%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : TOP027+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 : n020.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 03:53:25 PM UTC 2026
% Result : Theorem 0.18s 0.48s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 12
% Syntax : Number of formulae : 54 ( 14 unt; 8 def)
% Number of atoms : 155 ( 8 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 162 ( 61 ~; 57 |; 21 &)
% ( 8 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 16 ( 14 usr; 9 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 30 ( 27 !; 3 ?)
% 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)
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
=> k1_tops_1(A,C) = k3_tex_4(A,k5_subset_1(u1_struct_0(A),B,k1_tops_1(A,C))) ) ) ) ),
file('/export/starexec/sandbox/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)
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
=> k1_tops_1(A,C) = k3_tex_4(A,k5_subset_1(u1_struct_0(A),B,k1_tops_1(A,C))) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f69,axiom,
! [A,B] :
( ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
& l1_pre_topc(A) )
=> m1_subset_1(k1_tops_1(A,B),k1_zfmisc_1(u1_struct_0(A))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f77,axiom,
! [A,B] :
( ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
& l1_pre_topc(A)
& v2_pre_topc(A) )
=> v3_pre_topc(k1_tops_1(A,B),A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f80,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)
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
=> ( v3_pre_topc(C,A)
=> C = k3_tex_4(A,k5_subset_1(u1_struct_0(A),B,C)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f81,plain,
? [A] :
( ? [B] :
( ? [C] :
( k1_tops_1(A,C) != k3_tex_4(A,k5_subset_1(u1_struct_0(A),B,k1_tops_1(A,C)))
& m1_subset_1(C,k1_zfmisc_1(u1_struct_0(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(f82,plain,
( k1_tops_1(sK0_skl,sK2_skl) != k3_tex_4(sK0_skl,k5_subset_1(u1_struct_0(sK0_skl),sK1_skl,k1_tops_1(sK0_skl,sK2_skl)))
& m1_subset_1(sK2_skl,k1_zfmisc_1(u1_struct_0(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,sK2_skl]),skolemize(A,sK0_skl),skolemize(B,sK1_skl),skolemize(C,sK2_skl)],[f81]) ).
fof(f83,plain,
~ v3_struct_0(sK0_skl),
inference(cnf_transformation,[status(thm)],[f82]) ).
fof(f84,plain,
v2_pre_topc(sK0_skl),
inference(cnf_transformation,[status(thm)],[f82]) ).
fof(f85,plain,
l1_pre_topc(sK0_skl),
inference(cnf_transformation,[status(thm)],[f82]) ).
fof(f86,plain,
m1_subset_1(sK1_skl,k1_zfmisc_1(u1_struct_0(sK0_skl))),
inference(cnf_transformation,[status(thm)],[f82]) ).
fof(f87,plain,
v1_tsp_2(sK1_skl,sK0_skl),
inference(cnf_transformation,[status(thm)],[f82]) ).
fof(f88,plain,
m1_subset_1(sK2_skl,k1_zfmisc_1(u1_struct_0(sK0_skl))),
inference(cnf_transformation,[status(thm)],[f82]) ).
fof(f89,plain,
k1_tops_1(sK0_skl,sK2_skl) != k3_tex_4(sK0_skl,k5_subset_1(u1_struct_0(sK0_skl),sK1_skl,k1_tops_1(sK0_skl,sK2_skl))),
inference(cnf_transformation,[status(thm)],[f82]) ).
fof(f336,plain,
! [A,B] :
( m1_subset_1(k1_tops_1(A,B),k1_zfmisc_1(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)],[f69]) ).
fof(f337,plain,
! [X0,X1] :
( m1_subset_1(k1_tops_1(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[status(thm)],[f336]) ).
fof(f345,plain,
! [A,B] :
( v3_pre_topc(k1_tops_1(A,B),A)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ l1_pre_topc(A)
| ~ v2_pre_topc(A) ),
inference(pre_NNF_transformation,[status(thm)],[f77]) ).
fof(f346,plain,
! [X0,X1] :
( v3_pre_topc(k1_tops_1(X0,X1),X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[status(thm)],[f345]) ).
fof(f355,plain,
! [A] :
( ! [B] :
( ! [C] :
( C = k3_tex_4(A,k5_subset_1(u1_struct_0(A),B,C))
| ~ v3_pre_topc(C,A)
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(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)],[f80]) ).
fof(f356,plain,
! [X0,X1,X2] :
( X2 = k3_tex_4(X0,k5_subset_1(u1_struct_0(X0),X1,X2))
| ~ v3_pre_topc(X2,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(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)],[f355]) ).
fof(f359,definition,
( sQ0_spl
<=> l1_pre_topc(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f361,plain,
( sQ0_spl
| ~ l1_pre_topc(sK0_skl) ),
inference(component_clause,[status(thm)],[f359]) ).
fof(f376,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f361,f85]) ).
fof(f377,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f376]) ).
fof(f458,plain,
( v3_pre_topc(k1_tops_1(sK0_skl,sK2_skl),sK0_skl)
| ~ l1_pre_topc(sK0_skl)
| ~ v2_pre_topc(sK0_skl) ),
inference(resolution,[status(thm)],[f346,f88]) ).
fof(f460,definition,
( sQ21_spl
<=> v2_pre_topc(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f462,plain,
( sQ21_spl
| ~ v2_pre_topc(sK0_skl) ),
inference(component_clause,[status(thm)],[f460]) ).
fof(f463,definition,
( sQ22_spl
<=> v3_pre_topc(k1_tops_1(sK0_skl,sK2_skl),sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f466,plain,
( sQ22_spl
| ~ sQ0_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f458,f460,f359,f463]) ).
fof(f471,plain,
( sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f462,f84]) ).
fof(f472,plain,
sQ21_spl,
inference(contradiction_clause,[status(thm)],[f471]) ).
fof(f543,plain,
( ~ v3_pre_topc(k1_tops_1(sK0_skl,sK2_skl),sK0_skl)
| ~ m1_subset_1(k1_tops_1(sK0_skl,sK2_skl),k1_zfmisc_1(u1_struct_0(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(resolution,[status(thm)],[f356,f89]) ).
fof(f544,definition,
( sQ26_spl
<=> v3_struct_0(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f545,plain,
( ~ sQ26_spl
| v3_struct_0(sK0_skl) ),
inference(component_clause,[status(thm)],[f544]) ).
fof(f547,definition,
( sQ27_spl
<=> m1_subset_1(sK1_skl,k1_zfmisc_1(u1_struct_0(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f549,plain,
( sQ27_spl
| ~ m1_subset_1(sK1_skl,k1_zfmisc_1(u1_struct_0(sK0_skl))) ),
inference(component_clause,[status(thm)],[f547]) ).
fof(f550,definition,
( sQ28_spl
<=> v1_tsp_2(sK1_skl,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f552,plain,
( sQ28_spl
| ~ v1_tsp_2(sK1_skl,sK0_skl) ),
inference(component_clause,[status(thm)],[f550]) ).
fof(f553,definition,
( sQ29_spl
<=> m1_subset_1(k1_tops_1(sK0_skl,sK2_skl),k1_zfmisc_1(u1_struct_0(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f555,plain,
( sQ29_spl
| ~ m1_subset_1(k1_tops_1(sK0_skl,sK2_skl),k1_zfmisc_1(u1_struct_0(sK0_skl))) ),
inference(component_clause,[status(thm)],[f553]) ).
fof(f556,plain,
( ~ sQ22_spl
| ~ sQ29_spl
| ~ sQ28_spl
| ~ sQ27_spl
| ~ sQ0_spl
| ~ sQ21_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f543,f544,f460,f359,f547,f550,f553,f463]) ).
fof(f602,plain,
( sQ29_spl
| ~ m1_subset_1(sK2_skl,k1_zfmisc_1(u1_struct_0(sK0_skl)))
| ~ l1_pre_topc(sK0_skl) ),
inference(resolution,[status(thm)],[f555,f337]) ).
fof(f603,definition,
( sQ33_spl
<=> m1_subset_1(sK2_skl,k1_zfmisc_1(u1_struct_0(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f605,plain,
( sQ33_spl
| ~ m1_subset_1(sK2_skl,k1_zfmisc_1(u1_struct_0(sK0_skl))) ),
inference(component_clause,[status(thm)],[f603]) ).
fof(f606,plain,
( sQ29_spl
| ~ sQ33_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f602,f359,f603,f553]) ).
fof(f607,plain,
( sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f605,f88]) ).
fof(f608,plain,
sQ33_spl,
inference(contradiction_clause,[status(thm)],[f607]) ).
fof(f609,plain,
( sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f552,f87]) ).
fof(f610,plain,
sQ28_spl,
inference(contradiction_clause,[status(thm)],[f609]) ).
fof(f611,plain,
( ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f545,f83]) ).
fof(f612,plain,
~ sQ26_spl,
inference(contradiction_clause,[status(thm)],[f611]) ).
fof(f613,plain,
( sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f549,f86]) ).
fof(f614,plain,
sQ27_spl,
inference(contradiction_clause,[status(thm)],[f613]) ).
fof(f615,plain,
$false,
inference(sat_refutation,[status(thm)],[f377,f466,f472,f556,f606,f608,f610,f612,f614]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : TOP027+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.43 % Computer : n020.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Mon Sep 21 12:40:47 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.45 % Drodi V4.1.1
% 0.18/0.48 % Refutation found
% 0.18/0.48 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.18/0.48 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.24/0.51 % Elapsed time: 0.069248 seconds
% 0.24/0.51 % CPU time: 0.185012 seconds
% 0.24/0.51 % Total memory used: 81.634 MB
% 0.24/0.51 % Net memory used: 81.535 MB
%------------------------------------------------------------------------------