TSTP Solution File: CAT025+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : CAT025+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:13:24 EDT 2024
% Result : Theorem 0.13s 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 20
% Syntax : Number of formulae : 91 ( 14 unt; 0 def)
% Number of atoms : 362 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 466 ( 195 ~; 195 |; 46 &)
% ( 16 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 21 ( 20 usr; 15 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 65 ( 59 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [A] :
( ( v2_cat_1(A)
& l1_cat_1(A) )
=> ! [B] :
( ( v2_cat_1(B)
& l1_cat_1(B) )
=> ! [C] :
( ( v2_cat_1(C)
& l1_cat_1(C) )
=> r1_isocat_1(k12_nattra_1(k11_cat_2(A,B),C),k12_nattra_1(A,k12_nattra_1(B,C))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ! [A] :
( ( v2_cat_1(A)
& l1_cat_1(A) )
=> ! [B] :
( ( v2_cat_1(B)
& l1_cat_1(B) )
=> ! [C] :
( ( v2_cat_1(C)
& l1_cat_1(C) )
=> r1_isocat_1(k12_nattra_1(k11_cat_2(A,B),C),k12_nattra_1(A,k12_nattra_1(B,C))) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f6,axiom,
! [A] :
( ( v2_cat_1(A)
& l1_cat_1(A) )
=> ! [B] :
( ( v2_cat_1(B)
& l1_cat_1(B) )
=> ( r1_isocat_1(A,B)
<=> ? [C] :
( m2_cat_1(C,A,B)
& v8_cat_1(C,A,B) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A,B] :
( ( v2_cat_1(A)
& l1_cat_1(A)
& v2_cat_1(B)
& l1_cat_1(B) )
=> ( v2_cat_1(k11_cat_2(A,B))
& l1_cat_1(k11_cat_2(A,B)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [A,B] :
( ( v2_cat_1(A)
& l1_cat_1(A)
& v2_cat_1(B)
& l1_cat_1(B) )
=> ( v1_cat_1(k12_nattra_1(A,B))
& v2_cat_1(k12_nattra_1(A,B))
& l1_cat_1(k12_nattra_1(A,B)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [A,B,C] :
( ( v2_cat_1(A)
& l1_cat_1(A)
& v2_cat_1(B)
& l1_cat_1(B)
& v2_cat_1(C)
& l1_cat_1(C) )
=> m2_cat_1(k7_isocat_2(A,B,C),k12_nattra_1(k11_cat_2(A,B),C),k12_nattra_1(A,k12_nattra_1(B,C))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44,axiom,
! [A] :
( ( v2_cat_1(A)
& l1_cat_1(A) )
=> ! [B] :
( ( v2_cat_1(B)
& l1_cat_1(B) )
=> ! [C] :
( ( v2_cat_1(C)
& l1_cat_1(C) )
=> v8_cat_1(k7_isocat_2(A,B,C),k12_nattra_1(k11_cat_2(A,B),C),k12_nattra_1(A,k12_nattra_1(B,C))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f51,plain,
? [A] :
( v2_cat_1(A)
& l1_cat_1(A)
& ? [B] :
( v2_cat_1(B)
& l1_cat_1(B)
& ? [C] :
( v2_cat_1(C)
& l1_cat_1(C)
& ~ r1_isocat_1(k12_nattra_1(k11_cat_2(A,B),C),k12_nattra_1(A,k12_nattra_1(B,C))) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f2]) ).
fof(f52,plain,
( v2_cat_1(sk0_0)
& l1_cat_1(sk0_0)
& v2_cat_1(sk0_1)
& l1_cat_1(sk0_1)
& v2_cat_1(sk0_2)
& l1_cat_1(sk0_2)
& ~ r1_isocat_1(k12_nattra_1(k11_cat_2(sk0_0,sk0_1),sk0_2),k12_nattra_1(sk0_0,k12_nattra_1(sk0_1,sk0_2))) ),
inference(skolemization,[status(esa)],[f51]) ).
fof(f53,plain,
v2_cat_1(sk0_0),
inference(cnf_transformation,[status(esa)],[f52]) ).
fof(f54,plain,
l1_cat_1(sk0_0),
inference(cnf_transformation,[status(esa)],[f52]) ).
fof(f55,plain,
v2_cat_1(sk0_1),
inference(cnf_transformation,[status(esa)],[f52]) ).
fof(f56,plain,
l1_cat_1(sk0_1),
inference(cnf_transformation,[status(esa)],[f52]) ).
fof(f57,plain,
v2_cat_1(sk0_2),
inference(cnf_transformation,[status(esa)],[f52]) ).
fof(f58,plain,
l1_cat_1(sk0_2),
inference(cnf_transformation,[status(esa)],[f52]) ).
fof(f59,plain,
~ r1_isocat_1(k12_nattra_1(k11_cat_2(sk0_0,sk0_1),sk0_2),k12_nattra_1(sk0_0,k12_nattra_1(sk0_1,sk0_2))),
inference(cnf_transformation,[status(esa)],[f52]) ).
fof(f67,plain,
! [A] :
( ~ v2_cat_1(A)
| ~ l1_cat_1(A)
| ! [B] :
( ~ v2_cat_1(B)
| ~ l1_cat_1(B)
| ( r1_isocat_1(A,B)
<=> ? [C] :
( m2_cat_1(C,A,B)
& v8_cat_1(C,A,B) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f6]) ).
fof(f68,plain,
! [A] :
( ~ v2_cat_1(A)
| ~ l1_cat_1(A)
| ! [B] :
( ~ v2_cat_1(B)
| ~ l1_cat_1(B)
| ( ( ~ r1_isocat_1(A,B)
| ? [C] :
( m2_cat_1(C,A,B)
& v8_cat_1(C,A,B) ) )
& ( r1_isocat_1(A,B)
| ! [C] :
( ~ m2_cat_1(C,A,B)
| ~ v8_cat_1(C,A,B) ) ) ) ) ),
inference(NNF_transformation,[status(esa)],[f67]) ).
fof(f69,plain,
! [A] :
( ~ v2_cat_1(A)
| ~ l1_cat_1(A)
| ! [B] :
( ~ v2_cat_1(B)
| ~ l1_cat_1(B)
| ( ( ~ r1_isocat_1(A,B)
| ( m2_cat_1(sk0_3(B,A),A,B)
& v8_cat_1(sk0_3(B,A),A,B) ) )
& ( r1_isocat_1(A,B)
| ! [C] :
( ~ m2_cat_1(C,A,B)
| ~ v8_cat_1(C,A,B) ) ) ) ) ),
inference(skolemization,[status(esa)],[f68]) ).
fof(f72,plain,
! [X0,X1,X2] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| r1_isocat_1(X0,X1)
| ~ m2_cat_1(X2,X0,X1)
| ~ v8_cat_1(X2,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f69]) ).
fof(f76,plain,
! [A,B] :
( ~ v2_cat_1(A)
| ~ l1_cat_1(A)
| ~ v2_cat_1(B)
| ~ l1_cat_1(B)
| ( v2_cat_1(k11_cat_2(A,B))
& l1_cat_1(k11_cat_2(A,B)) ) ),
inference(pre_NNF_transformation,[status(esa)],[f8]) ).
fof(f77,plain,
! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| v2_cat_1(k11_cat_2(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f76]) ).
fof(f78,plain,
! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| l1_cat_1(k11_cat_2(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f76]) ).
fof(f79,plain,
! [A,B] :
( ~ v2_cat_1(A)
| ~ l1_cat_1(A)
| ~ v2_cat_1(B)
| ~ l1_cat_1(B)
| ( v1_cat_1(k12_nattra_1(A,B))
& v2_cat_1(k12_nattra_1(A,B))
& l1_cat_1(k12_nattra_1(A,B)) ) ),
inference(pre_NNF_transformation,[status(esa)],[f9]) ).
fof(f81,plain,
! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| v2_cat_1(k12_nattra_1(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f79]) ).
fof(f82,plain,
! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| l1_cat_1(k12_nattra_1(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f79]) ).
fof(f83,plain,
! [A,B,C] :
( ~ v2_cat_1(A)
| ~ l1_cat_1(A)
| ~ v2_cat_1(B)
| ~ l1_cat_1(B)
| ~ v2_cat_1(C)
| ~ l1_cat_1(C)
| m2_cat_1(k7_isocat_2(A,B,C),k12_nattra_1(k11_cat_2(A,B),C),k12_nattra_1(A,k12_nattra_1(B,C))) ),
inference(pre_NNF_transformation,[status(esa)],[f13]) ).
fof(f84,plain,
! [X0,X1,X2] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| m2_cat_1(k7_isocat_2(X0,X1,X2),k12_nattra_1(k11_cat_2(X0,X1),X2),k12_nattra_1(X0,k12_nattra_1(X1,X2))) ),
inference(cnf_transformation,[status(esa)],[f83]) ).
fof(f158,plain,
! [A] :
( ~ v2_cat_1(A)
| ~ l1_cat_1(A)
| ! [B] :
( ~ v2_cat_1(B)
| ~ l1_cat_1(B)
| ! [C] :
( ~ v2_cat_1(C)
| ~ l1_cat_1(C)
| v8_cat_1(k7_isocat_2(A,B,C),k12_nattra_1(k11_cat_2(A,B),C),k12_nattra_1(A,k12_nattra_1(B,C))) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f44]) ).
fof(f159,plain,
! [X0,X1,X2] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| v8_cat_1(k7_isocat_2(X0,X1,X2),k12_nattra_1(k11_cat_2(X0,X1),X2),k12_nattra_1(X0,k12_nattra_1(X1,X2))) ),
inference(cnf_transformation,[status(esa)],[f158]) ).
fof(f185,plain,
( spl0_2
<=> v2_cat_1(k12_nattra_1(sk0_0,k12_nattra_1(sk0_1,sk0_2))) ),
introduced(split_symbol_definition) ).
fof(f187,plain,
( ~ v2_cat_1(k12_nattra_1(sk0_0,k12_nattra_1(sk0_1,sk0_2)))
| spl0_2 ),
inference(component_clause,[status(thm)],[f185]) ).
fof(f188,plain,
( spl0_3
<=> l1_cat_1(k12_nattra_1(sk0_0,k12_nattra_1(sk0_1,sk0_2))) ),
introduced(split_symbol_definition) ).
fof(f190,plain,
( ~ l1_cat_1(k12_nattra_1(sk0_0,k12_nattra_1(sk0_1,sk0_2)))
| spl0_3 ),
inference(component_clause,[status(thm)],[f188]) ).
fof(f191,plain,
( spl0_4
<=> v2_cat_1(k12_nattra_1(k11_cat_2(sk0_0,sk0_1),sk0_2)) ),
introduced(split_symbol_definition) ).
fof(f193,plain,
( ~ v2_cat_1(k12_nattra_1(k11_cat_2(sk0_0,sk0_1),sk0_2))
| spl0_4 ),
inference(component_clause,[status(thm)],[f191]) ).
fof(f194,plain,
( spl0_5
<=> l1_cat_1(k12_nattra_1(k11_cat_2(sk0_0,sk0_1),sk0_2)) ),
introduced(split_symbol_definition) ).
fof(f196,plain,
( ~ l1_cat_1(k12_nattra_1(k11_cat_2(sk0_0,sk0_1),sk0_2))
| spl0_5 ),
inference(component_clause,[status(thm)],[f194]) ).
fof(f207,plain,
( spl0_8
<=> v2_cat_1(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f209,plain,
( ~ v2_cat_1(sk0_0)
| spl0_8 ),
inference(component_clause,[status(thm)],[f207]) ).
fof(f210,plain,
( spl0_9
<=> l1_cat_1(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f212,plain,
( ~ l1_cat_1(sk0_0)
| spl0_9 ),
inference(component_clause,[status(thm)],[f210]) ).
fof(f213,plain,
( spl0_10
<=> v2_cat_1(k12_nattra_1(sk0_1,sk0_2)) ),
introduced(split_symbol_definition) ).
fof(f215,plain,
( ~ v2_cat_1(k12_nattra_1(sk0_1,sk0_2))
| spl0_10 ),
inference(component_clause,[status(thm)],[f213]) ).
fof(f216,plain,
( spl0_11
<=> l1_cat_1(k12_nattra_1(sk0_1,sk0_2)) ),
introduced(split_symbol_definition) ).
fof(f218,plain,
( ~ l1_cat_1(k12_nattra_1(sk0_1,sk0_2))
| spl0_11 ),
inference(component_clause,[status(thm)],[f216]) ).
fof(f219,plain,
( ~ v2_cat_1(sk0_0)
| ~ l1_cat_1(sk0_0)
| ~ v2_cat_1(k12_nattra_1(sk0_1,sk0_2))
| ~ l1_cat_1(k12_nattra_1(sk0_1,sk0_2))
| spl0_3 ),
inference(resolution,[status(thm)],[f190,f82]) ).
fof(f220,plain,
( ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| spl0_3 ),
inference(split_clause,[status(thm)],[f219,f207,f210,f213,f216,f188]) ).
fof(f221,plain,
( $false
| spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f212,f54]) ).
fof(f222,plain,
spl0_9,
inference(contradiction_clause,[status(thm)],[f221]) ).
fof(f223,plain,
( $false
| spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f209,f53]) ).
fof(f224,plain,
spl0_8,
inference(contradiction_clause,[status(thm)],[f223]) ).
fof(f225,plain,
( spl0_12
<=> v2_cat_1(sk0_1) ),
introduced(split_symbol_definition) ).
fof(f227,plain,
( ~ v2_cat_1(sk0_1)
| spl0_12 ),
inference(component_clause,[status(thm)],[f225]) ).
fof(f228,plain,
( spl0_13
<=> l1_cat_1(sk0_1) ),
introduced(split_symbol_definition) ).
fof(f230,plain,
( ~ l1_cat_1(sk0_1)
| spl0_13 ),
inference(component_clause,[status(thm)],[f228]) ).
fof(f231,plain,
( spl0_14
<=> v2_cat_1(sk0_2) ),
introduced(split_symbol_definition) ).
fof(f233,plain,
( ~ v2_cat_1(sk0_2)
| spl0_14 ),
inference(component_clause,[status(thm)],[f231]) ).
fof(f234,plain,
( spl0_15
<=> l1_cat_1(sk0_2) ),
introduced(split_symbol_definition) ).
fof(f236,plain,
( ~ l1_cat_1(sk0_2)
| spl0_15 ),
inference(component_clause,[status(thm)],[f234]) ).
fof(f237,plain,
( ~ v2_cat_1(sk0_1)
| ~ l1_cat_1(sk0_1)
| ~ v2_cat_1(sk0_2)
| ~ l1_cat_1(sk0_2)
| spl0_11 ),
inference(resolution,[status(thm)],[f218,f82]) ).
fof(f238,plain,
( ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| spl0_11 ),
inference(split_clause,[status(thm)],[f237,f225,f228,f231,f234,f216]) ).
fof(f239,plain,
( $false
| spl0_15 ),
inference(forward_subsumption_resolution,[status(thm)],[f236,f58]) ).
fof(f240,plain,
spl0_15,
inference(contradiction_clause,[status(thm)],[f239]) ).
fof(f241,plain,
( $false
| spl0_14 ),
inference(forward_subsumption_resolution,[status(thm)],[f233,f57]) ).
fof(f242,plain,
spl0_14,
inference(contradiction_clause,[status(thm)],[f241]) ).
fof(f243,plain,
( $false
| spl0_13 ),
inference(forward_subsumption_resolution,[status(thm)],[f230,f56]) ).
fof(f244,plain,
spl0_13,
inference(contradiction_clause,[status(thm)],[f243]) ).
fof(f245,plain,
( $false
| spl0_12 ),
inference(forward_subsumption_resolution,[status(thm)],[f227,f55]) ).
fof(f246,plain,
spl0_12,
inference(contradiction_clause,[status(thm)],[f245]) ).
fof(f247,plain,
( ~ v2_cat_1(sk0_0)
| ~ l1_cat_1(sk0_0)
| ~ v2_cat_1(k12_nattra_1(sk0_1,sk0_2))
| ~ l1_cat_1(k12_nattra_1(sk0_1,sk0_2))
| spl0_2 ),
inference(resolution,[status(thm)],[f187,f81]) ).
fof(f248,plain,
( ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| spl0_2 ),
inference(split_clause,[status(thm)],[f247,f207,f210,f213,f216,f185]) ).
fof(f249,plain,
( spl0_16
<=> v2_cat_1(k11_cat_2(sk0_0,sk0_1)) ),
introduced(split_symbol_definition) ).
fof(f251,plain,
( ~ v2_cat_1(k11_cat_2(sk0_0,sk0_1))
| spl0_16 ),
inference(component_clause,[status(thm)],[f249]) ).
fof(f252,plain,
( spl0_17
<=> l1_cat_1(k11_cat_2(sk0_0,sk0_1)) ),
introduced(split_symbol_definition) ).
fof(f254,plain,
( ~ l1_cat_1(k11_cat_2(sk0_0,sk0_1))
| spl0_17 ),
inference(component_clause,[status(thm)],[f252]) ).
fof(f255,plain,
( ~ v2_cat_1(k11_cat_2(sk0_0,sk0_1))
| ~ l1_cat_1(k11_cat_2(sk0_0,sk0_1))
| ~ v2_cat_1(sk0_2)
| ~ l1_cat_1(sk0_2)
| spl0_5 ),
inference(resolution,[status(thm)],[f196,f82]) ).
fof(f256,plain,
( ~ spl0_16
| ~ spl0_17
| ~ spl0_14
| ~ spl0_15
| spl0_5 ),
inference(split_clause,[status(thm)],[f255,f249,f252,f231,f234,f194]) ).
fof(f257,plain,
( ~ v2_cat_1(sk0_1)
| ~ l1_cat_1(sk0_1)
| ~ v2_cat_1(sk0_2)
| ~ l1_cat_1(sk0_2)
| spl0_10 ),
inference(resolution,[status(thm)],[f215,f81]) ).
fof(f258,plain,
( ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| spl0_10 ),
inference(split_clause,[status(thm)],[f257,f225,f228,f231,f234,f213]) ).
fof(f259,plain,
( ~ v2_cat_1(sk0_0)
| ~ l1_cat_1(sk0_0)
| ~ v2_cat_1(sk0_1)
| ~ l1_cat_1(sk0_1)
| spl0_17 ),
inference(resolution,[status(thm)],[f254,f78]) ).
fof(f260,plain,
( ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| spl0_17 ),
inference(split_clause,[status(thm)],[f259,f207,f210,f225,f228,f252]) ).
fof(f261,plain,
( ~ v2_cat_1(sk0_0)
| ~ l1_cat_1(sk0_0)
| ~ v2_cat_1(sk0_1)
| ~ l1_cat_1(sk0_1)
| spl0_16 ),
inference(resolution,[status(thm)],[f251,f77]) ).
fof(f262,plain,
( ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| spl0_16 ),
inference(split_clause,[status(thm)],[f261,f207,f210,f225,f228,f249]) ).
fof(f263,plain,
( ~ v2_cat_1(k11_cat_2(sk0_0,sk0_1))
| ~ l1_cat_1(k11_cat_2(sk0_0,sk0_1))
| ~ v2_cat_1(sk0_2)
| ~ l1_cat_1(sk0_2)
| spl0_4 ),
inference(resolution,[status(thm)],[f193,f81]) ).
fof(f264,plain,
( ~ spl0_16
| ~ spl0_17
| ~ spl0_14
| ~ spl0_15
| spl0_4 ),
inference(split_clause,[status(thm)],[f263,f249,f252,f231,f234,f191]) ).
fof(f270,plain,
! [X0,X1,X2] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(k12_nattra_1(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(k12_nattra_1(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k12_nattra_1(X0,k12_nattra_1(X1,X2)))
| ~ l1_cat_1(k12_nattra_1(X0,k12_nattra_1(X1,X2)))
| r1_isocat_1(k12_nattra_1(k11_cat_2(X0,X1),X2),k12_nattra_1(X0,k12_nattra_1(X1,X2)))
| ~ m2_cat_1(k7_isocat_2(X0,X1,X2),k12_nattra_1(k11_cat_2(X0,X1),X2),k12_nattra_1(X0,k12_nattra_1(X1,X2))) ),
inference(resolution,[status(thm)],[f159,f72]) ).
fof(f271,plain,
! [X0,X1,X2] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(k12_nattra_1(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(k12_nattra_1(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k12_nattra_1(X0,k12_nattra_1(X1,X2)))
| ~ l1_cat_1(k12_nattra_1(X0,k12_nattra_1(X1,X2)))
| r1_isocat_1(k12_nattra_1(k11_cat_2(X0,X1),X2),k12_nattra_1(X0,k12_nattra_1(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[f270,f84]) ).
fof(f272,plain,
( ~ v2_cat_1(sk0_0)
| ~ l1_cat_1(sk0_0)
| ~ v2_cat_1(sk0_1)
| ~ l1_cat_1(sk0_1)
| ~ v2_cat_1(sk0_2)
| ~ l1_cat_1(sk0_2)
| ~ v2_cat_1(k12_nattra_1(k11_cat_2(sk0_0,sk0_1),sk0_2))
| ~ l1_cat_1(k12_nattra_1(k11_cat_2(sk0_0,sk0_1),sk0_2))
| ~ v2_cat_1(k12_nattra_1(sk0_0,k12_nattra_1(sk0_1,sk0_2)))
| ~ l1_cat_1(k12_nattra_1(sk0_0,k12_nattra_1(sk0_1,sk0_2))) ),
inference(resolution,[status(thm)],[f271,f59]) ).
fof(f273,plain,
( ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_4
| ~ spl0_5
| ~ spl0_2
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f272,f207,f210,f225,f228,f231,f234,f191,f194,f185,f188]) ).
fof(f274,plain,
$false,
inference(sat_refutation,[status(thm)],[f220,f222,f224,f238,f240,f242,f244,f246,f248,f256,f258,f260,f262,f264,f273]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : CAT025+1 : TPTP v8.1.2. Released v3.4.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 29 22:27:28 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 0.13/0.37 % Refutation found
% 0.13/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.38 % Elapsed time: 0.031136 seconds
% 0.13/0.38 % CPU time: 0.100974 seconds
% 0.13/0.38 % Total memory used: 19.325 MB
% 0.13/0.38 % Net memory used: 19.282 MB
%------------------------------------------------------------------------------