%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP644+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 12:34:57 PM UTC 2026
% Result : Theorem 0.09s 0.39s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 17
% Syntax : Number of formulae : 81 ( 18 unt; 13 def)
% Number of atoms : 328 ( 0 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 419 ( 172 ~; 180 |; 36 &)
% ( 15 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 23 ( 22 usr; 14 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 57 ( 54 !; 3 ?)
% 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))
=> ( r2_hidden(C,k1_funct_1(k1_latsubgr(A),B))
=> r2_hidden(k3_group_1(A,C),k1_funct_1(k1_latsubgr(A),B)) ) ) ) ),
file('/export/starexec/sandbox2/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))
=> ( r2_hidden(C,k1_funct_1(k1_latsubgr(A),B))
=> r2_hidden(k3_group_1(A,C),k1_funct_1(k1_latsubgr(A),B)) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f16,axiom,
! [A,B] :
( ( m1_subset_1(B,u1_struct_0(A))
& l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& ~ v3_struct_0(A) )
=> m1_subset_1(k3_group_1(A,B),u1_struct_0(A)) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f53,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_group_2(C,A)
=> ( r1_rlvect_1(C,B)
=> r1_rlvect_1(C,k3_group_1(A,B)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f57,plain,
? [A] :
( ? [B] :
( ? [C] :
( ~ r2_hidden(k3_group_1(A,C),k1_funct_1(k1_latsubgr(A),B))
& 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(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f58,plain,
( ~ r2_hidden(k3_group_1(sK0_skl,sK2_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(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]),skolemize(A,sK0_skl),skolemize(B,sK1_skl),skolemize(C,sK2_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,
r2_hidden(sK2_skl,k1_funct_1(k1_latsubgr(sK0_skl),sK1_skl)),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f67,plain,
~ r2_hidden(k3_group_1(sK0_skl,sK2_skl),k1_funct_1(k1_latsubgr(sK0_skl),sK1_skl)),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f95,plain,
! [A,B] :
( m1_subset_1(k3_group_1(A,B),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)],[f16]) ).
fof(f96,plain,
! [X0,X1] :
( m1_subset_1(k3_group_1(X0,X1),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)],[f95]) ).
fof(f166,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(f167,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)],[f166]) ).
fof(f168,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)],[f167]) ).
fof(f169,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)],[f167]) ).
fof(f184,plain,
! [A] :
( ! [B] :
( ! [C] :
( r1_rlvect_1(C,k3_group_1(A,B))
| ~ r1_rlvect_1(C,B)
| ~ m1_group_2(C,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)],[f53]) ).
fof(f185,plain,
! [X0,X1,X2] :
( r1_rlvect_1(X2,k3_group_1(X0,X1))
| ~ r1_rlvect_1(X2,X1)
| ~ m1_group_2(X2,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)],[f184]) ).
fof(f204,definition,
( sQ2_spl
<=> v3_struct_0(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f205,plain,
( ~ sQ2_spl
| v3_struct_0(sK0_skl) ),
inference(component_clause,[status(thm)],[f204]) ).
fof(f207,definition,
( sQ3_spl
<=> v3_group_1(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f209,plain,
( sQ3_spl
| ~ v3_group_1(sK0_skl) ),
inference(component_clause,[status(thm)],[f207]) ).
fof(f210,definition,
( sQ4_spl
<=> l1_group_1(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f212,plain,
( sQ4_spl
| ~ l1_group_1(sK0_skl) ),
inference(component_clause,[status(thm)],[f210]) ).
fof(f217,plain,
! [X0,X1] :
( ~ r1_rlvect_1(X0,X1)
| r2_hidden(X1,k1_funct_1(k1_latsubgr(sK0_skl),X0))
| ~ m1_subset_1(X1,u1_struct_0(sK0_skl))
| ~ m1_group_2(X0,sK0_skl)
| ~ v1_group_1(X0)
| ~ l1_group_1(sK0_skl)
| ~ v3_group_1(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f169,f61]) ).
fof(f219,definition,
! [X0,X1] :
( sQ6_spl
<=> ( ~ r1_rlvect_1(X0,X1)
| r2_hidden(X1,k1_funct_1(k1_latsubgr(sK0_skl),X0))
| ~ m1_subset_1(X1,u1_struct_0(sK0_skl))
| ~ m1_group_2(X0,sK0_skl)
| ~ v1_group_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f220,plain,
! [X0,X1] :
( ~ sQ6_spl
| ~ r1_rlvect_1(X0,X1)
| r2_hidden(X1,k1_funct_1(k1_latsubgr(sK0_skl),X0))
| ~ m1_subset_1(X1,u1_struct_0(sK0_skl))
| ~ m1_group_2(X0,sK0_skl)
| ~ v1_group_1(X0) ),
inference(component_clause,[status(thm)],[f219]) ).
fof(f222,plain,
( sQ6_spl
| ~ sQ4_spl
| ~ sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f217,f204,f207,f210,f219]) ).
fof(f223,plain,
( sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f212,f62]) ).
fof(f224,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f223]) ).
fof(f225,plain,
( sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f209,f60]) ).
fof(f226,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f225]) ).
fof(f227,plain,
( ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f205,f59]) ).
fof(f228,plain,
~ sQ2_spl,
inference(contradiction_clause,[status(thm)],[f227]) ).
fof(f230,definition,
( sQ7_spl
<=> m1_group_2(sK1_skl,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f232,plain,
( sQ7_spl
| ~ m1_group_2(sK1_skl,sK0_skl) ),
inference(component_clause,[status(thm)],[f230]) ).
fof(f233,definition,
! [X0] :
( sQ8_spl
<=> ( ~ r1_rlvect_1(sK1_skl,X0)
| r2_hidden(X0,k1_funct_1(k1_latsubgr(sK0_skl),sK1_skl))
| ~ m1_subset_1(X0,u1_struct_0(sK0_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f234,plain,
! [X0] :
( ~ sQ8_spl
| ~ r1_rlvect_1(sK1_skl,X0)
| r2_hidden(X0,k1_funct_1(k1_latsubgr(sK0_skl),sK1_skl))
| ~ m1_subset_1(X0,u1_struct_0(sK0_skl)) ),
inference(component_clause,[status(thm)],[f233]) ).
fof(f237,plain,
( sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f232,f64]) ).
fof(f238,plain,
sQ7_spl,
inference(contradiction_clause,[status(thm)],[f237]) ).
fof(f242,plain,
! [X0] :
( ~ sQ6_spl
| ~ r1_rlvect_1(sK1_skl,X0)
| r2_hidden(X0,k1_funct_1(k1_latsubgr(sK0_skl),sK1_skl))
| ~ m1_subset_1(X0,u1_struct_0(sK0_skl))
| ~ m1_group_2(sK1_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f220,f63]) ).
fof(f243,plain,
( ~ sQ6_spl
| sQ8_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f242,f230,f233,f219]) ).
fof(f246,plain,
! [X0,X1] :
( ~ sQ8_spl
| ~ r1_rlvect_1(sK1_skl,X1)
| ~ m1_group_2(sK1_skl,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)
| r2_hidden(k3_group_1(X0,X1),k1_funct_1(k1_latsubgr(sK0_skl),sK1_skl))
| ~ m1_subset_1(k3_group_1(X0,X1),u1_struct_0(sK0_skl)) ),
inference(resolution,[status(thm)],[f234,f185]) ).
fof(f258,definition,
( sQ12_spl
<=> v1_group_1(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f260,plain,
( sQ12_spl
| ~ v1_group_1(sK1_skl) ),
inference(component_clause,[status(thm)],[f258]) ).
fof(f271,plain,
( sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f260,f63]) ).
fof(f272,plain,
sQ12_spl,
inference(contradiction_clause,[status(thm)],[f271]) ).
fof(f273,plain,
! [X0] :
( ~ sQ8_spl
| ~ m1_subset_1(X0,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)
| ~ r1_rlvect_1(sK1_skl,X0)
| ~ m1_group_2(sK1_skl,sK0_skl)
| ~ m1_subset_1(X0,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)
| r2_hidden(k3_group_1(sK0_skl,X0),k1_funct_1(k1_latsubgr(sK0_skl),sK1_skl)) ),
inference(resolution,[status(thm)],[f246,f96]) ).
fof(f274,definition,
! [X0] :
( sQ14_spl
<=> ( ~ m1_subset_1(X0,u1_struct_0(sK0_skl))
| ~ r1_rlvect_1(sK1_skl,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK0_skl))
| r2_hidden(k3_group_1(sK0_skl,X0),k1_funct_1(k1_latsubgr(sK0_skl),sK1_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f275,plain,
! [X0] :
( ~ sQ14_spl
| ~ m1_subset_1(X0,u1_struct_0(sK0_skl))
| ~ r1_rlvect_1(sK1_skl,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK0_skl))
| r2_hidden(k3_group_1(sK0_skl,X0),k1_funct_1(k1_latsubgr(sK0_skl),sK1_skl)) ),
inference(component_clause,[status(thm)],[f274]) ).
fof(f277,definition,
( sQ15_spl
<=> v4_group_1(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f279,plain,
( sQ15_spl
| ~ v4_group_1(sK0_skl) ),
inference(component_clause,[status(thm)],[f277]) ).
fof(f280,plain,
( ~ sQ8_spl
| ~ sQ7_spl
| ~ sQ4_spl
| ~ sQ15_spl
| ~ sQ3_spl
| sQ2_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f273,f274,f204,f207,f277,f210,f230,f233]) ).
fof(f281,plain,
! [X0] :
( ~ sQ14_spl
| ~ r1_rlvect_1(sK1_skl,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK0_skl))
| r2_hidden(k3_group_1(sK0_skl,X0),k1_funct_1(k1_latsubgr(sK0_skl),sK1_skl)) ),
inference(duplicate_literals_removal,[status(thm)],[f275]) ).
fof(f304,definition,
( sQ21_spl
<=> m1_subset_1(sK2_skl,u1_struct_0(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f306,plain,
( sQ21_spl
| ~ m1_subset_1(sK2_skl,u1_struct_0(sK0_skl)) ),
inference(component_clause,[status(thm)],[f304]) ).
fof(f308,plain,
( sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f279,f61]) ).
fof(f309,plain,
sQ15_spl,
inference(contradiction_clause,[status(thm)],[f308]) ).
fof(f310,plain,
( sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f306,f65]) ).
fof(f311,plain,
sQ21_spl,
inference(contradiction_clause,[status(thm)],[f310]) ).
fof(f314,definition,
( sQ22_spl
<=> r1_rlvect_1(sK1_skl,sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f316,plain,
( sQ22_spl
| ~ r1_rlvect_1(sK1_skl,sK2_skl) ),
inference(component_clause,[status(thm)],[f314]) ).
fof(f327,plain,
! [X0] :
( sQ22_spl
| ~ r2_hidden(sK2_skl,k1_funct_1(k1_latsubgr(X0),sK1_skl))
| ~ m1_subset_1(sK2_skl,u1_struct_0(X0))
| ~ m1_group_2(sK1_skl,X0)
| ~ v1_group_1(sK1_skl)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(resolution,[status(thm)],[f316,f168]) ).
fof(f328,definition,
! [X0] :
( sQ25_spl
<=> ( ~ r2_hidden(sK2_skl,k1_funct_1(k1_latsubgr(X0),sK1_skl))
| ~ m1_subset_1(sK2_skl,u1_struct_0(X0))
| ~ m1_group_2(sK1_skl,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f329,plain,
! [X0] :
( ~ sQ25_spl
| ~ r2_hidden(sK2_skl,k1_funct_1(k1_latsubgr(X0),sK1_skl))
| ~ m1_subset_1(sK2_skl,u1_struct_0(X0))
| ~ m1_group_2(sK1_skl,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(component_clause,[status(thm)],[f328]) ).
fof(f331,plain,
( sQ22_spl
| ~ sQ12_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f327,f328,f258,f314]) ).
fof(f332,plain,
( ~ sQ14_spl
| ~ r1_rlvect_1(sK1_skl,sK2_skl)
| ~ m1_subset_1(sK2_skl,u1_struct_0(sK0_skl)) ),
inference(resolution,[status(thm)],[f281,f67]) ).
fof(f334,plain,
( ~ sQ14_spl
| ~ sQ22_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f332,f304,f314,f274]) ).
fof(f335,plain,
( ~ sQ25_spl
| ~ r2_hidden(sK2_skl,k1_funct_1(k1_latsubgr(sK0_skl),sK1_skl))
| ~ m1_group_2(sK1_skl,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)],[f329,f65]) ).
fof(f336,definition,
( sQ26_spl
<=> r2_hidden(sK2_skl,k1_funct_1(k1_latsubgr(sK0_skl),sK1_skl)) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f338,plain,
( sQ26_spl
| ~ r2_hidden(sK2_skl,k1_funct_1(k1_latsubgr(sK0_skl),sK1_skl)) ),
inference(component_clause,[status(thm)],[f336]) ).
fof(f339,plain,
( ~ sQ25_spl
| ~ sQ26_spl
| ~ sQ7_spl
| ~ sQ4_spl
| ~ sQ15_spl
| ~ sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f335,f204,f207,f277,f210,f230,f336,f328]) ).
fof(f340,plain,
( sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f338,f66]) ).
fof(f341,plain,
sQ26_spl,
inference(contradiction_clause,[status(thm)],[f340]) ).
fof(f342,plain,
$false,
inference(sat_refutation,[status(thm)],[f222,f224,f226,f228,f238,f243,f272,f280,f309,f311,f331,f334,f339,f341]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP644+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n017.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 20:20:42 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.39 % Refutation found
% 0.09/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.43 % Elapsed time: 0.047445 seconds
% 0.09/0.43 % CPU time: 0.169132 seconds
% 0.09/0.43 % Total memory used: 83.976 MB
% 0.09/0.43 % Net memory used: 83.910 MB
%------------------------------------------------------------------------------