TSTP Solution File: GEO202+3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO202+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n021.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 06:14:53 EDT 2022
% Result : Theorem 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 12
% Syntax : Number of clauses : 20 ( 13 unt; 5 nHn; 14 RR)
% Number of literals : 34 ( 0 equ; 17 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 41 ( 15 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(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,axiom,
( ~ distinct_lines(X,Y)
| convergent_lines(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+1.ax',p1) ).
cnf(16,axiom,
~ convergent_lines(parallel_through_point(X,Y),X),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+2.ax',cp1) ).
cnf(17,axiom,
~ apart_point_and_line(X,parallel_through_point(Y,X)),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+2.ax',cp2) ).
cnf(18,axiom,
( convergent_lines(X,Y)
| unorthogonal_lines(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+3.ax',occu1) ).
cnf(22,axiom,
~ unorthogonal_lines(orthogonal_through_point(X,Y),X),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+3.ax',ooc1) ).
cnf(45,negated_conjecture,
distinct_points('SKOLEMAAAV1','SKOLEMAAAV3'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
cnf(48,plain,
~ distinct_lines(parallel_through_point(X,Y),X),
inference('UR-RESOLVE',[status(thm)],[15,16]) ).
cnf(50,plain,
convergent_lines(orthogonal_through_point(X,Y),X),
inference('HYPERRESOLVE',[status(thm)],[22,18]) ).
cnf(96,plain,
~ distinct_lines(X,parallel_through_point(X,Y)),
inference('UR-RESOLVE',[status(thm)],[5,48,2]) ).
cnf(101,plain,
distinct_lines(X,orthogonal_through_point(X,Y)),
inference('UR-RESOLVE',[status(thm)],[14,50,3]) ).
cnf(144,plain,
~ apart_point_and_line(X,Y),
inference('UR-RESOLVE',[status(thm)],[13,96,17]) ).
cnf(147,plain,
( ~ distinct_points(X,Y)
| ~ distinct_lines(Z,U) ),
inference('REWRITE',[status(thm)],[11,144]) ).
cnf(151,plain,
~ distinct_lines(X,Y),
inference('UR-RESOLVE',[status(thm)],[147,45]) ).
cnf(152,plain,
$false,
inference('REWRITE',[status(thm)],[101,151]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GEO202+3 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n021.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 : Fri Jun 17 17:00:46 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.20/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.45 *
% 0.20/0.45 *
% 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/sandbox/benchmark/theBenchmark.p 2022-06-17T17:00:46
% 0.20/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-17T17:00:46
% 0.20/0.53
% 0.20/0.53
% 0.20/0.53 #||
% 0.20/0.53 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.53 % SZS output start Refutation
% See solution above
% 0.20/0.53 ||#
% 0.20/0.53
% 0.20/0.53 ; Summary of computation:
% 0.20/0.53 ; 313 formulas have been input or derived (from 80 formulas).
% 0.20/0.53 ; 152 (49%) were retained. Of these,
% 0.20/0.53 ; 68 (45%) were simplified or subsumed later,
% 0.20/0.53 ; 84 (55%) are still being kept.
% 0.20/0.53 ;
% 0.20/0.53 ; Run time in seconds excluding printing time:
% 0.20/0.53 ; 0.011 16% Read assertion file (1 call)
% 0.20/0.53 ; 0.002 3% Assert (36 calls)
% 0.20/0.53 ; 0.007 10% Process new row (284 calls)
% 0.20/0.53 ; 0.012 18% Resolution (158 calls)
% 0.20/0.53 ; 0.002 3% Paramodulation (79 calls)
% 0.20/0.53 ; 0.000 0% Factoring (8 calls)
% 0.20/0.53 ; 0.001 1% Condensing (61 calls)
% 0.20/0.53 ; 0.001 1% Forward subsumption (61 calls)
% 0.20/0.53 ; 0.000 0% Backward subsumption (54 calls)
% 0.20/0.53 ; 0.001 1% Clause clause subsumption (57 calls)
% 0.20/0.53 ; 0.006 9% Forward simplification (284 calls)
% 0.20/0.53 ; 0.001 1% Backward simplification (152 calls)
% 0.20/0.53 ; 0.000 0% Ordering (57 calls)
% 0.20/0.53 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.53 ; 0.000 0% Purity testing (1 call)
% 0.20/0.53 ; 0.024 35% Other
% 0.20/0.53 ; 0.068 Total
% 0.20/0.53 ; 0.071 Real time
% 0.20/0.53 ;
% 0.20/0.53 ; Term-hash-array has 178 terms in all.
% 0.20/0.53 ; Feature-vector-row-index has 34 entries (51 at peak, 54 added, 20 deleted).
% 0.20/0.53 ; Feature-vector-row-index has 108 nodes (140 at peak, 141 added, 33 deleted).
% 0.20/0.53 ; Retrieved 43 possibly forward subsuming rows in 61 calls.
% 0.20/0.53 ; Retrieved 22 possibly backward subsumed rows in 54 calls.
% 0.20/0.53 ; Path-index has 106 entries (178 at peak, 183 added, 77 deleted).
% 0.20/0.53 ; Path-index has 406 nodes (471 at peak, 487 added, 81 deleted).
% 0.20/0.53 ; Trie-index has 106 entries (178 at peak, 183 added, 77 deleted).
% 0.20/0.53 ; Trie-index has 278 nodes (450 at peak, 463 added, 185 deleted).
% 0.20/0.53 ; Retrieved 358 generalization terms in 379 calls.
% 0.20/0.53 ; Retrieved 174 instance terms in 97 calls.
% 0.20/0.53 ; Retrieved 5,962 unifiable terms in 1,242 calls.
% 0.20/0.53 ;
% 0.20/0.53 ; The agenda of backward simplifiable rows to process has 4 entries:
% 0.20/0.53 ; 4 with value 0
% 0.20/0.53 ; The agenda of rows to process has 1 entry:
% 0.20/0.53 ; 1 with value 6
% 0.20/0.53 ; The agenda of rows to give has 35 entries:
% 0.20/0.53 ; 1 with value (4 5) 2 with value (4 11) 4 with value (4 14)
% 0.20/0.53 ; 1 with value (4 7) 5 with value (4 12) 2 with value (4 15)
% 0.20/0.53 ; 5 with value (4 9) 5 with value (4 13) 6 with value (4 24)
% 0.20/0.53 ; 4 with value (4 10)
% 0.20/0.53 Evaluation took:
% 0.20/0.53 0.072 seconds of real time
% 0.20/0.53 0.062804 seconds of user run time
% 0.20/0.53 0.009046 seconds of system run time
% 0.20/0.53 0 calls to %EVAL
% 0.20/0.53 0 page faults and
% 0.20/0.53 4,254,856 bytes consed.
% 0.20/0.53 :PROOF-FOUND
% 0.20/0.53 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-17T17:00:46
% 0.20/0.53 :PROOF-FOUND
% 0.20/0.53 *
%------------------------------------------------------------------------------