%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO231+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 06:15:15 EDT 2022
% Result : Theorem 0.41s 0.56s
% Output : Refutation 0.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 12
% Syntax : Number of clauses : 21 ( 12 unt; 4 nHn; 18 RR)
% Number of literals : 33 ( 0 equ; 16 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 21 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ unequally_directed_opposite_lines(X,Y)
| unequally_directed_lines(X,reverse_line(Y)) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/GEO009+0.ax',a1_defns) ).
cnf(7,axiom,
( ~ equally_directed_lines(X,Y)
| ~ unequally_directed_lines(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',a4_defns) ).
cnf(9,axiom,
( ~ equally_directed_opposite_lines(X,Y)
| ~ unequally_directed_opposite_lines(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',a5_defns) ).
cnf(10,axiom,
( equally_directed_opposite_lines(X,Y)
| unequally_directed_opposite_lines(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',a5_defns) ).
cnf(39,axiom,
( ~ unequally_directed_lines(X,Y)
| unequally_directed_lines(X,Z)
| unequally_directed_lines(Y,Z) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/GEO009+0.ax',ax9_basics) ).
cnf(45,axiom,
~ left_convergent_lines(X,Y),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',ax11_basics) ).
cnf(60,negated_conjecture,
equally_directed_opposite_lines('SKOLEMAAAV1','SKOLEMAAAV2'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
cnf(61,negated_conjecture,
equally_directed_lines('SKOLEMAAAV1','SKOLEMAAAV3'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
cnf(62,negated_conjecture,
~ equally_directed_opposite_lines('SKOLEMAAAV2','SKOLEMAAAV3'),
file('/export/starexec/sandbox2/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('SKOLEMAAAV1','SKOLEMAAAV3'),
inference('UR-RESOLVE',[status(thm)],[7,61]) ).
cnf(71,plain,
~ unequally_directed_opposite_lines('SKOLEMAAAV1','SKOLEMAAAV2'),
inference('UR-RESOLVE',[status(thm)],[9,60]) ).
cnf(72,plain,
unequally_directed_opposite_lines('SKOLEMAAAV2','SKOLEMAAAV3'),
inference('UR-RESOLVE',[status(thm)],[10,62]) ).
cnf(93,plain,
~ unequally_directed_lines('SKOLEMAAAV1',reverse_line('SKOLEMAAAV2')),
inference('UR-RESOLVE',[status(thm)],[2,71]) ).
cnf(94,plain,
unequally_directed_lines('SKOLEMAAAV2',reverse_line('SKOLEMAAAV3')),
inference('HYPERRESOLVE',[status(thm)],[1,72]) ).
cnf(137,plain,
unequally_directed_lines('SKOLEMAAAV1','SKOLEMAAAV2'),
inference('HYPERRESOLVE',[status(thm)],[93,42]) ).
cnf(146,plain,
unequally_directed_lines('SKOLEMAAAV2','SKOLEMAAAV3'),
inference('UR-RESOLVE',[status(thm)],[39,137,68]) ).
cnf(151,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[64,94]),146]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : GEO231+3 : TPTP v8.1.0. Released v4.0.0.
% 0.13/0.14 % 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 18:50:08 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.22/0.49 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.50 *
% 0.22/0.50 *
% 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/sandbox2/benchmark/theBenchmark.p 2022-06-17T18:50:09
% 0.22/0.50 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n012.cluster.edu at 2022-06-17T18:50:09
% 0.41/0.56
% 0.41/0.56
% 0.41/0.56 #||
% 0.41/0.56 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.41/0.56 % SZS output start Refutation
% See solution above
% 0.41/0.57 ||#
% 0.41/0.57
% 0.41/0.57 ; Summary of computation:
% 0.41/0.57 ; 269 formulas have been input or derived (from 67 formulas).
% 0.41/0.57 ; 151 (56%) were retained. Of these,
% 0.41/0.57 ; 25 (17%) were simplified or subsumed later,
% 0.41/0.57 ; 126 (83%) are still being kept.
% 0.41/0.57 ;
% 0.41/0.57 ; Run time in seconds excluding printing time:
% 0.41/0.57 ; 0.010 17% Read assertion file (1 call)
% 0.41/0.57 ; 0.002 3% Assert (37 calls)
% 0.41/0.57 ; 0.011 19% Process new row (246 calls)
% 0.41/0.57 ; 0.008 14% Resolution (132 calls)
% 0.41/0.57 ; 0.001 2% Paramodulation (66 calls)
% 0.41/0.57 ; 0.000 0% Factoring (3 calls)
% 0.41/0.57 ; 0.000 0% Condensing (72 calls)
% 0.41/0.57 ; 0.001 2% Forward subsumption (72 calls)
% 0.41/0.57 ; 0.001 2% Backward subsumption (67 calls)
% 0.41/0.57 ; 0.001 2% Clause clause subsumption (57 calls)
% 0.41/0.57 ; 0.002 3% Forward simplification (246 calls)
% 0.41/0.57 ; 0.001 2% Backward simplification (150 calls)
% 0.41/0.57 ; 0.000 0% Ordering (39 calls)
% 0.41/0.57 ; 0.000 0% Sortal reasoning (32 calls)
% 0.41/0.57 ; 0.000 0% Purity testing (1 call)
% 0.41/0.57 ; 0.021 36% Other
% 0.41/0.57 ; 0.059 Total
% 0.41/0.57 ; 0.062 Real time
% 0.41/0.57 ;
% 0.41/0.57 ; Term-hash-array has 164 terms in all.
% 0.41/0.57 ; Feature-vector-row-index has 44 entries (45 at peak, 67 added, 23 deleted).
% 0.41/0.57 ; Feature-vector-row-index has 90 nodes (96 at peak, 138 added, 48 deleted).
% 0.41/0.57 ; Retrieved 39 possibly forward subsuming rows in 72 calls.
% 0.41/0.57 ; Retrieved 28 possibly backward subsumed rows in 67 calls.
% 0.41/0.57 ; Path-index has 150 entries (151 at peak, 171 added, 21 deleted).
% 0.41/0.57 ; Path-index has 293 nodes (294 at peak, 313 added, 20 deleted).
% 0.41/0.57 ; Trie-index has 150 entries (151 at peak, 171 added, 21 deleted).
% 0.41/0.57 ; Trie-index has 273 nodes (275 at peak, 306 added, 33 deleted).
% 0.41/0.57 ; Retrieved 264 generalization terms in 237 calls.
% 0.41/0.57 ; Retrieved 135 instance terms in 82 calls.
% 0.41/0.57 ; Retrieved 1,318 unifiable terms in 436 calls.
% 0.41/0.57 ;
% 0.41/0.57 ; The agenda of rows to process has 8 entries:
% 0.41/0.57 ; 1 with value 7 2 with value 11 1 with value 15
% 0.41/0.57 ; 3 with value 9 1 with value 13
% 0.41/0.57 ; The agenda of rows to give has 59 entries:
% 0.41/0.57 ; 1 with value (4 7) 11 with value (4 10) 4 with value (4 13)
% 0.41/0.57 ; 9 with value (4 8) 11 with value (4 11) 3 with value (4 15)
% 0.41/0.57 ; 14 with value (4 9) 5 with value (4 12) 1 with value (4 17)
% 0.41/0.57 Evaluation took:
% 0.41/0.57 0.063 seconds of real time
% 0.41/0.57 0.057019 seconds of user run time
% 0.41/0.57 0.005656 seconds of system run time
% 0.41/0.57 0 calls to %EVAL
% 0.41/0.57 0 page faults and
% 0.41/0.57 3,831,984 bytes consed.
% 0.41/0.57 :PROOF-FOUND
% 0.41/0.57 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T18:50:09
% 0.41/0.57 :PROOF-FOUND
% 0.41/0.57 *
%------------------------------------------------------------------------------