TSTP Solution File: GEO037-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO037-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n005.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 0.56s 0.73s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of clauses : 19 ( 15 unt; 0 nHn; 9 RR)
% Number of literals : 25 ( 6 equ; 7 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 : 8 ( 8 usr; 7 con; 0-4 aty)
% Number of variables : 39 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(reflexivity_for_equidistance,axiom,
equidistant(X,Y,Y,X),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',reflexivity_for_equidistance) ).
cnf(transitivity_for_equidistance,axiom,
( ~ equidistant(X,Y,Z,U)
| ~ equidistant(X,Y,V,W)
| equidistant(Z,U,V,W) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',transitivity_for_equidistance) ).
cnf(identity_for_equidistance,axiom,
( ~ equidistant(X,Y,Z,Z)
| X = Y ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',identity_for_equidistance) ).
cnf(segment_construction1,axiom,
between(X,Y,extension(X,Y,Z,U)),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',segment_construction1) ).
cnf(segment_construction2,axiom,
equidistant(X,extension(Y,X,Z,U),Z,U),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',segment_construction2) ).
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(prove_lengthen,negated_conjecture,
( v = extension(u,v,lower_dimension_point_1,lower_dimension_point_2)
| ~ equidistant(v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2),x,extension(w,x,lower_dimension_point_1,lower_dimension_point_2))
| ~ between(u,v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_lengthen) ).
cnf(20,plain,
( v = extension(u,v,lower_dimension_point_1,lower_dimension_point_2)
| ~ equidistant(v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2),x,extension(w,x,lower_dimension_point_1,lower_dimension_point_2)) ),
inference('REWRITE',[status(thm)],[prove_lengthen,segment_construction1]) ).
cnf(21,plain,
X = extension(Y,X,Z,Z),
inference('HYPERRESOLVE',[status(thm)],[identity_for_equidistance,segment_construction2]) ).
cnf(22,plain,
equidistant(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[transitivity_for_equidistance,reflexivity_for_equidistance,reflexivity_for_equidistance]) ).
cnf(32,plain,
equidistant(X,Y,Z,extension(U,Z,X,Y)),
inference('HYPERRESOLVE',[status(thm)],[transitivity_for_equidistance,22,segment_construction2]) ).
cnf(38,plain,
between(X,Y,Y),
inference('PARAMODULATE',[status(thm)],[segment_construction1,21,theory(equality)]) ).
cnf(39,plain,
equidistant(X,X,Y,Y),
inference('PARAMODULATE',[status(thm)],[segment_construction2,21,theory(equality)]) ).
cnf(90,plain,
equidistant(X,extension(Y,X,Z,U),V,extension(W,V,Z,U)),
inference('HYPERRESOLVE',[status(thm)],[transitivity_for_equidistance,32,32]) ).
cnf(91,plain,
v = extension(u,v,lower_dimension_point_1,lower_dimension_point_2),
inference('REWRITE',[status(thm)],[20,90]) ).
cnf(128,plain,
equidistant(v,v,lower_dimension_point_1,lower_dimension_point_2),
inference('PARAMODULATE',[status(thm)],[segment_construction2,91,theory(equality)]) ).
cnf(130,plain,
equidistant(lower_dimension_point_1,lower_dimension_point_2,X,X),
inference('HYPERRESOLVE',[status(thm)],[transitivity_for_equidistance,128,39]) ).
cnf(132,plain,
lower_dimension_point_1 = lower_dimension_point_2,
inference('HYPERRESOLVE',[status(thm)],[identity_for_equidistance,130]) ).
cnf(135,plain,
$false,
inference('REWRITE',[status(thm)],[lower_dimension3,38,132,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO037-2 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n005.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Fri Jun 17 20:55:38 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.46 *
% 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/sandbox/benchmark/theBenchmark.p 2022-06-17T20:55:38
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-06-17T20:55:38
% 0.56/0.73
% 0.56/0.73
% 0.56/0.73 #||
% 0.56/0.73 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.56/0.73 % SZS output start Refutation
% See solution above
% 0.56/0.73 ||#
% 0.56/0.73
% 0.56/0.73 ; Summary of computation:
% 0.56/0.73 ; 1287 formulas have been input or derived (from 30 formulas).
% 0.56/0.73 ; 135 (10%) were retained. Of these,
% 0.56/0.73 ; 24 (18%) were simplified or subsumed later,
% 0.56/0.73 ; 111 (82%) are still being kept.
% 0.56/0.73 ;
% 0.56/0.73 ; Run time in seconds excluding printing time:
% 0.56/0.73 ; 0.006 2% Read assertion file (1 call)
% 0.56/0.73 ; 0.001 0% Assert (19 calls)
% 0.56/0.73 ; 0.014 5% Process new row (787 calls)
% 0.56/0.73 ; 0.204 76% Resolution (58 calls)
% 0.56/0.73 ; 0.001 0% Paramodulation (29 calls)
% 0.56/0.73 ; 0.002 1% Condensing (58 calls)
% 0.56/0.73 ; 0.001 0% Forward subsumption (58 calls)
% 0.56/0.73 ; 0.000 0% Backward subsumption (45 calls)
% 0.56/0.73 ; 0.001 0% Clause clause subsumption (190 calls)
% 0.56/0.73 ; 0.008 3% Forward simplification (758 calls)
% 0.56/0.73 ; 0.004 1% Backward simplification (134 calls)
% 0.56/0.73 ; 0.001 0% Ordering (84 calls)
% 0.56/0.73 ; 0.000 0% Sortal reasoning (32 calls)
% 0.56/0.73 ; 0.000 0% Purity testing (1 call)
% 0.56/0.73 ; 0.026 10% Other
% 0.56/0.73 ; 0.269 Total
% 0.56/0.73 ; 0.272 Real time
% 0.56/0.73 ;
% 0.56/0.73 ; Term-hash-array has 287 terms in all.
% 0.56/0.73 ; Feature-vector-row-index has 36 entries (36 at peak, 45 added, 9 deleted).
% 0.56/0.73 ; Feature-vector-row-index has 65 nodes (91 at peak, 110 added, 45 deleted).
% 0.56/0.73 ; Retrieved 144 possibly forward subsuming rows in 58 calls.
% 0.56/0.73 ; Retrieved 61 possibly backward subsumed rows in 45 calls.
% 0.56/0.73 ; Path-index has 255 entries (262 at peak, 306 added, 51 deleted).
% 0.56/0.73 ; Path-index has 910 nodes (931 at peak, 992 added, 82 deleted).
% 0.56/0.73 ; Trie-index has 255 entries (262 at peak, 306 added, 51 deleted).
% 0.56/0.73 ; Trie-index has 1,357 nodes (1,381 at peak, 1,545 added, 188 deleted).
% 0.56/0.73 ; Retrieved 3,618 generalization terms in 1,954 calls.
% 0.56/0.73 ; Retrieved 221 instance terms in 88 calls.
% 0.56/0.73 ; Retrieved 246,080 unifiable terms in 16,746 calls.
% 0.56/0.73 ;
% 0.56/0.73 ; The agenda of backward simplifiable rows to process has 3 entries:
% 0.56/0.73 ; 3 with value 0
% 0.56/0.73 ; The agenda of rows to process has 98 entries:
% 0.56/0.73 ; 12 with value 10 8 with value 17 20 with value 28
% 0.56/0.73 ; 1 with value 13 20 with value 19 1 with value 33
% 0.56/0.73 ; 8 with value 14 4 with value 22 1 with value 34
% 0.56/0.73 ; 8 with value 15 1 with value 23 1 with value 39
% 0.56/0.73 ; 8 with value 16 4 with value 25 1 with value 42
% 0.56/0.73 ; The agenda of input rows to give has 2 entries:
% 0.56/0.73 ; 2 with value 5
% 0.56/0.73 ; The agenda of rows to give has 86 entries:
% 0.56/0.73 ; 1 with value (4 8) 1 with value (4 26) 2 with value (4 40)
% 0.56/0.73 ; 2 with value (4 13) 7 with value (4 27) 1 with value (4 41)
% 0.56/0.73 ; 4 with value (4 14) 1 with value (4 28) 4 with value (4 42)
% 0.56/0.73 ; 1 with value (4 15) 2 with value (4 29) 2 with value (4 44)
% 0.56/0.73 ; 1 with value (4 16) 1 with value (4 30) 3 with value (4 45)
% 0.56/0.73 ; 2 with value (4 17) 3 with value (4 32) 1 with value (4 48)
% 0.56/0.73 ; 10 with value (4 18) 2 with value (4 33) 3 with value (4 49)
% 0.56/0.73 ; 5 with value (4 19) 1 with value (4 35) 1 with value (4 53)
% 0.56/0.73 ; 2 with value (4 21) 3 with value (4 36) 1 with value (4 54)
% 0.56/0.73 ; 6 with value (4 23) 4 with value (4 37) 1 with value (4 59)
% 0.56/0.73 ; 4 with value (4 24) 1 with value (4 38) 1 with value (4 62)
% 0.56/0.73 ; 2 with value (4 25)
% 0.56/0.73 Evaluation took:
% 0.56/0.73 0.272 seconds of real time
% 0.56/0.73 0.259807 seconds of user run time
% 0.56/0.73 0.012168 seconds of system run time
% 0.56/0.73 [Run times include 0.006 seconds GC run time.]
% 0.56/0.73 0 calls to %EVAL
% 0.56/0.73 0 page faults and
% 0.56/0.73 15,899,344 bytes consed.
% 0.56/0.73 :PROOF-FOUND
% 0.56/0.73 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-17T20:55:39
% 0.56/0.74 :PROOF-FOUND
% 0.56/0.74 *
%------------------------------------------------------------------------------