TSTP Solution File: GEO180+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO180+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n017.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 06:14:33 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of clauses : 18 ( 12 unt; 4 nHn; 15 RR)
% Number of literals : 31 ( 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 : 18 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ distinct_points(X,X),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',apart1) ).
cnf(4,axiom,
( ~ distinct_points(X,Y)
| distinct_points(X,Z)
| distinct_points(Y,Z) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/GEO006+0.ax',ceq1) ).
cnf(13,axiom,
( ~ apart_point_and_line(X,Y)
| distinct_lines(Y,Z)
| apart_point_and_line(X,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ceq2) ).
cnf(15,negated_conjecture,
distinct_points('SKOLEMAAAV1','SKOLEMAAAV2'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
cnf(16,negated_conjecture,
apart_point_and_line('SKOLEMAAAV3',line_connecting('SKOLEMAAAV1','SKOLEMAAAV2')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
cnf(17,negated_conjecture,
~ apart_point_and_line('SKOLEMAAAV1',line_connecting('SKOLEMAAAV3','SKOLEMAAAV2')),
file('/export/starexec/sandbox/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('SKOLEMAAAV2','SKOLEMAAAV1'),
inference('UR-RESOLVE',[status(thm)],[4,15,1]) ).
cnf(33,plain,
distinct_points('SKOLEMAAAV3','SKOLEMAAAV2'),
inference('UR-RESOLVE',[status(thm)],[12,19,16]) ).
cnf(35,plain,
~ apart_point_and_line('SKOLEMAAAV2',line_connecting('SKOLEMAAAV3','SKOLEMAAAV2')),
inference('UR-RESOLVE',[status(thm)],[8,33]) ).
cnf(36,plain,
~ apart_point_and_line('SKOLEMAAAV3',line_connecting('SKOLEMAAAV3','SKOLEMAAAV2')),
inference('UR-RESOLVE',[status(thm)],[7,33]) ).
cnf(46,plain,
~ distinct_lines(line_connecting('SKOLEMAAAV1','SKOLEMAAAV2'),line_connecting('SKOLEMAAAV3','SKOLEMAAAV2')),
inference('UR-RESOLVE',[status(thm)],[11,35,20,19,18,17]) ).
cnf(48,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[13,36,16]),46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO180+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n017.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 03:33:12 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T03:33:12
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-06-18T03:33:12
% 0.19/0.51
% 0.19/0.51
% 0.19/0.51 #||
% 0.19/0.51 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.51 % SZS output start Refutation
% See solution above
% 0.19/0.51 ||#
% 0.19/0.51
% 0.19/0.51 ; Summary of computation:
% 0.19/0.51 ; 121 formulas have been input or derived (from 32 formulas).
% 0.19/0.51 ; 48 (40%) were retained. Of these,
% 0.19/0.51 ; 48 (100%) are still being kept.
% 0.19/0.51 ;
% 0.19/0.51 ; Run time in seconds excluding printing time:
% 0.19/0.51 ; 0.004 10% Read assertion file (1 call)
% 0.19/0.51 ; 0.000 0% Assert (15 calls)
% 0.19/0.51 ; 0.005 13% Process new row (93 calls)
% 0.19/0.51 ; 0.005 13% Resolution (62 calls)
% 0.19/0.51 ; 0.000 0% Paramodulation (31 calls)
% 0.19/0.51 ; 0.000 0% Factoring (1 call)
% 0.19/0.51 ; 0.000 0% Condensing (20 calls)
% 0.19/0.51 ; 0.001 3% Forward subsumption (20 calls)
% 0.19/0.51 ; 0.000 0% Backward subsumption (17 calls)
% 0.19/0.51 ; 0.000 0% Clause clause subsumption (8 calls)
% 0.19/0.51 ; 0.000 0% Forward simplification (93 calls)
% 0.19/0.51 ; 0.000 0% Backward simplification (48 calls)
% 0.19/0.51 ; 0.000 0% Ordering (4 calls)
% 0.19/0.51 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.51 ; 0.001 3% Purity testing (1 call)
% 0.19/0.51 ; 0.023 59% Other
% 0.19/0.51 ; 0.039 Total
% 0.19/0.51 ; 0.041 Real time
% 0.19/0.51 ;
% 0.19/0.51 ; Term-hash-array has 65 terms in all.
% 0.19/0.51 ; Feature-vector-row-index has 17 entries (17 at peak, 17 added, 0 deleted).
% 0.19/0.51 ; Feature-vector-row-index has 43 nodes (43 at peak, 43 added, 0 deleted).
% 0.19/0.51 ; Retrieved 6 possibly forward subsuming rows in 20 calls.
% 0.19/0.51 ; Retrieved 2 possibly backward subsumed rows in 17 calls.
% 0.19/0.51 ; Path-index has 68 entries (68 at peak, 68 added, 0 deleted).
% 0.19/0.51 ; Path-index has 81 nodes (81 at peak, 81 added, 0 deleted).
% 0.19/0.51 ; Trie-index has 68 entries (68 at peak, 68 added, 0 deleted).
% 0.19/0.51 ; Trie-index has 106 nodes (106 at peak, 106 added, 0 deleted).
% 0.19/0.51 ; Retrieved 93 generalization terms in 108 calls.
% 0.19/0.51 ; Retrieved 30 instance terms in 30 calls.
% 0.19/0.51 ; Retrieved 2,258 unifiable terms in 602 calls.
% 0.19/0.51 ;
% 0.19/0.51 ; The agenda of rows to process has 8 entries:
% 0.19/0.51 ; 8 with value 13
% 0.19/0.51 ; The agenda of rows to give has 16 entries:
% 0.19/0.51 ; 6 with value (4 11) 5 with value (4 13) 1 with value (4 14)
% 0.19/0.51 ; 4 with value (4 12)
% 0.19/0.51 Evaluation took:
% 0.19/0.51 0.042 seconds of real time
% 0.19/0.51 0.036407 seconds of user run time
% 0.19/0.51 0.00502 seconds of system run time
% 0.19/0.51 0 calls to %EVAL
% 0.19/0.51 0 page faults and
% 0.19/0.51 2,894,536 bytes consed.
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T03:33:12
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 *
%------------------------------------------------------------------------------