TSTP Solution File: LAT356+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LAT356+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n016.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 12:17:45 EDT 2023
% Result : Theorem 2.81s 0.77s
% Output : CNFRefutation 2.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 26
% Syntax : Number of formulae : 107 ( 20 unt; 0 def)
% Number of atoms : 534 ( 24 equ)
% Maximal formula atoms : 25 ( 4 avg)
% Number of connectives : 692 ( 265 ~; 272 |; 114 &)
% ( 20 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 47 ( 45 usr; 17 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-4 aty)
% Number of variables : 58 (; 57 !; 1 ?)
% 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) )
=> ( k1_waybel34(A,A,k7_grcat_1(A)) = k7_grcat_1(A)
& k2_waybel34(A,A,k7_grcat_1(A)) = k7_grcat_1(A) ) ),
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) )
=> ( k1_waybel34(A,A,k7_grcat_1(A)) = k7_grcat_1(A)
& k2_waybel34(A,A,k7_grcat_1(A)) = k7_grcat_1(A) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f29,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(f34,axiom,
! [A] :
( l1_orders_2(A)
=> ( v2_lattice3(A)
=> ~ v3_struct_0(A) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f49,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(f50,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(B),u1_struct_0(A))
& m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) )
=> ( ( v3_lattice3(A)
& v3_lattice3(B)
& v18_waybel_0(C,B,A) )
=> ! [D] :
( ( v1_funct_1(D)
& v1_funct_2(D,u1_struct_0(A),u1_struct_0(B))
& m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) )
=> ( D = k2_waybel34(A,B,C)
<=> v3_waybel_1(k1_waybel_1(A,B,D,C),A,B) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f61,axiom,
! [A] :
( l1_struct_0(A)
=> ( v1_funct_1(k7_grcat_1(A))
& v1_funct_2(k7_grcat_1(A),u1_struct_0(A),u1_struct_0(A))
& m2_relset_1(k7_grcat_1(A),u1_struct_0(A),u1_struct_0(A)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f62,axiom,
! [A] :
( l1_orders_2(A)
=> l1_struct_0(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f89,axiom,
! [A] :
( l1_orders_2(A)
=> ( v1_relat_1(k7_grcat_1(A))
& v1_funct_1(k7_grcat_1(A))
& v1_funct_2(k7_grcat_1(A),u1_struct_0(A),u1_struct_0(A))
& v23_waybel_0(k7_grcat_1(A),A,A) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f93,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v2_orders_2(A)
& l1_orders_2(A) )
=> ( v1_relat_1(k7_grcat_1(A))
& v1_funct_1(k7_grcat_1(A))
& v2_funct_1(k7_grcat_1(A))
& ~ v1_xboole_0(k7_grcat_1(A))
& v1_funct_2(k7_grcat_1(A),u1_struct_0(A),u1_struct_0(A))
& v1_partfun1(k7_grcat_1(A),u1_struct_0(A),u1_struct_0(A))
& v11_quantal1(k7_grcat_1(A))
& v5_orders_3(k7_grcat_1(A),A,A)
& v17_waybel_0(k7_grcat_1(A),A,A)
& v18_waybel_0(k7_grcat_1(A),A,A)
& v19_waybel_0(k7_grcat_1(A),A,A)
& v20_waybel_0(k7_grcat_1(A),A,A)
& v21_waybel_0(k7_grcat_1(A),A,A)
& v22_waybel_0(k7_grcat_1(A),A,A)
& v23_waybel_0(k7_grcat_1(A),A,A)
& v6_waybel_1(k7_grcat_1(A),A)
& v7_waybel_1(k7_grcat_1(A),A)
& v8_waybel_1(k7_grcat_1(A),A) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f129,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l1_orders_2(A) )
=> v3_waybel_1(k1_waybel_1(A,A,k7_grcat_1(A),k7_grcat_1(A)),A,A) ),
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)
& ( k1_waybel34(A,A,k7_grcat_1(A)) != k7_grcat_1(A)
| k2_waybel34(A,A,k7_grcat_1(A)) != k7_grcat_1(A) ) ),
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)
& ( k1_waybel34(sk0_0,sk0_0,k7_grcat_1(sk0_0)) != k7_grcat_1(sk0_0)
| k2_waybel34(sk0_0,sk0_0,k7_grcat_1(sk0_0)) != k7_grcat_1(sk0_0) ) ),
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,
( k1_waybel34(sk0_0,sk0_0,k7_grcat_1(sk0_0)) != k7_grcat_1(sk0_0)
| k2_waybel34(sk0_0,sk0_0,k7_grcat_1(sk0_0)) != k7_grcat_1(sk0_0) ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f253,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)],[f29]) ).
fof(f255,plain,
! [X0] :
( ~ l1_orders_2(X0)
| v3_struct_0(X0)
| ~ v3_lattice3(X0)
| v1_lattice3(X0) ),
inference(cnf_transformation,[status(esa)],[f253]) ).
fof(f282,plain,
! [A] :
( ~ l1_orders_2(A)
| ~ v2_lattice3(A)
| ~ v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(esa)],[f34]) ).
fof(f283,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v3_struct_0(X0) ),
inference(cnf_transformation,[status(esa)],[f282]) ).
fof(f339,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)],[f49]) ).
fof(f340,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)],[f339]) ).
fof(f342,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)],[f340]) ).
fof(f343,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(B),u1_struct_0(A))
| ~ m2_relset_1(C,u1_struct_0(B),u1_struct_0(A))
| ~ v3_lattice3(A)
| ~ v3_lattice3(B)
| ~ v18_waybel_0(C,B,A)
| ! [D] :
( ~ v1_funct_1(D)
| ~ v1_funct_2(D,u1_struct_0(A),u1_struct_0(B))
| ~ m2_relset_1(D,u1_struct_0(A),u1_struct_0(B))
| ( D = k2_waybel34(A,B,C)
<=> v3_waybel_1(k1_waybel_1(A,B,D,C),A,B) ) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f50]) ).
fof(f344,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(B),u1_struct_0(A))
| ~ m2_relset_1(C,u1_struct_0(B),u1_struct_0(A))
| ~ v3_lattice3(A)
| ~ v3_lattice3(B)
| ~ v18_waybel_0(C,B,A)
| ! [D] :
( ~ v1_funct_1(D)
| ~ v1_funct_2(D,u1_struct_0(A),u1_struct_0(B))
| ~ m2_relset_1(D,u1_struct_0(A),u1_struct_0(B))
| ( ( D != k2_waybel34(A,B,C)
| v3_waybel_1(k1_waybel_1(A,B,D,C),A,B) )
& ( D = k2_waybel34(A,B,C)
| ~ v3_waybel_1(k1_waybel_1(A,B,D,C),A,B) ) ) ) ) ) ),
inference(NNF_transformation,[status(esa)],[f343]) ).
fof(f346,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(X1),u1_struct_0(X0))
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v3_lattice3(X0)
| ~ v3_lattice3(X1)
| ~ v18_waybel_0(X2,X1,X0)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
| X3 = k2_waybel34(X0,X1,X2)
| ~ v3_waybel_1(k1_waybel_1(X0,X1,X3,X2),X0,X1) ),
inference(cnf_transformation,[status(esa)],[f344]) ).
fof(f358,plain,
! [A] :
( ~ l1_struct_0(A)
| ( v1_funct_1(k7_grcat_1(A))
& v1_funct_2(k7_grcat_1(A),u1_struct_0(A),u1_struct_0(A))
& m2_relset_1(k7_grcat_1(A),u1_struct_0(A),u1_struct_0(A)) ) ),
inference(pre_NNF_transformation,[status(esa)],[f61]) ).
fof(f361,plain,
! [X0] :
( ~ l1_struct_0(X0)
| m2_relset_1(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[status(esa)],[f358]) ).
fof(f362,plain,
! [A] :
( ~ l1_orders_2(A)
| l1_struct_0(A) ),
inference(pre_NNF_transformation,[status(esa)],[f62]) ).
fof(f363,plain,
! [X0] :
( ~ l1_orders_2(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[status(esa)],[f362]) ).
fof(f445,plain,
! [A] :
( ~ l1_orders_2(A)
| ( v1_relat_1(k7_grcat_1(A))
& v1_funct_1(k7_grcat_1(A))
& v1_funct_2(k7_grcat_1(A),u1_struct_0(A),u1_struct_0(A))
& v23_waybel_0(k7_grcat_1(A),A,A) ) ),
inference(pre_NNF_transformation,[status(esa)],[f89]) ).
fof(f447,plain,
! [X0] :
( ~ l1_orders_2(X0)
| v1_funct_1(k7_grcat_1(X0)) ),
inference(cnf_transformation,[status(esa)],[f445]) ).
fof(f448,plain,
! [X0] :
( ~ l1_orders_2(X0)
| v1_funct_2(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[status(esa)],[f445]) ).
fof(f468,plain,
! [A] :
( v3_struct_0(A)
| ~ v2_orders_2(A)
| ~ l1_orders_2(A)
| ( v1_relat_1(k7_grcat_1(A))
& v1_funct_1(k7_grcat_1(A))
& v2_funct_1(k7_grcat_1(A))
& ~ v1_xboole_0(k7_grcat_1(A))
& v1_funct_2(k7_grcat_1(A),u1_struct_0(A),u1_struct_0(A))
& v1_partfun1(k7_grcat_1(A),u1_struct_0(A),u1_struct_0(A))
& v11_quantal1(k7_grcat_1(A))
& v5_orders_3(k7_grcat_1(A),A,A)
& v17_waybel_0(k7_grcat_1(A),A,A)
& v18_waybel_0(k7_grcat_1(A),A,A)
& v19_waybel_0(k7_grcat_1(A),A,A)
& v20_waybel_0(k7_grcat_1(A),A,A)
& v21_waybel_0(k7_grcat_1(A),A,A)
& v22_waybel_0(k7_grcat_1(A),A,A)
& v23_waybel_0(k7_grcat_1(A),A,A)
& v6_waybel_1(k7_grcat_1(A),A)
& v7_waybel_1(k7_grcat_1(A),A)
& v8_waybel_1(k7_grcat_1(A),A) ) ),
inference(pre_NNF_transformation,[status(esa)],[f93]) ).
fof(f477,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0)
| v17_waybel_0(k7_grcat_1(X0),X0,X0) ),
inference(cnf_transformation,[status(esa)],[f468]) ).
fof(f478,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0)
| v18_waybel_0(k7_grcat_1(X0),X0,X0) ),
inference(cnf_transformation,[status(esa)],[f468]) ).
fof(f693,plain,
! [A] :
( v3_struct_0(A)
| ~ l1_orders_2(A)
| v3_waybel_1(k1_waybel_1(A,A,k7_grcat_1(A),k7_grcat_1(A)),A,A) ),
inference(pre_NNF_transformation,[status(esa)],[f129]) ).
fof(f694,plain,
! [X0] :
( v3_struct_0(X0)
| ~ l1_orders_2(X0)
| v3_waybel_1(k1_waybel_1(X0,X0,k7_grcat_1(X0),k7_grcat_1(X0)),X0,X0) ),
inference(cnf_transformation,[status(esa)],[f693]) ).
fof(f701,plain,
( spl0_0
<=> k1_waybel34(sk0_0,sk0_0,k7_grcat_1(sk0_0)) = k7_grcat_1(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f704,plain,
( spl0_1
<=> k2_waybel34(sk0_0,sk0_0,k7_grcat_1(sk0_0)) = k7_grcat_1(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f707,plain,
( ~ spl0_0
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f141,f701,f704]) ).
fof(f721,plain,
v1_funct_1(k7_grcat_1(sk0_0)),
inference(resolution,[status(thm)],[f447,f140]) ).
fof(f722,plain,
( spl0_2
<=> v3_struct_0(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f723,plain,
( v3_struct_0(sk0_0)
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f722]) ).
fof(f725,plain,
( spl0_3
<=> v3_lattice3(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f727,plain,
( ~ v3_lattice3(sk0_0)
| spl0_3 ),
inference(component_clause,[status(thm)],[f725]) ).
fof(f728,plain,
( spl0_4
<=> v1_lattice3(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f731,plain,
( v3_struct_0(sk0_0)
| ~ v3_lattice3(sk0_0)
| v1_lattice3(sk0_0) ),
inference(resolution,[status(thm)],[f255,f140]) ).
fof(f732,plain,
( spl0_2
| ~ spl0_3
| spl0_4 ),
inference(split_clause,[status(thm)],[f731,f722,f725,f728]) ).
fof(f733,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f727,f139]) ).
fof(f734,plain,
spl0_3,
inference(contradiction_clause,[status(thm)],[f733]) ).
fof(f735,plain,
( spl0_5
<=> v2_lattice3(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f737,plain,
( ~ v2_lattice3(sk0_0)
| spl0_5 ),
inference(component_clause,[status(thm)],[f735]) ).
fof(f740,plain,
v1_funct_2(k7_grcat_1(sk0_0),u1_struct_0(sk0_0),u1_struct_0(sk0_0)),
inference(resolution,[status(thm)],[f448,f140]) ).
fof(f741,plain,
( spl0_6
<=> v2_orders_2(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f743,plain,
( ~ v2_orders_2(sk0_0)
| spl0_6 ),
inference(component_clause,[status(thm)],[f741]) ).
fof(f744,plain,
( spl0_7
<=> v3_orders_2(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f746,plain,
( ~ v3_orders_2(sk0_0)
| spl0_7 ),
inference(component_clause,[status(thm)],[f744]) ).
fof(f747,plain,
( spl0_8
<=> v4_orders_2(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f749,plain,
( ~ v4_orders_2(sk0_0)
| spl0_8 ),
inference(component_clause,[status(thm)],[f747]) ).
fof(f750,plain,
( spl0_9
<=> l1_orders_2(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f752,plain,
( ~ l1_orders_2(sk0_0)
| spl0_9 ),
inference(component_clause,[status(thm)],[f750]) ).
fof(f753,plain,
( spl0_10
<=> v1_funct_1(k7_grcat_1(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f755,plain,
( ~ v1_funct_1(k7_grcat_1(sk0_0))
| spl0_10 ),
inference(component_clause,[status(thm)],[f753]) ).
fof(f811,plain,
l1_struct_0(sk0_0),
inference(resolution,[status(thm)],[f363,f140]) ).
fof(f838,plain,
( $false
| spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f755,f721]) ).
fof(f839,plain,
spl0_10,
inference(contradiction_clause,[status(thm)],[f838]) ).
fof(f840,plain,
( $false
| spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f752,f140]) ).
fof(f841,plain,
spl0_9,
inference(contradiction_clause,[status(thm)],[f840]) ).
fof(f842,plain,
( $false
| spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f749,f136]) ).
fof(f843,plain,
spl0_8,
inference(contradiction_clause,[status(thm)],[f842]) ).
fof(f844,plain,
( $false
| spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f746,f135]) ).
fof(f845,plain,
spl0_7,
inference(contradiction_clause,[status(thm)],[f844]) ).
fof(f846,plain,
( $false
| spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f743,f134]) ).
fof(f847,plain,
spl0_6,
inference(contradiction_clause,[status(thm)],[f846]) ).
fof(f863,plain,
( ~ l1_orders_2(sk0_0)
| ~ v2_lattice3(sk0_0)
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f723,f283]) ).
fof(f864,plain,
( ~ spl0_9
| ~ spl0_5
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f863,f750,f735,f722]) ).
fof(f977,plain,
( spl0_54
<=> v17_waybel_0(k7_grcat_1(sk0_0),sk0_0,sk0_0) ),
introduced(split_symbol_definition) ).
fof(f1046,plain,
( spl0_69
<=> v18_waybel_0(k7_grcat_1(sk0_0),sk0_0,sk0_0) ),
introduced(split_symbol_definition) ).
fof(f1103,plain,
m2_relset_1(k7_grcat_1(sk0_0),u1_struct_0(sk0_0),u1_struct_0(sk0_0)),
inference(resolution,[status(thm)],[f361,f811]) ).
fof(f1111,plain,
( v3_struct_0(sk0_0)
| ~ v2_orders_2(sk0_0)
| v17_waybel_0(k7_grcat_1(sk0_0),sk0_0,sk0_0) ),
inference(resolution,[status(thm)],[f477,f140]) ).
fof(f1112,plain,
( spl0_2
| ~ spl0_6
| spl0_54 ),
inference(split_clause,[status(thm)],[f1111,f722,f741,f977]) ).
fof(f1117,plain,
( v3_struct_0(sk0_0)
| ~ v2_orders_2(sk0_0)
| v18_waybel_0(k7_grcat_1(sk0_0),sk0_0,sk0_0) ),
inference(resolution,[status(thm)],[f478,f140]) ).
fof(f1118,plain,
( spl0_2
| ~ spl0_6
| spl0_69 ),
inference(split_clause,[status(thm)],[f1117,f722,f741,f1046]) ).
fof(f1144,plain,
( spl0_85
<=> v3_waybel_1(k1_waybel_1(sk0_0,sk0_0,k7_grcat_1(sk0_0),k7_grcat_1(sk0_0)),sk0_0,sk0_0) ),
introduced(split_symbol_definition) ).
fof(f1145,plain,
( v3_waybel_1(k1_waybel_1(sk0_0,sk0_0,k7_grcat_1(sk0_0),k7_grcat_1(sk0_0)),sk0_0,sk0_0)
| ~ spl0_85 ),
inference(component_clause,[status(thm)],[f1144]) ).
fof(f1147,plain,
( v3_struct_0(sk0_0)
| v3_waybel_1(k1_waybel_1(sk0_0,sk0_0,k7_grcat_1(sk0_0),k7_grcat_1(sk0_0)),sk0_0,sk0_0) ),
inference(resolution,[status(thm)],[f694,f140]) ).
fof(f1148,plain,
( spl0_2
| spl0_85 ),
inference(split_clause,[status(thm)],[f1147,f722,f1144]) ).
fof(f6299,plain,
( spl0_509
<=> v1_funct_2(k7_grcat_1(sk0_0),u1_struct_0(sk0_0),u1_struct_0(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f6301,plain,
( ~ v1_funct_2(k7_grcat_1(sk0_0),u1_struct_0(sk0_0),u1_struct_0(sk0_0))
| spl0_509 ),
inference(component_clause,[status(thm)],[f6299]) ).
fof(f6302,plain,
( spl0_510
<=> m2_relset_1(k7_grcat_1(sk0_0),u1_struct_0(sk0_0),u1_struct_0(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f6304,plain,
( ~ m2_relset_1(k7_grcat_1(sk0_0),u1_struct_0(sk0_0),u1_struct_0(sk0_0))
| spl0_510 ),
inference(component_clause,[status(thm)],[f6302]) ).
fof(f6305,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_0)
| ~ v3_orders_2(sk0_0)
| ~ v4_orders_2(sk0_0)
| ~ v1_lattice3(sk0_0)
| ~ v2_lattice3(sk0_0)
| ~ l1_orders_2(sk0_0)
| ~ v1_funct_1(k7_grcat_1(sk0_0))
| ~ v1_funct_2(k7_grcat_1(sk0_0),u1_struct_0(sk0_0),u1_struct_0(sk0_0))
| ~ m2_relset_1(k7_grcat_1(sk0_0),u1_struct_0(sk0_0),u1_struct_0(sk0_0))
| ~ v3_lattice3(sk0_0)
| ~ v3_lattice3(sk0_0)
| ~ v17_waybel_0(k7_grcat_1(sk0_0),sk0_0,sk0_0)
| ~ v1_funct_1(k7_grcat_1(sk0_0))
| ~ v1_funct_2(k7_grcat_1(sk0_0),u1_struct_0(sk0_0),u1_struct_0(sk0_0))
| ~ m2_relset_1(k7_grcat_1(sk0_0),u1_struct_0(sk0_0),u1_struct_0(sk0_0))
| k7_grcat_1(sk0_0) = k1_waybel34(sk0_0,sk0_0,k7_grcat_1(sk0_0))
| ~ spl0_85 ),
inference(resolution,[status(thm)],[f342,f1145]) ).
fof(f6306,plain,
( ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_10
| ~ spl0_509
| ~ spl0_510
| ~ spl0_3
| ~ spl0_54
| spl0_0
| ~ spl0_85 ),
inference(split_clause,[status(thm)],[f6305,f741,f744,f747,f728,f735,f750,f753,f6299,f6302,f725,f977,f701,f1144]) ).
fof(f6307,plain,
( $false
| spl0_510 ),
inference(forward_subsumption_resolution,[status(thm)],[f6304,f1103]) ).
fof(f6308,plain,
spl0_510,
inference(contradiction_clause,[status(thm)],[f6307]) ).
fof(f6309,plain,
( $false
| spl0_509 ),
inference(forward_subsumption_resolution,[status(thm)],[f6301,f740]) ).
fof(f6310,plain,
spl0_509,
inference(contradiction_clause,[status(thm)],[f6309]) ).
fof(f6483,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_0)
| ~ v3_orders_2(sk0_0)
| ~ v4_orders_2(sk0_0)
| ~ v1_lattice3(sk0_0)
| ~ v2_lattice3(sk0_0)
| ~ l1_orders_2(sk0_0)
| ~ v1_funct_1(k7_grcat_1(sk0_0))
| ~ v1_funct_2(k7_grcat_1(sk0_0),u1_struct_0(sk0_0),u1_struct_0(sk0_0))
| ~ m2_relset_1(k7_grcat_1(sk0_0),u1_struct_0(sk0_0),u1_struct_0(sk0_0))
| ~ v3_lattice3(sk0_0)
| ~ v3_lattice3(sk0_0)
| ~ v18_waybel_0(k7_grcat_1(sk0_0),sk0_0,sk0_0)
| ~ v1_funct_1(k7_grcat_1(sk0_0))
| ~ v1_funct_2(k7_grcat_1(sk0_0),u1_struct_0(sk0_0),u1_struct_0(sk0_0))
| ~ m2_relset_1(k7_grcat_1(sk0_0),u1_struct_0(sk0_0),u1_struct_0(sk0_0))
| k7_grcat_1(sk0_0) = k2_waybel34(sk0_0,sk0_0,k7_grcat_1(sk0_0))
| ~ spl0_85 ),
inference(resolution,[status(thm)],[f346,f1145]) ).
fof(f6484,plain,
( ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_10
| ~ spl0_509
| ~ spl0_510
| ~ spl0_3
| ~ spl0_69
| spl0_1
| ~ spl0_85 ),
inference(split_clause,[status(thm)],[f6483,f741,f744,f747,f728,f735,f750,f753,f6299,f6302,f725,f1046,f704,f1144]) ).
fof(f6503,plain,
( $false
| spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f737,f138]) ).
fof(f6504,plain,
spl0_5,
inference(contradiction_clause,[status(thm)],[f6503]) ).
fof(f6505,plain,
$false,
inference(sat_refutation,[status(thm)],[f707,f732,f734,f839,f841,f843,f845,f847,f864,f1112,f1118,f1148,f6306,f6308,f6310,f6484,f6504]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12 % Problem : LAT356+1 : TPTP v8.1.2. Released v3.4.0.
% 0.05/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.32 % Computer : n016.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 09:56:59 EDT 2023
% 0.09/0.33 % CPUTime :
% 0.09/0.34 % Drodi V3.5.1
% 2.81/0.77 % Refutation found
% 2.81/0.77 % SZS status Theorem for theBenchmark: Theorem is valid
% 2.81/0.77 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.81/0.79 % Elapsed time: 0.462958 seconds
% 2.81/0.79 % CPU time: 2.933540 seconds
% 2.81/0.79 % Memory used: 92.117 MB
%------------------------------------------------------------------------------