%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO223+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n025.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 06:15:10 EDT 2022
% Result : Theorem 0.18s 0.55s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 14
% Syntax : Number of clauses : 25 ( 16 unt; 8 nHn; 14 RR)
% Number of literals : 43 ( 0 equ; 19 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 3 ( 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 : 52 ( 15 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
~ distinct_lines(X,X),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',apart2) ).
cnf(3,axiom,
~ convergent_lines(X,X),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',apart3) ).
cnf(5,axiom,
( ~ distinct_lines(X,Y)
| distinct_lines(X,Z)
| distinct_lines(Y,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',apart5) ).
cnf(6,axiom,
( ~ convergent_lines(X,Y)
| convergent_lines(X,Z)
| convergent_lines(Y,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ax6) ).
cnf(13,axiom,
( ~ apart_point_and_line(X,Y)
| distinct_lines(Y,Z)
| apart_point_and_line(X,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ceq2) ).
cnf(15,axiom,
( ~ distinct_lines(X,Y)
| convergent_lines(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+1.ax',p1) ).
cnf(16,axiom,
~ convergent_lines(parallel_through_point(X,Y),X),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+2.ax',cp1) ).
cnf(17,axiom,
~ apart_point_and_line(X,parallel_through_point(Y,X)),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+2.ax',cp2) ).
cnf(18,axiom,
( convergent_lines(X,Y)
| unorthogonal_lines(X,Y) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/GEO006+3.ax',oac1) ).
cnf(22,axiom,
~ unorthogonal_lines(orthogonal_through_point(X,Y),X),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+3.ax',ooc1) ).
cnf(24,axiom,
( ~ distinct_lines(X,Y)
| apart_point_and_line(Z,X)
| apart_point_and_line(Z,Y)
| unorthogonal_lines(X,U)
| unorthogonal_lines(Y,U) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+3.ax',ouo1) ).
cnf(37,axiom,
( equal_lines(X,Y)
| distinct_lines(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+6.ax',ax2) ).
cnf(44,negated_conjecture,
~ equal_lines(parallel_through_point('SKOLEMAAAV2','SKOLEMAAAV1'),orthogonal_through_point(orthogonal_through_point('SKOLEMAAAV2','SKOLEMAAAV1'),'SKOLEMAAAV1')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
cnf(45,plain,
~ distinct_lines(parallel_through_point(X,Y),X),
inference('UR-RESOLVE',[status(thm)],[15,16]) ).
cnf(47,plain,
convergent_lines(orthogonal_through_point(X,Y),X),
inference('HYPERRESOLVE',[status(thm)],[22,18]) ).
cnf(56,plain,
~ convergent_lines(X,parallel_through_point(X,Y)),
inference('UR-RESOLVE',[status(thm)],[6,3,16]) ).
cnf(58,plain,
distinct_lines(parallel_through_point('SKOLEMAAAV2','SKOLEMAAAV1'),orthogonal_through_point(orthogonal_through_point('SKOLEMAAAV2','SKOLEMAAAV1'),'SKOLEMAAAV1')),
inference('HYPERRESOLVE',[status(thm)],[44,37]) ).
cnf(61,plain,
~ distinct_lines(X,parallel_through_point(X,Y)),
inference('UR-RESOLVE',[status(thm)],[5,45,2]) ).
cnf(79,plain,
convergent_lines(orthogonal_through_point(X,Y),parallel_through_point(X,Z)),
inference('UR-RESOLVE',[status(thm)],[6,56,47]) ).
cnf(84,plain,
~ apart_point_and_line(X,Y),
inference('UR-RESOLVE',[status(thm)],[13,61,17]) ).
cnf(85,plain,
( ~ distinct_lines(X,Y)
| unorthogonal_lines(X,Z)
| unorthogonal_lines(Y,Z) ),
inference('REWRITE',[status(thm)],[24,84]) ).
cnf(136,plain,
convergent_lines(parallel_through_point(X,Y),orthogonal_through_point(X,Z)),
inference('UR-RESOLVE',[status(thm)],[6,79,3]) ).
cnf(247,plain,
~ unorthogonal_lines(parallel_through_point(X,Y),orthogonal_through_point(X,Z)),
inference('UR-RESOLVE',[status(thm)],[19,136,16,22]) ).
cnf(255,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[85,58,22]),247]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GEO223+3 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n025.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 18:41:28 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T18:41:28
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-18T18:41:28
% 0.18/0.55
% 0.18/0.55
% 0.18/0.55 #||
% 0.18/0.55 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.55 % SZS output start Refutation
% See solution above
% 0.18/0.56 ||#
% 0.18/0.56
% 0.18/0.56 ; Summary of computation:
% 0.18/0.56 ; 729 formulas have been input or derived (from 104 formulas).
% 0.18/0.56 ; 255 (35%) were retained. Of these,
% 0.18/0.56 ; 37 (15%) were simplified or subsumed later,
% 0.18/0.56 ; 218 (85%) are still being kept.
% 0.18/0.56 ;
% 0.18/0.56 ; Run time in seconds excluding printing time:
% 0.18/0.56 ; 0.011 12% Read assertion file (1 call)
% 0.18/0.56 ; 0.001 1% Assert (36 calls)
% 0.18/0.56 ; 0.020 21% Process new row (687 calls)
% 0.18/0.56 ; 0.020 21% Resolution (206 calls)
% 0.18/0.56 ; 0.002 2% Paramodulation (103 calls)
% 0.18/0.56 ; 0.000 0% Factoring (6 calls)
% 0.18/0.56 ; 0.001 1% Condensing (99 calls)
% 0.18/0.56 ; 0.002 2% Forward subsumption (99 calls)
% 0.18/0.56 ; 0.000 0% Backward subsumption (85 calls)
% 0.18/0.56 ; 0.001 1% Clause clause subsumption (187 calls)
% 0.18/0.56 ; 0.010 11% Forward simplification (687 calls)
% 0.18/0.56 ; 0.003 3% Backward simplification (255 calls)
% 0.18/0.56 ; 0.000 0% Ordering (115 calls)
% 0.18/0.56 ; 0.000 0% Sortal reasoning (32 calls)
% 0.18/0.56 ; 0.001 1% Purity testing (1 call)
% 0.18/0.56 ; 0.023 24% Other
% 0.18/0.56 ; 0.095 Total
% 0.18/0.56 ; 0.097 Real time
% 0.18/0.56 ;
% 0.18/0.56 ; Term-hash-array has 306 terms in all.
% 0.18/0.56 ; Feature-vector-row-index has 58 entries (58 at peak, 85 added, 27 deleted).
% 0.18/0.56 ; Feature-vector-row-index has 98 nodes (100 at peak, 133 added, 35 deleted).
% 0.18/0.56 ; Retrieved 159 possibly forward subsuming rows in 99 calls.
% 0.18/0.56 ; Retrieved 52 possibly backward subsumed rows in 85 calls.
% 0.18/0.56 ; Path-index has 264 entries (264 at peak, 313 added, 49 deleted).
% 0.18/0.56 ; Path-index has 652 nodes (652 at peak, 677 added, 25 deleted).
% 0.18/0.56 ; Trie-index has 264 entries (264 at peak, 313 added, 49 deleted).
% 0.18/0.56 ; Trie-index has 792 nodes (792 at peak, 838 added, 46 deleted).
% 0.18/0.56 ; Retrieved 1,427 generalization terms in 891 calls.
% 0.18/0.56 ; Retrieved 222 instance terms in 169 calls.
% 0.18/0.56 ; Retrieved 15,902 unifiable terms in 1,903 calls.
% 0.18/0.56 ;
% 0.18/0.56 ; The agenda of rows to process has 16 entries:
% 0.18/0.56 ; 1 with value 12 1 with value 16 2 with value 18
% 0.18/0.56 ; 7 with value 14 1 with value 17 3 with value 19
% 0.18/0.56 ; 1 with value 15
% 0.18/0.56 ; The agenda of rows to give has 135 entries:
% 0.18/0.56 ; 25 with value (4 13) 19 with value (4 16) 12 with value (4 19)
% 0.18/0.56 ; 15 with value (4 14) 17 with value (4 17) 16 with value (4 27)
% 0.18/0.56 ; 15 with value (4 15) 16 with value (4 18)
% 0.18/0.56 Evaluation took:
% 0.18/0.56 0.097 seconds of real time
% 0.18/0.56 0.083253 seconds of user run time
% 0.18/0.56 0.014328 seconds of system run time
% 0.18/0.56 0 calls to %EVAL
% 0.18/0.56 0 page faults and
% 0.18/0.56 6,232,456 bytes consed.
% 0.18/0.56 :PROOF-FOUND
% 0.18/0.56 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T18:41:28
% 0.18/0.56 :PROOF-FOUND
% 0.18/0.56 *
%------------------------------------------------------------------------------