TSTP Solution File: GEO203+3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO203+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n011.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 06:14:53 EDT 2022
% Result : Theorem 0.19s 0.57s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 14
% Syntax : Number of clauses : 22 ( 15 unt; 4 nHn; 19 RR)
% Number of literals : 36 ( 0 equ; 19 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; 3 con; 0-2 aty)
% Number of variables : 29 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
~ distinct_lines(X,X),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',apart2) ).
cnf(3,axiom,
~ convergent_lines(X,X),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',apart3) ).
cnf(5,axiom,
( ~ distinct_lines(X,Y)
| distinct_lines(X,Z)
| distinct_lines(Y,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',apart5) ).
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(13,axiom,
( ~ apart_point_and_line(X,Y)
| distinct_lines(Y,Z)
| apart_point_and_line(X,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ceq2) ).
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(15,axiom,
( ~ distinct_lines(X,Y)
| convergent_lines(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+1.ax',p1) ).
cnf(16,axiom,
~ convergent_lines(parallel_through_point(X,Y),X),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+2.ax',cp1) ).
cnf(17,axiom,
~ apart_point_and_line(X,parallel_through_point(Y,X)),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+2.ax',cp2) ).
cnf(44,negated_conjecture,
convergent_lines('SKOLEMAAAV1','SKOLEMAAAV2'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
cnf(45,negated_conjecture,
convergent_lines('SKOLEMAAAV1','SKOLEMAAAV3'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
cnf(46,negated_conjecture,
distinct_points(intersection_point('SKOLEMAAAV1','SKOLEMAAAV2'),intersection_point('SKOLEMAAAV1','SKOLEMAAAV3')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
cnf(48,plain,
~ distinct_lines(parallel_through_point(X,Y),X),
inference('UR-RESOLVE',[status(thm)],[15,16]) ).
cnf(64,plain,
~ apart_point_and_line(intersection_point('SKOLEMAAAV1','SKOLEMAAAV3'),'SKOLEMAAAV1'),
inference('UR-RESOLVE',[status(thm)],[9,45]) ).
cnf(65,plain,
~ apart_point_and_line(intersection_point('SKOLEMAAAV1','SKOLEMAAAV2'),'SKOLEMAAAV1'),
inference('UR-RESOLVE',[status(thm)],[9,44]) ).
cnf(66,plain,
~ apart_point_and_line(intersection_point('SKOLEMAAAV1','SKOLEMAAAV3'),'SKOLEMAAAV3'),
inference('UR-RESOLVE',[status(thm)],[10,45]) ).
cnf(76,plain,
distinct_lines('SKOLEMAAAV3','SKOLEMAAAV1'),
inference('UR-RESOLVE',[status(thm)],[14,45,3]) ).
cnf(125,plain,
apart_point_and_line(intersection_point('SKOLEMAAAV1','SKOLEMAAAV2'),'SKOLEMAAAV3'),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[11,76,46]),64,66,65]) ).
cnf(133,plain,
~ distinct_lines(X,parallel_through_point(X,Y)),
inference('UR-RESOLVE',[status(thm)],[5,48,2]) ).
cnf(253,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[13,133,125,17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO203+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n011.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Fri Jun 17 18:38:52 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-06-17T18:38:52
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-06-17T18:38:52
% 0.19/0.57
% 0.19/0.57
% 0.19/0.57 #||
% 0.19/0.57 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.57 % SZS output start Refutation
% See solution above
% 0.19/0.57 ||#
% 0.19/0.57
% 0.19/0.57 ; Summary of computation:
% 0.19/0.57 ; 638 formulas have been input or derived (from 100 formulas).
% 0.19/0.57 ; 253 (40%) were retained. Of these,
% 0.19/0.57 ; 1 ( 0%) were simplified or subsumed later,
% 0.19/0.57 ; 252 (100%) are still being kept.
% 0.19/0.57 ;
% 0.19/0.57 ; Run time in seconds excluding printing time:
% 0.19/0.57 ; 0.011 11% Read assertion file (1 call)
% 0.19/0.57 ; 0.002 2% Assert (36 calls)
% 0.19/0.57 ; 0.018 19% Process new row (569 calls)
% 0.19/0.57 ; 0.018 19% Resolution (198 calls)
% 0.19/0.57 ; 0.000 0% Paramodulation (99 calls)
% 0.19/0.57 ; 0.000 0% Factoring (12 calls)
% 0.19/0.57 ; 0.006 6% Condensing (150 calls)
% 0.19/0.57 ; 0.001 1% Forward subsumption (150 calls)
% 0.19/0.57 ; 0.001 1% Backward subsumption (119 calls)
% 0.19/0.57 ; 0.001 1% Clause clause subsumption (403 calls)
% 0.19/0.57 ; 0.011 11% Forward simplification (569 calls)
% 0.19/0.57 ; 0.002 2% Backward simplification (253 calls)
% 0.19/0.57 ; 0.002 2% Ordering (227 calls)
% 0.19/0.57 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.57 ; 0.000 0% Purity testing (1 call)
% 0.19/0.57 ; 0.024 25% Other
% 0.19/0.57 ; 0.097 Total
% 0.19/0.57 ; 0.100 Real time
% 0.19/0.57 ;
% 0.19/0.57 ; Term-hash-array has 255 terms in all.
% 0.19/0.57 ; Feature-vector-row-index has 118 entries (118 at peak, 119 added, 1 deleted).
% 0.19/0.57 ; Feature-vector-row-index has 221 nodes (221 at peak, 221 added, 0 deleted).
% 0.19/0.57 ; Retrieved 322 possibly forward subsuming rows in 150 calls.
% 0.19/0.57 ; Retrieved 102 possibly backward subsumed rows in 119 calls.
% 0.19/0.57 ; Path-index has 258 entries (258 at peak, 258 added, 0 deleted).
% 0.19/0.57 ; Path-index has 465 nodes (465 at peak, 465 added, 0 deleted).
% 0.19/0.57 ; Trie-index has 258 entries (258 at peak, 258 added, 0 deleted).
% 0.19/0.57 ; Trie-index has 512 nodes (512 at peak, 512 added, 0 deleted).
% 0.19/0.57 ; Retrieved 1,024 generalization terms in 1,051 calls.
% 0.19/0.57 ; Retrieved 149 instance terms in 133 calls.
% 0.19/0.57 ; Retrieved 9,181 unifiable terms in 1,788 calls.
% 0.19/0.57 ;
% 0.19/0.57 ; The agenda of rows to process has 35 entries:
% 0.19/0.57 ; 4 with value 7 2 with value 11 3 with value 13
% 0.19/0.57 ; 20 with value 10 6 with value 12
% 0.19/0.57 ; The agenda of rows to give has 152 entries:
% 0.19/0.57 ; 25 with value (4 9) 23 with value (4 13) 14 with value (4 18)
% 0.19/0.57 ; 13 with value (4 10) 25 with value (4 14) 1 with value (4 20)
% 0.19/0.57 ; 7 with value (4 11) 3 with value (4 15) 2 with value (4 22)
% 0.19/0.57 ; 27 with value (4 12) 12 with value (4 17)
% 0.19/0.57 Evaluation took:
% 0.19/0.57 0.1 seconds of real time
% 0.19/0.57 0.085028 seconds of user run time
% 0.19/0.57 0.015224 seconds of system run time
% 0.19/0.57 0 calls to %EVAL
% 0.19/0.57 0 page faults and
% 0.19/0.57 5,588,936 bytes consed.
% 0.19/0.57 :PROOF-FOUND
% 0.19/0.57 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T18:38:52
% 0.19/0.57 :PROOF-FOUND
% 0.19/0.57 *
%------------------------------------------------------------------------------