TSTP Solution File: GEO200+2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO200+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 06:14:51 EDT 2022
% Result : Theorem 0.19s 0.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of clauses : 14 ( 9 unt; 3 nHn; 13 RR)
% Number of literals : 26 ( 0 equ; 11 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 14 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ distinct_points(X,X),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',apart1) ).
cnf(4,axiom,
( ~ distinct_points(X,Y)
| distinct_points(X,Z)
| distinct_points(Y,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',apart4) ).
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(8,axiom,
( ~ distinct_points(X,Y)
| ~ apart_point_and_line(Z,line_connecting(X,Y))
| distinct_points(Z,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',con1) ).
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(15,negated_conjecture,
distinct_points('SKOLEMAAAV1','SKOLEMAAAV2'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
cnf(16,negated_conjecture,
distinct_lines(line_connecting('SKOLEMAAAV1','SKOLEMAAAV2'),line_connecting('SKOLEMAAAV2','SKOLEMAAAV1')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
cnf(17,plain,
distinct_points('SKOLEMAAAV2','SKOLEMAAAV1'),
inference('UR-RESOLVE',[status(thm)],[4,15,1]) ).
cnf(21,plain,
~ apart_point_and_line('SKOLEMAAAV1',line_connecting('SKOLEMAAAV1','SKOLEMAAAV2')),
inference('UR-RESOLVE',[status(thm)],[7,15,1]) ).
cnf(22,plain,
~ apart_point_and_line('SKOLEMAAAV2',line_connecting('SKOLEMAAAV1','SKOLEMAAAV2')),
inference('UR-RESOLVE',[status(thm)],[8,15,1]) ).
cnf(23,plain,
( apart_point_and_line('SKOLEMAAAV1',line_connecting('SKOLEMAAAV2','SKOLEMAAAV1'))
| apart_point_and_line('SKOLEMAAAV2',line_connecting('SKOLEMAAAV2','SKOLEMAAAV1')) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[11,15,16]),22,21]) ).
cnf(24,plain,
~ apart_point_and_line('SKOLEMAAAV1',line_connecting('SKOLEMAAAV2','SKOLEMAAAV1')),
inference('UR-RESOLVE',[status(thm)],[8,17,1]) ).
cnf(25,plain,
apart_point_and_line('SKOLEMAAAV2',line_connecting('SKOLEMAAAV2','SKOLEMAAAV1')),
inference('REWRITE',[status(thm)],[23,24]) ).
cnf(26,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[7,17,1]),25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO200+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 18 09:03:39 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T09:03:39
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-18T09:03:39
% 0.19/0.49
% 0.19/0.49
% 0.19/0.49 #||
% 0.19/0.49 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.49 % SZS output start Refutation
% See solution above
% 0.19/0.49 ||#
% 0.19/0.49
% 0.19/0.49 ; Summary of computation:
% 0.19/0.49 ; 36 formulas have been input or derived (from 18 formulas).
% 0.19/0.49 ; 26 (72%) were retained. Of these,
% 0.19/0.49 ; 1 ( 4%) were simplified or subsumed later,
% 0.19/0.49 ; 25 (96%) are still being kept.
% 0.19/0.49 ;
% 0.19/0.49 ; Run time in seconds excluding printing time:
% 0.19/0.50 ; 0.003 9% Read assertion file (1 call)
% 0.19/0.50 ; 0.001 3% Assert (13 calls)
% 0.19/0.50 ; 0.001 3% Process new row (34 calls)
% 0.19/0.50 ; 0.000 0% Resolution (34 calls)
% 0.19/0.50 ; 0.000 0% Paramodulation (17 calls)
% 0.19/0.50 ; 0.000 0% Condensing (14 calls)
% 0.19/0.50 ; 0.000 0% Forward subsumption (14 calls)
% 0.19/0.50 ; 0.000 0% Backward subsumption (14 calls)
% 0.19/0.50 ; 0.000 0% Clause clause subsumption (4 calls)
% 0.19/0.50 ; 0.001 3% Forward simplification (34 calls)
% 0.19/0.50 ; 0.002 6% Backward simplification (26 calls)
% 0.19/0.50 ; 0.000 0% Ordering (6 calls)
% 0.19/0.50 ; 0.001 3% Sortal reasoning (32 calls)
% 0.19/0.50 ; 0.000 0% Purity testing (1 call)
% 0.19/0.50 ; 0.023 72% Other
% 0.19/0.50 ; 0.032 Total
% 0.19/0.50 ; 0.034 Real time
% 0.19/0.50 ;
% 0.19/0.50 ; Term-hash-array has 40 terms in all.
% 0.19/0.50 ; Feature-vector-row-index has 13 entries (14 at peak, 14 added, 1 deleted).
% 0.19/0.50 ; Feature-vector-row-index has 33 nodes (43 at peak, 43 added, 10 deleted).
% 0.19/0.50 ; Retrieved 2 possibly forward subsuming rows in 14 calls.
% 0.19/0.50 ; Retrieved 2 possibly backward subsumed rows in 14 calls.
% 0.19/0.50 ; Path-index has 42 entries (42 at peak, 43 added, 1 deleted).
% 0.19/0.50 ; Path-index has 71 nodes (71 at peak, 71 added, 0 deleted).
% 0.19/0.50 ; Trie-index has 42 entries (42 at peak, 43 added, 1 deleted).
% 0.19/0.50 ; Trie-index has 62 nodes (62 at peak, 64 added, 2 deleted).
% 0.19/0.50 ; Retrieved 42 generalization terms in 47 calls.
% 0.19/0.50 ; Retrieved 11 instance terms in 11 calls.
% 0.19/0.50 ; Retrieved 363 unifiable terms in 98 calls.
% 0.19/0.50 ;
% 0.19/0.50 ; The agenda of rows to process has 2 entries:
% 0.19/0.50 ; 1 with value 10 1 with value 30
% 0.19/0.50 ; The agenda of rows to give has 7 entries:
% 0.19/0.50 ; 3 with value (4 8) 1 with value (4 10) 1 with value (4 15)
% 0.19/0.50 ; 2 with value (4 9)
% 0.19/0.50 Evaluation took:
% 0.19/0.50 0.034 seconds of real time
% 0.19/0.50 0.029154 seconds of user run time
% 0.19/0.50 0.004827 seconds of system run time
% 0.19/0.50 0 calls to %EVAL
% 0.19/0.50 0 page faults and
% 0.19/0.50 2,444,032 bytes consed.
% 0.19/0.50 :PROOF-FOUND
% 0.19/0.50 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T09:03:39
% 0.19/0.50 :PROOF-FOUND
% 0.19/0.50 *
%------------------------------------------------------------------------------