TSTP Solution File: GEO198+3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO198+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n017.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 06:14:49 EDT 2022
% Result : Theorem 0.20s 0.55s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 12
% Syntax : Number of clauses : 21 ( 14 unt; 4 nHn; 18 RR)
% Number of literals : 34 ( 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 : 19 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
~ convergent_lines(X,X),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',apart3) ).
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(10,axiom,
( ~ convergent_lines(X,Y)
| ~ apart_point_and_line(intersection_point(X,Y),Y) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/GEO006+0.ax',ceq1) ).
cnf(14,axiom,
( ~ convergent_lines(X,Y)
| distinct_lines(Y,Z)
| convergent_lines(X,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ceq3) ).
cnf(40,axiom,
( ~ incident_point_and_line(X,Y)
| ~ apart_point_and_line(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+6.ax',a4) ).
cnf(41,axiom,
( incident_point_and_line(X,Y)
| apart_point_and_line(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+6.ax',a4) ).
cnf(44,negated_conjecture,
convergent_lines('SKOLEMAAAV1','SKOLEMAAAV2'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
cnf(46,negated_conjecture,
convergent_lines('SKOLEMAAAV1','SKOLEMAAAV3'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
cnf(47,negated_conjecture,
incident_point_and_line(intersection_point('SKOLEMAAAV1','SKOLEMAAAV2'),'SKOLEMAAAV3'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
cnf(48,negated_conjecture,
~ incident_point_and_line(intersection_point('SKOLEMAAAV1','SKOLEMAAAV3'),'SKOLEMAAAV2'),
file('/export/starexec/sandbox/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('SKOLEMAAAV1','SKOLEMAAAV3'),'SKOLEMAAAV2'),
inference('HYPERRESOLVE',[status(thm)],[48,41]) ).
cnf(65,plain,
~ apart_point_and_line(intersection_point('SKOLEMAAAV1','SKOLEMAAAV3'),'SKOLEMAAAV1'),
inference('UR-RESOLVE',[status(thm)],[9,46]) ).
cnf(66,plain,
~ apart_point_and_line(intersection_point('SKOLEMAAAV1','SKOLEMAAAV2'),'SKOLEMAAAV1'),
inference('UR-RESOLVE',[status(thm)],[9,44]) ).
cnf(68,plain,
~ apart_point_and_line(intersection_point('SKOLEMAAAV1','SKOLEMAAAV3'),'SKOLEMAAAV3'),
inference('UR-RESOLVE',[status(thm)],[10,46]) ).
cnf(69,plain,
~ apart_point_and_line(intersection_point('SKOLEMAAAV1','SKOLEMAAAV2'),'SKOLEMAAAV2'),
inference('UR-RESOLVE',[status(thm)],[10,44]) ).
cnf(79,plain,
distinct_lines('SKOLEMAAAV3','SKOLEMAAAV1'),
inference('UR-RESOLVE',[status(thm)],[14,46,3]) ).
cnf(188,plain,
~ distinct_points(intersection_point('SKOLEMAAAV1','SKOLEMAAAV3'),intersection_point('SKOLEMAAAV1','SKOLEMAAAV2')),
inference('UR-RESOLVE',[status(thm)],[11,68,79,65,60,66]) ).
cnf(192,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[12,69,61]),188]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO198+3 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n017.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 00:56:12 EDT 2022
% 0.19/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 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 2022-06-18T00:56:12
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-06-18T00:56:12
% 0.20/0.55
% 0.20/0.55
% 0.20/0.55 #||
% 0.20/0.55 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.55 % SZS output start Refutation
% See solution above
% 0.20/0.55 ||#
% 0.20/0.55
% 0.20/0.55 ; Summary of computation:
% 0.20/0.55 ; 413 formulas have been input or derived (from 88 formulas).
% 0.20/0.55 ; 192 (46%) were retained. Of these,
% 0.20/0.55 ; 1 ( 1%) were simplified or subsumed later,
% 0.20/0.55 ; 191 (99%) are still being kept.
% 0.20/0.55 ;
% 0.20/0.55 ; Run time in seconds excluding printing time:
% 0.20/0.55 ; 0.011 14% Read assertion file (1 call)
% 0.20/0.55 ; 0.002 3% Assert (36 calls)
% 0.20/0.55 ; 0.016 21% Process new row (386 calls)
% 0.20/0.55 ; 0.010 13% Resolution (174 calls)
% 0.20/0.55 ; 0.000 0% Paramodulation (87 calls)
% 0.20/0.55 ; 0.000 0% Factoring (6 calls)
% 0.20/0.55 ; 0.001 1% Condensing (110 calls)
% 0.20/0.55 ; 0.004 5% Forward subsumption (110 calls)
% 0.20/0.55 ; 0.004 5% Backward subsumption (95 calls)
% 0.20/0.55 ; 0.000 0% Clause clause subsumption (295 calls)
% 0.20/0.55 ; 0.006 8% Forward simplification (386 calls)
% 0.20/0.55 ; 0.001 1% Backward simplification (192 calls)
% 0.20/0.55 ; 0.000 0% Ordering (151 calls)
% 0.20/0.55 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.55 ; 0.000 0% Purity testing (1 call)
% 0.20/0.55 ; 0.023 29% Other
% 0.20/0.55 ; 0.078 Total
% 0.20/0.55 ; 0.081 Real time
% 0.20/0.55 ;
% 0.20/0.55 ; Term-hash-array has 195 terms in all.
% 0.20/0.55 ; Feature-vector-row-index has 94 entries (94 at peak, 95 added, 1 deleted).
% 0.20/0.55 ; Feature-vector-row-index has 146 nodes (146 at peak, 146 added, 0 deleted).
% 0.20/0.55 ; Retrieved 201 possibly forward subsuming rows in 110 calls.
% 0.20/0.55 ; Retrieved 108 possibly backward subsumed rows in 95 calls.
% 0.20/0.55 ; Path-index has 198 entries (198 at peak, 198 added, 0 deleted).
% 0.20/0.55 ; Path-index has 358 nodes (358 at peak, 358 added, 0 deleted).
% 0.20/0.55 ; Trie-index has 198 entries (198 at peak, 198 added, 0 deleted).
% 0.20/0.55 ; Trie-index has 369 nodes (369 at peak, 369 added, 0 deleted).
% 0.20/0.55 ; Retrieved 572 generalization terms in 625 calls.
% 0.20/0.55 ; Retrieved 113 instance terms in 96 calls.
% 0.20/0.55 ; Retrieved 6,187 unifiable terms in 1,249 calls.
% 0.20/0.55 ;
% 0.20/0.55 ; The agenda of rows to process has 1 entry:
% 0.20/0.55 ; 1 with value 12
% 0.20/0.55 ; The agenda of rows to give has 103 entries:
% 0.20/0.55 ; 8 with value (4 8) 10 with value (4 11) 19 with value (4 14)
% 0.20/0.55 ; 26 with value (4 9) 7 with value (4 12) 3 with value (4 18)
% 0.20/0.55 ; 7 with value (4 10) 23 with value (4 13)
% 0.20/0.55 Evaluation took:
% 0.20/0.55 0.081 seconds of real time
% 0.20/0.55 0.0672 seconds of user run time
% 0.20/0.55 0.014036 seconds of system run time
% 0.20/0.55 0 calls to %EVAL
% 0.20/0.55 0 page faults and
% 0.20/0.55 4,683,816 bytes consed.
% 0.20/0.55 :PROOF-FOUND
% 0.20/0.55 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T00:56:12
% 0.20/0.55 :PROOF-FOUND
% 0.20/0.55 *
%------------------------------------------------------------------------------