TSTP Solution File: GEO222+2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO222+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n016.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 0.36s 0.53s
% Output : Refutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of clauses : 17 ( 11 unt; 5 nHn; 8 RR)
% Number of literals : 31 ( 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 : 32 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
~ convergent_lines(X,X),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',apart3) ).
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(14,axiom,
( ~ convergent_lines(X,Y)
| distinct_lines(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+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(32,plain,
convergent_lines(orthogonal_through_point(orthogonal_through_point('SKOLEMAAAV2','SKOLEMAAAV1'),'SKOLEMAAAV1'),'SKOLEMAAAV2'),
inference('UR-RESOLVE',[status(thm)],[6,25,3]) ).
cnf(38,plain,
distinct_lines(orthogonal_through_point(X,Y),X),
inference('HYPERRESOLVE',[status(thm)],[14,27]) ).
cnf(39,plain,
convergent_lines(X,orthogonal_through_point(X,Y)),
inference('UR-RESOLVE',[status(thm)],[6,27,3]) ).
cnf(54,plain,
unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(X,Y),Y),X),
inference('UR-RESOLVE',[status(thm)],[24,38,23,23,22]) ).
cnf(57,plain,
~ unorthogonal_lines(X,orthogonal_through_point(X,Y)),
inference('UR-RESOLVE',[status(thm)],[19,39,3,22]) ).
cnf(84,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[21,32,22,57]),54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO222+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.15/0.34 % Computer : n016.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 600
% 0.15/0.34 % DateTime : Sat Jun 18 07:35:22 EDT 2022
% 0.15/0.35 % 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 *
% 0.21/0.48 ((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/sandbox/benchmark/theBenchmark.p 2022-06-18T07:35:22
% 0.21/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n016.cluster.edu at 2022-06-18T07:35:22
% 0.36/0.53
% 0.36/0.53
% 0.36/0.53 #||
% 0.36/0.53 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.36/0.53 % SZS output start Refutation
% See solution above
% 0.36/0.53 ||#
% 0.36/0.53
% 0.36/0.53 ; Summary of computation:
% 0.36/0.53 ; 190 formulas have been input or derived (from 39 formulas).
% 0.36/0.53 ; 84 (44%) were retained. Of these,
% 0.36/0.53 ; 1 ( 1%) were simplified or subsumed later,
% 0.36/0.53 ; 83 (99%) are still being kept.
% 0.36/0.53 ;
% 0.36/0.53 ; Run time in seconds excluding printing time:
% 0.36/0.53 ; 0.006 12% Read assertion file (1 call)
% 0.36/0.53 ; 0.001 2% Assert (21 calls)
% 0.36/0.53 ; 0.008 16% Process new row (172 calls)
% 0.36/0.53 ; 0.007 14% Resolution (76 calls)
% 0.36/0.53 ; 0.000 0% Paramodulation (38 calls)
% 0.36/0.53 ; 0.000 0% Factoring (1 call)
% 0.36/0.53 ; 0.000 0% Condensing (29 calls)
% 0.36/0.53 ; 0.001 2% Forward subsumption (29 calls)
% 0.36/0.53 ; 0.000 0% Backward subsumption (25 calls)
% 0.36/0.53 ; 0.000 0% Clause clause subsumption (15 calls)
% 0.36/0.53 ; 0.002 4% Forward simplification (172 calls)
% 0.36/0.53 ; 0.000 0% Backward simplification (84 calls)
% 0.36/0.53 ; 0.001 2% Ordering (17 calls)
% 0.36/0.53 ; 0.000 0% Sortal reasoning (32 calls)
% 0.36/0.53 ; 0.000 0% Purity testing (1 call)
% 0.36/0.53 ; 0.023 47% Other
% 0.36/0.53 ; 0.049 Total
% 0.36/0.53 ; 0.050 Real time
% 0.36/0.53 ;
% 0.36/0.53 ; Term-hash-array has 132 terms in all.
% 0.36/0.53 ; Feature-vector-row-index has 25 entries (25 at peak, 25 added, 0 deleted).
% 0.36/0.53 ; Feature-vector-row-index has 72 nodes (72 at peak, 72 added, 0 deleted).
% 0.36/0.53 ; Retrieved 11 possibly forward subsuming rows in 29 calls.
% 0.36/0.53 ; Retrieved 4 possibly backward subsumed rows in 25 calls.
% 0.36/0.53 ; Path-index has 133 entries (133 at peak, 134 added, 1 deleted).
% 0.36/0.53 ; Path-index has 372 nodes (372 at peak, 374 added, 2 deleted).
% 0.36/0.53 ; Trie-index has 133 entries (133 at peak, 134 added, 1 deleted).
% 0.36/0.53 ; Trie-index has 363 nodes (363 at peak, 367 added, 4 deleted).
% 0.36/0.53 ; Retrieved 295 generalization terms in 231 calls.
% 0.36/0.53 ; Retrieved 71 instance terms in 58 calls.
% 0.36/0.53 ; Retrieved 2,597 unifiable terms in 544 calls.
% 0.36/0.53 ;
% 0.36/0.53 ; The agenda of rows to process has 9 entries:
% 0.36/0.53 ; 1 with value 14 1 with value 16 1 with value 19
% 0.36/0.54 ; 2 with value 15 1 with value 18 3 with value 26
% 0.36/0.54 ; The agenda of rows to give has 45 entries:
% 0.36/0.54 ; 2 with value (4 11) 5 with value (4 15) 6 with value (4 19)
% 0.36/0.54 ; 8 with value (4 12) 1 with value (4 16) 1 with value (4 25)
% 0.36/0.54 ; 7 with value (4 13) 4 with value (4 18) 1 with value (4 30)
% 0.36/0.54 ; 10 with value (4 14)
% 0.36/0.54 Evaluation took:
% 0.36/0.54 0.052 seconds of real time
% 0.36/0.54 0.045709 seconds of user run time
% 0.36/0.54 0.006176 seconds of system run time
% 0.36/0.54 0 calls to %EVAL
% 0.36/0.54 0 page faults and
% 0.36/0.54 3,275,200 bytes consed.
% 0.36/0.54 :PROOF-FOUND
% 0.36/0.54 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T07:35:22
% 0.36/0.54 :PROOF-FOUND
% 0.36/0.54 *
%------------------------------------------------------------------------------