TSTP Solution File: GEO187+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO187+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n003.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 06:14:39 EDT 2022
% Result : Theorem 0.19s 0.50s
% Output : Refutation 0.19s
% 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 : 32 ( 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 : 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(13,axiom,
( ~ apart_point_and_line(X,Y)
| distinct_lines(Y,Z)
| apart_point_and_line(X,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ceq2) ).
cnf(15,negated_conjecture,
distinct_points('SKOLEMAAAV1','SKOLEMAAAV2'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
cnf(16,negated_conjecture,
distinct_points('SKOLEMAAAV3','SKOLEMAAAV4'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
cnf(17,negated_conjecture,
~ apart_point_and_line('SKOLEMAAAV1',line_connecting('SKOLEMAAAV3','SKOLEMAAAV4')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
cnf(18,negated_conjecture,
~ apart_point_and_line('SKOLEMAAAV2',line_connecting('SKOLEMAAAV3','SKOLEMAAAV4')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
cnf(19,negated_conjecture,
( apart_point_and_line('SKOLEMAAAV3',line_connecting('SKOLEMAAAV1','SKOLEMAAAV2'))
| apart_point_and_line('SKOLEMAAAV4',line_connecting('SKOLEMAAAV1','SKOLEMAAAV2')) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
cnf(20,plain,
~ apart_point_and_line('SKOLEMAAAV3',line_connecting('SKOLEMAAAV3','SKOLEMAAAV4')),
inference('UR-RESOLVE',[status(thm)],[7,16]) ).
cnf(21,plain,
~ apart_point_and_line('SKOLEMAAAV1',line_connecting('SKOLEMAAAV1','SKOLEMAAAV2')),
inference('UR-RESOLVE',[status(thm)],[7,15]) ).
cnf(22,plain,
~ apart_point_and_line('SKOLEMAAAV4',line_connecting('SKOLEMAAAV3','SKOLEMAAAV4')),
inference('UR-RESOLVE',[status(thm)],[8,16]) ).
cnf(23,plain,
~ apart_point_and_line('SKOLEMAAAV2',line_connecting('SKOLEMAAAV1','SKOLEMAAAV2')),
inference('UR-RESOLVE',[status(thm)],[8,15]) ).
cnf(25,plain,
distinct_points('SKOLEMAAAV2','SKOLEMAAAV1'),
inference('UR-RESOLVE',[status(thm)],[4,15,1]) ).
cnf(34,plain,
~ distinct_lines(line_connecting('SKOLEMAAAV1','SKOLEMAAAV2'),line_connecting('SKOLEMAAAV3','SKOLEMAAAV4')),
inference('UR-RESOLVE',[status(thm)],[11,23,25,18,21,17]) ).
cnf(44,plain,
~ apart_point_and_line('SKOLEMAAAV3',line_connecting('SKOLEMAAAV1','SKOLEMAAAV2')),
inference('UR-RESOLVE',[status(thm)],[13,34,20]) ).
cnf(45,plain,
apart_point_and_line('SKOLEMAAAV4',line_connecting('SKOLEMAAAV1','SKOLEMAAAV2')),
inference('REWRITE',[status(thm)],[19,44]) ).
cnf(48,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[13,34,22]),45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO187+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.14/0.33 % Computer : n003.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 600
% 0.14/0.33 % DateTime : Fri Jun 17 20:44:42 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 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/sandbox2/benchmark/theBenchmark.p 2022-06-17T20:44:42
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n003.cluster.edu at 2022-06-17T20:44:43
% 0.19/0.50
% 0.19/0.50
% 0.19/0.50 #||
% 0.19/0.50 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.50 % SZS output start Refutation
% See solution above
% 0.19/0.50 ||#
% 0.19/0.50
% 0.19/0.50 ; Summary of computation:
% 0.19/0.50 ; 119 formulas have been input or derived (from 33 formulas).
% 0.19/0.50 ; 48 (40%) were retained. Of these,
% 0.19/0.50 ; 3 ( 6%) were simplified or subsumed later,
% 0.19/0.50 ; 45 (94%) are still being kept.
% 0.19/0.50 ;
% 0.19/0.50 ; Run time in seconds excluding printing time:
% 0.19/0.50 ; 0.005 13% Read assertion file (1 call)
% 0.19/0.50 ; 0.000 0% Assert (15 calls)
% 0.19/0.50 ; 0.004 11% Process new row (101 calls)
% 0.19/0.50 ; 0.002 5% Resolution (64 calls)
% 0.19/0.50 ; 0.000 0% Paramodulation (32 calls)
% 0.19/0.50 ; 0.000 0% Factoring (3 calls)
% 0.19/0.50 ; 0.001 3% Condensing (22 calls)
% 0.19/0.50 ; 0.001 3% Forward subsumption (22 calls)
% 0.19/0.50 ; 0.000 0% Backward subsumption (20 calls)
% 0.19/0.50 ; 0.000 0% Clause clause subsumption (8 calls)
% 0.19/0.50 ; 0.002 5% Forward simplification (101 calls)
% 0.19/0.50 ; 0.000 0% Backward simplification (48 calls)
% 0.19/0.50 ; 0.001 3% Ordering (12 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 ; 0.021 55% Other
% 0.19/0.50 ; 0.038 Total
% 0.19/0.50 ; 0.040 Real time
% 0.19/0.50 ;
% 0.19/0.50 ; Term-hash-array has 62 terms in all.
% 0.19/0.50 ; Feature-vector-row-index has 17 entries (18 at peak, 20 added, 3 deleted).
% 0.19/0.50 ; Feature-vector-row-index has 44 nodes (69 at peak, 81 added, 37 deleted).
% 0.19/0.50 ; Retrieved 6 possibly forward subsuming rows in 22 calls.
% 0.19/0.50 ; Retrieved 2 possibly backward subsumed rows in 20 calls.
% 0.19/0.50 ; Path-index has 66 entries (66 at peak, 70 added, 4 deleted).
% 0.19/0.50 ; Path-index has 95 nodes (95 at peak, 95 added, 0 deleted).
% 0.19/0.50 ; Trie-index has 66 entries (66 at peak, 70 added, 4 deleted).
% 0.19/0.50 ; Trie-index has 115 nodes (115 at peak, 121 added, 6 deleted).
% 0.19/0.50 ; Retrieved 102 generalization terms in 121 calls.
% 0.19/0.50 ; Retrieved 27 instance terms in 27 calls.
% 0.19/0.50 ; Retrieved 1,686 unifiable terms in 464 calls.
% 0.19/0.50 ;
% 0.19/0.50 ; The agenda of rows to process has 5 entries:
% 0.19/0.50 ; 5 with value 12
% 0.19/0.50 ; The agenda of input rows to give has 1 entry:
% 0.19/0.50 ; 1 with value 7
% 0.19/0.50 ; The agenda of rows to give has 12 entries:
% 0.19/0.50 ; 1 with value (4 10) 8 with value (4 12) 2 with value (4 14)
% 0.19/0.50 ; 1 with value (4 11)
% 0.19/0.50 Evaluation took:
% 0.19/0.50 0.04 seconds of real time
% 0.19/0.50 0.035317 seconds of user run time
% 0.19/0.50 0.005219 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 3,065,976 bytes consed.
% 0.19/0.50 :PROOF-FOUND
% 0.19/0.50 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T20:44:43
% 0.19/0.50 :PROOF-FOUND
% 0.19/0.50 *
%------------------------------------------------------------------------------