TSTP Solution File: GEO191+2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO191+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n014.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 06:14:43 EDT 2022
% Result : Theorem 0.41s 0.57s
% Output : Refutation 0.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of clauses : 17 ( 11 unt; 3 nHn; 17 RR)
% Number of literals : 29 ( 0 equ; 13 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 : 5 ( 5 usr; 4 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('SKOLEMAAAW1','SKOLEMAAAW2'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
cnf(16,negated_conjecture,
convergent_lines('SKOLEMAAAW3','SKOLEMAAAW4'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
cnf(17,negated_conjecture,
( apart_point_and_line(intersection_point('SKOLEMAAAW1','SKOLEMAAAW2'),'SKOLEMAAAW3')
| apart_point_and_line(intersection_point('SKOLEMAAAW1','SKOLEMAAAW2'),'SKOLEMAAAW4') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
cnf(18,negated_conjecture,
~ apart_point_and_line(intersection_point('SKOLEMAAAW3','SKOLEMAAAW4'),'SKOLEMAAAW1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
cnf(19,negated_conjecture,
~ apart_point_and_line(intersection_point('SKOLEMAAAW3','SKOLEMAAAW4'),'SKOLEMAAAW2'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
cnf(21,plain,
distinct_lines('SKOLEMAAAW1','SKOLEMAAAW2'),
inference('HYPERRESOLVE',[status(thm)],[14,15]) ).
cnf(29,plain,
~ apart_point_and_line(intersection_point('SKOLEMAAAW1','SKOLEMAAAW2'),'SKOLEMAAAW1'),
inference('UR-RESOLVE',[status(thm)],[9,15,1]) ).
cnf(31,plain,
~ apart_point_and_line(intersection_point('SKOLEMAAAW1','SKOLEMAAAW2'),'SKOLEMAAAW2'),
inference('UR-RESOLVE',[status(thm)],[10,15,1]) ).
cnf(32,plain,
( apart_point_and_line(intersection_point('SKOLEMAAAW1','SKOLEMAAAW2'),'SKOLEMAAAW3')
| distinct_points(intersection_point('SKOLEMAAAW1','SKOLEMAAAW2'),intersection_point('SKOLEMAAAW3','SKOLEMAAAW4')) ),
inference('HYPERRESOLVE',[status(thm)],[10,16,17]) ).
cnf(42,plain,
~ distinct_points(intersection_point('SKOLEMAAAW1','SKOLEMAAAW2'),intersection_point('SKOLEMAAAW3','SKOLEMAAAW4')),
inference('UR-RESOLVE',[status(thm)],[11,31,21,29,18,19]) ).
cnf(43,plain,
apart_point_and_line(intersection_point('SKOLEMAAAW1','SKOLEMAAAW2'),'SKOLEMAAAW3'),
inference('REWRITE',[status(thm)],[32,42]) ).
cnf(47,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[9,43,16]),42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : GEO191+2 : TPTP v8.1.0. Released v3.3.0.
% 0.13/0.15 % Command : run-snark %s %d
% 0.16/0.37 % Computer : n014.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 600
% 0.16/0.37 % DateTime : Sat Jun 18 01:39:04 EDT 2022
% 0.16/0.37 % CPUTime :
% 0.23/0.51 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.23/0.52 *
% 0.23/0.52 *
% 0.23/0.53 #<PACKAGE "SNARK-USER">
% 0.23/0.53 *
% 0.23/0.53 SNARK-TPTP-OPTIONS
% 0.23/0.53 *
% 0.23/0.53 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.23/0.53 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.23/0.53 (USE-FACTORING :POS)
% 0.23/0.53 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.23/0.53 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.23/0.53 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.23/0.53 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.23/0.53 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.23/0.53 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.23/0.53 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.23/0.53 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.23/0.53 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.23/0.53 (DECLARE-TPTP-SYMBOLS2))
% 0.23/0.53 *
% 0.23/0.53 "."
% 0.23/0.53 *
% 0.23/0.53 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T01:39:04
% 0.23/0.53 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2022-06-18T01:39:04
% 0.41/0.57
% 0.41/0.57
% 0.41/0.57 #||
% 0.41/0.57 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.41/0.57 % SZS output start Refutation
% See solution above
% 0.41/0.57 ||#
% 0.41/0.57
% 0.41/0.57 ; Summary of computation:
% 0.41/0.57 ; 105 formulas have been input or derived (from 31 formulas).
% 0.41/0.57 ; 47 (45%) were retained. Of these,
% 0.41/0.57 ; 5 (11%) were simplified or subsumed later,
% 0.41/0.57 ; 42 (89%) are still being kept.
% 0.41/0.57 ;
% 0.41/0.57 ; Run time in seconds excluding printing time:
% 0.41/0.57 ; 0.004 10% Read assertion file (1 call)
% 0.41/0.57 ; 0.001 2% Assert (13 calls)
% 0.41/0.57 ; 0.005 12% Process new row (90 calls)
% 0.41/0.57 ; 0.003 7% Resolution (60 calls)
% 0.41/0.57 ; 0.000 0% Paramodulation (30 calls)
% 0.41/0.57 ; 0.000 0% Factoring (1 call)
% 0.41/0.57 ; 0.001 2% Condensing (24 calls)
% 0.41/0.57 ; 0.000 0% Forward subsumption (24 calls)
% 0.41/0.57 ; 0.000 0% Backward subsumption (20 calls)
% 0.41/0.57 ; 0.000 0% Clause clause subsumption (10 calls)
% 0.41/0.57 ; 0.001 2% Forward simplification (90 calls)
% 0.41/0.57 ; 0.000 0% Backward simplification (47 calls)
% 0.41/0.57 ; 0.000 0% Ordering (16 calls)
% 0.41/0.57 ; 0.000 0% Sortal reasoning (32 calls)
% 0.41/0.57 ; 0.000 0% Purity testing (1 call)
% 0.41/0.57 ; 0.026 63% Other
% 0.41/0.57 ; 0.041 Total
% 0.41/0.57 ; 0.042 Real time
% 0.41/0.57 ;
% 0.41/0.57 ; Term-hash-array has 66 terms in all.
% 0.41/0.57 ; Feature-vector-row-index has 15 entries (20 at peak, 20 added, 5 deleted).
% 0.41/0.57 ; Feature-vector-row-index has 31 nodes (83 at peak, 83 added, 52 deleted).
% 0.41/0.57 ; Retrieved 7 possibly forward subsuming rows in 24 calls.
% 0.41/0.57 ; Retrieved 3 possibly backward subsumed rows in 20 calls.
% 0.41/0.57 ; Path-index has 65 entries (67 at peak, 70 added, 5 deleted).
% 0.41/0.57 ; Path-index has 95 nodes (95 at peak, 97 added, 2 deleted).
% 0.41/0.57 ; Trie-index has 65 entries (67 at peak, 70 added, 5 deleted).
% 0.41/0.57 ; Trie-index has 94 nodes (94 at peak, 100 added, 6 deleted).
% 0.41/0.57 ; Retrieved 95 generalization terms in 111 calls.
% 0.41/0.57 ; Retrieved 26 instance terms in 26 calls.
% 0.41/0.57 ; Retrieved 1,262 unifiable terms in 317 calls.
% 0.41/0.57 ;
% 0.41/0.57 ; The agenda of rows to process has 6 entries:
% 0.41/0.57 ; 4 with value 11 2 with value 13
% 0.41/0.57 ; The agenda of rows to give has 12 entries:
% 0.41/0.57 ; 2 with value (4 6) 2 with value (4 10) 2 with value (4 11)
% 0.41/0.57 ; 6 with value (4 9)
% 0.41/0.57 Evaluation took:
% 0.41/0.57 0.043 seconds of real time
% 0.41/0.57 0.034171 seconds of user run time
% 0.41/0.57 0.008009 seconds of system run time
% 0.41/0.57 0 calls to %EVAL
% 0.41/0.57 0 page faults and
% 0.41/0.57 2,857,608 bytes consed.
% 0.41/0.57 :PROOF-FOUND
% 0.41/0.57 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T01:39:04
% 0.41/0.57 :PROOF-FOUND
% 0.41/0.57 *
%------------------------------------------------------------------------------