% 0.87/1.02 ; 11 with value 19 2 with value 29 3 with value 36
% 0.87/1.02 ; 6 with value 20
% 0.87/1.02 ; The agenda of rows to give has 1988 entries:
% 0.87/1.02 ; 30 with value (4 20) 128 with value (4 25) 254 with value (4 30)
% 0.87/1.02 ; 37 with value (4 21) 150 with value (4 26) 248 with value (4 31)
% 0.87/1.02 ; 65 with value (4 22) 169 with value (4 27) 159 with value (4 32)
% 0.87/1.02 ; 83 with value (4 23) 238 with value (4 28) 80 with value (4 33)
% 0.87/1.02 ; 86 with value (4 24) 250 with value (4 29) 11 with value (4 34)
% 0.87/1.02 Evaluation took:
% 0.87/1.02 0.532 seconds of real time
% 0.87/1.02 0.496216 seconds of user run time
% 0.87/1.02 0.034547 seconds of system run time
% 0.87/1.02 [Run times include 0.024 seconds GC run time.]
% 0.87/1.02 0 calls to %EVAL
% 0.87/1.02 0 page faults and
% 0.87/1.02 32,640,128 bytes consed.
% 0.87/1.02 :PROOF-FOUND
% 0.87/1.02 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-02T17:01:39
% 0.87/1.02 :PROOF-FOUND
% 0.87/1.02 *
%------------------------------------------------------------------------------