%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO205+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n032.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 06:14:55 EDT 2022
% Result : Theorem 0.15s 0.42s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 11
% Syntax : Number of clauses : 22 ( 15 unt; 4 nHn; 19 RR)
% Number of literals : 36 ( 0 equ; 18 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 19 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
~ distinct_lines(X,X),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',apart2) ).
cnf(3,axiom,
~ convergent_lines(X,X),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',apart3) ).
cnf(5,axiom,
( ~ distinct_lines(X,Y)
| distinct_lines(X,Z)
| distinct_lines(Y,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',apart5) ).
cnf(9,axiom,
( ~ convergent_lines(X,Y)
| ~ apart_point_and_line(intersection_point(X,Y),X) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ci3) ).
cnf(10,axiom,
( ~ convergent_lines(X,Y)
| ~ apart_point_and_line(intersection_point(X,Y),Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ci4) ).
cnf(11,axiom,
( ~ distinct_points(X,Y)
| ~ distinct_lines(Z,U)
| apart_point_and_line(X,Z)
| apart_point_and_line(X,U)
| apart_point_and_line(Y,Z)
| apart_point_and_line(Y,U) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',cu1) ).
cnf(13,axiom,
( ~ apart_point_and_line(X,Y)
| distinct_lines(Y,Z)
| apart_point_and_line(X,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ceq2) ).
cnf(14,axiom,
( ~ convergent_lines(X,Y)
| distinct_lines(Y,Z)
| convergent_lines(X,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ceq3) ).
cnf(15,negated_conjecture,
convergent_lines('SKOLEMAAAO1','SKOLEMAAAO2'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
cnf(16,negated_conjecture,
~ distinct_lines('SKOLEMAAAO2','SKOLEMAAAO3'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
cnf(17,negated_conjecture,
( ~ convergent_lines('SKOLEMAAAO1','SKOLEMAAAO3')
| distinct_points(intersection_point('SKOLEMAAAO1','SKOLEMAAAO2'),intersection_point('SKOLEMAAAO1','SKOLEMAAAO3')) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
cnf(18,plain,
~ apart_point_and_line(intersection_point('SKOLEMAAAO1','SKOLEMAAAO2'),'SKOLEMAAAO1'),
inference('UR-RESOLVE',[status(thm)],[9,15]) ).
cnf(19,plain,
~ apart_point_and_line(intersection_point('SKOLEMAAAO1','SKOLEMAAAO2'),'SKOLEMAAAO2'),
inference('UR-RESOLVE',[status(thm)],[10,15]) ).
cnf(20,plain,
~ distinct_lines('SKOLEMAAAO3','SKOLEMAAAO2'),
inference('UR-RESOLVE',[status(thm)],[5,2,16]) ).
cnf(24,plain,
distinct_lines('SKOLEMAAAO2','SKOLEMAAAO1'),
inference('UR-RESOLVE',[status(thm)],[14,15,3]) ).
cnf(25,plain,
convergent_lines('SKOLEMAAAO1','SKOLEMAAAO3'),
inference('UR-RESOLVE',[status(thm)],[14,15,16]) ).
cnf(26,plain,
distinct_points(intersection_point('SKOLEMAAAO1','SKOLEMAAAO2'),intersection_point('SKOLEMAAAO1','SKOLEMAAAO3')),
inference('REWRITE',[status(thm)],[17,25]) ).
cnf(37,plain,
distinct_lines('SKOLEMAAAO1','SKOLEMAAAO3'),
inference('UR-RESOLVE',[status(thm)],[5,24,16]) ).
cnf(42,plain,
~ apart_point_and_line(intersection_point('SKOLEMAAAO1','SKOLEMAAAO3'),'SKOLEMAAAO3'),
inference('UR-RESOLVE',[status(thm)],[10,25]) ).
cnf(43,plain,
~ apart_point_and_line(intersection_point('SKOLEMAAAO1','SKOLEMAAAO3'),'SKOLEMAAAO1'),
inference('UR-RESOLVE',[status(thm)],[9,25]) ).
cnf(48,plain,
apart_point_and_line(intersection_point('SKOLEMAAAO1','SKOLEMAAAO2'),'SKOLEMAAAO3'),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[11,37,26]),42,43,18]) ).
cnf(52,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[13,19,20]),48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : GEO205+1 : TPTP v8.1.0. Released v3.3.0.
% 0.02/0.10 % Command : run-snark %s %d
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 600
% 0.10/0.30 % DateTime : Sat Jun 18 16:20:17 EDT 2022
% 0.10/0.30 % CPUTime :
% 0.15/0.38 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.39 *
% 0.15/0.39 *
% 0.15/0.39 #<PACKAGE "SNARK-USER">
% 0.15/0.39 *
% 0.15/0.39 SNARK-TPTP-OPTIONS
% 0.15/0.39 *
% 0.15/0.39 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.15/0.39 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.15/0.39 (USE-FACTORING :POS)
% 0.15/0.39 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.15/0.39 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.15/0.39 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.15/0.39 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.15/0.39 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.15/0.39 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.15/0.39 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.15/0.39 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.15/0.39 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.15/0.39 (DECLARE-TPTP-SYMBOLS2))
% 0.15/0.39 *
% 0.15/0.39 "."
% 0.15/0.39 *
% 0.15/0.39 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T16:20:17
% 0.15/0.39 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n032.cluster.edu at 2022-06-18T16:20:17
% 0.15/0.42
% 0.15/0.42
% 0.15/0.42 #||
% 0.15/0.42 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.42 % SZS output start Refutation
% See solution above
% 0.15/0.42 ||#
% 0.15/0.42
% 0.15/0.42 ; Summary of computation:
% 0.15/0.42 ; 118 formulas have been input or derived (from 30 formulas).
% 0.15/0.42 ; 52 (44%) were retained. Of these,
% 0.15/0.42 ; 2 ( 4%) were simplified or subsumed later,
% 0.15/0.42 ; 50 (96%) are still being kept.
% 0.15/0.42 ;
% 0.15/0.42 ; Run time in seconds excluding printing time:
% 0.15/0.42 ; 0.003 13% Read assertion file (1 call)
% 0.15/0.42 ; 0.000 0% Assert (15 calls)
% 0.15/0.42 ; 0.004 17% Process new row (109 calls)
% 0.15/0.42 ; 0.001 4% Resolution (58 calls)
% 0.15/0.42 ; 0.000 0% Paramodulation (29 calls)
% 0.15/0.42 ; 0.000 0% Condensing (26 calls)
% 0.15/0.42 ; 0.000 0% Forward subsumption (26 calls)
% 0.15/0.42 ; 0.001 4% Backward subsumption (22 calls)
% 0.15/0.42 ; 0.000 0% Clause clause subsumption (12 calls)
% 0.15/0.42 ; 0.000 0% Forward simplification (109 calls)
% 0.15/0.42 ; 0.001 4% Backward simplification (52 calls)
% 0.15/0.42 ; 0.000 0% Ordering (7 calls)
% 0.15/0.42 ; 0.000 0% Sortal reasoning (32 calls)
% 0.15/0.42 ; 0.000 0% Purity testing (1 call)
% 0.15/0.42 ; 0.013 57% Other
% 0.15/0.42 ; 0.023 Total
% 0.15/0.42 ; 0.024 Real time
% 0.15/0.42 ;
% 0.15/0.42 ; Term-hash-array has 64 terms in all.
% 0.15/0.42 ; Feature-vector-row-index has 20 entries (20 at peak, 22 added, 2 deleted).
% 0.15/0.42 ; Feature-vector-row-index has 41 nodes (49 at peak, 67 added, 26 deleted).
% 0.15/0.42 ; Retrieved 8 possibly forward subsuming rows in 26 calls.
% 0.15/0.42 ; Retrieved 4 possibly backward subsumed rows in 22 calls.
% 0.15/0.42 ; Path-index has 67 entries (67 at peak, 70 added, 3 deleted).
% 0.15/0.42 ; Path-index has 103 nodes (103 at peak, 108 added, 5 deleted).
% 0.15/0.42 ; Trie-index has 67 entries (67 at peak, 70 added, 3 deleted).
% 0.15/0.42 ; Trie-index has 109 nodes (109 at peak, 117 added, 8 deleted).
% 0.15/0.42 ; Retrieved 127 generalization terms in 140 calls.
% 0.15/0.42 ; Retrieved 29 instance terms in 29 calls.
% 0.15/0.42 ; Retrieved 1,091 unifiable terms in 321 calls.
% 0.15/0.42 ;
% 0.15/0.42 ; The agenda of rows to process has 3 entries:
% 0.15/0.42 ; 1 with value 9 1 with value 11 1 with value 12
% 0.15/0.42 ; The agenda of rows to give has 20 entries:
% 0.15/0.42 ; 7 with value (4 9) 2 with value (4 11) 3 with value (4 15)
% 0.15/0.42 ; 8 with value (4 10)
% 0.15/0.42 Evaluation took:
% 0.15/0.42 0.025 seconds of real time
% 0.15/0.42 0.02053 seconds of user run time
% 0.15/0.42 0.003898 seconds of system run time
% 0.15/0.42 0 calls to %EVAL
% 0.15/0.42 0 page faults and
% 0.15/0.42 3,116,160 bytes consed.
% 0.15/0.42 :PROOF-FOUND
% 0.15/0.42 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T16:20:17
% 0.15/0.42 :PROOF-FOUND
% 0.15/0.42 *
%------------------------------------------------------------------------------