TSTP Solution File: GEO231+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO231+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n013.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 0.21s 0.54s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of clauses : 16 ( 13 unt; 2 nHn; 15 RR)
% Number of literals : 22 ( 0 equ; 14 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 10 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
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(37,axiom,
~ left_convergent_lines(X,Y),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oag11) ).
cnf(52,negated_conjecture,
~ unequally_directed_lines('SKOLEMAAAV1',reverse_line('SKOLEMAAAV2')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
cnf(53,negated_conjecture,
~ unequally_directed_lines('SKOLEMAAAV1','SKOLEMAAAV3'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
cnf(54,negated_conjecture,
unequally_directed_lines('SKOLEMAAAV2',reverse_line('SKOLEMAAAV3')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
cnf(55,plain,
( ~ unequally_directed_lines(X,Y)
| ~ unequally_directed_lines(X,reverse_line(Y)) ),
inference('REWRITE',[status(thm)],[35,37]) ).
cnf(67,plain,
~ unequally_directed_lines('SKOLEMAAAV2','SKOLEMAAAV3'),
inference('UR-RESOLVE',[status(thm)],[55,54]) ).
cnf(72,plain,
~ unequally_directed_lines('SKOLEMAAAV3','SKOLEMAAAV1'),
inference('UR-RESOLVE',[status(thm)],[31,30,53]) ).
cnf(73,plain,
~ unequally_directed_lines(reverse_line('SKOLEMAAAV2'),'SKOLEMAAAV1'),
inference('UR-RESOLVE',[status(thm)],[31,30,52]) ).
cnf(74,plain,
unequally_directed_lines(reverse_line('SKOLEMAAAV3'),'SKOLEMAAAV2'),
inference('UR-RESOLVE',[status(thm)],[31,54,30]) ).
cnf(90,plain,
unequally_directed_lines(reverse_line('SKOLEMAAAV3'),'SKOLEMAAAV3'),
inference('UR-RESOLVE',[status(thm)],[31,67,54]) ).
cnf(111,plain,
~ unequally_directed_lines('SKOLEMAAAV3',reverse_line('SKOLEMAAAV2')),
inference('UR-RESOLVE',[status(thm)],[31,73,72]) ).
cnf(116,plain,
~ unequally_directed_lines(reverse_line('SKOLEMAAAV3'),reverse_line('SKOLEMAAAV2')),
inference('UR-RESOLVE',[status(thm)],[55,74]) ).
cnf(136,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[31,111,90]),116]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO231+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sat Jun 18 01:31:29 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.47 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.48 *
% 0.21/0.48 *
% 0.21/0.48 #<PACKAGE "SNARK-USER">
% 0.21/0.48 *
% 0.21/0.48 SNARK-TPTP-OPTIONS
% 0.21/0.48 *
% 0.21/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48 (USE-FACTORING :POS)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48 *
% 0.21/0.48 "."
% 0.21/0.48 *
% 0.21/0.49 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T01:31:29
% 0.21/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-06-18T01:31:29
% 0.21/0.54
% 0.21/0.54
% 0.21/0.54 #||
% 0.21/0.54 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.54 % SZS output start Refutation
% See solution above
% 0.21/0.54 ||#
% 0.21/0.54
% 0.21/0.54 ; Summary of computation:
% 0.21/0.54 ; 252 formulas have been input or derived (from 63 formulas).
% 0.21/0.54 ; 136 (54%) were retained. Of these,
% 0.21/0.54 ; 25 (18%) were simplified or subsumed later,
% 0.21/0.54 ; 111 (82%) are still being kept.
% 0.21/0.54 ;
% 0.21/0.54 ; Run time in seconds excluding printing time:
% 0.21/0.54 ; 0.008 15% Read assertion file (1 call)
% 0.21/0.54 ; 0.002 4% Assert (32 calls)
% 0.21/0.54 ; 0.007 13% Process new row (240 calls)
% 0.21/0.54 ; 0.005 9% Resolution (124 calls)
% 0.21/0.54 ; 0.001 2% Paramodulation (62 calls)
% 0.21/0.54 ; 0.001 2% Condensing (48 calls)
% 0.21/0.54 ; 0.000 0% Forward subsumption (48 calls)
% 0.21/0.54 ; 0.001 2% Backward subsumption (45 calls)
% 0.21/0.54 ; 0.000 0% Clause clause subsumption (52 calls)
% 0.21/0.54 ; 0.003 5% Forward simplification (240 calls)
% 0.21/0.54 ; 0.001 2% Backward simplification (135 calls)
% 0.21/0.54 ; 0.000 0% Ordering (3 calls)
% 0.21/0.54 ; 0.001 2% Sortal reasoning (32 calls)
% 0.21/0.54 ; 0.001 2% Purity testing (1 call)
% 0.21/0.54 ; 0.024 44% Other
% 0.21/0.54 ; 0.055 Total
% 0.21/0.54 ; 0.058 Real time
% 0.21/0.54 ;
% 0.21/0.54 ; Term-hash-array has 159 terms in all.
% 0.21/0.54 ; Feature-vector-row-index has 22 entries (32 at peak, 45 added, 23 deleted).
% 0.21/0.54 ; Feature-vector-row-index has 45 nodes (56 at peak, 88 added, 43 deleted).
% 0.21/0.54 ; Retrieved 29 possibly forward subsuming rows in 48 calls.
% 0.21/0.54 ; Retrieved 25 possibly backward subsumed rows in 45 calls.
% 0.21/0.54 ; Path-index has 146 entries (146 at peak, 165 added, 19 deleted).
% 0.21/0.54 ; Path-index has 261 nodes (261 at peak, 279 added, 18 deleted).
% 0.21/0.54 ; Trie-index has 146 entries (146 at peak, 165 added, 19 deleted).
% 0.21/0.54 ; Trie-index has 297 nodes (297 at peak, 324 added, 27 deleted).
% 0.21/0.54 ; Retrieved 299 generalization terms in 257 calls.
% 0.21/0.54 ; Retrieved 115 instance terms in 89 calls.
% 0.21/0.54 ; Retrieved 1,104 unifiable terms in 403 calls.
% 0.21/0.54 ;
% 0.21/0.54 ; The agenda of rows to process has 2 entries:
% 0.21/0.54 ; 2 with value 12
% 0.21/0.54 ; The agenda of rows to give has 48 entries:
% 0.21/0.54 ; 15 with value (4 9) 5 with value (4 11) 1 with value (4 13)
% 0.21/0.54 ; 18 with value (4 10) 7 with value (4 12) 2 with value (4 15)
% 0.21/0.54 Evaluation took:
% 0.21/0.54 0.059 seconds of real time
% 0.21/0.54 0.04799 seconds of user run time
% 0.21/0.54 0.010177 seconds of system run time
% 0.21/0.54 0 calls to %EVAL
% 0.21/0.54 0 page faults and
% 0.21/0.54 3,419,128 bytes consed.
% 0.21/0.54 :PROOF-FOUND
% 0.21/0.54 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T01:31:29
% 0.21/0.54 :PROOF-FOUND
% 0.21/0.54 *
%------------------------------------------------------------------------------