TSTP Solution File: GEO218+1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO218+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n021.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 06:15:05 EDT 2022
% Result : Theorem 0.19s 0.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of clauses : 11 ( 8 unt; 3 nHn; 8 RR)
% Number of literals : 17 ( 0 equ; 7 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 9 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
~ convergent_lines(X,X),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',apart3) ).
cnf(6,axiom,
( ~ convergent_lines(X,Y)
| convergent_lines(X,Z)
| convergent_lines(Y,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ax6) ).
cnf(15,axiom,
( convergent_lines(X,Y)
| unorthogonal_lines(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+4.ax',coipo1) ).
cnf(17,axiom,
( convergent_lines(X,Y)
| unorthogonal_lines(X,Z)
| ~ convergent_lines(Y,Z)
| ~ unorthogonal_lines(Y,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+4.ax',cotno1) ).
cnf(21,negated_conjecture,
~ convergent_lines('SKOLEMAAAV1','SKOLEMAAAV2'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
cnf(22,negated_conjecture,
~ unorthogonal_lines('SKOLEMAAAV1','SKOLEMAAAV3'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
cnf(23,negated_conjecture,
unorthogonal_lines('SKOLEMAAAV2','SKOLEMAAAV3'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
cnf(24,plain,
convergent_lines('SKOLEMAAAV1','SKOLEMAAAV3'),
inference('HYPERRESOLVE',[status(thm)],[22,15]) ).
cnf(28,plain,
~ convergent_lines('SKOLEMAAAV2','SKOLEMAAAV3'),
inference('UR-RESOLVE',[status(thm)],[17,21,22,23]) ).
cnf(31,plain,
convergent_lines('SKOLEMAAAV3','SKOLEMAAAV2'),
inference('UR-RESOLVE',[status(thm)],[6,24,21]) ).
cnf(39,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[6,28,3]),31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO218+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 18 18:20:47 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 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 2022-06-18T18:20:47
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-18T18:20:47
% 0.19/0.49
% 0.19/0.49
% 0.19/0.49 #||
% 0.19/0.49 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.49 % 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 ; 75 formulas have been input or derived (from 28 formulas).
% 0.19/0.50 ; 39 (52%) were retained. Of these,
% 0.19/0.50 ; 1 ( 3%) were simplified or subsumed later,
% 0.19/0.50 ; 38 (97%) 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 14% Read assertion file (1 call)
% 0.19/0.50 ; 0.001 3% Assert (18 calls)
% 0.19/0.50 ; 0.003 8% Process new row (72 calls)
% 0.19/0.50 ; 0.002 6% Resolution (54 calls)
% 0.19/0.50 ; 0.000 0% Paramodulation (27 calls)
% 0.19/0.50 ; 0.000 0% Factoring (1 call)
% 0.19/0.50 ; 0.000 0% Condensing (20 calls)
% 0.19/0.50 ; 0.000 0% Forward subsumption (20 calls)
% 0.19/0.50 ; 0.000 0% Backward subsumption (20 calls)
% 0.19/0.50 ; 0.001 3% Clause clause subsumption (10 calls)
% 0.19/0.50 ; 0.001 3% Forward simplification (72 calls)
% 0.19/0.50 ; 0.000 0% Backward simplification (39 calls)
% 0.19/0.50 ; 0.000 0% 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 ; 0.022 61% Other
% 0.19/0.50 ; 0.036 Total
% 0.19/0.50 ; 0.037 Real time
% 0.19/0.50 ;
% 0.19/0.50 ; Term-hash-array has 49 terms in all.
% 0.19/0.50 ; Feature-vector-row-index has 19 entries (19 at peak, 20 added, 1 deleted).
% 0.19/0.50 ; Feature-vector-row-index has 39 nodes (39 at peak, 42 added, 3 deleted).
% 0.19/0.50 ; Retrieved 6 possibly forward subsuming rows in 20 calls.
% 0.19/0.50 ; Retrieved 4 possibly backward subsumed rows in 20 calls.
% 0.19/0.50 ; Path-index has 52 entries (52 at peak, 52 added, 0 deleted).
% 0.19/0.50 ; Path-index has 69 nodes (69 at peak, 69 added, 0 deleted).
% 0.19/0.50 ; Trie-index has 52 entries (52 at peak, 52 added, 0 deleted).
% 0.19/0.50 ; Trie-index has 61 nodes (61 at peak, 61 added, 0 deleted).
% 0.19/0.50 ; Retrieved 85 generalization terms in 89 calls.
% 0.19/0.50 ; Retrieved 24 instance terms in 18 calls.
% 0.19/0.50 ; Retrieved 914 unifiable terms in 275 calls.
% 0.19/0.50 ;
% 0.19/0.50 ; The agenda of rows to give has 10 entries:
% 0.19/0.50 ; 5 with value (4 6) 2 with value (4 9) 3 with value (4 10)
% 0.19/0.50 Evaluation took:
% 0.19/0.50 0.038 seconds of real time
% 0.19/0.50 0.0331 seconds of user run time
% 0.19/0.50 0.004863 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 2,222,752 bytes consed.
% 0.19/0.50 :PROOF-FOUND
% 0.19/0.50 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T18:20:47
% 0.19/0.50 :PROOF-FOUND
% 0.19/0.50 *
%------------------------------------------------------------------------------