TSTP Solution File: GEO205+2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO205+2 : TPTP v8.1.0. Released v3.3.0.
% 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 06:14:55 EDT 2022
% Result : Theorem 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 12
% Syntax : Number of clauses : 26 ( 16 unt; 6 nHn; 23 RR)
% Number of literals : 46 ( 0 equ; 20 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 : 23 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ distinct_points(X,X),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',apart1) ).
cnf(2,axiom,
~ distinct_lines(X,X),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',apart2) ).
cnf(5,axiom,
( ~ distinct_lines(X,Y)
| distinct_lines(X,Z)
| distinct_lines(Y,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',apart5) ).
cnf(6,axiom,
( ~ convergent_lines(X,Y)
| convergent_lines(X,Z)
| convergent_lines(Y,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',apart6) ).
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(10,axiom,
( ~ convergent_lines(X,Y)
| ~ apart_point_and_line(Z,Y)
| 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(13,axiom,
( ~ apart_point_and_line(X,Y)
| distinct_lines(Y,Z)
| apart_point_and_line(X,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',ceq2) ).
cnf(14,axiom,
( ~ convergent_lines(X,Y)
| distinct_lines(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',ceq3) ).
cnf(15,negated_conjecture,
convergent_lines('SKOLEMAAAU1','SKOLEMAAAU2'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
cnf(16,negated_conjecture,
~ distinct_lines('SKOLEMAAAU2','SKOLEMAAAU3'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
cnf(17,negated_conjecture,
( ~ convergent_lines('SKOLEMAAAU1','SKOLEMAAAU3')
| distinct_points(intersection_point('SKOLEMAAAU1','SKOLEMAAAU2'),intersection_point('SKOLEMAAAU1','SKOLEMAAAU3')) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
cnf(18,plain,
distinct_lines('SKOLEMAAAU1','SKOLEMAAAU2'),
inference('HYPERRESOLVE',[status(thm)],[14,15]) ).
cnf(19,plain,
~ convergent_lines('SKOLEMAAAU2','SKOLEMAAAU3'),
inference('UR-RESOLVE',[status(thm)],[14,16]) ).
cnf(20,plain,
~ distinct_lines('SKOLEMAAAU3','SKOLEMAAAU2'),
inference('UR-RESOLVE',[status(thm)],[5,2,16]) ).
cnf(23,plain,
~ apart_point_and_line(intersection_point('SKOLEMAAAU1','SKOLEMAAAU2'),'SKOLEMAAAU1'),
inference('UR-RESOLVE',[status(thm)],[9,15,1]) ).
cnf(24,plain,
~ apart_point_and_line(intersection_point('SKOLEMAAAU1','SKOLEMAAAU2'),'SKOLEMAAAU2'),
inference('UR-RESOLVE',[status(thm)],[10,15,1]) ).
cnf(25,plain,
distinct_lines('SKOLEMAAAU1','SKOLEMAAAU3'),
inference('UR-RESOLVE',[status(thm)],[5,18,16]) ).
cnf(29,plain,
convergent_lines('SKOLEMAAAU1','SKOLEMAAAU3'),
inference('UR-RESOLVE',[status(thm)],[6,19,15]) ).
cnf(30,plain,
distinct_points(intersection_point('SKOLEMAAAU1','SKOLEMAAAU2'),intersection_point('SKOLEMAAAU1','SKOLEMAAAU3')),
inference('REWRITE',[status(thm)],[17,29]) ).
cnf(40,plain,
( apart_point_and_line(intersection_point('SKOLEMAAAU1','SKOLEMAAAU2'),'SKOLEMAAAU3')
| apart_point_and_line(intersection_point('SKOLEMAAAU1','SKOLEMAAAU3'),'SKOLEMAAAU1')
| apart_point_and_line(intersection_point('SKOLEMAAAU1','SKOLEMAAAU3'),'SKOLEMAAAU3') ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[11,25,30]),23]) ).
cnf(42,plain,
~ apart_point_and_line(intersection_point('SKOLEMAAAU1','SKOLEMAAAU3'),'SKOLEMAAAU3'),
inference('UR-RESOLVE',[status(thm)],[10,29,1]) ).
cnf(43,plain,
( apart_point_and_line(intersection_point('SKOLEMAAAU1','SKOLEMAAAU2'),'SKOLEMAAAU3')
| apart_point_and_line(intersection_point('SKOLEMAAAU1','SKOLEMAAAU3'),'SKOLEMAAAU1') ),
inference('REWRITE',[status(thm)],[40,42]) ).
cnf(44,plain,
~ apart_point_and_line(intersection_point('SKOLEMAAAU1','SKOLEMAAAU3'),'SKOLEMAAAU1'),
inference('UR-RESOLVE',[status(thm)],[9,29,1]) ).
cnf(46,plain,
apart_point_and_line(intersection_point('SKOLEMAAAU1','SKOLEMAAAU2'),'SKOLEMAAAU3'),
inference('REWRITE',[status(thm)],[43,44]) ).
cnf(50,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[13,24,20]),46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GEO205+2 : TPTP v8.1.0. Released v3.3.0.
% 0.14/0.14 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n010.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sat Jun 18 15:56:53 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T15:56:53
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n010.cluster.edu at 2022-06-18T15:56:53
% 0.20/0.52
% 0.20/0.52
% 0.20/0.52 #||
% 0.20/0.52 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.52 % SZS output start Refutation
% See solution above
% 0.20/0.52 ||#
% 0.20/0.52
% 0.20/0.52 ; Summary of computation:
% 0.20/0.52 ; 108 formulas have been input or derived (from 31 formulas).
% 0.20/0.52 ; 50 (46%) were retained. Of these,
% 0.20/0.52 ; 4 ( 8%) were simplified or subsumed later,
% 0.20/0.52 ; 46 (92%) are still being kept.
% 0.20/0.52 ;
% 0.20/0.52 ; Run time in seconds excluding printing time:
% 0.20/0.52 ; 0.004 11% Read assertion file (1 call)
% 0.20/0.52 ; 0.000 0% Assert (13 calls)
% 0.20/0.52 ; 0.002 5% Process new row (99 calls)
% 0.20/0.52 ; 0.004 11% Resolution (60 calls)
% 0.20/0.52 ; 0.000 0% Paramodulation (30 calls)
% 0.20/0.52 ; 0.000 0% Condensing (25 calls)
% 0.20/0.52 ; 0.001 3% Forward subsumption (25 calls)
% 0.20/0.52 ; 0.000 0% Backward subsumption (20 calls)
% 0.20/0.52 ; 0.000 0% Clause clause subsumption (9 calls)
% 0.20/0.52 ; 0.002 5% Forward simplification (99 calls)
% 0.20/0.52 ; 0.001 3% Backward simplification (50 calls)
% 0.20/0.52 ; 0.000 0% Ordering (12 calls)
% 0.20/0.52 ; 0.001 3% Sortal reasoning (32 calls)
% 0.20/0.52 ; 0.000 0% Purity testing (1 call)
% 0.20/0.52 ; 0.022 59% Other
% 0.20/0.52 ; 0.037 Total
% 0.20/0.52 ; 0.040 Real time
% 0.20/0.52 ;
% 0.20/0.52 ; Term-hash-array has 65 terms in all.
% 0.20/0.52 ; Feature-vector-row-index has 16 entries (17 at peak, 20 added, 4 deleted).
% 0.20/0.52 ; Feature-vector-row-index has 38 nodes (60 at peak, 83 added, 45 deleted).
% 0.20/0.52 ; Retrieved 7 possibly forward subsuming rows in 25 calls.
% 0.20/0.52 ; Retrieved 2 possibly backward subsumed rows in 20 calls.
% 0.20/0.52 ; Path-index has 68 entries (68 at peak, 73 added, 5 deleted).
% 0.20/0.52 ; Path-index has 103 nodes (103 at peak, 108 added, 5 deleted).
% 0.20/0.52 ; Trie-index has 68 entries (68 at peak, 73 added, 5 deleted).
% 0.20/0.52 ; Trie-index has 109 nodes (109 at peak, 119 added, 10 deleted).
% 0.20/0.52 ; Retrieved 110 generalization terms in 130 calls.
% 0.20/0.52 ; Retrieved 29 instance terms in 29 calls.
% 0.20/0.52 ; Retrieved 1,174 unifiable terms in 316 calls.
% 0.20/0.52 ;
% 0.20/0.52 ; The agenda of rows to process has 3 entries:
% 0.20/0.52 ; 1 with value 9 1 with value 11 1 with value 12
% 0.20/0.52 ; The agenda of rows to give has 16 entries:
% 0.20/0.52 ; 4 with value (4 9) 4 with value (4 11) 3 with value (4 15)
% 0.20/0.52 ; 5 with value (4 10)
% 0.20/0.52 Evaluation took:
% 0.20/0.52 0.041 seconds of real time
% 0.20/0.52 0.031263 seconds of user run time
% 0.20/0.52 0.009527 seconds of system run time
% 0.20/0.52 0 calls to %EVAL
% 0.20/0.52 0 page faults and
% 0.20/0.52 3,496,152 bytes consed.
% 0.20/0.52 :PROOF-FOUND
% 0.20/0.52 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T15:56:53
% 0.20/0.52 :PROOF-FOUND
% 0.20/0.52 *
%------------------------------------------------------------------------------