TSTP Solution File: GEO018-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO018-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n014.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 0.18s 0.49s
% Output : Refutation 0.18s
% 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(23,plain,
equidistant(w,x,v,u),
inference('HYPERRESOLVE',[status(thm)],[transitivity_for_equidistance,u_to_v_equals_w_to_x,reflexivity_for_equidistance]) ).
cnf(26,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[transitivity_for_equidistance,reflexivity_for_equidistance,prove_symmetry]),23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GEO018-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n014.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 14:20:34 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T14:20:34
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2022-06-18T14:20:34
% 0.18/0.49
% 0.18/0.49
% 0.18/0.49 #||
% 0.18/0.49 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.49 % SZS output start Refutation
% See solution above
% 0.18/0.49 ||#
% 0.18/0.49
% 0.18/0.49 ; Summary of computation:
% 0.18/0.49 ; 42 formulas have been input or derived (from 12 formulas).
% 0.18/0.49 ; 26 (62%) were retained. Of these,
% 0.18/0.49 ; 1 ( 4%) were simplified or subsumed later,
% 0.18/0.49 ; 25 (96%) are still being kept.
% 0.18/0.49 ;
% 0.18/0.49 ; Run time in seconds:
% 0.18/0.49 ; 0.006 18% Read assertion file (1 call)
% 0.18/0.49 ; 0.001 3% Assert (20 calls)
% 0.18/0.49 ; 0.003 9% Process new row (28 calls)
% 0.18/0.49 ; 0.000 0% Resolution (22 calls)
% 0.18/0.49 ; 0.000 0% Paramodulation (11 calls)
% 0.18/0.49 ; 0.001 3% Condensing (12 calls)
% 0.18/0.49 ; 0.000 0% Forward subsumption (12 calls)
% 0.18/0.49 ; 0.000 0% Backward subsumption (12 calls)
% 0.18/0.49 ; 0.000 0% Clause clause subsumption (12 calls)
% 0.18/0.49 ; 0.001 3% Forward simplification (28 calls)
% 0.18/0.49 ; 0.000 0% Backward simplification (26 calls)
% 0.18/0.49 ; 0.000 0% Ordering (3 calls)
% 0.18/0.49 ; 0.000 0% Sortal reasoning (32 calls)
% 0.18/0.49 ; 0.000 0% Purity testing (1 call)
% 0.18/0.49 ; 0.022 65% Other
% 0.18/0.49 ; 0.034 Total
% 0.18/0.49 ; 0.035 Real time
% 0.18/0.49 ;
% 0.18/0.49 ; Term-hash-array has 52 terms in all.
% 0.18/0.49 ; Feature-vector-row-index has 12 entries (12 at peak, 12 added, 0 deleted).
% 0.18/0.49 ; Feature-vector-row-index has 25 nodes (25 at peak, 25 added, 0 deleted).
% 0.18/0.49 ; Retrieved 10 possibly forward subsuming rows in 12 calls.
% 0.18/0.49 ; Retrieved 2 possibly backward subsumed rows in 12 calls.
% 0.18/0.49 ; Path-index has 58 entries (59 at peak, 59 added, 1 deleted).
% 0.18/0.49 ; Path-index has 199 nodes (199 at peak, 199 added, 0 deleted).
% 0.18/0.49 ; Trie-index has 58 entries (59 at peak, 59 added, 1 deleted).
% 0.18/0.49 ; Trie-index has 137 nodes (139 at peak, 139 added, 2 deleted).
% 0.18/0.49 ; Retrieved 26 generalization terms in 55 calls.
% 0.18/0.49 ; Retrieved 35 instance terms in 13 calls.
% 0.18/0.49 ; Retrieved 382 unifiable terms in 74 calls.
% 0.18/0.49 ;
% 0.18/0.49 ; The agenda of rows to process has 12 entries:
% 0.18/0.49 ; 6 with value 7 6 with value 12
% 0.18/0.49 ; The agenda of input rows to give has 9 entries:
% 0.18/0.49 ; 2 with value 21 1 with value 34 1 with value 37
% 0.18/0.49 ; 2 with value 25 1 with value 35 1 with value 44
% 0.18/0.49 ; 1 with value 30
% 0.18/0.49 ; The agenda of rows to give has 4 entries:
% 0.18/0.49 ; 3 with value (4 7) 1 with value (4 10)
% 0.18/0.49 Evaluation took:
% 0.18/0.49 0.035 seconds of real time
% 0.18/0.49 0.032175 seconds of user run time
% 0.18/0.49 0.003289 seconds of system run time
% 0.18/0.49 0 calls to %EVAL
% 0.18/0.49 0 page faults and
% 0.18/0.49 1,899,896 bytes consed.
% 0.18/0.49 :PROOF-FOUND
% 0.18/0.49 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T14:20:34
% 0.18/0.49 :PROOF-FOUND
% 0.18/0.49 *
%------------------------------------------------------------------------------