TSTP Solution File: GEO036-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO036-2 : TPTP v8.1.0. Released v1.0.0.
% 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 06:13:19 EDT 2022
% Result : Unsatisfiable 0.42s 0.59s
% Output : Refutation 0.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of clauses : 13 ( 9 unt; 3 nHn; 9 RR)
% Number of literals : 19 ( 10 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-4 aty)
% Number of variables : 16 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(identity_for_equidistance,axiom,
( ~ equidistant(X,Y,Z,Z)
| X = Y ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',identity_for_equidistance) ).
cnf(segment_construction1,axiom,
between(X,Y,extension(X,Y,Z,U)),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',segment_construction1) ).
cnf(segment_construction2,axiom,
equidistant(X,extension(Y,X,Z,U),Z,U),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',segment_construction2) ).
cnf(lower_dimension1,axiom,
~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',lower_dimension1) ).
cnf(lower_dimension2,axiom,
~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',lower_dimension2) ).
cnf(lower_dimension3,axiom,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',lower_dimension3) ).
cnf(prove_axioms_points_are_distinct,negated_conjecture,
( lower_dimension_point_1 = lower_dimension_point_2
| lower_dimension_point_2 = lower_dimension_point_3
| lower_dimension_point_1 = lower_dimension_point_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_axioms_points_are_distinct) ).
cnf(20,plain,
X = extension(Y,X,Z,Z),
inference('HYPERRESOLVE',[status(thm)],[identity_for_equidistance,segment_construction2]) ).
cnf(22,plain,
( lower_dimension_point_1 = lower_dimension_point_2
| lower_dimension_point_1 = lower_dimension_point_3
| ~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2) ),
inference('PARAMODULATE',[status(thm)],[lower_dimension1,prove_axioms_points_are_distinct,theory(equality)]) ).
cnf(39,plain,
between(X,Y,Y),
inference('PARAMODULATE',[status(thm)],[segment_construction1,20,theory(equality)]) ).
cnf(40,plain,
( lower_dimension_point_1 = lower_dimension_point_2
| lower_dimension_point_1 = lower_dimension_point_3 ),
inference('REWRITE',[status(thm)],[22,39]) ).
cnf(79,plain,
lower_dimension_point_1 = lower_dimension_point_2,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[lower_dimension2,40,theory(equality)]),39]) ).
cnf(82,plain,
$false,
inference('REWRITE',[status(thm)],[lower_dimension3,39,79,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GEO036-2 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n027.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 05:55:52 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T05:55:52
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-06-18T05:55:52
% 0.42/0.59
% 0.42/0.59
% 0.42/0.59 #||
% 0.42/0.59 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.42/0.59 % SZS output start Refutation
% See solution above
% 0.42/0.59 ||#
% 0.42/0.59
% 0.42/0.59 ; Summary of computation:
% 0.42/0.59 ; 616 formulas have been input or derived (from 25 formulas).
% 0.42/0.59 ; 82 (13%) were retained. Of these,
% 0.42/0.59 ; 15 (18%) were simplified or subsumed later,
% 0.42/0.59 ; 67 (82%) are still being kept.
% 0.42/0.59 ;
% 0.42/0.59 ; Run time in seconds excluding printing time:
% 0.42/0.59 ; 0.006 5% Read assertion file (1 call)
% 0.42/0.59 ; 0.001 1% Assert (19 calls)
% 0.42/0.59 ; 0.007 5% Process new row (385 calls)
% 0.42/0.59 ; 0.075 59% Resolution (48 calls)
% 0.42/0.59 ; 0.001 1% Paramodulation (24 calls)
% 0.42/0.59 ; 0.001 1% Factoring (2 calls)
% 0.42/0.59 ; 0.001 1% Condensing (46 calls)
% 0.42/0.59 ; 0.002 2% Forward subsumption (46 calls)
% 0.42/0.59 ; 0.002 2% Backward subsumption (36 calls)
% 0.42/0.59 ; 0.001 1% Clause clause subsumption (97 calls)
% 0.42/0.59 ; 0.007 5% Forward simplification (385 calls)
% 0.42/0.59 ; 0.001 1% Backward simplification (82 calls)
% 0.42/0.59 ; 0.000 0% Ordering (68 calls)
% 0.42/0.59 ; 0.000 0% Sortal reasoning (32 calls)
% 0.42/0.59 ; 0.000 0% Purity testing (1 call)
% 0.42/0.59 ; 0.023 18% Other
% 0.42/0.59 ; 0.128 Total
% 0.42/0.59 ; 0.129 Real time
% 0.42/0.59 ;
% 0.42/0.59 ; Term-hash-array has 158 terms in all.
% 0.42/0.59 ; Feature-vector-row-index has 28 entries (30 at peak, 36 added, 8 deleted).
% 0.42/0.59 ; Feature-vector-row-index has 56 nodes (71 at peak, 94 added, 38 deleted).
% 0.42/0.59 ; Retrieved 65 possibly forward subsuming rows in 46 calls.
% 0.42/0.59 ; Retrieved 34 possibly backward subsumed rows in 36 calls.
% 0.42/0.59 ; Path-index has 143 entries (146 at peak, 168 added, 25 deleted).
% 0.42/0.59 ; Path-index has 640 nodes (645 at peak, 662 added, 22 deleted).
% 0.42/0.59 ; Trie-index has 143 entries (146 at peak, 168 added, 25 deleted).
% 0.42/0.59 ; Trie-index has 734 nodes (741 at peak, 778 added, 44 deleted).
% 0.42/0.59 ; Retrieved 1,019 generalization terms in 663 calls.
% 0.42/0.59 ; Retrieved 137 instance terms in 45 calls.
% 0.42/0.59 ; Retrieved 84,214 unifiable terms in 6,104 calls.
% 0.42/0.59 ;
% 0.42/0.59 ; The agenda of backward simplifiable rows to process has 2 entries:
% 0.42/0.59 ; 2 with value 0
% 0.42/0.59 ; The agenda of rows to process has 1 entry:
% 0.42/0.59 ; 1 with value 11
% 0.42/0.59 ; The agenda of input rows to give has 2 entries:
% 0.42/0.59 ; 2 with value 5
% 0.42/0.59 ; The agenda of rows to give has 45 entries:
% 0.42/0.59 ; 1 with value (4 6) 1 with value (4 19) 2 with value (4 32)
% 0.42/0.59 ; 2 with value (4 12) 6 with value (4 23) 2 with value (4 33)
% 0.42/0.59 ; 1 with value (4 13) 2 with value (4 24) 3 with value (4 36)
% 0.42/0.59 ; 2 with value (4 14) 1 with value (4 25) 2 with value (4 37)
% 0.42/0.59 ; 1 with value (4 15) 1 with value (4 26) 1 with value (4 40)
% 0.42/0.59 ; 1 with value (4 16) 6 with value (4 27) 1 with value (4 42)
% 0.42/0.59 ; 1 with value (4 17) 1 with value (4 28) 1 with value (4 53)
% 0.42/0.59 ; 3 with value (4 18) 2 with value (4 29) 1 with value (4 54)
% 0.42/0.59 Evaluation took:
% 0.42/0.59 0.129 seconds of real time
% 0.42/0.59 0.121191 seconds of user run time
% 0.42/0.59 0.008505 seconds of system run time
% 0.42/0.59 0 calls to %EVAL
% 0.42/0.59 0 page faults and
% 0.42/0.59 7,034,088 bytes consed.
% 0.42/0.59 :PROOF-FOUND
% 0.42/0.59 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T05:55:52
% 0.42/0.59 :PROOF-FOUND
% 0.42/0.59 *
%------------------------------------------------------------------------------