TSTP Solution File: GEO056-3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO056-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n028.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 06:13:30 EDT 2022
% Result : Unsatisfiable 0.19s 0.50s
% Output : Refutation 0.19s
% 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 : 7 ( 4 equ; 3 neg)
% Maximal clause size : 2 ( 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; 0-2 aty)
% Number of variables : 5 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(identity_for_equidistance,axiom,
( ~ equidistant(X,Y,Z,Z)
| X = Y ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',identity_for_equidistance) ).
cnf(r2_2,axiom,
equidistant(X,reflection(Y,X),Y,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',r2_2) ).
cnf(u_equals_v,hypothesis,
u = v,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_equals_v) ).
cnf(prove_v_equals_reflection,negated_conjecture,
v != reflection(u,v),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_v_equals_reflection) ).
cnf(35,plain,
u != reflection(u,u),
inference('REWRITE',[status(thm)],[prove_v_equals_reflection,u_equals_v,theory(equality)]) ).
cnf(38,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[identity_for_equidistance,r2_2,35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO056-3 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n028.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 10:24:14 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T10:24:14
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-06-18T10:24:14
% 0.19/0.48
% 0.19/0.50 ; Recognized relation function assertion (|between| ?X ?Y (|reflection| ?X ?Y)).
% 0.19/0.50
% 0.19/0.50 #||
% 0.19/0.50 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.50 % SZS output start Refutation
% See solution above
% 0.19/0.50 ||#
% 0.19/0.50
% 0.19/0.50 ; Summary of computation:
% 0.19/0.50 ; 48 formulas have been input or derived (from 13 formulas).
% 0.19/0.50 ; 38 (79%) were retained. Of these,
% 0.19/0.50 ; 1 ( 3%) were simplified or subsumed later,
% 0.19/0.50 ; 37 (97%) are still being kept.
% 0.19/0.50 ;
% 0.19/0.50 ; Run time in seconds excluding printing time:
% 0.19/0.50 ; 0.008 21% Read assertion file (1 call)
% 0.19/0.50 ; 0.002 5% Assert (34 calls)
% 0.19/0.50 ; 0.002 5% Process new row (39 calls)
% 0.19/0.50 ; 0.001 3% Resolution (24 calls)
% 0.19/0.50 ; 0.000 0% Paramodulation (12 calls)
% 0.19/0.50 ; 0.001 3% Condensing (21 calls)
% 0.19/0.50 ; 0.001 3% Forward subsumption (21 calls)
% 0.19/0.50 ; 0.000 0% Backward subsumption (21 calls)
% 0.19/0.50 ; 0.000 0% Clause clause subsumption (86 calls)
% 0.19/0.50 ; 0.002 5% Forward simplification (39 calls)
% 0.19/0.50 ; 0.000 0% Backward simplification (37 calls)
% 0.19/0.50 ; 0.000 0% Ordering (13 calls)
% 0.19/0.50 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.50 ; 0.000 0% Purity testing (1 call)
% 0.19/0.50 ; 0.021 55% Other
% 0.19/0.50 ; 0.038 Total
% 0.19/0.50 ; 0.041 Real time
% 0.19/0.50 ;
% 0.19/0.50 ; Term-hash-array has 68 terms in all.
% 0.19/0.50 ; Feature-vector-row-index has 21 entries (21 at peak, 21 added, 0 deleted).
% 0.19/0.50 ; Feature-vector-row-index has 29 nodes (29 at peak, 29 added, 0 deleted).
% 0.19/0.50 ; Retrieved 39 possibly forward subsuming rows in 21 calls.
% 0.19/0.50 ; Retrieved 47 possibly backward subsumed rows in 21 calls.
% 0.19/0.50 ; Path-index has 73 entries (73 at peak, 73 added, 0 deleted).
% 0.19/0.50 ; Path-index has 226 nodes (226 at peak, 226 added, 0 deleted).
% 0.19/0.50 ; Trie-index has 73 entries (73 at peak, 73 added, 0 deleted).
% 0.19/0.50 ; Trie-index has 159 nodes (159 at peak, 159 added, 0 deleted).
% 0.19/0.50 ; Retrieved 59 generalization terms in 72 calls.
% 0.19/0.50 ; Retrieved 35 instance terms in 15 calls.
% 0.19/0.50 ; Retrieved 244 unifiable terms in 54 calls.
% 0.19/0.50 ;
% 0.19/0.50 ; The agenda of rows to process has 7 entries:
% 0.19/0.50 ; 4 with value 5 1 with value 8 2 with value 10
% 0.19/0.50 ; The agenda of input rows to give has 22 entries:
% 0.19/0.50 ; 1 with value 10 2 with value 18 1 with value 34
% 0.19/0.50 ; 2 with value 11 2 with value 21 1 with value 35
% 0.19/0.50 ; 7 with value 12 2 with value 25 1 with value 37
% 0.19/0.50 ; 1 with value 14 1 with value 30 1 with value 44
% 0.19/0.50 ; The agenda of rows to give has 2 entries:
% 0.19/0.50 ; 1 with value (4 9) 1 with value (4 11)
% 0.19/0.50 Evaluation took:
% 0.19/0.50 0.041 seconds of real time
% 0.19/0.50 0.03631 seconds of user run time
% 0.19/0.50 0.003838 seconds of system run time
% 0.19/0.50 0 calls to %EVAL
% 0.19/0.50 0 page faults and
% 0.19/0.50 2,039,072 bytes consed.
% 0.19/0.50 :PROOF-FOUND
% 0.19/0.50 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T10:24:14
% 0.19/0.50 :PROOF-FOUND
% 0.19/0.50 *
%------------------------------------------------------------------------------