TSTP Solution File: GEO201+2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO201+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n018.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 0.21s 0.51s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of clauses : 17 ( 11 unt; 3 nHn; 16 RR)
% Number of literals : 30 ( 0 equ; 13 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 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(3,axiom,
~ convergent_lines(X,X),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',apart3) ).
cnf(6,axiom,
( ~ convergent_lines(X,Y)
| convergent_lines(X,Z)
| convergent_lines(Y,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',apart6) ).
cnf(9,axiom,
( ~ convergent_lines(X,Y)
| ~ apart_point_and_line(Z,X)
| distinct_points(Z,intersection_point(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',con2) ).
cnf(10,axiom,
( ~ convergent_lines(X,Y)
| ~ apart_point_and_line(Z,Y)
| distinct_points(Z,intersection_point(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',con2) ).
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(14,axiom,
( ~ convergent_lines(X,Y)
| distinct_lines(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',ceq3) ).
cnf(15,negated_conjecture,
convergent_lines('SKOLEMAAAV1','SKOLEMAAAV2'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
cnf(16,negated_conjecture,
distinct_points(intersection_point('SKOLEMAAAV1','SKOLEMAAAV2'),intersection_point('SKOLEMAAAV2','SKOLEMAAAV1')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
cnf(17,plain,
distinct_lines('SKOLEMAAAV1','SKOLEMAAAV2'),
inference('HYPERRESOLVE',[status(thm)],[14,15]) ).
cnf(20,plain,
convergent_lines('SKOLEMAAAV2','SKOLEMAAAV1'),
inference('UR-RESOLVE',[status(thm)],[6,15,3]) ).
cnf(24,plain,
~ apart_point_and_line(intersection_point('SKOLEMAAAV1','SKOLEMAAAV2'),'SKOLEMAAAV1'),
inference('UR-RESOLVE',[status(thm)],[9,15,1]) ).
cnf(25,plain,
~ apart_point_and_line(intersection_point('SKOLEMAAAV1','SKOLEMAAAV2'),'SKOLEMAAAV2'),
inference('UR-RESOLVE',[status(thm)],[10,15,1]) ).
cnf(28,plain,
( apart_point_and_line(intersection_point('SKOLEMAAAV2','SKOLEMAAAV1'),'SKOLEMAAAV1')
| apart_point_and_line(intersection_point('SKOLEMAAAV2','SKOLEMAAAV1'),'SKOLEMAAAV2') ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[11,17,16]),25,24]) ).
cnf(29,plain,
~ apart_point_and_line(intersection_point('SKOLEMAAAV2','SKOLEMAAAV1'),'SKOLEMAAAV1'),
inference('UR-RESOLVE',[status(thm)],[10,20,1]) ).
cnf(30,plain,
apart_point_and_line(intersection_point('SKOLEMAAAV2','SKOLEMAAAV1'),'SKOLEMAAAV2'),
inference('REWRITE',[status(thm)],[28,29]) ).
cnf(31,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[9,20,1]),30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO201+2 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n018.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Fri Jun 17 17:06:02 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.47 *
% 0.21/0.47 *
% 0.21/0.48 #<PACKAGE "SNARK-USER">
% 0.21/0.48 *
% 0.21/0.48 SNARK-TPTP-OPTIONS
% 0.21/0.48 *
% 0.21/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48 (USE-FACTORING :POS)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48 *
% 0.21/0.48 "."
% 0.21/0.48 *
% 0.21/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T17:06:02
% 0.21/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-06-17T17:06:02
% 0.21/0.51
% 0.21/0.51
% 0.21/0.51 #||
% 0.21/0.51 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.51 % SZS output start Refutation
% See solution above
% 0.21/0.52 ||#
% 0.21/0.52
% 0.21/0.52 ; Summary of computation:
% 0.21/0.52 ; 44 formulas have been input or derived (from 19 formulas).
% 0.21/0.52 ; 31 (70%) were retained. Of these,
% 0.21/0.52 ; 1 ( 3%) were simplified or subsumed later,
% 0.21/0.52 ; 30 (97%) are still being kept.
% 0.21/0.52 ;
% 0.21/0.52 ; Run time in seconds excluding printing time:
% 0.21/0.52 ; 0.004 12% Read assertion file (1 call)
% 0.21/0.52 ; 0.001 3% Assert (13 calls)
% 0.21/0.52 ; 0.004 12% Process new row (42 calls)
% 0.21/0.52 ; 0.001 3% Resolution (36 calls)
% 0.21/0.52 ; 0.000 0% Paramodulation (18 calls)
% 0.21/0.52 ; 0.000 0% Condensing (15 calls)
% 0.21/0.52 ; 0.000 0% Forward subsumption (15 calls)
% 0.21/0.52 ; 0.000 0% Backward subsumption (15 calls)
% 0.21/0.52 ; 0.000 0% Clause clause subsumption (4 calls)
% 0.21/0.52 ; 0.001 3% Forward simplification (42 calls)
% 0.21/0.52 ; 0.000 0% Backward simplification (31 calls)
% 0.21/0.52 ; 0.000 0% Ordering (6 calls)
% 0.21/0.52 ; 0.000 0% Sortal reasoning (32 calls)
% 0.21/0.52 ; 0.000 0% Purity testing (1 call)
% 0.21/0.52 ; 0.023 68% Other
% 0.21/0.52 ; 0.034 Total
% 0.21/0.52 ; 0.036 Real time
% 0.21/0.52 ;
% 0.21/0.52 ; Term-hash-array has 47 terms in all.
% 0.21/0.52 ; Feature-vector-row-index has 14 entries (15 at peak, 15 added, 1 deleted).
% 0.21/0.52 ; Feature-vector-row-index has 35 nodes (45 at peak, 45 added, 10 deleted).
% 0.21/0.52 ; Retrieved 2 possibly forward subsuming rows in 15 calls.
% 0.21/0.52 ; Retrieved 2 possibly backward subsumed rows in 15 calls.
% 0.21/0.52 ; Path-index has 49 entries (49 at peak, 50 added, 1 deleted).
% 0.21/0.52 ; Path-index has 95 nodes (95 at peak, 95 added, 0 deleted).
% 0.21/0.52 ; Trie-index has 49 entries (49 at peak, 50 added, 1 deleted).
% 0.21/0.52 ; Trie-index has 85 nodes (85 at peak, 86 added, 1 deleted).
% 0.21/0.52 ; Retrieved 49 generalization terms in 56 calls.
% 0.21/0.52 ; Retrieved 15 instance terms in 15 calls.
% 0.21/0.52 ; Retrieved 401 unifiable terms in 111 calls.
% 0.21/0.52 ;
% 0.21/0.52 ; The agenda of rows to process has 1 entry:
% 0.21/0.52 ; 1 with value 10
% 0.21/0.52 ; The agenda of rows to give has 11 entries:
% 0.21/0.52 ; 1 with value (4 6) 3 with value (4 9) 3 with value (4 15)
% 0.21/0.52 ; 2 with value (4 8) 2 with value (4 10)
% 0.21/0.52 Evaluation took:
% 0.21/0.52 0.036 seconds of real time
% 0.21/0.52 0.029829 seconds of user run time
% 0.21/0.52 0.006157 seconds of system run time
% 0.21/0.52 0 calls to %EVAL
% 0.21/0.52 0 page faults and
% 0.21/0.52 2,628,120 bytes consed.
% 0.21/0.52 :PROOF-FOUND
% 0.21/0.52 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T17:06:02
% 0.21/0.52 :PROOF-FOUND
% 0.21/0.52 *
%------------------------------------------------------------------------------