%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : LAT356+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.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 08:48:21 AM UTC 2026
% Result : Theorem 202.15s 202.40s
% Output : Proof 202.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 15
% Syntax : Number of formulae : 333 ( 238 unt; 0 def)
% Number of atoms : 925 ( 34 equ)
% Maximal formula atoms : 25 ( 2 avg)
% Number of connectives : 958 ( 366 ~; 347 |; 215 &)
% ( 2 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 33 ( 31 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-4 aty)
% Number of variables : 83 ( 0 sgn 59 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t7_waybel34,conjecture,
! [A] :
( ( l1_orders_2(A)
& v3_lattice3(A)
& v2_lattice3(A)
& v1_lattice3(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A) )
=> ( k2_waybel34(A,A,k7_grcat_1(A)) = k7_grcat_1(A)
& k1_waybel34(A,A,k7_grcat_1(A)) = k7_grcat_1(A) ) ),
file('theBenchmark.p',t7_waybel34) ).
fof(cc10_waybel_0,axiom,
! [A] :
( l1_orders_2(A)
=> ( ( v3_lattice3(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) )
=> ( v25_waybel_0(A)
& v24_waybel_0(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) ) ) ),
file('theBenchmark.p',cc10_waybel_0) ).
fof(cc13_waybel_0,axiom,
! [A] :
( l1_orders_2(A)
=> ( ( v25_waybel_0(A)
& v4_orders_2(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) )
=> ( v2_lattice3(A)
& v4_orders_2(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) ) ) ),
file('theBenchmark.p',cc13_waybel_0) ).
fof(cc1_lattice3,axiom,
! [A] :
( l1_orders_2(A)
=> ( v1_lattice3(A)
=> ~ v3_struct_0(A) ) ),
file('theBenchmark.p',cc1_lattice3) ).
fof(cc1_yellow_0,axiom,
! [A] :
( l1_orders_2(A)
=> ( ( v3_lattice3(A)
& ~ v3_struct_0(A) )
=> ( v2_lattice3(A)
& v1_lattice3(A)
& ~ v3_struct_0(A) ) ) ),
file('theBenchmark.p',cc1_yellow_0) ).
fof(cc2_lattice3,axiom,
! [A] :
( l1_orders_2(A)
=> ( v2_lattice3(A)
=> ~ v3_struct_0(A) ) ),
file('theBenchmark.p',cc2_lattice3) ).
fof(d1_waybel34,axiom,
! [A] :
( ( l1_orders_2(A)
& v2_lattice3(A)
& v1_lattice3(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A) )
=> ! [B] :
( ( l1_orders_2(B)
& v2_lattice3(B)
& v1_lattice3(B)
& v4_orders_2(B)
& v3_orders_2(B)
& v2_orders_2(B) )
=> ! [C] :
( ( m2_relset_1(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(C) )
=> ( ( v17_waybel_0(C,A,B)
& v3_lattice3(B)
& v3_lattice3(A) )
=> ! [D] :
( ( m2_relset_1(D,u1_struct_0(B),u1_struct_0(A))
& v1_funct_2(D,u1_struct_0(B),u1_struct_0(A))
& v1_funct_1(D) )
=> ( D = k1_waybel34(A,B,C)
<=> v3_waybel_1(k1_waybel_1(A,B,C,D),A,B) ) ) ) ) ) ),
file('theBenchmark.p',d1_waybel34) ).
fof(d2_waybel34,axiom,
! [A] :
( ( l1_orders_2(A)
& v2_lattice3(A)
& v1_lattice3(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A) )
=> ! [B] :
( ( l1_orders_2(B)
& v2_lattice3(B)
& v1_lattice3(B)
& v4_orders_2(B)
& v3_orders_2(B)
& v2_orders_2(B) )
=> ! [C] :
( ( m2_relset_1(C,u1_struct_0(B),u1_struct_0(A))
& v1_funct_2(C,u1_struct_0(B),u1_struct_0(A))
& v1_funct_1(C) )
=> ( ( v18_waybel_0(C,B,A)
& v3_lattice3(B)
& v3_lattice3(A) )
=> ! [D] :
( ( m2_relset_1(D,u1_struct_0(A),u1_struct_0(B))
& v1_funct_2(D,u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(D) )
=> ( D = k2_waybel34(A,B,C)
<=> v3_waybel_1(k1_waybel_1(A,B,D,C),A,B) ) ) ) ) ) ),
file('theBenchmark.p',d2_waybel34) ).
fof(dt_k7_grcat_1,axiom,
! [A] :
( l1_struct_0(A)
=> ( m2_relset_1(k7_grcat_1(A),u1_struct_0(A),u1_struct_0(A))
& v1_funct_2(k7_grcat_1(A),u1_struct_0(A),u1_struct_0(A))
& v1_funct_1(k7_grcat_1(A)) ) ),
file('theBenchmark.p',dt_k7_grcat_1) ).
fof(dt_l1_orders_2,axiom,
! [A] :
( l1_orders_2(A)
=> l1_struct_0(A) ),
file('theBenchmark.p',dt_l1_orders_2) ).
fof(fc3_waybel_1,axiom,
! [A] :
( ( l1_orders_2(A)
& ~ v3_struct_0(A) )
=> ( v6_waybel_1(k7_grcat_1(A),A)
& v23_waybel_0(k7_grcat_1(A),A,A)
& v5_orders_3(k7_grcat_1(A),A,A)
& v1_partfun1(k7_grcat_1(A),u1_struct_0(A),u1_struct_0(A))
& v1_funct_2(k7_grcat_1(A),u1_struct_0(A),u1_struct_0(A))
& ~ v1_xboole_0(k7_grcat_1(A))
& v2_funct_1(k7_grcat_1(A))
& v1_funct_1(k7_grcat_1(A))
& v1_relat_1(k7_grcat_1(A)) ) ),
file('theBenchmark.p',fc3_waybel_1) ).
fof(fc4_waybel10,axiom,
! [A] :
( ( l1_orders_2(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) )
=> ( v8_waybel_1(k7_grcat_1(A),A)
& v7_waybel_1(k7_grcat_1(A),A)
& v6_waybel_1(k7_grcat_1(A),A)
& v23_waybel_0(k7_grcat_1(A),A,A)
& v22_waybel_0(k7_grcat_1(A),A,A)
& v21_waybel_0(k7_grcat_1(A),A,A)
& v20_waybel_0(k7_grcat_1(A),A,A)
& v19_waybel_0(k7_grcat_1(A),A,A)
& v18_waybel_0(k7_grcat_1(A),A,A)
& v17_waybel_0(k7_grcat_1(A),A,A)
& v5_orders_3(k7_grcat_1(A),A,A)
& v11_quantal1(k7_grcat_1(A))
& v1_partfun1(k7_grcat_1(A),u1_struct_0(A),u1_struct_0(A))
& v1_funct_2(k7_grcat_1(A),u1_struct_0(A),u1_struct_0(A))
& ~ v1_xboole_0(k7_grcat_1(A))
& v2_funct_1(k7_grcat_1(A))
& v1_funct_1(k7_grcat_1(A))
& v1_relat_1(k7_grcat_1(A)) ) ),
file('theBenchmark.p',fc4_waybel10) ).
fof(fc4_waybel_1,axiom,
! [A] :
( ( l1_orders_2(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) )
=> ( v7_waybel_1(k7_grcat_1(A),A)
& v6_waybel_1(k7_grcat_1(A),A)
& v23_waybel_0(k7_grcat_1(A),A,A)
& v5_orders_3(k7_grcat_1(A),A,A)
& v1_partfun1(k7_grcat_1(A),u1_struct_0(A),u1_struct_0(A))
& v1_funct_2(k7_grcat_1(A),u1_struct_0(A),u1_struct_0(A))
& ~ v1_xboole_0(k7_grcat_1(A))
& v2_funct_1(k7_grcat_1(A))
& v1_funct_1(k7_grcat_1(A))
& v1_relat_1(k7_grcat_1(A)) ) ),
file('theBenchmark.p',fc4_waybel_1) ).
fof(t6_waybel34,axiom,
! [A] :
( ( l1_orders_2(A)
& ~ v3_struct_0(A) )
=> v3_waybel_1(k1_waybel_1(A,A,k7_grcat_1(A),k7_grcat_1(A)),A,A) ),
file('theBenchmark.p',t6_waybel34) ).
fof(f_1_1,negated_conjecture,
~ ! [A] :
( ( l1_orders_2(A)
& v3_lattice3(A)
& v2_lattice3(A)
& v1_lattice3(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A) )
=> ( k2_waybel34(A,A,k7_grcat_1(A)) = k7_grcat_1(A)
& k1_waybel34(A,A,k7_grcat_1(A)) = k7_grcat_1(A) ) ),
inference(negate,[status(cth)],[t7_waybel34]) ).
fof(f_1_2,negated_conjecture,
? [A] :
( ( k2_waybel34(A,A,k7_grcat_1(A)) != k7_grcat_1(A)
| k1_waybel34(A,A,k7_grcat_1(A)) != k7_grcat_1(A) )
& l1_orders_2(A)
& v3_lattice3(A)
& v2_lattice3(A)
& v1_lattice3(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A) ),
inference(fof_nnf,[status(thm)],[f_1_1]) ).
fof(f_1_3,negated_conjecture,
? [U_0] :
( ( k2_waybel34(U_0,U_0,k7_grcat_1(U_0)) != k7_grcat_1(U_0)
| k1_waybel34(U_0,U_0,k7_grcat_1(U_0)) != k7_grcat_1(U_0) )
& l1_orders_2(U_0)
& v3_lattice3(U_0)
& v2_lattice3(U_0)
& v1_lattice3(U_0)
& v4_orders_2(U_0)
& v3_orders_2(U_0)
& v2_orders_2(U_0) ),
inference(variable_rename,[status(thm)],[f_1_2]) ).
fof(f_1_4,negated_conjecture,
( ( k2_waybel34(sK1,sK1,k7_grcat_1(sK1)) != k7_grcat_1(sK1)
| k1_waybel34(sK1,sK1,k7_grcat_1(sK1)) != k7_grcat_1(sK1) )
& l1_orders_2(sK1)
& v3_lattice3(sK1)
& v2_lattice3(sK1)
& v1_lattice3(sK1)
& v4_orders_2(sK1)
& v3_orders_2(sK1)
& v2_orders_2(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_0,sK1)],[f_1_3]) ).
cnf(f_1_5,negated_conjecture,
v2_orders_2(sK1),
inference(clausify,[status(thm)],[f_1_4]) ).
cnf(f_1_6,negated_conjecture,
v3_orders_2(sK1),
inference(clausify,[status(thm)],[f_1_4]) ).
cnf(f_1_7,negated_conjecture,
v4_orders_2(sK1),
inference(clausify,[status(thm)],[f_1_4]) ).
cnf(f_1_8,negated_conjecture,
v1_lattice3(sK1),
inference(clausify,[status(thm)],[f_1_4]) ).
cnf(f_1_9,negated_conjecture,
v2_lattice3(sK1),
inference(clausify,[status(thm)],[f_1_4]) ).
cnf(f_1_10,negated_conjecture,
v3_lattice3(sK1),
inference(clausify,[status(thm)],[f_1_4]) ).
cnf(f_1_11,negated_conjecture,
l1_orders_2(sK1),
inference(clausify,[status(thm)],[f_1_4]) ).
cnf(f_1_12,negated_conjecture,
( k2_waybel34(sK1,sK1,k7_grcat_1(sK1)) != k7_grcat_1(sK1)
| k1_waybel34(sK1,sK1,k7_grcat_1(sK1)) != k7_grcat_1(sK1) ),
inference(clausify,[status(thm)],[f_1_4]) ).
fof(f_4_1,plain,
! [A] :
( ( v25_waybel_0(A)
& v24_waybel_0(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) )
| ~ v3_lattice3(A)
| ~ v2_orders_2(A)
| v3_struct_0(A)
| ~ l1_orders_2(A) ),
inference(fof_nnf,[status(thm)],[cc10_waybel_0]) ).
fof(f_4_2,plain,
! [U_5] :
( ( v25_waybel_0(U_5)
& v24_waybel_0(U_5)
& v2_orders_2(U_5)
& ~ v3_struct_0(U_5) )
| ~ v3_lattice3(U_5)
| ~ v2_orders_2(U_5)
| v3_struct_0(U_5)
| ~ l1_orders_2(U_5) ),
inference(variable_rename,[status(thm)],[f_4_1]) ).
cnf(f_4_6,plain,
( v25_waybel_0(U_5)
| ~ v3_lattice3(U_5)
| ~ v2_orders_2(U_5)
| v3_struct_0(U_5)
| ~ l1_orders_2(U_5) ),
inference(clausify,[status(thm)],[f_4_2]) ).
fof(f_10_1,plain,
! [A] :
( ( v2_lattice3(A)
& v4_orders_2(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) )
| ~ v25_waybel_0(A)
| ~ v4_orders_2(A)
| ~ v2_orders_2(A)
| v3_struct_0(A)
| ~ l1_orders_2(A) ),
inference(fof_nnf,[status(thm)],[cc13_waybel_0]) ).
fof(f_10_2,plain,
! [U_14] :
( ( v2_lattice3(U_14)
& v4_orders_2(U_14)
& v2_orders_2(U_14)
& ~ v3_struct_0(U_14) )
| ~ v25_waybel_0(U_14)
| ~ v4_orders_2(U_14)
| ~ v2_orders_2(U_14)
| v3_struct_0(U_14)
| ~ l1_orders_2(U_14) ),
inference(variable_rename,[status(thm)],[f_10_1]) ).
cnf(f_10_6,plain,
( v2_lattice3(U_14)
| ~ v25_waybel_0(U_14)
| ~ v4_orders_2(U_14)
| ~ v2_orders_2(U_14)
| v3_struct_0(U_14)
| ~ l1_orders_2(U_14) ),
inference(clausify,[status(thm)],[f_10_2]) ).
fof(f_20_1,plain,
! [A] :
( ~ v3_struct_0(A)
| ~ v1_lattice3(A)
| ~ l1_orders_2(A) ),
inference(fof_nnf,[status(thm)],[cc1_lattice3]) ).
fof(f_20_2,plain,
! [U_29] :
( ~ v3_struct_0(U_29)
| ~ v1_lattice3(U_29)
| ~ l1_orders_2(U_29) ),
inference(variable_rename,[status(thm)],[f_20_1]) ).
cnf(f_20_3,plain,
( ~ v3_struct_0(U_29)
| ~ v1_lattice3(U_29)
| ~ l1_orders_2(U_29) ),
inference(clausify,[status(thm)],[f_20_2]) ).
fof(f_28_1,plain,
! [A] :
( ( v2_lattice3(A)
& v1_lattice3(A)
& ~ v3_struct_0(A) )
| ~ v3_lattice3(A)
| v3_struct_0(A)
| ~ l1_orders_2(A) ),
inference(fof_nnf,[status(thm)],[cc1_yellow_0]) ).
fof(f_28_2,plain,
! [U_47] :
( ( v2_lattice3(U_47)
& v1_lattice3(U_47)
& ~ v3_struct_0(U_47) )
| ~ v3_lattice3(U_47)
| v3_struct_0(U_47)
| ~ l1_orders_2(U_47) ),
inference(variable_rename,[status(thm)],[f_28_1]) ).
cnf(f_28_4,plain,
( v1_lattice3(U_47)
| ~ v3_lattice3(U_47)
| v3_struct_0(U_47)
| ~ l1_orders_2(U_47) ),
inference(clausify,[status(thm)],[f_28_2]) ).
fof(f_33_1,plain,
! [A] :
( ~ v3_struct_0(A)
| ~ v2_lattice3(A)
| ~ l1_orders_2(A) ),
inference(fof_nnf,[status(thm)],[cc2_lattice3]) ).
fof(f_33_2,plain,
! [U_54] :
( ~ v3_struct_0(U_54)
| ~ v2_lattice3(U_54)
| ~ l1_orders_2(U_54) ),
inference(variable_rename,[status(thm)],[f_33_1]) ).
cnf(f_33_3,plain,
( ~ v3_struct_0(U_54)
| ~ v2_lattice3(U_54)
| ~ l1_orders_2(U_54) ),
inference(clausify,[status(thm)],[f_33_2]) ).
fof(f_48_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ( ( D = k1_waybel34(A,B,C)
| ~ v3_waybel_1(k1_waybel_1(A,B,C,D),A,B) )
& ( v3_waybel_1(k1_waybel_1(A,B,C,D),A,B)
| D != k1_waybel34(A,B,C) ) )
| ~ m2_relset_1(D,u1_struct_0(B),u1_struct_0(A))
| ~ v1_funct_2(D,u1_struct_0(B),u1_struct_0(A))
| ~ v1_funct_1(D) )
| ~ v17_waybel_0(C,A,B)
| ~ v3_lattice3(B)
| ~ v3_lattice3(A)
| ~ m2_relset_1(C,u1_struct_0(A),u1_struct_0(B))
| ~ v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
| ~ v1_funct_1(C) )
| ~ l1_orders_2(B)
| ~ v2_lattice3(B)
| ~ v1_lattice3(B)
| ~ v4_orders_2(B)
| ~ v3_orders_2(B)
| ~ v2_orders_2(B) )
| ~ l1_orders_2(A)
| ~ v2_lattice3(A)
| ~ v1_lattice3(A)
| ~ v4_orders_2(A)
| ~ v3_orders_2(A)
| ~ v2_orders_2(A) ),
inference(fof_nnf,[status(thm)],[d1_waybel34]) ).
fof(f_48_2,plain,
! [U_83] :
( ! [U_82] :
( ! [U_81] :
( ! [U_80] :
( ( ( U_80 = k1_waybel34(U_83,U_82,U_81)
| ~ v3_waybel_1(k1_waybel_1(U_83,U_82,U_81,U_80),U_83,U_82) )
& ( v3_waybel_1(k1_waybel_1(U_83,U_82,U_81,U_80),U_83,U_82)
| U_80 != k1_waybel34(U_83,U_82,U_81) ) )
| ~ m2_relset_1(U_80,u1_struct_0(U_82),u1_struct_0(U_83))
| ~ v1_funct_2(U_80,u1_struct_0(U_82),u1_struct_0(U_83))
| ~ v1_funct_1(U_80) )
| ~ v17_waybel_0(U_81,U_83,U_82)
| ~ v3_lattice3(U_82)
| ~ v3_lattice3(U_83)
| ~ m2_relset_1(U_81,u1_struct_0(U_83),u1_struct_0(U_82))
| ~ v1_funct_2(U_81,u1_struct_0(U_83),u1_struct_0(U_82))
| ~ v1_funct_1(U_81) )
| ~ l1_orders_2(U_82)
| ~ v2_lattice3(U_82)
| ~ v1_lattice3(U_82)
| ~ v4_orders_2(U_82)
| ~ v3_orders_2(U_82)
| ~ v2_orders_2(U_82) )
| ~ l1_orders_2(U_83)
| ~ v2_lattice3(U_83)
| ~ v1_lattice3(U_83)
| ~ v4_orders_2(U_83)
| ~ v3_orders_2(U_83)
| ~ v2_orders_2(U_83) ),
inference(variable_rename,[status(thm)],[f_48_1]) ).
cnf(f_48_4,plain,
( U_80 = k1_waybel34(U_83,U_82,U_81)
| ~ v3_waybel_1(k1_waybel_1(U_83,U_82,U_81,U_80),U_83,U_82)
| ~ m2_relset_1(U_80,u1_struct_0(U_82),u1_struct_0(U_83))
| ~ v1_funct_2(U_80,u1_struct_0(U_82),u1_struct_0(U_83))
| ~ v1_funct_1(U_80)
| ~ v17_waybel_0(U_81,U_83,U_82)
| ~ v3_lattice3(U_82)
| ~ v3_lattice3(U_83)
| ~ m2_relset_1(U_81,u1_struct_0(U_83),u1_struct_0(U_82))
| ~ v1_funct_2(U_81,u1_struct_0(U_83),u1_struct_0(U_82))
| ~ v1_funct_1(U_81)
| ~ l1_orders_2(U_82)
| ~ v2_lattice3(U_82)
| ~ v1_lattice3(U_82)
| ~ v4_orders_2(U_82)
| ~ v3_orders_2(U_82)
| ~ v2_orders_2(U_82)
| ~ l1_orders_2(U_83)
| ~ v2_lattice3(U_83)
| ~ v1_lattice3(U_83)
| ~ v4_orders_2(U_83)
| ~ v3_orders_2(U_83)
| ~ v2_orders_2(U_83) ),
inference(clausify,[status(thm)],[f_48_2]) ).
fof(f_49_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ( ( D = k2_waybel34(A,B,C)
| ~ v3_waybel_1(k1_waybel_1(A,B,D,C),A,B) )
& ( v3_waybel_1(k1_waybel_1(A,B,D,C),A,B)
| D != k2_waybel34(A,B,C) ) )
| ~ m2_relset_1(D,u1_struct_0(A),u1_struct_0(B))
| ~ v1_funct_2(D,u1_struct_0(A),u1_struct_0(B))
| ~ v1_funct_1(D) )
| ~ v18_waybel_0(C,B,A)
| ~ v3_lattice3(B)
| ~ v3_lattice3(A)
| ~ m2_relset_1(C,u1_struct_0(B),u1_struct_0(A))
| ~ v1_funct_2(C,u1_struct_0(B),u1_struct_0(A))
| ~ v1_funct_1(C) )
| ~ l1_orders_2(B)
| ~ v2_lattice3(B)
| ~ v1_lattice3(B)
| ~ v4_orders_2(B)
| ~ v3_orders_2(B)
| ~ v2_orders_2(B) )
| ~ l1_orders_2(A)
| ~ v2_lattice3(A)
| ~ v1_lattice3(A)
| ~ v4_orders_2(A)
| ~ v3_orders_2(A)
| ~ v2_orders_2(A) ),
inference(fof_nnf,[status(thm)],[d2_waybel34]) ).
fof(f_49_2,plain,
! [U_87] :
( ! [U_86] :
( ! [U_85] :
( ! [U_84] :
( ( ( U_84 = k2_waybel34(U_87,U_86,U_85)
| ~ v3_waybel_1(k1_waybel_1(U_87,U_86,U_84,U_85),U_87,U_86) )
& ( v3_waybel_1(k1_waybel_1(U_87,U_86,U_84,U_85),U_87,U_86)
| U_84 != k2_waybel34(U_87,U_86,U_85) ) )
| ~ m2_relset_1(U_84,u1_struct_0(U_87),u1_struct_0(U_86))
| ~ v1_funct_2(U_84,u1_struct_0(U_87),u1_struct_0(U_86))
| ~ v1_funct_1(U_84) )
| ~ v18_waybel_0(U_85,U_86,U_87)
| ~ v3_lattice3(U_86)
| ~ v3_lattice3(U_87)
| ~ m2_relset_1(U_85,u1_struct_0(U_86),u1_struct_0(U_87))
| ~ v1_funct_2(U_85,u1_struct_0(U_86),u1_struct_0(U_87))
| ~ v1_funct_1(U_85) )
| ~ l1_orders_2(U_86)
| ~ v2_lattice3(U_86)
| ~ v1_lattice3(U_86)
| ~ v4_orders_2(U_86)
| ~ v3_orders_2(U_86)
| ~ v2_orders_2(U_86) )
| ~ l1_orders_2(U_87)
| ~ v2_lattice3(U_87)
| ~ v1_lattice3(U_87)
| ~ v4_orders_2(U_87)
| ~ v3_orders_2(U_87)
| ~ v2_orders_2(U_87) ),
inference(variable_rename,[status(thm)],[f_49_1]) ).
cnf(f_49_4,plain,
( U_84 = k2_waybel34(U_87,U_86,U_85)
| ~ v3_waybel_1(k1_waybel_1(U_87,U_86,U_84,U_85),U_87,U_86)
| ~ m2_relset_1(U_84,u1_struct_0(U_87),u1_struct_0(U_86))
| ~ v1_funct_2(U_84,u1_struct_0(U_87),u1_struct_0(U_86))
| ~ v1_funct_1(U_84)
| ~ v18_waybel_0(U_85,U_86,U_87)
| ~ v3_lattice3(U_86)
| ~ v3_lattice3(U_87)
| ~ m2_relset_1(U_85,u1_struct_0(U_86),u1_struct_0(U_87))
| ~ v1_funct_2(U_85,u1_struct_0(U_86),u1_struct_0(U_87))
| ~ v1_funct_1(U_85)
| ~ l1_orders_2(U_86)
| ~ v2_lattice3(U_86)
| ~ v1_lattice3(U_86)
| ~ v4_orders_2(U_86)
| ~ v3_orders_2(U_86)
| ~ v2_orders_2(U_86)
| ~ l1_orders_2(U_87)
| ~ v2_lattice3(U_87)
| ~ v1_lattice3(U_87)
| ~ v4_orders_2(U_87)
| ~ v3_orders_2(U_87)
| ~ v2_orders_2(U_87) ),
inference(clausify,[status(thm)],[f_49_2]) ).
fof(f_60_1,plain,
! [A] :
( ( m2_relset_1(k7_grcat_1(A),u1_struct_0(A),u1_struct_0(A))
& v1_funct_2(k7_grcat_1(A),u1_struct_0(A),u1_struct_0(A))
& v1_funct_1(k7_grcat_1(A)) )
| ~ l1_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k7_grcat_1]) ).
fof(f_60_2,plain,
! [U_100] :
( ( m2_relset_1(k7_grcat_1(U_100),u1_struct_0(U_100),u1_struct_0(U_100))
& v1_funct_2(k7_grcat_1(U_100),u1_struct_0(U_100),u1_struct_0(U_100))
& v1_funct_1(k7_grcat_1(U_100)) )
| ~ l1_struct_0(U_100) ),
inference(variable_rename,[status(thm)],[f_60_1]) ).
cnf(f_60_5,plain,
( m2_relset_1(k7_grcat_1(U_100),u1_struct_0(U_100),u1_struct_0(U_100))
| ~ l1_struct_0(U_100) ),
inference(clausify,[status(thm)],[f_60_2]) ).
fof(f_61_1,plain,
! [A] :
( l1_struct_0(A)
| ~ l1_orders_2(A) ),
inference(fof_nnf,[status(thm)],[dt_l1_orders_2]) ).
fof(f_61_2,plain,
! [U_101] :
( l1_struct_0(U_101)
| ~ l1_orders_2(U_101) ),
inference(variable_rename,[status(thm)],[f_61_1]) ).
cnf(f_61_3,plain,
( l1_struct_0(U_101)
| ~ l1_orders_2(U_101) ),
inference(clausify,[status(thm)],[f_61_2]) ).
fof(f_91_1,plain,
! [A] :
( ( v6_waybel_1(k7_grcat_1(A),A)
& v23_waybel_0(k7_grcat_1(A),A,A)
& v5_orders_3(k7_grcat_1(A),A,A)
& v1_partfun1(k7_grcat_1(A),u1_struct_0(A),u1_struct_0(A))
& v1_funct_2(k7_grcat_1(A),u1_struct_0(A),u1_struct_0(A))
& ~ v1_xboole_0(k7_grcat_1(A))
& v2_funct_1(k7_grcat_1(A))
& v1_funct_1(k7_grcat_1(A))
& v1_relat_1(k7_grcat_1(A)) )
| ~ l1_orders_2(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[fc3_waybel_1]) ).
fof(f_91_2,plain,
! [U_153] :
( ( v6_waybel_1(k7_grcat_1(U_153),U_153)
& v23_waybel_0(k7_grcat_1(U_153),U_153,U_153)
& v5_orders_3(k7_grcat_1(U_153),U_153,U_153)
& v1_partfun1(k7_grcat_1(U_153),u1_struct_0(U_153),u1_struct_0(U_153))
& v1_funct_2(k7_grcat_1(U_153),u1_struct_0(U_153),u1_struct_0(U_153))
& ~ v1_xboole_0(k7_grcat_1(U_153))
& v2_funct_1(k7_grcat_1(U_153))
& v1_funct_1(k7_grcat_1(U_153))
& v1_relat_1(k7_grcat_1(U_153)) )
| ~ l1_orders_2(U_153)
| v3_struct_0(U_153) ),
inference(variable_rename,[status(thm)],[f_91_1]) ).
cnf(f_91_4,plain,
( v1_funct_1(k7_grcat_1(U_153))
| ~ l1_orders_2(U_153)
| v3_struct_0(U_153) ),
inference(clausify,[status(thm)],[f_91_2]) ).
fof(f_92_1,plain,
! [A] :
( ( v8_waybel_1(k7_grcat_1(A),A)
& v7_waybel_1(k7_grcat_1(A),A)
& v6_waybel_1(k7_grcat_1(A),A)
& v23_waybel_0(k7_grcat_1(A),A,A)
& v22_waybel_0(k7_grcat_1(A),A,A)
& v21_waybel_0(k7_grcat_1(A),A,A)
& v20_waybel_0(k7_grcat_1(A),A,A)
& v19_waybel_0(k7_grcat_1(A),A,A)
& v18_waybel_0(k7_grcat_1(A),A,A)
& v17_waybel_0(k7_grcat_1(A),A,A)
& v5_orders_3(k7_grcat_1(A),A,A)
& v11_quantal1(k7_grcat_1(A))
& v1_partfun1(k7_grcat_1(A),u1_struct_0(A),u1_struct_0(A))
& v1_funct_2(k7_grcat_1(A),u1_struct_0(A),u1_struct_0(A))
& ~ v1_xboole_0(k7_grcat_1(A))
& v2_funct_1(k7_grcat_1(A))
& v1_funct_1(k7_grcat_1(A))
& v1_relat_1(k7_grcat_1(A)) )
| ~ l1_orders_2(A)
| ~ v2_orders_2(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[fc4_waybel10]) ).
fof(f_92_2,plain,
! [U_154] :
( ( v8_waybel_1(k7_grcat_1(U_154),U_154)
& v7_waybel_1(k7_grcat_1(U_154),U_154)
& v6_waybel_1(k7_grcat_1(U_154),U_154)
& v23_waybel_0(k7_grcat_1(U_154),U_154,U_154)
& v22_waybel_0(k7_grcat_1(U_154),U_154,U_154)
& v21_waybel_0(k7_grcat_1(U_154),U_154,U_154)
& v20_waybel_0(k7_grcat_1(U_154),U_154,U_154)
& v19_waybel_0(k7_grcat_1(U_154),U_154,U_154)
& v18_waybel_0(k7_grcat_1(U_154),U_154,U_154)
& v17_waybel_0(k7_grcat_1(U_154),U_154,U_154)
& v5_orders_3(k7_grcat_1(U_154),U_154,U_154)
& v11_quantal1(k7_grcat_1(U_154))
& v1_partfun1(k7_grcat_1(U_154),u1_struct_0(U_154),u1_struct_0(U_154))
& v1_funct_2(k7_grcat_1(U_154),u1_struct_0(U_154),u1_struct_0(U_154))
& ~ v1_xboole_0(k7_grcat_1(U_154))
& v2_funct_1(k7_grcat_1(U_154))
& v1_funct_1(k7_grcat_1(U_154))
& v1_relat_1(k7_grcat_1(U_154)) )
| ~ l1_orders_2(U_154)
| ~ v2_orders_2(U_154)
| v3_struct_0(U_154) ),
inference(variable_rename,[status(thm)],[f_92_1]) ).
cnf(f_92_11,plain,
( v17_waybel_0(k7_grcat_1(U_154),U_154,U_154)
| ~ l1_orders_2(U_154)
| ~ v2_orders_2(U_154)
| v3_struct_0(U_154) ),
inference(clausify,[status(thm)],[f_92_2]) ).
cnf(f_92_12,plain,
( v18_waybel_0(k7_grcat_1(U_154),U_154,U_154)
| ~ l1_orders_2(U_154)
| ~ v2_orders_2(U_154)
| v3_struct_0(U_154) ),
inference(clausify,[status(thm)],[f_92_2]) ).
fof(f_93_1,plain,
! [A] :
( ( v7_waybel_1(k7_grcat_1(A),A)
& v6_waybel_1(k7_grcat_1(A),A)
& v23_waybel_0(k7_grcat_1(A),A,A)
& v5_orders_3(k7_grcat_1(A),A,A)
& v1_partfun1(k7_grcat_1(A),u1_struct_0(A),u1_struct_0(A))
& v1_funct_2(k7_grcat_1(A),u1_struct_0(A),u1_struct_0(A))
& ~ v1_xboole_0(k7_grcat_1(A))
& v2_funct_1(k7_grcat_1(A))
& v1_funct_1(k7_grcat_1(A))
& v1_relat_1(k7_grcat_1(A)) )
| ~ l1_orders_2(A)
| ~ v2_orders_2(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[fc4_waybel_1]) ).
fof(f_93_2,plain,
! [U_155] :
( ( v7_waybel_1(k7_grcat_1(U_155),U_155)
& v6_waybel_1(k7_grcat_1(U_155),U_155)
& v23_waybel_0(k7_grcat_1(U_155),U_155,U_155)
& v5_orders_3(k7_grcat_1(U_155),U_155,U_155)
& v1_partfun1(k7_grcat_1(U_155),u1_struct_0(U_155),u1_struct_0(U_155))
& v1_funct_2(k7_grcat_1(U_155),u1_struct_0(U_155),u1_struct_0(U_155))
& ~ v1_xboole_0(k7_grcat_1(U_155))
& v2_funct_1(k7_grcat_1(U_155))
& v1_funct_1(k7_grcat_1(U_155))
& v1_relat_1(k7_grcat_1(U_155)) )
| ~ l1_orders_2(U_155)
| ~ v2_orders_2(U_155)
| v3_struct_0(U_155) ),
inference(variable_rename,[status(thm)],[f_93_1]) ).
cnf(f_93_7,plain,
( v1_funct_2(k7_grcat_1(U_155),u1_struct_0(U_155),u1_struct_0(U_155))
| ~ l1_orders_2(U_155)
| ~ v2_orders_2(U_155)
| v3_struct_0(U_155) ),
inference(clausify,[status(thm)],[f_93_2]) ).
fof(f_128_1,plain,
! [A] :
( v3_waybel_1(k1_waybel_1(A,A,k7_grcat_1(A),k7_grcat_1(A)),A,A)
| ~ l1_orders_2(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t6_waybel34]) ).
fof(f_128_2,plain,
! [U_229] :
( v3_waybel_1(k1_waybel_1(U_229,U_229,k7_grcat_1(U_229),k7_grcat_1(U_229)),U_229,U_229)
| ~ l1_orders_2(U_229)
| v3_struct_0(U_229) ),
inference(variable_rename,[status(thm)],[f_128_1]) ).
cnf(f_128_3,plain,
( v3_waybel_1(k1_waybel_1(U_229,U_229,k7_grcat_1(U_229),k7_grcat_1(U_229)),U_229,U_229)
| ~ l1_orders_2(U_229)
| v3_struct_0(U_229) ),
inference(clausify,[status(thm)],[f_128_2]) ).
cnf(equality_2,axiom,
( Eq_x_1 = Eq_x_0
| Eq_x_0 != Eq_x_1 ),
theory(equality,[symmetry]) ).
cnf(t1,plain,
( k2_waybel34(sK1,sK1,k7_grcat_1(sK1)) != k7_grcat_1(sK1)
| k1_waybel34(sK1,sK1,k7_grcat_1(sK1)) != k7_grcat_1(sK1) ),
inference(start,[status(thm),parent(0:0)],[f_1_12]) ).
cnf(t2,plain,
( k7_grcat_1(sK1) != k1_waybel34(sK1,sK1,k7_grcat_1(sK1))
| k1_waybel34(sK1,sK1,k7_grcat_1(sK1)) = k7_grcat_1(sK1) ),
inference(extension,[status(thm),parent(t1:1)],[equality_2]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ v1_lattice3(sK1)
| ~ v17_waybel_0(k7_grcat_1(sK1),sK1,sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_lattice3(sK1)
| ~ v3_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ m2_relset_1(k7_grcat_1(sK1),u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v3_waybel_1(k1_waybel_1(sK1,sK1,k7_grcat_1(sK1),k7_grcat_1(sK1)),sK1,sK1)
| ~ v1_funct_1(k7_grcat_1(sK1))
| ~ v1_funct_2(k7_grcat_1(sK1),u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_funct_1(k7_grcat_1(sK1))
| ~ v3_lattice3(sK1)
| ~ m2_relset_1(k7_grcat_1(sK1),u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_funct_2(k7_grcat_1(sK1),u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v2_lattice3(sK1)
| ~ v2_lattice3(sK1)
| k7_grcat_1(sK1) = k1_waybel34(sK1,sK1,k7_grcat_1(sK1)) ),
inference(extension,[status(thm),parent(t2:2)],[f_48_4]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( ~ v4_orders_2(sK1)
| ~ v2_orders_2(sK1)
| ~ l1_orders_2(sK1)
| ~ v25_waybel_0(sK1)
| v3_struct_0(sK1)
| v2_lattice3(sK1) ),
inference(extension,[status(thm),parent(t4:2)],[f_10_6]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
( ~ v1_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v3_struct_0(sK1) ),
inference(extension,[status(thm),parent(t6:2)],[f_20_3]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
l1_orders_2(sK1),
inference(extension,[status(thm),parent(t8:2)],[f_1_11]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
v1_lattice3(sK1),
inference(extension,[status(thm),parent(t8:3)],[f_1_8]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t8:3]) ).
cnf(l4,lemma,
~ v3_struct_0(sK1),
inference(lemma,[status(cth),parent(t6:2),below(t4:2)],[t6:2]) ).
cnf(t14,plain,
( ~ l1_orders_2(sK1)
| v3_struct_0(sK1)
| ~ v3_lattice3(sK1)
| ~ v2_orders_2(sK1)
| v25_waybel_0(sK1) ),
inference(extension,[status(thm),parent(t6:3)],[f_4_6]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t6:3]) ).
cnf(t16,plain,
v2_orders_2(sK1),
inference(extension,[status(thm),parent(t14:2)],[f_1_5]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t14:2]) ).
cnf(t18,plain,
v3_lattice3(sK1),
inference(extension,[status(thm),parent(t14:3)],[f_1_10]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t14:3]) ).
cnf(t20,plain,
~ v3_struct_0(sK1),
inference(lemma_extension,[status(thm),parent(t14:4)],[l4:1]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t14:4]) ).
cnf(t22,plain,
l1_orders_2(sK1),
inference(extension,[status(thm),parent(t14:5)],[f_1_11]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t14:5]) ).
cnf(t24,plain,
l1_orders_2(sK1),
inference(extension,[status(thm),parent(t6:4)],[f_1_11]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t6:4]) ).
cnf(t26,plain,
v2_orders_2(sK1),
inference(extension,[status(thm),parent(t6:5)],[f_1_5]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t6:5]) ).
cnf(t28,plain,
v4_orders_2(sK1),
inference(extension,[status(thm),parent(t6:6)],[f_1_7]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t6:6]) ).
cnf(l3,lemma,
v2_lattice3(sK1),
inference(lemma,[status(cth),parent(t4:2),below(t2:2)],[t4:2]) ).
cnf(t30,plain,
v2_lattice3(sK1),
inference(lemma_extension,[status(thm),parent(t4:3)],[l3:1]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t4:3]) ).
cnf(t32,plain,
( ~ l1_orders_2(sK1)
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| v1_funct_2(k7_grcat_1(sK1),u1_struct_0(sK1),u1_struct_0(sK1)) ),
inference(extension,[status(thm),parent(t4:4)],[f_93_7]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t4:4]) ).
cnf(t34,plain,
v2_orders_2(sK1),
inference(extension,[status(thm),parent(t32:2)],[f_1_5]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t32:2]) ).
cnf(t36,plain,
( ~ v1_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v3_struct_0(sK1) ),
inference(extension,[status(thm),parent(t32:3)],[f_20_3]) ).
cnf(t37,plain,
$false,
inference(connection,[status(thm),parent(t36:1)],[t36:1,t32:3]) ).
cnf(t38,plain,
l1_orders_2(sK1),
inference(extension,[status(thm),parent(t36:2)],[f_1_11]) ).
cnf(t39,plain,
$false,
inference(connection,[status(thm),parent(t38:1)],[t38:1,t36:2]) ).
cnf(t40,plain,
v1_lattice3(sK1),
inference(extension,[status(thm),parent(t36:3)],[f_1_8]) ).
cnf(t41,plain,
$false,
inference(connection,[status(thm),parent(t40:1)],[t40:1,t36:3]) ).
cnf(t42,plain,
l1_orders_2(sK1),
inference(extension,[status(thm),parent(t32:4)],[f_1_11]) ).
cnf(t43,plain,
$false,
inference(connection,[status(thm),parent(t42:1)],[t42:1,t32:4]) ).
cnf(l14,lemma,
v1_funct_2(k7_grcat_1(sK1),u1_struct_0(sK1),u1_struct_0(sK1)),
inference(lemma,[status(cth),parent(t4:4),below(t2:2)],[t4:4]) ).
cnf(t44,plain,
( ~ l1_struct_0(sK1)
| m2_relset_1(k7_grcat_1(sK1),u1_struct_0(sK1),u1_struct_0(sK1)) ),
inference(extension,[status(thm),parent(t4:5)],[f_60_5]) ).
cnf(t45,plain,
$false,
inference(connection,[status(thm),parent(t44:1)],[t44:1,t4:5]) ).
cnf(t46,plain,
( ~ l1_orders_2(sK1)
| l1_struct_0(sK1) ),
inference(extension,[status(thm),parent(t44:2)],[f_61_3]) ).
cnf(t47,plain,
$false,
inference(connection,[status(thm),parent(t46:1)],[t46:1,t44:2]) ).
cnf(t48,plain,
l1_orders_2(sK1),
inference(extension,[status(thm),parent(t46:2)],[f_1_11]) ).
cnf(t49,plain,
$false,
inference(connection,[status(thm),parent(t48:1)],[t48:1,t46:2]) ).
cnf(l20,lemma,
m2_relset_1(k7_grcat_1(sK1),u1_struct_0(sK1),u1_struct_0(sK1)),
inference(lemma,[status(cth),parent(t4:5),below(t2:2)],[t4:5]) ).
cnf(t50,plain,
v3_lattice3(sK1),
inference(extension,[status(thm),parent(t4:6)],[f_1_10]) ).
cnf(t51,plain,
$false,
inference(connection,[status(thm),parent(t50:1)],[t50:1,t4:6]) ).
cnf(l23,lemma,
v3_lattice3(sK1),
inference(lemma,[status(cth),parent(t4:6),below(t2:2)],[t4:6]) ).
cnf(t52,plain,
( v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v1_funct_1(k7_grcat_1(sK1)) ),
inference(extension,[status(thm),parent(t4:7)],[f_91_4]) ).
cnf(t53,plain,
$false,
inference(connection,[status(thm),parent(t52:1)],[t52:1,t4:7]) ).
cnf(t54,plain,
l1_orders_2(sK1),
inference(extension,[status(thm),parent(t52:2)],[f_1_11]) ).
cnf(t55,plain,
$false,
inference(connection,[status(thm),parent(t54:1)],[t54:1,t52:2]) ).
cnf(l25,lemma,
l1_orders_2(sK1),
inference(lemma,[status(cth),parent(t52:2),below(t4:7)],[t52:2]) ).
cnf(t56,plain,
( ~ v1_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v3_struct_0(sK1) ),
inference(extension,[status(thm),parent(t52:3)],[f_20_3]) ).
cnf(t57,plain,
$false,
inference(connection,[status(thm),parent(t56:1)],[t56:1,t52:3]) ).
cnf(t58,plain,
l1_orders_2(sK1),
inference(lemma_extension,[status(thm),parent(t56:2)],[l25:1]) ).
cnf(t59,plain,
$false,
inference(connection,[status(thm),parent(t58:1)],[t58:1,t56:2]) ).
cnf(t60,plain,
v1_lattice3(sK1),
inference(extension,[status(thm),parent(t56:3)],[f_1_8]) ).
cnf(t61,plain,
$false,
inference(connection,[status(thm),parent(t60:1)],[t60:1,t56:3]) ).
cnf(l24,lemma,
v1_funct_1(k7_grcat_1(sK1)),
inference(lemma,[status(cth),parent(t4:7),below(t2:2)],[t4:7]) ).
cnf(t62,plain,
v1_funct_2(k7_grcat_1(sK1),u1_struct_0(sK1),u1_struct_0(sK1)),
inference(lemma_extension,[status(thm),parent(t4:8)],[l14:1]) ).
cnf(t63,plain,
$false,
inference(connection,[status(thm),parent(t62:1)],[t62:1,t4:8]) ).
cnf(t64,plain,
v1_funct_1(k7_grcat_1(sK1)),
inference(lemma_extension,[status(thm),parent(t4:9)],[l24:1]) ).
cnf(t65,plain,
$false,
inference(connection,[status(thm),parent(t64:1)],[t64:1,t4:9]) ).
cnf(t66,plain,
( v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_waybel_1(k1_waybel_1(sK1,sK1,k7_grcat_1(sK1),k7_grcat_1(sK1)),sK1,sK1) ),
inference(extension,[status(thm),parent(t4:10)],[f_128_3]) ).
cnf(t67,plain,
$false,
inference(connection,[status(thm),parent(t66:1)],[t66:1,t4:10]) ).
cnf(t68,plain,
l1_orders_2(sK1),
inference(extension,[status(thm),parent(t66:2)],[f_1_11]) ).
cnf(t69,plain,
$false,
inference(connection,[status(thm),parent(t68:1)],[t68:1,t66:2]) ).
cnf(l29,lemma,
l1_orders_2(sK1),
inference(lemma,[status(cth),parent(t66:2),below(t4:10)],[t66:2]) ).
cnf(t70,plain,
( ~ v1_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v3_struct_0(sK1) ),
inference(extension,[status(thm),parent(t66:3)],[f_20_3]) ).
cnf(t71,plain,
$false,
inference(connection,[status(thm),parent(t70:1)],[t70:1,t66:3]) ).
cnf(t72,plain,
l1_orders_2(sK1),
inference(lemma_extension,[status(thm),parent(t70:2)],[l29:1]) ).
cnf(t73,plain,
$false,
inference(connection,[status(thm),parent(t72:1)],[t72:1,t70:2]) ).
cnf(t74,plain,
v1_lattice3(sK1),
inference(extension,[status(thm),parent(t70:3)],[f_1_8]) ).
cnf(t75,plain,
$false,
inference(connection,[status(thm),parent(t74:1)],[t74:1,t70:3]) ).
cnf(t76,plain,
m2_relset_1(k7_grcat_1(sK1),u1_struct_0(sK1),u1_struct_0(sK1)),
inference(lemma_extension,[status(thm),parent(t4:11)],[l20:1]) ).
cnf(t77,plain,
$false,
inference(connection,[status(thm),parent(t76:1)],[t76:1,t4:11]) ).
cnf(t78,plain,
v3_orders_2(sK1),
inference(extension,[status(thm),parent(t4:12)],[f_1_6]) ).
cnf(t79,plain,
$false,
inference(connection,[status(thm),parent(t78:1)],[t78:1,t4:12]) ).
cnf(l32,lemma,
v3_orders_2(sK1),
inference(lemma,[status(cth),parent(t4:12),below(t2:2)],[t4:12]) ).
cnf(t80,plain,
v3_orders_2(sK1),
inference(lemma_extension,[status(thm),parent(t4:13)],[l32:1]) ).
cnf(t81,plain,
$false,
inference(connection,[status(thm),parent(t80:1)],[t80:1,t4:13]) ).
cnf(t82,plain,
v3_lattice3(sK1),
inference(lemma_extension,[status(thm),parent(t4:14)],[l23:1]) ).
cnf(t83,plain,
$false,
inference(connection,[status(thm),parent(t82:1)],[t82:1,t4:14]) ).
cnf(t84,plain,
v2_orders_2(sK1),
inference(extension,[status(thm),parent(t4:15)],[f_1_5]) ).
cnf(t85,plain,
$false,
inference(connection,[status(thm),parent(t84:1)],[t84:1,t4:15]) ).
cnf(l33,lemma,
v2_orders_2(sK1),
inference(lemma,[status(cth),parent(t4:15),below(t2:2)],[t4:15]) ).
cnf(t86,plain,
v2_orders_2(sK1),
inference(lemma_extension,[status(thm),parent(t4:16)],[l33:1]) ).
cnf(t87,plain,
$false,
inference(connection,[status(thm),parent(t86:1)],[t86:1,t4:16]) ).
cnf(t88,plain,
l1_orders_2(sK1),
inference(extension,[status(thm),parent(t4:17)],[f_1_11]) ).
cnf(t89,plain,
$false,
inference(connection,[status(thm),parent(t88:1)],[t88:1,t4:17]) ).
cnf(l34,lemma,
l1_orders_2(sK1),
inference(lemma,[status(cth),parent(t4:17),below(t2:2)],[t4:17]) ).
cnf(t90,plain,
v4_orders_2(sK1),
inference(extension,[status(thm),parent(t4:18)],[f_1_7]) ).
cnf(t91,plain,
$false,
inference(connection,[status(thm),parent(t90:1)],[t90:1,t4:18]) ).
cnf(l35,lemma,
v4_orders_2(sK1),
inference(lemma,[status(cth),parent(t4:18),below(t2:2)],[t4:18]) ).
cnf(t92,plain,
l1_orders_2(sK1),
inference(lemma_extension,[status(thm),parent(t4:19)],[l34:1]) ).
cnf(t93,plain,
$false,
inference(connection,[status(thm),parent(t92:1)],[t92:1,t4:19]) ).
cnf(t94,plain,
( v3_struct_0(sK1)
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| v1_lattice3(sK1) ),
inference(extension,[status(thm),parent(t4:20)],[f_28_4]) ).
cnf(t95,plain,
$false,
inference(connection,[status(thm),parent(t94:1)],[t94:1,t4:20]) ).
cnf(t96,plain,
l1_orders_2(sK1),
inference(lemma_extension,[status(thm),parent(t94:2)],[l34:1]) ).
cnf(t97,plain,
$false,
inference(connection,[status(thm),parent(t96:1)],[t96:1,t94:2]) ).
cnf(t98,plain,
v3_lattice3(sK1),
inference(lemma_extension,[status(thm),parent(t94:3)],[l23:1]) ).
cnf(t99,plain,
$false,
inference(connection,[status(thm),parent(t98:1)],[t98:1,t94:3]) ).
cnf(t100,plain,
( ~ l1_orders_2(sK1)
| ~ v2_lattice3(sK1)
| ~ v3_struct_0(sK1) ),
inference(extension,[status(thm),parent(t94:4)],[f_33_3]) ).
cnf(t101,plain,
$false,
inference(connection,[status(thm),parent(t100:1)],[t100:1,t94:4]) ).
cnf(t102,plain,
v2_lattice3(sK1),
inference(lemma_extension,[status(thm),parent(t100:2)],[l3:1]) ).
cnf(t103,plain,
$false,
inference(connection,[status(thm),parent(t102:1)],[t102:1,t100:2]) ).
cnf(t104,plain,
l1_orders_2(sK1),
inference(lemma_extension,[status(thm),parent(t100:3)],[l34:1]) ).
cnf(t105,plain,
$false,
inference(connection,[status(thm),parent(t104:1)],[t104:1,t100:3]) ).
cnf(l36,lemma,
v1_lattice3(sK1),
inference(lemma,[status(cth),parent(t4:20),below(t2:2)],[t4:20]) ).
cnf(t106,plain,
v4_orders_2(sK1),
inference(lemma_extension,[status(thm),parent(t4:21)],[l35:1]) ).
cnf(t107,plain,
$false,
inference(connection,[status(thm),parent(t106:1)],[t106:1,t4:21]) ).
cnf(t108,plain,
( v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ l1_orders_2(sK1)
| v17_waybel_0(k7_grcat_1(sK1),sK1,sK1) ),
inference(extension,[status(thm),parent(t4:22)],[f_92_11]) ).
cnf(t109,plain,
$false,
inference(connection,[status(thm),parent(t108:1)],[t108:1,t4:22]) ).
cnf(t110,plain,
l1_orders_2(sK1),
inference(lemma_extension,[status(thm),parent(t108:2)],[l34:1]) ).
cnf(t111,plain,
$false,
inference(connection,[status(thm),parent(t110:1)],[t110:1,t108:2]) ).
cnf(t112,plain,
v2_orders_2(sK1),
inference(lemma_extension,[status(thm),parent(t108:3)],[l33:1]) ).
cnf(t113,plain,
$false,
inference(connection,[status(thm),parent(t112:1)],[t112:1,t108:3]) ).
cnf(t114,plain,
( ~ v1_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v3_struct_0(sK1) ),
inference(extension,[status(thm),parent(t108:4)],[f_20_3]) ).
cnf(t115,plain,
$false,
inference(connection,[status(thm),parent(t114:1)],[t114:1,t108:4]) ).
cnf(t116,plain,
l1_orders_2(sK1),
inference(lemma_extension,[status(thm),parent(t114:2)],[l34:1]) ).
cnf(t117,plain,
$false,
inference(connection,[status(thm),parent(t116:1)],[t116:1,t114:2]) ).
cnf(t118,plain,
v1_lattice3(sK1),
inference(lemma_extension,[status(thm),parent(t114:3)],[l36:1]) ).
cnf(t119,plain,
$false,
inference(connection,[status(thm),parent(t118:1)],[t118:1,t114:3]) ).
cnf(t120,plain,
v1_lattice3(sK1),
inference(lemma_extension,[status(thm),parent(t4:23)],[l36:1]) ).
cnf(t121,plain,
$false,
inference(connection,[status(thm),parent(t120:1)],[t120:1,t4:23]) ).
cnf(t122,plain,
( k7_grcat_1(sK1) != k2_waybel34(sK1,sK1,k7_grcat_1(sK1))
| k2_waybel34(sK1,sK1,k7_grcat_1(sK1)) = k7_grcat_1(sK1) ),
inference(extension,[status(thm),parent(t1:2)],[equality_2]) ).
cnf(t123,plain,
$false,
inference(connection,[status(thm),parent(t122:1)],[t122:1,t1:2]) ).
cnf(t124,plain,
( ~ v4_orders_2(sK1)
| ~ v18_waybel_0(k7_grcat_1(sK1),sK1,sK1)
| ~ v1_funct_1(k7_grcat_1(sK1))
| ~ v3_lattice3(sK1)
| ~ v3_waybel_1(k1_waybel_1(sK1,sK1,k7_grcat_1(sK1),k7_grcat_1(sK1)),sK1,sK1)
| ~ v1_lattice3(sK1)
| ~ v3_orders_2(sK1)
| ~ m2_relset_1(k7_grcat_1(sK1),u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(k7_grcat_1(sK1))
| ~ v3_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_lattice3(sK1)
| ~ v1_funct_2(k7_grcat_1(sK1),u1_struct_0(sK1),u1_struct_0(sK1))
| ~ m2_relset_1(k7_grcat_1(sK1),u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_lattice3(sK1)
| ~ v1_funct_2(k7_grcat_1(sK1),u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v2_orders_2(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| k7_grcat_1(sK1) = k2_waybel34(sK1,sK1,k7_grcat_1(sK1)) ),
inference(extension,[status(thm),parent(t122:2)],[f_49_4]) ).
cnf(t125,plain,
$false,
inference(connection,[status(thm),parent(t124:1)],[t124:1,t122:2]) ).
cnf(t126,plain,
v3_orders_2(sK1),
inference(extension,[status(thm),parent(t124:2)],[f_1_6]) ).
cnf(t127,plain,
$false,
inference(connection,[status(thm),parent(t126:1)],[t126:1,t124:2]) ).
cnf(l42,lemma,
v3_orders_2(sK1),
inference(lemma,[status(cth),parent(t124:2),below(t122:2)],[t124:2]) ).
cnf(t128,plain,
v2_orders_2(sK1),
inference(extension,[status(thm),parent(t124:3)],[f_1_5]) ).
cnf(t129,plain,
$false,
inference(connection,[status(thm),parent(t128:1)],[t128:1,t124:3]) ).
cnf(l43,lemma,
v2_orders_2(sK1),
inference(lemma,[status(cth),parent(t124:3),below(t122:2)],[t124:3]) ).
cnf(t130,plain,
v2_orders_2(sK1),
inference(lemma_extension,[status(thm),parent(t124:4)],[l43:1]) ).
cnf(t131,plain,
$false,
inference(connection,[status(thm),parent(t130:1)],[t130:1,t124:4]) ).
cnf(t132,plain,
( ~ l1_orders_2(sK1)
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| v1_funct_2(k7_grcat_1(sK1),u1_struct_0(sK1),u1_struct_0(sK1)) ),
inference(extension,[status(thm),parent(t124:5)],[f_93_7]) ).
cnf(t133,plain,
$false,
inference(connection,[status(thm),parent(t132:1)],[t132:1,t124:5]) ).
cnf(t134,plain,
v2_orders_2(sK1),
inference(lemma_extension,[status(thm),parent(t132:2)],[l43:1]) ).
cnf(t135,plain,
$false,
inference(connection,[status(thm),parent(t134:1)],[t134:1,t132:2]) ).
cnf(t136,plain,
( ~ v1_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v3_struct_0(sK1) ),
inference(extension,[status(thm),parent(t132:3)],[f_20_3]) ).
cnf(t137,plain,
$false,
inference(connection,[status(thm),parent(t136:1)],[t136:1,t132:3]) ).
cnf(t138,plain,
l1_orders_2(sK1),
inference(extension,[status(thm),parent(t136:2)],[f_1_11]) ).
cnf(t139,plain,
$false,
inference(connection,[status(thm),parent(t138:1)],[t138:1,t136:2]) ).
cnf(t140,plain,
v1_lattice3(sK1),
inference(extension,[status(thm),parent(t136:3)],[f_1_8]) ).
cnf(t141,plain,
$false,
inference(connection,[status(thm),parent(t140:1)],[t140:1,t136:3]) ).
cnf(t142,plain,
l1_orders_2(sK1),
inference(extension,[status(thm),parent(t132:4)],[f_1_11]) ).
cnf(t143,plain,
$false,
inference(connection,[status(thm),parent(t142:1)],[t142:1,t132:4]) ).
cnf(l44,lemma,
v1_funct_2(k7_grcat_1(sK1),u1_struct_0(sK1),u1_struct_0(sK1)),
inference(lemma,[status(cth),parent(t124:5),below(t122:2)],[t124:5]) ).
cnf(t144,plain,
( v3_struct_0(sK1)
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| v1_lattice3(sK1) ),
inference(extension,[status(thm),parent(t124:6)],[f_28_4]) ).
cnf(t145,plain,
$false,
inference(connection,[status(thm),parent(t144:1)],[t144:1,t124:6]) ).
cnf(t146,plain,
l1_orders_2(sK1),
inference(extension,[status(thm),parent(t144:2)],[f_1_11]) ).
cnf(t147,plain,
$false,
inference(connection,[status(thm),parent(t146:1)],[t146:1,t144:2]) ).
cnf(l50,lemma,
l1_orders_2(sK1),
inference(lemma,[status(cth),parent(t144:2),below(t124:6)],[t144:2]) ).
cnf(t148,plain,
v3_lattice3(sK1),
inference(extension,[status(thm),parent(t144:3)],[f_1_10]) ).
cnf(t149,plain,
$false,
inference(connection,[status(thm),parent(t148:1)],[t148:1,t144:3]) ).
cnf(t150,plain,
( ~ l1_orders_2(sK1)
| ~ v2_lattice3(sK1)
| ~ v3_struct_0(sK1) ),
inference(extension,[status(thm),parent(t144:4)],[f_33_3]) ).
cnf(t151,plain,
$false,
inference(connection,[status(thm),parent(t150:1)],[t150:1,t144:4]) ).
cnf(t152,plain,
v2_lattice3(sK1),
inference(extension,[status(thm),parent(t150:2)],[f_1_9]) ).
cnf(t153,plain,
$false,
inference(connection,[status(thm),parent(t152:1)],[t152:1,t150:2]) ).
cnf(t154,plain,
l1_orders_2(sK1),
inference(lemma_extension,[status(thm),parent(t150:3)],[l50:1]) ).
cnf(t155,plain,
$false,
inference(connection,[status(thm),parent(t154:1)],[t154:1,t150:3]) ).
cnf(l49,lemma,
v1_lattice3(sK1),
inference(lemma,[status(cth),parent(t124:6),below(t122:2)],[t124:6]) ).
cnf(t156,plain,
( ~ l1_struct_0(sK1)
| m2_relset_1(k7_grcat_1(sK1),u1_struct_0(sK1),u1_struct_0(sK1)) ),
inference(extension,[status(thm),parent(t124:7)],[f_60_5]) ).
cnf(t157,plain,
$false,
inference(connection,[status(thm),parent(t156:1)],[t156:1,t124:7]) ).
cnf(t158,plain,
( ~ l1_orders_2(sK1)
| l1_struct_0(sK1) ),
inference(extension,[status(thm),parent(t156:2)],[f_61_3]) ).
cnf(t159,plain,
$false,
inference(connection,[status(thm),parent(t158:1)],[t158:1,t156:2]) ).
cnf(t160,plain,
l1_orders_2(sK1),
inference(extension,[status(thm),parent(t158:2)],[f_1_11]) ).
cnf(t161,plain,
$false,
inference(connection,[status(thm),parent(t160:1)],[t160:1,t158:2]) ).
cnf(l54,lemma,
m2_relset_1(k7_grcat_1(sK1),u1_struct_0(sK1),u1_struct_0(sK1)),
inference(lemma,[status(cth),parent(t124:7),below(t122:2)],[t124:7]) ).
cnf(t162,plain,
v1_funct_2(k7_grcat_1(sK1),u1_struct_0(sK1),u1_struct_0(sK1)),
inference(lemma_extension,[status(thm),parent(t124:8)],[l44:1]) ).
cnf(t163,plain,
$false,
inference(connection,[status(thm),parent(t162:1)],[t162:1,t124:8]) ).
cnf(t164,plain,
( ~ v4_orders_2(sK1)
| ~ v2_orders_2(sK1)
| ~ l1_orders_2(sK1)
| ~ v25_waybel_0(sK1)
| v3_struct_0(sK1)
| v2_lattice3(sK1) ),
inference(extension,[status(thm),parent(t124:9)],[f_10_6]) ).
cnf(t165,plain,
$false,
inference(connection,[status(thm),parent(t164:1)],[t164:1,t124:9]) ).
cnf(t166,plain,
( ~ v1_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v3_struct_0(sK1) ),
inference(extension,[status(thm),parent(t164:2)],[f_20_3]) ).
cnf(t167,plain,
$false,
inference(connection,[status(thm),parent(t166:1)],[t166:1,t164:2]) ).
cnf(t168,plain,
l1_orders_2(sK1),
inference(extension,[status(thm),parent(t166:2)],[f_1_11]) ).
cnf(t169,plain,
$false,
inference(connection,[status(thm),parent(t168:1)],[t168:1,t166:2]) ).
cnf(t170,plain,
v1_lattice3(sK1),
inference(lemma_extension,[status(thm),parent(t166:3)],[l49:1]) ).
cnf(t171,plain,
$false,
inference(connection,[status(thm),parent(t170:1)],[t170:1,t166:3]) ).
cnf(l58,lemma,
~ v3_struct_0(sK1),
inference(lemma,[status(cth),parent(t164:2),below(t124:9)],[t164:2]) ).
cnf(t172,plain,
( ~ l1_orders_2(sK1)
| v3_struct_0(sK1)
| ~ v3_lattice3(sK1)
| ~ v2_orders_2(sK1)
| v25_waybel_0(sK1) ),
inference(extension,[status(thm),parent(t164:3)],[f_4_6]) ).
cnf(t173,plain,
$false,
inference(connection,[status(thm),parent(t172:1)],[t172:1,t164:3]) ).
cnf(t174,plain,
v2_orders_2(sK1),
inference(lemma_extension,[status(thm),parent(t172:2)],[l43:1]) ).
cnf(t175,plain,
$false,
inference(connection,[status(thm),parent(t174:1)],[t174:1,t172:2]) ).
cnf(t176,plain,
v3_lattice3(sK1),
inference(extension,[status(thm),parent(t172:3)],[f_1_10]) ).
cnf(t177,plain,
$false,
inference(connection,[status(thm),parent(t176:1)],[t176:1,t172:3]) ).
cnf(t178,plain,
~ v3_struct_0(sK1),
inference(lemma_extension,[status(thm),parent(t172:4)],[l58:1]) ).
cnf(t179,plain,
$false,
inference(connection,[status(thm),parent(t178:1)],[t178:1,t172:4]) ).
cnf(t180,plain,
l1_orders_2(sK1),
inference(extension,[status(thm),parent(t172:5)],[f_1_11]) ).
cnf(t181,plain,
$false,
inference(connection,[status(thm),parent(t180:1)],[t180:1,t172:5]) ).
cnf(t182,plain,
l1_orders_2(sK1),
inference(extension,[status(thm),parent(t164:4)],[f_1_11]) ).
cnf(t183,plain,
$false,
inference(connection,[status(thm),parent(t182:1)],[t182:1,t164:4]) ).
cnf(t184,plain,
v2_orders_2(sK1),
inference(lemma_extension,[status(thm),parent(t164:5)],[l43:1]) ).
cnf(t185,plain,
$false,
inference(connection,[status(thm),parent(t184:1)],[t184:1,t164:5]) ).
cnf(t186,plain,
v4_orders_2(sK1),
inference(extension,[status(thm),parent(t164:6)],[f_1_7]) ).
cnf(t187,plain,
$false,
inference(connection,[status(thm),parent(t186:1)],[t186:1,t164:6]) ).
cnf(l57,lemma,
v2_lattice3(sK1),
inference(lemma,[status(cth),parent(t124:9),below(t122:2)],[t124:9]) ).
cnf(t188,plain,
l1_orders_2(sK1),
inference(extension,[status(thm),parent(t124:10)],[f_1_11]) ).
cnf(t189,plain,
$false,
inference(connection,[status(thm),parent(t188:1)],[t188:1,t124:10]) ).
cnf(l65,lemma,
l1_orders_2(sK1),
inference(lemma,[status(cth),parent(t124:10),below(t122:2)],[t124:10]) ).
cnf(t190,plain,
v2_lattice3(sK1),
inference(lemma_extension,[status(thm),parent(t124:11)],[l57:1]) ).
cnf(t191,plain,
$false,
inference(connection,[status(thm),parent(t190:1)],[t190:1,t124:11]) ).
cnf(t192,plain,
v3_lattice3(sK1),
inference(extension,[status(thm),parent(t124:12)],[f_1_10]) ).
cnf(t193,plain,
$false,
inference(connection,[status(thm),parent(t192:1)],[t192:1,t124:12]) ).
cnf(l66,lemma,
v3_lattice3(sK1),
inference(lemma,[status(cth),parent(t124:12),below(t122:2)],[t124:12]) ).
cnf(t194,plain,
( v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v1_funct_1(k7_grcat_1(sK1)) ),
inference(extension,[status(thm),parent(t124:13)],[f_91_4]) ).
cnf(t195,plain,
$false,
inference(connection,[status(thm),parent(t194:1)],[t194:1,t124:13]) ).
cnf(t196,plain,
l1_orders_2(sK1),
inference(lemma_extension,[status(thm),parent(t194:2)],[l65:1]) ).
cnf(t197,plain,
$false,
inference(connection,[status(thm),parent(t196:1)],[t196:1,t194:2]) ).
cnf(t198,plain,
( ~ v1_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v3_struct_0(sK1) ),
inference(extension,[status(thm),parent(t194:3)],[f_20_3]) ).
cnf(t199,plain,
$false,
inference(connection,[status(thm),parent(t198:1)],[t198:1,t194:3]) ).
cnf(t200,plain,
l1_orders_2(sK1),
inference(lemma_extension,[status(thm),parent(t198:2)],[l65:1]) ).
cnf(t201,plain,
$false,
inference(connection,[status(thm),parent(t200:1)],[t200:1,t198:2]) ).
cnf(t202,plain,
v1_lattice3(sK1),
inference(lemma_extension,[status(thm),parent(t198:3)],[l49:1]) ).
cnf(t203,plain,
$false,
inference(connection,[status(thm),parent(t202:1)],[t202:1,t198:3]) ).
cnf(l67,lemma,
v1_funct_1(k7_grcat_1(sK1)),
inference(lemma,[status(cth),parent(t124:13),below(t122:2)],[t124:13]) ).
cnf(t204,plain,
l1_orders_2(sK1),
inference(lemma_extension,[status(thm),parent(t124:14)],[l65:1]) ).
cnf(t205,plain,
$false,
inference(connection,[status(thm),parent(t204:1)],[t204:1,t124:14]) ).
cnf(t206,plain,
v4_orders_2(sK1),
inference(extension,[status(thm),parent(t124:15)],[f_1_7]) ).
cnf(t207,plain,
$false,
inference(connection,[status(thm),parent(t206:1)],[t206:1,t124:15]) ).
cnf(l69,lemma,
v4_orders_2(sK1),
inference(lemma,[status(cth),parent(t124:15),below(t122:2)],[t124:15]) ).
cnf(t208,plain,
m2_relset_1(k7_grcat_1(sK1),u1_struct_0(sK1),u1_struct_0(sK1)),
inference(lemma_extension,[status(thm),parent(t124:16)],[l54:1]) ).
cnf(t209,plain,
$false,
inference(connection,[status(thm),parent(t208:1)],[t208:1,t124:16]) ).
cnf(t210,plain,
v3_orders_2(sK1),
inference(lemma_extension,[status(thm),parent(t124:17)],[l42:1]) ).
cnf(t211,plain,
$false,
inference(connection,[status(thm),parent(t210:1)],[t210:1,t124:17]) ).
cnf(t212,plain,
v1_lattice3(sK1),
inference(lemma_extension,[status(thm),parent(t124:18)],[l49:1]) ).
cnf(t213,plain,
$false,
inference(connection,[status(thm),parent(t212:1)],[t212:1,t124:18]) ).
cnf(t214,plain,
( v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_waybel_1(k1_waybel_1(sK1,sK1,k7_grcat_1(sK1),k7_grcat_1(sK1)),sK1,sK1) ),
inference(extension,[status(thm),parent(t124:19)],[f_128_3]) ).
cnf(t215,plain,
$false,
inference(connection,[status(thm),parent(t214:1)],[t214:1,t124:19]) ).
cnf(t216,plain,
l1_orders_2(sK1),
inference(lemma_extension,[status(thm),parent(t214:2)],[l65:1]) ).
cnf(t217,plain,
$false,
inference(connection,[status(thm),parent(t216:1)],[t216:1,t214:2]) ).
cnf(t218,plain,
( ~ v1_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v3_struct_0(sK1) ),
inference(extension,[status(thm),parent(t214:3)],[f_20_3]) ).
cnf(t219,plain,
$false,
inference(connection,[status(thm),parent(t218:1)],[t218:1,t214:3]) ).
cnf(t220,plain,
l1_orders_2(sK1),
inference(lemma_extension,[status(thm),parent(t218:2)],[l65:1]) ).
cnf(t221,plain,
$false,
inference(connection,[status(thm),parent(t220:1)],[t220:1,t218:2]) ).
cnf(t222,plain,
v1_lattice3(sK1),
inference(lemma_extension,[status(thm),parent(t218:3)],[l49:1]) ).
cnf(t223,plain,
$false,
inference(connection,[status(thm),parent(t222:1)],[t222:1,t218:3]) ).
cnf(t224,plain,
v3_lattice3(sK1),
inference(lemma_extension,[status(thm),parent(t124:20)],[l66:1]) ).
cnf(t225,plain,
$false,
inference(connection,[status(thm),parent(t224:1)],[t224:1,t124:20]) ).
cnf(t226,plain,
v1_funct_1(k7_grcat_1(sK1)),
inference(lemma_extension,[status(thm),parent(t124:21)],[l67:1]) ).
cnf(t227,plain,
$false,
inference(connection,[status(thm),parent(t226:1)],[t226:1,t124:21]) ).
cnf(t228,plain,
( ~ v2_orders_2(sK1)
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v18_waybel_0(k7_grcat_1(sK1),sK1,sK1) ),
inference(extension,[status(thm),parent(t124:22)],[f_92_12]) ).
cnf(t229,plain,
$false,
inference(connection,[status(thm),parent(t228:1)],[t228:1,t124:22]) ).
cnf(t230,plain,
l1_orders_2(sK1),
inference(lemma_extension,[status(thm),parent(t228:2)],[l65:1]) ).
cnf(t231,plain,
$false,
inference(connection,[status(thm),parent(t230:1)],[t230:1,t228:2]) ).
cnf(t232,plain,
( ~ v1_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v3_struct_0(sK1) ),
inference(extension,[status(thm),parent(t228:3)],[f_20_3]) ).
cnf(t233,plain,
$false,
inference(connection,[status(thm),parent(t232:1)],[t232:1,t228:3]) ).
cnf(t234,plain,
l1_orders_2(sK1),
inference(lemma_extension,[status(thm),parent(t232:2)],[l65:1]) ).
cnf(t235,plain,
$false,
inference(connection,[status(thm),parent(t234:1)],[t234:1,t232:2]) ).
cnf(t236,plain,
v1_lattice3(sK1),
inference(lemma_extension,[status(thm),parent(t232:3)],[l49:1]) ).
cnf(t237,plain,
$false,
inference(connection,[status(thm),parent(t236:1)],[t236:1,t232:3]) ).
cnf(t238,plain,
v2_orders_2(sK1),
inference(lemma_extension,[status(thm),parent(t228:4)],[l43:1]) ).
cnf(t239,plain,
$false,
inference(connection,[status(thm),parent(t238:1)],[t238:1,t228:4]) ).
cnf(t240,plain,
v4_orders_2(sK1),
inference(lemma_extension,[status(thm),parent(t124:23)],[l69:1]) ).
cnf(t241,plain,
$false,
inference(connection,[status(thm),parent(t240:1)],[t240:1,t124:23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT356+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03 This is a FOF_THM_RFO_SEQ problem
% 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n015.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sat Sep 19 13:40:48 UTC 2026
% 0.11/0.38 % CPUTime :
% 202.15/202.40 % SZS status Theorem for theBenchmark
% 202.15/202.40 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------