%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP644+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n002.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 20.75s 5.18s
% Output : CNFRefutation 20.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 23
% Syntax : Number of formulae : 96 ( 16 unt; 15 def)
% Number of atoms : 461 ( 0 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 605 ( 240 ~; 265 |; 58 &)
% ( 17 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 25 ( 24 usr; 16 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 73 ( 70 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7471,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/sandbox/benchmark/theBenchmark.p') ).
fof(f8697,axiom,
! [A] :
( ( l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_group_2(B,A)
=> v4_group_1(B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8762,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/sandbox/benchmark/theBenchmark.p') ).
fof(f8765,axiom,
! [A] :
( ( l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& ~ v3_struct_0(A) )
=> m1_group_2(A,A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8767,axiom,
! [A] :
( ( l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_group_1(B)
& v4_group_1(B)
& v3_group_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( ( l1_group_1(C)
& v4_group_1(C)
& v3_group_1(C)
& ~ v3_struct_0(C) )
=> ( ( m1_group_2(B,C)
& m1_group_2(A,B) )
=> m1_group_2(A,C) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8898,axiom,
! [A] :
( ( l1_group_1(A)
& v3_group_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_group_2(B,A)
=> ( l1_group_1(B)
& v3_group_1(B)
& ~ v3_struct_0(B) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13982,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(f13986,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/sandbox/benchmark/theBenchmark.p') ).
fof(f13987,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)],[f13986]) ).
fof(f36621,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)],[f7471]) ).
fof(f36622,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)],[f36621]) ).
fof(f40185,plain,
! [A] :
( ! [B] :
( v4_group_1(B)
| ~ m1_group_2(B,A) )
| ~ l1_group_1(A)
| ~ v4_group_1(A)
| ~ v3_group_1(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f8697]) ).
fof(f40186,plain,
! [X0,X1] :
( v4_group_1(X1)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f40185]) ).
fof(f40356,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)],[f8762]) ).
fof(f40357,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)],[f40356]) ).
fof(f40368,plain,
! [A] :
( m1_group_2(A,A)
| ~ l1_group_1(A)
| ~ v4_group_1(A)
| ~ v3_group_1(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f8765]) ).
fof(f40369,plain,
! [X0] :
( m1_group_2(X0,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f40368]) ).
fof(f40372,plain,
! [A] :
( ! [B] :
( ! [C] :
( m1_group_2(A,C)
| ~ m1_group_2(B,C)
| ~ m1_group_2(A,B)
| ~ l1_group_1(C)
| ~ v4_group_1(C)
| ~ v3_group_1(C)
| v3_struct_0(C) )
| ~ l1_group_1(B)
| ~ v4_group_1(B)
| ~ v3_group_1(B)
| v3_struct_0(B) )
| ~ l1_group_1(A)
| ~ v4_group_1(A)
| ~ v3_group_1(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f8767]) ).
fof(f40373,plain,
! [X0,X1,X2] :
( m1_group_2(X0,X2)
| ~ m1_group_2(X1,X2)
| ~ m1_group_2(X0,X1)
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f40372]) ).
fof(f40733,plain,
! [A] :
( ! [B] :
( ( l1_group_1(B)
& v3_group_1(B)
& ~ v3_struct_0(B) )
| ~ m1_group_2(B,A) )
| ~ l1_group_1(A)
| ~ v3_group_1(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f8898]) ).
fof(f40734,plain,
! [X0,X1] :
( ~ v3_struct_0(X1)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f40733]) ).
fof(f40735,plain,
! [X0,X1] :
( v3_group_1(X1)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f40733]) ).
fof(f40736,plain,
! [X0,X1] :
( l1_group_1(X1)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f40733]) ).
fof(f59575,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)],[f13982]) ).
fof(f59576,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)],[f59575]) ).
fof(f59577,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)],[f59576]) ).
fof(f59578,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)],[f59576]) ).
fof(f59585,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)],[f13987]) ).
fof(f59586,plain,
( ~ r2_hidden(k3_group_1(sK4179_skl,sK4181_skl),k1_funct_1(k1_latsubgr(sK4179_skl),sK4180_skl))
& r2_hidden(sK4181_skl,k1_funct_1(k1_latsubgr(sK4179_skl),sK4180_skl))
& m1_subset_1(sK4181_skl,u1_struct_0(sK4179_skl))
& m1_group_2(sK4180_skl,sK4179_skl)
& v1_group_1(sK4180_skl)
& l1_group_1(sK4179_skl)
& v4_group_1(sK4179_skl)
& v3_group_1(sK4179_skl)
& ~ v3_struct_0(sK4179_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4179_skl,sK4180_skl,sK4181_skl]),skolemize(A,sK4179_skl),skolemize(B,sK4180_skl),skolemize(C,sK4181_skl)],[f59585]) ).
fof(f59587,plain,
~ v3_struct_0(sK4179_skl),
inference(cnf_transformation,[status(thm)],[f59586]) ).
fof(f59588,plain,
v3_group_1(sK4179_skl),
inference(cnf_transformation,[status(thm)],[f59586]) ).
fof(f59589,plain,
v4_group_1(sK4179_skl),
inference(cnf_transformation,[status(thm)],[f59586]) ).
fof(f59590,plain,
l1_group_1(sK4179_skl),
inference(cnf_transformation,[status(thm)],[f59586]) ).
fof(f59591,plain,
v1_group_1(sK4180_skl),
inference(cnf_transformation,[status(thm)],[f59586]) ).
fof(f59592,plain,
m1_group_2(sK4180_skl,sK4179_skl),
inference(cnf_transformation,[status(thm)],[f59586]) ).
fof(f59593,plain,
m1_subset_1(sK4181_skl,u1_struct_0(sK4179_skl)),
inference(cnf_transformation,[status(thm)],[f59586]) ).
fof(f59594,plain,
r2_hidden(sK4181_skl,k1_funct_1(k1_latsubgr(sK4179_skl),sK4180_skl)),
inference(cnf_transformation,[status(thm)],[f59586]) ).
fof(f59595,plain,
~ r2_hidden(k3_group_1(sK4179_skl,sK4181_skl),k1_funct_1(k1_latsubgr(sK4179_skl),sK4180_skl)),
inference(cnf_transformation,[status(thm)],[f59586]) ).
fof(f70863,plain,
( ~ v3_struct_0(sK4180_skl)
| ~ l1_group_1(sK4179_skl)
| ~ v3_group_1(sK4179_skl)
| v3_struct_0(sK4179_skl) ),
inference(resolution,[status(thm)],[f40734,f59592]) ).
fof(f70865,definition,
( sQ1249_spl
<=> v3_struct_0(sK4179_skl) ),
introduced(definition,[new_symbols(definition,[sQ1249_spl])],[split_symbol_definition]) ).
fof(f70866,plain,
( ~ sQ1249_spl
| v3_struct_0(sK4179_skl) ),
inference(component_clause,[status(thm)],[f70865]) ).
fof(f70868,definition,
( sQ1250_spl
<=> v3_group_1(sK4179_skl) ),
introduced(definition,[new_symbols(definition,[sQ1250_spl])],[split_symbol_definition]) ).
fof(f70870,plain,
( sQ1250_spl
| ~ v3_group_1(sK4179_skl) ),
inference(component_clause,[status(thm)],[f70868]) ).
fof(f70871,definition,
( sQ1251_spl
<=> l1_group_1(sK4179_skl) ),
introduced(definition,[new_symbols(definition,[sQ1251_spl])],[split_symbol_definition]) ).
fof(f70873,plain,
( sQ1251_spl
| ~ l1_group_1(sK4179_skl) ),
inference(component_clause,[status(thm)],[f70871]) ).
fof(f70874,definition,
( sQ1252_spl
<=> v3_struct_0(sK4180_skl) ),
introduced(definition,[new_symbols(definition,[sQ1252_spl])],[split_symbol_definition]) ).
fof(f70877,plain,
( ~ sQ1252_spl
| ~ sQ1251_spl
| ~ sQ1250_spl
| sQ1249_spl ),
inference(split_clause,[status(thm)],[f70863,f70865,f70868,f70871,f70874]) ).
fof(f70878,plain,
( sQ1251_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f70873,f59590]) ).
fof(f70879,plain,
sQ1251_spl,
inference(contradiction_clause,[status(thm)],[f70878]) ).
fof(f70880,plain,
( sQ1250_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f70870,f59588]) ).
fof(f70881,plain,
sQ1250_spl,
inference(contradiction_clause,[status(thm)],[f70880]) ).
fof(f70882,plain,
( ~ sQ1249_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f70866,f59587]) ).
fof(f70883,plain,
~ sQ1249_spl,
inference(contradiction_clause,[status(thm)],[f70882]) ).
fof(f70884,plain,
( v3_group_1(sK4180_skl)
| ~ l1_group_1(sK4179_skl)
| ~ v3_group_1(sK4179_skl)
| v3_struct_0(sK4179_skl) ),
inference(resolution,[status(thm)],[f40735,f59592]) ).
fof(f70886,definition,
( sQ1253_spl
<=> v3_group_1(sK4180_skl) ),
introduced(definition,[new_symbols(definition,[sQ1253_spl])],[split_symbol_definition]) ).
fof(f70889,plain,
( sQ1253_spl
| ~ sQ1251_spl
| ~ sQ1250_spl
| sQ1249_spl ),
inference(split_clause,[status(thm)],[f70884,f70865,f70868,f70871,f70886]) ).
fof(f70890,plain,
( l1_group_1(sK4180_skl)
| ~ l1_group_1(sK4179_skl)
| ~ v3_group_1(sK4179_skl)
| v3_struct_0(sK4179_skl) ),
inference(resolution,[status(thm)],[f40736,f59592]) ).
fof(f70892,definition,
( sQ1254_spl
<=> l1_group_1(sK4180_skl) ),
introduced(definition,[new_symbols(definition,[sQ1254_spl])],[split_symbol_definition]) ).
fof(f70895,plain,
( sQ1254_spl
| ~ sQ1251_spl
| ~ sQ1250_spl
| sQ1249_spl ),
inference(split_clause,[status(thm)],[f70890,f70865,f70868,f70871,f70892]) ).
fof(f72196,plain,
( v4_group_1(sK4180_skl)
| ~ l1_group_1(sK4179_skl)
| ~ v4_group_1(sK4179_skl)
| ~ v3_group_1(sK4179_skl)
| v3_struct_0(sK4179_skl) ),
inference(resolution,[status(thm)],[f40186,f59592]) ).
fof(f72198,definition,
( sQ1263_spl
<=> v4_group_1(sK4179_skl) ),
introduced(definition,[new_symbols(definition,[sQ1263_spl])],[split_symbol_definition]) ).
fof(f72200,plain,
( sQ1263_spl
| ~ v4_group_1(sK4179_skl) ),
inference(component_clause,[status(thm)],[f72198]) ).
fof(f72201,definition,
( sQ1264_spl
<=> v4_group_1(sK4180_skl) ),
introduced(definition,[new_symbols(definition,[sQ1264_spl])],[split_symbol_definition]) ).
fof(f72204,plain,
( sQ1264_spl
| ~ sQ1251_spl
| ~ sQ1263_spl
| ~ sQ1250_spl
| sQ1249_spl ),
inference(split_clause,[status(thm)],[f72196,f70865,f70868,f72198,f70871,f72201]) ).
fof(f72205,plain,
( sQ1263_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f72200,f59589]) ).
fof(f72206,plain,
sQ1263_spl,
inference(contradiction_clause,[status(thm)],[f72205]) ).
fof(f72586,plain,
! [X0,X1,X2] :
( m1_group_2(X0,X2)
| ~ m1_group_2(X1,X2)
| ~ m1_group_2(X0,X1)
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f40373,f40734]) ).
fof(f72587,plain,
! [X0] :
( m1_group_2(X0,sK4179_skl)
| ~ m1_group_2(X0,sK4180_skl)
| ~ l1_group_1(sK4179_skl)
| ~ v4_group_1(sK4179_skl)
| ~ v3_group_1(sK4179_skl)
| v3_struct_0(sK4179_skl)
| ~ l1_group_1(sK4180_skl)
| ~ v4_group_1(sK4180_skl)
| ~ v3_group_1(sK4180_skl)
| v3_struct_0(sK4180_skl)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0) ),
inference(resolution,[status(thm)],[f72586,f59592]) ).
fof(f72589,definition,
! [X0] :
( sQ1265_spl
<=> ( m1_group_2(X0,sK4179_skl)
| ~ m1_group_2(X0,sK4180_skl)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1265_spl])],[split_symbol_definition]) ).
fof(f72590,plain,
! [X0] :
( ~ sQ1265_spl
| m1_group_2(X0,sK4179_skl)
| ~ m1_group_2(X0,sK4180_skl)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0) ),
inference(component_clause,[status(thm)],[f72589]) ).
fof(f72592,plain,
( ~ sQ1251_spl
| ~ sQ1263_spl
| ~ sQ1250_spl
| sQ1249_spl
| ~ sQ1254_spl
| ~ sQ1264_spl
| ~ sQ1253_spl
| sQ1252_spl
| sQ1265_spl ),
inference(split_clause,[status(thm)],[f72587,f72589,f70874,f70886,f72201,f70892,f70865,f70868,f72198,f70871]) ).
fof(f72712,plain,
( ~ sQ1265_spl
| ~ l1_group_1(sK4180_skl)
| ~ v4_group_1(sK4180_skl)
| ~ v3_group_1(sK4180_skl)
| v3_struct_0(sK4180_skl)
| m1_group_2(sK4180_skl,sK4179_skl)
| ~ l1_group_1(sK4180_skl)
| ~ v4_group_1(sK4180_skl)
| ~ v3_group_1(sK4180_skl) ),
inference(resolution,[status(thm)],[f72590,f40369]) ).
fof(f72713,definition,
( sQ1266_spl
<=> m1_group_2(sK4180_skl,sK4179_skl) ),
introduced(definition,[new_symbols(definition,[sQ1266_spl])],[split_symbol_definition]) ).
fof(f72716,plain,
( ~ sQ1265_spl
| sQ1252_spl
| sQ1266_spl
| ~ sQ1254_spl
| ~ sQ1264_spl
| ~ sQ1253_spl ),
inference(split_clause,[status(thm)],[f72712,f70886,f72201,f70892,f72713,f70874,f72589]) ).
fof(f73940,plain,
( r1_rlvect_1(sK4180_skl,sK4181_skl)
| ~ m1_subset_1(sK4181_skl,u1_struct_0(sK4179_skl))
| ~ m1_group_2(sK4180_skl,sK4179_skl)
| ~ v1_group_1(sK4180_skl)
| ~ l1_group_1(sK4179_skl)
| ~ v4_group_1(sK4179_skl)
| ~ v3_group_1(sK4179_skl)
| v3_struct_0(sK4179_skl) ),
inference(resolution,[status(thm)],[f59577,f59594]) ).
fof(f73941,definition,
( sQ1275_spl
<=> v1_group_1(sK4180_skl) ),
introduced(definition,[new_symbols(definition,[sQ1275_spl])],[split_symbol_definition]) ).
fof(f73943,plain,
( sQ1275_spl
| ~ v1_group_1(sK4180_skl) ),
inference(component_clause,[status(thm)],[f73941]) ).
fof(f73944,definition,
( sQ1276_spl
<=> m1_subset_1(sK4181_skl,u1_struct_0(sK4179_skl)) ),
introduced(definition,[new_symbols(definition,[sQ1276_spl])],[split_symbol_definition]) ).
fof(f73946,plain,
( sQ1276_spl
| ~ m1_subset_1(sK4181_skl,u1_struct_0(sK4179_skl)) ),
inference(component_clause,[status(thm)],[f73944]) ).
fof(f73947,definition,
( sQ1277_spl
<=> r1_rlvect_1(sK4180_skl,sK4181_skl) ),
introduced(definition,[new_symbols(definition,[sQ1277_spl])],[split_symbol_definition]) ).
fof(f73950,plain,
( sQ1277_spl
| ~ sQ1276_spl
| ~ sQ1266_spl
| ~ sQ1275_spl
| ~ sQ1251_spl
| ~ sQ1263_spl
| ~ sQ1250_spl
| sQ1249_spl ),
inference(split_clause,[status(thm)],[f73940,f70865,f70868,f72198,f70871,f73941,f72713,f73944,f73947]) ).
fof(f73951,plain,
( sQ1276_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f73946,f59593]) ).
fof(f73952,plain,
sQ1276_spl,
inference(contradiction_clause,[status(thm)],[f73951]) ).
fof(f73953,plain,
( sQ1275_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f73943,f59591]) ).
fof(f73954,plain,
sQ1275_spl,
inference(contradiction_clause,[status(thm)],[f73953]) ).
fof(f74114,plain,
( ~ r1_rlvect_1(sK4180_skl,k3_group_1(sK4179_skl,sK4181_skl))
| ~ m1_subset_1(k3_group_1(sK4179_skl,sK4181_skl),u1_struct_0(sK4179_skl))
| ~ m1_group_2(sK4180_skl,sK4179_skl)
| ~ v1_group_1(sK4180_skl)
| ~ l1_group_1(sK4179_skl)
| ~ v4_group_1(sK4179_skl)
| ~ v3_group_1(sK4179_skl)
| v3_struct_0(sK4179_skl) ),
inference(resolution,[status(thm)],[f59578,f59595]) ).
fof(f74156,definition,
( sQ1278_spl
<=> m1_subset_1(k3_group_1(sK4179_skl,sK4181_skl),u1_struct_0(sK4179_skl)) ),
introduced(definition,[new_symbols(definition,[sQ1278_spl])],[split_symbol_definition]) ).
fof(f74158,plain,
( sQ1278_spl
| ~ m1_subset_1(k3_group_1(sK4179_skl,sK4181_skl),u1_struct_0(sK4179_skl)) ),
inference(component_clause,[status(thm)],[f74156]) ).
fof(f74159,definition,
( sQ1279_spl
<=> r1_rlvect_1(sK4180_skl,k3_group_1(sK4179_skl,sK4181_skl)) ),
introduced(definition,[new_symbols(definition,[sQ1279_spl])],[split_symbol_definition]) ).
fof(f74161,plain,
( sQ1279_spl
| ~ r1_rlvect_1(sK4180_skl,k3_group_1(sK4179_skl,sK4181_skl)) ),
inference(component_clause,[status(thm)],[f74159]) ).
fof(f74162,plain,
( ~ sQ1279_spl
| ~ sQ1278_spl
| ~ sQ1266_spl
| ~ sQ1275_spl
| ~ sQ1251_spl
| ~ sQ1263_spl
| ~ sQ1250_spl
| sQ1249_spl ),
inference(split_clause,[status(thm)],[f74114,f70865,f70868,f72198,f70871,f73941,f72713,f74156,f74159]) ).
fof(f74403,plain,
( sQ1279_spl
| ~ r1_rlvect_1(sK4180_skl,sK4181_skl)
| ~ m1_group_2(sK4180_skl,sK4179_skl)
| ~ m1_subset_1(sK4181_skl,u1_struct_0(sK4179_skl))
| ~ l1_group_1(sK4179_skl)
| ~ v4_group_1(sK4179_skl)
| ~ v3_group_1(sK4179_skl)
| v3_struct_0(sK4179_skl) ),
inference(resolution,[status(thm)],[f74161,f40357]) ).
fof(f74404,plain,
( sQ1279_spl
| ~ sQ1277_spl
| ~ sQ1266_spl
| ~ sQ1276_spl
| ~ sQ1251_spl
| ~ sQ1263_spl
| ~ sQ1250_spl
| sQ1249_spl ),
inference(split_clause,[status(thm)],[f74403,f70865,f70868,f72198,f70871,f73944,f72713,f73947,f74159]) ).
fof(f74405,plain,
( sQ1278_spl
| ~ m1_subset_1(sK4181_skl,u1_struct_0(sK4179_skl))
| ~ l1_group_1(sK4179_skl)
| ~ v4_group_1(sK4179_skl)
| ~ v3_group_1(sK4179_skl)
| v3_struct_0(sK4179_skl) ),
inference(resolution,[status(thm)],[f74158,f36622]) ).
fof(f74406,plain,
( sQ1278_spl
| ~ sQ1276_spl
| ~ sQ1251_spl
| ~ sQ1263_spl
| ~ sQ1250_spl
| sQ1249_spl ),
inference(split_clause,[status(thm)],[f74405,f70865,f70868,f72198,f70871,f73944,f74156]) ).
fof(f74407,plain,
$false,
inference(sat_refutation,[status(thm)],[f70877,f70879,f70881,f70883,f70889,f70895,f72204,f72206,f72592,f72716,f73950,f73952,f73954,f74162,f74404,f74406]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GRP644+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.66 % Computer : n002.cluster.edu
% 0.16/0.66 % Model : x86_64 x86_64
% 0.16/0.66 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.66 % Memory : 8046.5625MB
% 0.16/0.66 % OS : Linux 6.8.0-71-generic
% 0.16/0.66 % CPULimit : 300
% 0.16/0.66 % WCLimit : 300
% 0.16/0.66 % DateTime : Sun Sep 20 20:28:37 UTC 2026
% 0.16/0.67 % CPUTime :
% 2.22/2.73 % Drodi V4.1.1
% 20.75/5.18 % Refutation found
% 20.75/5.18 % SZS status Theorem for theBenchmark: Theorem is valid
% 20.75/5.18 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.91/5.45 % Elapsed time: 4.742581 seconds
% 2.91/5.45 % CPU time: 21.707691 seconds
% 2.91/5.45 % Total memory used: 3.981 GB
% 2.91/5.45 % Net memory used: 3.942 GB
%------------------------------------------------------------------------------