TSTP Solution File: GEO203+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO203+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n023.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 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 8
% Syntax : Number of clauses : 13 ( 9 unt; 1 nHn; 13 RR)
% Number of literals : 21 ( 0 equ; 12 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 : 10 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(7,axiom,
( ~ distinct_points(X,Y)
| ~ apart_point_and_line(X,line_connecting(X,Y)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ci1) ).
cnf(8,axiom,
( ~ distinct_points(X,Y)
| ~ apart_point_and_line(Y,line_connecting(X,Y)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ci2) ).
cnf(9,axiom,
( ~ convergent_lines(X,Y)
| ~ apart_point_and_line(intersection_point(X,Y),X) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ci3) ).
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/sandbox/benchmark/Axioms/GEO006+0.ax',cu1) ).
cnf(15,negated_conjecture,
convergent_lines('SKOLEMAAAU1','SKOLEMAAAU2'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
cnf(16,negated_conjecture,
convergent_lines('SKOLEMAAAU1','SKOLEMAAAU3'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
cnf(17,negated_conjecture,
distinct_points(intersection_point('SKOLEMAAAU1','SKOLEMAAAU2'),intersection_point('SKOLEMAAAU1','SKOLEMAAAU3')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
cnf(18,negated_conjecture,
distinct_lines(line_connecting(intersection_point('SKOLEMAAAU1','SKOLEMAAAU2'),intersection_point('SKOLEMAAAU1','SKOLEMAAAU3')),'SKOLEMAAAU1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
cnf(19,plain,
~ apart_point_and_line(intersection_point('SKOLEMAAAU1','SKOLEMAAAU2'),line_connecting(intersection_point('SKOLEMAAAU1','SKOLEMAAAU2'),intersection_point('SKOLEMAAAU1','SKOLEMAAAU3'))),
inference('UR-RESOLVE',[status(thm)],[7,17]) ).
cnf(20,plain,
~ apart_point_and_line(intersection_point('SKOLEMAAAU1','SKOLEMAAAU3'),line_connecting(intersection_point('SKOLEMAAAU1','SKOLEMAAAU2'),intersection_point('SKOLEMAAAU1','SKOLEMAAAU3'))),
inference('UR-RESOLVE',[status(thm)],[8,17]) ).
cnf(21,plain,
~ apart_point_and_line(intersection_point('SKOLEMAAAU1','SKOLEMAAAU3'),'SKOLEMAAAU1'),
inference('UR-RESOLVE',[status(thm)],[9,16]) ).
cnf(22,plain,
~ apart_point_and_line(intersection_point('SKOLEMAAAU1','SKOLEMAAAU2'),'SKOLEMAAAU1'),
inference('UR-RESOLVE',[status(thm)],[9,15]) ).
cnf(37,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[11,17,18]),21,20,22,19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO203+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n023.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 : Sat Jun 18 06:32:34 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T06:32:34
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-06-18T06:32:34
% 0.20/0.51
% 0.20/0.51
% 0.20/0.51 #||
% 0.20/0.51 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.51 % SZS output start Refutation
% See solution above
% 0.20/0.51 ||#
% 0.20/0.51
% 0.20/0.51 ; Summary of computation:
% 0.20/0.51 ; 47 formulas have been input or derived (from 19 formulas).
% 0.20/0.51 ; 37 (79%) were retained. Of these,
% 0.20/0.51 ; 37 (100%) are still being kept.
% 0.20/0.51 ;
% 0.20/0.51 ; Run time in seconds excluding printing time:
% 0.20/0.51 ; 0.004 12% Read assertion file (1 call)
% 0.20/0.51 ; 0.000 0% Assert (15 calls)
% 0.20/0.51 ; 0.002 6% Process new row (47 calls)
% 0.20/0.51 ; 0.000 0% Resolution (36 calls)
% 0.20/0.51 ; 0.000 0% Paramodulation (18 calls)
% 0.20/0.51 ; 0.000 0% Condensing (17 calls)
% 0.20/0.51 ; 0.002 6% Forward subsumption (17 calls)
% 0.20/0.51 ; 0.000 0% Backward subsumption (17 calls)
% 0.20/0.51 ; 0.000 0% Clause clause subsumption (4 calls)
% 0.20/0.51 ; 0.000 0% Forward simplification (47 calls)
% 0.20/0.51 ; 0.001 3% Backward simplification (37 calls)
% 0.20/0.51 ; 0.000 0% Ordering (9 calls)
% 0.20/0.51 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.51 ; 0.000 0% Purity testing (1 call)
% 0.20/0.51 ; 0.024 73% Other
% 0.20/0.51 ; 0.033 Total
% 0.20/0.51 ; 0.035 Real time
% 0.20/0.51 ;
% 0.20/0.51 ; Term-hash-array has 53 terms in all.
% 0.20/0.51 ; Feature-vector-row-index has 17 entries (17 at peak, 17 added, 0 deleted).
% 0.20/0.51 ; Feature-vector-row-index has 49 nodes (49 at peak, 49 added, 0 deleted).
% 0.20/0.51 ; Retrieved 2 possibly forward subsuming rows in 17 calls.
% 0.20/0.51 ; Retrieved 2 possibly backward subsumed rows in 17 calls.
% 0.20/0.51 ; Path-index has 56 entries (56 at peak, 56 added, 0 deleted).
% 0.20/0.51 ; Path-index has 121 nodes (121 at peak, 121 added, 0 deleted).
% 0.20/0.51 ; Trie-index has 56 entries (56 at peak, 56 added, 0 deleted).
% 0.20/0.51 ; Trie-index has 105 nodes (105 at peak, 105 added, 0 deleted).
% 0.20/0.51 ; Retrieved 56 generalization terms in 61 calls.
% 0.20/0.51 ; Retrieved 19 instance terms in 19 calls.
% 0.20/0.51 ; Retrieved 377 unifiable terms in 115 calls.
% 0.20/0.51 ;
% 0.20/0.51 ; The agenda of rows to give has 18 entries:
% 0.20/0.51 ; 4 with value (4 5) 1 with value (4 10) 3 with value (4 15)
% 0.20/0.51 ; 4 with value (4 8) 1 with value (4 13) 1 with value (4 17)
% 0.20/0.51 ; 4 with value (4 9)
% 0.20/0.51 Evaluation took:
% 0.20/0.51 0.035 seconds of real time
% 0.20/0.51 0.026904 seconds of user run time
% 0.20/0.51 0.008176 seconds of system run time
% 0.20/0.51 0 calls to %EVAL
% 0.20/0.51 0 page faults and
% 0.20/0.51 2,456,136 bytes consed.
% 0.20/0.51 :PROOF-FOUND
% 0.20/0.51 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T06:32:34
% 0.20/0.51 :PROOF-FOUND
% 0.20/0.51 *
%------------------------------------------------------------------------------