TSTP Solution File: GEO193+2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO193+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n020.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 06:14:45 EDT 2022
% Result : Theorem 0.19s 0.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 9
% Syntax : Number of clauses : 15 ( 11 unt; 1 nHn; 15 RR)
% Number of literals : 25 ( 0 equ; 12 neg)
% Maximal clause size : 6 ( 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 : 13 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ distinct_points(X,X),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',apart1) ).
cnf(9,axiom,
( ~ convergent_lines(X,Y)
| ~ apart_point_and_line(Z,X)
| distinct_points(Z,intersection_point(X,Y)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',con2) ).
cnf(10,axiom,
( ~ convergent_lines(X,Y)
| ~ apart_point_and_line(Z,Y)
| distinct_points(Z,intersection_point(X,Y)) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GEO008+0.ax',cu1) ).
cnf(14,axiom,
( ~ convergent_lines(X,Y)
| distinct_lines(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',ceq3) ).
cnf(15,negated_conjecture,
convergent_lines('SKOLEMAAAO1','SKOLEMAAAO2'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
cnf(16,negated_conjecture,
convergent_lines('SKOLEMAAAO3','SKOLEMAAAO2'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
cnf(18,negated_conjecture,
apart_point_and_line(intersection_point('SKOLEMAAAO1','SKOLEMAAAO2'),'SKOLEMAAAO3'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
cnf(19,negated_conjecture,
~ apart_point_and_line(intersection_point('SKOLEMAAAO3','SKOLEMAAAO2'),'SKOLEMAAAO1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
cnf(21,plain,
distinct_lines('SKOLEMAAAO1','SKOLEMAAAO2'),
inference('HYPERRESOLVE',[status(thm)],[14,15]) ).
cnf(32,plain,
~ apart_point_and_line(intersection_point('SKOLEMAAAO1','SKOLEMAAAO2'),'SKOLEMAAAO1'),
inference('UR-RESOLVE',[status(thm)],[9,15,1]) ).
cnf(34,plain,
distinct_points(intersection_point('SKOLEMAAAO1','SKOLEMAAAO2'),intersection_point('SKOLEMAAAO3','SKOLEMAAAO2')),
inference('HYPERRESOLVE',[status(thm)],[9,16,18]) ).
cnf(36,plain,
~ apart_point_and_line(intersection_point('SKOLEMAAAO1','SKOLEMAAAO2'),'SKOLEMAAAO2'),
inference('UR-RESOLVE',[status(thm)],[10,15,1]) ).
cnf(37,plain,
~ apart_point_and_line(intersection_point('SKOLEMAAAO3','SKOLEMAAAO2'),'SKOLEMAAAO2'),
inference('UR-RESOLVE',[status(thm)],[10,16,1]) ).
cnf(56,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[11,37,21,32,36,19]),34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO193+2 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n020.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 : Fri Jun 17 17:56:04 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-17T17:56:04
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-06-17T17:56:04
% 0.19/0.49
% 0.19/0.49
% 0.19/0.49 #||
% 0.19/0.49 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.49 % SZS output start Refutation
% See solution above
% 0.19/0.49 ||#
% 0.19/0.49
% 0.19/0.49 ; Summary of computation:
% 0.19/0.49 ; 141 formulas have been input or derived (from 35 formulas).
% 0.19/0.49 ; 56 (40%) were retained. Of these,
% 0.19/0.49 ; 56 (100%) are still being kept.
% 0.19/0.49 ;
% 0.19/0.49 ; Run time in seconds excluding printing time:
% 0.19/0.49 ; 0.002 10% Read assertion file (1 call)
% 0.19/0.49 ; 0.001 5% Assert (13 calls)
% 0.19/0.49 ; 0.002 10% Process new row (116 calls)
% 0.19/0.49 ; 0.002 10% Resolution (68 calls)
% 0.19/0.49 ; 0.000 0% Paramodulation (34 calls)
% 0.19/0.49 ; 0.000 0% Condensing (25 calls)
% 0.19/0.49 ; 0.000 0% Forward subsumption (25 calls)
% 0.19/0.49 ; 0.000 0% Backward subsumption (19 calls)
% 0.19/0.49 ; 0.000 0% Clause clause subsumption (10 calls)
% 0.19/0.49 ; 0.001 5% Forward simplification (116 calls)
% 0.19/0.49 ; 0.000 0% Backward simplification (56 calls)
% 0.19/0.49 ; 0.000 0% Ordering (7 calls)
% 0.19/0.49 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.49 ; 0.000 0% Purity testing (1 call)
% 0.19/0.49 ; 0.012 60% Other
% 0.19/0.49 ; 0.020 Total
% 0.19/0.49 ; 0.021 Real time
% 0.19/0.49 ;
% 0.19/0.49 ; Term-hash-array has 74 terms in all.
% 0.19/0.49 ; Feature-vector-row-index has 19 entries (19 at peak, 19 added, 0 deleted).
% 0.19/0.49 ; Feature-vector-row-index has 45 nodes (45 at peak, 45 added, 0 deleted).
% 0.19/0.49 ; Retrieved 8 possibly forward subsuming rows in 25 calls.
% 0.19/0.49 ; Retrieved 2 possibly backward subsumed rows in 19 calls.
% 0.19/0.49 ; Path-index has 77 entries (77 at peak, 77 added, 0 deleted).
% 0.19/0.49 ; Path-index has 87 nodes (87 at peak, 87 added, 0 deleted).
% 0.19/0.49 ; Trie-index has 77 entries (77 at peak, 77 added, 0 deleted).
% 0.19/0.49 ; Trie-index has 109 nodes (109 at peak, 109 added, 0 deleted).
% 0.19/0.49 ; Retrieved 123 generalization terms in 138 calls.
% 0.19/0.49 ; Retrieved 36 instance terms in 36 calls.
% 0.19/0.49 ; Retrieved 2,015 unifiable terms in 477 calls.
% 0.19/0.49 ;
% 0.19/0.49 ; The agenda of rows to process has 5 entries:
% 0.19/0.49 ; 1 with value 11 4 with value 12
% 0.19/0.49 ; The agenda of rows to give has 21 entries:
% 0.19/0.49 ; 9 with value (4 9) 5 with value (4 11) 2 with value (4 12)
% 0.19/0.49 ; 5 with value (4 10)
% 0.19/0.49 Evaluation took:
% 0.19/0.49 0.021 seconds of real time
% 0.19/0.49 0.016958 seconds of user run time
% 0.19/0.49 0.004779 seconds of system run time
% 0.19/0.49 0 calls to %EVAL
% 0.19/0.49 0 page faults and
% 0.19/0.49 2,690,104 bytes consed.
% 0.19/0.49 :PROOF-FOUND
% 0.19/0.49 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-17T17:56:04
% 0.19/0.49 :PROOF-FOUND
% 0.19/0.49 *
%------------------------------------------------------------------------------