%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : TOP024+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 : 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 03:53:24 PM UTC 2026
% Result : Theorem 0.16s 0.43s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 20
% Syntax : Number of formulae : 94 ( 13 unt; 11 def)
% Number of atoms : 284 ( 43 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 321 ( 131 ~; 128 |; 27 &)
% ( 15 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 12 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 59 ( 57 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [A] :
( ( l1_pre_topc(A)
& v2_pre_topc(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
=> ( v1_tsp_2(B,A)
=> v1_tops_1(B,A) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ! [A] :
( ( l1_pre_topc(A)
& v2_pre_topc(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
=> ( v1_tsp_2(B,A)
=> v1_tops_1(B,A) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f25,axiom,
! [A] :
( l1_pre_topc(A)
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
=> ( v1_tops_1(B,A)
<=> k6_pre_topc(A,B) = u1_struct_0(A) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
! [A] :
( ( l1_pre_topc(A)
& v2_pre_topc(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
=> ( v1_tsp_2(B,A)
<=> ( k3_tex_4(A,B) = u1_struct_0(A)
& v1_tsp_1(B,A) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,axiom,
! [A] :
( l1_struct_0(A)
=> m1_subset_1(k2_pre_topc(A),k1_zfmisc_1(u1_struct_0(A))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,axiom,
! [A] :
( l1_pre_topc(A)
=> l1_struct_0(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f43,axiom,
! [A] :
( ( l1_pre_topc(A)
& v2_pre_topc(A) )
=> v4_pre_topc(k2_pre_topc(A),A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f46,axiom,
! [A] :
( l1_pre_topc(A)
=> v1_tops_1(k2_pre_topc(A),A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f65,axiom,
! [A] :
( l1_pre_topc(A)
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
=> ( ( ( k6_pre_topc(A,B) = B
& v2_pre_topc(A) )
=> v4_pre_topc(B,A) )
& ( v4_pre_topc(B,A)
=> k6_pre_topc(A,B) = B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f67,axiom,
! [A] :
( ( l1_pre_topc(A)
& v2_pre_topc(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
=> k6_pre_topc(A,k3_tex_4(A,B)) = k6_pre_topc(A,B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f71,plain,
? [A] :
( ? [B] :
( ~ v1_tops_1(B,A)
& v1_tsp_2(B,A)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
& l1_pre_topc(A)
& v2_pre_topc(A)
& ~ v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f72,plain,
( ~ v1_tops_1(sK1_skl,sK0_skl)
& v1_tsp_2(sK1_skl,sK0_skl)
& m1_subset_1(sK1_skl,k1_zfmisc_1(u1_struct_0(sK0_skl)))
& l1_pre_topc(sK0_skl)
& v2_pre_topc(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)],[f71]) ).
fof(f73,plain,
~ v3_struct_0(sK0_skl),
inference(cnf_transformation,[status(thm)],[f72]) ).
fof(f74,plain,
v2_pre_topc(sK0_skl),
inference(cnf_transformation,[status(thm)],[f72]) ).
fof(f75,plain,
l1_pre_topc(sK0_skl),
inference(cnf_transformation,[status(thm)],[f72]) ).
fof(f76,plain,
m1_subset_1(sK1_skl,k1_zfmisc_1(u1_struct_0(sK0_skl))),
inference(cnf_transformation,[status(thm)],[f72]) ).
fof(f77,plain,
v1_tsp_2(sK1_skl,sK0_skl),
inference(cnf_transformation,[status(thm)],[f72]) ).
fof(f78,plain,
~ v1_tops_1(sK1_skl,sK0_skl),
inference(cnf_transformation,[status(thm)],[f72]) ).
fof(f158,plain,
! [A] :
( ! [B] :
( ( v1_tops_1(B,A)
<=> k6_pre_topc(A,B) = u1_struct_0(A) )
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
| ~ l1_pre_topc(A) ),
inference(pre_NNF_transformation,[status(thm)],[f25]) ).
fof(f159,plain,
! [A] :
( ! [B] :
( ( ( k6_pre_topc(A,B) != u1_struct_0(A)
| v1_tops_1(B,A) )
& ( k6_pre_topc(A,B) = u1_struct_0(A)
| ~ v1_tops_1(B,A) ) )
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
| ~ l1_pre_topc(A) ),
inference(NNF_transformation,[status(thm)],[f158]) ).
fof(f160,plain,
! [X0,X1] :
( k6_pre_topc(X0,X1) = u1_struct_0(X0)
| ~ v1_tops_1(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[status(thm)],[f159]) ).
fof(f161,plain,
! [X0,X1] :
( k6_pre_topc(X0,X1) != u1_struct_0(X0)
| v1_tops_1(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[status(thm)],[f159]) ).
fof(f162,plain,
! [A] :
( ! [B] :
( ( v1_tsp_2(B,A)
<=> ( k3_tex_4(A,B) = u1_struct_0(A)
& v1_tsp_1(B,A) ) )
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
| ~ l1_pre_topc(A)
| ~ v2_pre_topc(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f26]) ).
fof(f163,plain,
! [A] :
( ! [B] :
( ( ( k3_tex_4(A,B) != u1_struct_0(A)
| ~ v1_tsp_1(B,A)
| v1_tsp_2(B,A) )
& ( ( k3_tex_4(A,B) = u1_struct_0(A)
& v1_tsp_1(B,A) )
| ~ v1_tsp_2(B,A) ) )
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
| ~ l1_pre_topc(A)
| ~ v2_pre_topc(A)
| v3_struct_0(A) ),
inference(NNF_transformation,[status(thm)],[f162]) ).
fof(f165,plain,
! [X0,X1] :
( k3_tex_4(X0,X1) = u1_struct_0(X0)
| ~ v1_tsp_2(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f163]) ).
fof(f167,plain,
! [A] :
( m1_subset_1(k2_pre_topc(A),k1_zfmisc_1(u1_struct_0(A)))
| ~ l1_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f29]) ).
fof(f168,plain,
! [X0] :
( m1_subset_1(k2_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f167]) ).
fof(f173,plain,
! [A] :
( l1_struct_0(A)
| ~ l1_pre_topc(A) ),
inference(pre_NNF_transformation,[status(thm)],[f32]) ).
fof(f174,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[status(thm)],[f173]) ).
fof(f188,plain,
! [A] :
( v4_pre_topc(k2_pre_topc(A),A)
| ~ l1_pre_topc(A)
| ~ v2_pre_topc(A) ),
inference(pre_NNF_transformation,[status(thm)],[f43]) ).
fof(f189,plain,
! [X0] :
( v4_pre_topc(k2_pre_topc(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[status(thm)],[f188]) ).
fof(f199,plain,
! [A] :
( v1_tops_1(k2_pre_topc(A),A)
| ~ l1_pre_topc(A) ),
inference(pre_NNF_transformation,[status(thm)],[f46]) ).
fof(f200,plain,
! [X0] :
( v1_tops_1(k2_pre_topc(X0),X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[status(thm)],[f199]) ).
fof(f284,plain,
! [A] :
( ! [B] :
( ( ( v4_pre_topc(B,A)
| k6_pre_topc(A,B) != B
| ~ v2_pre_topc(A) )
& ( k6_pre_topc(A,B) = B
| ~ v4_pre_topc(B,A) ) )
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
| ~ l1_pre_topc(A) ),
inference(pre_NNF_transformation,[status(thm)],[f65]) ).
fof(f285,plain,
! [X0,X1] :
( k6_pre_topc(X0,X1) = X1
| ~ v4_pre_topc(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[status(thm)],[f284]) ).
fof(f290,plain,
! [A] :
( ! [B] :
( k6_pre_topc(A,k3_tex_4(A,B)) = k6_pre_topc(A,B)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
| ~ l1_pre_topc(A)
| ~ v2_pre_topc(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f67]) ).
fof(f291,plain,
! [X0,X1] :
( k6_pre_topc(X0,k3_tex_4(X0,X1)) = k6_pre_topc(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f290]) ).
fof(f300,plain,
! [X0] :
( k3_tex_4(sK0_skl,X0) = u1_struct_0(sK0_skl)
| ~ v1_tsp_2(X0,sK0_skl)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0_skl)))
| ~ l1_pre_topc(sK0_skl)
| ~ v2_pre_topc(sK0_skl) ),
inference(resolution,[status(thm)],[f165,f73]) ).
fof(f301,definition,
( sQ0_spl
<=> v2_pre_topc(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f303,plain,
( sQ0_spl
| ~ v2_pre_topc(sK0_skl) ),
inference(component_clause,[status(thm)],[f301]) ).
fof(f304,definition,
( sQ1_spl
<=> l1_pre_topc(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f306,plain,
( sQ1_spl
| ~ l1_pre_topc(sK0_skl) ),
inference(component_clause,[status(thm)],[f304]) ).
fof(f307,definition,
! [X0] :
( sQ2_spl
<=> ( k3_tex_4(sK0_skl,X0) = u1_struct_0(sK0_skl)
| ~ v1_tsp_2(X0,sK0_skl)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f308,plain,
! [X0] :
( ~ sQ2_spl
| k3_tex_4(sK0_skl,X0) = u1_struct_0(sK0_skl)
| ~ v1_tsp_2(X0,sK0_skl)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0_skl))) ),
inference(component_clause,[status(thm)],[f307]) ).
fof(f310,plain,
( sQ2_spl
| ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f300,f301,f304,f307]) ).
fof(f311,plain,
( ~ sQ2_spl
| k3_tex_4(sK0_skl,sK1_skl) = u1_struct_0(sK0_skl)
| ~ m1_subset_1(sK1_skl,k1_zfmisc_1(u1_struct_0(sK0_skl))) ),
inference(resolution,[status(thm)],[f308,f77]) ).
fof(f312,definition,
( sQ3_spl
<=> m1_subset_1(sK1_skl,k1_zfmisc_1(u1_struct_0(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f314,plain,
( sQ3_spl
| ~ m1_subset_1(sK1_skl,k1_zfmisc_1(u1_struct_0(sK0_skl))) ),
inference(component_clause,[status(thm)],[f312]) ).
fof(f315,definition,
( sQ4_spl
<=> k3_tex_4(sK0_skl,sK1_skl) = u1_struct_0(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f316,plain,
( ~ sQ4_spl
| k3_tex_4(sK0_skl,sK1_skl) = u1_struct_0(sK0_skl) ),
inference(component_clause,[status(thm)],[f315]) ).
fof(f318,plain,
( ~ sQ2_spl
| sQ4_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f311,f312,f315,f307]) ).
fof(f319,plain,
( sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f314,f76]) ).
fof(f320,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f319]) ).
fof(f321,plain,
( sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f306,f75]) ).
fof(f322,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f321]) ).
fof(f323,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f303,f74]) ).
fof(f324,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f323]) ).
fof(f327,plain,
! [X0] :
( k6_pre_topc(X0,k2_pre_topc(X0)) = u1_struct_0(X0)
| ~ m1_subset_1(k2_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(resolution,[status(thm)],[f200,f160]) ).
fof(f328,plain,
! [X0] :
( k6_pre_topc(X0,k2_pre_topc(X0)) = u1_struct_0(X0)
| ~ m1_subset_1(k2_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f327]) ).
fof(f354,definition,
( sQ10_spl
<=> v3_struct_0(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f355,plain,
( ~ sQ10_spl
| v3_struct_0(sK0_skl) ),
inference(component_clause,[status(thm)],[f354]) ).
fof(f361,plain,
( ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f355,f73]) ).
fof(f362,plain,
~ sQ10_spl,
inference(contradiction_clause,[status(thm)],[f361]) ).
fof(f368,plain,
! [X0] :
( k6_pre_topc(X0,k2_pre_topc(X0)) = u1_struct_0(X0)
| ~ l1_pre_topc(X0)
| ~ l1_struct_0(X0) ),
inference(resolution,[status(thm)],[f168,f328]) ).
fof(f369,plain,
! [X0] :
( k6_pre_topc(X0,k2_pre_topc(X0)) = u1_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f368,f174]) ).
fof(f371,plain,
k6_pre_topc(sK0_skl,k2_pre_topc(sK0_skl)) = u1_struct_0(sK0_skl),
inference(resolution,[status(thm)],[f369,f75]) ).
fof(f383,definition,
( sQ14_spl
<=> m1_subset_1(k2_pre_topc(sK0_skl),k1_zfmisc_1(u1_struct_0(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f385,plain,
( sQ14_spl
| ~ m1_subset_1(k2_pre_topc(sK0_skl),k1_zfmisc_1(u1_struct_0(sK0_skl))) ),
inference(component_clause,[status(thm)],[f383]) ).
fof(f399,plain,
( sQ14_spl
| ~ l1_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f385,f168]) ).
fof(f400,plain,
( sQ14_spl
| ~ l1_pre_topc(sK0_skl) ),
inference(resolution,[status(thm)],[f399,f174]) ).
fof(f401,plain,
( sQ14_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f400,f304,f383]) ).
fof(f770,plain,
! [X0] :
( k6_pre_topc(sK0_skl,X0) = X0
| ~ v4_pre_topc(X0,sK0_skl)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0_skl))) ),
inference(resolution,[status(thm)],[f285,f75]) ).
fof(f772,plain,
! [X0] :
( k6_pre_topc(sK0_skl,k3_tex_4(sK0_skl,X0)) = k6_pre_topc(sK0_skl,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0_skl)))
| ~ l1_pre_topc(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f291,f74]) ).
fof(f773,definition,
! [X0] :
( sQ66_spl
<=> ( k6_pre_topc(sK0_skl,k3_tex_4(sK0_skl,X0)) = k6_pre_topc(sK0_skl,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f774,plain,
! [X0] :
( ~ sQ66_spl
| k6_pre_topc(sK0_skl,k3_tex_4(sK0_skl,X0)) = k6_pre_topc(sK0_skl,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0_skl))) ),
inference(component_clause,[status(thm)],[f773]) ).
fof(f776,plain,
( sQ66_spl
| ~ sQ1_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f772,f354,f304,f773]) ).
fof(f793,plain,
( ~ l1_pre_topc(sK0_skl)
| ~ v2_pre_topc(sK0_skl)
| k6_pre_topc(sK0_skl,k2_pre_topc(sK0_skl)) = k2_pre_topc(sK0_skl)
| ~ m1_subset_1(k2_pre_topc(sK0_skl),k1_zfmisc_1(u1_struct_0(sK0_skl))) ),
inference(resolution,[status(thm)],[f770,f189]) ).
fof(f832,definition,
( sQ77_spl
<=> k6_pre_topc(sK0_skl,k2_pre_topc(sK0_skl)) = k2_pre_topc(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f833,plain,
( ~ sQ77_spl
| k6_pre_topc(sK0_skl,k2_pre_topc(sK0_skl)) = k2_pre_topc(sK0_skl) ),
inference(component_clause,[status(thm)],[f832]) ).
fof(f835,plain,
( ~ sQ1_spl
| ~ sQ0_spl
| sQ77_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f793,f383,f832,f301,f304]) ).
fof(f852,plain,
( ~ sQ77_spl
| u1_struct_0(sK0_skl) = k2_pre_topc(sK0_skl) ),
inference(forward_demodulation,[status(thm)],[f371,f833]) ).
fof(f857,plain,
( ~ sQ4_spl
| ~ sQ66_spl
| k6_pre_topc(sK0_skl,u1_struct_0(sK0_skl)) = k6_pre_topc(sK0_skl,sK1_skl)
| ~ m1_subset_1(sK1_skl,k1_zfmisc_1(u1_struct_0(sK0_skl))) ),
inference(paramodulation,[status(thm)],[f316,f774]) ).
fof(f858,definition,
( sQ82_spl
<=> k6_pre_topc(sK0_skl,u1_struct_0(sK0_skl)) = k6_pre_topc(sK0_skl,sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f859,plain,
( ~ sQ82_spl
| k6_pre_topc(sK0_skl,u1_struct_0(sK0_skl)) = k6_pre_topc(sK0_skl,sK1_skl) ),
inference(component_clause,[status(thm)],[f858]) ).
fof(f861,plain,
( ~ sQ4_spl
| ~ sQ66_spl
| sQ82_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f857,f312,f858,f773,f315]) ).
fof(f881,plain,
( ~ sQ77_spl
| k6_pre_topc(sK0_skl,u1_struct_0(sK0_skl)) = u1_struct_0(sK0_skl) ),
inference(backward_demodulation,[status(thm)],[f852,f371]) ).
fof(f1532,plain,
( ~ sQ82_spl
| ~ sQ77_spl
| u1_struct_0(sK0_skl) = k6_pre_topc(sK0_skl,sK1_skl) ),
inference(backward_demodulation,[status(thm)],[f881,f859]) ).
fof(f1923,plain,
( ~ sQ82_spl
| ~ sQ77_spl
| v1_tops_1(sK1_skl,sK0_skl)
| ~ m1_subset_1(sK1_skl,k1_zfmisc_1(u1_struct_0(sK0_skl)))
| ~ l1_pre_topc(sK0_skl) ),
inference(resolution,[status(thm)],[f1532,f161]) ).
fof(f1927,definition,
( sQ231_spl
<=> v1_tops_1(sK1_skl,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ231_spl])],[split_symbol_definition]) ).
fof(f1928,plain,
( ~ sQ231_spl
| v1_tops_1(sK1_skl,sK0_skl) ),
inference(component_clause,[status(thm)],[f1927]) ).
fof(f1930,plain,
( ~ sQ82_spl
| ~ sQ77_spl
| sQ231_spl
| ~ sQ3_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f1923,f304,f312,f1927,f832,f858]) ).
fof(f1934,plain,
( ~ sQ231_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1928,f78]) ).
fof(f1935,plain,
~ sQ231_spl,
inference(contradiction_clause,[status(thm)],[f1934]) ).
fof(f1936,plain,
$false,
inference(sat_refutation,[status(thm)],[f310,f318,f320,f322,f324,f362,f401,f776,f835,f861,f1930,f1935]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TOP024+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n004.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 12:39:49 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.16/0.37 % Drodi V4.1.1
% 0.16/0.43 % Refutation found
% 0.16/0.43 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.47 % Elapsed time: 0.096785 seconds
% 0.16/0.47 % CPU time: 0.505029 seconds
% 0.16/0.47 % Total memory used: 92.729 MB
% 0.16/0.47 % Net memory used: 92.333 MB
%------------------------------------------------------------------------------