%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP618+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 : n004.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 12:34:48 PM UTC 2026
% Result : Theorem 0.15s 0.41s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 19
% Syntax : Number of formulae : 85 ( 13 unt; 16 def)
% Number of atoms : 371 ( 0 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 461 ( 175 ~; 197 |; 48 &)
% ( 18 <=>; 22 =>; 0 <=; 1 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 26 ( 25 usr; 17 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 56 ( 48 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [A] :
( ( l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& v1_group_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_group_2(B,A)
=> ( ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ( m1_subset_1(D,u1_struct_0(B))
=> r1_rlvect_1(B,k2_group_3(A,D,C)) ) ) )
<=> v1_group_3(B,A) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ! [A] :
( ( l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& v1_group_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_group_2(B,A)
=> ( ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ( m1_subset_1(D,u1_struct_0(B))
=> r1_rlvect_1(B,k2_group_3(A,D,C)) ) ) )
<=> v1_group_3(B,A) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f61,axiom,
! [A] :
( ( l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& v1_group_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_group_2(B,A)
=> ( ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ( m1_subset_1(D,u1_struct_0(B))
=> r1_rlvect_1(B,k2_group_3(A,D,C)) ) ) )
=> v1_group_3(B,A) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f62,axiom,
! [A] :
( ( l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& v1_group_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_group_2(B,A)
=> ( v1_group_3(B,A)
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ( m1_subset_1(D,u1_struct_0(B))
=> r1_rlvect_1(B,k2_group_3(A,D,C)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f63,plain,
? [A] :
( ? [B] :
( ( ! [C] :
( ! [D] :
( r1_rlvect_1(B,k2_group_3(A,D,C))
| ~ m1_subset_1(D,u1_struct_0(B))
| ~ m1_subset_1(D,u1_struct_0(A)) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
<~> v1_group_3(B,A) )
& m1_group_2(B,A) )
& l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& v1_group_1(A)
& ~ v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f64,plain,
? [A] :
( ? [B] :
( ( ~ v1_group_3(B,A)
| ? [C] :
( ? [D] :
( ~ r1_rlvect_1(B,k2_group_3(A,D,C))
& m1_subset_1(D,u1_struct_0(B))
& m1_subset_1(D,u1_struct_0(A)) )
& m1_subset_1(C,u1_struct_0(A)) ) )
& ( v1_group_3(B,A)
| ! [C] :
( ! [D] :
( r1_rlvect_1(B,k2_group_3(A,D,C))
| ~ m1_subset_1(D,u1_struct_0(B))
| ~ m1_subset_1(D,u1_struct_0(A)) )
| ~ m1_subset_1(C,u1_struct_0(A)) ) )
& m1_group_2(B,A) )
& l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& v1_group_1(A)
& ~ v3_struct_0(A) ),
inference(NNF_transformation,[status(thm)],[f63]) ).
fof(f65,plain,
( ( ~ v1_group_3(sK1_skl,sK0_skl)
| ( ~ r1_rlvect_1(sK1_skl,k2_group_3(sK0_skl,sK3_skl,sK2_skl))
& m1_subset_1(sK3_skl,u1_struct_0(sK1_skl))
& m1_subset_1(sK3_skl,u1_struct_0(sK0_skl))
& m1_subset_1(sK2_skl,u1_struct_0(sK0_skl)) ) )
& ( v1_group_3(sK1_skl,sK0_skl)
| ! [C] :
( ! [D] :
( r1_rlvect_1(sK1_skl,k2_group_3(sK0_skl,D,C))
| ~ m1_subset_1(D,u1_struct_0(sK1_skl))
| ~ m1_subset_1(D,u1_struct_0(sK0_skl)) )
| ~ m1_subset_1(C,u1_struct_0(sK0_skl)) ) )
& m1_group_2(sK1_skl,sK0_skl)
& l1_group_1(sK0_skl)
& v4_group_1(sK0_skl)
& v3_group_1(sK0_skl)
& v1_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)],[f64]) ).
fof(f66,plain,
~ v3_struct_0(sK0_skl),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f67,plain,
v1_group_1(sK0_skl),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f68,plain,
v3_group_1(sK0_skl),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f69,plain,
v4_group_1(sK0_skl),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f70,plain,
l1_group_1(sK0_skl),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f71,plain,
m1_group_2(sK1_skl,sK0_skl),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f72,plain,
! [X0,X1] :
( v1_group_3(sK1_skl,sK0_skl)
| r1_rlvect_1(sK1_skl,k2_group_3(sK0_skl,X1,X0))
| ~ m1_subset_1(X1,u1_struct_0(sK1_skl))
| ~ m1_subset_1(X1,u1_struct_0(sK0_skl))
| ~ m1_subset_1(X0,u1_struct_0(sK0_skl)) ),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f73,plain,
( ~ v1_group_3(sK1_skl,sK0_skl)
| m1_subset_1(sK2_skl,u1_struct_0(sK0_skl)) ),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f74,plain,
( ~ v1_group_3(sK1_skl,sK0_skl)
| m1_subset_1(sK3_skl,u1_struct_0(sK0_skl)) ),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f75,plain,
( ~ v1_group_3(sK1_skl,sK0_skl)
| m1_subset_1(sK3_skl,u1_struct_0(sK1_skl)) ),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f76,plain,
( ~ v1_group_3(sK1_skl,sK0_skl)
| ~ r1_rlvect_1(sK1_skl,k2_group_3(sK0_skl,sK3_skl,sK2_skl)) ),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f242,plain,
! [A] :
( ! [B] :
( v1_group_3(B,A)
| ? [C] :
( ? [D] :
( ~ r1_rlvect_1(B,k2_group_3(A,D,C))
& m1_subset_1(D,u1_struct_0(B))
& m1_subset_1(D,u1_struct_0(A)) )
& m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_group_2(B,A) )
| ~ l1_group_1(A)
| ~ v4_group_1(A)
| ~ v3_group_1(A)
| ~ v1_group_1(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f61]) ).
fof(f243,plain,
! [A] :
( ! [B] :
( v1_group_3(B,A)
| ( ~ r1_rlvect_1(B,k2_group_3(A,sK26_skl(B,A),sK25_skl(B,A)))
& m1_subset_1(sK26_skl(B,A),u1_struct_0(B))
& m1_subset_1(sK26_skl(B,A),u1_struct_0(A))
& m1_subset_1(sK25_skl(B,A),u1_struct_0(A)) )
| ~ m1_group_2(B,A) )
| ~ l1_group_1(A)
| ~ v4_group_1(A)
| ~ v3_group_1(A)
| ~ v1_group_1(A)
| v3_struct_0(A) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK25_skl,sK26_skl]),skolemize(C,sK25_skl(B,A)),skolemize(D,sK26_skl(B,A))],[f242]) ).
fof(f244,plain,
! [X0,X1] :
( v1_group_3(X1,X0)
| m1_subset_1(sK25_skl(X1,X0),u1_struct_0(X0))
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f243]) ).
fof(f245,plain,
! [X0,X1] :
( v1_group_3(X1,X0)
| m1_subset_1(sK26_skl(X1,X0),u1_struct_0(X0))
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f243]) ).
fof(f246,plain,
! [X0,X1] :
( v1_group_3(X1,X0)
| m1_subset_1(sK26_skl(X1,X0),u1_struct_0(X1))
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f243]) ).
fof(f247,plain,
! [X0,X1] :
( v1_group_3(X1,X0)
| ~ r1_rlvect_1(X1,k2_group_3(X0,sK26_skl(X1,X0),sK25_skl(X1,X0)))
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f243]) ).
fof(f248,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( r1_rlvect_1(B,k2_group_3(A,D,C))
| ~ m1_subset_1(D,u1_struct_0(B))
| ~ m1_subset_1(D,u1_struct_0(A)) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ v1_group_3(B,A)
| ~ m1_group_2(B,A) )
| ~ l1_group_1(A)
| ~ v4_group_1(A)
| ~ v3_group_1(A)
| ~ v1_group_1(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f62]) ).
fof(f249,plain,
! [X0,X1,X2,X3] :
( r1_rlvect_1(X1,k2_group_3(X0,X3,X2))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v1_group_3(X1,X0)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f248]) ).
fof(f250,definition,
! [X0,X1] :
( sQ0_spl
<=> ( r1_rlvect_1(sK1_skl,k2_group_3(sK0_skl,X1,X0))
| ~ m1_subset_1(X1,u1_struct_0(sK1_skl))
| ~ m1_subset_1(X1,u1_struct_0(sK0_skl))
| ~ m1_subset_1(X0,u1_struct_0(sK0_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f251,plain,
! [X0,X1] :
( ~ sQ0_spl
| r1_rlvect_1(sK1_skl,k2_group_3(sK0_skl,X1,X0))
| ~ m1_subset_1(X1,u1_struct_0(sK1_skl))
| ~ m1_subset_1(X1,u1_struct_0(sK0_skl))
| ~ m1_subset_1(X0,u1_struct_0(sK0_skl)) ),
inference(component_clause,[status(thm)],[f250]) ).
fof(f253,definition,
( sQ1_spl
<=> v1_group_3(sK1_skl,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f255,plain,
( sQ1_spl
| ~ v1_group_3(sK1_skl,sK0_skl) ),
inference(component_clause,[status(thm)],[f253]) ).
fof(f256,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f72,f250,f253]) ).
fof(f257,definition,
( sQ2_spl
<=> m1_subset_1(sK2_skl,u1_struct_0(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f260,plain,
( ~ sQ1_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f73,f257,f253]) ).
fof(f261,definition,
( sQ3_spl
<=> m1_subset_1(sK3_skl,u1_struct_0(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f264,plain,
( ~ sQ1_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f74,f261,f253]) ).
fof(f265,definition,
( sQ4_spl
<=> m1_subset_1(sK3_skl,u1_struct_0(sK1_skl)) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f268,plain,
( ~ sQ1_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f75,f265,f253]) ).
fof(f269,definition,
( sQ5_spl
<=> r1_rlvect_1(sK1_skl,k2_group_3(sK0_skl,sK3_skl,sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f271,plain,
( sQ5_spl
| ~ r1_rlvect_1(sK1_skl,k2_group_3(sK0_skl,sK3_skl,sK2_skl)) ),
inference(component_clause,[status(thm)],[f269]) ).
fof(f272,plain,
( ~ sQ1_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f76,f269,f253]) ).
fof(f275,plain,
( sQ1_spl
| ~ r1_rlvect_1(sK1_skl,k2_group_3(sK0_skl,sK26_skl(sK1_skl,sK0_skl),sK25_skl(sK1_skl,sK0_skl)))
| ~ m1_group_2(sK1_skl,sK0_skl)
| ~ l1_group_1(sK0_skl)
| ~ v4_group_1(sK0_skl)
| ~ v3_group_1(sK0_skl)
| ~ v1_group_1(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f247,f255]) ).
fof(f276,definition,
( sQ6_spl
<=> v3_struct_0(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f277,plain,
( ~ sQ6_spl
| v3_struct_0(sK0_skl) ),
inference(component_clause,[status(thm)],[f276]) ).
fof(f279,definition,
( sQ7_spl
<=> v1_group_1(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f281,plain,
( sQ7_spl
| ~ v1_group_1(sK0_skl) ),
inference(component_clause,[status(thm)],[f279]) ).
fof(f282,definition,
( sQ8_spl
<=> v3_group_1(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f284,plain,
( sQ8_spl
| ~ v3_group_1(sK0_skl) ),
inference(component_clause,[status(thm)],[f282]) ).
fof(f285,definition,
( sQ9_spl
<=> v4_group_1(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f287,plain,
( sQ9_spl
| ~ v4_group_1(sK0_skl) ),
inference(component_clause,[status(thm)],[f285]) ).
fof(f288,definition,
( sQ10_spl
<=> l1_group_1(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f290,plain,
( sQ10_spl
| ~ l1_group_1(sK0_skl) ),
inference(component_clause,[status(thm)],[f288]) ).
fof(f291,definition,
( sQ11_spl
<=> m1_group_2(sK1_skl,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f293,plain,
( sQ11_spl
| ~ m1_group_2(sK1_skl,sK0_skl) ),
inference(component_clause,[status(thm)],[f291]) ).
fof(f294,definition,
( sQ12_spl
<=> r1_rlvect_1(sK1_skl,k2_group_3(sK0_skl,sK26_skl(sK1_skl,sK0_skl),sK25_skl(sK1_skl,sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f296,plain,
( sQ12_spl
| ~ r1_rlvect_1(sK1_skl,k2_group_3(sK0_skl,sK26_skl(sK1_skl,sK0_skl),sK25_skl(sK1_skl,sK0_skl))) ),
inference(component_clause,[status(thm)],[f294]) ).
fof(f297,plain,
( sQ1_spl
| ~ sQ12_spl
| ~ sQ11_spl
| ~ sQ10_spl
| ~ sQ9_spl
| ~ sQ8_spl
| ~ sQ7_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f275,f276,f279,f282,f285,f288,f291,f294,f253]) ).
fof(f298,plain,
( sQ5_spl
| ~ m1_subset_1(sK3_skl,u1_struct_0(sK1_skl))
| ~ m1_subset_1(sK3_skl,u1_struct_0(sK0_skl))
| ~ m1_subset_1(sK2_skl,u1_struct_0(sK0_skl))
| ~ v1_group_3(sK1_skl,sK0_skl)
| ~ m1_group_2(sK1_skl,sK0_skl)
| ~ l1_group_1(sK0_skl)
| ~ v4_group_1(sK0_skl)
| ~ v3_group_1(sK0_skl)
| ~ v1_group_1(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f271,f249]) ).
fof(f299,plain,
( sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ11_spl
| ~ sQ10_spl
| ~ sQ9_spl
| ~ sQ8_spl
| ~ sQ7_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f298,f276,f279,f282,f285,f288,f291,f253,f257,f261,f265,f269]) ).
fof(f300,plain,
( sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f293,f71]) ).
fof(f301,plain,
sQ11_spl,
inference(contradiction_clause,[status(thm)],[f300]) ).
fof(f302,plain,
( sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f290,f70]) ).
fof(f303,plain,
sQ10_spl,
inference(contradiction_clause,[status(thm)],[f302]) ).
fof(f304,plain,
( sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f287,f69]) ).
fof(f305,plain,
sQ9_spl,
inference(contradiction_clause,[status(thm)],[f304]) ).
fof(f306,plain,
( sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f284,f68]) ).
fof(f307,plain,
sQ8_spl,
inference(contradiction_clause,[status(thm)],[f306]) ).
fof(f308,plain,
( ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f277,f66]) ).
fof(f309,plain,
~ sQ6_spl,
inference(contradiction_clause,[status(thm)],[f308]) ).
fof(f310,plain,
( sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f281,f67]) ).
fof(f311,plain,
sQ7_spl,
inference(contradiction_clause,[status(thm)],[f310]) ).
fof(f314,plain,
( ~ sQ0_spl
| sQ12_spl
| ~ m1_subset_1(sK26_skl(sK1_skl,sK0_skl),u1_struct_0(sK1_skl))
| ~ m1_subset_1(sK26_skl(sK1_skl,sK0_skl),u1_struct_0(sK0_skl))
| ~ m1_subset_1(sK25_skl(sK1_skl,sK0_skl),u1_struct_0(sK0_skl)) ),
inference(resolution,[status(thm)],[f296,f251]) ).
fof(f316,definition,
( sQ13_spl
<=> m1_subset_1(sK25_skl(sK1_skl,sK0_skl),u1_struct_0(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f318,plain,
( sQ13_spl
| ~ m1_subset_1(sK25_skl(sK1_skl,sK0_skl),u1_struct_0(sK0_skl)) ),
inference(component_clause,[status(thm)],[f316]) ).
fof(f319,definition,
( sQ14_spl
<=> m1_subset_1(sK26_skl(sK1_skl,sK0_skl),u1_struct_0(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f321,plain,
( sQ14_spl
| ~ m1_subset_1(sK26_skl(sK1_skl,sK0_skl),u1_struct_0(sK0_skl)) ),
inference(component_clause,[status(thm)],[f319]) ).
fof(f322,definition,
( sQ15_spl
<=> m1_subset_1(sK26_skl(sK1_skl,sK0_skl),u1_struct_0(sK1_skl)) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f324,plain,
( sQ15_spl
| ~ m1_subset_1(sK26_skl(sK1_skl,sK0_skl),u1_struct_0(sK1_skl)) ),
inference(component_clause,[status(thm)],[f322]) ).
fof(f325,plain,
( ~ sQ0_spl
| sQ12_spl
| ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f314,f316,f319,f322,f294,f250]) ).
fof(f327,plain,
( sQ15_spl
| v1_group_3(sK1_skl,sK0_skl)
| ~ m1_group_2(sK1_skl,sK0_skl)
| ~ l1_group_1(sK0_skl)
| ~ v4_group_1(sK0_skl)
| ~ v3_group_1(sK0_skl)
| ~ v1_group_1(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f324,f246]) ).
fof(f328,plain,
( sQ15_spl
| sQ1_spl
| ~ sQ11_spl
| ~ sQ10_spl
| ~ sQ9_spl
| ~ sQ8_spl
| ~ sQ7_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f327,f276,f279,f282,f285,f288,f291,f253,f322]) ).
fof(f329,plain,
( sQ13_spl
| v1_group_3(sK1_skl,sK0_skl)
| ~ m1_group_2(sK1_skl,sK0_skl)
| ~ l1_group_1(sK0_skl)
| ~ v4_group_1(sK0_skl)
| ~ v3_group_1(sK0_skl)
| ~ v1_group_1(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f318,f244]) ).
fof(f330,plain,
( sQ13_spl
| sQ1_spl
| ~ sQ11_spl
| ~ sQ10_spl
| ~ sQ9_spl
| ~ sQ8_spl
| ~ sQ7_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f329,f276,f279,f282,f285,f288,f291,f253,f316]) ).
fof(f331,plain,
( sQ14_spl
| v1_group_3(sK1_skl,sK0_skl)
| ~ m1_group_2(sK1_skl,sK0_skl)
| ~ l1_group_1(sK0_skl)
| ~ v4_group_1(sK0_skl)
| ~ v3_group_1(sK0_skl)
| ~ v1_group_1(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f321,f245]) ).
fof(f332,plain,
( sQ14_spl
| sQ1_spl
| ~ sQ11_spl
| ~ sQ10_spl
| ~ sQ9_spl
| ~ sQ8_spl
| ~ sQ7_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f331,f276,f279,f282,f285,f288,f291,f253,f319]) ).
fof(f333,plain,
$false,
inference(sat_refutation,[status(thm)],[f256,f260,f264,f268,f272,f297,f299,f301,f303,f305,f307,f309,f311,f325,f328,f330,f332]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP618+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n004.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 20 20:18:05 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.15/0.39 % Drodi V4.1.1
% 0.15/0.41 % Refutation found
% 0.15/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.45 % Elapsed time: 0.060019 seconds
% 0.15/0.45 % CPU time: 0.167595 seconds
% 0.15/0.45 % Total memory used: 85.341 MB
% 0.15/0.45 % Net memory used: 85.235 MB
%------------------------------------------------------------------------------