TSTP Solution File: GEO053-3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO053-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n021.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 06:13:29 EDT 2022
% Result : Unsatisfiable 0.56s 0.73s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of clauses : 13 ( 8 unt; 0 nHn; 11 RR)
% Number of literals : 22 ( 6 equ; 11 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-4 aty)
% Number of variables : 26 ( 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/sandbox2/benchmark/Axioms/GEO002-3.ax',insertion) ).
cnf(t3,axiom,
between(X,Y,Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3) ).
cnf(d15,axiom,
( ~ between(X,Y,Z)
| ~ equidistant(X,Y,X,U)
| ~ equidistant(Z,Y,Z,U)
| Y = U ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d15) ).
cnf(i2_3,axiom,
( ~ between(X,Y,Z)
| ~ equidistant(X,Z,U,V)
| equidistant(Y,Z,insertion(U,V,X,Y),V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i2_3) ).
cnf(73,plain,
( ~ between(X,Y,Z)
| ~ equidistant(X,Z,U,V)
| equidistant(Y,Z,extension(extension(V,U,lower_dimension_point_1,lower_dimension_point_2),U,X,Y),V) ),
inference('REWRITE',[status(thm)],[i2_3,insertion,theory(equality)]) ).
cnf(i3,axiom,
( ~ between(X,Y,Z)
| Y = insertion(X,Z,X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i3) ).
cnf(75,plain,
( ~ between(X,Y,Z)
| Y = extension(extension(Z,X,lower_dimension_point_1,lower_dimension_point_2),X,X,Y) ),
inference('REWRITE',[status(thm)],[i3,insertion,theory(equality)]) ).
cnf(v_between_u_and_w,hypothesis,
between(u,v,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_u_and_w) ).
cnf(u_to_v_equals_u_to_w,hypothesis,
equidistant(u,v,u,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_to_v_equals_u_to_w) ).
cnf(prove_v_equals_w,negated_conjecture,
v != w,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_v_equals_w) ).
cnf(261,plain,
v = extension(extension(w,u,lower_dimension_point_1,lower_dimension_point_2),u,u,v),
inference('HYPERRESOLVE',[status(thm)],[75,v_between_u_and_w]) ).
cnf(313,plain,
~ equidistant(v,v,v,w),
inference('UR-RESOLVE',[status(thm)],[d15,t3,prove_v_equals_w]) ).
cnf(680,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[73,t3,u_to_v_equals_u_to_w]),313,261,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO053-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n021.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 : Fri Jun 17 16:01:16 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T16:01:16
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-17T16:01:16
% 0.19/0.50
% 0.56/0.73 ; Recognized relation function assertion (|between| ?X ?Y (|reflection| ?X ?Y)).
% 0.56/0.73
% 0.56/0.73 #||
% 0.56/0.73 % SZS status Unsatisfiable for /export/starexec/sandbox2/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 ; 2287 formulas have been input or derived (from 68 formulas).
% 0.56/0.73 ; 680 (30%) were retained. Of these,
% 0.56/0.73 ; 30 ( 4%) were simplified or subsumed later,
% 0.56/0.73 ; 650 (96%) are still being kept.
% 0.56/0.73 ;
% 0.56/0.73 ; Run time in seconds excluding printing time:
% 0.56/0.73 ; 0.020 8% Read assertion file (1 call)
% 0.56/0.73 ; 0.003 1% Assert (85 calls)
% 0.56/0.73 ; 0.049 19% Process new row (1,977 calls)
% 0.56/0.73 ; 0.089 35% Resolution (134 calls)
% 0.56/0.73 ; 0.001 0% Paramodulation (67 calls)
% 0.56/0.73 ; 0.000 0% Factoring (1 call)
% 0.56/0.73 ; 0.008 3% Condensing (136 calls)
% 0.56/0.73 ; 0.002 1% Forward subsumption (136 calls)
% 0.56/0.73 ; 0.003 1% Backward subsumption (123 calls)
% 0.56/0.73 ; 0.006 2% Clause clause subsumption (525 calls)
% 0.56/0.73 ; 0.030 12% Forward simplification (1,977 calls)
% 0.56/0.73 ; 0.007 3% Backward simplification (674 calls)
% 0.56/0.73 ; 0.001 0% Ordering (279 calls)
% 0.56/0.73 ; 0.000 0% Sortal reasoning (32 calls)
% 0.56/0.73 ; 0.001 0% Purity testing (1 call)
% 0.56/0.73 ; 0.034 13% Other
% 0.56/0.73 ; 0.254 Total
% 0.56/0.73 ; 0.255 Real time
% 0.56/0.73 ;
% 0.56/0.73 ; Term-hash-array has 1,282 terms in all.
% 0.56/0.73 ; Feature-vector-row-index has 122 entries (122 at peak, 123 added, 1 deleted).
% 0.56/0.73 ; Feature-vector-row-index has 346 nodes (346 at peak, 349 added, 3 deleted).
% 0.56/0.73 ; Retrieved 343 possibly forward subsuming rows in 136 calls.
% 0.56/0.73 ; Retrieved 193 possibly backward subsumed rows in 123 calls.
% 0.56/0.73 ; Path-index has 1,240 entries (1,240 at peak, 1,289 added, 49 deleted).
% 0.56/0.73 ; Path-index has 1,763 nodes (1,763 at peak, 1,842 added, 79 deleted).
% 0.56/0.73 ; Trie-index has 1,240 entries (1,240 at peak, 1,289 added, 49 deleted).
% 0.56/0.73 ; Trie-index has 5,138 nodes (5,138 at peak, 5,380 added, 242 deleted).
% 0.56/0.73 ; Retrieved 6,566 generalization terms in 3,820 calls.
% 0.56/0.73 ; Retrieved 977 instance terms in 550 calls.
% 0.56/0.73 ; Retrieved 103,255 unifiable terms in 4,083 calls.
% 0.56/0.73 ;
% 0.56/0.73 ; The agenda of rows to process has 40 entries:
% 0.56/0.73 ; 17 with value 17 1 with value 23 8 with value 30
% 0.56/0.73 ; 4 with value 19 4 with value 24 1 with value 38
% 0.56/0.73 ; 4 with value 21 1 with value 29
% 0.56/0.73 ; The agenda of input rows to give has 12 entries:
% 0.56/0.73 ; 4 with value 28 1 with value 35 1 with value 44
% 0.56/0.73 ; 1 with value 30 1 with value 37 1 with value 49
% 0.56/0.73 ; 1 with value 34 2 with value 40
% 0.56/0.73 ; The agenda of rows to give has 570 entries:
% 0.56/0.73 ; 14 with value (4 6) 21 with value (4 16) 8 with value (4 29)
% 0.56/0.73 ; 23 with value (4 7) 77 with value (4 17) 11 with value (4 30)
% 0.56/0.73 ; 8 with value (4 8) 8 with value (4 18) 7 with value (4 32)
% 0.56/0.73 ; 21 with value (4 9) 45 with value (4 19) 2 with value (4 33)
% 0.56/0.73 ; 16 with value (4 10) 7 with value (4 20) 6 with value (4 34)
% 0.56/0.73 ; 24 with value (4 11) 52 with value (4 21) 2 with value (4 36)
% 0.56/0.73 ; 71 with value (4 12) 22 with value (4 23) 3 with value (4 38)
% 0.56/0.73 ; 2 with value (4 13) 24 with value (4 25) 1 with value (4 40)
% 0.56/0.73 ; 26 with value (4 14) 6 with value (4 27) 1 with value (4 42)
% 0.56/0.73 ; 53 with value (4 15) 9 with value (4 28)
% 0.56/0.73 Evaluation took:
% 0.56/0.73 0.255 seconds of real time
% 0.56/0.73 0.230531 seconds of user run time
% 0.56/0.73 0.024903 seconds of system run time
% 0.56/0.73 [Run times include 0.011 seconds GC run time.]
% 0.56/0.73 0 calls to %EVAL
% 0.56/0.73 0 page faults and
% 0.56/0.73 14,298,712 bytes consed.
% 0.56/0.73 :PROOF-FOUND
% 0.56/0.73 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T16:01:16
% 0.56/0.73 :PROOF-FOUND
% 0.56/0.73 *
%------------------------------------------------------------------------------