TSTP Solution File: GEO202+2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO202+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n027.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 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 10
% Syntax : Number of clauses : 16 ( 11 unt; 1 nHn; 16 RR)
% Number of literals : 28 ( 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 : 16 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ distinct_points(X,X),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',apart1) ).
cnf(7,axiom,
( ~ distinct_points(X,Y)
| ~ apart_point_and_line(Z,line_connecting(X,Y))
| distinct_points(Z,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',con1) ).
cnf(9,axiom,
( ~ convergent_lines(X,Y)
| ~ apart_point_and_line(Z,X)
| distinct_points(Z,intersection_point(X,Y)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',con2) ).
cnf(10,axiom,
( ~ convergent_lines(X,Y)
| ~ apart_point_and_line(Z,Y)
| distinct_points(Z,intersection_point(X,Y)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',con2) ).
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/GEO008+0.ax',cu1) ).
cnf(14,axiom,
( ~ convergent_lines(X,Y)
| distinct_lines(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',ceq3) ).
cnf(15,negated_conjecture,
distinct_points('SKOLEMAAAV1','SKOLEMAAAV2'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
cnf(16,negated_conjecture,
distinct_points('SKOLEMAAAV1','SKOLEMAAAV3'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
cnf(17,negated_conjecture,
convergent_lines(line_connecting('SKOLEMAAAV1','SKOLEMAAAV2'),line_connecting('SKOLEMAAAV1','SKOLEMAAAV3')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
cnf(18,negated_conjecture,
distinct_points(intersection_point(line_connecting('SKOLEMAAAV1','SKOLEMAAAV2'),line_connecting('SKOLEMAAAV1','SKOLEMAAAV3')),'SKOLEMAAAV1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
cnf(19,plain,
distinct_lines(line_connecting('SKOLEMAAAV1','SKOLEMAAAV2'),line_connecting('SKOLEMAAAV1','SKOLEMAAAV3')),
inference('HYPERRESOLVE',[status(thm)],[14,17]) ).
cnf(28,plain,
~ apart_point_and_line('SKOLEMAAAV1',line_connecting('SKOLEMAAAV1','SKOLEMAAAV3')),
inference('UR-RESOLVE',[status(thm)],[7,16,1]) ).
cnf(29,plain,
~ apart_point_and_line('SKOLEMAAAV1',line_connecting('SKOLEMAAAV1','SKOLEMAAAV2')),
inference('UR-RESOLVE',[status(thm)],[7,15,1]) ).
cnf(34,plain,
~ apart_point_and_line(intersection_point(line_connecting('SKOLEMAAAV1','SKOLEMAAAV2'),line_connecting('SKOLEMAAAV1','SKOLEMAAAV3')),line_connecting('SKOLEMAAAV1','SKOLEMAAAV2')),
inference('UR-RESOLVE',[status(thm)],[9,17,1]) ).
cnf(35,plain,
~ apart_point_and_line(intersection_point(line_connecting('SKOLEMAAAV1','SKOLEMAAAV2'),line_connecting('SKOLEMAAAV1','SKOLEMAAAV3')),line_connecting('SKOLEMAAAV1','SKOLEMAAAV3')),
inference('UR-RESOLVE',[status(thm)],[10,17,1]) ).
cnf(50,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[11,19,18]),28,29,35,34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO202+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n027.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 00:48:07 EDT 2022
% 0.13/0.34 % 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 2022-06-18T00:48:07
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-06-18T00:48:07
% 0.20/0.51
% 0.20/0.51
% 0.20/0.51 #||
% 0.20/0.51 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.51 % SZS output start Refutation
% See solution above
% 0.20/0.51 ||#
% 0.20/0.51
% 0.20/0.51 ; Summary of computation:
% 0.20/0.51 ; 117 formulas have been input or derived (from 32 formulas).
% 0.20/0.51 ; 50 (43%) were retained. Of these,
% 0.20/0.51 ; 50 (100%) are still being kept.
% 0.20/0.51 ;
% 0.20/0.51 ; Run time in seconds excluding printing time:
% 0.20/0.51 ; 0.004 11% Read assertion file (1 call)
% 0.20/0.51 ; 0.001 3% Assert (13 calls)
% 0.20/0.51 ; 0.005 13% Process new row (100 calls)
% 0.20/0.51 ; 0.005 13% Resolution (62 calls)
% 0.20/0.51 ; 0.001 3% Paramodulation (31 calls)
% 0.20/0.51 ; 0.000 0% Factoring (2 calls)
% 0.20/0.51 ; 0.000 0% Condensing (20 calls)
% 0.20/0.51 ; 0.001 3% Forward subsumption (20 calls)
% 0.20/0.51 ; 0.000 0% Backward subsumption (18 calls)
% 0.20/0.51 ; 0.000 0% Clause clause subsumption (8 calls)
% 0.20/0.51 ; 0.000 0% Forward simplification (100 calls)
% 0.20/0.51 ; 0.000 0% Backward simplification (50 calls)
% 0.20/0.51 ; 0.000 0% Ordering (19 calls)
% 0.20/0.51 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.51 ; 0.000 0% Purity testing (1 call)
% 0.20/0.51 ; 0.021 55% Other
% 0.20/0.51 ; 0.038 Total
% 0.20/0.51 ; 0.041 Real time
% 0.20/0.51 ;
% 0.20/0.51 ; Term-hash-array has 70 terms in all.
% 0.20/0.51 ; Feature-vector-row-index has 18 entries (18 at peak, 18 added, 0 deleted).
% 0.20/0.51 ; Feature-vector-row-index has 59 nodes (59 at peak, 59 added, 0 deleted).
% 0.20/0.51 ; Retrieved 6 possibly forward subsuming rows in 20 calls.
% 0.20/0.51 ; Retrieved 2 possibly backward subsumed rows in 18 calls.
% 0.20/0.51 ; Path-index has 73 entries (73 at peak, 73 added, 0 deleted).
% 0.20/0.51 ; Path-index has 167 nodes (167 at peak, 167 added, 0 deleted).
% 0.20/0.51 ; Trie-index has 73 entries (73 at peak, 73 added, 0 deleted).
% 0.20/0.51 ; Trie-index has 163 nodes (163 at peak, 163 added, 0 deleted).
% 0.20/0.51 ; Retrieved 125 generalization terms in 142 calls.
% 0.20/0.51 ; Retrieved 31 instance terms in 31 calls.
% 0.20/0.51 ; Retrieved 2,581 unifiable terms in 586 calls.
% 0.20/0.51 ;
% 0.20/0.51 ; The agenda of rows to give has 18 entries:
% 0.20/0.51 ; 2 with value (4 9) 1 with value (4 13) 2 with value (4 16)
% 0.20/0.51 ; 1 with value (4 10) 2 with value (4 14) 1 with value (4 17)
% 0.20/0.51 ; 1 with value (4 11) 3 with value (4 15) 1 with value (4 22)
% 0.20/0.51 ; 4 with value (4 12)
% 0.20/0.51 Evaluation took:
% 0.20/0.51 0.041 seconds of real time
% 0.20/0.51 0.038795 seconds of user run time
% 0.20/0.51 0.002215 seconds of system run time
% 0.20/0.51 0 calls to %EVAL
% 0.20/0.51 0 page faults and
% 0.20/0.51 2,955,896 bytes consed.
% 0.20/0.51 :PROOF-FOUND
% 0.20/0.51 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T00:48:07
% 0.20/0.51 :PROOF-FOUND
% 0.20/0.51 *
%------------------------------------------------------------------------------