%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP642+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 : n015.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 0.14s 5.45s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 17
% Syntax : Number of formulae : 83 ( 15 unt; 10 def)
% Number of atoms : 318 ( 30 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 393 ( 158 ~; 165 |; 46 &)
% ( 12 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 11 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 54 ( 51 !; 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) )
=> k1_funct_1(k1_latsubgr(A),B) != k1_xboole_0 ) ),
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) )
=> k1_funct_1(k1_latsubgr(A),B) != k1_xboole_0 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f9,axiom,
! [A] :
( ( l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( m2_relset_1(B,k1_group_3(A),k1_zfmisc_1(u1_struct_0(A)))
& v1_funct_2(B,k1_group_3(A),k1_zfmisc_1(u1_struct_0(A)))
& v1_funct_1(B) )
=> ( B = k1_latsubgr(A)
<=> ! [C] :
( ( m1_group_2(C,A)
& v1_group_1(C) )
=> k1_funct_1(B,C) = u1_struct_0(C) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [A] :
( ( l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& ~ v3_struct_0(A) )
=> ( m2_relset_1(k1_latsubgr(A),k1_group_3(A),k1_zfmisc_1(u1_struct_0(A)))
& v1_funct_2(k1_latsubgr(A),k1_group_3(A),k1_zfmisc_1(u1_struct_0(A)))
& v1_funct_1(k1_latsubgr(A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [A] :
( l1_group_1(A)
=> l1_struct_0(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,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(f32,axiom,
! [A] :
( ( l1_struct_0(A)
& ~ v3_struct_0(A) )
=> ~ v1_xboole_0(u1_struct_0(A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,axiom,
v1_xboole_0(k1_xboole_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f55,plain,
? [A] :
( ? [B] :
( k1_funct_1(k1_latsubgr(A),B) = k1_xboole_0
& 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(f56,plain,
( k1_funct_1(k1_latsubgr(sK0_skl),sK1_skl) = k1_xboole_0
& 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]),skolemize(A,sK0_skl),skolemize(B,sK1_skl)],[f55]) ).
fof(f57,plain,
~ v3_struct_0(sK0_skl),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f58,plain,
v3_group_1(sK0_skl),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f59,plain,
v4_group_1(sK0_skl),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f60,plain,
l1_group_1(sK0_skl),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f61,plain,
v1_group_1(sK1_skl),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f62,plain,
m1_group_2(sK1_skl,sK0_skl),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f63,plain,
k1_funct_1(k1_latsubgr(sK0_skl),sK1_skl) = k1_xboole_0,
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f84,plain,
! [A] :
( ! [B] :
( ( B = k1_latsubgr(A)
<=> ! [C] :
( k1_funct_1(B,C) = u1_struct_0(C)
| ~ m1_group_2(C,A)
| ~ v1_group_1(C) ) )
| ~ m2_relset_1(B,k1_group_3(A),k1_zfmisc_1(u1_struct_0(A)))
| ~ v1_funct_2(B,k1_group_3(A),k1_zfmisc_1(u1_struct_0(A)))
| ~ v1_funct_1(B) )
| ~ l1_group_1(A)
| ~ v4_group_1(A)
| ~ v3_group_1(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f85,plain,
! [A] :
( ! [B] :
( ( ( ? [C] :
( k1_funct_1(B,C) != u1_struct_0(C)
& m1_group_2(C,A)
& v1_group_1(C) )
| B = k1_latsubgr(A) )
& ( ! [C] :
( k1_funct_1(B,C) = u1_struct_0(C)
| ~ m1_group_2(C,A)
| ~ v1_group_1(C) )
| B != k1_latsubgr(A) ) )
| ~ m2_relset_1(B,k1_group_3(A),k1_zfmisc_1(u1_struct_0(A)))
| ~ v1_funct_2(B,k1_group_3(A),k1_zfmisc_1(u1_struct_0(A)))
| ~ v1_funct_1(B) )
| ~ l1_group_1(A)
| ~ v4_group_1(A)
| ~ v3_group_1(A)
| v3_struct_0(A) ),
inference(NNF_transformation,[status(thm)],[f84]) ).
fof(f86,plain,
! [A] :
( ! [B] :
( ( ( ( k1_funct_1(B,sK2_skl(B,A)) != u1_struct_0(sK2_skl(B,A))
& m1_group_2(sK2_skl(B,A),A)
& v1_group_1(sK2_skl(B,A)) )
| B = k1_latsubgr(A) )
& ( ! [C] :
( k1_funct_1(B,C) = u1_struct_0(C)
| ~ m1_group_2(C,A)
| ~ v1_group_1(C) )
| B != k1_latsubgr(A) ) )
| ~ m2_relset_1(B,k1_group_3(A),k1_zfmisc_1(u1_struct_0(A)))
| ~ v1_funct_2(B,k1_group_3(A),k1_zfmisc_1(u1_struct_0(A)))
| ~ v1_funct_1(B) )
| ~ l1_group_1(A)
| ~ v4_group_1(A)
| ~ v3_group_1(A)
| v3_struct_0(A) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(C,sK2_skl(B,A))],[f85]) ).
fof(f87,plain,
! [X0,X1,X2] :
( k1_funct_1(X1,X2) = u1_struct_0(X2)
| ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2)
| X1 != k1_latsubgr(X0)
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f86]) ).
fof(f94,plain,
! [A] :
( ( m2_relset_1(k1_latsubgr(A),k1_group_3(A),k1_zfmisc_1(u1_struct_0(A)))
& v1_funct_2(k1_latsubgr(A),k1_group_3(A),k1_zfmisc_1(u1_struct_0(A)))
& v1_funct_1(k1_latsubgr(A)) )
| ~ l1_group_1(A)
| ~ v4_group_1(A)
| ~ v3_group_1(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f13]) ).
fof(f95,plain,
! [X0] :
( v1_funct_1(k1_latsubgr(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f94]) ).
fof(f96,plain,
! [X0] :
( v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(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)],[f94]) ).
fof(f97,plain,
! [X0] :
( m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(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)],[f94]) ).
fof(f98,plain,
! [A] :
( l1_struct_0(A)
| ~ l1_group_1(A) ),
inference(pre_NNF_transformation,[status(thm)],[f17]) ).
fof(f99,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[status(thm)],[f98]) ).
fof(f100,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)],[f19]) ).
fof(f101,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)],[f100]) ).
fof(f103,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)],[f100]) ).
fof(f125,plain,
! [A] :
( ~ v1_xboole_0(u1_struct_0(A))
| ~ l1_struct_0(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f32]) ).
fof(f126,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f125]) ).
fof(f128,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f189,plain,
! [X0,X1] :
( k1_funct_1(k1_latsubgr(X0),X1) = u1_struct_0(X1)
| ~ m1_group_2(X1,X0)
| ~ v1_group_1(X1)
| ~ m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(k1_latsubgr(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f87]) ).
fof(f191,plain,
! [X0,X1] :
( k1_funct_1(k1_latsubgr(X0),X1) = u1_struct_0(X1)
| ~ m1_group_2(X1,X0)
| ~ v1_group_1(X1)
| ~ m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f189,f95]) ).
fof(f197,definition,
( sQ0_spl
<=> l1_group_1(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f199,plain,
( sQ0_spl
| ~ l1_group_1(sK1_skl) ),
inference(component_clause,[status(thm)],[f197]) ).
fof(f204,plain,
! [X0] :
( sQ0_spl
| ~ m1_group_2(sK1_skl,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(resolution,[status(thm)],[f199,f103]) ).
fof(f205,plain,
( sQ0_spl
| ~ l1_group_1(sK0_skl)
| ~ v3_group_1(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f204,f62]) ).
fof(f206,definition,
( sQ2_spl
<=> v3_struct_0(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f207,plain,
( ~ sQ2_spl
| v3_struct_0(sK0_skl) ),
inference(component_clause,[status(thm)],[f206]) ).
fof(f209,definition,
( sQ3_spl
<=> v3_group_1(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f211,plain,
( sQ3_spl
| ~ v3_group_1(sK0_skl) ),
inference(component_clause,[status(thm)],[f209]) ).
fof(f212,definition,
( sQ4_spl
<=> l1_group_1(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f214,plain,
( sQ4_spl
| ~ l1_group_1(sK0_skl) ),
inference(component_clause,[status(thm)],[f212]) ).
fof(f215,plain,
( sQ0_spl
| ~ sQ4_spl
| ~ sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f205,f206,f209,f212,f197]) ).
fof(f216,plain,
( sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f214,f60]) ).
fof(f217,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f216]) ).
fof(f218,plain,
( sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f211,f58]) ).
fof(f219,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f218]) ).
fof(f220,plain,
( ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f207,f57]) ).
fof(f221,plain,
~ sQ2_spl,
inference(contradiction_clause,[status(thm)],[f220]) ).
fof(f222,plain,
! [X0,X1] :
( k1_funct_1(k1_latsubgr(X0),X1) = u1_struct_0(X1)
| ~ m1_group_2(X1,X0)
| ~ v1_group_1(X1)
| ~ m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f191,f96]) ).
fof(f245,plain,
! [X0,X1] :
( k1_funct_1(k1_latsubgr(X0),X1) = u1_struct_0(X1)
| ~ 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(forward_subsumption_resolution,[status(thm)],[f222,f97]) ).
fof(f246,plain,
! [X0] :
( k1_funct_1(k1_latsubgr(sK0_skl),X0) = u1_struct_0(X0)
| ~ 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)],[f245,f59]) ).
fof(f247,definition,
! [X0] :
( sQ11_spl
<=> ( k1_funct_1(k1_latsubgr(sK0_skl),X0) = u1_struct_0(X0)
| ~ m1_group_2(X0,sK0_skl)
| ~ v1_group_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f248,plain,
! [X0] :
( ~ sQ11_spl
| k1_funct_1(k1_latsubgr(sK0_skl),X0) = u1_struct_0(X0)
| ~ m1_group_2(X0,sK0_skl)
| ~ v1_group_1(X0) ),
inference(component_clause,[status(thm)],[f247]) ).
fof(f250,plain,
( sQ11_spl
| ~ sQ4_spl
| ~ sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f246,f206,f209,f212,f247]) ).
fof(f251,plain,
( ~ sQ11_spl
| k1_funct_1(k1_latsubgr(sK0_skl),sK1_skl) = u1_struct_0(sK1_skl)
| ~ m1_group_2(sK1_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f248,f61]) ).
fof(f252,definition,
( sQ12_spl
<=> m1_group_2(sK1_skl,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f254,plain,
( sQ12_spl
| ~ m1_group_2(sK1_skl,sK0_skl) ),
inference(component_clause,[status(thm)],[f252]) ).
fof(f255,definition,
( sQ13_spl
<=> k1_funct_1(k1_latsubgr(sK0_skl),sK1_skl) = u1_struct_0(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f256,plain,
( ~ sQ13_spl
| k1_funct_1(k1_latsubgr(sK0_skl),sK1_skl) = u1_struct_0(sK1_skl) ),
inference(component_clause,[status(thm)],[f255]) ).
fof(f258,plain,
( ~ sQ11_spl
| sQ13_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f251,f252,f255,f247]) ).
fof(f259,plain,
( sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f254,f62]) ).
fof(f260,plain,
sQ12_spl,
inference(contradiction_clause,[status(thm)],[f259]) ).
fof(f261,plain,
( ~ sQ13_spl
| k1_xboole_0 = u1_struct_0(sK1_skl) ),
inference(forward_demodulation,[status(thm)],[f63,f256]) ).
fof(f265,definition,
( sQ14_spl
<=> v3_struct_0(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f266,plain,
( ~ sQ14_spl
| v3_struct_0(sK1_skl) ),
inference(component_clause,[status(thm)],[f265]) ).
fof(f284,plain,
! [X0] :
( ~ sQ14_spl
| ~ m1_group_2(sK1_skl,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(resolution,[status(thm)],[f266,f101]) ).
fof(f301,plain,
( ~ sQ14_spl
| ~ l1_group_1(sK0_skl)
| ~ v3_group_1(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f284,f62]) ).
fof(f302,plain,
( ~ sQ14_spl
| ~ sQ4_spl
| ~ sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f301,f206,f209,f212,f265]) ).
fof(f348,plain,
( ~ sQ13_spl
| ~ v1_xboole_0(k1_xboole_0)
| ~ l1_struct_0(sK1_skl)
| v3_struct_0(sK1_skl) ),
inference(paramodulation,[status(thm)],[f261,f126]) ).
fof(f349,definition,
( sQ28_spl
<=> l1_struct_0(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f351,plain,
( sQ28_spl
| ~ l1_struct_0(sK1_skl) ),
inference(component_clause,[status(thm)],[f349]) ).
fof(f352,definition,
( sQ29_spl
<=> v1_xboole_0(k1_xboole_0) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f354,plain,
( sQ29_spl
| ~ v1_xboole_0(k1_xboole_0) ),
inference(component_clause,[status(thm)],[f352]) ).
fof(f355,plain,
( ~ sQ13_spl
| ~ sQ29_spl
| ~ sQ28_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f348,f265,f349,f352,f255]) ).
fof(f356,plain,
( sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f354,f128]) ).
fof(f357,plain,
sQ29_spl,
inference(contradiction_clause,[status(thm)],[f356]) ).
fof(f363,plain,
( sQ28_spl
| ~ l1_group_1(sK1_skl) ),
inference(resolution,[status(thm)],[f351,f99]) ).
fof(f364,plain,
( sQ28_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f363,f197,f349]) ).
fof(f365,plain,
$false,
inference(sat_refutation,[status(thm)],[f215,f217,f219,f221,f250,f258,f260,f302,f355,f357,f364]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP642+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/5.41 % Computer : n015.cluster.edu
% 0.14/5.41 % Model : x86_64 x86_64
% 0.14/5.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/5.41 % Memory : 8046.5625MB
% 0.14/5.41 % OS : Linux 6.8.0-71-generic
% 0.14/5.41 % CPULimit : 300
% 0.14/5.41 % WCLimit : 300
% 0.14/5.41 % DateTime : Sun Sep 20 20:28:41 UTC 2026
% 0.14/5.42 % CPUTime :
% 0.14/5.43 % Drodi V4.1.1
% 0.14/5.45 % Refutation found
% 0.14/5.45 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/5.45 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/5.48 % Elapsed time: 0.051883 seconds
% 0.14/5.48 % CPU time: 0.162573 seconds
% 0.14/5.48 % Total memory used: 98.808 MB
% 0.14/5.48 % Net memory used: 98.751 MB
%------------------------------------------------------------------------------