TSTP Solution File: GEO222+3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO222+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 06:15:09 EDT 2022
% Result : Theorem 0.18s 0.51s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of clauses : 14 ( 9 unt; 5 nHn; 7 RR)
% Number of literals : 23 ( 0 equ; 9 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 25 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
~ convergent_lines(X,X),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',apart3) ).
cnf(6,axiom,
( ~ convergent_lines(X,Y)
| convergent_lines(X,Z)
| convergent_lines(Y,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ax6) ).
cnf(18,axiom,
( convergent_lines(X,Y)
| unorthogonal_lines(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+3.ax',occu1) ).
cnf(19,axiom,
( ~ convergent_lines(X,Y)
| ~ unorthogonal_lines(X,Y)
| convergent_lines(X,Z)
| unorthogonal_lines(Y,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+3.ax',oac1) ).
cnf(22,axiom,
~ unorthogonal_lines(orthogonal_through_point(X,Y),X),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+3.ax',ooc1) ).
cnf(29,axiom,
( unorthogonal_lines(X,Y)
| unorthogonal_lines(X,Z)
| ~ convergent_lines(Y,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+4.ax',couo1) ).
cnf(39,axiom,
( parallel_lines(X,Y)
| convergent_lines(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+6.ax',a3) ).
cnf(44,negated_conjecture,
~ parallel_lines('SKOLEMAAAU2',orthogonal_through_point(orthogonal_through_point('SKOLEMAAAU2','SKOLEMAAAU1'),'SKOLEMAAAU1')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
cnf(47,plain,
convergent_lines(orthogonal_through_point(X,Y),X),
inference('HYPERRESOLVE',[status(thm)],[22,18]) ).
cnf(56,plain,
convergent_lines('SKOLEMAAAU2',orthogonal_through_point(orthogonal_through_point('SKOLEMAAAU2','SKOLEMAAAU1'),'SKOLEMAAAU1')),
inference('HYPERRESOLVE',[status(thm)],[44,39]) ).
cnf(67,plain,
convergent_lines(X,orthogonal_through_point(X,Y)),
inference('UR-RESOLVE',[status(thm)],[6,47,3]) ).
cnf(101,plain,
~ unorthogonal_lines(X,orthogonal_through_point(X,Y)),
inference('UR-RESOLVE',[status(thm)],[19,67,3,22]) ).
cnf(128,plain,
~ convergent_lines(X,orthogonal_through_point(orthogonal_through_point(X,Y),Z)),
inference('UR-RESOLVE',[status(thm)],[29,101,22]) ).
cnf(129,plain,
$false,
inference('REWRITE',[status(thm)],[56,128]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : GEO222+3 : TPTP v8.1.0. Released v4.0.0.
% 0.09/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n021.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 10:51:31 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.45 #<PACKAGE "SNARK-USER">
% 0.18/0.45 *
% 0.18/0.45 SNARK-TPTP-OPTIONS
% 0.18/0.45 *
% 0.18/0.45 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.45 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.45 (USE-FACTORING :POS)
% 0.18/0.45 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.45 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.45 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.45 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.45 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.45 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.45 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.45 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.45 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.45 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.45 *
% 0.18/0.45 "."
% 0.18/0.45 *
% 0.18/0.45 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T10:51:31
% 0.18/0.45 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-18T10:51:31
% 0.18/0.51
% 0.18/0.51
% 0.18/0.51 #||
% 0.18/0.51 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.51 % SZS output start Refutation
% See solution above
% 0.18/0.52 ||#
% 0.18/0.52
% 0.18/0.52 ; Summary of computation:
% 0.18/0.52 ; 308 formulas have been input or derived (from 78 formulas).
% 0.18/0.52 ; 129 (42%) were retained. Of these,
% 0.18/0.52 ; 32 (25%) were simplified or subsumed later,
% 0.18/0.52 ; 97 (75%) are still being kept.
% 0.18/0.52 ;
% 0.18/0.52 ; Run time in seconds excluding printing time:
% 0.18/0.52 ; 0.010 16% Read assertion file (1 call)
% 0.18/0.52 ; 0.001 2% Assert (36 calls)
% 0.18/0.52 ; 0.008 13% Process new row (297 calls)
% 0.18/0.52 ; 0.012 20% Resolution (154 calls)
% 0.18/0.52 ; 0.000 0% Paramodulation (77 calls)
% 0.18/0.52 ; 0.000 0% Factoring (6 calls)
% 0.18/0.52 ; 0.000 0% Condensing (57 calls)
% 0.18/0.52 ; 0.001 2% Forward subsumption (57 calls)
% 0.18/0.52 ; 0.000 0% Backward subsumption (49 calls)
% 0.18/0.52 ; 0.001 2% Clause clause subsumption (60 calls)
% 0.18/0.52 ; 0.002 3% Forward simplification (297 calls)
% 0.18/0.52 ; 0.002 3% Backward simplification (129 calls)
% 0.18/0.52 ; 0.000 0% Ordering (37 calls)
% 0.18/0.52 ; 0.000 0% Sortal reasoning (32 calls)
% 0.18/0.52 ; 0.000 0% Purity testing (1 call)
% 0.18/0.52 ; 0.024 39% Other
% 0.18/0.52 ; 0.061 Total
% 0.18/0.52 ; 0.063 Real time
% 0.18/0.52 ;
% 0.18/0.52 ; Term-hash-array has 147 terms in all.
% 0.18/0.52 ; Feature-vector-row-index has 28 entries (38 at peak, 49 added, 21 deleted).
% 0.18/0.52 ; Feature-vector-row-index has 45 nodes (67 at peak, 75 added, 30 deleted).
% 0.18/0.52 ; Retrieved 46 possibly forward subsuming rows in 57 calls.
% 0.18/0.52 ; Retrieved 24 possibly backward subsumed rows in 49 calls.
% 0.18/0.52 ; Path-index has 110 entries (111 at peak, 152 added, 42 deleted).
% 0.18/0.52 ; Path-index has 354 nodes (358 at peak, 383 added, 29 deleted).
% 0.18/0.52 ; Trie-index has 110 entries (111 at peak, 152 added, 42 deleted).
% 0.18/0.52 ; Trie-index has 296 nodes (302 at peak, 348 added, 52 deleted).
% 0.18/0.52 ; Retrieved 454 generalization terms in 386 calls.
% 0.18/0.52 ; Retrieved 122 instance terms in 79 calls.
% 0.18/0.52 ; Retrieved 4,183 unifiable terms in 836 calls.
% 0.18/0.52 ;
% 0.18/0.52 ; The agenda of rows to process has 2 entries:
% 0.18/0.52 ; 2 with value 16
% 0.18/0.52 ; The agenda of rows to give has 40 entries:
% 0.18/0.52 ; 1 with value (4 10) 7 with value (4 12) 15 with value (4 14)
% 0.18/0.52 ; 9 with value (4 11) 6 with value (4 13) 2 with value (4 15)
% 0.18/0.52 Evaluation took:
% 0.18/0.52 0.063 seconds of real time
% 0.18/0.52 0.056395 seconds of user run time
% 0.18/0.52 0.007253 seconds of system run time
% 0.18/0.52 0 calls to %EVAL
% 0.18/0.52 0 page faults and
% 0.18/0.52 3,648,016 bytes consed.
% 0.18/0.52 :PROOF-FOUND
% 0.18/0.52 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T10:51:32
% 0.18/0.52 :PROOF-FOUND
% 0.18/0.52 *
%------------------------------------------------------------------------------