TSTP Solution File: GEO187+2 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO187+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n008.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 06:14:40 EDT 2022
% Result : Theorem 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 11
% Syntax : Number of clauses : 20 ( 14 unt; 4 nHn; 18 RR)
% Number of literals : 34 ( 0 equ; 17 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 : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 17 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ distinct_points(X,X),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',apart1) ).
cnf(4,axiom,
( ~ distinct_points(X,Y)
| distinct_points(X,Z)
| distinct_points(Y,Z) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/GEO008+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/GEO008+0.ax',ceq2) ).
cnf(15,negated_conjecture,
distinct_points('SKOLEMAAAU1','SKOLEMAAAU2'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
cnf(16,negated_conjecture,
distinct_points('SKOLEMAAAU3','SKOLEMAAAU4'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
cnf(17,negated_conjecture,
~ apart_point_and_line('SKOLEMAAAU1',line_connecting('SKOLEMAAAU3','SKOLEMAAAU4')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
cnf(18,negated_conjecture,
~ apart_point_and_line('SKOLEMAAAU2',line_connecting('SKOLEMAAAU3','SKOLEMAAAU4')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
cnf(19,negated_conjecture,
( apart_point_and_line('SKOLEMAAAU3',line_connecting('SKOLEMAAAU1','SKOLEMAAAU2'))
| apart_point_and_line('SKOLEMAAAU4',line_connecting('SKOLEMAAAU1','SKOLEMAAAU2')) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
cnf(21,plain,
distinct_points('SKOLEMAAAU2','SKOLEMAAAU1'),
inference('UR-RESOLVE',[status(thm)],[4,15,1]) ).
cnf(26,plain,
~ apart_point_and_line('SKOLEMAAAU3',line_connecting('SKOLEMAAAU3','SKOLEMAAAU4')),
inference('UR-RESOLVE',[status(thm)],[7,16,1]) ).
cnf(27,plain,
~ apart_point_and_line('SKOLEMAAAU1',line_connecting('SKOLEMAAAU1','SKOLEMAAAU2')),
inference('UR-RESOLVE',[status(thm)],[7,15,1]) ).
cnf(29,plain,
~ apart_point_and_line('SKOLEMAAAU4',line_connecting('SKOLEMAAAU3','SKOLEMAAAU4')),
inference('UR-RESOLVE',[status(thm)],[8,16,1]) ).
cnf(30,plain,
~ apart_point_and_line('SKOLEMAAAU2',line_connecting('SKOLEMAAAU1','SKOLEMAAAU2')),
inference('UR-RESOLVE',[status(thm)],[8,15,1]) ).
cnf(36,plain,
~ distinct_lines(line_connecting('SKOLEMAAAU1','SKOLEMAAAU2'),line_connecting('SKOLEMAAAU3','SKOLEMAAAU4')),
inference('UR-RESOLVE',[status(thm)],[11,30,21,18,27,17]) ).
cnf(46,plain,
~ apart_point_and_line('SKOLEMAAAU3',line_connecting('SKOLEMAAAU1','SKOLEMAAAU2')),
inference('UR-RESOLVE',[status(thm)],[13,36,26]) ).
cnf(47,plain,
apart_point_and_line('SKOLEMAAAU4',line_connecting('SKOLEMAAAU1','SKOLEMAAAU2')),
inference('REWRITE',[status(thm)],[19,46]) ).
cnf(52,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[13,36,29]),47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO187+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n008.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 : Sat Jun 18 16:58:22 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-06-18T16:58:22
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-06-18T16:58:22
% 0.20/0.51
% 0.20/0.51
% 0.20/0.51 #||
% 0.20/0.51 % SZS status Theorem for /export/starexec/sandbox2/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 ; 123 formulas have been input or derived (from 33 formulas).
% 0.20/0.51 ; 52 (42%) were retained. Of these,
% 0.20/0.51 ; 5 (10%) were simplified or subsumed later,
% 0.20/0.51 ; 47 (90%) 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 14% Process new row (105 calls)
% 0.20/0.51 ; 0.004 11% Resolution (64 calls)
% 0.20/0.51 ; 0.000 0% Paramodulation (32 calls)
% 0.20/0.51 ; 0.000 0% Factoring (3 calls)
% 0.20/0.51 ; 0.000 0% Condensing (24 calls)
% 0.20/0.51 ; 0.000 0% Forward subsumption (24 calls)
% 0.20/0.51 ; 0.000 0% Backward subsumption (22 calls)
% 0.20/0.51 ; 0.000 0% Clause clause subsumption (8 calls)
% 0.20/0.51 ; 0.002 5% Forward simplification (105 calls)
% 0.20/0.51 ; 0.000 0% Backward simplification (52 calls)
% 0.20/0.51 ; 0.000 0% Ordering (16 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 57% Other
% 0.20/0.51 ; 0.037 Total
% 0.20/0.51 ; 0.040 Real time
% 0.20/0.51 ;
% 0.20/0.51 ; Term-hash-array has 65 terms in all.
% 0.20/0.51 ; Feature-vector-row-index has 17 entries (20 at peak, 22 added, 5 deleted).
% 0.20/0.51 ; Feature-vector-row-index has 44 nodes (87 at peak, 99 added, 55 deleted).
% 0.20/0.51 ; Retrieved 6 possibly forward subsuming rows in 24 calls.
% 0.20/0.51 ; Retrieved 2 possibly backward subsumed rows in 22 calls.
% 0.20/0.51 ; Path-index has 69 entries (69 at peak, 75 added, 6 deleted).
% 0.20/0.51 ; Path-index has 95 nodes (95 at peak, 95 added, 0 deleted).
% 0.20/0.51 ; Trie-index has 69 entries (69 at peak, 75 added, 6 deleted).
% 0.20/0.51 ; Trie-index has 116 nodes (116 at peak, 124 added, 8 deleted).
% 0.20/0.51 ; Retrieved 109 generalization terms in 130 calls.
% 0.20/0.51 ; Retrieved 29 instance terms in 29 calls.
% 0.20/0.51 ; Retrieved 2,099 unifiable terms in 468 calls.
% 0.20/0.51 ;
% 0.20/0.51 ; The agenda of rows to process has 5 entries:
% 0.20/0.51 ; 5 with value 12
% 0.20/0.51 ; The agenda of input rows to give has 1 entry:
% 0.20/0.51 ; 1 with value 7
% 0.20/0.51 ; The agenda of rows to give has 14 entries:
% 0.20/0.51 ; 2 with value (4 5) 1 with value (4 11) 2 with value (4 14)
% 0.20/0.51 ; 1 with value (4 10) 8 with value (4 12)
% 0.20/0.51 Evaluation took:
% 0.20/0.51 0.041 seconds of real time
% 0.20/0.51 0.033732 seconds of user run time
% 0.20/0.51 0.006833 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 3,131,824 bytes consed.
% 0.20/0.51 :PROOF-FOUND
% 0.20/0.51 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T16:58:22
% 0.20/0.51 :PROOF-FOUND
% 0.20/0.51 *
%------------------------------------------------------------------------------