TSTP Solution File: GEO222+1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO222+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n019.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 06:15:09 EDT 2022
% Result : Theorem 0.40s 0.55s
% Output : Refutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of clauses : 17 ( 11 unt; 6 nHn; 7 RR)
% Number of literals : 32 ( 0 equ; 11 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 3 ( 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 : 33 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
~ convergent_lines(X,X),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',apart3) ).
cnf(6,axiom,
( ~ convergent_lines(X,Y)
| convergent_lines(X,Z)
| convergent_lines(Y,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ax6) ).
cnf(14,axiom,
( ~ convergent_lines(X,Y)
| distinct_lines(Y,Z)
| convergent_lines(X,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ceq3) ).
cnf(18,axiom,
( convergent_lines(X,Y)
| unorthogonal_lines(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+3.ax',occu1) ).
cnf(19,axiom,
( ~ convergent_lines(X,Y)
| ~ unorthogonal_lines(X,Y)
| convergent_lines(X,Z)
| unorthogonal_lines(Y,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+3.ax',oac1) ).
cnf(21,axiom,
( ~ convergent_lines(X,Y)
| ~ unorthogonal_lines(X,Y)
| unorthogonal_lines(X,Z)
| unorthogonal_lines(Y,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+3.ax',oac1) ).
cnf(22,axiom,
~ unorthogonal_lines(orthogonal_through_point(X,Y),X),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+3.ax',ooc1) ).
cnf(23,axiom,
~ apart_point_and_line(X,orthogonal_through_point(Y,X)),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+3.ax',ooc2) ).
cnf(24,axiom,
( ~ distinct_lines(X,Y)
| apart_point_and_line(Z,X)
| apart_point_and_line(Z,Y)
| unorthogonal_lines(X,U)
| unorthogonal_lines(Y,U) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+3.ax',ouo1) ).
cnf(25,negated_conjecture,
convergent_lines('SKOLEMAAAV2',orthogonal_through_point(orthogonal_through_point('SKOLEMAAAV2','SKOLEMAAAV1'),'SKOLEMAAAV1')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
cnf(27,plain,
convergent_lines(orthogonal_through_point(X,Y),X),
inference('HYPERRESOLVE',[status(thm)],[22,18]) ).
cnf(33,plain,
convergent_lines(orthogonal_through_point(orthogonal_through_point('SKOLEMAAAV2','SKOLEMAAAV1'),'SKOLEMAAAV1'),'SKOLEMAAAV2'),
inference('UR-RESOLVE',[status(thm)],[6,25,3]) ).
cnf(39,plain,
distinct_lines(X,orthogonal_through_point(X,Y)),
inference('UR-RESOLVE',[status(thm)],[14,27,3]) ).
cnf(40,plain,
convergent_lines(X,orthogonal_through_point(X,Y)),
inference('UR-RESOLVE',[status(thm)],[6,27,3]) ).
cnf(58,plain,
unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(X,Y),Y),X),
inference('UR-RESOLVE',[status(thm)],[24,39,23,23,22]) ).
cnf(61,plain,
~ unorthogonal_lines(X,orthogonal_through_point(X,Y)),
inference('UR-RESOLVE',[status(thm)],[19,40,3,22]) ).
cnf(82,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[21,33,22,61]),58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GEO222+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.14 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n019.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
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Fri Jun 17 21:02:39 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.22/0.48 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.49 *
% 0.22/0.49 *
% 0.22/0.50 #<PACKAGE "SNARK-USER">
% 0.22/0.50 *
% 0.22/0.50 SNARK-TPTP-OPTIONS
% 0.22/0.50 *
% 0.22/0.50 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.50 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.50 (USE-FACTORING :POS)
% 0.22/0.50 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.50 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.50 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.50 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.50 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.50 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.50 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.50 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.50 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.50 (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.50 *
% 0.22/0.50 "."
% 0.22/0.50 *
% 0.22/0.50 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-17T21:02:39
% 0.22/0.50 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-06-17T21:02:39
% 0.40/0.55
% 0.40/0.55
% 0.40/0.55 #||
% 0.40/0.55 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.40/0.55 % SZS output start Refutation
% See solution above
% 0.40/0.55 ||#
% 0.40/0.55
% 0.40/0.55 ; Summary of computation:
% 0.40/0.55 ; 183 formulas have been input or derived (from 37 formulas).
% 0.40/0.55 ; 82 (45%) were retained. Of these,
% 0.40/0.55 ; 82 (100%) are still being kept.
% 0.40/0.55 ;
% 0.40/0.55 ; Run time in seconds excluding printing time:
% 0.40/0.55 ; 0.007 14% Read assertion file (1 call)
% 0.40/0.55 ; 0.001 2% Assert (23 calls)
% 0.40/0.55 ; 0.005 10% Process new row (165 calls)
% 0.40/0.55 ; 0.005 10% Resolution (72 calls)
% 0.40/0.55 ; 0.000 0% Paramodulation (36 calls)
% 0.40/0.55 ; 0.000 0% Factoring (1 call)
% 0.40/0.55 ; 0.000 0% Condensing (28 calls)
% 0.40/0.55 ; 0.001 2% Forward subsumption (28 calls)
% 0.40/0.55 ; 0.001 2% Backward subsumption (24 calls)
% 0.40/0.55 ; 0.000 0% Clause clause subsumption (17 calls)
% 0.40/0.55 ; 0.003 6% Forward simplification (165 calls)
% 0.40/0.55 ; 0.000 0% Backward simplification (82 calls)
% 0.40/0.55 ; 0.000 0% Ordering (14 calls)
% 0.40/0.55 ; 0.000 0% Sortal reasoning (32 calls)
% 0.40/0.55 ; 0.000 0% Purity testing (1 call)
% 0.40/0.55 ; 0.026 53% Other
% 0.40/0.55 ; 0.049 Total
% 0.40/0.55 ; 0.051 Real time
% 0.40/0.55 ;
% 0.40/0.55 ; Term-hash-array has 122 terms in all.
% 0.40/0.55 ; Feature-vector-row-index has 24 entries (24 at peak, 24 added, 0 deleted).
% 0.40/0.55 ; Feature-vector-row-index has 60 nodes (60 at peak, 60 added, 0 deleted).
% 0.40/0.55 ; Retrieved 10 possibly forward subsuming rows in 28 calls.
% 0.40/0.55 ; Retrieved 7 possibly backward subsumed rows in 24 calls.
% 0.40/0.55 ; Path-index has 124 entries (124 at peak, 124 added, 0 deleted).
% 0.40/0.55 ; Path-index has 347 nodes (347 at peak, 347 added, 0 deleted).
% 0.40/0.55 ; Trie-index has 124 entries (124 at peak, 124 added, 0 deleted).
% 0.40/0.55 ; Trie-index has 342 nodes (342 at peak, 342 added, 0 deleted).
% 0.40/0.55 ; Retrieved 287 generalization terms in 216 calls.
% 0.40/0.55 ; Retrieved 74 instance terms in 57 calls.
% 0.40/0.55 ; Retrieved 2,491 unifiable terms in 513 calls.
% 0.40/0.55 ;
% 0.40/0.55 ; The agenda of rows to process has 10 entries:
% 0.40/0.55 ; 1 with value 14 2 with value 16 3 with value 26
% 0.40/0.55 ; 3 with value 15 1 with value 19
% 0.40/0.55 ; The agenda of rows to give has 45 entries:
% 0.40/0.55 ; 3 with value (4 11) 12 with value (4 14) 6 with value (4 19)
% 0.40/0.55 ; 8 with value (4 12) 5 with value (4 15) 1 with value (4 25)
% 0.40/0.55 ; 7 with value (4 13) 3 with value (4 18)
% 0.40/0.55 Evaluation took:
% 0.40/0.55 0.052 seconds of real time
% 0.40/0.55 0.046422 seconds of user run time
% 0.40/0.55 0.005026 seconds of system run time
% 0.40/0.55 0 calls to %EVAL
% 0.40/0.55 0 page faults and
% 0.40/0.55 3,247,056 bytes consed.
% 0.40/0.55 :PROOF-FOUND
% 0.40/0.55 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-17T21:02:39
% 0.40/0.55 :PROOF-FOUND
% 0.40/0.55 *
%------------------------------------------------------------------------------