%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO204+1 : TPTP v8.1.0. Released v3.3.0.
% 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 06:14:54 EDT 2022
% Result : Theorem 0.25s 1.63s
% Output : Refutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of clauses : 18 ( 12 unt; 3 nHn; 16 RR)
% Number of literals : 30 ( 0 equ; 16 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 : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 15 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ distinct_points(X,X),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',apart1) ).
cnf(4,axiom,
( ~ distinct_points(X,Y)
| distinct_points(X,Z)
| distinct_points(Y,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',apart4) ).
cnf(7,axiom,
( ~ distinct_points(X,Y)
| ~ apart_point_and_line(X,line_connecting(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ci1) ).
cnf(8,axiom,
( ~ distinct_points(X,Y)
| ~ apart_point_and_line(Y,line_connecting(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ci2) ).
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(15,negated_conjecture,
distinct_points('SKOLEMAAAV1','SKOLEMAAAV2'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
cnf(16,negated_conjecture,
~ distinct_points('SKOLEMAAAV2','SKOLEMAAAV3'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
cnf(17,negated_conjecture,
( ~ distinct_points('SKOLEMAAAV1','SKOLEMAAAV3')
| distinct_lines(line_connecting('SKOLEMAAAV1','SKOLEMAAAV2'),line_connecting('SKOLEMAAAV1','SKOLEMAAAV3')) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
cnf(18,plain,
~ apart_point_and_line('SKOLEMAAAV1',line_connecting('SKOLEMAAAV1','SKOLEMAAAV2')),
inference('UR-RESOLVE',[status(thm)],[7,15]) ).
cnf(19,plain,
~ apart_point_and_line('SKOLEMAAAV2',line_connecting('SKOLEMAAAV1','SKOLEMAAAV2')),
inference('UR-RESOLVE',[status(thm)],[8,15]) ).
cnf(20,plain,
~ distinct_points('SKOLEMAAAV3','SKOLEMAAAV2'),
inference('UR-RESOLVE',[status(thm)],[4,1,16]) ).
cnf(21,plain,
distinct_points('SKOLEMAAAV1','SKOLEMAAAV3'),
inference('UR-RESOLVE',[status(thm)],[4,15,16]) ).
cnf(22,plain,
distinct_lines(line_connecting('SKOLEMAAAV1','SKOLEMAAAV2'),line_connecting('SKOLEMAAAV1','SKOLEMAAAV3')),
inference('REWRITE',[status(thm)],[17,21]) ).
cnf(29,plain,
~ apart_point_and_line('SKOLEMAAAV3',line_connecting('SKOLEMAAAV1','SKOLEMAAAV3')),
inference('UR-RESOLVE',[status(thm)],[8,21]) ).
cnf(30,plain,
~ apart_point_and_line('SKOLEMAAAV1',line_connecting('SKOLEMAAAV1','SKOLEMAAAV3')),
inference('UR-RESOLVE',[status(thm)],[7,21]) ).
cnf(33,plain,
apart_point_and_line('SKOLEMAAAV3',line_connecting('SKOLEMAAAV1','SKOLEMAAAV2')),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[11,21,22]),29,30,18]) ).
cnf(38,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[12,19,20]),33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO204+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n021.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jun 18 08:33:31 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.25/1.57 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.25/1.58 *
% 0.25/1.58 *
% 0.25/1.59 #<PACKAGE "SNARK-USER">
% 0.25/1.59 *
% 0.25/1.59 SNARK-TPTP-OPTIONS
% 0.25/1.59 *
% 0.25/1.59 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.25/1.59 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.25/1.59 (USE-FACTORING :POS)
% 0.25/1.59 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.25/1.59 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.25/1.59 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.25/1.59 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.25/1.59 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.25/1.59 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.25/1.59 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.25/1.59 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.25/1.59 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.25/1.59 (DECLARE-TPTP-SYMBOLS2))
% 0.25/1.59 *
% 0.25/1.59 "."
% 0.25/1.59 *
% 0.25/1.59 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T08:33:32
% 0.25/1.59 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-18T08:33:32
% 0.25/1.63
% 0.25/1.63
% 0.25/1.63 #||
% 0.25/1.63 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.25/1.63 % SZS output start Refutation
% See solution above
% 0.25/1.63 ||#
% 0.25/1.63
% 0.25/1.63 ; Summary of computation:
% 0.25/1.63 ; 70 formulas have been input or derived (from 24 formulas).
% 0.25/1.63 ; 38 (54%) were retained. Of these,
% 0.25/1.63 ; 2 ( 5%) were simplified or subsumed later,
% 0.25/1.63 ; 36 (95%) are still being kept.
% 0.25/1.63 ;
% 0.25/1.63 ; Run time in seconds excluding printing time:
% 0.25/1.63 ; 0.004 12% Read assertion file (1 call)
% 0.25/1.63 ; 0.000 0% Assert (15 calls)
% 0.25/1.63 ; 0.003 9% Process new row (64 calls)
% 0.25/1.63 ; 0.001 3% Resolution (46 calls)
% 0.25/1.63 ; 0.000 0% Paramodulation (23 calls)
% 0.25/1.63 ; 0.000 0% Condensing (18 calls)
% 0.25/1.63 ; 0.001 3% Forward subsumption (18 calls)
% 0.25/1.63 ; 0.000 0% Backward subsumption (16 calls)
% 0.25/1.63 ; 0.000 0% Clause clause subsumption (6 calls)
% 0.25/1.63 ; 0.001 3% Forward simplification (64 calls)
% 0.25/1.63 ; 0.000 0% Backward simplification (38 calls)
% 0.25/1.63 ; 0.001 3% Ordering (6 calls)
% 0.25/1.63 ; 0.001 3% Sortal reasoning (32 calls)
% 0.25/1.63 ; 0.001 3% Purity testing (1 call)
% 0.25/1.63 ; 0.021 62% Other
% 0.25/1.63 ; 0.034 Total
% 0.25/1.63 ; 0.036 Real time
% 0.25/1.63 ;
% 0.25/1.63 ; Term-hash-array has 52 terms in all.
% 0.25/1.63 ; Feature-vector-row-index has 14 entries (14 at peak, 16 added, 2 deleted).
% 0.25/1.63 ; Feature-vector-row-index has 35 nodes (45 at peak, 61 added, 26 deleted).
% 0.25/1.63 ; Retrieved 4 possibly forward subsuming rows in 18 calls.
% 0.25/1.63 ; Retrieved 2 possibly backward subsumed rows in 16 calls.
% 0.25/1.63 ; Path-index has 55 entries (55 at peak, 58 added, 3 deleted).
% 0.25/1.63 ; Path-index has 77 nodes (77 at peak, 82 added, 5 deleted).
% 0.25/1.63 ; Trie-index has 55 entries (55 at peak, 58 added, 3 deleted).
% 0.25/1.63 ; Trie-index has 83 nodes (83 at peak, 91 added, 8 deleted).
% 0.25/1.63 ; Retrieved 76 generalization terms in 87 calls.
% 0.25/1.63 ; Retrieved 21 instance terms in 21 calls.
% 0.25/1.63 ; Retrieved 875 unifiable terms in 246 calls.
% 0.25/1.63 ;
% 0.25/1.63 ; The agenda of rows to process has 2 entries:
% 0.25/1.63 ; 1 with value 9 1 with value 11
% 0.25/1.63 ; The agenda of rows to give has 12 entries:
% 0.25/1.63 ; 1 with value (4 8) 4 with value (4 10) 1 with value (4 15)
% 0.25/1.63 ; 6 with value (4 9)
% 0.25/1.63 Evaluation took:
% 0.25/1.63 0.037 seconds of real time
% 0.25/1.63 0.030798 seconds of user run time
% 0.25/1.63 0.006005 seconds of system run time
% 0.25/1.63 0 calls to %EVAL
% 0.25/1.63 0 page faults and
% 0.25/1.63 2,796,040 bytes consed.
% 0.25/1.63 :PROOF-FOUND
% 0.25/1.63 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T08:33:32
% 0.25/1.63 :PROOF-FOUND
% 0.25/1.63 *
%------------------------------------------------------------------------------