TSTP Solution File: GEO206+3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO206+3 : TPTP v8.1.0. Bugfixed v4.0.1.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n010.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 : Sat Jul 16 06:14:56 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of clauses : 13 ( 9 unt; 2 nHn; 11 RR)
% Number of literals : 18 ( 0 equ; 10 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 14 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,axiom,
( ~ distinct_lines(X,Y)
| distinct_lines(X,Z)
| distinct_lines(Y,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',apart5) ).
cnf(15,axiom,
( ~ distinct_lines(X,Y)
| convergent_lines(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+1.ax',p1) ).
cnf(16,axiom,
~ convergent_lines(parallel_through_point(X,Y),X),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+2.ax',cp1) ).
cnf(37,axiom,
( equal_lines(X,Y)
| distinct_lines(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+6.ax',ax2) ).
cnf(38,axiom,
( ~ parallel_lines(X,Y)
| ~ convergent_lines(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+6.ax',a3) ).
cnf(45,negated_conjecture,
parallel_lines('SKOLEMAAAU2','SKOLEMAAAU3'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
cnf(46,negated_conjecture,
~ equal_lines('SKOLEMAAAU2',parallel_through_point('SKOLEMAAAU3','SKOLEMAAAU1')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
cnf(47,plain,
~ distinct_lines(parallel_through_point(X,Y),X),
inference('UR-RESOLVE',[status(thm)],[15,16]) ).
cnf(53,plain,
distinct_lines('SKOLEMAAAU2',parallel_through_point('SKOLEMAAAU3','SKOLEMAAAU1')),
inference('HYPERRESOLVE',[status(thm)],[46,37]) ).
cnf(54,plain,
~ convergent_lines('SKOLEMAAAU2','SKOLEMAAAU3'),
inference('UR-RESOLVE',[status(thm)],[38,45]) ).
cnf(65,plain,
~ distinct_lines('SKOLEMAAAU2','SKOLEMAAAU3'),
inference('UR-RESOLVE',[status(thm)],[15,54]) ).
cnf(83,plain,
~ distinct_lines('SKOLEMAAAU2',parallel_through_point('SKOLEMAAAU3',X)),
inference('UR-RESOLVE',[status(thm)],[5,47,65]) ).
cnf(84,plain,
$false,
inference('REWRITE',[status(thm)],[53,83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GEO206+3 : TPTP v8.1.0. Bugfixed v4.0.1.
% 0.08/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n010.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 Jun 18 15:25:08 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T15:25:08
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n010.cluster.edu at 2022-06-18T15:25:08
% 0.19/0.51
% 0.19/0.51
% 0.19/0.51 #||
% 0.19/0.51 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.51 % SZS output start Refutation
% See solution above
% 0.19/0.51 ||#
% 0.19/0.51
% 0.19/0.51 ; Summary of computation:
% 0.19/0.51 ; 159 formulas have been input or derived (from 62 formulas).
% 0.19/0.51 ; 84 (53%) were retained. Of these,
% 0.19/0.51 ; 2 ( 2%) were simplified or subsumed later,
% 0.19/0.51 ; 82 (98%) are still being kept.
% 0.19/0.51 ;
% 0.19/0.51 ; Run time in seconds excluding printing time:
% 0.19/0.51 ; 0.010 21% Read assertion file (1 call)
% 0.19/0.51 ; 0.002 4% Assert (36 calls)
% 0.19/0.51 ; 0.004 8% Process new row (149 calls)
% 0.19/0.51 ; 0.004 8% Resolution (122 calls)
% 0.19/0.51 ; 0.000 0% Paramodulation (61 calls)
% 0.19/0.51 ; 0.000 0% Factoring (6 calls)
% 0.19/0.51 ; 0.001 2% Condensing (39 calls)
% 0.19/0.51 ; 0.001 2% Forward subsumption (39 calls)
% 0.19/0.51 ; 0.000 0% Backward subsumption (36 calls)
% 0.19/0.51 ; 0.000 0% Clause clause subsumption (28 calls)
% 0.19/0.51 ; 0.001 2% Forward simplification (149 calls)
% 0.19/0.51 ; 0.001 2% Backward simplification (84 calls)
% 0.19/0.51 ; 0.000 0% Ordering (15 calls)
% 0.19/0.51 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.51 ; 0.000 0% Purity testing (1 call)
% 0.19/0.51 ; 0.024 50% Other
% 0.19/0.51 ; 0.048 Total
% 0.19/0.51 ; 0.050 Real time
% 0.19/0.51 ;
% 0.19/0.51 ; Term-hash-array has 96 terms in all.
% 0.19/0.51 ; Feature-vector-row-index has 35 entries (35 at peak, 36 added, 1 deleted).
% 0.19/0.51 ; Feature-vector-row-index has 64 nodes (64 at peak, 64 added, 0 deleted).
% 0.19/0.51 ; Retrieved 17 possibly forward subsuming rows in 39 calls.
% 0.19/0.51 ; Retrieved 15 possibly backward subsumed rows in 36 calls.
% 0.19/0.51 ; Path-index has 98 entries (99 at peak, 99 added, 1 deleted).
% 0.19/0.51 ; Path-index has 222 nodes (223 at peak, 223 added, 1 deleted).
% 0.19/0.51 ; Trie-index has 98 entries (99 at peak, 99 added, 1 deleted).
% 0.19/0.51 ; Trie-index has 180 nodes (181 at peak, 181 added, 1 deleted).
% 0.19/0.51 ; Retrieved 151 generalization terms in 172 calls.
% 0.19/0.51 ; Retrieved 62 instance terms in 47 calls.
% 0.19/0.51 ; Retrieved 1,800 unifiable terms in 535 calls.
% 0.19/0.51 ;
% 0.19/0.51 ; The agenda of rows to process has 7 entries:
% 0.19/0.51 ; 5 with value 11 2 with value 12
% 0.19/0.51 ; The agenda of rows to give has 20 entries:
% 0.19/0.51 ; 10 with value (4 8) 5 with value (4 9) 5 with value (4 10)
% 0.19/0.51 Evaluation took:
% 0.19/0.51 0.05 seconds of real time
% 0.19/0.51 0.042759 seconds of user run time
% 0.19/0.51 0.006964 seconds of system run time
% 0.19/0.51 0 calls to %EVAL
% 0.19/0.51 0 page faults and
% 0.19/0.51 2,906,968 bytes consed.
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T15:25:08
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 *
%------------------------------------------------------------------------------