TSTP Solution File: GEO172+1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO172+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n006.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 06:14:26 EDT 2022
% Result : Theorem 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 9
% Syntax : Number of clauses : 13 ( 9 unt; 2 nHn; 12 RR)
% Number of literals : 22 ( 0 equ; 12 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 : 12 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
~ convergent_lines(X,X),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',apart3) ).
cnf(9,axiom,
( ~ convergent_lines(X,Y)
| ~ apart_point_and_line(intersection_point(X,Y),X) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/GEO006+0.ax',cu1) ).
cnf(14,axiom,
( ~ convergent_lines(X,Y)
| distinct_lines(Y,Z)
| convergent_lines(X,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ceq3) ).
cnf(15,negated_conjecture,
convergent_lines('SKOLEMAAAV1','SKOLEMAAAV2'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
cnf(16,negated_conjecture,
~ apart_point_and_line('SKOLEMAAAV3','SKOLEMAAAV1'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
cnf(17,negated_conjecture,
~ apart_point_and_line('SKOLEMAAAV3','SKOLEMAAAV2'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
cnf(18,negated_conjecture,
distinct_points('SKOLEMAAAV3',intersection_point('SKOLEMAAAV1','SKOLEMAAAV2')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
cnf(21,plain,
~ apart_point_and_line(intersection_point('SKOLEMAAAV1','SKOLEMAAAV2'),'SKOLEMAAAV1'),
inference('UR-RESOLVE',[status(thm)],[9,15]) ).
cnf(22,plain,
~ apart_point_and_line(intersection_point('SKOLEMAAAV1','SKOLEMAAAV2'),'SKOLEMAAAV2'),
inference('UR-RESOLVE',[status(thm)],[10,15]) ).
cnf(27,plain,
distinct_lines('SKOLEMAAAV2','SKOLEMAAAV1'),
inference('UR-RESOLVE',[status(thm)],[14,15,3]) ).
cnf(34,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[11,27,18]),21,22,16,17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO172+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n006.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jun 18 01:24:40 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.46 #<PACKAGE "SNARK-USER">
% 0.20/0.46 *
% 0.20/0.46 SNARK-TPTP-OPTIONS
% 0.20/0.46 *
% 0.20/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.46 (USE-FACTORING :POS)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.46 *
% 0.20/0.46 "."
% 0.20/0.46 *
% 0.20/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T01:24:41
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n006.cluster.edu at 2022-06-18T01:24:41
% 0.20/0.50
% 0.20/0.50
% 0.20/0.50 #||
% 0.20/0.50 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.50 % SZS output start Refutation
% See solution above
% 0.20/0.50 ||#
% 0.20/0.50
% 0.20/0.50 ; Summary of computation:
% 0.20/0.50 ; 52 formulas have been input or derived (from 21 formulas).
% 0.20/0.50 ; 34 (65%) were retained. Of these,
% 0.20/0.50 ; 34 (100%) are still being kept.
% 0.20/0.50 ;
% 0.20/0.50 ; Run time in seconds excluding printing time:
% 0.20/0.50 ; 0.004 12% Read assertion file (1 call)
% 0.20/0.50 ; 0.001 3% Assert (15 calls)
% 0.20/0.50 ; 0.001 3% Process new row (51 calls)
% 0.20/0.50 ; 0.001 3% Resolution (40 calls)
% 0.20/0.50 ; 0.000 0% Paramodulation (20 calls)
% 0.20/0.50 ; 0.000 0% Condensing (17 calls)
% 0.20/0.50 ; 0.000 0% Forward subsumption (17 calls)
% 0.20/0.50 ; 0.000 0% Backward subsumption (16 calls)
% 0.20/0.50 ; 0.000 0% Clause clause subsumption (7 calls)
% 0.20/0.50 ; 0.001 3% Forward simplification (51 calls)
% 0.20/0.50 ; 0.002 6% Backward simplification (34 calls)
% 0.20/0.50 ; 0.000 0% Ordering (5 calls)
% 0.20/0.50 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.50 ; 0.000 0% Purity testing (1 call)
% 0.20/0.50 ; 0.022 69% Other
% 0.20/0.50 ; 0.032 Total
% 0.20/0.50 ; 0.034 Real time
% 0.20/0.50 ;
% 0.20/0.50 ; Term-hash-array has 48 terms in all.
% 0.20/0.50 ; Feature-vector-row-index has 16 entries (16 at peak, 16 added, 0 deleted).
% 0.20/0.50 ; Feature-vector-row-index has 35 nodes (35 at peak, 35 added, 0 deleted).
% 0.20/0.50 ; Retrieved 4 possibly forward subsuming rows in 17 calls.
% 0.20/0.50 ; Retrieved 3 possibly backward subsumed rows in 16 calls.
% 0.20/0.50 ; Path-index has 51 entries (51 at peak, 51 added, 0 deleted).
% 0.20/0.50 ; Path-index has 87 nodes (87 at peak, 87 added, 0 deleted).
% 0.20/0.50 ; Trie-index has 51 entries (51 at peak, 51 added, 0 deleted).
% 0.20/0.50 ; Trie-index has 80 nodes (80 at peak, 80 added, 0 deleted).
% 0.20/0.50 ; Retrieved 58 generalization terms in 65 calls.
% 0.20/0.50 ; Retrieved 17 instance terms in 17 calls.
% 0.20/0.50 ; Retrieved 428 unifiable terms in 136 calls.
% 0.20/0.50 ;
% 0.20/0.50 ; The agenda of rows to give has 13 entries:
% 0.20/0.50 ; 1 with value (4 6) 2 with value (4 10) 1 with value (4 12)
% 0.20/0.50 ; 3 with value (4 8) 1 with value (4 11) 1 with value (4 13)
% 0.20/0.50 ; 4 with value (4 9)
% 0.20/0.50 Evaluation took:
% 0.20/0.50 0.034 seconds of real time
% 0.20/0.50 0.030091 seconds of user run time
% 0.20/0.50 0.004168 seconds of system run time
% 0.20/0.50 0 calls to %EVAL
% 0.20/0.50 0 page faults and
% 0.20/0.50 2,288,472 bytes consed.
% 0.20/0.50 :PROOF-FOUND
% 0.20/0.50 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T01:24:41
% 0.20/0.50 :PROOF-FOUND
% 0.20/0.50 *
%------------------------------------------------------------------------------