TSTP Solution File: GEO022-2 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO022-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n013.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 06:13:12 EDT 2022
% Result : Unsatisfiable 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 8 ( 7 unt; 0 nHn; 7 RR)
% Number of literals : 10 ( 0 equ; 4 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 : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 8 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(reflexivity_for_equidistance,axiom,
equidistant(X,Y,Y,X),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',u_to_v_equals_w_to_x) ).
cnf(w_to_x_equals_y_to_z,hypothesis,
equidistant(w,x,y,z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',w_to_x_equals_y_to_z) ).
cnf(prove_transitivity,negated_conjecture,
~ equidistant(u,v,y,z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_transitivity) ).
cnf(26,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,
~ equidistant(v,u,y,z),
inference('UR-RESOLVE',[status(thm)],[transitivity_for_equidistance,reflexivity_for_equidistance,prove_transitivity]) ).
cnf(46,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[transitivity_for_equidistance,26,w_to_x_equals_y_to_z]),32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO022-2 : TPTP v8.1.0. Released v1.0.0.
% 0.13/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Fri Jun 17 19:17:14 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.48 #<PACKAGE "SNARK-USER">
% 0.19/0.48 *
% 0.19/0.48 SNARK-TPTP-OPTIONS
% 0.19/0.48 *
% 0.19/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48 (USE-FACTORING :POS)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48 *
% 0.19/0.48 "."
% 0.19/0.48 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T19:17:14
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-06-17T19:17:14
% 0.19/0.53
% 0.19/0.53
% 0.19/0.53 #||
% 0.19/0.53 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.53 % SZS output start Refutation
% See solution above
% 0.19/0.53 ||#
% 0.19/0.53
% 0.19/0.53 ; Summary of computation:
% 0.19/0.53 ; 85 formulas have been input or derived (from 24 formulas).
% 0.19/0.53 ; 46 (54%) were retained. Of these,
% 0.19/0.53 ; 2 ( 4%) were simplified or subsumed later,
% 0.19/0.53 ; 44 (96%) are still being kept.
% 0.19/0.53 ;
% 0.19/0.53 ; Run time in seconds:
% 0.19/0.53 ; 0.006 12% Read assertion file (1 call)
% 0.19/0.53 ; 0.001 2% Assert (21 calls)
% 0.19/0.53 ; 0.005 10% Process new row (68 calls)
% 0.19/0.53 ; 0.012 24% Resolution (46 calls)
% 0.19/0.53 ; 0.000 0% Paramodulation (23 calls)
% 0.19/0.53 ; 0.001 2% Condensing (16 calls)
% 0.19/0.53 ; 0.000 0% Forward subsumption (16 calls)
% 0.19/0.53 ; 0.000 0% Backward subsumption (16 calls)
% 0.19/0.53 ; 0.000 0% Clause clause subsumption (16 calls)
% 0.19/0.53 ; 0.001 2% Forward simplification (68 calls)
% 0.19/0.53 ; 0.001 2% Backward simplification (46 calls)
% 0.19/0.53 ; 0.000 0% Ordering (15 calls)
% 0.19/0.53 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.53 ; 0.000 0% Purity testing (1 call)
% 0.19/0.53 ; 0.023 46% Other
% 0.19/0.53 ; 0.050 Total
% 0.19/0.53 ; 0.050 Real time
% 0.19/0.53 ;
% 0.19/0.53 ; Term-hash-array has 84 terms in all.
% 0.19/0.53 ; Feature-vector-row-index has 16 entries (16 at peak, 16 added, 0 deleted).
% 0.19/0.53 ; Feature-vector-row-index has 38 nodes (38 at peak, 38 added, 0 deleted).
% 0.19/0.53 ; Retrieved 12 possibly forward subsuming rows in 16 calls.
% 0.19/0.53 ; Retrieved 4 possibly backward subsumed rows in 16 calls.
% 0.19/0.53 ; Path-index has 91 entries (91 at peak, 93 added, 2 deleted).
% 0.19/0.53 ; Path-index has 383 nodes (383 at peak, 383 added, 0 deleted).
% 0.19/0.53 ; Trie-index has 91 entries (91 at peak, 93 added, 2 deleted).
% 0.19/0.53 ; Trie-index has 305 nodes (305 at peak, 309 added, 4 deleted).
% 0.19/0.53 ; Retrieved 101 generalization terms in 118 calls.
% 0.19/0.53 ; Retrieved 55 instance terms in 29 calls.
% 0.19/0.53 ; Retrieved 7,013 unifiable terms in 1,002 calls.
% 0.19/0.53 ;
% 0.19/0.53 ; The agenda of rows to process has 11 entries:
% 0.19/0.53 ; 11 with value 8
% 0.19/0.53 ; The agenda of rows to give has 20 entries:
% 0.19/0.53 ; 6 with value (4 7) 1 with value (4 15) 1 with value (4 25)
% 0.19/0.53 ; 2 with value (4 8) 1 with value (4 17) 1 with value (4 29)
% 0.19/0.53 ; 1 with value (4 10) 1 with value (4 18) 1 with value (4 42)
% 0.19/0.53 ; 4 with value (4 12) 1 with value (4 19)
% 0.19/0.53 Evaluation took:
% 0.19/0.53 0.051 seconds of real time
% 0.19/0.53 0.045098 seconds of user run time
% 0.19/0.53 0.005871 seconds of system run time
% 0.19/0.53 0 calls to %EVAL
% 0.19/0.53 0 page faults and
% 0.19/0.53 2,604,344 bytes consed.
% 0.19/0.53 :PROOF-FOUND
% 0.19/0.53 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T19:17:14
% 0.19/0.53 :PROOF-FOUND
% 0.19/0.53 *
%------------------------------------------------------------------------------