%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO234+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n012.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 06:15:17 EDT 2022
% Result : Theorem 0.38s 0.55s
% Output : Refutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 11
% Syntax : Number of clauses : 20 ( 13 unt; 3 nHn; 17 RR)
% Number of literals : 30 ( 0 equ; 17 neg)
% Maximal clause size : 4 ( 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; 0-1 aty)
% Number of variables : 19 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ unequally_directed_opposite_lines(X,Y)
| unequally_directed_lines(X,reverse_line(Y)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax',a1_defns) ).
cnf(2,axiom,
( unequally_directed_opposite_lines(X,Y)
| ~ unequally_directed_lines(X,reverse_line(Y)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax',a1_defns) ).
cnf(7,axiom,
( ~ equally_directed_lines(X,Y)
| ~ unequally_directed_lines(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax',a4_defns) ).
cnf(38,axiom,
equally_directed_lines(X,X),
file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax',ax5_basics) ).
cnf(39,axiom,
( ~ unequally_directed_lines(X,Y)
| unequally_directed_lines(X,Z)
| unequally_directed_lines(Y,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax',ax6_basics) ).
cnf(42,axiom,
( unequally_directed_lines(X,Y)
| unequally_directed_lines(X,reverse_line(Y)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax',ax8_basics) ).
cnf(43,axiom,
( ~ unequally_directed_lines(X,Y)
| ~ unequally_directed_lines(X,reverse_line(Y))
| left_convergent_lines(X,Y)
| left_convergent_lines(X,reverse_line(Y)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax',ax9_basics) ).
cnf(45,axiom,
~ left_convergent_lines(X,Y),
file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax',ax11_basics) ).
cnf(60,negated_conjecture,
unequally_directed_opposite_lines('SKOLEMAAAV1','SKOLEMAAAV2'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
cnf(61,negated_conjecture,
~ unequally_directed_lines('SKOLEMAAAV1','SKOLEMAAAV3'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
cnf(62,negated_conjecture,
~ unequally_directed_opposite_lines('SKOLEMAAAV2','SKOLEMAAAV3'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
cnf(64,plain,
( ~ unequally_directed_lines(X,Y)
| ~ unequally_directed_lines(X,reverse_line(Y)) ),
inference('REWRITE',[status(thm)],[43,45]) ).
cnf(68,plain,
~ unequally_directed_lines(X,X),
inference('UR-RESOLVE',[status(thm)],[7,38]) ).
cnf(76,plain,
unequally_directed_lines('SKOLEMAAAV1',reverse_line('SKOLEMAAAV2')),
inference('HYPERRESOLVE',[status(thm)],[1,60]) ).
cnf(78,plain,
~ unequally_directed_lines('SKOLEMAAAV2',reverse_line('SKOLEMAAAV3')),
inference('UR-RESOLVE',[status(thm)],[2,62]) ).
cnf(93,plain,
~ unequally_directed_lines('SKOLEMAAAV3','SKOLEMAAAV1'),
inference('UR-RESOLVE',[status(thm)],[39,68,61]) ).
cnf(102,plain,
~ unequally_directed_lines('SKOLEMAAAV1','SKOLEMAAAV2'),
inference('UR-RESOLVE',[status(thm)],[64,76]) ).
cnf(111,plain,
~ unequally_directed_lines('SKOLEMAAAV2','SKOLEMAAAV1'),
inference('UR-RESOLVE',[status(thm)],[39,102,68]) ).
cnf(112,plain,
unequally_directed_lines('SKOLEMAAAV2','SKOLEMAAAV3'),
inference('HYPERRESOLVE',[status(thm)],[78,42]) ).
cnf(117,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[39,112,93]),111]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : GEO234+3 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.15 % Command : run-snark %s %d
% 0.15/0.36 % Computer : n012.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Fri Jun 17 21:15:38 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.21/0.48 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.49 *
% 0.21/0.49 *
% 0.21/0.50 #<PACKAGE "SNARK-USER">
% 0.21/0.50 *
% 0.21/0.50 SNARK-TPTP-OPTIONS
% 0.21/0.50 *
% 0.21/0.50 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.50 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.50 (USE-FACTORING :POS)
% 0.21/0.50 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.50 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.50 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.50 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.50 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.50 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.50 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.50 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.50 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.50 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.50 *
% 0.21/0.50 "."
% 0.21/0.50 *
% 0.21/0.50 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-17T21:15:38
% 0.21/0.50 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n012.cluster.edu at 2022-06-17T21:15:38
% 0.38/0.55
% 0.38/0.55
% 0.38/0.55 #||
% 0.38/0.55 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.38/0.55 % SZS output start Refutation
% See solution above
% 0.38/0.56 ||#
% 0.38/0.56
% 0.38/0.56 ; Summary of computation:
% 0.38/0.56 ; 192 formulas have been input or derived (from 59 formulas).
% 0.38/0.56 ; 117 (61%) were retained. Of these,
% 0.38/0.56 ; 24 (21%) were simplified or subsumed later,
% 0.38/0.56 ; 93 (79%) are still being kept.
% 0.38/0.56 ;
% 0.38/0.56 ; Run time in seconds excluding printing time:
% 0.38/0.56 ; 0.009 17% Read assertion file (1 call)
% 0.38/0.56 ; 0.000 0% Assert (37 calls)
% 0.38/0.56 ; 0.008 15% Process new row (174 calls)
% 0.38/0.56 ; 0.001 2% Resolution (116 calls)
% 0.38/0.56 ; 0.000 0% Paramodulation (58 calls)
% 0.38/0.56 ; 0.000 0% Factoring (3 calls)
% 0.38/0.56 ; 0.002 4% Condensing (67 calls)
% 0.38/0.56 ; 0.001 2% Forward subsumption (67 calls)
% 0.38/0.56 ; 0.001 2% Backward subsumption (63 calls)
% 0.38/0.56 ; 0.000 0% Clause clause subsumption (46 calls)
% 0.38/0.56 ; 0.002 4% Forward simplification (174 calls)
% 0.38/0.56 ; 0.002 4% Backward simplification (116 calls)
% 0.38/0.56 ; 0.000 0% Ordering (33 calls)
% 0.38/0.56 ; 0.000 0% Sortal reasoning (32 calls)
% 0.38/0.56 ; 0.000 0% Purity testing (1 call)
% 0.38/0.56 ; 0.028 52% Other
% 0.38/0.56 ; 0.054 Total
% 0.38/0.56 ; 0.057 Real time
% 0.38/0.56 ;
% 0.38/0.56 ; Term-hash-array has 122 terms in all.
% 0.38/0.56 ; Feature-vector-row-index has 41 entries (41 at peak, 63 added, 22 deleted).
% 0.38/0.56 ; Feature-vector-row-index has 87 nodes (87 at peak, 136 added, 49 deleted).
% 0.38/0.56 ; Retrieved 31 possibly forward subsuming rows in 67 calls.
% 0.38/0.56 ; Retrieved 22 possibly backward subsumed rows in 63 calls.
% 0.38/0.56 ; Path-index has 109 entries (109 at peak, 129 added, 20 deleted).
% 0.38/0.56 ; Path-index has 236 nodes (236 at peak, 255 added, 19 deleted).
% 0.38/0.56 ; Trie-index has 109 entries (109 at peak, 129 added, 20 deleted).
% 0.38/0.56 ; Trie-index has 191 nodes (191 at peak, 220 added, 29 deleted).
% 0.38/0.56 ; Retrieved 152 generalization terms in 160 calls.
% 0.38/0.56 ; Retrieved 85 instance terms in 52 calls.
% 0.38/0.56 ; Retrieved 816 unifiable terms in 319 calls.
% 0.38/0.56 ;
% 0.38/0.56 ; The agenda of rows to process has 9 entries:
% 0.38/0.56 ; 4 with value 7 3 with value 9 2 with value 11
% 0.38/0.56 ; The agenda of rows to give has 34 entries:
% 0.38/0.56 ; 7 with value (4 7) 3 with value (4 11) 1 with value (4 14)
% 0.38/0.56 ; 11 with value (4 8) 1 with value (4 12) 1 with value (4 15)
% 0.38/0.56 ; 2 with value (4 9) 3 with value (4 13) 1 with value (4 17)
% 0.38/0.56 ; 4 with value (4 10)
% 0.38/0.56 Evaluation took:
% 0.38/0.56 0.057 seconds of real time
% 0.38/0.56 0.046177 seconds of user run time
% 0.38/0.56 0.010991 seconds of system run time
% 0.38/0.56 0 calls to %EVAL
% 0.38/0.56 0 page faults and
% 0.38/0.56 3,525,456 bytes consed.
% 0.38/0.56 :PROOF-FOUND
% 0.38/0.56 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-17T21:15:39
% 0.38/0.56 :PROOF-FOUND
% 0.38/0.56 *
%------------------------------------------------------------------------------