%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO268+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 06:15:35 EDT 2022
% Result : Theorem 0.20s 0.56s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 11
% Syntax : Number of clauses : 21 ( 8 unt; 8 nHn; 15 RR)
% Number of literals : 37 ( 0 equ; 14 neg)
% Maximal clause size : 4 ( 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; 0-1 aty)
% Number of variables : 24 ( 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(8,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_lines('SKOLEMAAAV1','SKOLEMAAAV2')
| ~ unequally_directed_opposite_lines('SKOLEMAAAV1',reverse_line('SKOLEMAAAV2')) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
cnf(61,negated_conjecture,
( unequally_directed_lines('SKOLEMAAAV1','SKOLEMAAAV2')
| unequally_directed_opposite_lines('SKOLEMAAAV1',reverse_line('SKOLEMAAAV2')) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
cnf(63,plain,
( ~ unequally_directed_lines(X,Y)
| ~ unequally_directed_lines(X,reverse_line(Y)) ),
inference('REWRITE',[status(thm)],[43,45]) ).
cnf(72,plain,
unequally_directed_lines(reverse_line(X),X),
inference('HYPERRESOLVE',[status(thm)],[7,42,38]) ).
cnf(73,plain,
( unequally_directed_lines(X,Y)
| unequally_directed_opposite_lines(X,Y) ),
inference('HYPERRESOLVE',[status(thm)],[2,42]) ).
cnf(76,plain,
( unequally_directed_lines('SKOLEMAAAV1','SKOLEMAAAV2')
| unequally_directed_lines('SKOLEMAAAV1',reverse_line(reverse_line('SKOLEMAAAV2'))) ),
inference('HYPERRESOLVE',[status(thm)],[1,61]) ).
cnf(93,plain,
~ unequally_directed_lines(reverse_line(reverse_line(X)),X),
inference('UR-RESOLVE',[status(thm)],[63,72]) ).
cnf(115,plain,
( unequally_directed_lines('SKOLEMAAAV1',reverse_line('SKOLEMAAAV2'))
| equally_directed_lines('SKOLEMAAAV1','SKOLEMAAAV2') ),
inference('HYPERRESOLVE',[status(thm)],[60,73,8]) ).
cnf(232,plain,
equally_directed_lines('SKOLEMAAAV1','SKOLEMAAAV2'),
inference('HYPERRESOLVE',[status(thm)],[63,115,8]) ).
cnf(233,plain,
~ unequally_directed_lines('SKOLEMAAAV1','SKOLEMAAAV2'),
inference('UR-RESOLVE',[status(thm)],[7,232]) ).
cnf(235,plain,
unequally_directed_lines('SKOLEMAAAV1',reverse_line(reverse_line('SKOLEMAAAV2'))),
inference('REWRITE',[status(thm)],[76,233]) ).
cnf(246,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[39,233,93]),235]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO268+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n026.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sat Jun 18 12:33:24 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T12:33:24
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-18T12:33:24
% 0.20/0.56
% 0.20/0.56
% 0.20/0.56 #||
% 0.20/0.56 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.56 % SZS output start Refutation
% See solution above
% 0.20/0.56 ||#
% 0.20/0.56
% 0.20/0.56 ; Summary of computation:
% 0.20/0.56 ; 668 formulas have been input or derived (from 105 formulas).
% 0.20/0.56 ; 246 (37%) were retained. Of these,
% 0.20/0.56 ; 43 (17%) were simplified or subsumed later,
% 0.20/0.56 ; 203 (83%) are still being kept.
% 0.20/0.56 ;
% 0.20/0.56 ; Run time in seconds excluding printing time:
% 0.20/0.56 ; 0.009 10% Read assertion file (1 call)
% 0.20/0.56 ; 0.001 1% Assert (37 calls)
% 0.20/0.56 ; 0.017 19% Process new row (634 calls)
% 0.20/0.56 ; 0.014 16% Resolution (208 calls)
% 0.20/0.56 ; 0.000 0% Paramodulation (104 calls)
% 0.20/0.56 ; 0.000 0% Factoring (13 calls)
% 0.20/0.56 ; 0.003 3% Condensing (138 calls)
% 0.20/0.56 ; 0.003 3% Forward subsumption (138 calls)
% 0.20/0.56 ; 0.003 3% Backward subsumption (95 calls)
% 0.20/0.56 ; 0.002 2% Clause clause subsumption (149 calls)
% 0.20/0.56 ; 0.004 4% Forward simplification (623 calls)
% 0.20/0.56 ; 0.003 3% Backward simplification (245 calls)
% 0.20/0.56 ; 0.000 0% Ordering (87 calls)
% 0.20/0.56 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.56 ; 0.001 1% Purity testing (1 call)
% 0.20/0.56 ; 0.029 33% Other
% 0.20/0.56 ; 0.089 Total
% 0.20/0.56 ; 0.091 Real time
% 0.20/0.56 ;
% 0.20/0.56 ; Term-hash-array has 254 terms in all.
% 0.20/0.56 ; Feature-vector-row-index has 54 entries (68 at peak, 95 added, 41 deleted).
% 0.20/0.56 ; Feature-vector-row-index has 93 nodes (180 at peak, 235 added, 142 deleted).
% 0.20/0.56 ; Retrieved 175 possibly forward subsuming rows in 138 calls.
% 0.20/0.56 ; Retrieved 44 possibly backward subsumed rows in 95 calls.
% 0.20/0.56 ; Path-index has 234 entries (234 at peak, 267 added, 33 deleted).
% 0.20/0.56 ; Path-index has 498 nodes (498 at peak, 529 added, 31 deleted).
% 0.20/0.56 ; Trie-index has 234 entries (234 at peak, 267 added, 33 deleted).
% 0.20/0.56 ; Trie-index has 559 nodes (559 at peak, 615 added, 56 deleted).
% 0.20/0.56 ; Retrieved 1,141 generalization terms in 713 calls.
% 0.20/0.56 ; Retrieved 199 instance terms in 149 calls.
% 0.20/0.56 ; Retrieved 4,252 unifiable terms in 805 calls.
% 0.20/0.56 ;
% 0.20/0.56 ; The agenda of rows to process has 4 entries:
% 0.20/0.56 ; 1 with value 13 2 with value 14 1 with value 15
% 0.20/0.56 ; The agenda of rows to give has 103 entries:
% 0.20/0.56 ; 1 with value (4 8) 18 with value (4 13) 14 with value (4 16)
% 0.20/0.56 ; 5 with value (4 9) 16 with value (4 14) 10 with value (4 17)
% 0.20/0.56 ; 1 with value (4 11) 18 with value (4 15) 2 with value (4 18)
% 0.20/0.56 ; 18 with value (4 12)
% 0.20/0.56 Evaluation took:
% 0.20/0.56 0.092 seconds of real time
% 0.20/0.56 0.079152 seconds of user run time
% 0.20/0.56 0.012919 seconds of system run time
% 0.20/0.56 0 calls to %EVAL
% 0.20/0.56 0 page faults and
% 0.20/0.56 5,192,168 bytes consed.
% 0.20/0.56 :PROOF-FOUND
% 0.20/0.56 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T12:33:25
% 0.20/0.56 :PROOF-FOUND
% 0.20/0.56 *
%------------------------------------------------------------------------------