TSTP Solution File: GEO018-3 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO018-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n023.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 06:13:09 EDT 2022
% Result : Unsatisfiable 0.21s 0.52s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of clauses : 6 ( 5 unt; 0 nHn; 5 RR)
% Number of literals : 8 ( 0 equ; 3 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 8 ( 0 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(u_to_v_equals_w_to_x,hypothesis,
equidistant(u,v,w,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_to_v_equals_w_to_x) ).
cnf(prove_symmetry,negated_conjecture,
~ equidistant(v,u,x,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_symmetry) ).
cnf(31,plain,
equidistant(w,x,v,u),
inference('HYPERRESOLVE',[status(thm)],[transitivity_for_equidistance,u_to_v_equals_w_to_x,reflexivity_for_equidistance]) ).
cnf(32,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[transitivity_for_equidistance,reflexivity_for_equidistance,prove_symmetry]),31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO018-3 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n023.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Fri Jun 17 21:36:04 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.48 *
% 0.21/0.48 *
% 0.21/0.48 #<PACKAGE "SNARK-USER">
% 0.21/0.48 *
% 0.21/0.48 SNARK-TPTP-OPTIONS
% 0.21/0.48 *
% 0.21/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48 (USE-FACTORING :POS)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48 *
% 0.21/0.48 "."
% 0.21/0.48 *
% 0.21/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-17T21:36:04
% 0.21/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-06-17T21:36:04
% 0.21/0.52
% 0.21/0.52
% 0.21/0.52 #||
% 0.21/0.52 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.52 % SZS output start Refutation
% See solution above
% 0.21/0.52 ||#
% 0.21/0.52
% 0.21/0.52 ; Summary of computation:
% 0.21/0.52 ; 81 formulas have been input or derived (from 15 formulas).
% 0.21/0.52 ; 32 (40%) were retained. Of these,
% 0.21/0.52 ; 32 (100%) are still being kept.
% 0.21/0.52 ;
% 0.21/0.52 ; Run time in seconds:
% 0.21/0.52 ; 0.006 16% Read assertion file (1 call)
% 0.21/0.52 ; 0.001 3% Assert (23 calls)
% 0.21/0.52 ; 0.000 0% Process new row (55 calls)
% 0.21/0.52 ; 0.002 5% Resolution (28 calls)
% 0.21/0.52 ; 0.000 0% Paramodulation (14 calls)
% 0.21/0.52 ; 0.000 0% Condensing (14 calls)
% 0.21/0.52 ; 0.002 5% Forward subsumption (14 calls)
% 0.21/0.52 ; 0.000 0% Backward subsumption (14 calls)
% 0.21/0.52 ; 0.000 0% Clause clause subsumption (20 calls)
% 0.21/0.52 ; 0.002 5% Forward simplification (55 calls)
% 0.21/0.52 ; 0.000 0% Backward simplification (32 calls)
% 0.21/0.52 ; 0.000 0% Ordering (3 calls)
% 0.21/0.52 ; 0.000 0% Sortal reasoning (32 calls)
% 0.21/0.52 ; 0.001 3% Purity testing (1 call)
% 0.21/0.52 ; 0.024 63% Other
% 0.21/0.52 ; 0.038 Total
% 0.21/0.52 ; 0.039 Real time
% 0.21/0.52 ;
% 0.21/0.52 ; Term-hash-array has 59 terms in all.
% 0.21/0.52 ; Feature-vector-row-index has 14 entries (14 at peak, 14 added, 0 deleted).
% 0.21/0.52 ; Feature-vector-row-index has 26 nodes (26 at peak, 26 added, 0 deleted).
% 0.21/0.52 ; Retrieved 11 possibly forward subsuming rows in 14 calls.
% 0.21/0.52 ; Retrieved 9 possibly backward subsumed rows in 14 calls.
% 0.21/0.52 ; Path-index has 66 entries (66 at peak, 66 added, 0 deleted).
% 0.21/0.52 ; Path-index has 221 nodes (221 at peak, 221 added, 0 deleted).
% 0.21/0.52 ; Trie-index has 66 entries (66 at peak, 66 added, 0 deleted).
% 0.21/0.52 ; Trie-index has 158 nodes (158 at peak, 158 added, 0 deleted).
% 0.21/0.52 ; Retrieved 73 generalization terms in 83 calls.
% 0.21/0.52 ; Retrieved 34 instance terms in 17 calls.
% 0.21/0.52 ; Retrieved 777 unifiable terms in 103 calls.
% 0.21/0.52 ;
% 0.21/0.52 ; The agenda of rows to process has 23 entries:
% 0.21/0.52 ; 13 with value 7 10 with value 12
% 0.21/0.52 ; The agenda of input rows to give has 9 entries:
% 0.21/0.52 ; 2 with value 21 1 with value 34 1 with value 37
% 0.21/0.52 ; 2 with value 25 1 with value 35 1 with value 44
% 0.21/0.52 ; 1 with value 30
% 0.21/0.52 ; The agenda of rows to give has 8 entries:
% 0.21/0.52 ; 5 with value (4 7) 1 with value (4 10) 2 with value (4 12)
% 0.21/0.52 Evaluation took:
% 0.21/0.52 0.039 seconds of real time
% 0.21/0.52 0.02721 seconds of user run time
% 0.21/0.52 0.012094 seconds of system run time
% 0.21/0.52 0 calls to %EVAL
% 0.21/0.52 0 page faults and
% 0.21/0.52 1,981,760 bytes consed.
% 0.21/0.52 :PROOF-FOUND
% 0.21/0.52 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-17T21:36:04
% 0.21/0.52 :PROOF-FOUND
% 0.21/0.52 *
%------------------------------------------------------------------------------