%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO266+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 0.19s 0.56s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 13
% Syntax : Number of clauses : 29 ( 7 unt; 16 nHn; 17 RR)
% Number of literals : 55 ( 0 equ; 15 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 : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 38 ( 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(9,axiom,
( ~ equally_directed_opposite_lines(X,Y)
| ~ unequally_directed_opposite_lines(X,Y) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GEO009+0.ax',a5_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('SKOLEMAAAN1','SKOLEMAAAN2')
| ~ unequally_directed_opposite_lines('SKOLEMAAAN2','SKOLEMAAAN1') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
cnf(61,negated_conjecture,
( unequally_directed_opposite_lines('SKOLEMAAAN1','SKOLEMAAAN2')
| unequally_directed_opposite_lines('SKOLEMAAAN2','SKOLEMAAAN1') ),
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(73,plain,
( equally_directed_opposite_lines(X,Y)
| unequally_directed_lines(X,reverse_line(Y)) ),
inference('HYPERRESOLVE',[status(thm)],[1,10]) ).
cnf(75,plain,
unequally_directed_lines(reverse_line(X),X),
inference('HYPERRESOLVE',[status(thm)],[7,42,38]) ).
cnf(76,plain,
( unequally_directed_lines(X,Y)
| unequally_directed_opposite_lines(X,Y) ),
inference('HYPERRESOLVE',[status(thm)],[2,42]) ).
cnf(85,plain,
( equally_directed_lines(X,Y)
| unequally_directed_lines(X,Z)
| unequally_directed_lines(Y,Z) ),
inference('HYPERRESOLVE',[status(thm)],[39,8]) ).
cnf(97,plain,
( unequally_directed_lines(reverse_line(X),Y)
| unequally_directed_lines(X,Y) ),
inference('HYPERRESOLVE',[status(thm)],[39,75]) ).
cnf(117,plain,
( unequally_directed_lines('SKOLEMAAAN1','SKOLEMAAAN2')
| unequally_directed_lines('SKOLEMAAAN2','SKOLEMAAAN1') ),
inference('HYPERRESOLVE',[status(thm)],[60,76,76]) ).
cnf(169,plain,
( equally_directed_opposite_lines(X,Y)
| equally_directed_lines(X,Y) ),
inference('HYPERRESOLVE',[status(thm)],[63,73,8]) ).
cnf(179,plain,
( equally_directed_lines('SKOLEMAAAN1','SKOLEMAAAN2')
| unequally_directed_opposite_lines('SKOLEMAAAN2','SKOLEMAAAN1') ),
inference('HYPERRESOLVE',[status(thm)],[9,169,61]) ).
cnf(226,plain,
( equally_directed_lines('SKOLEMAAAN1','SKOLEMAAAN2')
| equally_directed_lines('SKOLEMAAAN2','SKOLEMAAAN1') ),
inference('HYPERRESOLVE',[status(thm)],[9,179,169]) ).
cnf(307,plain,
( equally_directed_lines(X,Y)
| unequally_directed_lines(Y,X) ),
inference('HYPERRESOLVE',[status(thm)],[7,85,38]) ).
cnf(386,plain,
equally_directed_lines('SKOLEMAAAN2','SKOLEMAAAN1'),
inference('HYPERRESOLVE',[status(thm)],[7,307,226]) ).
cnf(393,plain,
( equally_directed_lines(reverse_line('SKOLEMAAAN2'),'SKOLEMAAAN1')
| unequally_directed_lines('SKOLEMAAAN2','SKOLEMAAAN1') ),
inference('HYPERRESOLVE',[status(thm)],[63,307,117]) ).
cnf(409,plain,
~ unequally_directed_lines('SKOLEMAAAN2','SKOLEMAAAN1'),
inference('UR-RESOLVE',[status(thm)],[7,386]) ).
cnf(416,plain,
equally_directed_lines(reverse_line('SKOLEMAAAN2'),'SKOLEMAAAN1'),
inference('REWRITE',[status(thm)],[393,409]) ).
cnf(440,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[7,416,97]),409]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GEO266+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 18 05:39:09 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T05:39:09
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-18T05:39:09
% 0.19/0.56
% 0.19/0.56
% 0.19/0.56 #||
% 0.19/0.56 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.56 % SZS output start Refutation
% See solution above
% 0.19/0.56 ||#
% 0.19/0.56
% 0.19/0.56 ; Summary of computation:
% 0.19/0.56 ; 1364 formulas have been input or derived (from 133 formulas).
% 0.19/0.56 ; 440 (32%) were retained. Of these,
% 0.19/0.56 ; 103 (23%) were simplified or subsumed later,
% 0.19/0.56 ; 337 (77%) are still being kept.
% 0.19/0.56 ;
% 0.19/0.56 ; Run time in seconds excluding printing time:
% 0.19/0.56 ; 0.005 5% Read assertion file (1 call)
% 0.19/0.56 ; 0.001 1% Assert (37 calls)
% 0.19/0.56 ; 0.015 16% Process new row (1,307 calls)
% 0.19/0.56 ; 0.018 20% Resolution (264 calls)
% 0.19/0.56 ; 0.001 1% Paramodulation (132 calls)
% 0.19/0.56 ; 0.001 1% Factoring (24 calls)
% 0.19/0.56 ; 0.005 5% Condensing (467 calls)
% 0.19/0.56 ; 0.005 5% Forward subsumption (467 calls)
% 0.19/0.56 ; 0.002 2% Backward subsumption (240 calls)
% 0.19/0.56 ; 0.007 8% Clause clause subsumption (1,726 calls)
% 0.19/0.56 ; 0.011 12% Forward simplification (1,305 calls)
% 0.19/0.56 ; 0.003 3% Backward simplification (439 calls)
% 0.19/0.56 ; 0.001 1% Ordering (718 calls)
% 0.19/0.56 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.56 ; 0.000 0% Purity testing (1 call)
% 0.19/0.56 ; 0.016 18% Other
% 0.19/0.56 ; 0.091 Total
% 0.19/0.56 ; 0.094 Real time
% 0.19/0.56 ;
% 0.19/0.56 ; Term-hash-array has 398 terms in all.
% 0.19/0.56 ; Feature-vector-row-index has 139 entries (192 at peak, 240 added, 101 deleted).
% 0.19/0.56 ; Feature-vector-row-index has 164 nodes (419 at peak, 525 added, 361 deleted).
% 0.19/0.56 ; Retrieved 1,871 possibly forward subsuming rows in 467 calls.
% 0.19/0.56 ; Retrieved 494 possibly backward subsumed rows in 240 calls.
% 0.19/0.56 ; Path-index has 378 entries (378 at peak, 420 added, 42 deleted).
% 0.19/0.56 ; Path-index has 615 nodes (615 at peak, 652 added, 37 deleted).
% 0.19/0.56 ; Trie-index has 378 entries (378 at peak, 420 added, 42 deleted).
% 0.19/0.56 ; Trie-index has 743 nodes (743 at peak, 807 added, 64 deleted).
% 0.19/0.56 ; Retrieved 2,910 generalization terms in 1,917 calls.
% 0.19/0.56 ; Retrieved 260 instance terms in 198 calls.
% 0.19/0.56 ; Retrieved 7,758 unifiable terms in 1,131 calls.
% 0.19/0.56 ;
% 0.19/0.56 ; The agenda of rows to process has 7 entries:
% 0.19/0.56 ; 3 with value 10 1 with value 13 2 with value 14
% 0.19/0.56 ; 1 with value 11
% 0.19/0.56 ; The agenda of rows to give has 215 entries:
% 0.19/0.56 ; 2 with value (4 9) 41 with value (4 13) 27 with value (4 17)
% 0.19/0.56 ; 5 with value (4 10) 29 with value (4 14) 19 with value (4 18)
% 0.19/0.56 ; 6 with value (4 11) 36 with value (4 15) 15 with value (4 19)
% 0.19/0.56 ; 2 with value (4 12) 27 with value (4 16) 6 with value (4 20)
% 0.19/0.56 Evaluation took:
% 0.19/0.56 0.094 seconds of real time
% 0.19/0.56 0.077012 seconds of user run time
% 0.19/0.56 0.017109 seconds of system run time
% 0.19/0.56 0 calls to %EVAL
% 0.19/0.56 0 page faults and
% 0.19/0.56 9,401,520 bytes consed.
% 0.19/0.56 :PROOF-FOUND
% 0.19/0.56 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T05:39:09
% 0.19/0.56 :PROOF-FOUND
% 0.19/0.56 *
%------------------------------------------------------------------------------