TSTP Solution File: GEO199+2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO199+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n004.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 06:14:50 EDT 2022
% Result : Theorem 0.21s 0.53s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 13
% Syntax : Number of clauses : 22 ( 15 unt; 4 nHn; 19 RR)
% Number of literals : 38 ( 0 equ; 18 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 : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 24 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ distinct_points(X,X),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',apart1) ).
cnf(2,axiom,
~ distinct_lines(X,X),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',apart2) ).
cnf(3,axiom,
~ convergent_lines(X,X),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',apart3) ).
cnf(5,axiom,
( ~ distinct_lines(X,Y)
| distinct_lines(X,Z)
| distinct_lines(Y,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',apart5) ).
cnf(6,axiom,
( ~ convergent_lines(X,Y)
| convergent_lines(X,Z)
| convergent_lines(Y,Z) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/GEO008+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/GEO008+0.ax',ceq1) ).
cnf(14,axiom,
( ~ convergent_lines(X,Y)
| distinct_lines(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',ceq3) ).
cnf(15,negated_conjecture,
convergent_lines('SKOLEMAAAV1','SKOLEMAAAV2'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
cnf(18,negated_conjecture,
~ apart_point_and_line(intersection_point('SKOLEMAAAV1','SKOLEMAAAV2'),'SKOLEMAAAV3'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
cnf(19,negated_conjecture,
apart_point_and_line(intersection_point('SKOLEMAAAV2','SKOLEMAAAV1'),'SKOLEMAAAV3'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
cnf(21,plain,
distinct_lines('SKOLEMAAAV1','SKOLEMAAAV2'),
inference('HYPERRESOLVE',[status(thm)],[14,15]) ).
cnf(24,plain,
convergent_lines('SKOLEMAAAV2','SKOLEMAAAV1'),
inference('UR-RESOLVE',[status(thm)],[6,15,3]) ).
cnf(29,plain,
distinct_points(intersection_point('SKOLEMAAAV2','SKOLEMAAAV1'),intersection_point('SKOLEMAAAV1','SKOLEMAAAV2')),
inference('UR-RESOLVE',[status(thm)],[12,19,18]) ).
cnf(33,plain,
~ apart_point_and_line(intersection_point('SKOLEMAAAV1','SKOLEMAAAV2'),'SKOLEMAAAV1'),
inference('UR-RESOLVE',[status(thm)],[9,15,1]) ).
cnf(37,plain,
~ apart_point_and_line(intersection_point('SKOLEMAAAV1','SKOLEMAAAV2'),'SKOLEMAAAV2'),
inference('UR-RESOLVE',[status(thm)],[10,15,1]) ).
cnf(42,plain,
distinct_lines('SKOLEMAAAV2','SKOLEMAAAV1'),
inference('UR-RESOLVE',[status(thm)],[5,21,2]) ).
cnf(49,plain,
~ apart_point_and_line(intersection_point('SKOLEMAAAV2','SKOLEMAAAV1'),'SKOLEMAAAV1'),
inference('UR-RESOLVE',[status(thm)],[10,24,1]) ).
cnf(50,plain,
~ apart_point_and_line(intersection_point('SKOLEMAAAV2','SKOLEMAAAV1'),'SKOLEMAAAV2'),
inference('UR-RESOLVE',[status(thm)],[9,24,1]) ).
cnf(70,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[11,50,42,49,37,33]),29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GEO199+2 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.14 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n004.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sat Jun 18 01:36:53 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.48 *
% 0.21/0.48 *
% 0.21/0.48 #<PACKAGE "SNARK-USER">
% 0.21/0.48 *
% 0.21/0.48 SNARK-TPTP-OPTIONS
% 0.21/0.48 *
% 0.21/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49 (USE-FACTORING :POS)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49 *
% 0.21/0.49 "."
% 0.21/0.49 *
% 0.21/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T01:36:54
% 0.21/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-06-18T01:36:54
% 0.21/0.53
% 0.21/0.53
% 0.21/0.53 #||
% 0.21/0.53 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.53 % SZS output start Refutation
% See solution above
% 0.21/0.53 ||#
% 0.21/0.53
% 0.21/0.53 ; Summary of computation:
% 0.21/0.53 ; 191 formulas have been input or derived (from 42 formulas).
% 0.21/0.53 ; 70 (37%) were retained. Of these,
% 0.21/0.53 ; 70 (100%) are still being kept.
% 0.21/0.53 ;
% 0.21/0.53 ; Run time in seconds excluding printing time:
% 0.21/0.53 ; 0.004 10% Read assertion file (1 call)
% 0.21/0.53 ; 0.001 2% Assert (13 calls)
% 0.21/0.53 ; 0.005 12% Process new row (157 calls)
% 0.21/0.53 ; 0.007 17% Resolution (82 calls)
% 0.21/0.53 ; 0.001 2% Paramodulation (41 calls)
% 0.21/0.53 ; 0.000 0% Factoring (3 calls)
% 0.21/0.53 ; 0.001 2% Condensing (33 calls)
% 0.21/0.53 ; 0.000 0% Forward subsumption (33 calls)
% 0.21/0.53 ; 0.000 0% Backward subsumption (27 calls)
% 0.21/0.53 ; 0.000 0% Clause clause subsumption (13 calls)
% 0.21/0.53 ; 0.000 0% Forward simplification (157 calls)
% 0.21/0.53 ; 0.001 2% Backward simplification (70 calls)
% 0.21/0.53 ; 0.000 0% Ordering (7 calls)
% 0.21/0.53 ; 0.000 0% Sortal reasoning (32 calls)
% 0.21/0.53 ; 0.000 0% Purity testing (1 call)
% 0.21/0.53 ; 0.022 52% Other
% 0.21/0.53 ; 0.042 Total
% 0.21/0.53 ; 0.045 Real time
% 0.21/0.53 ;
% 0.21/0.53 ; Term-hash-array has 84 terms in all.
% 0.21/0.53 ; Feature-vector-row-index has 27 entries (27 at peak, 27 added, 0 deleted).
% 0.21/0.53 ; Feature-vector-row-index has 76 nodes (76 at peak, 76 added, 0 deleted).
% 0.21/0.53 ; Retrieved 11 possibly forward subsuming rows in 33 calls.
% 0.21/0.53 ; Retrieved 2 possibly backward subsumed rows in 27 calls.
% 0.21/0.53 ; Path-index has 87 entries (87 at peak, 87 added, 0 deleted).
% 0.21/0.53 ; Path-index has 89 nodes (89 at peak, 89 added, 0 deleted).
% 0.21/0.53 ; Trie-index has 87 entries (87 at peak, 87 added, 0 deleted).
% 0.21/0.53 ; Trie-index has 126 nodes (126 at peak, 126 added, 0 deleted).
% 0.21/0.53 ; Retrieved 178 generalization terms in 193 calls.
% 0.21/0.53 ; Retrieved 42 instance terms in 42 calls.
% 0.21/0.53 ; Retrieved 3,023 unifiable terms in 707 calls.
% 0.21/0.53 ;
% 0.21/0.53 ; The agenda of rows to process has 7 entries:
% 0.21/0.53 ; 7 with value 12
% 0.21/0.53 ; The agenda of rows to give has 28 entries:
% 0.21/0.53 ; 2 with value (4 9) 6 with value (4 11) 3 with value (4 14)
% 0.21/0.53 ; 9 with value (4 10) 6 with value (4 12) 2 with value (4 15)
% 0.21/0.53 Evaluation took:
% 0.21/0.53 0.046 seconds of real time
% 0.21/0.53 0.040027 seconds of user run time
% 0.21/0.53 0.006261 seconds of system run time
% 0.21/0.53 0 calls to %EVAL
% 0.21/0.53 0 page faults and
% 0.21/0.53 3,295,928 bytes consed.
% 0.21/0.53 :PROOF-FOUND
% 0.21/0.53 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T01:36:54
% 0.21/0.53 :PROOF-FOUND
% 0.21/0.53 *
%------------------------------------------------------------------------------