TSTP Solution File: GRP620+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP620+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n019.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 11:39:42 EDT 2022
% Result : Theorem 3.55s 3.72s
% Output : Refutation 3.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 26
% Syntax : Number of clauses : 45 ( 26 unt; 15 nHn; 45 RR)
% Number of literals : 157 ( 5 equ; 103 neg)
% Maximal clause size : 19 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 46 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
~ v3_struct_0('SKOLEMAAAM1'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_autgroup) ).
cnf(2,negated_conjecture,
v1_group_1('SKOLEMAAAM1'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_autgroup) ).
cnf(3,negated_conjecture,
v3_group_1('SKOLEMAAAM1'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_autgroup) ).
cnf(4,negated_conjecture,
v4_group_1('SKOLEMAAAM1'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_autgroup) ).
cnf(5,negated_conjecture,
l1_group_1('SKOLEMAAAM1'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_autgroup) ).
cnf(6,negated_conjecture,
m2_fraenkel('SKOLEMAAAM2',u1_struct_0('SKOLEMAAAM1'),u1_struct_0('SKOLEMAAAM1'),k1_autgroup('SKOLEMAAAM1')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_autgroup) ).
cnf(7,negated_conjecture,
~ m2_fraenkel(k2_funct_1('SKOLEMAAAM2'),u1_struct_0('SKOLEMAAAM1'),u1_struct_0('SKOLEMAAAM1'),k1_autgroup('SKOLEMAAAM1')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_autgroup) ).
cnf(23,axiom,
( v3_struct_0(X)
| ~ v1_group_1(X)
| ~ v3_group_1(X)
| ~ v4_group_1(X)
| ~ l1_group_1(X)
| ~ m1_fraenkel(Y,u1_struct_0(X),u1_struct_0(X))
| Y != k1_autgroup(X)
| ~ m2_fraenkel(Z,u1_struct_0(X),u1_struct_0(X),Y)
| v1_funct_1(Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_autgroup) ).
cnf(24,axiom,
( v3_struct_0(X)
| ~ v1_group_1(X)
| ~ v3_group_1(X)
| ~ v4_group_1(X)
| ~ l1_group_1(X)
| ~ m1_fraenkel(Y,u1_struct_0(X),u1_struct_0(X))
| Y != k1_autgroup(X)
| ~ m2_fraenkel(Z,u1_struct_0(X),u1_struct_0(X),Y)
| v1_funct_2(Z,u1_struct_0(X),u1_struct_0(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_autgroup) ).
cnf(25,axiom,
( v3_struct_0(X)
| ~ v1_group_1(X)
| ~ v3_group_1(X)
| ~ v4_group_1(X)
| ~ l1_group_1(X)
| ~ m1_fraenkel(Y,u1_struct_0(X),u1_struct_0(X))
| Y != k1_autgroup(X)
| ~ m2_fraenkel(Z,u1_struct_0(X),u1_struct_0(X),Y)
| v1_group_6(Z,X,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_autgroup) ).
cnf(26,axiom,
( v3_struct_0(X)
| ~ v1_group_1(X)
| ~ v3_group_1(X)
| ~ v4_group_1(X)
| ~ l1_group_1(X)
| ~ m1_fraenkel(Y,u1_struct_0(X),u1_struct_0(X))
| Y != k1_autgroup(X)
| ~ m2_fraenkel(Z,u1_struct_0(X),u1_struct_0(X),Y)
| m2_relset_1(Z,u1_struct_0(X),u1_struct_0(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_autgroup) ).
cnf(46,axiom,
( v3_struct_0(X)
| ~ v1_group_1(X)
| ~ v3_group_1(X)
| ~ v4_group_1(X)
| ~ l1_group_1(X)
| m1_fraenkel(k1_autgroup(X),u1_struct_0(X),u1_struct_0(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_autgroup) ).
cnf(49,axiom,
( ~ l1_group_1(X)
| l1_struct_0(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_group_1) ).
cnf(50,axiom,
( ~ m1_fraenkel(X,Y,Z)
| ~ v1_xboole_0(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_fraenkel) ).
cnf(67,axiom,
( v3_struct_0(X)
| ~ l1_struct_0(X)
| ~ v1_xboole_0(u1_struct_0(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
cnf(115,axiom,
( v1_xboole_0(X)
| ~ m1_fraenkel(Y,Z,X)
| ~ m2_fraenkel(U,Z,X,Y)
| m1_subset_1(U,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_fraenkel) ).
cnf(116,axiom,
( v1_xboole_0(X)
| ~ m1_fraenkel(Y,Z,X)
| m2_fraenkel(U,Z,X,Y)
| ~ m1_subset_1(U,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_fraenkel) ).
cnf(120,axiom,
( ~ r2_hidden(X,Y)
| m1_subset_1(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
cnf(121,axiom,
( ~ m1_subset_1(X,Y)
| v1_xboole_0(Y)
| r2_hidden(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
cnf(125,axiom,
( v3_struct_0(X)
| ~ v1_group_1(X)
| ~ v3_group_1(X)
| ~ v4_group_1(X)
| ~ l1_group_1(X)
| ~ v1_funct_1(Y)
| ~ v1_funct_2(Y,u1_struct_0(X),u1_struct_0(X))
| ~ v1_group_6(Y,X,X)
| ~ m2_relset_1(Y,u1_struct_0(X),u1_struct_0(X))
| ~ r2_hidden(Y,k1_autgroup(X))
| v4_group_6(Y,X,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_autgroup) ).
cnf(126,axiom,
( v3_struct_0(X)
| ~ v1_group_1(X)
| ~ v3_group_1(X)
| ~ v4_group_1(X)
| ~ l1_group_1(X)
| ~ v1_funct_1(Y)
| ~ v1_funct_2(Y,u1_struct_0(X),u1_struct_0(X))
| ~ v1_group_6(Y,X,X)
| ~ m2_relset_1(Y,u1_struct_0(X),u1_struct_0(X))
| r2_hidden(Y,k1_autgroup(X))
| ~ v4_group_6(Y,X,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_autgroup) ).
cnf(128,axiom,
( v3_struct_0(X)
| ~ v1_group_1(X)
| ~ v3_group_1(X)
| ~ v4_group_1(X)
| ~ l1_group_1(X)
| ~ m2_fraenkel(Y,u1_struct_0(X),u1_struct_0(X),k1_autgroup(X))
| v1_funct_1(k2_funct_1(Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_autgroup) ).
cnf(129,axiom,
( v3_struct_0(X)
| ~ v1_group_1(X)
| ~ v3_group_1(X)
| ~ v4_group_1(X)
| ~ l1_group_1(X)
| ~ m2_fraenkel(Y,u1_struct_0(X),u1_struct_0(X),k1_autgroup(X))
| v1_funct_2(k2_funct_1(Y),u1_struct_0(X),u1_struct_0(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_autgroup) ).
cnf(130,axiom,
( v3_struct_0(X)
| ~ v1_group_1(X)
| ~ v3_group_1(X)
| ~ v4_group_1(X)
| ~ l1_group_1(X)
| ~ m2_fraenkel(Y,u1_struct_0(X),u1_struct_0(X),k1_autgroup(X))
| v1_group_6(k2_funct_1(Y),X,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_autgroup) ).
cnf(131,axiom,
( v3_struct_0(X)
| ~ v1_group_1(X)
| ~ v3_group_1(X)
| ~ v4_group_1(X)
| ~ l1_group_1(X)
| ~ m2_fraenkel(Y,u1_struct_0(X),u1_struct_0(X),k1_autgroup(X))
| m2_relset_1(k2_funct_1(Y),u1_struct_0(X),u1_struct_0(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_autgroup) ).
cnf(133,axiom,
( v3_struct_0(X)
| ~ v3_group_1(X)
| ~ v4_group_1(X)
| ~ l1_group_1(X)
| v3_struct_0(Y)
| ~ v3_group_1(Y)
| ~ v4_group_1(Y)
| ~ l1_group_1(Y)
| ~ v1_funct_1(Z)
| ~ v1_funct_2(Z,u1_struct_0(Y),u1_struct_0(X))
| ~ v1_group_6(Z,Y,X)
| ~ m2_relset_1(Z,u1_struct_0(Y),u1_struct_0(X))
| ~ v1_funct_1(U)
| ~ v1_funct_2(U,u1_struct_0(X),u1_struct_0(Y))
| ~ v1_group_6(U,X,Y)
| ~ m2_relset_1(U,u1_struct_0(X),u1_struct_0(Y))
| ~ v4_group_6(Z,Y,X)
| U != k2_funct_1(Z)
| v4_group_6(U,X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t73_group_6) ).
cnf(142,plain,
l1_struct_0('SKOLEMAAAM1'),
inference('HYPERRESOLVE',[status(thm)],[49,5]) ).
cnf(211,plain,
m1_fraenkel(k1_autgroup('SKOLEMAAAM1'),u1_struct_0('SKOLEMAAAM1'),u1_struct_0('SKOLEMAAAM1')),
inference('UR-RESOLVE',[status(thm)],[46,1,2,3,4,5]) ).
cnf(228,plain,
v1_funct_1(k2_funct_1('SKOLEMAAAM2')),
inference('UR-RESOLVE',[status(thm)],[128,1,2,3,4,5,6]) ).
cnf(233,plain,
v1_group_6(k2_funct_1('SKOLEMAAAM2'),'SKOLEMAAAM1','SKOLEMAAAM1'),
inference('UR-RESOLVE',[status(thm)],[130,1,2,3,4,5,6]) ).
cnf(246,plain,
v1_funct_2(k2_funct_1('SKOLEMAAAM2'),u1_struct_0('SKOLEMAAAM1'),u1_struct_0('SKOLEMAAAM1')),
inference('UR-RESOLVE',[status(thm)],[129,1,2,3,4,5,6]) ).
cnf(247,plain,
m2_relset_1(k2_funct_1('SKOLEMAAAM2'),u1_struct_0('SKOLEMAAAM1'),u1_struct_0('SKOLEMAAAM1')),
inference('UR-RESOLVE',[status(thm)],[131,1,2,3,4,5,6]) ).
cnf(271,plain,
~ v1_xboole_0(u1_struct_0('SKOLEMAAAM1')),
inference('UR-RESOLVE',[status(thm)],[67,142,1]) ).
cnf(815,plain,
v1_funct_1('SKOLEMAAAM2'),
inference('UR-RESOLVE',[status(thm)],[23,211,1,2,3,4,5,6,theory(equality)]) ).
cnf(817,plain,
v1_group_6('SKOLEMAAAM2','SKOLEMAAAM1','SKOLEMAAAM1'),
inference('UR-RESOLVE',[status(thm)],[25,211,1,2,3,4,5,6,theory(equality)]) ).
cnf(818,plain,
~ v1_xboole_0(k1_autgroup('SKOLEMAAAM1')),
inference('UR-RESOLVE',[status(thm)],[50,211]) ).
cnf(819,plain,
m1_subset_1('SKOLEMAAAM2',k1_autgroup('SKOLEMAAAM1')),
inference('UR-RESOLVE',[status(thm)],[115,211,271,6]) ).
cnf(820,plain,
m2_relset_1('SKOLEMAAAM2',u1_struct_0('SKOLEMAAAM1'),u1_struct_0('SKOLEMAAAM1')),
inference('UR-RESOLVE',[status(thm)],[26,211,1,2,3,4,5,6,theory(equality)]) ).
cnf(821,plain,
v1_funct_2('SKOLEMAAAM2',u1_struct_0('SKOLEMAAAM1'),u1_struct_0('SKOLEMAAAM1')),
inference('UR-RESOLVE',[status(thm)],[24,211,1,2,3,4,5,6,theory(equality)]) ).
cnf(822,plain,
~ m1_subset_1(k2_funct_1('SKOLEMAAAM2'),k1_autgroup('SKOLEMAAAM1')),
inference('UR-RESOLVE',[status(thm)],[116,211,271,7]) ).
cnf(874,plain,
r2_hidden('SKOLEMAAAM2',k1_autgroup('SKOLEMAAAM1')),
inference('UR-RESOLVE',[status(thm)],[121,819,818]) ).
cnf(1334,plain,
~ r2_hidden(k2_funct_1('SKOLEMAAAM2'),k1_autgroup('SKOLEMAAAM1')),
inference('UR-RESOLVE',[status(thm)],[120,822]) ).
cnf(1340,plain,
v4_group_6('SKOLEMAAAM2','SKOLEMAAAM1','SKOLEMAAAM1'),
inference('UR-RESOLVE',[status(thm)],[125,874,1,2,3,4,5,815,821,817,820]) ).
cnf(1346,plain,
v4_group_6(k2_funct_1('SKOLEMAAAM2'),'SKOLEMAAAM1','SKOLEMAAAM1'),
inference('UR-RESOLVE',[status(thm)],[133,1340,1,3,4,5,1,3,4,5,815,821,817,820,228,246,233,247,theory(equality)]) ).
cnf(11530,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[126,1334,1,2,3,4,5,228,246,233,247]),1346]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : GRP620+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.14 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n019.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jun 13 15:49:40 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.45 *
% 0.20/0.45 *
% 0.20/0.45 #<PACKAGE "SNARK-USER">
% 0.20/0.45 *
% 0.20/0.45 SNARK-TPTP-OPTIONS
% 0.20/0.45 *
% 0.20/0.45 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.45 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.45 (USE-FACTORING :POS)
% 0.20/0.45 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.45 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.45 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.45 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.45 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.45 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.45 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.45 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.45 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.45 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.45 *
% 0.20/0.45 "."
% 0.20/0.45 *
% 0.20/0.45 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T15:49:40
% 0.20/0.45 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-06-13T15:49:40
% 0.20/0.47 WARNING:
% 0.20/0.47 |v2_group_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 3.55/3.72
% 3.55/3.72
% 3.55/3.72 #||
% 3.55/3.72 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.55/3.72 % SZS output start Refutation
% See solution above
% 3.55/3.72 ||#
% 3.55/3.72
% 3.55/3.72 ; Summary of computation:
% 3.55/3.72 ; 12104 formulas have been input or derived (from 380 formulas).
% 3.55/3.72 ; 11530 (95%) were retained. Of these,
% 3.55/3.72 ; 12 ( 0%) were simplified or subsumed later,
% 3.55/3.72 ; 11518 (100%) are still being kept.
% 3.55/3.72 ;
% 3.55/3.72 ; Run time in seconds excluding printing time:
% 3.55/3.72 ; 0.011 0% Read assertion file (1 call)
% 3.55/3.72 ; 0.003 0% Assert (69 calls)
% 3.55/3.72 ; 0.695 21% Process new row (12,017 calls)
% 3.55/3.72 ; 2.351 72% Resolution (758 calls)
% 3.55/3.72 ; 0.005 0% Paramodulation (379 calls)
% 3.55/3.72 ; 0.000 0% Factoring (1 call)
% 3.55/3.72 ; 0.006 0% Condensing (130 calls)
% 3.55/3.72 ; 0.001 0% Forward subsumption (130 calls)
% 3.55/3.72 ; 0.000 0% Backward subsumption (127 calls)
% 3.55/3.72 ; 0.000 0% Clause clause subsumption (11 calls)
% 3.55/3.72 ; 0.078 2% Forward simplification (12,006 calls)
% 3.55/3.72 ; 0.053 2% Backward simplification (11,530 calls)
% 3.55/3.72 ; 0.000 0% Ordering (456 calls)
% 3.55/3.72 ; 0.000 0% Sortal reasoning (32 calls)
% 3.55/3.72 ; 0.000 0% Purity testing (1 call)
% 3.55/3.72 ; 0.060 2% Other
% 3.55/3.72 ; 3.263 Total
% 3.55/3.72 ; 3.268 Real time
% 3.55/3.72 ;
% 3.55/3.72 ; Term-hash-array has 23,158 terms in all.
% 3.55/3.72 ; Feature-vector-row-index has 127 entries (127 at peak, 127 added, 0 deleted).
% 3.55/3.72 ; Feature-vector-row-index has 851 nodes (851 at peak, 851 added, 0 deleted).
% 3.55/3.72 ; Retrieved 19 possibly forward subsuming rows in 130 calls.
% 3.55/3.72 ; Retrieved 12 possibly backward subsumed rows in 127 calls.
% 3.55/3.72 ; Path-index has 23,162 entries (23,162 at peak, 23,174 added, 12 deleted).
% 3.55/3.72 ; Path-index has 4,388 nodes (4,388 at peak, 4,400 added, 12 deleted).
% 3.55/3.72 ; Trie-index has 23,162 entries (23,162 at peak, 23,174 added, 12 deleted).
% 3.55/3.72 ; Trie-index has 47,984 nodes (47,984 at peak, 48,001 added, 17 deleted).
% 3.55/3.72 ; Retrieved 615 generalization terms in 12,749 calls.
% 3.55/3.72 ; Retrieved 11,406 instance terms in 11,402 calls.
% 3.55/3.72 ; Retrieved 3,398,616 unifiable terms in 697,527 calls.
% 3.55/3.72 ;
% 3.55/3.72 ; The agenda of rows to give has 11148 entries:
% 3.55/3.72 ; 10 with value (4 11) 42 with value (4 21) 8 with value (4 32)
% 3.55/3.72 ; 169 with value (4 12) 11 with value (4 22) 72 with value (4 33)
% 3.55/3.72 ; 311 with value (4 13) 18 with value (4 23) 8 with value (4 34)
% 3.55/3.72 ; 90 with value (4 14) 1 with value (4 24) 40 with value (4 36)
% 3.55/3.72 ; 463 with value (4 15) 9 with value (4 26) 2 with value (4 45)
% 3.55/3.72 ; 1748 with value (4 16) 8 with value (4 27) 2 with value (4 47)
% 3.55/3.72 ; 1530 with value (4 17) 40 with value (4 28) 4 with value (4 49)
% 3.55/3.72 ; 2210 with value (4 18) 8 with value (4 29) 2 with value (4 62)
% 3.55/3.72 ; 4217 with value (4 19) 72 with value (4 30) 2 with value (4 64)
% 3.55/3.72 ; 51 with value (4 20)
% 3.55/3.72 Evaluation took:
% 3.55/3.72 3.269 seconds of real time
% 3.55/3.72 3.138413 seconds of user run time
% 3.55/3.72 0.129724 seconds of system run time
% 3.55/3.72 [Run times include 0.492 seconds GC run time.]
% 3.55/3.72 0 calls to %EVAL
% 3.55/3.72 0 page faults and
% 3.55/3.72 344,715,120 bytes consed.
% 3.55/3.72 :PROOF-FOUND
% 3.55/3.72 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T15:49:43
% 3.55/3.72 :PROOF-FOUND
% 3.55/3.72 *
%------------------------------------------------------------------------------