TSTP Solution File: LAT352+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LAT352+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n019.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 : Wed May 31 12:17:43 EDT 2023
% Result : Theorem 1.72s 0.62s
% Output : CNFRefutation 1.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 46
% Syntax : Number of formulae : 204 ( 38 unt; 0 def)
% Number of atoms : 1049 ( 23 equ)
% Maximal formula atoms : 25 ( 5 avg)
% Number of connectives : 1444 ( 599 ~; 622 |; 153 &)
% ( 39 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 60 ( 58 usr; 33 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-4 aty)
% Number of variables : 151 (; 146 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [A] :
( ( v2_orders_2(A)
& v3_orders_2(A)
& v4_orders_2(A)
& v1_lattice3(A)
& v2_lattice3(A)
& v3_lattice3(A)
& l1_orders_2(A) )
=> ! [B] :
( ( v2_orders_2(B)
& v3_orders_2(B)
& v4_orders_2(B)
& v1_lattice3(B)
& v2_lattice3(B)
& v3_lattice3(B)
& l1_orders_2(B) )
=> ! [C] :
( ( v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v17_waybel_0(C,A,B)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> k7_yellow_2(u1_struct_0(B),A,k1_waybel34(A,B,C),D) = k2_yellow_0(A,k5_pre_topc(A,B,C,k7_waybel_0(B,D))) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ! [A] :
( ( v2_orders_2(A)
& v3_orders_2(A)
& v4_orders_2(A)
& v1_lattice3(A)
& v2_lattice3(A)
& v3_lattice3(A)
& l1_orders_2(A) )
=> ! [B] :
( ( v2_orders_2(B)
& v3_orders_2(B)
& v4_orders_2(B)
& v1_lattice3(B)
& v2_lattice3(B)
& v3_lattice3(B)
& l1_orders_2(B) )
=> ! [C] :
( ( v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v17_waybel_0(C,A,B)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> k7_yellow_2(u1_struct_0(B),A,k1_waybel34(A,B,C),D) = k2_yellow_0(A,k5_pre_topc(A,B,C,k7_waybel_0(B,D))) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f21,axiom,
! [A] :
( l1_orders_2(A)
=> ( v1_lattice3(A)
=> ~ v3_struct_0(A) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,axiom,
! [A] :
( l1_orders_2(A)
=> ( ( ~ v3_struct_0(A)
& v3_lattice3(A) )
=> ( ~ v3_struct_0(A)
& v1_lattice3(A)
& v2_lattice3(A) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,axiom,
! [A] :
( l1_orders_2(A)
=> ( v2_lattice3(A)
=> ~ v3_struct_0(A) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f45,axiom,
! [A] :
( ( v2_orders_2(A)
& v3_orders_2(A)
& v4_orders_2(A)
& v1_lattice3(A)
& v2_lattice3(A)
& l1_orders_2(A) )
=> ! [B] :
( ( v2_orders_2(B)
& v3_orders_2(B)
& v4_orders_2(B)
& v1_lattice3(B)
& v2_lattice3(B)
& l1_orders_2(B) )
=> ! [C] :
( ( v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ( ( v3_lattice3(A)
& v3_lattice3(B)
& v17_waybel_0(C,A,B) )
=> ! [D] :
( ( v1_funct_1(D)
& v1_funct_2(D,u1_struct_0(B),u1_struct_0(A))
& m2_relset_1(D,u1_struct_0(B),u1_struct_0(A)) )
=> ( D = k1_waybel34(A,B,C)
<=> v3_waybel_1(k1_waybel_1(A,B,C,D),A,B) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f47,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l1_orders_2(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( r3_waybel_1(A,B,C)
<=> ( r2_yellow_0(A,C)
& B = k2_yellow_0(A,C)
& r2_hidden(k2_yellow_0(A,C),C) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f52,axiom,
! [A,B,C] :
( ( v2_orders_2(A)
& v3_orders_2(A)
& v4_orders_2(A)
& v1_lattice3(A)
& v2_lattice3(A)
& l1_orders_2(A)
& v2_orders_2(B)
& v3_orders_2(B)
& v4_orders_2(B)
& v1_lattice3(B)
& v2_lattice3(B)
& l1_orders_2(B)
& v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ( v1_funct_1(k1_waybel34(A,B,C))
& v1_funct_2(k1_waybel34(A,B,C),u1_struct_0(B),u1_struct_0(A))
& m2_relset_1(k1_waybel34(A,B,C),u1_struct_0(B),u1_struct_0(A)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f63,axiom,
! [A,B,C,D] :
( ( ~ v1_xboole_0(A)
& ~ v3_struct_0(B)
& l1_struct_0(B)
& v1_funct_1(C)
& v1_funct_2(C,A,u1_struct_0(B))
& m1_relset_1(C,A,u1_struct_0(B))
& m1_subset_1(D,A) )
=> m1_subset_1(k7_yellow_2(A,B,C,D),u1_struct_0(B)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f64,axiom,
! [A] :
( l1_orders_2(A)
=> l1_struct_0(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f90,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l1_struct_0(A) )
=> ~ v1_xboole_0(u1_struct_0(A)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f95,axiom,
( v1_xboole_0(k1_xboole_0)
& v1_membered(k1_xboole_0)
& v2_membered(k1_xboole_0)
& v3_membered(k1_xboole_0)
& v4_membered(k1_xboole_0)
& v5_membered(k1_xboole_0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f121,axiom,
! [A,B,C] :
( m2_relset_1(C,A,B)
<=> m1_relset_1(C,A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f123,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v2_orders_2(A)
& v3_orders_2(A)
& v4_orders_2(A)
& l1_orders_2(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v2_orders_2(B)
& v3_orders_2(B)
& v4_orders_2(B)
& l1_orders_2(B) )
=> ! [C] :
( ( v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ! [D] :
( ( v1_funct_1(D)
& v1_funct_2(D,u1_struct_0(B),u1_struct_0(A))
& m2_relset_1(D,u1_struct_0(B),u1_struct_0(A)) )
=> ( v3_waybel_1(k1_waybel_1(A,B,C,D),A,B)
<=> ( v5_orders_3(C,A,B)
& ! [E] :
( m1_subset_1(E,u1_struct_0(B))
=> r3_waybel_1(A,k7_yellow_2(u1_struct_0(B),A,D,E),k5_pre_topc(A,B,C,k7_waybel_0(B,E))) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f129,axiom,
! [A] :
( v1_xboole_0(A)
=> A = k1_xboole_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f132,plain,
? [A] :
( v2_orders_2(A)
& v3_orders_2(A)
& v4_orders_2(A)
& v1_lattice3(A)
& v2_lattice3(A)
& v3_lattice3(A)
& l1_orders_2(A)
& ? [B] :
( v2_orders_2(B)
& v3_orders_2(B)
& v4_orders_2(B)
& v1_lattice3(B)
& v2_lattice3(B)
& v3_lattice3(B)
& l1_orders_2(B)
& ? [C] :
( v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v17_waybel_0(C,A,B)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B))
& ? [D] :
( m1_subset_1(D,u1_struct_0(B))
& k7_yellow_2(u1_struct_0(B),A,k1_waybel34(A,B,C),D) != k2_yellow_0(A,k5_pre_topc(A,B,C,k7_waybel_0(B,D))) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f2]) ).
fof(f133,plain,
( v2_orders_2(sk0_0)
& v3_orders_2(sk0_0)
& v4_orders_2(sk0_0)
& v1_lattice3(sk0_0)
& v2_lattice3(sk0_0)
& v3_lattice3(sk0_0)
& l1_orders_2(sk0_0)
& v2_orders_2(sk0_1)
& v3_orders_2(sk0_1)
& v4_orders_2(sk0_1)
& v1_lattice3(sk0_1)
& v2_lattice3(sk0_1)
& v3_lattice3(sk0_1)
& l1_orders_2(sk0_1)
& v1_funct_1(sk0_2)
& v1_funct_2(sk0_2,u1_struct_0(sk0_0),u1_struct_0(sk0_1))
& v17_waybel_0(sk0_2,sk0_0,sk0_1)
& m2_relset_1(sk0_2,u1_struct_0(sk0_0),u1_struct_0(sk0_1))
& m1_subset_1(sk0_3,u1_struct_0(sk0_1))
& k7_yellow_2(u1_struct_0(sk0_1),sk0_0,k1_waybel34(sk0_0,sk0_1,sk0_2),sk0_3) != k2_yellow_0(sk0_0,k5_pre_topc(sk0_0,sk0_1,sk0_2,k7_waybel_0(sk0_1,sk0_3))) ),
inference(skolemization,[status(esa)],[f132]) ).
fof(f134,plain,
v2_orders_2(sk0_0),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f135,plain,
v3_orders_2(sk0_0),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f136,plain,
v4_orders_2(sk0_0),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f138,plain,
v2_lattice3(sk0_0),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f139,plain,
v3_lattice3(sk0_0),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f140,plain,
l1_orders_2(sk0_0),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f141,plain,
v2_orders_2(sk0_1),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f142,plain,
v3_orders_2(sk0_1),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f143,plain,
v4_orders_2(sk0_1),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f145,plain,
v2_lattice3(sk0_1),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f146,plain,
v3_lattice3(sk0_1),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f147,plain,
l1_orders_2(sk0_1),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f148,plain,
v1_funct_1(sk0_2),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f149,plain,
v1_funct_2(sk0_2,u1_struct_0(sk0_0),u1_struct_0(sk0_1)),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f150,plain,
v17_waybel_0(sk0_2,sk0_0,sk0_1),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f151,plain,
m2_relset_1(sk0_2,u1_struct_0(sk0_0),u1_struct_0(sk0_1)),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f152,plain,
m1_subset_1(sk0_3,u1_struct_0(sk0_1)),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f153,plain,
k7_yellow_2(u1_struct_0(sk0_1),sk0_0,k1_waybel34(sk0_0,sk0_1,sk0_2),sk0_3) != k2_yellow_0(sk0_0,k5_pre_topc(sk0_0,sk0_1,sk0_2,k7_waybel_0(sk0_1,sk0_3))),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f231,plain,
! [A] :
( ~ l1_orders_2(A)
| ~ v1_lattice3(A)
| ~ v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(esa)],[f21]) ).
fof(f232,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v3_struct_0(X0) ),
inference(cnf_transformation,[status(esa)],[f231]) ).
fof(f250,plain,
! [A] :
( ~ l1_orders_2(A)
| v3_struct_0(A)
| ~ v3_lattice3(A)
| ( ~ v3_struct_0(A)
& v1_lattice3(A)
& v2_lattice3(A) ) ),
inference(pre_NNF_transformation,[status(esa)],[f27]) ).
fof(f252,plain,
! [X0] :
( ~ l1_orders_2(X0)
| v3_struct_0(X0)
| ~ v3_lattice3(X0)
| v1_lattice3(X0) ),
inference(cnf_transformation,[status(esa)],[f250]) ).
fof(f279,plain,
! [A] :
( ~ l1_orders_2(A)
| ~ v2_lattice3(A)
| ~ v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(esa)],[f32]) ).
fof(f280,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v3_struct_0(X0) ),
inference(cnf_transformation,[status(esa)],[f279]) ).
fof(f321,plain,
! [A] :
( ~ v2_orders_2(A)
| ~ v3_orders_2(A)
| ~ v4_orders_2(A)
| ~ v1_lattice3(A)
| ~ v2_lattice3(A)
| ~ l1_orders_2(A)
| ! [B] :
( ~ v2_orders_2(B)
| ~ v3_orders_2(B)
| ~ v4_orders_2(B)
| ~ v1_lattice3(B)
| ~ v2_lattice3(B)
| ~ l1_orders_2(B)
| ! [C] :
( ~ v1_funct_1(C)
| ~ v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
| ~ m2_relset_1(C,u1_struct_0(A),u1_struct_0(B))
| ~ v3_lattice3(A)
| ~ v3_lattice3(B)
| ~ v17_waybel_0(C,A,B)
| ! [D] :
( ~ v1_funct_1(D)
| ~ v1_funct_2(D,u1_struct_0(B),u1_struct_0(A))
| ~ m2_relset_1(D,u1_struct_0(B),u1_struct_0(A))
| ( D = k1_waybel34(A,B,C)
<=> v3_waybel_1(k1_waybel_1(A,B,C,D),A,B) ) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f45]) ).
fof(f322,plain,
! [A] :
( ~ v2_orders_2(A)
| ~ v3_orders_2(A)
| ~ v4_orders_2(A)
| ~ v1_lattice3(A)
| ~ v2_lattice3(A)
| ~ l1_orders_2(A)
| ! [B] :
( ~ v2_orders_2(B)
| ~ v3_orders_2(B)
| ~ v4_orders_2(B)
| ~ v1_lattice3(B)
| ~ v2_lattice3(B)
| ~ l1_orders_2(B)
| ! [C] :
( ~ v1_funct_1(C)
| ~ v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
| ~ m2_relset_1(C,u1_struct_0(A),u1_struct_0(B))
| ~ v3_lattice3(A)
| ~ v3_lattice3(B)
| ~ v17_waybel_0(C,A,B)
| ! [D] :
( ~ v1_funct_1(D)
| ~ v1_funct_2(D,u1_struct_0(B),u1_struct_0(A))
| ~ m2_relset_1(D,u1_struct_0(B),u1_struct_0(A))
| ( ( D != k1_waybel34(A,B,C)
| v3_waybel_1(k1_waybel_1(A,B,C,D),A,B) )
& ( D = k1_waybel34(A,B,C)
| ~ v3_waybel_1(k1_waybel_1(A,B,C,D),A,B) ) ) ) ) ) ),
inference(NNF_transformation,[status(esa)],[f321]) ).
fof(f323,plain,
! [X0,X1,X2,X3] :
( ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v3_lattice3(X0)
| ~ v3_lattice3(X1)
| ~ v17_waybel_0(X2,X0,X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| X3 != k1_waybel34(X0,X1,X2)
| v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1) ),
inference(cnf_transformation,[status(esa)],[f322]) ).
fof(f326,plain,
! [A] :
( v3_struct_0(A)
| ~ l1_orders_2(A)
| ! [B] :
( ~ m1_subset_1(B,u1_struct_0(A))
| ! [C] :
( r3_waybel_1(A,B,C)
<=> ( r2_yellow_0(A,C)
& B = k2_yellow_0(A,C)
& r2_hidden(k2_yellow_0(A,C),C) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f47]) ).
fof(f327,plain,
! [A] :
( v3_struct_0(A)
| ~ l1_orders_2(A)
| ! [B] :
( ~ m1_subset_1(B,u1_struct_0(A))
| ! [C] :
( ( ~ r3_waybel_1(A,B,C)
| ( r2_yellow_0(A,C)
& B = k2_yellow_0(A,C)
& r2_hidden(k2_yellow_0(A,C),C) ) )
& ( r3_waybel_1(A,B,C)
| ~ r2_yellow_0(A,C)
| B != k2_yellow_0(A,C)
| ~ r2_hidden(k2_yellow_0(A,C),C) ) ) ) ),
inference(NNF_transformation,[status(esa)],[f326]) ).
fof(f328,plain,
! [A] :
( v3_struct_0(A)
| ~ l1_orders_2(A)
| ! [B] :
( ~ m1_subset_1(B,u1_struct_0(A))
| ( ! [C] :
( ~ r3_waybel_1(A,B,C)
| ( r2_yellow_0(A,C)
& B = k2_yellow_0(A,C)
& r2_hidden(k2_yellow_0(A,C),C) ) )
& ! [C] :
( r3_waybel_1(A,B,C)
| ~ r2_yellow_0(A,C)
| B != k2_yellow_0(A,C)
| ~ r2_hidden(k2_yellow_0(A,C),C) ) ) ) ),
inference(miniscoping,[status(esa)],[f327]) ).
fof(f330,plain,
! [X0,X1,X2] :
( v3_struct_0(X0)
| ~ l1_orders_2(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r3_waybel_1(X0,X1,X2)
| X1 = k2_yellow_0(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f328]) ).
fof(f335,plain,
! [A,B,C] :
( ~ v2_orders_2(A)
| ~ v3_orders_2(A)
| ~ v4_orders_2(A)
| ~ v1_lattice3(A)
| ~ v2_lattice3(A)
| ~ l1_orders_2(A)
| ~ v2_orders_2(B)
| ~ v3_orders_2(B)
| ~ v4_orders_2(B)
| ~ v1_lattice3(B)
| ~ v2_lattice3(B)
| ~ l1_orders_2(B)
| ~ v1_funct_1(C)
| ~ v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
| ~ m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))
| ( v1_funct_1(k1_waybel34(A,B,C))
& v1_funct_2(k1_waybel34(A,B,C),u1_struct_0(B),u1_struct_0(A))
& m2_relset_1(k1_waybel34(A,B,C),u1_struct_0(B),u1_struct_0(A)) ) ),
inference(pre_NNF_transformation,[status(esa)],[f52]) ).
fof(f336,plain,
! [X0,X1,X2] :
( ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v1_funct_1(k1_waybel34(X0,X1,X2)) ),
inference(cnf_transformation,[status(esa)],[f335]) ).
fof(f337,plain,
! [X0,X1,X2] :
( ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v1_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0)) ),
inference(cnf_transformation,[status(esa)],[f335]) ).
fof(f338,plain,
! [X0,X1,X2] :
( ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| m2_relset_1(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0)) ),
inference(cnf_transformation,[status(esa)],[f335]) ).
fof(f351,plain,
! [A,B,C,D] :
( v1_xboole_0(A)
| v3_struct_0(B)
| ~ l1_struct_0(B)
| ~ v1_funct_1(C)
| ~ v1_funct_2(C,A,u1_struct_0(B))
| ~ m1_relset_1(C,A,u1_struct_0(B))
| ~ m1_subset_1(D,A)
| m1_subset_1(k7_yellow_2(A,B,C,D),u1_struct_0(B)) ),
inference(pre_NNF_transformation,[status(esa)],[f63]) ).
fof(f352,plain,
! [X0,X1,X2,X3] :
( v1_xboole_0(X0)
| v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,u1_struct_0(X1))
| ~ m1_relset_1(X2,X0,u1_struct_0(X1))
| ~ m1_subset_1(X3,X0)
| m1_subset_1(k7_yellow_2(X0,X1,X2,X3),u1_struct_0(X1)) ),
inference(cnf_transformation,[status(esa)],[f351]) ).
fof(f353,plain,
! [A] :
( ~ l1_orders_2(A)
| l1_struct_0(A) ),
inference(pre_NNF_transformation,[status(esa)],[f64]) ).
fof(f354,plain,
! [X0] :
( ~ l1_orders_2(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[status(esa)],[f353]) ).
fof(f416,plain,
! [A] :
( v3_struct_0(A)
| ~ l1_struct_0(A)
| ~ v1_xboole_0(u1_struct_0(A)) ),
inference(pre_NNF_transformation,[status(esa)],[f90]) ).
fof(f417,plain,
! [X0] :
( v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(cnf_transformation,[status(esa)],[f416]) ).
fof(f438,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[status(esa)],[f95]) ).
fof(f565,plain,
! [A,B,C] :
( ( ~ m2_relset_1(C,A,B)
| m1_relset_1(C,A,B) )
& ( m2_relset_1(C,A,B)
| ~ m1_relset_1(C,A,B) ) ),
inference(NNF_transformation,[status(esa)],[f121]) ).
fof(f566,plain,
( ! [A,B,C] :
( ~ m2_relset_1(C,A,B)
| m1_relset_1(C,A,B) )
& ! [A,B,C] :
( m2_relset_1(C,A,B)
| ~ m1_relset_1(C,A,B) ) ),
inference(miniscoping,[status(esa)],[f565]) ).
fof(f567,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X0,X1,X2)
| m1_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f566]) ).
fof(f571,plain,
! [A] :
( v3_struct_0(A)
| ~ v2_orders_2(A)
| ~ v3_orders_2(A)
| ~ v4_orders_2(A)
| ~ l1_orders_2(A)
| ! [B] :
( v3_struct_0(B)
| ~ v2_orders_2(B)
| ~ v3_orders_2(B)
| ~ v4_orders_2(B)
| ~ l1_orders_2(B)
| ! [C] :
( ~ v1_funct_1(C)
| ~ v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
| ~ m2_relset_1(C,u1_struct_0(A),u1_struct_0(B))
| ! [D] :
( ~ v1_funct_1(D)
| ~ v1_funct_2(D,u1_struct_0(B),u1_struct_0(A))
| ~ m2_relset_1(D,u1_struct_0(B),u1_struct_0(A))
| ( v3_waybel_1(k1_waybel_1(A,B,C,D),A,B)
<=> ( v5_orders_3(C,A,B)
& ! [E] :
( ~ m1_subset_1(E,u1_struct_0(B))
| r3_waybel_1(A,k7_yellow_2(u1_struct_0(B),A,D,E),k5_pre_topc(A,B,C,k7_waybel_0(B,E))) ) ) ) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f123]) ).
fof(f572,plain,
! [A] :
( v3_struct_0(A)
| ~ v2_orders_2(A)
| ~ v3_orders_2(A)
| ~ v4_orders_2(A)
| ~ l1_orders_2(A)
| ! [B] :
( v3_struct_0(B)
| ~ v2_orders_2(B)
| ~ v3_orders_2(B)
| ~ v4_orders_2(B)
| ~ l1_orders_2(B)
| ! [C] :
( ~ v1_funct_1(C)
| ~ v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
| ~ m2_relset_1(C,u1_struct_0(A),u1_struct_0(B))
| ! [D] :
( ~ v1_funct_1(D)
| ~ v1_funct_2(D,u1_struct_0(B),u1_struct_0(A))
| ~ m2_relset_1(D,u1_struct_0(B),u1_struct_0(A))
| ( ( ~ v3_waybel_1(k1_waybel_1(A,B,C,D),A,B)
| ( v5_orders_3(C,A,B)
& ! [E] :
( ~ m1_subset_1(E,u1_struct_0(B))
| r3_waybel_1(A,k7_yellow_2(u1_struct_0(B),A,D,E),k5_pre_topc(A,B,C,k7_waybel_0(B,E))) ) ) )
& ( v3_waybel_1(k1_waybel_1(A,B,C,D),A,B)
| ~ v5_orders_3(C,A,B)
| ? [E] :
( m1_subset_1(E,u1_struct_0(B))
& ~ r3_waybel_1(A,k7_yellow_2(u1_struct_0(B),A,D,E),k5_pre_topc(A,B,C,k7_waybel_0(B,E))) ) ) ) ) ) ) ),
inference(NNF_transformation,[status(esa)],[f571]) ).
fof(f573,plain,
! [A] :
( v3_struct_0(A)
| ~ v2_orders_2(A)
| ~ v3_orders_2(A)
| ~ v4_orders_2(A)
| ~ l1_orders_2(A)
| ! [B] :
( v3_struct_0(B)
| ~ v2_orders_2(B)
| ~ v3_orders_2(B)
| ~ v4_orders_2(B)
| ~ l1_orders_2(B)
| ! [C] :
( ~ v1_funct_1(C)
| ~ v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
| ~ m2_relset_1(C,u1_struct_0(A),u1_struct_0(B))
| ! [D] :
( ~ v1_funct_1(D)
| ~ v1_funct_2(D,u1_struct_0(B),u1_struct_0(A))
| ~ m2_relset_1(D,u1_struct_0(B),u1_struct_0(A))
| ( ( ~ v3_waybel_1(k1_waybel_1(A,B,C,D),A,B)
| ( v5_orders_3(C,A,B)
& ! [E] :
( ~ m1_subset_1(E,u1_struct_0(B))
| r3_waybel_1(A,k7_yellow_2(u1_struct_0(B),A,D,E),k5_pre_topc(A,B,C,k7_waybel_0(B,E))) ) ) )
& ( v3_waybel_1(k1_waybel_1(A,B,C,D),A,B)
| ~ v5_orders_3(C,A,B)
| ( m1_subset_1(sk0_27(D,C,B,A),u1_struct_0(B))
& ~ r3_waybel_1(A,k7_yellow_2(u1_struct_0(B),A,D,sk0_27(D,C,B,A)),k5_pre_topc(A,B,C,k7_waybel_0(B,sk0_27(D,C,B,A)))) ) ) ) ) ) ) ),
inference(skolemization,[status(esa)],[f572]) ).
fof(f575,plain,
! [X0,X1,X2,X3,X4] :
( v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0)
| v3_struct_0(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| r3_waybel_1(X0,k7_yellow_2(u1_struct_0(X1),X0,X3,X4),k5_pre_topc(X0,X1,X2,k7_waybel_0(X1,X4))) ),
inference(cnf_transformation,[status(esa)],[f573]) ).
fof(f592,plain,
! [A] :
( ~ v1_xboole_0(A)
| A = k1_xboole_0 ),
inference(pre_NNF_transformation,[status(esa)],[f129]) ).
fof(f593,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| X0 = k1_xboole_0 ),
inference(cnf_transformation,[status(esa)],[f592]) ).
fof(f600,plain,
! [X0,X1,X2] :
( ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v3_lattice3(X0)
| ~ v3_lattice3(X1)
| ~ v17_waybel_0(X2,X0,X1)
| ~ v1_funct_1(k1_waybel34(X0,X1,X2))
| ~ v1_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
| v3_waybel_1(k1_waybel_1(X0,X1,X2,k1_waybel34(X0,X1,X2)),X0,X1) ),
inference(destructive_equality_resolution,[status(esa)],[f323]) ).
fof(f602,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v3_lattice3(X0)
| v1_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0) ),
inference(resolution,[status(thm)],[f252,f280]) ).
fof(f603,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v3_lattice3(X0)
| v1_lattice3(X0)
| ~ v2_lattice3(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f602]) ).
fof(f617,plain,
( spl0_3
<=> v3_lattice3(sk0_1) ),
introduced(split_symbol_definition) ).
fof(f619,plain,
( ~ v3_lattice3(sk0_1)
| spl0_3 ),
inference(component_clause,[status(thm)],[f617]) ).
fof(f620,plain,
( spl0_4
<=> v1_lattice3(sk0_1) ),
introduced(split_symbol_definition) ).
fof(f623,plain,
( spl0_5
<=> v2_lattice3(sk0_1) ),
introduced(split_symbol_definition) ).
fof(f625,plain,
( ~ v2_lattice3(sk0_1)
| spl0_5 ),
inference(component_clause,[status(thm)],[f623]) ).
fof(f626,plain,
( ~ v3_lattice3(sk0_1)
| v1_lattice3(sk0_1)
| ~ v2_lattice3(sk0_1) ),
inference(resolution,[status(thm)],[f603,f147]) ).
fof(f627,plain,
( ~ spl0_3
| spl0_4
| ~ spl0_5 ),
inference(split_clause,[status(thm)],[f626,f617,f620,f623]) ).
fof(f628,plain,
( spl0_6
<=> v3_lattice3(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f630,plain,
( ~ v3_lattice3(sk0_0)
| spl0_6 ),
inference(component_clause,[status(thm)],[f628]) ).
fof(f631,plain,
( spl0_7
<=> v1_lattice3(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f634,plain,
( spl0_8
<=> v2_lattice3(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f636,plain,
( ~ v2_lattice3(sk0_0)
| spl0_8 ),
inference(component_clause,[status(thm)],[f634]) ).
fof(f637,plain,
( ~ v3_lattice3(sk0_0)
| v1_lattice3(sk0_0)
| ~ v2_lattice3(sk0_0) ),
inference(resolution,[status(thm)],[f603,f140]) ).
fof(f638,plain,
( ~ spl0_6
| spl0_7
| ~ spl0_8 ),
inference(split_clause,[status(thm)],[f637,f628,f631,f634]) ).
fof(f639,plain,
( $false
| spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f636,f138]) ).
fof(f640,plain,
spl0_8,
inference(contradiction_clause,[status(thm)],[f639]) ).
fof(f641,plain,
( $false
| spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f630,f139]) ).
fof(f642,plain,
spl0_6,
inference(contradiction_clause,[status(thm)],[f641]) ).
fof(f643,plain,
( $false
| spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f625,f145]) ).
fof(f644,plain,
spl0_5,
inference(contradiction_clause,[status(thm)],[f643]) ).
fof(f645,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f619,f146]) ).
fof(f646,plain,
spl0_3,
inference(contradiction_clause,[status(thm)],[f645]) ).
fof(f654,plain,
! [X0,X1,X2] :
( ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| v1_funct_1(k1_waybel34(X0,X1,X2))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(resolution,[status(thm)],[f336,f567]) ).
fof(f655,plain,
( spl0_9
<=> v2_orders_2(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f657,plain,
( ~ v2_orders_2(sk0_0)
| spl0_9 ),
inference(component_clause,[status(thm)],[f655]) ).
fof(f658,plain,
( spl0_10
<=> v3_orders_2(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f660,plain,
( ~ v3_orders_2(sk0_0)
| spl0_10 ),
inference(component_clause,[status(thm)],[f658]) ).
fof(f661,plain,
( spl0_11
<=> v4_orders_2(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f663,plain,
( ~ v4_orders_2(sk0_0)
| spl0_11 ),
inference(component_clause,[status(thm)],[f661]) ).
fof(f664,plain,
( spl0_12
<=> l1_orders_2(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f666,plain,
( ~ l1_orders_2(sk0_0)
| spl0_12 ),
inference(component_clause,[status(thm)],[f664]) ).
fof(f667,plain,
( spl0_13
<=> v2_orders_2(sk0_1) ),
introduced(split_symbol_definition) ).
fof(f669,plain,
( ~ v2_orders_2(sk0_1)
| spl0_13 ),
inference(component_clause,[status(thm)],[f667]) ).
fof(f670,plain,
( spl0_14
<=> v3_orders_2(sk0_1) ),
introduced(split_symbol_definition) ).
fof(f672,plain,
( ~ v3_orders_2(sk0_1)
| spl0_14 ),
inference(component_clause,[status(thm)],[f670]) ).
fof(f673,plain,
( spl0_15
<=> v4_orders_2(sk0_1) ),
introduced(split_symbol_definition) ).
fof(f675,plain,
( ~ v4_orders_2(sk0_1)
| spl0_15 ),
inference(component_clause,[status(thm)],[f673]) ).
fof(f676,plain,
( spl0_16
<=> l1_orders_2(sk0_1) ),
introduced(split_symbol_definition) ).
fof(f678,plain,
( ~ l1_orders_2(sk0_1)
| spl0_16 ),
inference(component_clause,[status(thm)],[f676]) ).
fof(f679,plain,
( spl0_17
<=> v1_funct_1(sk0_2) ),
introduced(split_symbol_definition) ).
fof(f681,plain,
( ~ v1_funct_1(sk0_2)
| spl0_17 ),
inference(component_clause,[status(thm)],[f679]) ).
fof(f682,plain,
( spl0_18
<=> v1_funct_2(sk0_2,u1_struct_0(sk0_0),u1_struct_0(sk0_1)) ),
introduced(split_symbol_definition) ).
fof(f684,plain,
( ~ v1_funct_2(sk0_2,u1_struct_0(sk0_0),u1_struct_0(sk0_1))
| spl0_18 ),
inference(component_clause,[status(thm)],[f682]) ).
fof(f685,plain,
( spl0_19
<=> v1_funct_1(k1_waybel34(sk0_0,sk0_1,sk0_2)) ),
introduced(split_symbol_definition) ).
fof(f688,plain,
( ~ v2_orders_2(sk0_0)
| ~ v3_orders_2(sk0_0)
| ~ v4_orders_2(sk0_0)
| ~ v1_lattice3(sk0_0)
| ~ v2_lattice3(sk0_0)
| ~ l1_orders_2(sk0_0)
| ~ v2_orders_2(sk0_1)
| ~ v3_orders_2(sk0_1)
| ~ v4_orders_2(sk0_1)
| ~ v1_lattice3(sk0_1)
| ~ v2_lattice3(sk0_1)
| ~ l1_orders_2(sk0_1)
| ~ v1_funct_1(sk0_2)
| ~ v1_funct_2(sk0_2,u1_struct_0(sk0_0),u1_struct_0(sk0_1))
| v1_funct_1(k1_waybel34(sk0_0,sk0_1,sk0_2)) ),
inference(resolution,[status(thm)],[f654,f151]) ).
fof(f689,plain,
( ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_4
| ~ spl0_5
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| spl0_19 ),
inference(split_clause,[status(thm)],[f688,f655,f658,f661,f631,f634,f664,f667,f670,f673,f620,f623,f676,f679,f682,f685]) ).
fof(f690,plain,
( $false
| spl0_18 ),
inference(forward_subsumption_resolution,[status(thm)],[f684,f149]) ).
fof(f691,plain,
spl0_18,
inference(contradiction_clause,[status(thm)],[f690]) ).
fof(f692,plain,
( $false
| spl0_17 ),
inference(forward_subsumption_resolution,[status(thm)],[f681,f148]) ).
fof(f693,plain,
spl0_17,
inference(contradiction_clause,[status(thm)],[f692]) ).
fof(f694,plain,
( $false
| spl0_16 ),
inference(forward_subsumption_resolution,[status(thm)],[f678,f147]) ).
fof(f695,plain,
spl0_16,
inference(contradiction_clause,[status(thm)],[f694]) ).
fof(f696,plain,
( $false
| spl0_15 ),
inference(forward_subsumption_resolution,[status(thm)],[f675,f143]) ).
fof(f697,plain,
spl0_15,
inference(contradiction_clause,[status(thm)],[f696]) ).
fof(f698,plain,
( $false
| spl0_14 ),
inference(forward_subsumption_resolution,[status(thm)],[f672,f142]) ).
fof(f699,plain,
spl0_14,
inference(contradiction_clause,[status(thm)],[f698]) ).
fof(f700,plain,
( $false
| spl0_13 ),
inference(forward_subsumption_resolution,[status(thm)],[f669,f141]) ).
fof(f701,plain,
spl0_13,
inference(contradiction_clause,[status(thm)],[f700]) ).
fof(f702,plain,
( $false
| spl0_12 ),
inference(forward_subsumption_resolution,[status(thm)],[f666,f140]) ).
fof(f703,plain,
spl0_12,
inference(contradiction_clause,[status(thm)],[f702]) ).
fof(f704,plain,
( $false
| spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f663,f136]) ).
fof(f705,plain,
spl0_11,
inference(contradiction_clause,[status(thm)],[f704]) ).
fof(f706,plain,
( $false
| spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f660,f135]) ).
fof(f707,plain,
spl0_10,
inference(contradiction_clause,[status(thm)],[f706]) ).
fof(f708,plain,
( $false
| spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f657,f134]) ).
fof(f709,plain,
spl0_9,
inference(contradiction_clause,[status(thm)],[f708]) ).
fof(f719,plain,
( spl0_20
<=> v17_waybel_0(sk0_2,sk0_0,sk0_1) ),
introduced(split_symbol_definition) ).
fof(f721,plain,
( ~ v17_waybel_0(sk0_2,sk0_0,sk0_1)
| spl0_20 ),
inference(component_clause,[status(thm)],[f719]) ).
fof(f727,plain,
( $false
| spl0_20 ),
inference(forward_subsumption_resolution,[status(thm)],[f721,f150]) ).
fof(f728,plain,
spl0_20,
inference(contradiction_clause,[status(thm)],[f727]) ).
fof(f735,plain,
! [X0,X1,X2,X3,X4] :
( v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0)
| v3_struct_0(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| ~ m1_subset_1(k7_yellow_2(u1_struct_0(X1),X0,X3,X4),u1_struct_0(X0))
| k7_yellow_2(u1_struct_0(X1),X0,X3,X4) = k2_yellow_0(X0,k5_pre_topc(X0,X1,X2,k7_waybel_0(X1,X4))) ),
inference(resolution,[status(thm)],[f575,f330]) ).
fof(f736,plain,
! [X0,X1,X2,X3,X4] :
( v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0)
| v3_struct_0(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(k7_yellow_2(u1_struct_0(X1),X0,X3,X4),u1_struct_0(X0))
| k7_yellow_2(u1_struct_0(X1),X0,X3,X4) = k2_yellow_0(X0,k5_pre_topc(X0,X1,X2,k7_waybel_0(X1,X4))) ),
inference(duplicate_literals_removal,[status(esa)],[f735]) ).
fof(f737,plain,
( spl0_22
<=> v3_struct_0(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f738,plain,
( v3_struct_0(sk0_0)
| ~ spl0_22 ),
inference(component_clause,[status(thm)],[f737]) ).
fof(f740,plain,
( spl0_23
<=> v3_struct_0(sk0_1) ),
introduced(split_symbol_definition) ).
fof(f741,plain,
( v3_struct_0(sk0_1)
| ~ spl0_23 ),
inference(component_clause,[status(thm)],[f740]) ).
fof(f743,plain,
( spl0_24
<=> m2_relset_1(sk0_2,u1_struct_0(sk0_0),u1_struct_0(sk0_1)) ),
introduced(split_symbol_definition) ).
fof(f745,plain,
( ~ m2_relset_1(sk0_2,u1_struct_0(sk0_0),u1_struct_0(sk0_1))
| spl0_24 ),
inference(component_clause,[status(thm)],[f743]) ).
fof(f746,plain,
( spl0_25
<=> v1_funct_2(k1_waybel34(sk0_0,sk0_1,sk0_2),u1_struct_0(sk0_1),u1_struct_0(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f748,plain,
( ~ v1_funct_2(k1_waybel34(sk0_0,sk0_1,sk0_2),u1_struct_0(sk0_1),u1_struct_0(sk0_0))
| spl0_25 ),
inference(component_clause,[status(thm)],[f746]) ).
fof(f749,plain,
( spl0_26
<=> m2_relset_1(k1_waybel34(sk0_0,sk0_1,sk0_2),u1_struct_0(sk0_1),u1_struct_0(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f751,plain,
( ~ m2_relset_1(k1_waybel34(sk0_0,sk0_1,sk0_2),u1_struct_0(sk0_1),u1_struct_0(sk0_0))
| spl0_26 ),
inference(component_clause,[status(thm)],[f749]) ).
fof(f752,plain,
( spl0_27
<=> v3_waybel_1(k1_waybel_1(sk0_0,sk0_1,sk0_2,k1_waybel34(sk0_0,sk0_1,sk0_2)),sk0_0,sk0_1) ),
introduced(split_symbol_definition) ).
fof(f754,plain,
( ~ v3_waybel_1(k1_waybel_1(sk0_0,sk0_1,sk0_2,k1_waybel34(sk0_0,sk0_1,sk0_2)),sk0_0,sk0_1)
| spl0_27 ),
inference(component_clause,[status(thm)],[f752]) ).
fof(f755,plain,
( spl0_28
<=> m1_subset_1(sk0_3,u1_struct_0(sk0_1)) ),
introduced(split_symbol_definition) ).
fof(f757,plain,
( ~ m1_subset_1(sk0_3,u1_struct_0(sk0_1))
| spl0_28 ),
inference(component_clause,[status(thm)],[f755]) ).
fof(f758,plain,
( spl0_29
<=> m1_subset_1(k7_yellow_2(u1_struct_0(sk0_1),sk0_0,k1_waybel34(sk0_0,sk0_1,sk0_2),sk0_3),u1_struct_0(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f760,plain,
( ~ m1_subset_1(k7_yellow_2(u1_struct_0(sk0_1),sk0_0,k1_waybel34(sk0_0,sk0_1,sk0_2),sk0_3),u1_struct_0(sk0_0))
| spl0_29 ),
inference(component_clause,[status(thm)],[f758]) ).
fof(f761,plain,
( v3_struct_0(sk0_0)
| ~ v2_orders_2(sk0_0)
| ~ v3_orders_2(sk0_0)
| ~ v4_orders_2(sk0_0)
| ~ l1_orders_2(sk0_0)
| v3_struct_0(sk0_1)
| ~ v2_orders_2(sk0_1)
| ~ v3_orders_2(sk0_1)
| ~ v4_orders_2(sk0_1)
| ~ l1_orders_2(sk0_1)
| ~ v1_funct_1(sk0_2)
| ~ v1_funct_2(sk0_2,u1_struct_0(sk0_0),u1_struct_0(sk0_1))
| ~ m2_relset_1(sk0_2,u1_struct_0(sk0_0),u1_struct_0(sk0_1))
| ~ v1_funct_1(k1_waybel34(sk0_0,sk0_1,sk0_2))
| ~ v1_funct_2(k1_waybel34(sk0_0,sk0_1,sk0_2),u1_struct_0(sk0_1),u1_struct_0(sk0_0))
| ~ m2_relset_1(k1_waybel34(sk0_0,sk0_1,sk0_2),u1_struct_0(sk0_1),u1_struct_0(sk0_0))
| ~ v3_waybel_1(k1_waybel_1(sk0_0,sk0_1,sk0_2,k1_waybel34(sk0_0,sk0_1,sk0_2)),sk0_0,sk0_1)
| ~ m1_subset_1(sk0_3,u1_struct_0(sk0_1))
| ~ m1_subset_1(k7_yellow_2(u1_struct_0(sk0_1),sk0_0,k1_waybel34(sk0_0,sk0_1,sk0_2),sk0_3),u1_struct_0(sk0_0)) ),
inference(resolution,[status(thm)],[f736,f153]) ).
fof(f762,plain,
( spl0_22
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| spl0_23
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_24
| ~ spl0_19
| ~ spl0_25
| ~ spl0_26
| ~ spl0_27
| ~ spl0_28
| ~ spl0_29 ),
inference(split_clause,[status(thm)],[f761,f737,f655,f658,f661,f664,f740,f667,f670,f673,f676,f679,f682,f743,f685,f746,f749,f752,f755,f758]) ).
fof(f763,plain,
( $false
| spl0_28 ),
inference(forward_subsumption_resolution,[status(thm)],[f757,f152]) ).
fof(f764,plain,
spl0_28,
inference(contradiction_clause,[status(thm)],[f763]) ).
fof(f765,plain,
( $false
| spl0_24 ),
inference(forward_subsumption_resolution,[status(thm)],[f745,f151]) ).
fof(f766,plain,
spl0_24,
inference(contradiction_clause,[status(thm)],[f765]) ).
fof(f767,plain,
( spl0_30
<=> v1_xboole_0(u1_struct_0(sk0_1)) ),
introduced(split_symbol_definition) ).
fof(f768,plain,
( v1_xboole_0(u1_struct_0(sk0_1))
| ~ spl0_30 ),
inference(component_clause,[status(thm)],[f767]) ).
fof(f770,plain,
( spl0_31
<=> l1_struct_0(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f772,plain,
( ~ l1_struct_0(sk0_0)
| spl0_31 ),
inference(component_clause,[status(thm)],[f770]) ).
fof(f773,plain,
( spl0_32
<=> m1_relset_1(k1_waybel34(sk0_0,sk0_1,sk0_2),u1_struct_0(sk0_1),u1_struct_0(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f775,plain,
( ~ m1_relset_1(k1_waybel34(sk0_0,sk0_1,sk0_2),u1_struct_0(sk0_1),u1_struct_0(sk0_0))
| spl0_32 ),
inference(component_clause,[status(thm)],[f773]) ).
fof(f776,plain,
( v1_xboole_0(u1_struct_0(sk0_1))
| v3_struct_0(sk0_0)
| ~ l1_struct_0(sk0_0)
| ~ v1_funct_1(k1_waybel34(sk0_0,sk0_1,sk0_2))
| ~ v1_funct_2(k1_waybel34(sk0_0,sk0_1,sk0_2),u1_struct_0(sk0_1),u1_struct_0(sk0_0))
| ~ m1_relset_1(k1_waybel34(sk0_0,sk0_1,sk0_2),u1_struct_0(sk0_1),u1_struct_0(sk0_0))
| ~ m1_subset_1(sk0_3,u1_struct_0(sk0_1))
| spl0_29 ),
inference(resolution,[status(thm)],[f760,f352]) ).
fof(f777,plain,
( spl0_30
| spl0_22
| ~ spl0_31
| ~ spl0_19
| ~ spl0_25
| ~ spl0_32
| ~ spl0_28
| spl0_29 ),
inference(split_clause,[status(thm)],[f776,f767,f737,f770,f685,f746,f773,f755,f758]) ).
fof(f778,plain,
( spl0_33
<=> m1_relset_1(sk0_2,u1_struct_0(sk0_0),u1_struct_0(sk0_1)) ),
introduced(split_symbol_definition) ).
fof(f780,plain,
( ~ m1_relset_1(sk0_2,u1_struct_0(sk0_0),u1_struct_0(sk0_1))
| spl0_33 ),
inference(component_clause,[status(thm)],[f778]) ).
fof(f781,plain,
( ~ v2_orders_2(sk0_0)
| ~ v3_orders_2(sk0_0)
| ~ v4_orders_2(sk0_0)
| ~ v1_lattice3(sk0_0)
| ~ v2_lattice3(sk0_0)
| ~ l1_orders_2(sk0_0)
| ~ v2_orders_2(sk0_1)
| ~ v3_orders_2(sk0_1)
| ~ v4_orders_2(sk0_1)
| ~ v1_lattice3(sk0_1)
| ~ v2_lattice3(sk0_1)
| ~ l1_orders_2(sk0_1)
| ~ v1_funct_1(sk0_2)
| ~ v1_funct_2(sk0_2,u1_struct_0(sk0_0),u1_struct_0(sk0_1))
| ~ m1_relset_1(sk0_2,u1_struct_0(sk0_0),u1_struct_0(sk0_1))
| spl0_26 ),
inference(resolution,[status(thm)],[f751,f338]) ).
fof(f782,plain,
( ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_4
| ~ spl0_5
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_33
| spl0_26 ),
inference(split_clause,[status(thm)],[f781,f655,f658,f661,f631,f634,f664,f667,f670,f673,f620,f623,f676,f679,f682,f778,f749]) ).
fof(f886,plain,
( ~ m2_relset_1(sk0_2,u1_struct_0(sk0_0),u1_struct_0(sk0_1))
| spl0_33 ),
inference(resolution,[status(thm)],[f780,f567]) ).
fof(f887,plain,
( ~ spl0_24
| spl0_33 ),
inference(split_clause,[status(thm)],[f886,f743,f778]) ).
fof(f894,plain,
( spl0_54
<=> l1_struct_0(sk0_1) ),
introduced(split_symbol_definition) ).
fof(f896,plain,
( ~ l1_struct_0(sk0_1)
| spl0_54 ),
inference(component_clause,[status(thm)],[f894]) ).
fof(f904,plain,
( ~ v2_orders_2(sk0_0)
| ~ v3_orders_2(sk0_0)
| ~ v4_orders_2(sk0_0)
| ~ v1_lattice3(sk0_0)
| ~ v2_lattice3(sk0_0)
| ~ l1_orders_2(sk0_0)
| ~ v2_orders_2(sk0_1)
| ~ v3_orders_2(sk0_1)
| ~ v4_orders_2(sk0_1)
| ~ v1_lattice3(sk0_1)
| ~ v2_lattice3(sk0_1)
| ~ l1_orders_2(sk0_1)
| ~ v1_funct_1(sk0_2)
| ~ v1_funct_2(sk0_2,u1_struct_0(sk0_0),u1_struct_0(sk0_1))
| ~ m1_relset_1(sk0_2,u1_struct_0(sk0_0),u1_struct_0(sk0_1))
| spl0_25 ),
inference(resolution,[status(thm)],[f748,f337]) ).
fof(f905,plain,
( ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_4
| ~ spl0_5
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_33
| spl0_25 ),
inference(split_clause,[status(thm)],[f904,f655,f658,f661,f631,f634,f664,f667,f670,f673,f620,f623,f676,f679,f682,f778,f746]) ).
fof(f908,plain,
( ~ m2_relset_1(k1_waybel34(sk0_0,sk0_1,sk0_2),u1_struct_0(sk0_1),u1_struct_0(sk0_0))
| spl0_32 ),
inference(resolution,[status(thm)],[f775,f567]) ).
fof(f909,plain,
( ~ spl0_26
| spl0_32 ),
inference(split_clause,[status(thm)],[f908,f749,f773]) ).
fof(f1131,plain,
( ~ l1_orders_2(sk0_1)
| spl0_54 ),
inference(resolution,[status(thm)],[f354,f896]) ).
fof(f1132,plain,
( ~ spl0_16
| spl0_54 ),
inference(split_clause,[status(thm)],[f1131,f676,f894]) ).
fof(f1133,plain,
( ~ l1_orders_2(sk0_0)
| spl0_31 ),
inference(resolution,[status(thm)],[f354,f772]) ).
fof(f1134,plain,
( ~ spl0_12
| spl0_31 ),
inference(split_clause,[status(thm)],[f1133,f664,f770]) ).
fof(f1145,plain,
( ~ l1_orders_2(sk0_0)
| ~ v1_lattice3(sk0_0)
| ~ spl0_22 ),
inference(resolution,[status(thm)],[f738,f232]) ).
fof(f1146,plain,
( ~ spl0_12
| ~ spl0_7
| ~ spl0_22 ),
inference(split_clause,[status(thm)],[f1145,f664,f631,f737]) ).
fof(f1200,plain,
( u1_struct_0(sk0_1) = k1_xboole_0
| ~ spl0_30 ),
inference(resolution,[status(thm)],[f593,f768]) ).
fof(f1657,plain,
( ~ l1_orders_2(sk0_1)
| ~ v1_lattice3(sk0_1)
| ~ spl0_23 ),
inference(resolution,[status(thm)],[f741,f232]) ).
fof(f1658,plain,
( ~ spl0_16
| ~ spl0_4
| ~ spl0_23 ),
inference(split_clause,[status(thm)],[f1657,f676,f620,f740]) ).
fof(f2629,plain,
( spl0_208
<=> v1_xboole_0(k1_xboole_0) ),
introduced(split_symbol_definition) ).
fof(f2631,plain,
( ~ v1_xboole_0(k1_xboole_0)
| spl0_208 ),
inference(component_clause,[status(thm)],[f2629]) ).
fof(f2632,plain,
( v3_struct_0(sk0_1)
| ~ l1_struct_0(sk0_1)
| ~ v1_xboole_0(k1_xboole_0)
| ~ spl0_30 ),
inference(paramodulation,[status(thm)],[f1200,f417]) ).
fof(f2633,plain,
( spl0_23
| ~ spl0_54
| ~ spl0_208
| ~ spl0_30 ),
inference(split_clause,[status(thm)],[f2632,f740,f894,f2629,f767]) ).
fof(f2634,plain,
( $false
| spl0_208 ),
inference(forward_subsumption_resolution,[status(thm)],[f2631,f438]) ).
fof(f2635,plain,
spl0_208,
inference(contradiction_clause,[status(thm)],[f2634]) ).
fof(f4356,plain,
! [X0,X1,X2] :
( ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v3_lattice3(X0)
| ~ v3_lattice3(X1)
| ~ v17_waybel_0(X2,X0,X1)
| ~ v1_funct_1(k1_waybel34(X0,X1,X2))
| ~ v1_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
| v3_waybel_1(k1_waybel_1(X0,X1,X2,k1_waybel34(X0,X1,X2)),X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f600,f603]) ).
fof(f4357,plain,
( ~ v2_orders_2(sk0_0)
| ~ v3_orders_2(sk0_0)
| ~ v4_orders_2(sk0_0)
| ~ v2_lattice3(sk0_0)
| ~ l1_orders_2(sk0_0)
| ~ v2_orders_2(sk0_1)
| ~ v3_orders_2(sk0_1)
| ~ v4_orders_2(sk0_1)
| ~ v1_lattice3(sk0_1)
| ~ v2_lattice3(sk0_1)
| ~ l1_orders_2(sk0_1)
| ~ v1_funct_1(sk0_2)
| ~ v1_funct_2(sk0_2,u1_struct_0(sk0_0),u1_struct_0(sk0_1))
| ~ m2_relset_1(sk0_2,u1_struct_0(sk0_0),u1_struct_0(sk0_1))
| ~ v3_lattice3(sk0_0)
| ~ v3_lattice3(sk0_1)
| ~ v17_waybel_0(sk0_2,sk0_0,sk0_1)
| ~ v1_funct_1(k1_waybel34(sk0_0,sk0_1,sk0_2))
| ~ v1_funct_2(k1_waybel34(sk0_0,sk0_1,sk0_2),u1_struct_0(sk0_1),u1_struct_0(sk0_0))
| ~ m2_relset_1(k1_waybel34(sk0_0,sk0_1,sk0_2),u1_struct_0(sk0_1),u1_struct_0(sk0_0))
| spl0_27 ),
inference(resolution,[status(thm)],[f4356,f754]) ).
fof(f4358,plain,
( ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_4
| ~ spl0_5
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_24
| ~ spl0_6
| ~ spl0_3
| ~ spl0_20
| ~ spl0_19
| ~ spl0_25
| ~ spl0_26
| spl0_27 ),
inference(split_clause,[status(thm)],[f4357,f655,f658,f661,f634,f664,f667,f670,f673,f620,f623,f676,f679,f682,f743,f628,f617,f719,f685,f746,f749,f752]) ).
fof(f4367,plain,
$false,
inference(sat_refutation,[status(thm)],[f627,f638,f640,f642,f644,f646,f689,f691,f693,f695,f697,f699,f701,f703,f705,f707,f709,f728,f762,f764,f766,f777,f782,f887,f905,f909,f1132,f1134,f1146,f1658,f2633,f2635,f4358]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LAT352+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.32 % Computer : n019.cluster.edu
% 0.09/0.32 % Model : x86_64 x86_64
% 0.09/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.32 % Memory : 8042.1875MB
% 0.09/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.32 % CPULimit : 300
% 0.09/0.32 % WCLimit : 300
% 0.09/0.32 % DateTime : Tue May 30 09:30:55 EDT 2023
% 0.09/0.32 % CPUTime :
% 0.09/0.33 % Drodi V3.5.1
% 1.72/0.62 % Refutation found
% 1.72/0.62 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.72/0.62 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.90/0.65 % Elapsed time: 0.324990 seconds
% 1.90/0.65 % CPU time: 1.959366 seconds
% 1.90/0.65 % Memory used: 89.445 MB
%------------------------------------------------------------------------------