TSTP Solution File: GEO255+1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO255+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n028.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 06:15:29 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of clauses : 18 ( 13 unt; 3 nHn; 17 RR)
% Number of literals : 28 ( 0 equ; 14 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 17 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(18,axiom,
( ~ before_on_line(X,Y,Z)
| ~ unequally_directed_lines(X,line_connecting(Y,Z)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',bf_def) ).
cnf(30,axiom,
~ unequally_directed_lines(X,X),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GEO007+0.ax',oag6) ).
cnf(34,axiom,
( ~ line(X)
| ~ line(Y)
| unequally_directed_lines(X,Y)
| unequally_directed_lines(X,reverse_line(Y)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oag8) ).
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/sandbox/benchmark/Axioms/GEO007+0.ax',oag9) ).
cnf(37,axiom,
~ left_convergent_lines(X,Y),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GEO007+0.ax',oagco9) ).
cnf(52,negated_conjecture,
line('SKOLEMAAAV1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
cnf(54,negated_conjecture,
before_on_line('SKOLEMAAAV1','SKOLEMAAAV2','SKOLEMAAAV3'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
cnf(55,negated_conjecture,
before_on_line('SKOLEMAAAV1','SKOLEMAAAV3','SKOLEMAAAV2'),
file('/export/starexec/sandbox/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(70,plain,
~ unequally_directed_lines('SKOLEMAAAV1',line_connecting('SKOLEMAAAV2','SKOLEMAAAV3')),
inference('UR-RESOLVE',[status(thm)],[18,54]) ).
cnf(71,plain,
~ unequally_directed_lines('SKOLEMAAAV1',line_connecting('SKOLEMAAAV3','SKOLEMAAAV2')),
inference('UR-RESOLVE',[status(thm)],[18,55]) ).
cnf(81,plain,
unequally_directed_lines('SKOLEMAAAV1',reverse_line('SKOLEMAAAV1')),
inference('UR-RESOLVE',[status(thm)],[34,52,52,30]) ).
cnf(97,plain,
unequally_directed_lines(reverse_line('SKOLEMAAAV1'),line_connecting('SKOLEMAAAV2','SKOLEMAAAV3')),
inference('UR-RESOLVE',[status(thm)],[31,70,81]) ).
cnf(102,plain,
unequally_directed_lines(reverse_line('SKOLEMAAAV1'),line_connecting('SKOLEMAAAV3','SKOLEMAAAV2')),
inference('UR-RESOLVE',[status(thm)],[31,71,81]) ).
cnf(135,plain,
unequally_directed_lines(reverse_line('SKOLEMAAAV1'),reverse_line(line_connecting('SKOLEMAAAV3','SKOLEMAAAV2'))),
inference('UR-RESOLVE',[status(thm)],[31,97,48]) ).
cnf(141,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[56,102]),135]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO255+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n028.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 16:14:14 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T16:14:14
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-06-18T16:14:14
% 0.19/0.52
% 0.19/0.52
% 0.19/0.52 #||
% 0.19/0.52 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.52 % SZS output start Refutation
% See solution above
% 0.19/0.52 ||#
% 0.19/0.52
% 0.19/0.52 ; Summary of computation:
% 0.19/0.52 ; 287 formulas have been input or derived (from 67 formulas).
% 0.19/0.52 ; 141 (49%) were retained. Of these,
% 0.19/0.52 ; 29 (21%) were simplified or subsumed later,
% 0.19/0.52 ; 112 (79%) are still being kept.
% 0.19/0.52 ;
% 0.19/0.52 ; Run time in seconds excluding printing time:
% 0.19/0.52 ; 0.009 16% Read assertion file (1 call)
% 0.19/0.52 ; 0.002 3% Assert (32 calls)
% 0.19/0.52 ; 0.012 21% Process new row (259 calls)
% 0.19/0.52 ; 0.004 7% Resolution (132 calls)
% 0.19/0.52 ; 0.000 0% Paramodulation (66 calls)
% 0.19/0.52 ; 0.000 0% Factoring (1 call)
% 0.19/0.52 ; 0.001 2% Condensing (54 calls)
% 0.19/0.52 ; 0.001 2% Forward subsumption (54 calls)
% 0.19/0.52 ; 0.001 2% Backward subsumption (50 calls)
% 0.19/0.52 ; 0.000 0% Clause clause subsumption (56 calls)
% 0.19/0.52 ; 0.006 10% Forward simplification (259 calls)
% 0.19/0.52 ; 0.000 0% Backward simplification (140 calls)
% 0.19/0.52 ; 0.000 0% Ordering (11 calls)
% 0.19/0.52 ; 0.001 2% Sortal reasoning (32 calls)
% 0.19/0.52 ; 0.000 0% Purity testing (1 call)
% 0.19/0.52 ; 0.021 36% Other
% 0.19/0.52 ; 0.058 Total
% 0.19/0.52 ; 0.061 Real time
% 0.19/0.52 ;
% 0.19/0.52 ; Term-hash-array has 170 terms in all.
% 0.19/0.52 ; Feature-vector-row-index has 25 entries (32 at peak, 50 added, 25 deleted).
% 0.19/0.52 ; Feature-vector-row-index has 67 nodes (67 at peak, 113 added, 46 deleted).
% 0.19/0.52 ; Retrieved 32 possibly forward subsuming rows in 54 calls.
% 0.19/0.52 ; Retrieved 26 possibly backward subsumed rows in 50 calls.
% 0.19/0.52 ; Path-index has 152 entries (152 at peak, 176 added, 24 deleted).
% 0.19/0.52 ; Path-index has 332 nodes (332 at peak, 351 added, 19 deleted).
% 0.19/0.52 ; Trie-index has 152 entries (152 at peak, 176 added, 24 deleted).
% 0.19/0.52 ; Trie-index has 367 nodes (367 at peak, 396 added, 29 deleted).
% 0.19/0.52 ; Retrieved 318 generalization terms in 296 calls.
% 0.19/0.52 ; Retrieved 121 instance terms in 89 calls.
% 0.19/0.52 ; Retrieved 1,919 unifiable terms in 587 calls.
% 0.19/0.52 ;
% 0.19/0.52 ; The agenda of rows to process has 4 entries:
% 0.19/0.52 ; 1 with value 13 2 with value 14 1 with value 16
% 0.19/0.52 ; The agenda of rows to give has 48 entries:
% 0.19/0.52 ; 5 with value (4 10) 5 with value (4 13) 1 with value (4 16)
% 0.19/0.52 ; 7 with value (4 11) 8 with value (4 14) 1 with value (4 18)
% 0.19/0.52 ; 18 with value (4 12) 3 with value (4 15)
% 0.19/0.52 Evaluation took:
% 0.19/0.52 0.062 seconds of real time
% 0.19/0.52 0.049467 seconds of user run time
% 0.19/0.52 0.012093 seconds of system run time
% 0.19/0.52 0 calls to %EVAL
% 0.19/0.52 0 page faults and
% 0.19/0.52 3,807,952 bytes consed.
% 0.19/0.52 :PROOF-FOUND
% 0.19/0.52 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T16:14:14
% 0.19/0.53 :PROOF-FOUND
% 0.19/0.53 *
%------------------------------------------------------------------------------