TSTP Solution File: GEO203+2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO203+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n032.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 06:14:53 EDT 2022
% Result : Theorem 0.14s 0.40s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 9
% Syntax : Number of clauses : 14 ( 10 unt; 1 nHn; 14 RR)
% Number of literals : 25 ( 0 equ; 13 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 14 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ distinct_points(X,X),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',apart1) ).
cnf(7,axiom,
( ~ distinct_points(X,Y)
| ~ apart_point_and_line(Z,line_connecting(X,Y))
| distinct_points(Z,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',con1) ).
cnf(8,axiom,
( ~ distinct_points(X,Y)
| ~ apart_point_and_line(Z,line_connecting(X,Y))
| distinct_points(Z,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',con1) ).
cnf(9,axiom,
( ~ convergent_lines(X,Y)
| ~ apart_point_and_line(Z,X)
| distinct_points(Z,intersection_point(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',con2) ).
cnf(11,axiom,
( ~ distinct_points(X,Y)
| ~ distinct_lines(Z,U)
| apart_point_and_line(X,Z)
| apart_point_and_line(X,U)
| apart_point_and_line(Y,Z)
| apart_point_and_line(Y,U) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',cu1) ).
cnf(15,negated_conjecture,
convergent_lines('SKOLEMAAAN1','SKOLEMAAAN2'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
cnf(16,negated_conjecture,
convergent_lines('SKOLEMAAAN1','SKOLEMAAAN3'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
cnf(17,negated_conjecture,
distinct_points(intersection_point('SKOLEMAAAN1','SKOLEMAAAN2'),intersection_point('SKOLEMAAAN1','SKOLEMAAAN3')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
cnf(18,negated_conjecture,
distinct_lines(line_connecting(intersection_point('SKOLEMAAAN1','SKOLEMAAAN2'),intersection_point('SKOLEMAAAN1','SKOLEMAAAN3')),'SKOLEMAAAN1'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
cnf(29,plain,
~ apart_point_and_line(intersection_point('SKOLEMAAAN1','SKOLEMAAAN2'),line_connecting(intersection_point('SKOLEMAAAN1','SKOLEMAAAN2'),intersection_point('SKOLEMAAAN1','SKOLEMAAAN3'))),
inference('UR-RESOLVE',[status(thm)],[7,17,1]) ).
cnf(30,plain,
~ apart_point_and_line(intersection_point('SKOLEMAAAN1','SKOLEMAAAN3'),line_connecting(intersection_point('SKOLEMAAAN1','SKOLEMAAAN2'),intersection_point('SKOLEMAAAN1','SKOLEMAAAN3'))),
inference('UR-RESOLVE',[status(thm)],[8,17,1]) ).
cnf(31,plain,
~ apart_point_and_line(intersection_point('SKOLEMAAAN1','SKOLEMAAAN3'),'SKOLEMAAAN1'),
inference('UR-RESOLVE',[status(thm)],[9,16,1]) ).
cnf(32,plain,
~ apart_point_and_line(intersection_point('SKOLEMAAAN1','SKOLEMAAAN2'),'SKOLEMAAAN1'),
inference('UR-RESOLVE',[status(thm)],[9,15,1]) ).
cnf(35,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[11,17,18]),31,30,32,29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GEO203+2 : TPTP v8.1.0. Released v3.3.0.
% 0.00/0.10 % Command : run-snark %s %d
% 0.10/0.28 % Computer : n032.cluster.edu
% 0.10/0.28 % Model : x86_64 x86_64
% 0.10/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.28 % Memory : 8042.1875MB
% 0.10/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.28 % CPULimit : 300
% 0.10/0.28 % WCLimit : 600
% 0.10/0.28 % DateTime : Fri Jun 17 15:30:46 EDT 2022
% 0.10/0.28 % CPUTime :
% 0.14/0.37 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.37 *
% 0.14/0.37 *
% 0.14/0.38 #<PACKAGE "SNARK-USER">
% 0.14/0.38 *
% 0.14/0.38 SNARK-TPTP-OPTIONS
% 0.14/0.38 *
% 0.14/0.38 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.14/0.38 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.14/0.38 (USE-FACTORING :POS)
% 0.14/0.38 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.14/0.38 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.14/0.38 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.14/0.38 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.14/0.38 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.14/0.38 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.14/0.38 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.14/0.38 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.14/0.38 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.14/0.38 (DECLARE-TPTP-SYMBOLS2))
% 0.14/0.38 *
% 0.14/0.38 "."
% 0.14/0.38 *
% 0.14/0.38 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T15:30:46
% 0.14/0.38 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n032.cluster.edu at 2022-06-17T15:30:46
% 0.14/0.40
% 0.14/0.40
% 0.14/0.40 #||
% 0.14/0.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.40 % SZS output start Refutation
% See solution above
% 0.14/0.40 ||#
% 0.14/0.40
% 0.14/0.40 ; Summary of computation:
% 0.14/0.40 ; 45 formulas have been input or derived (from 19 formulas).
% 0.14/0.40 ; 35 (78%) were retained. Of these,
% 0.14/0.40 ; 35 (100%) are still being kept.
% 0.14/0.40 ;
% 0.14/0.40 ; Run time in seconds:
% 0.14/0.40 ; 0.002 10% Read assertion file (1 call)
% 0.14/0.40 ; 0.001 5% Assert (13 calls)
% 0.14/0.40 ; 0.001 5% Process new row (45 calls)
% 0.14/0.40 ; 0.002 10% Resolution (36 calls)
% 0.14/0.40 ; 0.000 0% Paramodulation (18 calls)
% 0.14/0.40 ; 0.001 5% Condensing (15 calls)
% 0.14/0.40 ; 0.000 0% Forward subsumption (15 calls)
% 0.14/0.40 ; 0.000 0% Backward subsumption (15 calls)
% 0.14/0.40 ; 0.000 0% Clause clause subsumption (4 calls)
% 0.14/0.40 ; 0.000 0% Forward simplification (45 calls)
% 0.14/0.40 ; 0.000 0% Backward simplification (35 calls)
% 0.14/0.40 ; 0.000 0% Ordering (7 calls)
% 0.14/0.40 ; 0.000 0% Sortal reasoning (32 calls)
% 0.14/0.40 ; 0.000 0% Purity testing (1 call)
% 0.14/0.40 ; 0.014 67% Other
% 0.14/0.40 ; 0.021 Total
% 0.14/0.40 ; 0.021 Real time
% 0.14/0.40 ;
% 0.14/0.40 ; Term-hash-array has 52 terms in all.
% 0.14/0.40 ; Feature-vector-row-index has 15 entries (15 at peak, 15 added, 0 deleted).
% 0.14/0.40 ; Feature-vector-row-index has 46 nodes (46 at peak, 46 added, 0 deleted).
% 0.14/0.40 ; Retrieved 2 possibly forward subsuming rows in 15 calls.
% 0.14/0.40 ; Retrieved 2 possibly backward subsumed rows in 15 calls.
% 0.14/0.40 ; Path-index has 55 entries (55 at peak, 55 added, 0 deleted).
% 0.14/0.40 ; Path-index has 121 nodes (121 at peak, 121 added, 0 deleted).
% 0.14/0.40 ; Trie-index has 55 entries (55 at peak, 55 added, 0 deleted).
% 0.14/0.40 ; Trie-index has 101 nodes (101 at peak, 101 added, 0 deleted).
% 0.14/0.40 ; Retrieved 55 generalization terms in 60 calls.
% 0.14/0.40 ; Retrieved 19 instance terms in 19 calls.
% 0.14/0.40 ; Retrieved 423 unifiable terms in 114 calls.
% 0.14/0.40 ;
% 0.14/0.40 ; The agenda of rows to give has 16 entries:
% 0.14/0.40 ; 4 with value (4 5) 1 with value (4 10) 3 with value (4 15)
% 0.14/0.40 ; 4 with value (4 8) 1 with value (4 13) 1 with value (4 17)
% 0.14/0.40 ; 2 with value (4 9)
% 0.14/0.40 Evaluation took:
% 0.14/0.40 0.021 seconds of real time
% 0.14/0.40 0.01728 seconds of user run time
% 0.14/0.40 0.003614 seconds of system run time
% 0.14/0.40 0 calls to %EVAL
% 0.14/0.40 0 page faults and
% 0.14/0.40 2,534,024 bytes consed.
% 0.14/0.40 :PROOF-FOUND
% 0.14/0.40 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T15:30:46
% 0.14/0.40 :PROOF-FOUND
% 0.14/0.40 *
%------------------------------------------------------------------------------