TSTP Solution File: GEO191+3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO191+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n021.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 0.37s 0.57s
% Output : Refutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 16
% Syntax : Number of clauses : 26 ( 16 unt; 7 nHn; 20 RR)
% Number of literals : 45 ( 0 equ; 23 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 : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 36 ( 7 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(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(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(46,negated_conjecture,
( apart_point_and_line(intersection_point('SKOLEMAAAV1','SKOLEMAAAV2'),'SKOLEMAAAV3')
| apart_point_and_line(intersection_point('SKOLEMAAAV1','SKOLEMAAAV2'),'SKOLEMAAAV4') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
cnf(47,negated_conjecture,
~ apart_point_and_line(intersection_point('SKOLEMAAAV3','SKOLEMAAAV4'),'SKOLEMAAAV1'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
cnf(48,negated_conjecture,
~ apart_point_and_line(intersection_point('SKOLEMAAAV3','SKOLEMAAAV4'),'SKOLEMAAAV2'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
cnf(49,plain,
~ distinct_lines(parallel_through_point(X,Y),X),
inference('UR-RESOLVE',[status(thm)],[15,16]) ).
cnf(65,plain,
~ apart_point_and_line(intersection_point('SKOLEMAAAV1','SKOLEMAAAV2'),'SKOLEMAAAV1'),
inference('UR-RESOLVE',[status(thm)],[9,44]) ).
cnf(67,plain,
~ apart_point_and_line(intersection_point('SKOLEMAAAV1','SKOLEMAAAV2'),'SKOLEMAAAV2'),
inference('UR-RESOLVE',[status(thm)],[10,44]) ).
cnf(75,plain,
distinct_lines('SKOLEMAAAV2','SKOLEMAAAV1'),
inference('UR-RESOLVE',[status(thm)],[14,44,3]) ).
cnf(85,plain,
( apart_point_and_line(intersection_point('SKOLEMAAAV1','SKOLEMAAAV2'),'SKOLEMAAAV3')
| distinct_points(intersection_point('SKOLEMAAAV1','SKOLEMAAAV2'),X)
| apart_point_and_line(X,'SKOLEMAAAV4') ),
inference('HYPERRESOLVE',[status(thm)],[12,46]) ).
cnf(130,plain,
~ distinct_lines(X,parallel_through_point(X,Y)),
inference('UR-RESOLVE',[status(thm)],[5,49,2]) ).
cnf(156,plain,
~ distinct_points(intersection_point('SKOLEMAAAV1','SKOLEMAAAV2'),intersection_point('SKOLEMAAAV3','SKOLEMAAAV4')),
inference('UR-RESOLVE',[status(thm)],[11,67,75,65,48,47]) ).
cnf(225,plain,
~ apart_point_and_line(X,Y),
inference('UR-RESOLVE',[status(thm)],[13,130,17]) ).
cnf(233,plain,
distinct_points(intersection_point('SKOLEMAAAV1','SKOLEMAAAV2'),X),
inference('REWRITE',[status(thm)],[85,225]) ).
cnf(234,plain,
$false,
inference('REWRITE',[status(thm)],[156,233]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO191+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n021.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 05:59:46 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 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 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T05:59:46
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-18T05:59:46
% 0.37/0.57
% 0.37/0.57
% 0.37/0.57 #||
% 0.37/0.57 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/0.57 % SZS output start Refutation
% See solution above
% 0.37/0.57 ||#
% 0.37/0.57
% 0.37/0.57 ; Summary of computation:
% 0.37/0.57 ; 567 formulas have been input or derived (from 97 formulas).
% 0.37/0.57 ; 234 (41%) were retained. Of these,
% 0.37/0.57 ; 69 (29%) were simplified or subsumed later,
% 0.37/0.57 ; 165 (71%) are still being kept.
% 0.37/0.57 ;
% 0.37/0.57 ; Run time in seconds excluding printing time:
% 0.37/0.57 ; 0.011 11% Read assertion file (1 call)
% 0.37/0.57 ; 0.001 1% Assert (36 calls)
% 0.37/0.57 ; 0.016 16% Process new row (514 calls)
% 0.37/0.58 ; 0.015 15% Resolution (192 calls)
% 0.37/0.58 ; 0.001 1% Paramodulation (96 calls)
% 0.37/0.58 ; 0.000 0% Factoring (13 calls)
% 0.37/0.58 ; 0.000 0% Condensing (147 calls)
% 0.37/0.58 ; 0.008 8% Forward subsumption (147 calls)
% 0.37/0.58 ; 0.005 5% Backward subsumption (117 calls)
% 0.37/0.58 ; 0.002 2% Clause clause subsumption (515 calls)
% 0.37/0.58 ; 0.004 4% Forward simplification (514 calls)
% 0.37/0.58 ; 0.006 6% Backward simplification (234 calls)
% 0.37/0.58 ; 0.000 0% Ordering (239 calls)
% 0.37/0.58 ; 0.001 1% Sortal reasoning (32 calls)
% 0.37/0.58 ; 0.001 1% Purity testing (1 call)
% 0.37/0.58 ; 0.026 27% Other
% 0.37/0.58 ; 0.097 Total
% 0.37/0.58 ; 0.100 Real time
% 0.37/0.58 ;
% 0.37/0.58 ; Term-hash-array has 239 terms in all.
% 0.37/0.58 ; Feature-vector-row-index has 90 entries (111 at peak, 117 added, 27 deleted).
% 0.37/0.58 ; Feature-vector-row-index has 143 nodes (231 at peak, 232 added, 89 deleted).
% 0.37/0.58 ; Retrieved 379 possibly forward subsuming rows in 147 calls.
% 0.37/0.58 ; Retrieved 157 possibly backward subsumed rows in 117 calls.
% 0.37/0.58 ; Path-index has 169 entries (243 at peak, 246 added, 77 deleted).
% 0.37/0.58 ; Path-index has 367 nodes (417 at peak, 418 added, 51 deleted).
% 0.37/0.58 ; Trie-index has 169 entries (243 at peak, 246 added, 77 deleted).
% 0.37/0.58 ; Trie-index has 342 nodes (458 at peak, 460 added, 118 deleted).
% 0.37/0.58 ; Retrieved 913 generalization terms in 942 calls.
% 0.37/0.58 ; Retrieved 190 instance terms in 116 calls.
% 0.37/0.58 ; Retrieved 8,162 unifiable terms in 1,546 calls.
% 0.37/0.58 ;
% 0.37/0.58 ; The agenda of backward simplifiable rows to process has 2 entries:
% 0.37/0.58 ; 2 with value 0
% 0.37/0.58 ; The agenda of rows to process has 25 entries:
% 0.37/0.58 ; 1 with value 7 1 with value 12 3 with value 13
% 0.37/0.58 ; 20 with value 10
% 0.37/0.58 ; The agenda of input rows to give has 3 entries:
% 0.37/0.58 ; 1 with value 4 1 with value 8 1 with value 12
% 0.37/0.58 ; The agenda of rows to give has 94 entries:
% 0.37/0.58 ; 1 with value (4 5) 5 with value (4 10) 14 with value (4 13)
% 0.37/0.58 ; 1 with value (4 7) 4 with value (4 11) 20 with value (4 14)
% 0.37/0.58 ; 1 with value (4 8) 11 with value (4 12) 20 with value (4 18)
% 0.37/0.58 ; 17 with value (4 9)
% 0.37/0.58 Evaluation took:
% 0.37/0.58 0.1 seconds of real time
% 0.37/0.58 0.086243 seconds of user run time
% 0.37/0.58 0.014114 seconds of system run time
% 0.37/0.58 0 calls to %EVAL
% 0.37/0.58 0 page faults and
% 0.37/0.58 5,989,976 bytes consed.
% 0.37/0.58 :PROOF-FOUND
% 0.37/0.58 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T05:59:47
% 0.37/0.58 :PROOF-FOUND
% 0.37/0.58 *
%------------------------------------------------------------------------------