TSTP Solution File: GEO199+3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO199+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n028.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 06:14:50 EDT 2022
% Result : Theorem 0.39s 0.57s
% Output : Refutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 12
% Syntax : Number of clauses : 22 ( 14 unt; 5 nHn; 18 RR)
% Number of literals : 37 ( 0 equ; 18 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 22 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
~ convergent_lines(X,X),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',apart3) ).
cnf(6,axiom,
( ~ convergent_lines(X,Y)
| convergent_lines(X,Z)
| convergent_lines(Y,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ax6) ).
cnf(9,axiom,
( ~ convergent_lines(X,Y)
| ~ apart_point_and_line(intersection_point(X,Y),X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ci3) ).
cnf(10,axiom,
( ~ convergent_lines(X,Y)
| ~ apart_point_and_line(intersection_point(X,Y),Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ci4) ).
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/GEO006+0.ax',cu1) ).
cnf(12,axiom,
( ~ apart_point_and_line(X,Y)
| distinct_points(X,Z)
| apart_point_and_line(Z,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ceq1) ).
cnf(14,axiom,
( ~ convergent_lines(X,Y)
| distinct_lines(Y,Z)
| convergent_lines(X,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ceq3) ).
cnf(40,axiom,
( ~ incident_point_and_line(X,Y)
| ~ apart_point_and_line(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+6.ax',a4) ).
cnf(41,axiom,
( incident_point_and_line(X,Y)
| apart_point_and_line(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+6.ax',a4) ).
cnf(44,negated_conjecture,
convergent_lines('SKOLEMAAAV1','SKOLEMAAAV2'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
cnf(47,negated_conjecture,
incident_point_and_line(intersection_point('SKOLEMAAAV1','SKOLEMAAAV2'),'SKOLEMAAAV3'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
cnf(48,negated_conjecture,
~ incident_point_and_line(intersection_point('SKOLEMAAAV2','SKOLEMAAAV1'),'SKOLEMAAAV3'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
cnf(60,plain,
~ apart_point_and_line(intersection_point('SKOLEMAAAV1','SKOLEMAAAV2'),'SKOLEMAAAV3'),
inference('UR-RESOLVE',[status(thm)],[40,47]) ).
cnf(61,plain,
apart_point_and_line(intersection_point('SKOLEMAAAV2','SKOLEMAAAV1'),'SKOLEMAAAV3'),
inference('HYPERRESOLVE',[status(thm)],[48,41]) ).
cnf(66,plain,
~ apart_point_and_line(intersection_point('SKOLEMAAAV1','SKOLEMAAAV2'),'SKOLEMAAAV1'),
inference('UR-RESOLVE',[status(thm)],[9,44]) ).
cnf(69,plain,
~ apart_point_and_line(intersection_point('SKOLEMAAAV1','SKOLEMAAAV2'),'SKOLEMAAAV2'),
inference('UR-RESOLVE',[status(thm)],[10,44]) ).
cnf(72,plain,
convergent_lines('SKOLEMAAAV2','SKOLEMAAAV1'),
inference('UR-RESOLVE',[status(thm)],[6,44,3]) ).
cnf(80,plain,
distinct_lines('SKOLEMAAAV2','SKOLEMAAAV1'),
inference('UR-RESOLVE',[status(thm)],[14,44,3]) ).
cnf(126,plain,
~ apart_point_and_line(intersection_point('SKOLEMAAAV2','SKOLEMAAAV1'),'SKOLEMAAAV1'),
inference('UR-RESOLVE',[status(thm)],[10,72]) ).
cnf(127,plain,
~ apart_point_and_line(intersection_point('SKOLEMAAAV2','SKOLEMAAAV1'),'SKOLEMAAAV2'),
inference('UR-RESOLVE',[status(thm)],[9,72]) ).
cnf(176,plain,
distinct_points(intersection_point('SKOLEMAAAV2','SKOLEMAAAV1'),intersection_point('SKOLEMAAAV1','SKOLEMAAAV2')),
inference('UR-RESOLVE',[status(thm)],[12,61,60]) ).
cnf(288,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[11,127,80,126,69,66]),176]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO199+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 18 18:12:44 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T18:12:44
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-06-18T18:12:44
% 0.39/0.57
% 0.39/0.57
% 0.39/0.57 #||
% 0.39/0.57 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.39/0.57 % SZS output start Refutation
% See solution above
% 0.39/0.57 ||#
% 0.39/0.57
% 0.39/0.57 ; Summary of computation:
% 0.39/0.57 ; 739 formulas have been input or derived (from 109 formulas).
% 0.39/0.57 ; 288 (39%) were retained. Of these,
% 0.39/0.57 ; 1 ( 0%) were simplified or subsumed later,
% 0.39/0.57 ; 287 (100%) are still being kept.
% 0.39/0.57 ;
% 0.39/0.57 ; Run time in seconds excluding printing time:
% 0.39/0.57 ; 0.011 10% Read assertion file (1 call)
% 0.39/0.57 ; 0.002 2% Assert (36 calls)
% 0.39/0.57 ; 0.021 19% Process new row (691 calls)
% 0.39/0.57 ; 0.025 23% Resolution (216 calls)
% 0.39/0.57 ; 0.000 0% Paramodulation (108 calls)
% 0.39/0.57 ; 0.000 0% Factoring (15 calls)
% 0.39/0.57 ; 0.000 0% Condensing (194 calls)
% 0.39/0.57 ; 0.005 5% Forward subsumption (194 calls)
% 0.39/0.57 ; 0.001 1% Backward subsumption (146 calls)
% 0.39/0.57 ; 0.001 1% Clause clause subsumption (640 calls)
% 0.39/0.57 ; 0.013 12% Forward simplification (691 calls)
% 0.39/0.57 ; 0.000 0% Backward simplification (288 calls)
% 0.39/0.57 ; 0.000 0% Ordering (339 calls)
% 0.39/0.57 ; 0.000 0% Sortal reasoning (32 calls)
% 0.39/0.57 ; 0.000 0% Purity testing (1 call)
% 0.39/0.57 ; 0.031 28% Other
% 0.39/0.57 ; 0.110 Total
% 0.39/0.57 ; 0.113 Real time
% 0.39/0.57 ;
% 0.39/0.57 ; Term-hash-array has 262 terms in all.
% 0.39/0.57 ; Feature-vector-row-index has 145 entries (145 at peak, 146 added, 1 deleted).
% 0.39/0.57 ; Feature-vector-row-index has 245 nodes (245 at peak, 245 added, 0 deleted).
% 0.39/0.57 ; Retrieved 563 possibly forward subsuming rows in 194 calls.
% 0.39/0.58 ; Retrieved 144 possibly backward subsumed rows in 146 calls.
% 0.39/0.58 ; Path-index has 265 entries (265 at peak, 265 added, 0 deleted).
% 0.39/0.58 ; Path-index has 404 nodes (404 at peak, 404 added, 0 deleted).
% 0.39/0.58 ; Trie-index has 265 entries (265 at peak, 265 added, 0 deleted).
% 0.39/0.58 ; Trie-index has 485 nodes (485 at peak, 485 added, 0 deleted).
% 0.39/0.58 ; Retrieved 1,336 generalization terms in 1,361 calls.
% 0.39/0.58 ; Retrieved 158 instance terms in 141 calls.
% 0.39/0.58 ; Retrieved 10,692 unifiable terms in 2,094 calls.
% 0.39/0.58 ;
% 0.39/0.58 ; The agenda of rows to process has 7 entries:
% 0.39/0.58 ; 7 with value 12
% 0.39/0.58 ; The agenda of rows to give has 178 entries:
% 0.39/0.58 ; 34 with value (4 9) 20 with value (4 12) 21 with value (4 18)
% 0.39/0.58 ; 11 with value (4 10) 23 with value (4 13) 3 with value (4 22)
% 0.39/0.58 ; 17 with value (4 11) 49 with value (4 14)
% 0.39/0.58 Evaluation took:
% 0.39/0.58 0.114 seconds of real time
% 0.39/0.58 0.094458 seconds of user run time
% 0.39/0.58 0.01917 seconds of system run time
% 0.39/0.58 0 calls to %EVAL
% 0.39/0.58 0 page faults and
% 0.39/0.58 6,227,536 bytes consed.
% 0.39/0.58 :PROOF-FOUND
% 0.39/0.58 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T18:12:44
% 0.39/0.58 :PROOF-FOUND
% 0.39/0.58 *
%------------------------------------------------------------------------------