%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CAT032+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 : n005.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 12:07:35 PM UTC 2026
% Result : Theorem 0.13s 0.62s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 28
% Syntax : Number of formulae : 120 ( 20 unt; 21 def)
% Number of atoms : 422 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 533 ( 231 ~; 219 |; 46 &)
% ( 23 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 29 ( 28 usr; 22 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-3 aty)
% Number of variables : 72 ( 65 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [A] :
( ( l1_cat_1(A)
& v2_cat_1(A) )
=> ! [B] :
( ( l1_cat_1(B)
& v2_cat_1(B) )
=> ! [C] :
( ( l1_cat_1(C)
& v2_cat_1(C) )
=> r1_isocat_1(k12_nattra_1(A,k11_cat_2(B,C)),k11_cat_2(k12_nattra_1(A,B),k12_nattra_1(A,C))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ! [A] :
( ( l1_cat_1(A)
& v2_cat_1(A) )
=> ! [B] :
( ( l1_cat_1(B)
& v2_cat_1(B) )
=> ! [C] :
( ( l1_cat_1(C)
& v2_cat_1(C) )
=> r1_isocat_1(k12_nattra_1(A,k11_cat_2(B,C)),k11_cat_2(k12_nattra_1(A,B),k12_nattra_1(A,C))) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f6,axiom,
! [A] :
( ( l1_cat_1(A)
& v2_cat_1(A) )
=> ! [B] :
( ( l1_cat_1(B)
& v2_cat_1(B) )
=> ( r1_isocat_1(A,B)
<=> ? [C] :
( v8_cat_1(C,A,B)
& m2_cat_1(C,A,B) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A,B] :
( ( l1_cat_1(B)
& v2_cat_1(B)
& l1_cat_1(A)
& v2_cat_1(A) )
=> ( l1_cat_1(k11_cat_2(A,B))
& v2_cat_1(k11_cat_2(A,B)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [A,B] :
( ( l1_cat_1(B)
& v2_cat_1(B)
& l1_cat_1(A)
& v2_cat_1(A) )
=> ( l1_cat_1(k12_nattra_1(A,B))
& v2_cat_1(k12_nattra_1(A,B))
& v1_cat_1(k12_nattra_1(A,B)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [A,B,C] :
( ( l1_cat_1(C)
& v2_cat_1(C)
& l1_cat_1(B)
& v2_cat_1(B)
& l1_cat_1(A)
& v2_cat_1(A) )
=> m2_cat_1(k17_isocat_2(A,B,C),k12_nattra_1(A,k11_cat_2(B,C)),k11_cat_2(k12_nattra_1(A,B),k12_nattra_1(A,C))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,axiom,
! [A] :
? [B] : m1_subset_1(B,A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f45,axiom,
! [A] :
( ( l1_cat_1(A)
& v2_cat_1(A) )
=> ! [B] :
( ( l1_cat_1(B)
& v2_cat_1(B) )
=> ! [C] :
( ( l1_cat_1(C)
& v2_cat_1(C) )
=> v8_cat_1(k17_isocat_2(A,B,C),k12_nattra_1(A,k11_cat_2(B,C)),k11_cat_2(k12_nattra_1(A,B),k12_nattra_1(A,C))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f51,plain,
? [A] :
( ? [B] :
( ? [C] :
( ~ r1_isocat_1(k12_nattra_1(A,k11_cat_2(B,C)),k11_cat_2(k12_nattra_1(A,B),k12_nattra_1(A,C)))
& l1_cat_1(C)
& v2_cat_1(C) )
& l1_cat_1(B)
& v2_cat_1(B) )
& l1_cat_1(A)
& v2_cat_1(A) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f52,plain,
( ~ r1_isocat_1(k12_nattra_1(sK0_skl,k11_cat_2(sK1_skl,sK2_skl)),k11_cat_2(k12_nattra_1(sK0_skl,sK1_skl),k12_nattra_1(sK0_skl,sK2_skl)))
& l1_cat_1(sK2_skl)
& v2_cat_1(sK2_skl)
& l1_cat_1(sK1_skl)
& v2_cat_1(sK1_skl)
& l1_cat_1(sK0_skl)
& v2_cat_1(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)],[f51]) ).
fof(f53,plain,
v2_cat_1(sK0_skl),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f54,plain,
l1_cat_1(sK0_skl),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f55,plain,
v2_cat_1(sK1_skl),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f56,plain,
l1_cat_1(sK1_skl),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f57,plain,
v2_cat_1(sK2_skl),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f58,plain,
l1_cat_1(sK2_skl),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f59,plain,
~ r1_isocat_1(k12_nattra_1(sK0_skl,k11_cat_2(sK1_skl,sK2_skl)),k11_cat_2(k12_nattra_1(sK0_skl,sK1_skl),k12_nattra_1(sK0_skl,sK2_skl))),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f67,plain,
! [A] :
( ! [B] :
( ( r1_isocat_1(A,B)
<=> ? [C] :
( v8_cat_1(C,A,B)
& m2_cat_1(C,A,B) ) )
| ~ l1_cat_1(B)
| ~ v2_cat_1(B) )
| ~ l1_cat_1(A)
| ~ v2_cat_1(A) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f68,plain,
! [A] :
( ! [B] :
( ( ( ! [C] :
( ~ v8_cat_1(C,A,B)
| ~ m2_cat_1(C,A,B) )
| r1_isocat_1(A,B) )
& ( ? [C] :
( v8_cat_1(C,A,B)
& m2_cat_1(C,A,B) )
| ~ r1_isocat_1(A,B) ) )
| ~ l1_cat_1(B)
| ~ v2_cat_1(B) )
| ~ l1_cat_1(A)
| ~ v2_cat_1(A) ),
inference(NNF_transformation,[status(thm)],[f67]) ).
fof(f69,plain,
! [A] :
( ! [B] :
( ( ( ! [C] :
( ~ v8_cat_1(C,A,B)
| ~ m2_cat_1(C,A,B) )
| r1_isocat_1(A,B) )
& ( ( v8_cat_1(sK3_skl(B,A),A,B)
& m2_cat_1(sK3_skl(B,A),A,B) )
| ~ r1_isocat_1(A,B) ) )
| ~ l1_cat_1(B)
| ~ v2_cat_1(B) )
| ~ l1_cat_1(A)
| ~ v2_cat_1(A) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl]),skolemize(C,sK3_skl(B,A))],[f68]) ).
fof(f72,plain,
! [X0,X1,X2] :
( ~ v8_cat_1(X2,X0,X1)
| ~ m2_cat_1(X2,X0,X1)
| r1_isocat_1(X0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[status(thm)],[f69]) ).
fof(f76,plain,
! [A,B] :
( ( l1_cat_1(k11_cat_2(A,B))
& v2_cat_1(k11_cat_2(A,B)) )
| ~ l1_cat_1(B)
| ~ v2_cat_1(B)
| ~ l1_cat_1(A)
| ~ v2_cat_1(A) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f77,plain,
! [X0,X1] :
( v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[status(thm)],[f76]) ).
fof(f78,plain,
! [X0,X1] :
( l1_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[status(thm)],[f76]) ).
fof(f79,plain,
! [A,B] :
( ( l1_cat_1(k12_nattra_1(A,B))
& v2_cat_1(k12_nattra_1(A,B))
& v1_cat_1(k12_nattra_1(A,B)) )
| ~ l1_cat_1(B)
| ~ v2_cat_1(B)
| ~ l1_cat_1(A)
| ~ v2_cat_1(A) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f81,plain,
! [X0,X1] :
( v2_cat_1(k12_nattra_1(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[status(thm)],[f79]) ).
fof(f82,plain,
! [X0,X1] :
( l1_cat_1(k12_nattra_1(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[status(thm)],[f79]) ).
fof(f83,plain,
! [A,B,C] :
( m2_cat_1(k17_isocat_2(A,B,C),k12_nattra_1(A,k11_cat_2(B,C)),k11_cat_2(k12_nattra_1(A,B),k12_nattra_1(A,C)))
| ~ l1_cat_1(C)
| ~ v2_cat_1(C)
| ~ l1_cat_1(B)
| ~ v2_cat_1(B)
| ~ l1_cat_1(A)
| ~ v2_cat_1(A) ),
inference(pre_NNF_transformation,[status(thm)],[f10]) ).
fof(f84,plain,
! [X0,X1,X2] :
( m2_cat_1(k17_isocat_2(X0,X1,X2),k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[status(thm)],[f83]) ).
fof(f114,plain,
! [A] : m1_subset_1(sK6_skl(A),A),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl]),skolemize(B,sK6_skl(A))],[f27]) ).
fof(f115,plain,
! [X0] : m1_subset_1(sK6_skl(X0),X0),
inference(cnf_transformation,[status(thm)],[f114]) ).
fof(f162,plain,
! [A] :
( ! [B] :
( ! [C] :
( v8_cat_1(k17_isocat_2(A,B,C),k12_nattra_1(A,k11_cat_2(B,C)),k11_cat_2(k12_nattra_1(A,B),k12_nattra_1(A,C)))
| ~ l1_cat_1(C)
| ~ v2_cat_1(C) )
| ~ l1_cat_1(B)
| ~ v2_cat_1(B) )
| ~ l1_cat_1(A)
| ~ v2_cat_1(A) ),
inference(pre_NNF_transformation,[status(thm)],[f45]) ).
fof(f163,plain,
! [X0,X1,X2] :
( v8_cat_1(k17_isocat_2(X0,X1,X2),k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[status(thm)],[f162]) ).
fof(f186,definition,
( sQ2_spl
<=> v2_cat_1(k11_cat_2(k12_nattra_1(sK0_skl,sK1_skl),k12_nattra_1(sK0_skl,sK2_skl))) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f188,plain,
( sQ2_spl
| ~ v2_cat_1(k11_cat_2(k12_nattra_1(sK0_skl,sK1_skl),k12_nattra_1(sK0_skl,sK2_skl))) ),
inference(component_clause,[status(thm)],[f186]) ).
fof(f189,definition,
( sQ3_spl
<=> l1_cat_1(k11_cat_2(k12_nattra_1(sK0_skl,sK1_skl),k12_nattra_1(sK0_skl,sK2_skl))) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f191,plain,
( sQ3_spl
| ~ l1_cat_1(k11_cat_2(k12_nattra_1(sK0_skl,sK1_skl),k12_nattra_1(sK0_skl,sK2_skl))) ),
inference(component_clause,[status(thm)],[f189]) ).
fof(f192,definition,
( sQ4_spl
<=> v2_cat_1(k12_nattra_1(sK0_skl,k11_cat_2(sK1_skl,sK2_skl))) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f194,plain,
( sQ4_spl
| ~ v2_cat_1(k12_nattra_1(sK0_skl,k11_cat_2(sK1_skl,sK2_skl))) ),
inference(component_clause,[status(thm)],[f192]) ).
fof(f195,definition,
( sQ5_spl
<=> l1_cat_1(k12_nattra_1(sK0_skl,k11_cat_2(sK1_skl,sK2_skl))) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f197,plain,
( sQ5_spl
| ~ l1_cat_1(k12_nattra_1(sK0_skl,k11_cat_2(sK1_skl,sK2_skl))) ),
inference(component_clause,[status(thm)],[f195]) ).
fof(f207,plain,
( sQ3_spl
| ~ l1_cat_1(k12_nattra_1(sK0_skl,sK2_skl))
| ~ v2_cat_1(k12_nattra_1(sK0_skl,sK2_skl))
| ~ l1_cat_1(k12_nattra_1(sK0_skl,sK1_skl))
| ~ v2_cat_1(k12_nattra_1(sK0_skl,sK1_skl)) ),
inference(resolution,[status(thm)],[f191,f78]) ).
fof(f208,definition,
( sQ8_spl
<=> v2_cat_1(k12_nattra_1(sK0_skl,sK1_skl)) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f210,plain,
( sQ8_spl
| ~ v2_cat_1(k12_nattra_1(sK0_skl,sK1_skl)) ),
inference(component_clause,[status(thm)],[f208]) ).
fof(f211,definition,
( sQ9_spl
<=> l1_cat_1(k12_nattra_1(sK0_skl,sK1_skl)) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f213,plain,
( sQ9_spl
| ~ l1_cat_1(k12_nattra_1(sK0_skl,sK1_skl)) ),
inference(component_clause,[status(thm)],[f211]) ).
fof(f214,definition,
( sQ10_spl
<=> v2_cat_1(k12_nattra_1(sK0_skl,sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f216,plain,
( sQ10_spl
| ~ v2_cat_1(k12_nattra_1(sK0_skl,sK2_skl)) ),
inference(component_clause,[status(thm)],[f214]) ).
fof(f217,definition,
( sQ11_spl
<=> l1_cat_1(k12_nattra_1(sK0_skl,sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f219,plain,
( sQ11_spl
| ~ l1_cat_1(k12_nattra_1(sK0_skl,sK2_skl)) ),
inference(component_clause,[status(thm)],[f217]) ).
fof(f220,plain,
( sQ3_spl
| ~ sQ11_spl
| ~ sQ10_spl
| ~ sQ9_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f207,f208,f211,f214,f217,f189]) ).
fof(f226,plain,
( sQ11_spl
| ~ l1_cat_1(sK2_skl)
| ~ v2_cat_1(sK2_skl)
| ~ l1_cat_1(sK0_skl)
| ~ v2_cat_1(sK0_skl) ),
inference(resolution,[status(thm)],[f219,f82]) ).
fof(f227,definition,
( sQ12_spl
<=> v2_cat_1(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f229,plain,
( sQ12_spl
| ~ v2_cat_1(sK0_skl) ),
inference(component_clause,[status(thm)],[f227]) ).
fof(f230,definition,
( sQ13_spl
<=> l1_cat_1(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f232,plain,
( sQ13_spl
| ~ l1_cat_1(sK0_skl) ),
inference(component_clause,[status(thm)],[f230]) ).
fof(f233,definition,
( sQ14_spl
<=> v2_cat_1(sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f235,plain,
( sQ14_spl
| ~ v2_cat_1(sK2_skl) ),
inference(component_clause,[status(thm)],[f233]) ).
fof(f236,definition,
( sQ15_spl
<=> l1_cat_1(sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f238,plain,
( sQ15_spl
| ~ l1_cat_1(sK2_skl) ),
inference(component_clause,[status(thm)],[f236]) ).
fof(f239,plain,
( sQ11_spl
| ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f226,f227,f230,f233,f236,f217]) ).
fof(f240,plain,
( sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f238,f58]) ).
fof(f241,plain,
sQ15_spl,
inference(contradiction_clause,[status(thm)],[f240]) ).
fof(f242,plain,
( sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f235,f57]) ).
fof(f243,plain,
sQ14_spl,
inference(contradiction_clause,[status(thm)],[f242]) ).
fof(f244,plain,
( sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f232,f54]) ).
fof(f245,plain,
sQ13_spl,
inference(contradiction_clause,[status(thm)],[f244]) ).
fof(f246,plain,
( sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f229,f53]) ).
fof(f247,plain,
sQ12_spl,
inference(contradiction_clause,[status(thm)],[f246]) ).
fof(f248,plain,
( sQ10_spl
| ~ l1_cat_1(sK2_skl)
| ~ v2_cat_1(sK2_skl)
| ~ l1_cat_1(sK0_skl)
| ~ v2_cat_1(sK0_skl) ),
inference(resolution,[status(thm)],[f216,f81]) ).
fof(f249,plain,
( sQ10_spl
| ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f248,f227,f230,f233,f236,f214]) ).
fof(f250,plain,
( sQ9_spl
| ~ l1_cat_1(sK1_skl)
| ~ v2_cat_1(sK1_skl)
| ~ l1_cat_1(sK0_skl)
| ~ v2_cat_1(sK0_skl) ),
inference(resolution,[status(thm)],[f213,f82]) ).
fof(f251,definition,
( sQ16_spl
<=> v2_cat_1(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f253,plain,
( sQ16_spl
| ~ v2_cat_1(sK1_skl) ),
inference(component_clause,[status(thm)],[f251]) ).
fof(f254,definition,
( sQ17_spl
<=> l1_cat_1(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f256,plain,
( sQ17_spl
| ~ l1_cat_1(sK1_skl) ),
inference(component_clause,[status(thm)],[f254]) ).
fof(f257,plain,
( sQ9_spl
| ~ sQ17_spl
| ~ sQ16_spl
| ~ sQ13_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f250,f227,f230,f251,f254,f211]) ).
fof(f258,plain,
( sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f256,f56]) ).
fof(f259,plain,
sQ17_spl,
inference(contradiction_clause,[status(thm)],[f258]) ).
fof(f260,plain,
( sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f253,f55]) ).
fof(f261,plain,
sQ16_spl,
inference(contradiction_clause,[status(thm)],[f260]) ).
fof(f262,plain,
( sQ2_spl
| ~ l1_cat_1(k12_nattra_1(sK0_skl,sK2_skl))
| ~ v2_cat_1(k12_nattra_1(sK0_skl,sK2_skl))
| ~ l1_cat_1(k12_nattra_1(sK0_skl,sK1_skl))
| ~ v2_cat_1(k12_nattra_1(sK0_skl,sK1_skl)) ),
inference(resolution,[status(thm)],[f188,f77]) ).
fof(f263,plain,
( sQ2_spl
| ~ sQ11_spl
| ~ sQ10_spl
| ~ sQ9_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f262,f208,f211,f214,f217,f186]) ).
fof(f264,plain,
( sQ8_spl
| ~ l1_cat_1(sK1_skl)
| ~ v2_cat_1(sK1_skl)
| ~ l1_cat_1(sK0_skl)
| ~ v2_cat_1(sK0_skl) ),
inference(resolution,[status(thm)],[f210,f81]) ).
fof(f265,plain,
( sQ8_spl
| ~ sQ17_spl
| ~ sQ16_spl
| ~ sQ13_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f264,f227,f230,f251,f254,f208]) ).
fof(f266,plain,
( sQ5_spl
| ~ l1_cat_1(k11_cat_2(sK1_skl,sK2_skl))
| ~ v2_cat_1(k11_cat_2(sK1_skl,sK2_skl))
| ~ l1_cat_1(sK0_skl)
| ~ v2_cat_1(sK0_skl) ),
inference(resolution,[status(thm)],[f197,f82]) ).
fof(f267,definition,
( sQ18_spl
<=> v2_cat_1(k11_cat_2(sK1_skl,sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f269,plain,
( sQ18_spl
| ~ v2_cat_1(k11_cat_2(sK1_skl,sK2_skl)) ),
inference(component_clause,[status(thm)],[f267]) ).
fof(f270,definition,
( sQ19_spl
<=> l1_cat_1(k11_cat_2(sK1_skl,sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f272,plain,
( sQ19_spl
| ~ l1_cat_1(k11_cat_2(sK1_skl,sK2_skl)) ),
inference(component_clause,[status(thm)],[f270]) ).
fof(f273,plain,
( sQ5_spl
| ~ sQ19_spl
| ~ sQ18_spl
| ~ sQ13_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f266,f227,f230,f267,f270,f195]) ).
fof(f274,plain,
( sQ19_spl
| ~ l1_cat_1(sK2_skl)
| ~ v2_cat_1(sK2_skl)
| ~ l1_cat_1(sK1_skl)
| ~ v2_cat_1(sK1_skl) ),
inference(resolution,[status(thm)],[f272,f78]) ).
fof(f275,plain,
( sQ19_spl
| ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ17_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f274,f251,f254,f233,f236,f270]) ).
fof(f276,plain,
( sQ18_spl
| ~ l1_cat_1(sK2_skl)
| ~ v2_cat_1(sK2_skl)
| ~ l1_cat_1(sK1_skl)
| ~ v2_cat_1(sK1_skl) ),
inference(resolution,[status(thm)],[f269,f77]) ).
fof(f277,plain,
( sQ18_spl
| ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ17_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f276,f251,f254,f233,f236,f267]) ).
fof(f280,plain,
! [X0] :
( ~ v8_cat_1(X0,k12_nattra_1(sK0_skl,k11_cat_2(sK1_skl,sK2_skl)),k11_cat_2(k12_nattra_1(sK0_skl,sK1_skl),k12_nattra_1(sK0_skl,sK2_skl)))
| ~ m2_cat_1(X0,k12_nattra_1(sK0_skl,k11_cat_2(sK1_skl,sK2_skl)),k11_cat_2(k12_nattra_1(sK0_skl,sK1_skl),k12_nattra_1(sK0_skl,sK2_skl)))
| ~ l1_cat_1(k11_cat_2(k12_nattra_1(sK0_skl,sK1_skl),k12_nattra_1(sK0_skl,sK2_skl)))
| ~ v2_cat_1(k11_cat_2(k12_nattra_1(sK0_skl,sK1_skl),k12_nattra_1(sK0_skl,sK2_skl)))
| ~ l1_cat_1(k12_nattra_1(sK0_skl,k11_cat_2(sK1_skl,sK2_skl)))
| ~ v2_cat_1(k12_nattra_1(sK0_skl,k11_cat_2(sK1_skl,sK2_skl))) ),
inference(resolution,[status(thm)],[f72,f59]) ).
fof(f281,definition,
! [X0] :
( sQ20_spl
<=> ( ~ v8_cat_1(X0,k12_nattra_1(sK0_skl,k11_cat_2(sK1_skl,sK2_skl)),k11_cat_2(k12_nattra_1(sK0_skl,sK1_skl),k12_nattra_1(sK0_skl,sK2_skl)))
| ~ m2_cat_1(X0,k12_nattra_1(sK0_skl,k11_cat_2(sK1_skl,sK2_skl)),k11_cat_2(k12_nattra_1(sK0_skl,sK1_skl),k12_nattra_1(sK0_skl,sK2_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f282,plain,
! [X0] :
( ~ sQ20_spl
| ~ v8_cat_1(X0,k12_nattra_1(sK0_skl,k11_cat_2(sK1_skl,sK2_skl)),k11_cat_2(k12_nattra_1(sK0_skl,sK1_skl),k12_nattra_1(sK0_skl,sK2_skl)))
| ~ m2_cat_1(X0,k12_nattra_1(sK0_skl,k11_cat_2(sK1_skl,sK2_skl)),k11_cat_2(k12_nattra_1(sK0_skl,sK1_skl),k12_nattra_1(sK0_skl,sK2_skl))) ),
inference(component_clause,[status(thm)],[f281]) ).
fof(f284,plain,
( sQ20_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f280,f192,f195,f186,f189,f281]) ).
fof(f285,plain,
( sQ4_spl
| ~ l1_cat_1(k11_cat_2(sK1_skl,sK2_skl))
| ~ v2_cat_1(k11_cat_2(sK1_skl,sK2_skl))
| ~ l1_cat_1(sK0_skl)
| ~ v2_cat_1(sK0_skl) ),
inference(resolution,[status(thm)],[f194,f81]) ).
fof(f286,plain,
( sQ4_spl
| ~ sQ19_spl
| ~ sQ18_spl
| ~ sQ13_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f285,f227,f230,f267,f270,f192]) ).
fof(f324,plain,
( ~ sQ20_spl
| ~ v8_cat_1(k17_isocat_2(sK0_skl,sK1_skl,sK2_skl),k12_nattra_1(sK0_skl,k11_cat_2(sK1_skl,sK2_skl)),k11_cat_2(k12_nattra_1(sK0_skl,sK1_skl),k12_nattra_1(sK0_skl,sK2_skl)))
| ~ l1_cat_1(sK2_skl)
| ~ v2_cat_1(sK2_skl)
| ~ l1_cat_1(sK1_skl)
| ~ v2_cat_1(sK1_skl)
| ~ l1_cat_1(sK0_skl)
| ~ v2_cat_1(sK0_skl) ),
inference(resolution,[status(thm)],[f84,f282]) ).
fof(f325,definition,
( sQ24_spl
<=> v8_cat_1(k17_isocat_2(sK0_skl,sK1_skl,sK2_skl),k12_nattra_1(sK0_skl,k11_cat_2(sK1_skl,sK2_skl)),k11_cat_2(k12_nattra_1(sK0_skl,sK1_skl),k12_nattra_1(sK0_skl,sK2_skl))) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f327,plain,
( sQ24_spl
| ~ v8_cat_1(k17_isocat_2(sK0_skl,sK1_skl,sK2_skl),k12_nattra_1(sK0_skl,k11_cat_2(sK1_skl,sK2_skl)),k11_cat_2(k12_nattra_1(sK0_skl,sK1_skl),k12_nattra_1(sK0_skl,sK2_skl))) ),
inference(component_clause,[status(thm)],[f325]) ).
fof(f328,plain,
( ~ sQ20_spl
| ~ sQ24_spl
| ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ17_spl
| ~ sQ16_spl
| ~ sQ13_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f324,f227,f230,f251,f254,f233,f236,f325,f281]) ).
fof(f984,definition,
! [X0] :
( sQ141_spl
<=> ~ m1_subset_1(X0,sK9_skl(k1_xboole_0)) ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f985,plain,
! [X0] :
( ~ sQ141_spl
| ~ m1_subset_1(X0,sK9_skl(k1_xboole_0)) ),
inference(component_clause,[status(thm)],[f984]) ).
fof(f991,definition,
! [X0] :
( sQ143_spl
<=> ~ m1_subset_1(X0,k1_xboole_0) ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f992,plain,
! [X0] :
( ~ sQ143_spl
| ~ m1_subset_1(X0,k1_xboole_0) ),
inference(component_clause,[status(thm)],[f991]) ).
fof(f995,definition,
! [X0] :
( sQ144_spl
<=> ~ m1_subset_1(X0,sK6_skl(k1_zfmisc_1(k1_xboole_0))) ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f996,plain,
! [X0] :
( ~ sQ144_spl
| ~ m1_subset_1(X0,sK6_skl(k1_zfmisc_1(k1_xboole_0))) ),
inference(component_clause,[status(thm)],[f995]) ).
fof(f1002,plain,
( ~ sQ143_spl
| $false ),
inference(resolution,[status(thm)],[f992,f115]) ).
fof(f1004,plain,
~ sQ143_spl,
inference(contradiction_clause,[status(thm)],[f1002]) ).
fof(f1098,plain,
( ~ sQ141_spl
| $false ),
inference(resolution,[status(thm)],[f985,f115]) ).
fof(f1100,plain,
~ sQ141_spl,
inference(contradiction_clause,[status(thm)],[f1098]) ).
fof(f1112,plain,
( ~ sQ144_spl
| $false ),
inference(resolution,[status(thm)],[f996,f115]) ).
fof(f1114,plain,
~ sQ144_spl,
inference(contradiction_clause,[status(thm)],[f1112]) ).
fof(f1344,plain,
( sQ24_spl
| ~ l1_cat_1(sK2_skl)
| ~ v2_cat_1(sK2_skl)
| ~ l1_cat_1(sK1_skl)
| ~ v2_cat_1(sK1_skl)
| ~ l1_cat_1(sK0_skl)
| ~ v2_cat_1(sK0_skl) ),
inference(resolution,[status(thm)],[f163,f327]) ).
fof(f1345,plain,
( sQ24_spl
| ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ17_spl
| ~ sQ16_spl
| ~ sQ13_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f1344,f227,f230,f251,f254,f233,f236,f325]) ).
fof(f1346,plain,
$false,
inference(sat_refutation,[status(thm)],[f220,f239,f241,f243,f245,f247,f249,f257,f259,f261,f263,f265,f273,f275,f277,f284,f286,f328,f1004,f1100,f1114,f1345]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CAT032+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.55 % Computer : n005.cluster.edu
% 0.09/0.55 % Model : x86_64 x86_64
% 0.09/0.55 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.55 % Memory : 8046.5625MB
% 0.09/0.55 % OS : Linux 6.8.0-71-generic
% 0.13/0.56 % CPULimit : 300
% 0.13/0.56 % WCLimit : 300
% 0.13/0.56 % DateTime : Mon Sep 21 14:00:18 UTC 2026
% 0.13/0.56 % CPUTime :
% 0.13/0.57 % Drodi V4.1.1
% 0.13/0.62 % Refutation found
% 0.13/0.62 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.62 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.64 % Elapsed time: 0.073490 seconds
% 0.13/0.64 % CPU time: 0.312295 seconds
% 0.13/0.64 % Total memory used: 89.187 MB
% 0.13/0.64 % Net memory used: 88.911 MB
%------------------------------------------------------------------------------