TSTP Solution File: GEO059-3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO059-3 : 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 06:13:32 EDT 2022
% Result : Unsatisfiable 0.56s 0.75s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 8 ( 5 unt; 0 nHn; 5 RR)
% Number of literals : 12 ( 0 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-4 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 20 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
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(d2,axiom,
( ~ equidistant(X,Y,Z,U)
| equidistant(Z,U,X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2) ).
cnf(d4_2,axiom,
( ~ equidistant(X,Y,Z,U)
| equidistant(Y,X,U,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_2) ).
cnf(r2_2,axiom,
equidistant(X,reflection(Y,X),Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',r2_2) ).
cnf(prove_congruence,negated_conjecture,
~ equidistant(v,u,v,reflection(reflection(u,v),v)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_congruence) ).
cnf(46,plain,
equidistant(X,Y,Y,reflection(X,Y)),
inference('HYPERRESOLVE',[status(thm)],[d2,r2_2]) ).
cnf(52,plain,
equidistant(reflection(X,Y),Y,Y,X),
inference('HYPERRESOLVE',[status(thm)],[d4_2,r2_2]) ).
cnf(168,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[transitivity_for_equidistance,46,prove_congruence]),52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : GEO059-3 : TPTP v8.1.0. Released v1.0.0.
% 0.13/0.15 % Command : run-snark %s %d
% 0.15/0.36 % Computer : n013.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Sat Jun 18 14:11:44 EDT 2022
% 0.15/0.37 % CPUTime :
% 0.22/0.50 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.51 *
% 0.22/0.51 *
% 0.22/0.51 #<PACKAGE "SNARK-USER">
% 0.22/0.51 *
% 0.22/0.51 SNARK-TPTP-OPTIONS
% 0.22/0.51 *
% 0.22/0.52 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.52 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.52 (USE-FACTORING :POS)
% 0.22/0.52 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.52 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.52 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.52 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.52 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.52 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.52 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.52 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.52 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.52 (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.52 *
% 0.22/0.52 "."
% 0.22/0.52 *
% 0.22/0.52 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T14:11:44
% 0.22/0.52 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-06-18T14:11:44
% 0.22/0.54
% 0.56/0.75 ; Recognized relation function assertion (|between| ?X ?Y (|reflection| ?X ?Y)).
% 0.56/0.75
% 0.56/0.75 #||
% 0.56/0.75 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.56/0.75 % SZS output start Refutation
% See solution above
% 0.56/0.75 ||#
% 0.56/0.75
% 0.56/0.75 ; Summary of computation:
% 0.56/0.75 ; 1430 formulas have been input or derived (from 45 formulas).
% 0.56/0.75 ; 168 (12%) were retained. Of these,
% 0.56/0.75 ; 9 ( 5%) were simplified or subsumed later,
% 0.56/0.75 ; 159 (95%) are still being kept.
% 0.56/0.75 ;
% 0.56/0.75 ; Run time in seconds excluding printing time:
% 0.56/0.75 ; 0.010 4% Read assertion file (1 call)
% 0.56/0.75 ; 0.002 1% Assert (42 calls)
% 0.56/0.75 ; 0.015 6% Process new row (845 calls)
% 0.56/0.75 ; 0.156 67% Resolution (88 calls)
% 0.56/0.75 ; 0.001 0% Paramodulation (44 calls)
% 0.56/0.75 ; 0.000 0% Factoring (1 call)
% 0.56/0.75 ; 0.002 1% Condensing (78 calls)
% 0.56/0.75 ; 0.004 2% Forward subsumption (78 calls)
% 0.56/0.75 ; 0.001 0% Backward subsumption (70 calls)
% 0.56/0.75 ; 0.001 0% Clause clause subsumption (282 calls)
% 0.56/0.75 ; 0.011 5% Forward simplification (845 calls)
% 0.56/0.75 ; 0.002 1% Backward simplification (167 calls)
% 0.56/0.75 ; 0.001 0% Ordering (114 calls)
% 0.56/0.75 ; 0.000 0% Sortal reasoning (32 calls)
% 0.56/0.75 ; 0.000 0% Purity testing (1 call)
% 0.56/0.75 ; 0.027 12% Other
% 0.56/0.75 ; 0.233 Total
% 0.56/0.75 ; 0.234 Real time
% 0.56/0.75 ;
% 0.56/0.75 ; Term-hash-array has 304 terms in all.
% 0.56/0.75 ; Feature-vector-row-index has 67 entries (67 at peak, 70 added, 3 deleted).
% 0.56/0.75 ; Feature-vector-row-index has 130 nodes (130 at peak, 133 added, 3 deleted).
% 0.56/0.75 ; Retrieved 145 possibly forward subsuming rows in 78 calls.
% 0.56/0.75 ; Retrieved 144 possibly backward subsumed rows in 70 calls.
% 0.56/0.75 ; Path-index has 299 entries (299 at peak, 311 added, 12 deleted).
% 0.56/0.75 ; Path-index has 1,116 nodes (1,116 at peak, 1,120 added, 4 deleted).
% 0.56/0.75 ; Trie-index has 299 entries (299 at peak, 311 added, 12 deleted).
% 0.56/0.75 ; Trie-index has 1,408 nodes (1,408 at peak, 1,413 added, 5 deleted).
% 0.56/0.75 ; Retrieved 3,134 generalization terms in 1,797 calls.
% 0.56/0.75 ; Retrieved 224 instance terms in 96 calls.
% 0.56/0.75 ; Retrieved 260,451 unifiable terms in 11,891 calls.
% 0.56/0.75 ;
% 0.56/0.75 ; The agenda of rows to process has 154 entries:
% 0.56/0.75 ; 10 with value 11 11 with value 20 4 with value 28
% 0.56/0.75 ; 5 with value 13 1 with value 21 3 with value 29
% 0.56/0.75 ; 1 with value 14 9 with value 22 1 with value 30
% 0.56/0.75 ; 19 with value 15 7 with value 23 3 with value 31
% 0.56/0.75 ; 12 with value 16 5 with value 24 1 with value 33
% 0.56/0.75 ; 21 with value 17 6 with value 25 1 with value 34
% 0.56/0.75 ; 4 with value 18 6 with value 26 3 with value 35
% 0.56/0.75 ; 17 with value 19 4 with value 27
% 0.56/0.75 ; The agenda of rows to give has 114 entries:
% 0.56/0.75 ; 10 with value (4 10) 7 with value (4 22) 3 with value (4 32)
% 0.56/0.75 ; 7 with value (4 12) 9 with value (4 23) 3 with value (4 35)
% 0.56/0.75 ; 10 with value (4 13) 1 with value (4 24) 3 with value (4 36)
% 0.56/0.75 ; 1 with value (4 14) 5 with value (4 25) 1 with value (4 38)
% 0.56/0.75 ; 6 with value (4 15) 4 with value (4 26) 1 with value (4 42)
% 0.56/0.75 ; 7 with value (4 17) 3 with value (4 27) 1 with value (4 44)
% 0.56/0.75 ; 6 with value (4 18) 1 with value (4 28) 1 with value (4 45)
% 0.56/0.75 ; 3 with value (4 19) 2 with value (4 29) 1 with value (4 52)
% 0.56/0.75 ; 7 with value (4 20) 2 with value (4 31) 1 with value (4 53)
% 0.56/0.75 ; 8 with value (4 21)
% 0.56/0.75 Evaluation took:
% 0.56/0.75 0.235 seconds of real time
% 0.56/0.75 0.219115 seconds of user run time
% 0.56/0.75 0.01596 seconds of system run time
% 0.56/0.75 [Run times include 0.007 seconds GC run time.]
% 0.56/0.75 0 calls to %EVAL
% 0.56/0.75 0 page faults and
% 0.56/0.75 15,376,488 bytes consed.
% 0.56/0.75 :PROOF-FOUND
% 0.56/0.75 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T14:11:44
% 0.56/0.75 :PROOF-FOUND
% 0.56/0.75 *
%------------------------------------------------------------------------------