TSTP Solution File: LCL491+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL491+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n009.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 14:23:18 EDT 2022
% Result : Theorem 0.18s 0.52s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of clauses : 15 ( 11 unt; 0 nHn; 9 RR)
% Number of literals : 19 ( 4 equ; 8 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 5 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 12 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(25,axiom,
( or_2
| ~ is_a_theorem(implies('SKOLEMAAAT23',or('SKOLEMAAAT22','SKOLEMAAAT23'))) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+0.ax',or_2) ).
cnf(48,axiom,
( ~ r2
| is_a_theorem(implies(X,or(Y,X))) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+0.ax',r2) ).
cnf(56,axiom,
( ~ op_or
| or(X,Y) = not(and(not(X),not(Y))) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+1.ax',op_or) ).
cnf(58,axiom,
( ~ op_implies_and
| implies(X,Y) = not(and(X,not(Y))) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+1.ax',op_implies_and) ).
cnf(66,axiom,
r2,
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+4.ax',principia_r2) ).
cnf(71,axiom,
op_or,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_op_or) ).
cnf(72,axiom,
op_implies_and,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_op_implies_and) ).
cnf(73,negated_conjecture,
~ or_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_or_2) ).
cnf(74,plain,
~ is_a_theorem(implies('SKOLEMAAAT23',or('SKOLEMAAAT22','SKOLEMAAAT23'))),
inference('REWRITE',[status(thm)],[25,73]) ).
cnf(75,plain,
implies(X,Y) = not(and(X,not(Y))),
inference('REWRITE',[status(thm)],[58,72]) ).
cnf(82,plain,
~ is_a_theorem(not(and('SKOLEMAAAT23',not(or('SKOLEMAAAT22','SKOLEMAAAT23'))))),
inference('REWRITE',[status(thm)],[74,75,theory(equality)]) ).
cnf(113,plain,
or(X,Y) = not(and(not(X),not(Y))),
inference('REWRITE',[status(thm)],[56,71]) ).
cnf(117,plain,
~ is_a_theorem(not(and('SKOLEMAAAT23',not(not(and(not('SKOLEMAAAT22'),not('SKOLEMAAAT23'))))))),
inference('REWRITE',[status(thm)],[82,113,theory(equality)]) ).
cnf(123,plain,
is_a_theorem(not(and(X,not(not(and(not(Y),not(X))))))),
inference('REWRITE',[status(thm)],[48,75,113,66,theory(equality)]) ).
cnf(124,plain,
$false,
inference('REWRITE',[status(thm)],[117,123]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL491+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jul 2 23:18:52 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-02T23:18:52
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n009.cluster.edu at 2022-07-02T23:18:52
% 0.18/0.52
% 0.18/0.52
% 0.18/0.52 #||
% 0.18/0.52 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.52 % SZS output start Refutation
% See solution above
% 0.18/0.52 ||#
% 0.18/0.52
% 0.18/0.52 ; Summary of computation:
% 0.18/0.52 ; 130 formulas have been input or derived (from 1 formulas).
% 0.18/0.52 ; 124 (95%) were retained. Of these,
% 0.18/0.52 ; 67 (54%) were simplified or subsumed later,
% 0.18/0.52 ; 57 (46%) are still being kept.
% 0.18/0.52 ;
% 0.18/0.52 ; Run time in seconds excluding printing time:
% 0.18/0.52 ; 0.007 12% Read assertion file (1 call)
% 0.18/0.52 ; 0.003 5% Assert (45 calls)
% 0.18/0.52 ; 0.014 24% Process new row (125 calls)
% 0.18/0.52 ; 0.001 2% Condensing (101 calls)
% 0.18/0.52 ; 0.003 5% Forward subsumption (101 calls)
% 0.18/0.52 ; 0.002 3% Backward subsumption (101 calls)
% 0.18/0.52 ; 0.004 7% Forward simplification (125 calls)
% 0.18/0.52 ; 0.004 7% Backward simplification (124 calls)
% 0.18/0.52 ; 0.000 0% Ordering (2 calls)
% 0.18/0.52 ; 0.000 0% Sortal reasoning (32 calls)
% 0.18/0.52 ; 0.000 0% Purity testing (1 call)
% 0.18/0.52 ; 0.020 34% Other
% 0.18/0.52 ; 0.058 Total
% 0.18/0.52 ; 0.059 Real time
% 0.18/0.52 ;
% 0.18/0.52 ; Term-hash-array has 519 terms in all.
% 0.18/0.52 ; Feature-vector-row-index has 37 entries (60 at peak, 101 added, 64 deleted).
% 0.18/0.52 ; Feature-vector-row-index has 373 nodes (403 at peak, 805 added, 432 deleted).
% 0.18/0.52 ; Retrieved 26 possibly forward subsuming rows in 101 calls.
% 0.18/0.52 ; Retrieved 13 possibly backward subsumed rows in 101 calls.
% 0.18/0.52 ; Path-index has 378 entries (388 at peak, 721 added, 343 deleted).
% 0.18/0.52 ; Path-index has 1,096 nodes (1,115 at peak, 1,771 added, 675 deleted).
% 0.18/0.52 ; Trie-index has 378 entries (388 at peak, 721 added, 343 deleted).
% 0.18/0.52 ; Trie-index has 1,514 nodes (1,551 at peak, 2,568 added, 1,054 deleted).
% 0.18/0.52 ; Retrieved 69 generalization terms in 120 calls.
% 0.18/0.52 ; Retrieved 80 instance terms in 22 calls.
% 0.18/0.52 ;
% 0.18/0.52 ; The agenda of backward simplifiable rows to process has 5 entries:
% 0.18/0.52 ; 5 with value 0
% 0.18/0.52 ; The agenda of input rows to give has 56 entries:
% 0.18/0.52 ; 13 with value 1 4 with value 20 4 with value 30
% 0.18/0.52 ; 1 with value 10 2 with value 21 4 with value 33
% 0.18/0.52 ; 7 with value 13 1 with value 23 1 with value 34
% 0.18/0.52 ; 3 with value 14 2 with value 24 1 with value 36
% 0.18/0.52 ; 5 with value 18 2 with value 28 2 with value 40
% 0.18/0.52 ; 4 with value 19
% 0.18/0.52 Evaluation took:
% 0.18/0.52 0.06 seconds of real time
% 0.18/0.52 0.057769 seconds of user run time
% 0.18/0.52 0.001893 seconds of system run time
% 0.18/0.52 0 calls to %EVAL
% 0.18/0.52 0 page faults and
% 0.18/0.52 4,917,536 bytes consed.
% 0.18/0.52 :PROOF-FOUND
% 0.18/0.52 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-02T23:18:52
% 0.18/0.52 :PROOF-FOUND
% 0.18/0.52 *
%------------------------------------------------------------------------------