TSTP Solution File: GEO063-3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO063-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n027.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 06:13:34 EDT 2022
% Result : Unsatisfiable 0.40s 0.61s
% Output : Refutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 7 ( 6 unt; 1 nHn; 5 RR)
% Number of literals : 9 ( 6 equ; 4 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-4 aty)
% Number of variables : 12 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(insertion,axiom,
insertion(X,Y,Z,U) = extension(extension(Y,X,lower_dimension_point_1,lower_dimension_point_2),X,Z,U),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-3.ax',insertion) ).
cnf(d10_2,axiom,
( ~ equidistant(X,Y,Z,U)
| extension(V,W,X,Y) = extension(V,W,Z,U)
| V = W ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_2) ).
cnf(e3_1,axiom,
X != extension(Y,X,lower_dimension_point_1,lower_dimension_point_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e3_1) ).
cnf(w_to_x_equals_y_to_z,hypothesis,
equidistant(w,x,y,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',w_to_x_equals_y_to_z) ).
cnf(prove_equality_of_insertions,negated_conjecture,
insertion(u,v,w,x) != insertion(u,v,y,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_equality_of_insertions) ).
cnf(78,plain,
extension(extension(v,u,lower_dimension_point_1,lower_dimension_point_2),u,w,x) != extension(extension(v,u,lower_dimension_point_1,lower_dimension_point_2),u,y,z),
inference('REWRITE',[status(thm)],[prove_equality_of_insertions,insertion,theory(equality)]) ).
cnf(280,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[d10_2,w_to_x_equals_y_to_z,78,e3_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO063-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.04/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 18 12:30:38 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T12:30:38
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-06-18T12:30:38
% 0.20/0.51
% 0.40/0.61 ; Recognized relation function assertion (|between| ?X ?Y (|reflection| ?X ?Y)).
% 0.40/0.61
% 0.40/0.61 #||
% 0.40/0.61 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.40/0.61 % SZS output start Refutation
% See solution above
% 0.40/0.61 ||#
% 0.40/0.61
% 0.40/0.61 ; Summary of computation:
% 0.40/0.61 ; 1128 formulas have been input or derived (from 55 formulas).
% 0.40/0.61 ; 280 (25%) were retained. Of these,
% 0.40/0.61 ; 8 ( 3%) were simplified or subsumed later,
% 0.40/0.61 ; 272 (97%) are still being kept.
% 0.40/0.61 ;
% 0.40/0.61 ; Run time in seconds:
% 0.40/0.61 ; 0.017 13% Read assertion file (1 call)
% 0.40/0.61 ; 0.003 2% Assert (76 calls)
% 0.40/0.61 ; 0.019 15% Process new row (868 calls)
% 0.40/0.61 ; 0.031 24% Resolution (108 calls)
% 0.40/0.61 ; 0.001 1% Paramodulation (54 calls)
% 0.40/0.61 ; 0.000 0% Factoring (1 call)
% 0.40/0.61 ; 0.002 2% Condensing (66 calls)
% 0.40/0.61 ; 0.000 0% Forward subsumption (66 calls)
% 0.40/0.61 ; 0.003 2% Backward subsumption (62 calls)
% 0.40/0.61 ; 0.002 2% Clause clause subsumption (259 calls)
% 0.40/0.61 ; 0.014 11% Forward simplification (868 calls)
% 0.40/0.61 ; 0.004 3% Backward simplification (274 calls)
% 0.40/0.61 ; 0.002 2% Ordering (137 calls)
% 0.40/0.61 ; 0.000 0% Sortal reasoning (32 calls)
% 0.40/0.61 ; 0.001 1% Purity testing (1 call)
% 0.40/0.61 ; 0.031 24% Other
% 0.40/0.61 ; 0.130 Total
% 0.40/0.61 ; 0.131 Real time
% 0.40/0.61 ;
% 0.40/0.61 ; Term-hash-array has 451 terms in all.
% 0.40/0.61 ; Feature-vector-row-index has 62 entries (62 at peak, 62 added, 0 deleted).
% 0.40/0.61 ; Feature-vector-row-index has 121 nodes (121 at peak, 121 added, 0 deleted).
% 0.40/0.61 ; Retrieved 145 possibly forward subsuming rows in 66 calls.
% 0.40/0.61 ; Retrieved 118 possibly backward subsumed rows in 62 calls.
% 0.40/0.61 ; Path-index has 456 entries (456 at peak, 460 added, 4 deleted).
% 0.40/0.61 ; Path-index has 1,310 nodes (1,310 at peak, 1,317 added, 7 deleted).
% 0.40/0.61 ; Trie-index has 456 entries (456 at peak, 460 added, 4 deleted).
% 0.40/0.61 ; Trie-index has 2,091 nodes (2,091 at peak, 2,104 added, 13 deleted).
% 0.40/0.61 ; Retrieved 2,993 generalization terms in 1,610 calls.
% 0.40/0.61 ; Retrieved 486 instance terms in 211 calls.
% 0.40/0.61 ; Retrieved 25,391 unifiable terms in 1,103 calls.
% 0.40/0.61 ;
% 0.40/0.61 ; The agenda of rows to process has 80 entries:
% 0.40/0.61 ; 2 with value 7 6 with value 19 2 with value 31
% 0.40/0.61 ; 1 with value 10 1 with value 21 8 with value 48
% 0.40/0.61 ; 24 with value 14 15 with value 23 2 with value 50
% 0.40/0.61 ; 6 with value 17 2 with value 25 2 with value 52
% 0.40/0.61 ; 4 with value 18 3 with value 27 2 with value 56
% 0.40/0.61 ; The agenda of input rows to give has 16 entries:
% 0.40/0.61 ; 1 with value 24 2 with value 28 1 with value 37
% 0.40/0.61 ; 3 with value 25 1 with value 30 2 with value 40
% 0.40/0.61 ; 1 with value 26 1 with value 34 1 with value 44
% 0.40/0.61 ; 1 with value 27 1 with value 35 1 with value 49
% 0.40/0.61 ; The agenda of rows to give has 201 entries:
% 0.40/0.61 ; 9 with value (4 6) 6 with value (4 16) 1 with value (4 29)
% 0.40/0.61 ; 19 with value (4 7) 11 with value (4 17) 4 with value (4 32)
% 0.40/0.61 ; 6 with value (4 8) 5 with value (4 18) 2 with value (4 34)
% 0.40/0.61 ; 11 with value (4 9) 11 with value (4 19) 1 with value (4 36)
% 0.40/0.61 ; 12 with value (4 10) 6 with value (4 20) 2 with value (4 41)
% 0.40/0.61 ; 14 with value (4 11) 6 with value (4 21) 2 with value (4 43)
% 0.40/0.61 ; 26 with value (4 12) 5 with value (4 23) 2 with value (4 45)
% 0.40/0.61 ; 2 with value (4 13) 7 with value (4 25) 2 with value (4 62)
% 0.40/0.61 ; 8 with value (4 14) 1 with value (4 27) 2 with value (4 73)
% 0.40/0.61 ; 15 with value (4 15) 1 with value (4 28) 2 with value (4 77)
% 0.40/0.61 Evaluation took:
% 0.40/0.61 0.131 seconds of real time
% 0.40/0.61 0.117151 seconds of user run time
% 0.40/0.61 0.014005 seconds of system run time
% 0.40/0.61 0 calls to %EVAL
% 0.40/0.61 0 page faults and
% 0.40/0.61 6,387,848 bytes consed.
% 0.40/0.61 :PROOF-FOUND
% 0.40/0.61 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T12:30:38
% 0.40/0.61 :PROOF-FOUND
% 0.40/0.61 *
%------------------------------------------------------------------------------