TSTP Solution File: GEO024-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO024-2 : TPTP v8.1.0. Released v1.0.0.
% 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 06:13:12 EDT 2022
% Result : Unsatisfiable 0.20s 0.53s
% Output : Refutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of clauses : 8 ( 6 unt; 0 nHn; 5 RR)
% Number of literals : 11 ( 2 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-4 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-4 aty)
% Number of variables : 19 ( 2 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(identity_for_equidistance,axiom,
( ~ equidistant(X,Y,Z,Z)
| X = Y ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',identity_for_equidistance) ).
cnf(segment_construction2,axiom,
equidistant(X,extension(Y,X,Z,U),Z,U),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',segment_construction2) ).
cnf(prove_congruence,negated_conjecture,
~ equidistant(u,u,v,v),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_congruence) ).
cnf(20,plain,
X = extension(Y,X,Z,Z),
inference('HYPERRESOLVE',[status(thm)],[identity_for_equidistance,segment_construction2]) ).
cnf(25,plain,
~ equidistant(X,X,u,u),
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[transitivity_for_equidistance,segment_construction2,prove_congruence]),20,theory(equality)]) ).
cnf(40,plain,
$false,
inference('HYPERRESOLVE',[status(thm)],[25,reflexivity_for_equidistance]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO024-2 : TPTP v8.1.0. Released v1.0.0.
% 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 17:10:16 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T17:10:16
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-17T17:10:16
% 0.20/0.53
% 0.20/0.53
% 0.20/0.53 #||
% 0.20/0.53 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.53 % SZS output start Refutation
% See solution above
% 0.37/0.53 ||#
% 0.37/0.53
% 0.37/0.53 ; Summary of computation:
% 0.37/0.53 ; 171 formulas have been input or derived (from 22 formulas).
% 0.37/0.53 ; 40 (23%) were retained. Of these,
% 0.37/0.53 ; 4 (10%) were simplified or subsumed later,
% 0.37/0.53 ; 36 (90%) are still being kept.
% 0.37/0.53 ;
% 0.37/0.54 ; Run time in seconds excluding printing time:
% 0.37/0.54 ; 0.005 8% Read assertion file (1 call)
% 0.37/0.54 ; 0.000 0% Assert (19 calls)
% 0.37/0.54 ; 0.000 0% Process new row (125 calls)
% 0.37/0.54 ; 0.022 35% Resolution (42 calls)
% 0.37/0.54 ; 0.001 2% Paramodulation (21 calls)
% 0.37/0.54 ; 0.000 0% Condensing (23 calls)
% 0.37/0.54 ; 0.002 3% Forward subsumption (23 calls)
% 0.37/0.54 ; 0.000 0% Backward subsumption (19 calls)
% 0.37/0.54 ; 0.000 0% Clause clause subsumption (26 calls)
% 0.37/0.54 ; 0.003 5% Forward simplification (125 calls)
% 0.37/0.54 ; 0.002 3% Backward simplification (40 calls)
% 0.37/0.54 ; 0.000 0% Ordering (15 calls)
% 0.37/0.54 ; 0.001 2% Sortal reasoning (32 calls)
% 0.37/0.54 ; 0.001 2% Purity testing (1 call)
% 0.37/0.54 ; 0.025 40% Other
% 0.37/0.54 ; 0.062 Total
% 0.37/0.54 ; 0.064 Real time
% 0.37/0.54 ;
% 0.37/0.54 ; Term-hash-array has 80 terms in all.
% 0.37/0.54 ; Feature-vector-row-index has 17 entries (18 at peak, 19 added, 2 deleted).
% 0.37/0.54 ; Feature-vector-row-index has 41 nodes (41 at peak, 44 added, 3 deleted).
% 0.37/0.54 ; Retrieved 19 possibly forward subsuming rows in 23 calls.
% 0.37/0.54 ; Retrieved 7 possibly backward subsumed rows in 19 calls.
% 0.37/0.54 ; Path-index has 81 entries (81 at peak, 86 added, 5 deleted).
% 0.37/0.54 ; Path-index has 405 nodes (405 at peak, 417 added, 12 deleted).
% 0.37/0.54 ; Trie-index has 81 entries (81 at peak, 86 added, 5 deleted).
% 0.37/0.54 ; Trie-index has 299 nodes (299 at peak, 324 added, 25 deleted).
% 0.37/0.54 ; Retrieved 269 generalization terms in 237 calls.
% 0.37/0.54 ; Retrieved 40 instance terms in 20 calls.
% 0.37/0.54 ; Retrieved 15,743 unifiable terms in 1,945 calls.
% 0.37/0.54 ;
% 0.37/0.54 ; The agenda of rows to process has 6 entries:
% 0.37/0.54 ; 4 with value 8 2 with value 13
% 0.37/0.54 ; The agenda of rows to give has 15 entries:
% 0.37/0.54 ; 1 with value (4 7) 1 with value (4 17) 1 with value (4 26)
% 0.37/0.54 ; 1 with value (4 10) 1 with value (4 18) 1 with value (4 27)
% 0.37/0.54 ; 2 with value (4 12) 1 with value (4 19) 1 with value (4 29)
% 0.37/0.54 ; 1 with value (4 13) 1 with value (4 24) 1 with value (4 42)
% 0.37/0.54 ; 1 with value (4 15) 1 with value (4 25)
% 0.37/0.54 Evaluation took:
% 0.37/0.54 0.064 seconds of real time
% 0.37/0.54 0.057143 seconds of user run time
% 0.37/0.54 0.007059 seconds of system run time
% 0.37/0.54 0 calls to %EVAL
% 0.37/0.54 0 page faults and
% 0.37/0.54 3,217,536 bytes consed.
% 0.37/0.54 :PROOF-FOUND
% 0.37/0.54 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T17:10:16
% 0.37/0.54 :PROOF-FOUND
% 0.37/0.54 *
%------------------------------------------------------------------------------