TSTP Solution File: GEO202+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO202+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n032.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 06:14:52 EDT 2022
% Result : Theorem 0.13s 0.39s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 10
% Syntax : Number of clauses : 16 ( 11 unt; 2 nHn; 15 RR)
% Number of literals : 26 ( 0 equ; 14 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 3 ( 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 : 14 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
~ convergent_lines(X,X),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',apart3) ).
cnf(7,axiom,
( ~ distinct_points(X,Y)
| ~ apart_point_and_line(X,line_connecting(X,Y)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ci1) ).
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(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(15,negated_conjecture,
distinct_points('SKOLEMAAAN1','SKOLEMAAAN2'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
cnf(16,negated_conjecture,
distinct_points('SKOLEMAAAN1','SKOLEMAAAN3'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
cnf(17,negated_conjecture,
convergent_lines(line_connecting('SKOLEMAAAN1','SKOLEMAAAN2'),line_connecting('SKOLEMAAAN1','SKOLEMAAAN3')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
cnf(18,negated_conjecture,
distinct_points(intersection_point(line_connecting('SKOLEMAAAN1','SKOLEMAAAN2'),line_connecting('SKOLEMAAAN1','SKOLEMAAAN3')),'SKOLEMAAAN1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
cnf(19,plain,
~ apart_point_and_line('SKOLEMAAAN1',line_connecting('SKOLEMAAAN1','SKOLEMAAAN3')),
inference('UR-RESOLVE',[status(thm)],[7,16]) ).
cnf(20,plain,
~ apart_point_and_line('SKOLEMAAAN1',line_connecting('SKOLEMAAAN1','SKOLEMAAAN2')),
inference('UR-RESOLVE',[status(thm)],[7,15]) ).
cnf(23,plain,
~ apart_point_and_line(intersection_point(line_connecting('SKOLEMAAAN1','SKOLEMAAAN2'),line_connecting('SKOLEMAAAN1','SKOLEMAAAN3')),line_connecting('SKOLEMAAAN1','SKOLEMAAAN2')),
inference('UR-RESOLVE',[status(thm)],[9,17]) ).
cnf(24,plain,
~ apart_point_and_line(intersection_point(line_connecting('SKOLEMAAAN1','SKOLEMAAAN2'),line_connecting('SKOLEMAAAN1','SKOLEMAAAN3')),line_connecting('SKOLEMAAAN1','SKOLEMAAAN3')),
inference('UR-RESOLVE',[status(thm)],[10,17]) ).
cnf(31,plain,
distinct_lines(line_connecting('SKOLEMAAAN1','SKOLEMAAAN3'),line_connecting('SKOLEMAAAN1','SKOLEMAAAN2')),
inference('UR-RESOLVE',[status(thm)],[14,17,3]) ).
cnf(54,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[11,31,18]),20,19,23,24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : GEO202+1 : TPTP v8.1.0. Released v3.3.0.
% 0.00/0.09 % Command : run-snark %s %d
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 600
% 0.09/0.28 % DateTime : Fri Jun 17 21:02:16 EDT 2022
% 0.09/0.28 % CPUTime :
% 0.13/0.35 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36 *
% 0.13/0.36 *
% 0.13/0.36 #<PACKAGE "SNARK-USER">
% 0.13/0.36 *
% 0.13/0.36 SNARK-TPTP-OPTIONS
% 0.13/0.36 *
% 0.13/0.36 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.13/0.36 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.13/0.36 (USE-FACTORING :POS)
% 0.13/0.36 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.13/0.36 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.13/0.36 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.13/0.36 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.13/0.36 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.13/0.36 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.13/0.36 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.13/0.36 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.13/0.36 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.13/0.36 (DECLARE-TPTP-SYMBOLS2))
% 0.13/0.36 *
% 0.13/0.36 "."
% 0.13/0.36 *
% 0.13/0.36 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-17T21:02:16
% 0.13/0.36 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n032.cluster.edu at 2022-06-17T21:02:16
% 0.13/0.39
% 0.13/0.39
% 0.13/0.39 #||
% 0.13/0.39 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.39 % SZS output start Refutation
% See solution above
% 0.13/0.39 ||#
% 0.13/0.39
% 0.13/0.39 ; Summary of computation:
% 0.13/0.39 ; 126 formulas have been input or derived (from 33 formulas).
% 0.13/0.39 ; 54 (43%) were retained. Of these,
% 0.13/0.39 ; 54 (100%) are still being kept.
% 0.13/0.39 ;
% 0.13/0.39 ; Run time in seconds excluding printing time:
% 0.13/0.39 ; 0.002 8% Read assertion file (1 call)
% 0.13/0.39 ; 0.001 4% Assert (15 calls)
% 0.13/0.39 ; 0.003 12% Process new row (109 calls)
% 0.13/0.39 ; 0.001 4% Resolution (64 calls)
% 0.13/0.39 ; 0.000 0% Paramodulation (32 calls)
% 0.13/0.39 ; 0.000 0% Factoring (2 calls)
% 0.13/0.39 ; 0.000 0% Condensing (23 calls)
% 0.13/0.39 ; 0.002 8% Forward subsumption (23 calls)
% 0.13/0.39 ; 0.000 0% Backward subsumption (20 calls)
% 0.13/0.39 ; 0.000 0% Clause clause subsumption (11 calls)
% 0.13/0.39 ; 0.000 0% Forward simplification (109 calls)
% 0.13/0.39 ; 0.000 0% Backward simplification (54 calls)
% 0.13/0.39 ; 0.000 0% Ordering (20 calls)
% 0.13/0.39 ; 0.000 0% Sortal reasoning (32 calls)
% 0.13/0.39 ; 0.000 0% Purity testing (1 call)
% 0.13/0.39 ; 0.015 62% Other
% 0.13/0.39 ; 0.024 Total
% 0.13/0.39 ; 0.026 Real time
% 0.13/0.39 ;
% 0.13/0.39 ; Term-hash-array has 72 terms in all.
% 0.13/0.39 ; Feature-vector-row-index has 20 entries (20 at peak, 20 added, 0 deleted).
% 0.13/0.39 ; Feature-vector-row-index has 68 nodes (68 at peak, 68 added, 0 deleted).
% 0.13/0.39 ; Retrieved 8 possibly forward subsuming rows in 23 calls.
% 0.13/0.39 ; Retrieved 3 possibly backward subsumed rows in 20 calls.
% 0.13/0.39 ; Path-index has 75 entries (75 at peak, 75 added, 0 deleted).
% 0.13/0.39 ; Path-index has 171 nodes (171 at peak, 171 added, 0 deleted).
% 0.13/0.39 ; Trie-index has 75 entries (75 at peak, 75 added, 0 deleted).
% 0.13/0.39 ; Trie-index has 175 nodes (175 at peak, 175 added, 0 deleted).
% 0.13/0.39 ; Retrieved 132 generalization terms in 151 calls.
% 0.13/0.39 ; Retrieved 33 instance terms in 33 calls.
% 0.13/0.39 ; Retrieved 2,246 unifiable terms in 597 calls.
% 0.13/0.39 ;
% 0.13/0.39 ; The agenda of rows to give has 21 entries:
% 0.13/0.39 ; 2 with value (4 9) 1 with value (4 13) 5 with value (4 16)
% 0.13/0.39 ; 1 with value (4 11) 2 with value (4 14) 1 with value (4 17)
% 0.13/0.39 ; 4 with value (4 12) 4 with value (4 15) 1 with value (4 22)
% 0.13/0.39 Evaluation took:
% 0.13/0.39 0.026 seconds of real time
% 0.13/0.39 0.019043 seconds of user run time
% 0.13/0.39 0.00665 seconds of system run time
% 0.13/0.39 0 calls to %EVAL
% 0.13/0.39 0 page faults and
% 0.13/0.39 2,956,240 bytes consed.
% 0.13/0.39 :PROOF-FOUND
% 0.13/0.39 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-17T21:02:16
% 0.13/0.39 :PROOF-FOUND
% 0.13/0.39 *
%------------------------------------------------------------------------------