TSTP Solution File: GEO187+3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO187+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n032.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 06:14:40 EDT 2022
% Result : Theorem 0.13s 0.42s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of clauses : 13 ( 7 unt; 4 nHn; 10 RR)
% Number of literals : 21 ( 0 equ; 11 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 21 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
~ distinct_lines(X,X),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',apart2) ).
cnf(5,axiom,
( ~ distinct_lines(X,Y)
| distinct_lines(X,Z)
| distinct_lines(Y,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',apart5) ).
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,axiom,
( ~ distinct_lines(X,Y)
| convergent_lines(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+1.ax',p1) ).
cnf(16,axiom,
~ convergent_lines(parallel_through_point(X,Y),X),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+2.ax',cp1) ).
cnf(17,axiom,
~ apart_point_and_line(X,parallel_through_point(Y,X)),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+2.ax',cp2) ).
cnf(41,axiom,
( incident_point_and_line(X,Y)
| apart_point_and_line(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+6.ax',a4) ).
cnf(48,negated_conjecture,
( ~ incident_point_and_line('SKOLEMAAAO3',line_connecting('SKOLEMAAAO1','SKOLEMAAAO2'))
| ~ incident_point_and_line('SKOLEMAAAO4',line_connecting('SKOLEMAAAO1','SKOLEMAAAO2')) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
cnf(49,plain,
~ distinct_lines(parallel_through_point(X,Y),X),
inference('UR-RESOLVE',[status(thm)],[15,16]) ).
cnf(74,plain,
( apart_point_and_line('SKOLEMAAAO3',line_connecting('SKOLEMAAAO1','SKOLEMAAAO2'))
| apart_point_and_line('SKOLEMAAAO4',line_connecting('SKOLEMAAAO1','SKOLEMAAAO2')) ),
inference('HYPERRESOLVE',[status(thm)],[48,41,41]) ).
cnf(83,plain,
~ distinct_lines(X,parallel_through_point(X,Y)),
inference('UR-RESOLVE',[status(thm)],[5,49,2]) ).
cnf(134,plain,
~ apart_point_and_line(X,Y),
inference('UR-RESOLVE',[status(thm)],[13,83,17]) ).
cnf(135,plain,
$false,
inference('REWRITE',[status(thm)],[74,134]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : GEO187+3 : TPTP v8.1.0. Released v4.0.0.
% 0.02/0.10 % Command : run-snark %s %d
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 600
% 0.09/0.29 % DateTime : Sat Jun 18 05:08:46 EDT 2022
% 0.09/0.29 % CPUTime :
% 0.13/0.37 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.37 *
% 0.13/0.37 *
% 0.13/0.38 #<PACKAGE "SNARK-USER">
% 0.13/0.38 *
% 0.13/0.38 SNARK-TPTP-OPTIONS
% 0.13/0.38 *
% 0.13/0.38 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.13/0.38 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.13/0.38 (USE-FACTORING :POS)
% 0.13/0.38 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.13/0.38 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.13/0.38 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.13/0.38 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.13/0.38 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.13/0.38 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.13/0.38 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.13/0.38 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.13/0.38 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.13/0.38 (DECLARE-TPTP-SYMBOLS2))
% 0.13/0.38 *
% 0.13/0.38 "."
% 0.13/0.38 *
% 0.13/0.38 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T05:08:46
% 0.13/0.38 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n032.cluster.edu at 2022-06-18T05:08:46
% 0.13/0.42
% 0.13/0.42
% 0.13/0.42 #||
% 0.13/0.42 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.42 % SZS output start Refutation
% See solution above
% 0.13/0.42 ||#
% 0.13/0.42
% 0.13/0.42 ; Summary of computation:
% 0.13/0.42 ; 295 formulas have been input or derived (from 81 formulas).
% 0.13/0.42 ; 135 (46%) were retained. Of these,
% 0.13/0.42 ; 38 (28%) were simplified or subsumed later,
% 0.13/0.42 ; 97 (72%) are still being kept.
% 0.13/0.42 ;
% 0.13/0.42 ; Run time in seconds excluding printing time:
% 0.13/0.42 ; 0.006 16% Read assertion file (1 call)
% 0.13/0.42 ; 0.002 5% Assert (36 calls)
% 0.13/0.42 ; 0.007 18% Process new row (264 calls)
% 0.13/0.42 ; 0.004 11% Resolution (160 calls)
% 0.13/0.42 ; 0.000 0% Paramodulation (80 calls)
% 0.13/0.42 ; 0.000 0% Factoring (8 calls)
% 0.13/0.42 ; 0.000 0% Condensing (52 calls)
% 0.13/0.42 ; 0.000 0% Forward subsumption (52 calls)
% 0.13/0.42 ; 0.001 3% Backward subsumption (45 calls)
% 0.13/0.42 ; 0.000 0% Clause clause subsumption (34 calls)
% 0.13/0.42 ; 0.001 3% Forward simplification (264 calls)
% 0.13/0.42 ; 0.001 3% Backward simplification (135 calls)
% 0.13/0.42 ; 0.000 0% Ordering (22 calls)
% 0.13/0.42 ; 0.000 0% Sortal reasoning (32 calls)
% 0.13/0.42 ; 0.000 0% Purity testing (1 call)
% 0.13/0.42 ; 0.016 42% Other
% 0.13/0.42 ; 0.038 Total
% 0.13/0.42 ; 0.039 Real time
% 0.13/0.42 ;
% 0.13/0.42 ; Term-hash-array has 164 terms in all.
% 0.13/0.42 ; Feature-vector-row-index has 33 entries (44 at peak, 45 added, 12 deleted).
% 0.13/0.42 ; Feature-vector-row-index has 74 nodes (100 at peak, 100 added, 26 deleted).
% 0.13/0.42 ; Retrieved 24 possibly forward subsuming rows in 52 calls.
% 0.13/0.42 ; Retrieved 15 possibly backward subsumed rows in 45 calls.
% 0.13/0.42 ; Path-index has 119 entries (168 at peak, 168 added, 49 deleted).
% 0.13/0.42 ; Path-index has 334 nodes (379 at peak, 379 added, 45 deleted).
% 0.13/0.42 ; Trie-index has 119 entries (168 at peak, 168 added, 49 deleted).
% 0.13/0.42 ; Trie-index has 273 nodes (390 at peak, 390 added, 117 deleted).
% 0.13/0.42 ; Retrieved 301 generalization terms in 327 calls.
% 0.13/0.42 ; Retrieved 140 instance terms in 89 calls.
% 0.13/0.42 ; Retrieved 4,997 unifiable terms in 1,215 calls.
% 0.13/0.42 ;
% 0.13/0.42 ; The agenda of backward simplifiable rows to process has 4 entries:
% 0.13/0.42 ; 4 with value 0
% 0.13/0.42 ; The agenda of rows to process has 9 entries:
% 0.13/0.42 ; 1 with value 7 1 with value 12 3 with value 13
% 0.13/0.42 ; 4 with value 10
% 0.13/0.42 ; The agenda of rows to give has 38 entries:
% 0.13/0.42 ; 1 with value (4 7) 5 with value (4 11) 3 with value (4 13)
% 0.13/0.42 ; 10 with value (4 9) 12 with value (4 12) 2 with value (4 14)
% 0.13/0.42 ; 5 with value (4 10)
% 0.13/0.42 Evaluation took:
% 0.13/0.42 0.04 seconds of real time
% 0.13/0.42 0.034348 seconds of user run time
% 0.13/0.42 0.005758 seconds of system run time
% 0.13/0.42 0 calls to %EVAL
% 0.13/0.42 0 page faults and
% 0.13/0.42 3,656,112 bytes consed.
% 0.13/0.42 :PROOF-FOUND
% 0.13/0.42 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T05:08:46
% 0.13/0.42 :PROOF-FOUND
% 0.13/0.42 *
%------------------------------------------------------------------------------