TSTP Solution File: GEO019-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO019-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n027.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 06:13:10 EDT 2022
% Result : Unsatisfiable 0.22s 0.55s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 4
% Syntax : Number of clauses : 5 ( 4 unt; 0 nHn; 4 RR)
% Number of literals : 7 ( 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/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(prove_symmetry,negated_conjecture,
~ equidistant(w,x,v,u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_symmetry) ).
cnf(22,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[transitivity_for_equidistance,u_to_v_equals_w_to_x,reflexivity_for_equidistance,prove_symmetry]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : GEO019-2 : TPTP v8.1.0. Released v1.0.0.
% 0.13/0.15 % Command : run-snark %s %d
% 0.14/0.36 % Computer : n027.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Fri Jun 17 19:10:37 EDT 2022
% 0.14/0.37 % 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 *
% 0.22/0.51 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.51 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.51 (USE-FACTORING :POS)
% 0.22/0.51 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.51 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.51 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.51 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.51 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.51 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.51 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.51 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.51 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.51 (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.51 *
% 0.22/0.51 "."
% 0.22/0.51 *
% 0.22/0.51 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T19:10:37
% 0.22/0.52 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-06-17T19:10:37
% 0.22/0.55
% 0.22/0.55
% 0.22/0.55 #||
% 0.22/0.55 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.55 % SZS output start Refutation
% See solution above
% 0.22/0.55 ||#
% 0.22/0.55
% 0.22/0.55 ; Summary of computation:
% 0.22/0.55 ; 44 formulas have been input or derived (from 12 formulas).
% 0.22/0.55 ; 22 (50%) were retained. Of these,
% 0.22/0.55 ; 22 (100%) are still being kept.
% 0.22/0.55 ;
% 0.22/0.55 ; Run time in seconds:
% 0.22/0.55 ; 0.006 18% Read assertion file (1 call)
% 0.22/0.55 ; 0.001 3% Assert (20 calls)
% 0.22/0.55 ; 0.001 3% Process new row (23 calls)
% 0.22/0.55 ; 0.001 3% Resolution (22 calls)
% 0.22/0.55 ; 0.000 0% Paramodulation (11 calls)
% 0.22/0.55 ; 0.000 0% Condensing (12 calls)
% 0.22/0.55 ; 0.000 0% Forward subsumption (12 calls)
% 0.22/0.55 ; 0.000 0% Backward subsumption (12 calls)
% 0.22/0.55 ; 0.000 0% Clause clause subsumption (12 calls)
% 0.22/0.55 ; 0.003 9% Forward simplification (23 calls)
% 0.22/0.55 ; 0.001 3% Backward simplification (22 calls)
% 0.22/0.55 ; 0.000 0% Ordering (3 calls)
% 0.22/0.55 ; 0.000 0% Sortal reasoning (32 calls)
% 0.22/0.55 ; 0.000 0% Purity testing (1 call)
% 0.22/0.55 ; 0.021 62% Other
% 0.22/0.55 ; 0.034 Total
% 0.22/0.55 ; 0.035 Real time
% 0.22/0.55 ;
% 0.22/0.55 ; Term-hash-array has 48 terms in all.
% 0.22/0.55 ; Feature-vector-row-index has 12 entries (12 at peak, 12 added, 0 deleted).
% 0.22/0.55 ; Feature-vector-row-index has 25 nodes (25 at peak, 25 added, 0 deleted).
% 0.22/0.55 ; Retrieved 10 possibly forward subsuming rows in 12 calls.
% 0.22/0.55 ; Retrieved 2 possibly backward subsumed rows in 12 calls.
% 0.22/0.55 ; Path-index has 55 entries (55 at peak, 55 added, 0 deleted).
% 0.22/0.55 ; Path-index has 195 nodes (195 at peak, 195 added, 0 deleted).
% 0.22/0.55 ; Trie-index has 55 entries (55 at peak, 55 added, 0 deleted).
% 0.22/0.55 ; Trie-index has 131 nodes (131 at peak, 131 added, 0 deleted).
% 0.22/0.55 ; Retrieved 20 generalization terms in 49 calls.
% 0.22/0.55 ; Retrieved 11 instance terms in 9 calls.
% 0.22/0.55 ; Retrieved 384 unifiable terms in 74 calls.
% 0.22/0.55 ;
% 0.22/0.55 ; The agenda of rows to process has 19 entries:
% 0.22/0.55 ; 13 with value 7 6 with value 12
% 0.22/0.55 ; The agenda of input rows to give has 9 entries:
% 0.22/0.55 ; 2 with value 21 1 with value 34 1 with value 37
% 0.22/0.55 ; 2 with value 25 1 with value 35 1 with value 44
% 0.22/0.55 ; 1 with value 30
% 0.22/0.55 ; The agenda of rows to give has 1 entry:
% 0.22/0.55 ; 1 with value (4 10)
% 0.22/0.55 Evaluation took:
% 0.22/0.55 0.035 seconds of real time
% 0.22/0.55 0.029247 seconds of user run time
% 0.22/0.55 0.006313 seconds of system run time
% 0.22/0.55 0 calls to %EVAL
% 0.22/0.55 0 page faults and
% 0.22/0.55 1,805,616 bytes consed.
% 0.22/0.55 :PROOF-FOUND
% 0.22/0.55 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T19:10:37
% 0.22/0.55 :PROOF-FOUND
% 0.22/0.55 *
%------------------------------------------------------------------------------