TSTP Solution File: GEO254+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO254+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n008.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 06:15:28 EDT 2022
% Result : Theorem 1.89s 2.08s
% Output : Refutation 1.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of clauses : 28 ( 11 unt; 15 nHn; 14 RR)
% Number of literals : 62 ( 0 equ; 17 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 39 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(19,axiom,
( before_on_line(X,Y,Z)
| ~ distinct_points(Y,Z)
| left_apart_point(Y,X)
| left_apart_point(Y,reverse_line(X))
| left_apart_point(Z,X)
| left_apart_point(Z,reverse_line(X))
| unequally_directed_lines(X,line_connecting(Y,Z)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',bf_def) ).
cnf(26,axiom,
~ distinct_points(X,X),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oag1) ).
cnf(27,axiom,
( ~ distinct_points(X,Y)
| distinct_points(X,Z)
| distinct_points(Y,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oag2) ).
cnf(30,axiom,
~ unequally_directed_lines(X,X),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oag5) ).
cnf(31,axiom,
( ~ unequally_directed_lines(X,Y)
| unequally_directed_lines(X,Z)
| unequally_directed_lines(Y,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oag6) ).
cnf(35,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/GEO007+0.ax',oag9) ).
cnf(36,axiom,
~ left_apart_point(X,Y),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oag10) ).
cnf(37,axiom,
~ left_convergent_lines(X,Y),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oag11) ).
cnf(48,axiom,
~ unequally_directed_lines(line_connecting(X,Y),reverse_line(line_connecting(Y,X))),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oagco9) ).
cnf(52,negated_conjecture,
distinct_points('SKOLEMAAAV1','SKOLEMAAAV2'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
cnf(55,negated_conjecture,
( ~ before_on_line('SKOLEMAAAV3','SKOLEMAAAV1','SKOLEMAAAV2')
| ~ before_on_line('SKOLEMAAAV3','SKOLEMAAAV2','SKOLEMAAAV1') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
cnf(56,plain,
( ~ unequally_directed_lines(X,Y)
| ~ unequally_directed_lines(X,reverse_line(Y)) ),
inference('REWRITE',[status(thm)],[35,37]) ).
cnf(58,plain,
( before_on_line(X,Y,Z)
| ~ distinct_points(Y,Z)
| unequally_directed_lines(X,line_connecting(Y,Z)) ),
inference('REWRITE',[status(thm)],[19,36]) ).
cnf(68,plain,
distinct_points('SKOLEMAAAV2','SKOLEMAAAV1'),
inference('UR-RESOLVE',[status(thm)],[27,52,26]) ).
cnf(72,plain,
~ unequally_directed_lines(reverse_line(line_connecting(X,Y)),line_connecting(Y,X)),
inference('UR-RESOLVE',[status(thm)],[31,30,48]) ).
cnf(78,plain,
( before_on_line(X,'SKOLEMAAAV1','SKOLEMAAAV2')
| unequally_directed_lines(X,line_connecting('SKOLEMAAAV1','SKOLEMAAAV2')) ),
inference('HYPERRESOLVE',[status(thm)],[58,52]) ).
cnf(81,plain,
( before_on_line(X,'SKOLEMAAAV2','SKOLEMAAAV1')
| unequally_directed_lines(X,line_connecting('SKOLEMAAAV2','SKOLEMAAAV1')) ),
inference('HYPERRESOLVE',[status(thm)],[58,68]) ).
cnf(119,plain,
( unequally_directed_lines('SKOLEMAAAV3',line_connecting('SKOLEMAAAV2','SKOLEMAAAV1'))
| unequally_directed_lines('SKOLEMAAAV3',line_connecting('SKOLEMAAAV1','SKOLEMAAAV2')) ),
inference('HYPERRESOLVE',[status(thm)],[55,81,78]) ).
cnf(192,plain,
( unequally_directed_lines('SKOLEMAAAV3',line_connecting('SKOLEMAAAV1','SKOLEMAAAV2'))
| unequally_directed_lines('SKOLEMAAAV3',X)
| unequally_directed_lines(line_connecting('SKOLEMAAAV2','SKOLEMAAAV1'),X) ),
inference('HYPERRESOLVE',[status(thm)],[31,119]) ).
cnf(441,plain,
( unequally_directed_lines('SKOLEMAAAV3',X)
| unequally_directed_lines(line_connecting('SKOLEMAAAV2','SKOLEMAAAV1'),X)
| unequally_directed_lines('SKOLEMAAAV3',Y)
| unequally_directed_lines(line_connecting('SKOLEMAAAV1','SKOLEMAAAV2'),Y) ),
inference('HYPERRESOLVE',[status(thm)],[31,192]) ).
cnf(1419,plain,
( unequally_directed_lines('SKOLEMAAAV3',X)
| unequally_directed_lines(line_connecting('SKOLEMAAAV2','SKOLEMAAAV1'),X)
| unequally_directed_lines(line_connecting('SKOLEMAAAV1','SKOLEMAAAV2'),X) ),
inference('FACTOR',[status(thm)],[441]) ).
cnf(1452,plain,
( unequally_directed_lines('SKOLEMAAAV3',X)
| unequally_directed_lines(line_connecting('SKOLEMAAAV1','SKOLEMAAAV2'),X)
| unequally_directed_lines('SKOLEMAAAV3',reverse_line(X)) ),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[56,1419,441])]) ).
cnf(1456,plain,
( unequally_directed_lines('SKOLEMAAAV3',reverse_line(X))
| unequally_directed_lines(line_connecting('SKOLEMAAAV1','SKOLEMAAAV2'),reverse_line(X))
| unequally_directed_lines('SKOLEMAAAV3',X) ),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[56,1419,441])]) ).
cnf(1477,plain,
( unequally_directed_lines('SKOLEMAAAV3',reverse_line(X))
| unequally_directed_lines('SKOLEMAAAV3',X) ),
inference('HYPERRESOLVE',[status(thm)],[56,1456,1452]) ).
cnf(1481,plain,
( unequally_directed_lines('SKOLEMAAAV3',X)
| unequally_directed_lines('SKOLEMAAAV3',Y)
| unequally_directed_lines(reverse_line(X),Y) ),
inference('HYPERRESOLVE',[status(thm)],[31,1477]) ).
cnf(1818,plain,
unequally_directed_lines('SKOLEMAAAV3',line_connecting(X,X)),
inference('UR-RESOLVE',[status(thm)],[1481,72]) ).
cnf(1952,plain,
~ unequally_directed_lines('SKOLEMAAAV3',reverse_line(line_connecting(X,X))),
inference('UR-RESOLVE',[status(thm)],[56,1818]) ).
cnf(1953,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[31,1818,48]),1952]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO254+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 18 14:37:52 EDT 2022
% 0.19/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.48 #<PACKAGE "SNARK-USER">
% 0.19/0.48 *
% 0.19/0.48 SNARK-TPTP-OPTIONS
% 0.19/0.48 *
% 0.19/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48 (USE-FACTORING :POS)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48 *
% 0.19/0.48 "."
% 0.19/0.48 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T14:37:53
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-06-18T14:37:53
% 1.89/2.08
% 1.89/2.08
% 1.89/2.08 #||
% 1.89/2.08 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.89/2.08 % SZS output start Refutation
% See solution above
% 1.91/2.10 ||#
% 1.91/2.10
% 1.91/2.10 ; Summary of computation:
% 1.91/2.10 ; 9781 formulas have been input or derived (from 348 formulas).
% 1.91/2.10 ; 1953 (20%) were retained. Of these,
% 1.91/2.10 ; 84 ( 4%) were simplified or subsumed later,
% 1.91/2.10 ; 1869 (96%) are still being kept.
% 1.91/2.10 ;
% 1.91/2.10 ; Run time in seconds excluding printing time:
% 1.91/2.10 ; 0.009 1% Read assertion file (1 call)
% 1.91/2.10 ; 0.002 0% Assert (32 calls)
% 1.91/2.10 ; 0.180 11% Process new row (8,784 calls)
% 1.91/2.10 ; 0.158 10% Resolution (694 calls)
% 1.91/2.10 ; 0.008 1% Paramodulation (347 calls)
% 1.91/2.10 ; 0.000 0% Factoring (123 calls)
% 1.91/2.10 ; 0.073 5% Condensing (4,027 calls)
% 1.91/2.10 ; 0.423 27% Forward subsumption (4,027 calls)
% 1.91/2.10 ; 0.117 7% Backward subsumption (1,155 calls)
% 1.91/2.10 ; 0.384 24% Clause clause subsumption (142,403 calls)
% 1.91/2.10 ; 0.155 10% Forward simplification (8,771 calls)
% 1.91/2.10 ; 0.007 0% Backward simplification (1,952 calls)
% 1.91/2.10 ; 0.010 1% Ordering (12,330 calls)
% 1.91/2.10 ; 0.000 0% Sortal reasoning (32 calls)
% 1.91/2.10 ; 0.000 0% Purity testing (1 call)
% 1.91/2.10 ; 0.056 4% Other
% 1.91/2.10 ; 1.582 Total
% 1.91/2.10 ; 1.622 Real time
% 1.91/2.10 ;
% 1.91/2.10 ; Term-hash-array has 2,014 terms in all.
% 1.91/2.10 ; Feature-vector-row-index has 1,077 entries (1,091 at peak, 1,155 added, 78 deleted).
% 1.91/2.10 ; Feature-vector-row-index has 1,083 nodes (1,154 at peak, 1,339 added, 256 deleted).
% 1.91/2.10 ; Retrieved 159,759 possibly forward subsuming rows in 4,027 calls.
% 1.91/2.10 ; Retrieved 30,933 possibly backward subsumed rows in 1,155 calls.
% 1.91/2.10 ; Path-index has 1,977 entries (1,977 at peak, 2,028 added, 51 deleted).
% 1.91/2.10 ; Path-index has 2,141 nodes (2,141 at peak, 2,182 added, 41 deleted).
% 1.91/2.10 ; Trie-index has 1,977 entries (1,977 at peak, 2,028 added, 51 deleted).
% 1.91/2.10 ; Trie-index has 7,165 nodes (7,165 at peak, 7,272 added, 107 deleted).
% 1.91/2.10 ; Retrieved 38,452 generalization terms in 26,192 calls.
% 1.91/2.10 ; Retrieved 830 instance terms in 796 calls.
% 1.91/2.10 ; Retrieved 49,441 unifiable terms in 6,190 calls.
% 1.91/2.10 ;
% 1.91/2.10 ; The agenda of rows to process has 46 entries:
% 1.91/2.10 ; 1 with value 19 2 with value 24 2 with value 31
% 1.91/2.10 ; 2 with value 20 23 with value 25 1 with value 32
% 1.91/2.10 ; 5 with value 21 1 with value 26 1 with value 34
% 1.91/2.10 ; 2 with value 22 2 with value 28 1 with value 35
% 1.91/2.10 ; 2 with value 23 1 with value 29
% 1.91/2.10 ; The agenda of rows to give has 1542 entries:
% 1.91/2.10 ; 1 with value (4 17) 78 with value (4 32) 26 with value (4 45)
% 1.91/2.10 ; 1 with value (4 18) 79 with value (4 33) 24 with value (4 46)
% 1.91/2.10 ; 1 with value (4 19) 80 with value (4 34) 10 with value (4 47)
% 1.91/2.10 ; 17 with value (4 22) 91 with value (4 35) 18 with value (4 48)
% 1.91/2.10 ; 23 with value (4 23) 73 with value (4 36) 12 with value (4 49)
% 1.91/2.10 ; 37 with value (4 24) 35 with value (4 37) 32 with value (4 50)
% 1.91/2.10 ; 20 with value (4 25) 105 with value (4 38) 11 with value (4 51)
% 1.91/2.10 ; 36 with value (4 26) 51 with value (4 39) 16 with value (4 52)
% 1.91/2.10 ; 47 with value (4 27) 71 with value (4 40) 6 with value (4 53)
% 1.91/2.10 ; 74 with value (4 28) 18 with value (4 41) 16 with value (4 54)
% 1.91/2.10 ; 54 with value (4 29) 83 with value (4 42) 4 with value (4 55)
% 1.91/2.10 ; 77 with value (4 30) 19 with value (4 43) 24 with value (4 56)
% 1.91/2.10 ; 66 with value (4 31) 96 with value (4 44) 10 with value (4 58)
% 1.91/2.10 Evaluation took:
% 1.91/2.10 1.623 seconds of real time
% 1.91/2.10 1.35931 seconds of user run time
% 1.91/2.10 0.24727 seconds of system run time
% 1.91/2.10 [Run times include 0.09 seconds GC run time.]
% 1.91/2.10 0 calls to %EVAL
% 1.91/2.10 0 page faults and
% 1.91/2.10 190,106,208 bytes consed.
% 1.91/2.10 :PROOF-FOUND
% 1.91/2.10 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T14:37:54
% 1.91/2.10 :PROOF-FOUND
% 1.91/2.10 *
%------------------------------------------------------------------------------