%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : TOP025+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 0.12s 0.39s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 16
% Syntax : Number of formulae : 76 ( 11 unt; 11 def)
% Number of atoms : 256 ( 33 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 297 ( 117 ~; 121 |; 31 &)
% ( 15 <=>; 13 =>; 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 : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 44 ( 42 !; 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_tex_2(B,k1_zfmisc_1(u1_struct_0(A)))
& v1_tsp_2(B,A)
& ( v4_pre_topc(B,A)
| v3_pre_topc(B,A) ) ) ) ),
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_tex_2(B,k1_zfmisc_1(u1_struct_0(A)))
& v1_tsp_2(B,A)
& ( v4_pre_topc(B,A)
| v3_pre_topc(B,A) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f25,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/sandbox/benchmark/theBenchmark.p') ).
fof(f56,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)))
=> ( v3_pre_topc(B,A)
=> k3_tex_4(A,B) = B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f58,axiom,
! [A,B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> ( v1_tex_2(B,k1_zfmisc_1(A))
<=> B != A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f59,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)))
=> ( v4_pre_topc(B,A)
=> k3_tex_4(A,B) = B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f63,plain,
? [A] :
( ? [B] :
( v1_tex_2(B,k1_zfmisc_1(u1_struct_0(A)))
& v1_tsp_2(B,A)
& ( v4_pre_topc(B,A)
| v3_pre_topc(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(f64,plain,
( v1_tex_2(sK1_skl,k1_zfmisc_1(u1_struct_0(sK0_skl)))
& v1_tsp_2(sK1_skl,sK0_skl)
& ( v4_pre_topc(sK1_skl,sK0_skl)
| v3_pre_topc(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)],[f63]) ).
fof(f65,plain,
~ v3_struct_0(sK0_skl),
inference(cnf_transformation,[status(thm)],[f64]) ).
fof(f66,plain,
v2_pre_topc(sK0_skl),
inference(cnf_transformation,[status(thm)],[f64]) ).
fof(f67,plain,
l1_pre_topc(sK0_skl),
inference(cnf_transformation,[status(thm)],[f64]) ).
fof(f68,plain,
m1_subset_1(sK1_skl,k1_zfmisc_1(u1_struct_0(sK0_skl))),
inference(cnf_transformation,[status(thm)],[f64]) ).
fof(f69,plain,
( v4_pre_topc(sK1_skl,sK0_skl)
| v3_pre_topc(sK1_skl,sK0_skl) ),
inference(cnf_transformation,[status(thm)],[f64]) ).
fof(f70,plain,
v1_tsp_2(sK1_skl,sK0_skl),
inference(cnf_transformation,[status(thm)],[f64]) ).
fof(f71,plain,
v1_tex_2(sK1_skl,k1_zfmisc_1(u1_struct_0(sK0_skl))),
inference(cnf_transformation,[status(thm)],[f64]) ).
fof(f151,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)],[f25]) ).
fof(f152,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)],[f151]) ).
fof(f154,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)],[f152]) ).
fof(f256,plain,
! [A] :
( ! [B] :
( k3_tex_4(A,B) = B
| ~ v3_pre_topc(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)],[f56]) ).
fof(f257,plain,
! [X0,X1] :
( k3_tex_4(X0,X1) = X1
| ~ v3_pre_topc(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)],[f256]) ).
fof(f261,plain,
! [A,B] :
( ( v1_tex_2(B,k1_zfmisc_1(A))
<=> B != A )
| ~ m1_subset_1(B,k1_zfmisc_1(A)) ),
inference(pre_NNF_transformation,[status(thm)],[f58]) ).
fof(f262,plain,
! [A,B] :
( ( ( B = A
| v1_tex_2(B,k1_zfmisc_1(A)) )
& ( B != A
| ~ v1_tex_2(B,k1_zfmisc_1(A)) ) )
| ~ m1_subset_1(B,k1_zfmisc_1(A)) ),
inference(NNF_transformation,[status(thm)],[f261]) ).
fof(f263,plain,
! [X0,X1] :
( X0 != X1
| ~ v1_tex_2(X0,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[status(thm)],[f262]) ).
fof(f265,plain,
! [A] :
( ! [B] :
( k3_tex_4(A,B) = B
| ~ v4_pre_topc(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)],[f59]) ).
fof(f266,plain,
! [X0,X1] :
( k3_tex_4(X0,X1) = X1
| ~ v4_pre_topc(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)],[f265]) ).
fof(f275,definition,
( sQ0_spl
<=> v3_pre_topc(sK1_skl,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f276,plain,
( ~ sQ0_spl
| v3_pre_topc(sK1_skl,sK0_skl) ),
inference(component_clause,[status(thm)],[f275]) ).
fof(f278,definition,
( sQ1_spl
<=> v4_pre_topc(sK1_skl,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f279,plain,
( ~ sQ1_spl
| v4_pre_topc(sK1_skl,sK0_skl) ),
inference(component_clause,[status(thm)],[f278]) ).
fof(f281,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f69,f275,f278]) ).
fof(f282,plain,
! [X0] :
( ~ v1_tex_2(X0,k1_zfmisc_1(X0))
| ~ m1_subset_1(X0,k1_zfmisc_1(X0)) ),
inference(destructive_equality_resolution,[status(thm)],[f263]) ).
fof(f285,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)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f154,f66]) ).
fof(f286,definition,
( sQ2_spl
<=> v3_struct_0(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f287,plain,
( ~ sQ2_spl
| v3_struct_0(sK0_skl) ),
inference(component_clause,[status(thm)],[f286]) ).
fof(f289,definition,
( sQ3_spl
<=> l1_pre_topc(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f291,plain,
( sQ3_spl
| ~ l1_pre_topc(sK0_skl) ),
inference(component_clause,[status(thm)],[f289]) ).
fof(f292,definition,
! [X0] :
( sQ4_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,[sQ4_spl])],[split_symbol_definition]) ).
fof(f293,plain,
! [X0] :
( ~ sQ4_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)],[f292]) ).
fof(f295,plain,
( sQ4_spl
| ~ sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f285,f286,f289,f292]) ).
fof(f297,plain,
! [X0] :
( k3_tex_4(sK0_skl,X0) = X0
| ~ v3_pre_topc(X0,sK0_skl)
| ~ 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)],[f257,f66]) ).
fof(f298,definition,
! [X0] :
( sQ5_spl
<=> ( k3_tex_4(sK0_skl,X0) = X0
| ~ v3_pre_topc(X0,sK0_skl)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f299,plain,
! [X0] :
( ~ sQ5_spl
| k3_tex_4(sK0_skl,X0) = X0
| ~ v3_pre_topc(X0,sK0_skl)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0_skl))) ),
inference(component_clause,[status(thm)],[f298]) ).
fof(f301,plain,
( sQ5_spl
| ~ sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f297,f286,f289,f298]) ).
fof(f302,plain,
( sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f291,f67]) ).
fof(f303,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f302]) ).
fof(f304,plain,
( ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f287,f65]) ).
fof(f305,plain,
~ sQ2_spl,
inference(contradiction_clause,[status(thm)],[f304]) ).
fof(f306,plain,
! [X0] :
( k3_tex_4(sK0_skl,X0) = X0
| ~ v4_pre_topc(X0,sK0_skl)
| ~ 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)],[f266,f66]) ).
fof(f307,definition,
! [X0] :
( sQ6_spl
<=> ( k3_tex_4(sK0_skl,X0) = X0
| ~ v4_pre_topc(X0,sK0_skl)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f308,plain,
! [X0] :
( ~ sQ6_spl
| k3_tex_4(sK0_skl,X0) = X0
| ~ v4_pre_topc(X0,sK0_skl)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0_skl))) ),
inference(component_clause,[status(thm)],[f307]) ).
fof(f310,plain,
( sQ6_spl
| ~ sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f306,f286,f289,f307]) ).
fof(f312,plain,
( ~ sQ0_spl
| ~ sQ5_spl
| k3_tex_4(sK0_skl,sK1_skl) = sK1_skl
| ~ m1_subset_1(sK1_skl,k1_zfmisc_1(u1_struct_0(sK0_skl))) ),
inference(resolution,[status(thm)],[f299,f276]) ).
fof(f319,definition,
( sQ9_spl
<=> v2_pre_topc(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f321,plain,
( sQ9_spl
| ~ v2_pre_topc(sK0_skl) ),
inference(component_clause,[status(thm)],[f319]) ).
fof(f323,definition,
( sQ10_spl
<=> m1_subset_1(sK1_skl,k1_zfmisc_1(u1_struct_0(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f325,plain,
( sQ10_spl
| ~ m1_subset_1(sK1_skl,k1_zfmisc_1(u1_struct_0(sK0_skl))) ),
inference(component_clause,[status(thm)],[f323]) ).
fof(f326,definition,
( sQ11_spl
<=> k3_tex_4(sK0_skl,sK1_skl) = sK1_skl ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f327,plain,
( ~ sQ11_spl
| k3_tex_4(sK0_skl,sK1_skl) = sK1_skl ),
inference(component_clause,[status(thm)],[f326]) ).
fof(f329,plain,
( ~ sQ0_spl
| ~ sQ5_spl
| sQ11_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f312,f323,f326,f298,f275]) ).
fof(f330,plain,
( sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f325,f68]) ).
fof(f331,plain,
sQ10_spl,
inference(contradiction_clause,[status(thm)],[f330]) ).
fof(f332,plain,
( sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f321,f66]) ).
fof(f333,plain,
sQ9_spl,
inference(contradiction_clause,[status(thm)],[f332]) ).
fof(f340,plain,
( ~ sQ4_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)],[f293,f70]) ).
fof(f342,definition,
( sQ12_spl
<=> k3_tex_4(sK0_skl,sK1_skl) = u1_struct_0(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f343,plain,
( ~ sQ12_spl
| k3_tex_4(sK0_skl,sK1_skl) = u1_struct_0(sK0_skl) ),
inference(component_clause,[status(thm)],[f342]) ).
fof(f345,plain,
( ~ sQ4_spl
| sQ12_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f340,f323,f342,f292]) ).
fof(f352,plain,
( ~ sQ12_spl
| ~ sQ11_spl
| v1_tex_2(sK1_skl,k1_zfmisc_1(sK1_skl)) ),
inference(backward_demodulation,[status(thm)],[f356,f71]) ).
fof(f353,plain,
( ~ sQ12_spl
| ~ sQ11_spl
| m1_subset_1(sK1_skl,k1_zfmisc_1(sK1_skl)) ),
inference(backward_demodulation,[status(thm)],[f356,f68]) ).
fof(f356,plain,
( ~ sQ12_spl
| ~ sQ11_spl
| sK1_skl = u1_struct_0(sK0_skl) ),
inference(forward_demodulation,[status(thm)],[f327,f343]) ).
fof(f495,plain,
( ~ sQ12_spl
| ~ sQ11_spl
| ~ v1_tex_2(sK1_skl,k1_zfmisc_1(sK1_skl)) ),
inference(resolution,[status(thm)],[f282,f353]) ).
fof(f496,plain,
( ~ sQ12_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f495,f352]) ).
fof(f497,plain,
( ~ sQ12_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f496]) ).
fof(f505,plain,
( ~ sQ1_spl
| ~ sQ6_spl
| k3_tex_4(sK0_skl,sK1_skl) = sK1_skl
| ~ m1_subset_1(sK1_skl,k1_zfmisc_1(u1_struct_0(sK0_skl))) ),
inference(resolution,[status(thm)],[f308,f279]) ).
fof(f511,plain,
( ~ sQ1_spl
| ~ sQ6_spl
| sQ11_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f505,f323,f326,f307,f278]) ).
fof(f523,plain,
$false,
inference(sat_refutation,[status(thm)],[f281,f295,f301,f303,f305,f310,f329,f331,f333,f345,f497,f511]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TOP025+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n020.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 12:41:17 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.37 % Drodi V4.1.1
% 0.12/0.39 % Refutation found
% 0.12/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.42 % Elapsed time: 0.052604 seconds
% 0.12/0.42 % CPU time: 0.165105 seconds
% 0.12/0.42 % Total memory used: 73.212 MB
% 0.12/0.42 % Net memory used: 73.106 MB
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