TSTP Solution File: GEO036-3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO036-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n029.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 06:13:20 EDT 2022
% Result : Unsatisfiable 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of clauses : 10 ( 7 unt; 2 nHn; 7 RR)
% Number of literals : 15 ( 8 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 8 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(lower_dimension2,axiom,
~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GEO002-0.ax',lower_dimension3) ).
cnf(t3,axiom,
between(X,Y,Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3) ).
cnf(b1,axiom,
( ~ between(X,Y,Z)
| X != Z
| between(U,Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b1) ).
cnf(t2,axiom,
between(X,X,Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2) ).
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/sandbox/benchmark/theBenchmark.p',prove_axioms_points_are_distinct) ).
cnf(76,plain,
( lower_dimension_point_1 = lower_dimension_point_2
| lower_dimension_point_1 = lower_dimension_point_3 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[lower_dimension2,prove_axioms_points_are_distinct,theory(equality)]),t2]) ).
cnf(83,plain,
lower_dimension_point_1 != lower_dimension_point_2,
inference('UR-RESOLVE',[status(thm)],[b1,t2,lower_dimension3]) ).
cnf(84,plain,
lower_dimension_point_1 = lower_dimension_point_3,
inference('REWRITE',[status(thm)],[76,83]) ).
cnf(86,plain,
$false,
inference('REWRITE',[status(thm)],[lower_dimension2,t3,84,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO036-3 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n029.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 01:30:43 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 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (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 2022-06-18T01:30:44
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-06-18T01:30:44
% 0.20/0.50
% 0.20/0.54 ; Recognized relation function assertion (|between| ?X ?Y (|reflection| ?X ?Y)).
% 0.20/0.54
% 0.20/0.54 #||
% 0.20/0.54 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.54 % SZS output start Refutation
% See solution above
% 0.20/0.54 ||#
% 0.20/0.54
% 0.20/0.54 ; Summary of computation:
% 0.20/0.54 ; 292 formulas have been input or derived (from 32 formulas).
% 0.20/0.54 ; 86 (29%) were retained. Of these,
% 0.20/0.54 ; 14 (16%) were simplified or subsumed later,
% 0.20/0.54 ; 72 (84%) are still being kept.
% 0.20/0.54 ;
% 0.20/0.54 ; Run time in seconds excluding printing time:
% 0.20/0.54 ; 0.013 22% Read assertion file (1 call)
% 0.20/0.54 ; 0.002 3% Assert (58 calls)
% 0.20/0.54 ; 0.009 15% Process new row (187 calls)
% 0.20/0.54 ; 0.003 5% Resolution (62 calls)
% 0.20/0.54 ; 0.001 2% Paramodulation (31 calls)
% 0.20/0.54 ; 0.000 0% Factoring (1 call)
% 0.20/0.54 ; 0.002 3% Condensing (45 calls)
% 0.20/0.54 ; 0.000 0% Forward subsumption (45 calls)
% 0.20/0.54 ; 0.001 2% Backward subsumption (41 calls)
% 0.20/0.54 ; 0.003 5% Clause clause subsumption (180 calls)
% 0.20/0.54 ; 0.002 3% Forward simplification (184 calls)
% 0.20/0.54 ; 0.002 3% Backward simplification (85 calls)
% 0.20/0.54 ; 0.001 2% Ordering (58 calls)
% 0.20/0.54 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.54 ; 0.000 0% Purity testing (1 call)
% 0.20/0.54 ; 0.021 35% Other
% 0.20/0.54 ; 0.060 Total
% 0.20/0.54 ; 0.062 Real time
% 0.20/0.54 ;
% 0.20/0.54 ; Term-hash-array has 129 terms in all.
% 0.20/0.54 ; Feature-vector-row-index has 39 entries (40 at peak, 41 added, 2 deleted).
% 0.20/0.54 ; Feature-vector-row-index has 45 nodes (52 at peak, 59 added, 14 deleted).
% 0.20/0.54 ; Retrieved 81 possibly forward subsuming rows in 45 calls.
% 0.20/0.54 ; Retrieved 102 possibly backward subsumed rows in 41 calls.
% 0.20/0.54 ; Path-index has 117 entries (129 at peak, 136 added, 19 deleted).
% 0.20/0.54 ; Path-index has 269 nodes (287 at peak, 296 added, 27 deleted).
% 0.20/0.54 ; Trie-index has 117 entries (129 at peak, 136 added, 19 deleted).
% 0.20/0.54 ; Trie-index has 200 nodes (242 at peak, 256 added, 56 deleted).
% 0.20/0.54 ; Retrieved 433 generalization terms in 296 calls.
% 0.20/0.54 ; Retrieved 147 instance terms in 43 calls.
% 0.20/0.54 ; Retrieved 2,562 unifiable terms in 228 calls.
% 0.20/0.54 ;
% 0.20/0.54 ; The agenda of backward simplifiable rows to process has 8 entries:
% 0.20/0.54 ; 8 with value 0
% 0.20/0.54 ; The agenda of rows to process has 48 entries:
% 0.20/0.54 ; 1 with value 5 13 with value 11 4 with value 15
% 0.20/0.54 ; 9 with value 6 7 with value 12 1 with value 16
% 0.20/0.54 ; 9 with value 9 4 with value 13
% 0.20/0.54 ; The agenda of input rows to give has 24 entries:
% 0.20/0.54 ; 1 with value 5 2 with value 21 1 with value 30
% 0.20/0.54 ; 2 with value 14 1 with value 23 1 with value 34
% 0.20/0.54 ; 4 with value 15 1 with value 24 1 with value 35
% 0.20/0.54 ; 3 with value 18 2 with value 25 1 with value 37
% 0.20/0.54 ; 2 with value 19 1 with value 28 1 with value 44
% 0.20/0.54 ; The agenda of rows to give has 20 entries:
% 0.20/0.54 ; 2 with value (4 5) 8 with value (4 10) 7 with value (4 12)
% 0.20/0.54 ; 1 with value (4 9) 1 with value (4 11) 1 with value (4 13)
% 0.20/0.54 Evaluation took:
% 0.20/0.54 0.062 seconds of real time
% 0.20/0.54 0.056177 seconds of user run time
% 0.20/0.54 0.006269 seconds of system run time
% 0.20/0.54 0 calls to %EVAL
% 0.20/0.54 0 page faults and
% 0.20/0.54 3,226,160 bytes consed.
% 0.20/0.54 :PROOF-FOUND
% 0.20/0.54 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T01:30:44
% 0.20/0.54 :PROOF-FOUND
% 0.20/0.54 *
%------------------------------------------------------------------------------