%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP643+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:34:56 PM UTC 2026
% Result : Theorem 0.21s 5.57s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 16
% Syntax : Number of formulae : 75 ( 20 unt; 12 def)
% Number of atoms : 294 ( 0 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 353 ( 134 ~; 144 |; 42 &)
% ( 14 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 22 ( 21 usr; 13 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 48 ( 44 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [A] :
( ( l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( m1_group_2(B,A)
& v1_group_1(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ( ( r2_hidden(D,k1_funct_1(k1_latsubgr(A),B))
& r2_hidden(C,k1_funct_1(k1_latsubgr(A),B)) )
=> r2_hidden(k1_group_1(A,C,D),k1_funct_1(k1_latsubgr(A),B)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ! [A] :
( ( l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( m1_group_2(B,A)
& v1_group_1(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ( ( r2_hidden(D,k1_funct_1(k1_latsubgr(A),B))
& r2_hidden(C,k1_funct_1(k1_latsubgr(A),B)) )
=> r2_hidden(k1_group_1(A,C,D),k1_funct_1(k1_latsubgr(A),B)) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f11,axiom,
! [A,B,C] :
( ( m1_subset_1(C,u1_struct_0(A))
& m1_subset_1(B,u1_struct_0(A))
& l1_group_1(A)
& ~ v3_struct_0(A) )
=> m1_subset_1(k1_group_1(A,B,C),u1_struct_0(A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f47,axiom,
! [A] :
( ( l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( m1_group_2(B,A)
& v1_group_1(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ( r2_hidden(C,k1_funct_1(k1_latsubgr(A),B))
<=> r1_rlvect_1(B,C) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f52,axiom,
! [A] :
( ( l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_group_2(D,A)
=> ( ( r1_rlvect_1(D,C)
& r1_rlvect_1(D,B) )
=> r1_rlvect_1(D,k1_group_1(A,B,C)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f57,plain,
? [A] :
( ? [B] :
( ? [C] :
( ? [D] :
( ~ r2_hidden(k1_group_1(A,C,D),k1_funct_1(k1_latsubgr(A),B))
& r2_hidden(D,k1_funct_1(k1_latsubgr(A),B))
& r2_hidden(C,k1_funct_1(k1_latsubgr(A),B))
& m1_subset_1(D,u1_struct_0(A)) )
& m1_subset_1(C,u1_struct_0(A)) )
& m1_group_2(B,A)
& v1_group_1(B) )
& l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& ~ v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f58,plain,
( ~ r2_hidden(k1_group_1(sK0_skl,sK2_skl,sK3_skl),k1_funct_1(k1_latsubgr(sK0_skl),sK1_skl))
& r2_hidden(sK3_skl,k1_funct_1(k1_latsubgr(sK0_skl),sK1_skl))
& r2_hidden(sK2_skl,k1_funct_1(k1_latsubgr(sK0_skl),sK1_skl))
& m1_subset_1(sK3_skl,u1_struct_0(sK0_skl))
& m1_subset_1(sK2_skl,u1_struct_0(sK0_skl))
& m1_group_2(sK1_skl,sK0_skl)
& v1_group_1(sK1_skl)
& l1_group_1(sK0_skl)
& v4_group_1(sK0_skl)
& v3_group_1(sK0_skl)
& ~ v3_struct_0(sK0_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl]),skolemize(A,sK0_skl),skolemize(B,sK1_skl),skolemize(C,sK2_skl),skolemize(D,sK3_skl)],[f57]) ).
fof(f59,plain,
~ v3_struct_0(sK0_skl),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f60,plain,
v3_group_1(sK0_skl),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f61,plain,
v4_group_1(sK0_skl),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f62,plain,
l1_group_1(sK0_skl),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f63,plain,
v1_group_1(sK1_skl),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f64,plain,
m1_group_2(sK1_skl,sK0_skl),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f65,plain,
m1_subset_1(sK2_skl,u1_struct_0(sK0_skl)),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f66,plain,
m1_subset_1(sK3_skl,u1_struct_0(sK0_skl)),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f67,plain,
r2_hidden(sK2_skl,k1_funct_1(k1_latsubgr(sK0_skl),sK1_skl)),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f68,plain,
r2_hidden(sK3_skl,k1_funct_1(k1_latsubgr(sK0_skl),sK1_skl)),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f69,plain,
~ r2_hidden(k1_group_1(sK0_skl,sK2_skl,sK3_skl),k1_funct_1(k1_latsubgr(sK0_skl),sK1_skl)),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f93,plain,
! [A,B,C] :
( m1_subset_1(k1_group_1(A,B,C),u1_struct_0(A))
| ~ m1_subset_1(C,u1_struct_0(A))
| ~ m1_subset_1(B,u1_struct_0(A))
| ~ l1_group_1(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f11]) ).
fof(f94,plain,
! [X0,X1,X2] :
( m1_subset_1(k1_group_1(X0,X1,X2),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f93]) ).
fof(f168,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( r2_hidden(C,k1_funct_1(k1_latsubgr(A),B))
<=> r1_rlvect_1(B,C) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_group_2(B,A)
| ~ v1_group_1(B) )
| ~ l1_group_1(A)
| ~ v4_group_1(A)
| ~ v3_group_1(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f47]) ).
fof(f169,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( ( ~ r1_rlvect_1(B,C)
| r2_hidden(C,k1_funct_1(k1_latsubgr(A),B)) )
& ( r1_rlvect_1(B,C)
| ~ r2_hidden(C,k1_funct_1(k1_latsubgr(A),B)) ) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_group_2(B,A)
| ~ v1_group_1(B) )
| ~ l1_group_1(A)
| ~ v4_group_1(A)
| ~ v3_group_1(A)
| v3_struct_0(A) ),
inference(NNF_transformation,[status(thm)],[f168]) ).
fof(f170,plain,
! [X0,X1,X2] :
( r1_rlvect_1(X1,X2)
| ~ r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_group_2(X1,X0)
| ~ v1_group_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f169]) ).
fof(f171,plain,
! [X0,X1,X2] :
( ~ r1_rlvect_1(X1,X2)
| r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_group_2(X1,X0)
| ~ v1_group_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f169]) ).
fof(f183,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( r1_rlvect_1(D,k1_group_1(A,B,C))
| ~ r1_rlvect_1(D,C)
| ~ r1_rlvect_1(D,B)
| ~ m1_group_2(D,A) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_group_1(A)
| ~ v4_group_1(A)
| ~ v3_group_1(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f52]) ).
fof(f184,plain,
! [X0,X1,X2,X3] :
( r1_rlvect_1(X3,k1_group_1(X0,X1,X2))
| ~ r1_rlvect_1(X3,X2)
| ~ r1_rlvect_1(X3,X1)
| ~ m1_group_2(X3,X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f183]) ).
fof(f234,definition,
( sQ6_spl
<=> v3_struct_0(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f235,plain,
( ~ sQ6_spl
| v3_struct_0(sK0_skl) ),
inference(component_clause,[status(thm)],[f234]) ).
fof(f237,definition,
( sQ7_spl
<=> v3_group_1(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f239,plain,
( sQ7_spl
| ~ v3_group_1(sK0_skl) ),
inference(component_clause,[status(thm)],[f237]) ).
fof(f240,definition,
( sQ8_spl
<=> l1_group_1(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f242,plain,
( sQ8_spl
| ~ l1_group_1(sK0_skl) ),
inference(component_clause,[status(thm)],[f240]) ).
fof(f252,plain,
( sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f242,f62]) ).
fof(f253,plain,
sQ8_spl,
inference(contradiction_clause,[status(thm)],[f252]) ).
fof(f254,plain,
( sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f239,f60]) ).
fof(f255,plain,
sQ7_spl,
inference(contradiction_clause,[status(thm)],[f254]) ).
fof(f256,plain,
( ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f235,f59]) ).
fof(f257,plain,
~ sQ6_spl,
inference(contradiction_clause,[status(thm)],[f256]) ).
fof(f273,plain,
( r1_rlvect_1(sK1_skl,sK3_skl)
| ~ m1_subset_1(sK3_skl,u1_struct_0(sK0_skl))
| ~ m1_group_2(sK1_skl,sK0_skl)
| ~ v1_group_1(sK1_skl)
| ~ l1_group_1(sK0_skl)
| ~ v4_group_1(sK0_skl)
| ~ v3_group_1(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f170,f68]) ).
fof(f274,plain,
( r1_rlvect_1(sK1_skl,sK2_skl)
| ~ m1_subset_1(sK2_skl,u1_struct_0(sK0_skl))
| ~ m1_group_2(sK1_skl,sK0_skl)
| ~ v1_group_1(sK1_skl)
| ~ l1_group_1(sK0_skl)
| ~ v4_group_1(sK0_skl)
| ~ v3_group_1(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f170,f67]) ).
fof(f275,definition,
( sQ12_spl
<=> v4_group_1(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f277,plain,
( sQ12_spl
| ~ v4_group_1(sK0_skl) ),
inference(component_clause,[status(thm)],[f275]) ).
fof(f278,definition,
( sQ13_spl
<=> v1_group_1(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f280,plain,
( sQ13_spl
| ~ v1_group_1(sK1_skl) ),
inference(component_clause,[status(thm)],[f278]) ).
fof(f281,definition,
( sQ14_spl
<=> m1_group_2(sK1_skl,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f283,plain,
( sQ14_spl
| ~ m1_group_2(sK1_skl,sK0_skl) ),
inference(component_clause,[status(thm)],[f281]) ).
fof(f284,definition,
( sQ15_spl
<=> m1_subset_1(sK3_skl,u1_struct_0(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f286,plain,
( sQ15_spl
| ~ m1_subset_1(sK3_skl,u1_struct_0(sK0_skl)) ),
inference(component_clause,[status(thm)],[f284]) ).
fof(f287,definition,
( sQ16_spl
<=> r1_rlvect_1(sK1_skl,sK3_skl) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f290,plain,
( sQ16_spl
| ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ8_spl
| ~ sQ12_spl
| ~ sQ7_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f273,f234,f237,f275,f240,f278,f281,f284,f287]) ).
fof(f291,definition,
( sQ17_spl
<=> m1_subset_1(sK2_skl,u1_struct_0(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f293,plain,
( sQ17_spl
| ~ m1_subset_1(sK2_skl,u1_struct_0(sK0_skl)) ),
inference(component_clause,[status(thm)],[f291]) ).
fof(f294,definition,
( sQ18_spl
<=> r1_rlvect_1(sK1_skl,sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f297,plain,
( sQ18_spl
| ~ sQ17_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ8_spl
| ~ sQ12_spl
| ~ sQ7_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f274,f234,f237,f275,f240,f278,f281,f291,f294]) ).
fof(f298,plain,
( sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f283,f64]) ).
fof(f299,plain,
sQ14_spl,
inference(contradiction_clause,[status(thm)],[f298]) ).
fof(f300,plain,
( sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f280,f63]) ).
fof(f301,plain,
sQ13_spl,
inference(contradiction_clause,[status(thm)],[f300]) ).
fof(f302,plain,
( sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f277,f61]) ).
fof(f303,plain,
sQ12_spl,
inference(contradiction_clause,[status(thm)],[f302]) ).
fof(f304,plain,
( sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f286,f66]) ).
fof(f305,plain,
sQ15_spl,
inference(contradiction_clause,[status(thm)],[f304]) ).
fof(f306,plain,
( sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f293,f65]) ).
fof(f307,plain,
sQ17_spl,
inference(contradiction_clause,[status(thm)],[f306]) ).
fof(f308,plain,
( ~ r1_rlvect_1(sK1_skl,k1_group_1(sK0_skl,sK2_skl,sK3_skl))
| ~ m1_subset_1(k1_group_1(sK0_skl,sK2_skl,sK3_skl),u1_struct_0(sK0_skl))
| ~ m1_group_2(sK1_skl,sK0_skl)
| ~ v1_group_1(sK1_skl)
| ~ l1_group_1(sK0_skl)
| ~ v4_group_1(sK0_skl)
| ~ v3_group_1(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f171,f69]) ).
fof(f313,definition,
( sQ19_spl
<=> m1_subset_1(k1_group_1(sK0_skl,sK2_skl,sK3_skl),u1_struct_0(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f315,plain,
( sQ19_spl
| ~ m1_subset_1(k1_group_1(sK0_skl,sK2_skl,sK3_skl),u1_struct_0(sK0_skl)) ),
inference(component_clause,[status(thm)],[f313]) ).
fof(f316,definition,
( sQ20_spl
<=> r1_rlvect_1(sK1_skl,k1_group_1(sK0_skl,sK2_skl,sK3_skl)) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f318,plain,
( sQ20_spl
| ~ r1_rlvect_1(sK1_skl,k1_group_1(sK0_skl,sK2_skl,sK3_skl)) ),
inference(component_clause,[status(thm)],[f316]) ).
fof(f319,plain,
( ~ sQ20_spl
| ~ sQ19_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ8_spl
| ~ sQ12_spl
| ~ sQ7_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f308,f234,f237,f275,f240,f278,f281,f313,f316]) ).
fof(f391,plain,
( sQ19_spl
| ~ m1_subset_1(sK3_skl,u1_struct_0(sK0_skl))
| ~ m1_subset_1(sK2_skl,u1_struct_0(sK0_skl))
| ~ l1_group_1(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f315,f94]) ).
fof(f392,plain,
( sQ19_spl
| ~ sQ15_spl
| ~ sQ17_spl
| ~ sQ8_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f391,f234,f240,f291,f284,f313]) ).
fof(f394,plain,
( sQ20_spl
| ~ r1_rlvect_1(sK1_skl,sK3_skl)
| ~ r1_rlvect_1(sK1_skl,sK2_skl)
| ~ m1_group_2(sK1_skl,sK0_skl)
| ~ m1_subset_1(sK3_skl,u1_struct_0(sK0_skl))
| ~ m1_subset_1(sK2_skl,u1_struct_0(sK0_skl))
| ~ l1_group_1(sK0_skl)
| ~ v4_group_1(sK0_skl)
| ~ v3_group_1(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f318,f184]) ).
fof(f395,plain,
( sQ20_spl
| ~ sQ16_spl
| ~ sQ18_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ17_spl
| ~ sQ8_spl
| ~ sQ12_spl
| ~ sQ7_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f394,f234,f237,f275,f240,f291,f284,f281,f294,f287,f316]) ).
fof(f396,plain,
$false,
inference(sat_refutation,[status(thm)],[f253,f255,f257,f290,f297,f299,f301,f303,f305,f307,f319,f392,f395]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP643+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/5.48 % Computer : n006.cluster.edu
% 0.17/5.48 % Model : x86_64 x86_64
% 0.17/5.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/5.48 % Memory : 8046.5625MB
% 0.17/5.48 % OS : Linux 6.8.0-71-generic
% 0.17/5.48 % CPULimit : 300
% 0.17/5.48 % WCLimit : 300
% 0.17/5.48 % DateTime : Sun Sep 20 20:25:03 UTC 2026
% 0.17/5.49 % CPUTime :
% 0.21/5.50 % Drodi V4.1.1
% 0.21/5.57 % Refutation found
% 0.21/5.57 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.21/5.57 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/5.59 % Elapsed time: 0.095262 seconds
% 0.21/5.59 % CPU time: 0.328542 seconds
% 0.21/5.59 % Total memory used: 55.727 MB
% 0.21/5.59 % Net memory used: 55.581 MB
%------------------------------------------------------------------------------