%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LAT355+1 : TPTP v9.2.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:38:17 PM UTC 2026
% Result : Theorem 42.09s 27.76s
% Output : CNFRefutation 42.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 28
% Syntax : Number of formulae : 185 ( 80 unt; 0 def)
% Number of atoms : 1577 ( 85 equ)
% Maximal formula atoms : 190 ( 8 avg)
% Number of connectives : 2395 (1003 ~; 987 |; 336 &)
% ( 5 <=>; 64 =>; 0 <=; 0 <~>)
% Maximal formula depth : 34 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 28 ( 26 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 3 con; 0-4 aty)
% Number of variables : 256 ( 6 sgn 145 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t5_waybel34,conjecture,
! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v1_lattice3(X2)
& v2_lattice3(X2)
& v3_lattice3(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v18_waybel_0(X3,X1,X2)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> k1_waybel34(k7_lattice3(X1),k7_lattice3(X2),k3_waybel34(X1,X2,X3)) = k2_waybel34(X2,X1,X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_waybel34) ).
fof(cc1_lattice3,axiom,
! [X1] :
( l1_orders_2(X1)
=> ( v1_lattice3(X1)
=> ~ v3_struct_0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_lattice3) ).
fof(dt_u1_orders_2,axiom,
! [X1] :
( l1_orders_2(X1)
=> m2_relset_1(u1_orders_2(X1),u1_struct_0(X1),u1_struct_0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u1_orders_2) ).
fof(fc4_waybel_8,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ( ~ v3_struct_0(g1_orders_2(u1_struct_0(X1),u1_orders_2(X1)))
& v1_orders_2(g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_waybel_8) ).
fof(redefinition_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
<=> m1_relset_1(X3,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(dt_g1_orders_2,axiom,
! [X1,X2] :
( m1_relset_1(X2,X1,X1)
=> ( v1_orders_2(g1_orders_2(X1,X2))
& l1_orders_2(g1_orders_2(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_g1_orders_2) ).
fof(free_g1_orders_2,axiom,
! [X1,X2] :
( m1_relset_1(X2,X1,X1)
=> ! [X3,X4] :
( g1_orders_2(X1,X2) = g1_orders_2(X3,X4)
=> ( X1 = X3
& X2 = X4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',free_g1_orders_2) ).
fof(abstractness_v1_orders_2,axiom,
! [X1] :
( l1_orders_2(X1)
=> ( v1_orders_2(X1)
=> X1 = g1_orders_2(u1_struct_0(X1),u1_orders_2(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',abstractness_v1_orders_2) ).
fof(dt_k2_waybel34,axiom,
! [X1,X2,X3] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& l1_orders_2(X1)
& v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v1_lattice3(X2)
& v2_lattice3(X2)
& l1_orders_2(X2)
& v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
& m1_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) )
=> ( v1_funct_1(k2_waybel34(X1,X2,X3))
& v1_funct_2(k2_waybel34(X1,X2,X3),u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(k2_waybel34(X1,X2,X3),u1_struct_0(X1),u1_struct_0(X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_waybel34) ).
fof(d5_lattice3,axiom,
! [X1] :
( l1_orders_2(X1)
=> k7_lattice3(X1) = g1_orders_2(u1_struct_0(X1),k6_relset_1(u1_struct_0(X1),u1_struct_0(X1),u1_orders_2(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_lattice3) ).
fof(redefinition_k6_relset_1,axiom,
! [X1,X2,X3] :
( m1_relset_1(X3,X1,X2)
=> k6_relset_1(X1,X2,X3) = k4_relat_1(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k6_relset_1) ).
fof(d3_waybel34,axiom,
! [X1] :
( l1_orders_2(X1)
=> ! [X2] :
( l1_orders_2(X2)
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> k3_waybel34(X1,X2,X3) = X3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_waybel34) ).
fof(redefinition_k1_waybel_1,axiom,
! [X1,X2,X3,X4] :
( ( l1_orders_2(X1)
& l1_orders_2(X2)
& v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X4)
& v1_funct_2(X4,u1_struct_0(X2),u1_struct_0(X1))
& m1_relset_1(X4,u1_struct_0(X2),u1_struct_0(X1)) )
=> k1_waybel_1(X1,X2,X3,X4) = k4_tarski(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k1_waybel_1) ).
fof(d5_tarski,axiom,
! [X1,X2] : k4_tarski(X1,X2) = k2_tarski(k2_tarski(X1,X2),k1_tarski(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_tarski) ).
fof(dt_k3_waybel34,axiom,
! [X1,X2,X3] :
( ( l1_orders_2(X1)
& l1_orders_2(X2)
& v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( v1_funct_1(k3_waybel34(X1,X2,X3))
& v1_funct_2(k3_waybel34(X1,X2,X3),u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X2)))
& m2_relset_1(k3_waybel34(X1,X2,X3),u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X2))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_waybel34) ).
fof(d2_waybel34,axiom,
! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v1_lattice3(X2)
& v2_lattice3(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
& m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) )
=> ( ( v3_lattice3(X1)
& v3_lattice3(X2)
& v18_waybel_0(X3,X2,X1) )
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( X4 = k2_waybel34(X1,X2,X3)
<=> v3_waybel_1(k1_waybel_1(X1,X2,X4,X3),X1,X2) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_waybel34) ).
fof(fc2_waybel34,axiom,
! [X1,X2,X3] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& l1_orders_2(X1)
& v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v1_lattice3(X2)
& v2_lattice3(X2)
& v3_lattice3(X2)
& l1_orders_2(X2)
& v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
& v18_waybel_0(X3,X2,X1)
& m1_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) )
=> ( v1_relat_1(k2_waybel34(X1,X2,X3))
& v1_funct_1(k2_waybel34(X1,X2,X3))
& ~ v1_xboole_0(k2_waybel34(X1,X2,X3))
& v1_funct_2(k2_waybel34(X1,X2,X3),u1_struct_0(X1),u1_struct_0(X2))
& v1_partfun1(k2_waybel34(X1,X2,X3),u1_struct_0(X1),u1_struct_0(X2))
& v17_waybel_0(k2_waybel34(X1,X2,X3),X1,X2)
& v19_waybel_0(k2_waybel34(X1,X2,X3),X1,X2)
& v21_waybel_0(k2_waybel34(X1,X2,X3),X1,X2)
& v4_waybel_1(k2_waybel34(X1,X2,X3),X1,X2)
& v5_orders_3(k2_waybel34(X1,X2,X3),X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_waybel34) ).
fof(t44_yellow_7,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,u1_struct_0(X2),u1_struct_0(X1))
& m2_relset_1(X4,u1_struct_0(X2),u1_struct_0(X1)) )
=> ! [X5] :
( ( v1_funct_1(X5)
& v1_funct_2(X5,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X2)))
& m2_relset_1(X5,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X2))) )
=> ! [X6] :
( ( v1_funct_1(X6)
& v1_funct_2(X6,u1_struct_0(k7_lattice3(X2)),u1_struct_0(k7_lattice3(X1)))
& m2_relset_1(X6,u1_struct_0(k7_lattice3(X2)),u1_struct_0(k7_lattice3(X1))) )
=> ( ( X3 = X5
& X4 = X6 )
=> ( v3_waybel_1(k1_waybel_1(X1,X2,X3,X4),X1,X2)
<=> v3_waybel_1(k1_waybel_1(k7_lattice3(X2),k7_lattice3(X1),X6,X5),k7_lattice3(X2),k7_lattice3(X1)) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t44_yellow_7) ).
fof(commutativity_k2_tarski,axiom,
! [X1,X2] : k2_tarski(X1,X2) = k2_tarski(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(dt_k7_lattice3,axiom,
! [X1] :
( l1_orders_2(X1)
=> ( v1_orders_2(k7_lattice3(X1))
& l1_orders_2(k7_lattice3(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_lattice3) ).
fof(fc7_yellow_7,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_lattice3(X1)
& l1_orders_2(X1) )
=> ( ~ v3_struct_0(k7_lattice3(X1))
& v1_orders_2(k7_lattice3(X1))
& v1_lattice3(k7_lattice3(X1))
& v2_lattice3(k7_lattice3(X1))
& v3_lattice3(k7_lattice3(X1))
& v1_yellow_0(k7_lattice3(X1))
& v2_yellow_0(k7_lattice3(X1))
& v3_yellow_0(k7_lattice3(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc7_yellow_7) ).
fof(fc6_yellow_7,axiom,
! [X1] :
( ( v1_lattice3(X1)
& l1_orders_2(X1) )
=> ( ~ v3_struct_0(k7_lattice3(X1))
& v1_orders_2(k7_lattice3(X1))
& v2_lattice3(k7_lattice3(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_yellow_7) ).
fof(fc5_yellow_7,axiom,
! [X1] :
( ( v2_lattice3(X1)
& l1_orders_2(X1) )
=> ( ~ v3_struct_0(k7_lattice3(X1))
& v1_orders_2(k7_lattice3(X1))
& v1_lattice3(k7_lattice3(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_yellow_7) ).
fof(d1_waybel34,axiom,
! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v1_lattice3(X2)
& v2_lattice3(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( ( v3_lattice3(X1)
& v3_lattice3(X2)
& v17_waybel_0(X3,X1,X2) )
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,u1_struct_0(X2),u1_struct_0(X1))
& m2_relset_1(X4,u1_struct_0(X2),u1_struct_0(X1)) )
=> ( X4 = k1_waybel34(X1,X2,X3)
<=> v3_waybel_1(k1_waybel_1(X1,X2,X3,X4),X1,X2) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_waybel34) ).
fof(fc3_yellow_7,axiom,
! [X1] :
( ( v4_orders_2(X1)
& l1_orders_2(X1) )
=> ( v1_orders_2(k7_lattice3(X1))
& v4_orders_2(k7_lattice3(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc3_yellow_7) ).
fof(fc2_yellow_7,axiom,
! [X1] :
( ( v3_orders_2(X1)
& l1_orders_2(X1) )
=> ( v1_orders_2(k7_lattice3(X1))
& v3_orders_2(k7_lattice3(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_yellow_7) ).
fof(fc1_yellow_7,axiom,
! [X1] :
( ( v2_orders_2(X1)
& l1_orders_2(X1) )
=> ( v1_orders_2(k7_lattice3(X1))
& v2_orders_2(k7_lattice3(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_yellow_7) ).
fof(fc4_waybel34,axiom,
! [X1,X2,X3] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& l1_orders_2(X1)
& v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v1_lattice3(X2)
& v2_lattice3(X2)
& v3_lattice3(X2)
& l1_orders_2(X2)
& v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v18_waybel_0(X3,X1,X2)
& m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( v1_relat_1(k3_waybel34(X1,X2,X3))
& v1_funct_1(k3_waybel34(X1,X2,X3))
& ~ v1_xboole_0(k3_waybel34(X1,X2,X3))
& v1_funct_2(k3_waybel34(X1,X2,X3),u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X2)))
& v1_partfun1(k3_waybel34(X1,X2,X3),u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X2)))
& v17_waybel_0(k3_waybel34(X1,X2,X3),k7_lattice3(X1),k7_lattice3(X2))
& v19_waybel_0(k3_waybel34(X1,X2,X3),k7_lattice3(X1),k7_lattice3(X2))
& v21_waybel_0(k3_waybel34(X1,X2,X3),k7_lattice3(X1),k7_lattice3(X2))
& v4_waybel_1(k3_waybel34(X1,X2,X3),k7_lattice3(X1),k7_lattice3(X2))
& v5_orders_3(k3_waybel34(X1,X2,X3),k7_lattice3(X1),k7_lattice3(X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_waybel34) ).
fof(c_0_28,negated_conjecture,
~ ! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v1_lattice3(X2)
& v2_lattice3(X2)
& v3_lattice3(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v18_waybel_0(X3,X1,X2)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> k1_waybel34(k7_lattice3(X1),k7_lattice3(X2),k3_waybel34(X1,X2,X3)) = k2_waybel34(X2,X1,X3) ) ) ),
inference(assume_negation,[status(cth)],[t5_waybel34]) ).
fof(c_0_29,plain,
! [X1] :
( l1_orders_2(X1)
=> ( v1_lattice3(X1)
=> ~ v3_struct_0(X1) ) ),
inference(fof_simplification,[status(thm)],[cc1_lattice3]) ).
fof(c_0_30,plain,
! [X455] :
( ~ l1_orders_2(X455)
| m2_relset_1(u1_orders_2(X455),u1_struct_0(X455),u1_struct_0(X455)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u1_orders_2])]) ).
fof(c_0_31,negated_conjecture,
( v2_orders_2(esk1_0)
& v3_orders_2(esk1_0)
& v4_orders_2(esk1_0)
& v1_lattice3(esk1_0)
& v2_lattice3(esk1_0)
& v3_lattice3(esk1_0)
& l1_orders_2(esk1_0)
& v2_orders_2(esk2_0)
& v3_orders_2(esk2_0)
& v4_orders_2(esk2_0)
& v1_lattice3(esk2_0)
& v2_lattice3(esk2_0)
& v3_lattice3(esk2_0)
& l1_orders_2(esk2_0)
& v1_funct_1(esk3_0)
& v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
& v18_waybel_0(esk3_0,esk1_0,esk2_0)
& m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
& k1_waybel34(k7_lattice3(esk1_0),k7_lattice3(esk2_0),k3_waybel34(esk1_0,esk2_0,esk3_0)) != k2_waybel34(esk2_0,esk1_0,esk3_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])]) ).
fof(c_0_32,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ( ~ v3_struct_0(g1_orders_2(u1_struct_0(X1),u1_orders_2(X1)))
& v1_orders_2(g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))) ) ),
inference(fof_simplification,[status(thm)],[fc4_waybel_8]) ).
fof(c_0_33,plain,
! [X348] :
( ~ l1_orders_2(X348)
| ~ v1_lattice3(X348)
| ~ v3_struct_0(X348) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])]) ).
fof(c_0_34,plain,
! [X595,X596,X597] :
( ( ~ m2_relset_1(X597,X595,X596)
| m1_relset_1(X597,X595,X596) )
& ( ~ m1_relset_1(X597,X595,X596)
| m2_relset_1(X597,X595,X596) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).
cnf(c_0_35,plain,
( m2_relset_1(u1_orders_2(X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_36,negated_conjecture,
l1_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_37,negated_conjecture,
l1_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_38,plain,
! [X514] :
( ( ~ v3_struct_0(g1_orders_2(u1_struct_0(X514),u1_orders_2(X514)))
| v3_struct_0(X514)
| ~ l1_orders_2(X514) )
& ( v1_orders_2(g1_orders_2(u1_struct_0(X514),u1_orders_2(X514)))
| v3_struct_0(X514)
| ~ l1_orders_2(X514) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])]) ).
cnf(c_0_39,plain,
( ~ l1_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_40,negated_conjecture,
v1_lattice3(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_41,plain,
! [X431,X432] :
( ( v1_orders_2(g1_orders_2(X431,X432))
| ~ m1_relset_1(X432,X431,X431) )
& ( l1_orders_2(g1_orders_2(X431,X432))
| ~ m1_relset_1(X432,X431,X431) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_g1_orders_2])])]) ).
cnf(c_0_42,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_43,negated_conjecture,
m2_relset_1(u1_orders_2(esk2_0),u1_struct_0(esk2_0),u1_struct_0(esk2_0)),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_44,negated_conjecture,
v1_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_45,negated_conjecture,
m2_relset_1(u1_orders_2(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_35,c_0_37]) ).
fof(c_0_46,plain,
! [X531,X532,X533,X534] :
( ( X531 = X533
| g1_orders_2(X531,X532) != g1_orders_2(X533,X534)
| ~ m1_relset_1(X532,X531,X531) )
& ( X532 = X534
| g1_orders_2(X531,X532) != g1_orders_2(X533,X534)
| ~ m1_relset_1(X532,X531,X531) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[free_g1_orders_2])])])]) ).
fof(c_0_47,plain,
! [X318] :
( ~ l1_orders_2(X318)
| ~ v1_orders_2(X318)
| X318 = g1_orders_2(u1_struct_0(X318),u1_orders_2(X318)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[abstractness_v1_orders_2])]) ).
cnf(c_0_48,plain,
( v1_orders_2(g1_orders_2(u1_struct_0(X1),u1_orders_2(X1)))
| v3_struct_0(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_49,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_36]),c_0_40])]) ).
cnf(c_0_50,plain,
( l1_orders_2(g1_orders_2(X1,X2))
| ~ m1_relset_1(X2,X1,X1) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_51,negated_conjecture,
m1_relset_1(u1_orders_2(esk2_0),u1_struct_0(esk2_0),u1_struct_0(esk2_0)),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_52,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_37]),c_0_44])]) ).
cnf(c_0_53,negated_conjecture,
m1_relset_1(u1_orders_2(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_42,c_0_45]) ).
cnf(c_0_54,plain,
( X1 = X2
| g1_orders_2(X1,X3) != g1_orders_2(X2,X4)
| ~ m1_relset_1(X3,X1,X1) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_55,plain,
( X1 = g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
| ~ l1_orders_2(X1)
| ~ v1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_56,negated_conjecture,
v1_orders_2(g1_orders_2(u1_struct_0(esk2_0),u1_orders_2(esk2_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_36]),c_0_49]) ).
cnf(c_0_57,negated_conjecture,
l1_orders_2(g1_orders_2(u1_struct_0(esk2_0),u1_orders_2(esk2_0))),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_58,negated_conjecture,
v1_orders_2(g1_orders_2(u1_struct_0(esk1_0),u1_orders_2(esk1_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_37]),c_0_52]) ).
cnf(c_0_59,negated_conjecture,
l1_orders_2(g1_orders_2(u1_struct_0(esk1_0),u1_orders_2(esk1_0))),
inference(spm,[status(thm)],[c_0_50,c_0_53]) ).
fof(c_0_60,plain,
! [X440,X441,X442] :
( ( v1_funct_1(k2_waybel34(X440,X441,X442))
| ~ v2_orders_2(X440)
| ~ v3_orders_2(X440)
| ~ v4_orders_2(X440)
| ~ v1_lattice3(X440)
| ~ v2_lattice3(X440)
| ~ l1_orders_2(X440)
| ~ v2_orders_2(X441)
| ~ v3_orders_2(X441)
| ~ v4_orders_2(X441)
| ~ v1_lattice3(X441)
| ~ v2_lattice3(X441)
| ~ l1_orders_2(X441)
| ~ v1_funct_1(X442)
| ~ v1_funct_2(X442,u1_struct_0(X441),u1_struct_0(X440))
| ~ m1_relset_1(X442,u1_struct_0(X441),u1_struct_0(X440)) )
& ( v1_funct_2(k2_waybel34(X440,X441,X442),u1_struct_0(X440),u1_struct_0(X441))
| ~ v2_orders_2(X440)
| ~ v3_orders_2(X440)
| ~ v4_orders_2(X440)
| ~ v1_lattice3(X440)
| ~ v2_lattice3(X440)
| ~ l1_orders_2(X440)
| ~ v2_orders_2(X441)
| ~ v3_orders_2(X441)
| ~ v4_orders_2(X441)
| ~ v1_lattice3(X441)
| ~ v2_lattice3(X441)
| ~ l1_orders_2(X441)
| ~ v1_funct_1(X442)
| ~ v1_funct_2(X442,u1_struct_0(X441),u1_struct_0(X440))
| ~ m1_relset_1(X442,u1_struct_0(X441),u1_struct_0(X440)) )
& ( m2_relset_1(k2_waybel34(X440,X441,X442),u1_struct_0(X440),u1_struct_0(X441))
| ~ v2_orders_2(X440)
| ~ v3_orders_2(X440)
| ~ v4_orders_2(X440)
| ~ v1_lattice3(X440)
| ~ v2_lattice3(X440)
| ~ l1_orders_2(X440)
| ~ v2_orders_2(X441)
| ~ v3_orders_2(X441)
| ~ v4_orders_2(X441)
| ~ v1_lattice3(X441)
| ~ v2_lattice3(X441)
| ~ l1_orders_2(X441)
| ~ v1_funct_1(X442)
| ~ v1_funct_2(X442,u1_struct_0(X441),u1_struct_0(X440))
| ~ m1_relset_1(X442,u1_struct_0(X441),u1_struct_0(X440)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k2_waybel34])])]) ).
cnf(c_0_61,negated_conjecture,
m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_62,negated_conjecture,
( u1_struct_0(esk2_0) = X1
| g1_orders_2(u1_struct_0(esk2_0),u1_orders_2(esk2_0)) != g1_orders_2(X1,X2) ),
inference(spm,[status(thm)],[c_0_54,c_0_51]) ).
cnf(c_0_63,negated_conjecture,
g1_orders_2(u1_struct_0(g1_orders_2(u1_struct_0(esk2_0),u1_orders_2(esk2_0))),u1_orders_2(g1_orders_2(u1_struct_0(esk2_0),u1_orders_2(esk2_0)))) = g1_orders_2(u1_struct_0(esk2_0),u1_orders_2(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57])]) ).
fof(c_0_64,plain,
! [X428] :
( ~ l1_orders_2(X428)
| k7_lattice3(X428) = g1_orders_2(u1_struct_0(X428),k6_relset_1(u1_struct_0(X428),u1_struct_0(X428),u1_orders_2(X428))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d5_lattice3])]) ).
fof(c_0_65,plain,
! [X592,X593,X594] :
( ~ m1_relset_1(X594,X592,X593)
| k6_relset_1(X592,X593,X594) = k4_relat_1(X594) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k6_relset_1])]) ).
cnf(c_0_66,negated_conjecture,
( u1_struct_0(esk1_0) = X1
| g1_orders_2(u1_struct_0(esk1_0),u1_orders_2(esk1_0)) != g1_orders_2(X1,X2) ),
inference(spm,[status(thm)],[c_0_54,c_0_53]) ).
cnf(c_0_67,negated_conjecture,
g1_orders_2(u1_struct_0(g1_orders_2(u1_struct_0(esk1_0),u1_orders_2(esk1_0))),u1_orders_2(g1_orders_2(u1_struct_0(esk1_0),u1_orders_2(esk1_0)))) = g1_orders_2(u1_struct_0(esk1_0),u1_orders_2(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_58]),c_0_59])]) ).
cnf(c_0_68,plain,
( m2_relset_1(k2_waybel34(X1,X2,X3),u1_struct_0(X1),u1_struct_0(X2))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ m1_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_69,negated_conjecture,
m1_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(spm,[status(thm)],[c_0_42,c_0_61]) ).
cnf(c_0_70,negated_conjecture,
v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_71,negated_conjecture,
v1_funct_1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_72,negated_conjecture,
v2_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_73,negated_conjecture,
v2_lattice3(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_74,negated_conjecture,
v4_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_75,negated_conjecture,
v4_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_76,negated_conjecture,
v3_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_77,negated_conjecture,
v3_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_78,negated_conjecture,
v2_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_79,negated_conjecture,
v2_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_80,plain,
! [X425,X426,X427] :
( ~ l1_orders_2(X425)
| ~ l1_orders_2(X426)
| ~ v1_funct_1(X427)
| ~ v1_funct_2(X427,u1_struct_0(X425),u1_struct_0(X426))
| ~ m2_relset_1(X427,u1_struct_0(X425),u1_struct_0(X426))
| k3_waybel34(X425,X426,X427) = X427 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_waybel34])])]) ).
cnf(c_0_81,plain,
( v1_funct_2(k2_waybel34(X1,X2,X3),u1_struct_0(X1),u1_struct_0(X2))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ m1_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_82,plain,
( v1_funct_1(k2_waybel34(X1,X2,X3))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ m1_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_83,plain,
( X1 = X2
| g1_orders_2(X3,X1) != g1_orders_2(X4,X2)
| ~ m1_relset_1(X1,X3,X3) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_84,negated_conjecture,
u1_struct_0(g1_orders_2(u1_struct_0(esk2_0),u1_orders_2(esk2_0))) = u1_struct_0(esk2_0),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_85,plain,
( k7_lattice3(X1) = g1_orders_2(u1_struct_0(X1),k6_relset_1(u1_struct_0(X1),u1_struct_0(X1),u1_orders_2(X1)))
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_86,plain,
( k6_relset_1(X2,X3,X1) = k4_relat_1(X1)
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_87,negated_conjecture,
u1_struct_0(g1_orders_2(u1_struct_0(esk1_0),u1_orders_2(esk1_0))) = u1_struct_0(esk1_0),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
fof(c_0_88,plain,
! [X588,X589,X590,X591] :
( ~ l1_orders_2(X588)
| ~ l1_orders_2(X589)
| ~ v1_funct_1(X590)
| ~ v1_funct_2(X590,u1_struct_0(X588),u1_struct_0(X589))
| ~ m1_relset_1(X590,u1_struct_0(X588),u1_struct_0(X589))
| ~ v1_funct_1(X591)
| ~ v1_funct_2(X591,u1_struct_0(X589),u1_struct_0(X588))
| ~ m1_relset_1(X591,u1_struct_0(X589),u1_struct_0(X588))
| k1_waybel_1(X588,X589,X590,X591) = k4_tarski(X590,X591) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k1_waybel_1])]) ).
fof(c_0_89,plain,
! [X429,X430] : k4_tarski(X429,X430) = k2_tarski(k2_tarski(X429,X430),k1_tarski(X429)),
inference(variable_rename,[status(thm)],[d5_tarski]) ).
fof(c_0_90,plain,
! [X443,X444,X445] :
( ( v1_funct_1(k3_waybel34(X443,X444,X445))
| ~ l1_orders_2(X443)
| ~ l1_orders_2(X444)
| ~ v1_funct_1(X445)
| ~ v1_funct_2(X445,u1_struct_0(X443),u1_struct_0(X444))
| ~ m1_relset_1(X445,u1_struct_0(X443),u1_struct_0(X444)) )
& ( v1_funct_2(k3_waybel34(X443,X444,X445),u1_struct_0(k7_lattice3(X443)),u1_struct_0(k7_lattice3(X444)))
| ~ l1_orders_2(X443)
| ~ l1_orders_2(X444)
| ~ v1_funct_1(X445)
| ~ v1_funct_2(X445,u1_struct_0(X443),u1_struct_0(X444))
| ~ m1_relset_1(X445,u1_struct_0(X443),u1_struct_0(X444)) )
& ( m2_relset_1(k3_waybel34(X443,X444,X445),u1_struct_0(k7_lattice3(X443)),u1_struct_0(k7_lattice3(X444)))
| ~ l1_orders_2(X443)
| ~ l1_orders_2(X444)
| ~ v1_funct_1(X445)
| ~ v1_funct_2(X445,u1_struct_0(X443),u1_struct_0(X444))
| ~ m1_relset_1(X445,u1_struct_0(X443),u1_struct_0(X444)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k3_waybel34])])]) ).
cnf(c_0_91,negated_conjecture,
m2_relset_1(k2_waybel34(esk2_0,esk1_0,esk3_0),u1_struct_0(esk2_0),u1_struct_0(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70]),c_0_71]),c_0_37]),c_0_36]),c_0_72]),c_0_73]),c_0_44]),c_0_40]),c_0_74]),c_0_75]),c_0_76]),c_0_77]),c_0_78]),c_0_79])]) ).
cnf(c_0_92,plain,
( k3_waybel34(X1,X2,X3) = X3
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_93,negated_conjecture,
v1_funct_2(k2_waybel34(esk2_0,esk1_0,esk3_0),u1_struct_0(esk2_0),u1_struct_0(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_69]),c_0_70]),c_0_71]),c_0_37]),c_0_36]),c_0_72]),c_0_73]),c_0_44]),c_0_40]),c_0_74]),c_0_75]),c_0_76]),c_0_77]),c_0_78]),c_0_79])]) ).
cnf(c_0_94,negated_conjecture,
v1_funct_1(k2_waybel34(esk2_0,esk1_0,esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_69]),c_0_70]),c_0_71]),c_0_37]),c_0_36]),c_0_72]),c_0_73]),c_0_44]),c_0_40]),c_0_74]),c_0_75]),c_0_76]),c_0_77]),c_0_78]),c_0_79])]) ).
cnf(c_0_95,negated_conjecture,
( u1_orders_2(esk2_0) = X1
| g1_orders_2(u1_struct_0(esk2_0),u1_orders_2(esk2_0)) != g1_orders_2(X2,X1) ),
inference(spm,[status(thm)],[c_0_83,c_0_51]) ).
cnf(c_0_96,negated_conjecture,
g1_orders_2(u1_struct_0(esk2_0),u1_orders_2(g1_orders_2(u1_struct_0(esk2_0),u1_orders_2(esk2_0)))) = g1_orders_2(u1_struct_0(esk2_0),u1_orders_2(esk2_0)),
inference(rw,[status(thm)],[c_0_63,c_0_84]) ).
cnf(c_0_97,plain,
( g1_orders_2(u1_struct_0(X1),k4_relat_1(u1_orders_2(X1))) = k7_lattice3(X1)
| ~ m1_relset_1(u1_orders_2(X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ l1_orders_2(X1) ),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_98,negated_conjecture,
( u1_orders_2(esk1_0) = X1
| g1_orders_2(u1_struct_0(esk1_0),u1_orders_2(esk1_0)) != g1_orders_2(X2,X1) ),
inference(spm,[status(thm)],[c_0_83,c_0_53]) ).
cnf(c_0_99,negated_conjecture,
g1_orders_2(u1_struct_0(esk1_0),u1_orders_2(g1_orders_2(u1_struct_0(esk1_0),u1_orders_2(esk1_0)))) = g1_orders_2(u1_struct_0(esk1_0),u1_orders_2(esk1_0)),
inference(rw,[status(thm)],[c_0_67,c_0_87]) ).
fof(c_0_100,plain,
! [X421,X422,X423,X424] :
( ( X424 != k2_waybel34(X421,X422,X423)
| v3_waybel_1(k1_waybel_1(X421,X422,X424,X423),X421,X422)
| ~ v1_funct_1(X424)
| ~ v1_funct_2(X424,u1_struct_0(X421),u1_struct_0(X422))
| ~ m2_relset_1(X424,u1_struct_0(X421),u1_struct_0(X422))
| ~ v3_lattice3(X421)
| ~ v3_lattice3(X422)
| ~ v18_waybel_0(X423,X422,X421)
| ~ v1_funct_1(X423)
| ~ v1_funct_2(X423,u1_struct_0(X422),u1_struct_0(X421))
| ~ m2_relset_1(X423,u1_struct_0(X422),u1_struct_0(X421))
| ~ v2_orders_2(X422)
| ~ v3_orders_2(X422)
| ~ v4_orders_2(X422)
| ~ v1_lattice3(X422)
| ~ v2_lattice3(X422)
| ~ l1_orders_2(X422)
| ~ v2_orders_2(X421)
| ~ v3_orders_2(X421)
| ~ v4_orders_2(X421)
| ~ v1_lattice3(X421)
| ~ v2_lattice3(X421)
| ~ l1_orders_2(X421) )
& ( ~ v3_waybel_1(k1_waybel_1(X421,X422,X424,X423),X421,X422)
| X424 = k2_waybel34(X421,X422,X423)
| ~ v1_funct_1(X424)
| ~ v1_funct_2(X424,u1_struct_0(X421),u1_struct_0(X422))
| ~ m2_relset_1(X424,u1_struct_0(X421),u1_struct_0(X422))
| ~ v3_lattice3(X421)
| ~ v3_lattice3(X422)
| ~ v18_waybel_0(X423,X422,X421)
| ~ v1_funct_1(X423)
| ~ v1_funct_2(X423,u1_struct_0(X422),u1_struct_0(X421))
| ~ m2_relset_1(X423,u1_struct_0(X422),u1_struct_0(X421))
| ~ v2_orders_2(X422)
| ~ v3_orders_2(X422)
| ~ v4_orders_2(X422)
| ~ v1_lattice3(X422)
| ~ v2_lattice3(X422)
| ~ l1_orders_2(X422)
| ~ v2_orders_2(X421)
| ~ v3_orders_2(X421)
| ~ v4_orders_2(X421)
| ~ v1_lattice3(X421)
| ~ v2_lattice3(X421)
| ~ l1_orders_2(X421) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_waybel34])])])]) ).
fof(c_0_101,plain,
! [X1,X2,X3] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& l1_orders_2(X1)
& v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v1_lattice3(X2)
& v2_lattice3(X2)
& v3_lattice3(X2)
& l1_orders_2(X2)
& v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
& v18_waybel_0(X3,X2,X1)
& m1_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) )
=> ( v1_relat_1(k2_waybel34(X1,X2,X3))
& v1_funct_1(k2_waybel34(X1,X2,X3))
& ~ v1_xboole_0(k2_waybel34(X1,X2,X3))
& v1_funct_2(k2_waybel34(X1,X2,X3),u1_struct_0(X1),u1_struct_0(X2))
& v1_partfun1(k2_waybel34(X1,X2,X3),u1_struct_0(X1),u1_struct_0(X2))
& v17_waybel_0(k2_waybel34(X1,X2,X3),X1,X2)
& v19_waybel_0(k2_waybel34(X1,X2,X3),X1,X2)
& v21_waybel_0(k2_waybel34(X1,X2,X3),X1,X2)
& v4_waybel_1(k2_waybel34(X1,X2,X3),X1,X2)
& v5_orders_3(k2_waybel34(X1,X2,X3),X1,X2) ) ),
inference(fof_simplification,[status(thm)],[fc2_waybel34]) ).
fof(c_0_102,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,u1_struct_0(X2),u1_struct_0(X1))
& m2_relset_1(X4,u1_struct_0(X2),u1_struct_0(X1)) )
=> ! [X5] :
( ( v1_funct_1(X5)
& v1_funct_2(X5,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X2)))
& m2_relset_1(X5,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X2))) )
=> ! [X6] :
( ( v1_funct_1(X6)
& v1_funct_2(X6,u1_struct_0(k7_lattice3(X2)),u1_struct_0(k7_lattice3(X1)))
& m2_relset_1(X6,u1_struct_0(k7_lattice3(X2)),u1_struct_0(k7_lattice3(X1))) )
=> ( ( X3 = X5
& X4 = X6 )
=> ( v3_waybel_1(k1_waybel_1(X1,X2,X3,X4),X1,X2)
<=> v3_waybel_1(k1_waybel_1(k7_lattice3(X2),k7_lattice3(X1),X6,X5),k7_lattice3(X2),k7_lattice3(X1)) ) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t44_yellow_7]) ).
cnf(c_0_103,plain,
( k1_waybel_1(X1,X2,X3,X4) = k4_tarski(X3,X4)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X2),u1_struct_0(X1))
| ~ m1_relset_1(X4,u1_struct_0(X2),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_104,plain,
k4_tarski(X1,X2) = k2_tarski(k2_tarski(X1,X2),k1_tarski(X1)),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
fof(c_0_105,plain,
! [X415,X416] : k2_tarski(X415,X416) = k2_tarski(X416,X415),
inference(variable_rename,[status(thm)],[commutativity_k2_tarski]) ).
cnf(c_0_106,plain,
( m2_relset_1(k3_waybel34(X1,X2,X3),u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X2)))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_107,negated_conjecture,
m1_relset_1(k2_waybel34(esk2_0,esk1_0,esk3_0),u1_struct_0(esk2_0),u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_42,c_0_91]) ).
cnf(c_0_108,negated_conjecture,
k3_waybel34(esk2_0,esk1_0,k2_waybel34(esk2_0,esk1_0,esk3_0)) = k2_waybel34(esk2_0,esk1_0,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_91]),c_0_93]),c_0_94]),c_0_37]),c_0_36])]) ).
fof(c_0_109,plain,
! [X450] :
( ( v1_orders_2(k7_lattice3(X450))
| ~ l1_orders_2(X450) )
& ( l1_orders_2(k7_lattice3(X450))
| ~ l1_orders_2(X450) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k7_lattice3])])]) ).
cnf(c_0_110,negated_conjecture,
u1_orders_2(g1_orders_2(u1_struct_0(esk2_0),u1_orders_2(esk2_0))) = u1_orders_2(esk2_0),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_111,negated_conjecture,
g1_orders_2(u1_struct_0(esk2_0),k4_relat_1(u1_orders_2(esk2_0))) = k7_lattice3(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_51]),c_0_36])]) ).
cnf(c_0_112,negated_conjecture,
u1_orders_2(g1_orders_2(u1_struct_0(esk1_0),u1_orders_2(esk1_0))) = u1_orders_2(esk1_0),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_113,negated_conjecture,
g1_orders_2(u1_struct_0(esk1_0),k4_relat_1(u1_orders_2(esk1_0))) = k7_lattice3(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_53]),c_0_37])]) ).
fof(c_0_114,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_lattice3(X1)
& l1_orders_2(X1) )
=> ( ~ v3_struct_0(k7_lattice3(X1))
& v1_orders_2(k7_lattice3(X1))
& v1_lattice3(k7_lattice3(X1))
& v2_lattice3(k7_lattice3(X1))
& v3_lattice3(k7_lattice3(X1))
& v1_yellow_0(k7_lattice3(X1))
& v2_yellow_0(k7_lattice3(X1))
& v3_yellow_0(k7_lattice3(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc7_yellow_7]) ).
fof(c_0_115,plain,
! [X1] :
( ( v1_lattice3(X1)
& l1_orders_2(X1) )
=> ( ~ v3_struct_0(k7_lattice3(X1))
& v1_orders_2(k7_lattice3(X1))
& v2_lattice3(k7_lattice3(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc6_yellow_7]) ).
fof(c_0_116,plain,
! [X1] :
( ( v2_lattice3(X1)
& l1_orders_2(X1) )
=> ( ~ v3_struct_0(k7_lattice3(X1))
& v1_orders_2(k7_lattice3(X1))
& v1_lattice3(k7_lattice3(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc5_yellow_7]) ).
fof(c_0_117,plain,
! [X417,X418,X419,X420] :
( ( X420 != k1_waybel34(X417,X418,X419)
| v3_waybel_1(k1_waybel_1(X417,X418,X419,X420),X417,X418)
| ~ v1_funct_1(X420)
| ~ v1_funct_2(X420,u1_struct_0(X418),u1_struct_0(X417))
| ~ m2_relset_1(X420,u1_struct_0(X418),u1_struct_0(X417))
| ~ v3_lattice3(X417)
| ~ v3_lattice3(X418)
| ~ v17_waybel_0(X419,X417,X418)
| ~ v1_funct_1(X419)
| ~ v1_funct_2(X419,u1_struct_0(X417),u1_struct_0(X418))
| ~ m2_relset_1(X419,u1_struct_0(X417),u1_struct_0(X418))
| ~ v2_orders_2(X418)
| ~ v3_orders_2(X418)
| ~ v4_orders_2(X418)
| ~ v1_lattice3(X418)
| ~ v2_lattice3(X418)
| ~ l1_orders_2(X418)
| ~ v2_orders_2(X417)
| ~ v3_orders_2(X417)
| ~ v4_orders_2(X417)
| ~ v1_lattice3(X417)
| ~ v2_lattice3(X417)
| ~ l1_orders_2(X417) )
& ( ~ v3_waybel_1(k1_waybel_1(X417,X418,X419,X420),X417,X418)
| X420 = k1_waybel34(X417,X418,X419)
| ~ v1_funct_1(X420)
| ~ v1_funct_2(X420,u1_struct_0(X418),u1_struct_0(X417))
| ~ m2_relset_1(X420,u1_struct_0(X418),u1_struct_0(X417))
| ~ v3_lattice3(X417)
| ~ v3_lattice3(X418)
| ~ v17_waybel_0(X419,X417,X418)
| ~ v1_funct_1(X419)
| ~ v1_funct_2(X419,u1_struct_0(X417),u1_struct_0(X418))
| ~ m2_relset_1(X419,u1_struct_0(X417),u1_struct_0(X418))
| ~ v2_orders_2(X418)
| ~ v3_orders_2(X418)
| ~ v4_orders_2(X418)
| ~ v1_lattice3(X418)
| ~ v2_lattice3(X418)
| ~ l1_orders_2(X418)
| ~ v2_orders_2(X417)
| ~ v3_orders_2(X417)
| ~ v4_orders_2(X417)
| ~ v1_lattice3(X417)
| ~ v2_lattice3(X417)
| ~ l1_orders_2(X417) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_waybel34])])])]) ).
cnf(c_0_118,plain,
( v3_waybel_1(k1_waybel_1(X2,X3,X1,X4),X2,X3)
| X1 != k2_waybel34(X2,X3,X4)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ m2_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v3_lattice3(X2)
| ~ v3_lattice3(X3)
| ~ v18_waybel_0(X4,X3,X2)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X3),u1_struct_0(X2))
| ~ m2_relset_1(X4,u1_struct_0(X3),u1_struct_0(X2))
| ~ v2_orders_2(X3)
| ~ v3_orders_2(X3)
| ~ v4_orders_2(X3)
| ~ v1_lattice3(X3)
| ~ v2_lattice3(X3)
| ~ l1_orders_2(X3)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
fof(c_0_119,plain,
! [X500,X501,X502] :
( ( v1_relat_1(k2_waybel34(X500,X501,X502))
| ~ v2_orders_2(X500)
| ~ v3_orders_2(X500)
| ~ v4_orders_2(X500)
| ~ v1_lattice3(X500)
| ~ v2_lattice3(X500)
| ~ v3_lattice3(X500)
| ~ l1_orders_2(X500)
| ~ v2_orders_2(X501)
| ~ v3_orders_2(X501)
| ~ v4_orders_2(X501)
| ~ v1_lattice3(X501)
| ~ v2_lattice3(X501)
| ~ v3_lattice3(X501)
| ~ l1_orders_2(X501)
| ~ v1_funct_1(X502)
| ~ v1_funct_2(X502,u1_struct_0(X501),u1_struct_0(X500))
| ~ v18_waybel_0(X502,X501,X500)
| ~ m1_relset_1(X502,u1_struct_0(X501),u1_struct_0(X500)) )
& ( v1_funct_1(k2_waybel34(X500,X501,X502))
| ~ v2_orders_2(X500)
| ~ v3_orders_2(X500)
| ~ v4_orders_2(X500)
| ~ v1_lattice3(X500)
| ~ v2_lattice3(X500)
| ~ v3_lattice3(X500)
| ~ l1_orders_2(X500)
| ~ v2_orders_2(X501)
| ~ v3_orders_2(X501)
| ~ v4_orders_2(X501)
| ~ v1_lattice3(X501)
| ~ v2_lattice3(X501)
| ~ v3_lattice3(X501)
| ~ l1_orders_2(X501)
| ~ v1_funct_1(X502)
| ~ v1_funct_2(X502,u1_struct_0(X501),u1_struct_0(X500))
| ~ v18_waybel_0(X502,X501,X500)
| ~ m1_relset_1(X502,u1_struct_0(X501),u1_struct_0(X500)) )
& ( ~ v1_xboole_0(k2_waybel34(X500,X501,X502))
| ~ v2_orders_2(X500)
| ~ v3_orders_2(X500)
| ~ v4_orders_2(X500)
| ~ v1_lattice3(X500)
| ~ v2_lattice3(X500)
| ~ v3_lattice3(X500)
| ~ l1_orders_2(X500)
| ~ v2_orders_2(X501)
| ~ v3_orders_2(X501)
| ~ v4_orders_2(X501)
| ~ v1_lattice3(X501)
| ~ v2_lattice3(X501)
| ~ v3_lattice3(X501)
| ~ l1_orders_2(X501)
| ~ v1_funct_1(X502)
| ~ v1_funct_2(X502,u1_struct_0(X501),u1_struct_0(X500))
| ~ v18_waybel_0(X502,X501,X500)
| ~ m1_relset_1(X502,u1_struct_0(X501),u1_struct_0(X500)) )
& ( v1_funct_2(k2_waybel34(X500,X501,X502),u1_struct_0(X500),u1_struct_0(X501))
| ~ v2_orders_2(X500)
| ~ v3_orders_2(X500)
| ~ v4_orders_2(X500)
| ~ v1_lattice3(X500)
| ~ v2_lattice3(X500)
| ~ v3_lattice3(X500)
| ~ l1_orders_2(X500)
| ~ v2_orders_2(X501)
| ~ v3_orders_2(X501)
| ~ v4_orders_2(X501)
| ~ v1_lattice3(X501)
| ~ v2_lattice3(X501)
| ~ v3_lattice3(X501)
| ~ l1_orders_2(X501)
| ~ v1_funct_1(X502)
| ~ v1_funct_2(X502,u1_struct_0(X501),u1_struct_0(X500))
| ~ v18_waybel_0(X502,X501,X500)
| ~ m1_relset_1(X502,u1_struct_0(X501),u1_struct_0(X500)) )
& ( v1_partfun1(k2_waybel34(X500,X501,X502),u1_struct_0(X500),u1_struct_0(X501))
| ~ v2_orders_2(X500)
| ~ v3_orders_2(X500)
| ~ v4_orders_2(X500)
| ~ v1_lattice3(X500)
| ~ v2_lattice3(X500)
| ~ v3_lattice3(X500)
| ~ l1_orders_2(X500)
| ~ v2_orders_2(X501)
| ~ v3_orders_2(X501)
| ~ v4_orders_2(X501)
| ~ v1_lattice3(X501)
| ~ v2_lattice3(X501)
| ~ v3_lattice3(X501)
| ~ l1_orders_2(X501)
| ~ v1_funct_1(X502)
| ~ v1_funct_2(X502,u1_struct_0(X501),u1_struct_0(X500))
| ~ v18_waybel_0(X502,X501,X500)
| ~ m1_relset_1(X502,u1_struct_0(X501),u1_struct_0(X500)) )
& ( v17_waybel_0(k2_waybel34(X500,X501,X502),X500,X501)
| ~ v2_orders_2(X500)
| ~ v3_orders_2(X500)
| ~ v4_orders_2(X500)
| ~ v1_lattice3(X500)
| ~ v2_lattice3(X500)
| ~ v3_lattice3(X500)
| ~ l1_orders_2(X500)
| ~ v2_orders_2(X501)
| ~ v3_orders_2(X501)
| ~ v4_orders_2(X501)
| ~ v1_lattice3(X501)
| ~ v2_lattice3(X501)
| ~ v3_lattice3(X501)
| ~ l1_orders_2(X501)
| ~ v1_funct_1(X502)
| ~ v1_funct_2(X502,u1_struct_0(X501),u1_struct_0(X500))
| ~ v18_waybel_0(X502,X501,X500)
| ~ m1_relset_1(X502,u1_struct_0(X501),u1_struct_0(X500)) )
& ( v19_waybel_0(k2_waybel34(X500,X501,X502),X500,X501)
| ~ v2_orders_2(X500)
| ~ v3_orders_2(X500)
| ~ v4_orders_2(X500)
| ~ v1_lattice3(X500)
| ~ v2_lattice3(X500)
| ~ v3_lattice3(X500)
| ~ l1_orders_2(X500)
| ~ v2_orders_2(X501)
| ~ v3_orders_2(X501)
| ~ v4_orders_2(X501)
| ~ v1_lattice3(X501)
| ~ v2_lattice3(X501)
| ~ v3_lattice3(X501)
| ~ l1_orders_2(X501)
| ~ v1_funct_1(X502)
| ~ v1_funct_2(X502,u1_struct_0(X501),u1_struct_0(X500))
| ~ v18_waybel_0(X502,X501,X500)
| ~ m1_relset_1(X502,u1_struct_0(X501),u1_struct_0(X500)) )
& ( v21_waybel_0(k2_waybel34(X500,X501,X502),X500,X501)
| ~ v2_orders_2(X500)
| ~ v3_orders_2(X500)
| ~ v4_orders_2(X500)
| ~ v1_lattice3(X500)
| ~ v2_lattice3(X500)
| ~ v3_lattice3(X500)
| ~ l1_orders_2(X500)
| ~ v2_orders_2(X501)
| ~ v3_orders_2(X501)
| ~ v4_orders_2(X501)
| ~ v1_lattice3(X501)
| ~ v2_lattice3(X501)
| ~ v3_lattice3(X501)
| ~ l1_orders_2(X501)
| ~ v1_funct_1(X502)
| ~ v1_funct_2(X502,u1_struct_0(X501),u1_struct_0(X500))
| ~ v18_waybel_0(X502,X501,X500)
| ~ m1_relset_1(X502,u1_struct_0(X501),u1_struct_0(X500)) )
& ( v4_waybel_1(k2_waybel34(X500,X501,X502),X500,X501)
| ~ v2_orders_2(X500)
| ~ v3_orders_2(X500)
| ~ v4_orders_2(X500)
| ~ v1_lattice3(X500)
| ~ v2_lattice3(X500)
| ~ v3_lattice3(X500)
| ~ l1_orders_2(X500)
| ~ v2_orders_2(X501)
| ~ v3_orders_2(X501)
| ~ v4_orders_2(X501)
| ~ v1_lattice3(X501)
| ~ v2_lattice3(X501)
| ~ v3_lattice3(X501)
| ~ l1_orders_2(X501)
| ~ v1_funct_1(X502)
| ~ v1_funct_2(X502,u1_struct_0(X501),u1_struct_0(X500))
| ~ v18_waybel_0(X502,X501,X500)
| ~ m1_relset_1(X502,u1_struct_0(X501),u1_struct_0(X500)) )
& ( v5_orders_3(k2_waybel34(X500,X501,X502),X500,X501)
| ~ v2_orders_2(X500)
| ~ v3_orders_2(X500)
| ~ v4_orders_2(X500)
| ~ v1_lattice3(X500)
| ~ v2_lattice3(X500)
| ~ v3_lattice3(X500)
| ~ l1_orders_2(X500)
| ~ v2_orders_2(X501)
| ~ v3_orders_2(X501)
| ~ v4_orders_2(X501)
| ~ v1_lattice3(X501)
| ~ v2_lattice3(X501)
| ~ v3_lattice3(X501)
| ~ l1_orders_2(X501)
| ~ v1_funct_1(X502)
| ~ v1_funct_2(X502,u1_struct_0(X501),u1_struct_0(X500))
| ~ v18_waybel_0(X502,X501,X500)
| ~ m1_relset_1(X502,u1_struct_0(X501),u1_struct_0(X500)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_101])])]) ).
fof(c_0_120,plain,
! [X605,X606,X607,X608,X609,X610] :
( ( ~ v3_waybel_1(k1_waybel_1(X605,X606,X607,X608),X605,X606)
| v3_waybel_1(k1_waybel_1(k7_lattice3(X606),k7_lattice3(X605),X610,X609),k7_lattice3(X606),k7_lattice3(X605))
| X607 != X609
| X608 != X610
| ~ v1_funct_1(X610)
| ~ v1_funct_2(X610,u1_struct_0(k7_lattice3(X606)),u1_struct_0(k7_lattice3(X605)))
| ~ m2_relset_1(X610,u1_struct_0(k7_lattice3(X606)),u1_struct_0(k7_lattice3(X605)))
| ~ v1_funct_1(X609)
| ~ v1_funct_2(X609,u1_struct_0(k7_lattice3(X605)),u1_struct_0(k7_lattice3(X606)))
| ~ m2_relset_1(X609,u1_struct_0(k7_lattice3(X605)),u1_struct_0(k7_lattice3(X606)))
| ~ v1_funct_1(X608)
| ~ v1_funct_2(X608,u1_struct_0(X606),u1_struct_0(X605))
| ~ m2_relset_1(X608,u1_struct_0(X606),u1_struct_0(X605))
| ~ v1_funct_1(X607)
| ~ v1_funct_2(X607,u1_struct_0(X605),u1_struct_0(X606))
| ~ m2_relset_1(X607,u1_struct_0(X605),u1_struct_0(X606))
| v3_struct_0(X606)
| ~ v2_orders_2(X606)
| ~ v3_orders_2(X606)
| ~ v4_orders_2(X606)
| ~ l1_orders_2(X606)
| v3_struct_0(X605)
| ~ v2_orders_2(X605)
| ~ v3_orders_2(X605)
| ~ v4_orders_2(X605)
| ~ l1_orders_2(X605) )
& ( ~ v3_waybel_1(k1_waybel_1(k7_lattice3(X606),k7_lattice3(X605),X610,X609),k7_lattice3(X606),k7_lattice3(X605))
| v3_waybel_1(k1_waybel_1(X605,X606,X607,X608),X605,X606)
| X607 != X609
| X608 != X610
| ~ v1_funct_1(X610)
| ~ v1_funct_2(X610,u1_struct_0(k7_lattice3(X606)),u1_struct_0(k7_lattice3(X605)))
| ~ m2_relset_1(X610,u1_struct_0(k7_lattice3(X606)),u1_struct_0(k7_lattice3(X605)))
| ~ v1_funct_1(X609)
| ~ v1_funct_2(X609,u1_struct_0(k7_lattice3(X605)),u1_struct_0(k7_lattice3(X606)))
| ~ m2_relset_1(X609,u1_struct_0(k7_lattice3(X605)),u1_struct_0(k7_lattice3(X606)))
| ~ v1_funct_1(X608)
| ~ v1_funct_2(X608,u1_struct_0(X606),u1_struct_0(X605))
| ~ m2_relset_1(X608,u1_struct_0(X606),u1_struct_0(X605))
| ~ v1_funct_1(X607)
| ~ v1_funct_2(X607,u1_struct_0(X605),u1_struct_0(X606))
| ~ m2_relset_1(X607,u1_struct_0(X605),u1_struct_0(X606))
| v3_struct_0(X606)
| ~ v2_orders_2(X606)
| ~ v3_orders_2(X606)
| ~ v4_orders_2(X606)
| ~ l1_orders_2(X606)
| v3_struct_0(X605)
| ~ v2_orders_2(X605)
| ~ v3_orders_2(X605)
| ~ v4_orders_2(X605)
| ~ l1_orders_2(X605) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_102])])])]) ).
cnf(c_0_121,plain,
( k1_waybel_1(X1,X2,X3,X4) = k2_tarski(k2_tarski(X3,X4),k1_tarski(X3))
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X4,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_relset_1(X4,u1_struct_0(X2),u1_struct_0(X1))
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(rw,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_122,plain,
k2_tarski(X1,X2) = k2_tarski(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_123,negated_conjecture,
m2_relset_1(k2_waybel34(esk2_0,esk1_0,esk3_0),u1_struct_0(k7_lattice3(esk2_0)),u1_struct_0(k7_lattice3(esk1_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_108]),c_0_93]),c_0_94]),c_0_37]),c_0_36])]) ).
cnf(c_0_124,plain,
( v1_funct_2(k3_waybel34(X1,X2,X3),u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X2)))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_125,plain,
( l1_orders_2(k7_lattice3(X1))
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_109]) ).
cnf(c_0_126,negated_conjecture,
k7_lattice3(g1_orders_2(u1_struct_0(esk2_0),u1_orders_2(esk2_0))) = k7_lattice3(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_110]),c_0_84]),c_0_111]),c_0_84]),c_0_84]),c_0_51]),c_0_57])]) ).
cnf(c_0_127,negated_conjecture,
k7_lattice3(g1_orders_2(u1_struct_0(esk1_0),u1_orders_2(esk1_0))) = k7_lattice3(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_112]),c_0_87]),c_0_113]),c_0_87]),c_0_87]),c_0_53]),c_0_59])]) ).
fof(c_0_128,plain,
! [X524] :
( ( ~ v3_struct_0(k7_lattice3(X524))
| v3_struct_0(X524)
| ~ v3_lattice3(X524)
| ~ l1_orders_2(X524) )
& ( v1_orders_2(k7_lattice3(X524))
| v3_struct_0(X524)
| ~ v3_lattice3(X524)
| ~ l1_orders_2(X524) )
& ( v1_lattice3(k7_lattice3(X524))
| v3_struct_0(X524)
| ~ v3_lattice3(X524)
| ~ l1_orders_2(X524) )
& ( v2_lattice3(k7_lattice3(X524))
| v3_struct_0(X524)
| ~ v3_lattice3(X524)
| ~ l1_orders_2(X524) )
& ( v3_lattice3(k7_lattice3(X524))
| v3_struct_0(X524)
| ~ v3_lattice3(X524)
| ~ l1_orders_2(X524) )
& ( v1_yellow_0(k7_lattice3(X524))
| v3_struct_0(X524)
| ~ v3_lattice3(X524)
| ~ l1_orders_2(X524) )
& ( v2_yellow_0(k7_lattice3(X524))
| v3_struct_0(X524)
| ~ v3_lattice3(X524)
| ~ l1_orders_2(X524) )
& ( v3_yellow_0(k7_lattice3(X524))
| v3_struct_0(X524)
| ~ v3_lattice3(X524)
| ~ l1_orders_2(X524) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_114])])]) ).
fof(c_0_129,plain,
! [X521] :
( ( ~ v3_struct_0(k7_lattice3(X521))
| ~ v1_lattice3(X521)
| ~ l1_orders_2(X521) )
& ( v1_orders_2(k7_lattice3(X521))
| ~ v1_lattice3(X521)
| ~ l1_orders_2(X521) )
& ( v2_lattice3(k7_lattice3(X521))
| ~ v1_lattice3(X521)
| ~ l1_orders_2(X521) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_115])])]) ).
fof(c_0_130,plain,
! [X518] :
( ( ~ v3_struct_0(k7_lattice3(X518))
| ~ v2_lattice3(X518)
| ~ l1_orders_2(X518) )
& ( v1_orders_2(k7_lattice3(X518))
| ~ v2_lattice3(X518)
| ~ l1_orders_2(X518) )
& ( v1_lattice3(k7_lattice3(X518))
| ~ v2_lattice3(X518)
| ~ l1_orders_2(X518) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_116])])]) ).
fof(c_0_131,plain,
! [X510] :
( ( v1_orders_2(k7_lattice3(X510))
| ~ v4_orders_2(X510)
| ~ l1_orders_2(X510) )
& ( v4_orders_2(k7_lattice3(X510))
| ~ v4_orders_2(X510)
| ~ l1_orders_2(X510) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc3_yellow_7])])]) ).
fof(c_0_132,plain,
! [X503] :
( ( v1_orders_2(k7_lattice3(X503))
| ~ v3_orders_2(X503)
| ~ l1_orders_2(X503) )
& ( v3_orders_2(k7_lattice3(X503))
| ~ v3_orders_2(X503)
| ~ l1_orders_2(X503) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc2_yellow_7])])]) ).
fof(c_0_133,plain,
! [X495] :
( ( v1_orders_2(k7_lattice3(X495))
| ~ v2_orders_2(X495)
| ~ l1_orders_2(X495) )
& ( v2_orders_2(k7_lattice3(X495))
| ~ v2_orders_2(X495)
| ~ l1_orders_2(X495) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc1_yellow_7])])]) ).
cnf(c_0_134,plain,
( X4 = k1_waybel34(X1,X2,X3)
| ~ v3_waybel_1(k1_waybel_1(X1,X2,X3,X4),X1,X2)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X2),u1_struct_0(X1))
| ~ m2_relset_1(X4,u1_struct_0(X2),u1_struct_0(X1))
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X2)
| ~ v17_waybel_0(X3,X1,X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_135,plain,
( v3_waybel_1(k1_waybel_1(X1,X2,k2_waybel34(X1,X2,X3),X3),X1,X2)
| ~ m2_relset_1(k2_waybel34(X1,X2,X3),u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ v18_waybel_0(X3,X2,X1)
| ~ v1_funct_2(k2_waybel34(X1,X2,X3),u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_1(k2_waybel34(X1,X2,X3))
| ~ v1_funct_1(X3)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X2)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(X2)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X2)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X2)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v2_orders_2(X1) ),
inference(er,[status(thm)],[c_0_118]) ).
cnf(c_0_136,plain,
( v17_waybel_0(k2_waybel34(X1,X2,X3),X1,X2)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X2)
| ~ v3_lattice3(X2)
| ~ l1_orders_2(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ v18_waybel_0(X3,X2,X1)
| ~ m1_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_137,negated_conjecture,
v18_waybel_0(esk3_0,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_138,negated_conjecture,
v3_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_139,negated_conjecture,
v3_lattice3(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_140,plain,
! [X1,X2,X3] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& l1_orders_2(X1)
& v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v1_lattice3(X2)
& v2_lattice3(X2)
& v3_lattice3(X2)
& l1_orders_2(X2)
& v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v18_waybel_0(X3,X1,X2)
& m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( v1_relat_1(k3_waybel34(X1,X2,X3))
& v1_funct_1(k3_waybel34(X1,X2,X3))
& ~ v1_xboole_0(k3_waybel34(X1,X2,X3))
& v1_funct_2(k3_waybel34(X1,X2,X3),u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X2)))
& v1_partfun1(k3_waybel34(X1,X2,X3),u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X2)))
& v17_waybel_0(k3_waybel34(X1,X2,X3),k7_lattice3(X1),k7_lattice3(X2))
& v19_waybel_0(k3_waybel34(X1,X2,X3),k7_lattice3(X1),k7_lattice3(X2))
& v21_waybel_0(k3_waybel34(X1,X2,X3),k7_lattice3(X1),k7_lattice3(X2))
& v4_waybel_1(k3_waybel34(X1,X2,X3),k7_lattice3(X1),k7_lattice3(X2))
& v5_orders_3(k3_waybel34(X1,X2,X3),k7_lattice3(X1),k7_lattice3(X2)) ) ),
inference(fof_simplification,[status(thm)],[fc4_waybel34]) ).
cnf(c_0_141,plain,
( v3_waybel_1(k1_waybel_1(k7_lattice3(X2),k7_lattice3(X1),X5,X6),k7_lattice3(X2),k7_lattice3(X1))
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ v3_waybel_1(k1_waybel_1(X1,X2,X3,X4),X1,X2)
| X3 != X6
| X4 != X5
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,u1_struct_0(k7_lattice3(X2)),u1_struct_0(k7_lattice3(X1)))
| ~ m2_relset_1(X5,u1_struct_0(k7_lattice3(X2)),u1_struct_0(k7_lattice3(X1)))
| ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X2)))
| ~ m2_relset_1(X6,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X2)))
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X2),u1_struct_0(X1))
| ~ m2_relset_1(X4,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ l1_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_120]) ).
cnf(c_0_142,plain,
( k1_waybel_1(X1,X2,X3,X4) = k2_tarski(k1_tarski(X3),k2_tarski(X3,X4))
| ~ m1_relset_1(X4,u1_struct_0(X2),u1_struct_0(X1))
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X4,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X3)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1) ),
inference(rw,[status(thm)],[c_0_121,c_0_122]) ).
cnf(c_0_143,negated_conjecture,
m1_relset_1(k2_waybel34(esk2_0,esk1_0,esk3_0),u1_struct_0(k7_lattice3(esk2_0)),u1_struct_0(k7_lattice3(esk1_0))),
inference(spm,[status(thm)],[c_0_42,c_0_123]) ).
cnf(c_0_144,negated_conjecture,
v1_funct_2(k2_waybel34(esk2_0,esk1_0,esk3_0),u1_struct_0(k7_lattice3(esk2_0)),u1_struct_0(k7_lattice3(esk1_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_107]),c_0_108]),c_0_93]),c_0_94]),c_0_37]),c_0_36])]) ).
cnf(c_0_145,negated_conjecture,
l1_orders_2(k7_lattice3(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_57])]) ).
cnf(c_0_146,negated_conjecture,
l1_orders_2(k7_lattice3(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_127]),c_0_59])]) ).
cnf(c_0_147,plain,
( v3_lattice3(k7_lattice3(X1))
| v3_struct_0(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_128]) ).
cnf(c_0_148,plain,
( v2_lattice3(k7_lattice3(X1))
| ~ v1_lattice3(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_129]) ).
cnf(c_0_149,plain,
( v1_lattice3(k7_lattice3(X1))
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_130]) ).
cnf(c_0_150,plain,
( v4_orders_2(k7_lattice3(X1))
| ~ v4_orders_2(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_131]) ).
cnf(c_0_151,plain,
( v3_orders_2(k7_lattice3(X1))
| ~ v3_orders_2(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_132]) ).
cnf(c_0_152,plain,
( v2_orders_2(k7_lattice3(X1))
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_133]) ).
cnf(c_0_153,plain,
( v3_waybel_1(k1_waybel_1(X2,X3,X4,X1),X2,X3)
| X1 != k1_waybel34(X2,X3,X4)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X3),u1_struct_0(X2))
| ~ m2_relset_1(X1,u1_struct_0(X3),u1_struct_0(X2))
| ~ v3_lattice3(X2)
| ~ v3_lattice3(X3)
| ~ v17_waybel_0(X4,X2,X3)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X2),u1_struct_0(X3))
| ~ m2_relset_1(X4,u1_struct_0(X2),u1_struct_0(X3))
| ~ v2_orders_2(X3)
| ~ v3_orders_2(X3)
| ~ v4_orders_2(X3)
| ~ v1_lattice3(X3)
| ~ v2_lattice3(X3)
| ~ l1_orders_2(X3)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_154,plain,
( k1_waybel34(X1,X2,k2_waybel34(X1,X2,X3)) = X3
| ~ v17_waybel_0(k2_waybel34(X1,X2,X3),X1,X2)
| ~ m2_relset_1(k2_waybel34(X1,X2,X3),u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ v18_waybel_0(X3,X2,X1)
| ~ v1_funct_2(k2_waybel34(X1,X2,X3),u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_1(k2_waybel34(X1,X2,X3))
| ~ v1_funct_1(X3)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X2)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(X2)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X2)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X2)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v2_orders_2(X1) ),
inference(spm,[status(thm)],[c_0_134,c_0_135]) ).
cnf(c_0_155,negated_conjecture,
v17_waybel_0(k2_waybel34(esk2_0,esk1_0,esk3_0),esk2_0,esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_69]),c_0_137]),c_0_70]),c_0_71]),c_0_37]),c_0_36]),c_0_138]),c_0_139]),c_0_72]),c_0_73]),c_0_44]),c_0_40]),c_0_74]),c_0_75]),c_0_76]),c_0_77]),c_0_78]),c_0_79])]) ).
fof(c_0_156,plain,
! [X511,X512,X513] :
( ( v1_relat_1(k3_waybel34(X511,X512,X513))
| ~ v2_orders_2(X511)
| ~ v3_orders_2(X511)
| ~ v4_orders_2(X511)
| ~ v1_lattice3(X511)
| ~ v2_lattice3(X511)
| ~ v3_lattice3(X511)
| ~ l1_orders_2(X511)
| ~ v2_orders_2(X512)
| ~ v3_orders_2(X512)
| ~ v4_orders_2(X512)
| ~ v1_lattice3(X512)
| ~ v2_lattice3(X512)
| ~ v3_lattice3(X512)
| ~ l1_orders_2(X512)
| ~ v1_funct_1(X513)
| ~ v1_funct_2(X513,u1_struct_0(X511),u1_struct_0(X512))
| ~ v18_waybel_0(X513,X511,X512)
| ~ m1_relset_1(X513,u1_struct_0(X511),u1_struct_0(X512)) )
& ( v1_funct_1(k3_waybel34(X511,X512,X513))
| ~ v2_orders_2(X511)
| ~ v3_orders_2(X511)
| ~ v4_orders_2(X511)
| ~ v1_lattice3(X511)
| ~ v2_lattice3(X511)
| ~ v3_lattice3(X511)
| ~ l1_orders_2(X511)
| ~ v2_orders_2(X512)
| ~ v3_orders_2(X512)
| ~ v4_orders_2(X512)
| ~ v1_lattice3(X512)
| ~ v2_lattice3(X512)
| ~ v3_lattice3(X512)
| ~ l1_orders_2(X512)
| ~ v1_funct_1(X513)
| ~ v1_funct_2(X513,u1_struct_0(X511),u1_struct_0(X512))
| ~ v18_waybel_0(X513,X511,X512)
| ~ m1_relset_1(X513,u1_struct_0(X511),u1_struct_0(X512)) )
& ( ~ v1_xboole_0(k3_waybel34(X511,X512,X513))
| ~ v2_orders_2(X511)
| ~ v3_orders_2(X511)
| ~ v4_orders_2(X511)
| ~ v1_lattice3(X511)
| ~ v2_lattice3(X511)
| ~ v3_lattice3(X511)
| ~ l1_orders_2(X511)
| ~ v2_orders_2(X512)
| ~ v3_orders_2(X512)
| ~ v4_orders_2(X512)
| ~ v1_lattice3(X512)
| ~ v2_lattice3(X512)
| ~ v3_lattice3(X512)
| ~ l1_orders_2(X512)
| ~ v1_funct_1(X513)
| ~ v1_funct_2(X513,u1_struct_0(X511),u1_struct_0(X512))
| ~ v18_waybel_0(X513,X511,X512)
| ~ m1_relset_1(X513,u1_struct_0(X511),u1_struct_0(X512)) )
& ( v1_funct_2(k3_waybel34(X511,X512,X513),u1_struct_0(k7_lattice3(X511)),u1_struct_0(k7_lattice3(X512)))
| ~ v2_orders_2(X511)
| ~ v3_orders_2(X511)
| ~ v4_orders_2(X511)
| ~ v1_lattice3(X511)
| ~ v2_lattice3(X511)
| ~ v3_lattice3(X511)
| ~ l1_orders_2(X511)
| ~ v2_orders_2(X512)
| ~ v3_orders_2(X512)
| ~ v4_orders_2(X512)
| ~ v1_lattice3(X512)
| ~ v2_lattice3(X512)
| ~ v3_lattice3(X512)
| ~ l1_orders_2(X512)
| ~ v1_funct_1(X513)
| ~ v1_funct_2(X513,u1_struct_0(X511),u1_struct_0(X512))
| ~ v18_waybel_0(X513,X511,X512)
| ~ m1_relset_1(X513,u1_struct_0(X511),u1_struct_0(X512)) )
& ( v1_partfun1(k3_waybel34(X511,X512,X513),u1_struct_0(k7_lattice3(X511)),u1_struct_0(k7_lattice3(X512)))
| ~ v2_orders_2(X511)
| ~ v3_orders_2(X511)
| ~ v4_orders_2(X511)
| ~ v1_lattice3(X511)
| ~ v2_lattice3(X511)
| ~ v3_lattice3(X511)
| ~ l1_orders_2(X511)
| ~ v2_orders_2(X512)
| ~ v3_orders_2(X512)
| ~ v4_orders_2(X512)
| ~ v1_lattice3(X512)
| ~ v2_lattice3(X512)
| ~ v3_lattice3(X512)
| ~ l1_orders_2(X512)
| ~ v1_funct_1(X513)
| ~ v1_funct_2(X513,u1_struct_0(X511),u1_struct_0(X512))
| ~ v18_waybel_0(X513,X511,X512)
| ~ m1_relset_1(X513,u1_struct_0(X511),u1_struct_0(X512)) )
& ( v17_waybel_0(k3_waybel34(X511,X512,X513),k7_lattice3(X511),k7_lattice3(X512))
| ~ v2_orders_2(X511)
| ~ v3_orders_2(X511)
| ~ v4_orders_2(X511)
| ~ v1_lattice3(X511)
| ~ v2_lattice3(X511)
| ~ v3_lattice3(X511)
| ~ l1_orders_2(X511)
| ~ v2_orders_2(X512)
| ~ v3_orders_2(X512)
| ~ v4_orders_2(X512)
| ~ v1_lattice3(X512)
| ~ v2_lattice3(X512)
| ~ v3_lattice3(X512)
| ~ l1_orders_2(X512)
| ~ v1_funct_1(X513)
| ~ v1_funct_2(X513,u1_struct_0(X511),u1_struct_0(X512))
| ~ v18_waybel_0(X513,X511,X512)
| ~ m1_relset_1(X513,u1_struct_0(X511),u1_struct_0(X512)) )
& ( v19_waybel_0(k3_waybel34(X511,X512,X513),k7_lattice3(X511),k7_lattice3(X512))
| ~ v2_orders_2(X511)
| ~ v3_orders_2(X511)
| ~ v4_orders_2(X511)
| ~ v1_lattice3(X511)
| ~ v2_lattice3(X511)
| ~ v3_lattice3(X511)
| ~ l1_orders_2(X511)
| ~ v2_orders_2(X512)
| ~ v3_orders_2(X512)
| ~ v4_orders_2(X512)
| ~ v1_lattice3(X512)
| ~ v2_lattice3(X512)
| ~ v3_lattice3(X512)
| ~ l1_orders_2(X512)
| ~ v1_funct_1(X513)
| ~ v1_funct_2(X513,u1_struct_0(X511),u1_struct_0(X512))
| ~ v18_waybel_0(X513,X511,X512)
| ~ m1_relset_1(X513,u1_struct_0(X511),u1_struct_0(X512)) )
& ( v21_waybel_0(k3_waybel34(X511,X512,X513),k7_lattice3(X511),k7_lattice3(X512))
| ~ v2_orders_2(X511)
| ~ v3_orders_2(X511)
| ~ v4_orders_2(X511)
| ~ v1_lattice3(X511)
| ~ v2_lattice3(X511)
| ~ v3_lattice3(X511)
| ~ l1_orders_2(X511)
| ~ v2_orders_2(X512)
| ~ v3_orders_2(X512)
| ~ v4_orders_2(X512)
| ~ v1_lattice3(X512)
| ~ v2_lattice3(X512)
| ~ v3_lattice3(X512)
| ~ l1_orders_2(X512)
| ~ v1_funct_1(X513)
| ~ v1_funct_2(X513,u1_struct_0(X511),u1_struct_0(X512))
| ~ v18_waybel_0(X513,X511,X512)
| ~ m1_relset_1(X513,u1_struct_0(X511),u1_struct_0(X512)) )
& ( v4_waybel_1(k3_waybel34(X511,X512,X513),k7_lattice3(X511),k7_lattice3(X512))
| ~ v2_orders_2(X511)
| ~ v3_orders_2(X511)
| ~ v4_orders_2(X511)
| ~ v1_lattice3(X511)
| ~ v2_lattice3(X511)
| ~ v3_lattice3(X511)
| ~ l1_orders_2(X511)
| ~ v2_orders_2(X512)
| ~ v3_orders_2(X512)
| ~ v4_orders_2(X512)
| ~ v1_lattice3(X512)
| ~ v2_lattice3(X512)
| ~ v3_lattice3(X512)
| ~ l1_orders_2(X512)
| ~ v1_funct_1(X513)
| ~ v1_funct_2(X513,u1_struct_0(X511),u1_struct_0(X512))
| ~ v18_waybel_0(X513,X511,X512)
| ~ m1_relset_1(X513,u1_struct_0(X511),u1_struct_0(X512)) )
& ( v5_orders_3(k3_waybel34(X511,X512,X513),k7_lattice3(X511),k7_lattice3(X512))
| ~ v2_orders_2(X511)
| ~ v3_orders_2(X511)
| ~ v4_orders_2(X511)
| ~ v1_lattice3(X511)
| ~ v2_lattice3(X511)
| ~ v3_lattice3(X511)
| ~ l1_orders_2(X511)
| ~ v2_orders_2(X512)
| ~ v3_orders_2(X512)
| ~ v4_orders_2(X512)
| ~ v1_lattice3(X512)
| ~ v2_lattice3(X512)
| ~ v3_lattice3(X512)
| ~ l1_orders_2(X512)
| ~ v1_funct_1(X513)
| ~ v1_funct_2(X513,u1_struct_0(X511),u1_struct_0(X512))
| ~ v18_waybel_0(X513,X511,X512)
| ~ m1_relset_1(X513,u1_struct_0(X511),u1_struct_0(X512)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_140])])]) ).
cnf(c_0_157,negated_conjecture,
k3_waybel34(esk1_0,esk2_0,esk3_0) = esk3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_61]),c_0_70]),c_0_71]),c_0_36]),c_0_37])]) ).
cnf(c_0_158,plain,
( v3_waybel_1(k1_waybel_1(k7_lattice3(X1),k7_lattice3(X2),X3,X4),k7_lattice3(X1),k7_lattice3(X2))
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ v3_waybel_1(k1_waybel_1(X2,X1,X4,X3),X2,X1)
| ~ m2_relset_1(X4,u1_struct_0(k7_lattice3(X2)),u1_struct_0(k7_lattice3(X1)))
| ~ m2_relset_1(X3,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X2)))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(X4,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_2(X4,u1_struct_0(k7_lattice3(X2)),u1_struct_0(k7_lattice3(X1)))
| ~ v1_funct_2(X3,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X2)))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X4,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X3)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v4_orders_2(X1)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v2_orders_2(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_141])]) ).
cnf(c_0_159,negated_conjecture,
( k1_waybel_1(k7_lattice3(esk1_0),k7_lattice3(esk2_0),X1,k2_waybel34(esk2_0,esk1_0,esk3_0)) = k2_tarski(k1_tarski(X1),k2_tarski(X1,k2_waybel34(esk2_0,esk1_0,esk3_0)))
| ~ m1_relset_1(X1,u1_struct_0(k7_lattice3(esk1_0)),u1_struct_0(k7_lattice3(esk2_0)))
| ~ v1_funct_2(X1,u1_struct_0(k7_lattice3(esk1_0)),u1_struct_0(k7_lattice3(esk2_0)))
| ~ v1_funct_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_144]),c_0_94])]),c_0_145]),c_0_146])]) ).
cnf(c_0_160,negated_conjecture,
v3_lattice3(k7_lattice3(esk2_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_36]),c_0_139])]),c_0_49]) ).
cnf(c_0_161,negated_conjecture,
v3_lattice3(k7_lattice3(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_37]),c_0_138])]),c_0_52]) ).
cnf(c_0_162,negated_conjecture,
v2_lattice3(k7_lattice3(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_36]),c_0_40])]) ).
cnf(c_0_163,negated_conjecture,
v2_lattice3(k7_lattice3(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_37]),c_0_44])]) ).
cnf(c_0_164,negated_conjecture,
v1_lattice3(k7_lattice3(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_36]),c_0_73])]) ).
cnf(c_0_165,negated_conjecture,
v1_lattice3(k7_lattice3(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_37]),c_0_72])]) ).
cnf(c_0_166,negated_conjecture,
v4_orders_2(k7_lattice3(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_36]),c_0_75])]) ).
cnf(c_0_167,negated_conjecture,
v4_orders_2(k7_lattice3(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_37]),c_0_74])]) ).
cnf(c_0_168,negated_conjecture,
v3_orders_2(k7_lattice3(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_36]),c_0_77])]) ).
cnf(c_0_169,negated_conjecture,
v3_orders_2(k7_lattice3(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_37]),c_0_76])]) ).
cnf(c_0_170,negated_conjecture,
v2_orders_2(k7_lattice3(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_36]),c_0_79])]) ).
cnf(c_0_171,negated_conjecture,
v2_orders_2(k7_lattice3(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_37]),c_0_78])]) ).
cnf(c_0_172,negated_conjecture,
k1_waybel34(k7_lattice3(esk1_0),k7_lattice3(esk2_0),k3_waybel34(esk1_0,esk2_0,esk3_0)) != k2_waybel34(esk2_0,esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_173,plain,
( v3_waybel_1(k1_waybel_1(X1,X2,X3,k1_waybel34(X1,X2,X3)),X1,X2)
| ~ v17_waybel_0(X3,X1,X2)
| ~ m2_relset_1(k1_waybel34(X1,X2,X3),u1_struct_0(X2),u1_struct_0(X1))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(k1_waybel34(X1,X2,X3),u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(k1_waybel34(X1,X2,X3))
| ~ v1_funct_1(X3)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X2)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(X2)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X2)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X2)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v2_orders_2(X1) ),
inference(er,[status(thm)],[c_0_153]) ).
cnf(c_0_174,negated_conjecture,
k1_waybel34(esk2_0,esk1_0,k2_waybel34(esk2_0,esk1_0,esk3_0)) = esk3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_91]),c_0_155]),c_0_61]),c_0_137]),c_0_93]),c_0_70]),c_0_94]),c_0_71]),c_0_37]),c_0_36]),c_0_138]),c_0_139]),c_0_72]),c_0_73]),c_0_44]),c_0_40]),c_0_74]),c_0_75]),c_0_76]),c_0_77]),c_0_78]),c_0_79])]) ).
cnf(c_0_175,plain,
( v17_waybel_0(k3_waybel34(X1,X2,X3),k7_lattice3(X1),k7_lattice3(X2))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X2)
| ~ v3_lattice3(X2)
| ~ l1_orders_2(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v18_waybel_0(X3,X1,X2)
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_156]) ).
cnf(c_0_176,negated_conjecture,
m2_relset_1(esk3_0,u1_struct_0(k7_lattice3(esk1_0)),u1_struct_0(k7_lattice3(esk2_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_69]),c_0_157]),c_0_70]),c_0_71]),c_0_36]),c_0_37])]) ).
cnf(c_0_177,negated_conjecture,
( v3_waybel_1(k2_tarski(k1_tarski(X1),k2_tarski(X1,k2_waybel34(esk2_0,esk1_0,esk3_0))),k7_lattice3(esk1_0),k7_lattice3(esk2_0))
| ~ v3_waybel_1(k1_waybel_1(esk2_0,esk1_0,k2_waybel34(esk2_0,esk1_0,esk3_0),X1),esk2_0,esk1_0)
| ~ m2_relset_1(X1,u1_struct_0(k7_lattice3(esk1_0)),u1_struct_0(k7_lattice3(esk2_0)))
| ~ m2_relset_1(X1,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
| ~ v1_funct_2(X1,u1_struct_0(k7_lattice3(esk1_0)),u1_struct_0(k7_lattice3(esk2_0)))
| ~ v1_funct_2(X1,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X1,u1_struct_0(k7_lattice3(esk1_0)),u1_struct_0(k7_lattice3(esk2_0))) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_159]),c_0_123]),c_0_91]),c_0_144]),c_0_93]),c_0_94]),c_0_37]),c_0_36]),c_0_74]),c_0_75]),c_0_76]),c_0_77]),c_0_78]),c_0_79])]),c_0_49]),c_0_52]) ).
cnf(c_0_178,negated_conjecture,
( k2_waybel34(esk2_0,esk1_0,esk3_0) = k1_waybel34(k7_lattice3(esk1_0),k7_lattice3(esk2_0),X1)
| ~ v3_waybel_1(k2_tarski(k1_tarski(X1),k2_tarski(X1,k2_waybel34(esk2_0,esk1_0,esk3_0))),k7_lattice3(esk1_0),k7_lattice3(esk2_0))
| ~ v17_waybel_0(X1,k7_lattice3(esk1_0),k7_lattice3(esk2_0))
| ~ m2_relset_1(X1,u1_struct_0(k7_lattice3(esk1_0)),u1_struct_0(k7_lattice3(esk2_0)))
| ~ v1_funct_2(X1,u1_struct_0(k7_lattice3(esk1_0)),u1_struct_0(k7_lattice3(esk2_0)))
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X1,u1_struct_0(k7_lattice3(esk1_0)),u1_struct_0(k7_lattice3(esk2_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_159]),c_0_123]),c_0_144]),c_0_94]),c_0_145]),c_0_146]),c_0_160]),c_0_161]),c_0_162]),c_0_163]),c_0_164]),c_0_165]),c_0_166]),c_0_167]),c_0_168]),c_0_169]),c_0_170]),c_0_171])]) ).
cnf(c_0_179,negated_conjecture,
k1_waybel34(k7_lattice3(esk1_0),k7_lattice3(esk2_0),esk3_0) != k2_waybel34(esk2_0,esk1_0,esk3_0),
inference(rw,[status(thm)],[c_0_172,c_0_157]) ).
cnf(c_0_180,negated_conjecture,
v3_waybel_1(k1_waybel_1(esk2_0,esk1_0,k2_waybel34(esk2_0,esk1_0,esk3_0),esk3_0),esk2_0,esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_174]),c_0_155]),c_0_61]),c_0_91]),c_0_70]),c_0_93]),c_0_71]),c_0_94]),c_0_37]),c_0_36]),c_0_138]),c_0_139]),c_0_72]),c_0_73]),c_0_44]),c_0_40]),c_0_74]),c_0_75]),c_0_76]),c_0_77]),c_0_78]),c_0_79])]) ).
cnf(c_0_181,negated_conjecture,
v17_waybel_0(esk3_0,k7_lattice3(esk1_0),k7_lattice3(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_69]),c_0_157]),c_0_137]),c_0_70]),c_0_71]),c_0_36]),c_0_37]),c_0_139]),c_0_138]),c_0_73]),c_0_72]),c_0_40]),c_0_44]),c_0_75]),c_0_74]),c_0_77]),c_0_76]),c_0_79]),c_0_78])]) ).
cnf(c_0_182,negated_conjecture,
m1_relset_1(esk3_0,u1_struct_0(k7_lattice3(esk1_0)),u1_struct_0(k7_lattice3(esk2_0))),
inference(spm,[status(thm)],[c_0_42,c_0_176]) ).
cnf(c_0_183,negated_conjecture,
v1_funct_2(esk3_0,u1_struct_0(k7_lattice3(esk1_0)),u1_struct_0(k7_lattice3(esk2_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_69]),c_0_157]),c_0_70]),c_0_71]),c_0_36]),c_0_37])]) ).
cnf(c_0_184,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_177,c_0_178,c_0_179,c_0_180,c_0_181,c_0_182,c_0_176,c_0_183,c_0_61,c_0_70,c_0_71]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LAT355+1 : TPTP v9.2.1. Released v3.4.0.
% 0.00/0.11 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.32 % Computer : n002.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Mon May 4 21:34:16 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.33 % start to proof: theBenchmark
% 42.09/27.76 % Version : CSE_E---1.7
% 42.09/27.76 % Problem : theBenchmark.p
% 42.09/27.76 % SZS status Theorem for theBenchmark.p
% 42.09/27.76 % SZS output start CNFRefutation
% See solution above
% 42.19/27.84 % Total time : 23.473s
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