TSTP Solution File: LAT355+4 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : LAT355+4 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n026.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 : 600s
% DateTime : Sun Jul 17 04:47:44 EDT 2022
% Result : Theorem 4.97s 269.14s
% Output : CNFRefutation 4.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 18
% Syntax : Number of formulae : 109 ( 49 unt; 0 def)
% Number of atoms : 986 ( 36 equ)
% Maximal formula atoms : 190 ( 9 avg)
% Number of connectives : 1514 ( 637 ~; 637 |; 196 &)
% ( 5 <=>; 39 =>; 0 <=; 0 <~>)
% Maximal formula depth : 34 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 28 ( 26 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-4 aty)
% Number of variables : 141 ( 3 sgn 87 !; 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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t5_waybel34) ).
fof(redefinition_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
<=> m1_relset_1(X3,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+16.ax',redefinition_m2_relset_1) ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k2_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/sandbox2/benchmark/Axioms/SET007/SET007+485.ax',redefinition_k1_waybel_1) ).
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/sandbox2/benchmark/Axioms/SET007/SET007+495.ax',t44_yellow_7) ).
fof(t12_yellow_6,axiom,
! [X1] :
( l1_orders_2(X1)
=> u1_struct_0(X1) = u1_struct_0(k7_lattice3(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+493.ax',t12_yellow_6) ).
fof(cc1_lattice3,axiom,
! [X1] :
( l1_orders_2(X1)
=> ( v1_lattice3(X1)
=> ~ v3_struct_0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+335.ax',cc1_lattice3) ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d2_waybel34) ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d3_waybel34) ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fc4_waybel34) ).
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/sandbox2/benchmark/Axioms/SET007/SET007+495.ax',fc7_yellow_7) ).
fof(t10_lattice3,axiom,
! [X1] :
( l1_orders_2(X1)
=> ( v1_lattice3(X1)
<=> v2_lattice3(k7_lattice3(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+335.ax',t10_lattice3) ).
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/sandbox2/benchmark/Axioms/SET007/SET007+495.ax',fc5_yellow_7) ).
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/sandbox2/benchmark/Axioms/SET007/SET007+495.ax',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/sandbox2/benchmark/Axioms/SET007/SET007+495.ax',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/sandbox2/benchmark/Axioms/SET007/SET007+495.ax',fc1_yellow_7) ).
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/sandbox2/benchmark/Axioms/SET007/SET007+335.ax',dt_k7_lattice3) ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d1_waybel34) ).
fof(c_0_18,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_19,plain,
! [X4,X5,X6,X4,X5,X6] :
( ( ~ m2_relset_1(X6,X4,X5)
| m1_relset_1(X6,X4,X5) )
& ( ~ m1_relset_1(X6,X4,X5)
| m2_relset_1(X6,X4,X5) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])])])]) ).
fof(c_0_20,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(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])])]) ).
fof(c_0_21,plain,
! [X4,X5,X6] :
( ( v1_funct_1(k2_waybel34(X4,X5,X6))
| ~ v2_orders_2(X4)
| ~ v3_orders_2(X4)
| ~ v4_orders_2(X4)
| ~ v1_lattice3(X4)
| ~ v2_lattice3(X4)
| ~ l1_orders_2(X4)
| ~ v2_orders_2(X5)
| ~ v3_orders_2(X5)
| ~ v4_orders_2(X5)
| ~ v1_lattice3(X5)
| ~ v2_lattice3(X5)
| ~ l1_orders_2(X5)
| ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,u1_struct_0(X5),u1_struct_0(X4))
| ~ m1_relset_1(X6,u1_struct_0(X5),u1_struct_0(X4)) )
& ( v1_funct_2(k2_waybel34(X4,X5,X6),u1_struct_0(X4),u1_struct_0(X5))
| ~ v2_orders_2(X4)
| ~ v3_orders_2(X4)
| ~ v4_orders_2(X4)
| ~ v1_lattice3(X4)
| ~ v2_lattice3(X4)
| ~ l1_orders_2(X4)
| ~ v2_orders_2(X5)
| ~ v3_orders_2(X5)
| ~ v4_orders_2(X5)
| ~ v1_lattice3(X5)
| ~ v2_lattice3(X5)
| ~ l1_orders_2(X5)
| ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,u1_struct_0(X5),u1_struct_0(X4))
| ~ m1_relset_1(X6,u1_struct_0(X5),u1_struct_0(X4)) )
& ( m2_relset_1(k2_waybel34(X4,X5,X6),u1_struct_0(X4),u1_struct_0(X5))
| ~ v2_orders_2(X4)
| ~ v3_orders_2(X4)
| ~ v4_orders_2(X4)
| ~ v1_lattice3(X4)
| ~ v2_lattice3(X4)
| ~ l1_orders_2(X4)
| ~ v2_orders_2(X5)
| ~ v3_orders_2(X5)
| ~ v4_orders_2(X5)
| ~ v1_lattice3(X5)
| ~ v2_lattice3(X5)
| ~ l1_orders_2(X5)
| ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,u1_struct_0(X5),u1_struct_0(X4))
| ~ m1_relset_1(X6,u1_struct_0(X5),u1_struct_0(X4)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k2_waybel34])])]) ).
cnf(c_0_22,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_23,negated_conjecture,
m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_24,plain,
! [X5,X6,X7,X8] :
( ~ l1_orders_2(X5)
| ~ l1_orders_2(X6)
| ~ v1_funct_1(X7)
| ~ v1_funct_2(X7,u1_struct_0(X5),u1_struct_0(X6))
| ~ m1_relset_1(X7,u1_struct_0(X5),u1_struct_0(X6))
| ~ v1_funct_1(X8)
| ~ v1_funct_2(X8,u1_struct_0(X6),u1_struct_0(X5))
| ~ m1_relset_1(X8,u1_struct_0(X6),u1_struct_0(X5))
| k1_waybel_1(X5,X6,X7,X8) = k4_tarski(X7,X8) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k1_waybel_1])]) ).
cnf(c_0_25,plain,
( m2_relset_1(k2_waybel34(X3,X2,X1),u1_struct_0(X3),u1_struct_0(X2))
| ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_funct_1(X1)
| ~ l1_orders_2(X2)
| ~ v2_lattice3(X2)
| ~ v1_lattice3(X2)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X2)
| ~ l1_orders_2(X3)
| ~ v2_lattice3(X3)
| ~ v1_lattice3(X3)
| ~ v4_orders_2(X3)
| ~ v3_orders_2(X3)
| ~ v2_orders_2(X3) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_26,negated_conjecture,
v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_27,negated_conjecture,
v2_lattice3(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_28,negated_conjecture,
v2_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_29,negated_conjecture,
v1_lattice3(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_30,negated_conjecture,
v1_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_31,negated_conjecture,
v4_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_32,negated_conjecture,
v4_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_33,negated_conjecture,
v3_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_34,negated_conjecture,
v3_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_35,negated_conjecture,
v2_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_36,negated_conjecture,
v2_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_37,negated_conjecture,
l1_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_38,negated_conjecture,
l1_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_39,negated_conjecture,
v1_funct_1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_40,negated_conjecture,
m1_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(pm,[status(thm)],[c_0_22,c_0_23]) ).
fof(c_0_41,plain,
! [X7,X8,X9,X10,X11,X12] :
( ( ~ v3_waybel_1(k1_waybel_1(X7,X8,X9,X10),X7,X8)
| v3_waybel_1(k1_waybel_1(k7_lattice3(X8),k7_lattice3(X7),X12,X11),k7_lattice3(X8),k7_lattice3(X7))
| X9 != X11
| X10 != X12
| ~ v1_funct_1(X12)
| ~ v1_funct_2(X12,u1_struct_0(k7_lattice3(X8)),u1_struct_0(k7_lattice3(X7)))
| ~ m2_relset_1(X12,u1_struct_0(k7_lattice3(X8)),u1_struct_0(k7_lattice3(X7)))
| ~ v1_funct_1(X11)
| ~ v1_funct_2(X11,u1_struct_0(k7_lattice3(X7)),u1_struct_0(k7_lattice3(X8)))
| ~ m2_relset_1(X11,u1_struct_0(k7_lattice3(X7)),u1_struct_0(k7_lattice3(X8)))
| ~ v1_funct_1(X10)
| ~ v1_funct_2(X10,u1_struct_0(X8),u1_struct_0(X7))
| ~ m2_relset_1(X10,u1_struct_0(X8),u1_struct_0(X7))
| ~ v1_funct_1(X9)
| ~ v1_funct_2(X9,u1_struct_0(X7),u1_struct_0(X8))
| ~ m2_relset_1(X9,u1_struct_0(X7),u1_struct_0(X8))
| v3_struct_0(X8)
| ~ v2_orders_2(X8)
| ~ v3_orders_2(X8)
| ~ v4_orders_2(X8)
| ~ l1_orders_2(X8)
| v3_struct_0(X7)
| ~ v2_orders_2(X7)
| ~ v3_orders_2(X7)
| ~ v4_orders_2(X7)
| ~ l1_orders_2(X7) )
& ( ~ v3_waybel_1(k1_waybel_1(k7_lattice3(X8),k7_lattice3(X7),X12,X11),k7_lattice3(X8),k7_lattice3(X7))
| v3_waybel_1(k1_waybel_1(X7,X8,X9,X10),X7,X8)
| X9 != X11
| X10 != X12
| ~ v1_funct_1(X12)
| ~ v1_funct_2(X12,u1_struct_0(k7_lattice3(X8)),u1_struct_0(k7_lattice3(X7)))
| ~ m2_relset_1(X12,u1_struct_0(k7_lattice3(X8)),u1_struct_0(k7_lattice3(X7)))
| ~ v1_funct_1(X11)
| ~ v1_funct_2(X11,u1_struct_0(k7_lattice3(X7)),u1_struct_0(k7_lattice3(X8)))
| ~ m2_relset_1(X11,u1_struct_0(k7_lattice3(X7)),u1_struct_0(k7_lattice3(X8)))
| ~ v1_funct_1(X10)
| ~ v1_funct_2(X10,u1_struct_0(X8),u1_struct_0(X7))
| ~ m2_relset_1(X10,u1_struct_0(X8),u1_struct_0(X7))
| ~ v1_funct_1(X9)
| ~ v1_funct_2(X9,u1_struct_0(X7),u1_struct_0(X8))
| ~ m2_relset_1(X9,u1_struct_0(X7),u1_struct_0(X8))
| v3_struct_0(X8)
| ~ v2_orders_2(X8)
| ~ v3_orders_2(X8)
| ~ v4_orders_2(X8)
| ~ l1_orders_2(X8)
| v3_struct_0(X7)
| ~ v2_orders_2(X7)
| ~ v3_orders_2(X7)
| ~ v4_orders_2(X7)
| ~ l1_orders_2(X7) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t44_yellow_7])])])])])])]) ).
fof(c_0_42,plain,
! [X2] :
( ~ l1_orders_2(X2)
| u1_struct_0(X2) = u1_struct_0(k7_lattice3(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t12_yellow_6])]) ).
fof(c_0_43,plain,
! [X2] :
( ~ l1_orders_2(X2)
| ~ v1_lattice3(X2)
| ~ v3_struct_0(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[cc1_lattice3])])]) ).
fof(c_0_44,plain,
! [X5,X6,X7,X8] :
( ( X8 != k2_waybel34(X5,X6,X7)
| v3_waybel_1(k1_waybel_1(X5,X6,X8,X7),X5,X6)
| ~ v1_funct_1(X8)
| ~ v1_funct_2(X8,u1_struct_0(X5),u1_struct_0(X6))
| ~ m2_relset_1(X8,u1_struct_0(X5),u1_struct_0(X6))
| ~ v3_lattice3(X5)
| ~ v3_lattice3(X6)
| ~ v18_waybel_0(X7,X6,X5)
| ~ v1_funct_1(X7)
| ~ v1_funct_2(X7,u1_struct_0(X6),u1_struct_0(X5))
| ~ m2_relset_1(X7,u1_struct_0(X6),u1_struct_0(X5))
| ~ v2_orders_2(X6)
| ~ v3_orders_2(X6)
| ~ v4_orders_2(X6)
| ~ v1_lattice3(X6)
| ~ v2_lattice3(X6)
| ~ l1_orders_2(X6)
| ~ v2_orders_2(X5)
| ~ v3_orders_2(X5)
| ~ v4_orders_2(X5)
| ~ v1_lattice3(X5)
| ~ v2_lattice3(X5)
| ~ l1_orders_2(X5) )
& ( ~ v3_waybel_1(k1_waybel_1(X5,X6,X8,X7),X5,X6)
| X8 = k2_waybel34(X5,X6,X7)
| ~ v1_funct_1(X8)
| ~ v1_funct_2(X8,u1_struct_0(X5),u1_struct_0(X6))
| ~ m2_relset_1(X8,u1_struct_0(X5),u1_struct_0(X6))
| ~ v3_lattice3(X5)
| ~ v3_lattice3(X6)
| ~ v18_waybel_0(X7,X6,X5)
| ~ v1_funct_1(X7)
| ~ v1_funct_2(X7,u1_struct_0(X6),u1_struct_0(X5))
| ~ m2_relset_1(X7,u1_struct_0(X6),u1_struct_0(X5))
| ~ v2_orders_2(X6)
| ~ v3_orders_2(X6)
| ~ v4_orders_2(X6)
| ~ v1_lattice3(X6)
| ~ v2_lattice3(X6)
| ~ l1_orders_2(X6)
| ~ v2_orders_2(X5)
| ~ v3_orders_2(X5)
| ~ v4_orders_2(X5)
| ~ v1_lattice3(X5)
| ~ v2_lattice3(X5)
| ~ l1_orders_2(X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_waybel34])])])])])]) ).
cnf(c_0_45,plain,
( v1_funct_2(k2_waybel34(X3,X2,X1),u1_struct_0(X3),u1_struct_0(X2))
| ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_funct_1(X1)
| ~ l1_orders_2(X2)
| ~ v2_lattice3(X2)
| ~ v1_lattice3(X2)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X2)
| ~ l1_orders_2(X3)
| ~ v2_lattice3(X3)
| ~ v1_lattice3(X3)
| ~ v4_orders_2(X3)
| ~ v3_orders_2(X3)
| ~ v2_orders_2(X3) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_46,plain,
( v1_funct_1(k2_waybel34(X3,X2,X1))
| ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_funct_1(X1)
| ~ l1_orders_2(X2)
| ~ v2_lattice3(X2)
| ~ v1_lattice3(X2)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X2)
| ~ l1_orders_2(X3)
| ~ v2_lattice3(X3)
| ~ v1_lattice3(X3)
| ~ v4_orders_2(X3)
| ~ v3_orders_2(X3)
| ~ v2_orders_2(X3) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_47,plain,
( k1_waybel_1(X1,X2,X3,X4) = k4_tarski(X3,X4)
| ~ m1_relset_1(X4,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_2(X4,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_48,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(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(pm,[status(thm)],[c_0_25,c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_35]),c_0_36]),c_0_37]),c_0_38]),c_0_39])]),c_0_40])]) ).
cnf(c_0_49,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v3_waybel_1(k1_waybel_1(k7_lattice3(X2),k7_lattice3(X1),X6,X5),k7_lattice3(X2),k7_lattice3(X1))
| ~ l1_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X2)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_2(X4,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_1(X4)
| ~ m2_relset_1(X5,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X2)))
| ~ v1_funct_2(X5,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X2)))
| ~ v1_funct_1(X5)
| ~ m2_relset_1(X6,u1_struct_0(k7_lattice3(X2)),u1_struct_0(k7_lattice3(X1)))
| ~ v1_funct_2(X6,u1_struct_0(k7_lattice3(X2)),u1_struct_0(k7_lattice3(X1)))
| ~ v1_funct_1(X6)
| X4 != X6
| X3 != X5
| ~ v3_waybel_1(k1_waybel_1(X1,X2,X3,X4),X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_50,plain,
( u1_struct_0(X1) = u1_struct_0(k7_lattice3(X1))
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_51,plain,
( ~ v3_struct_0(X1)
| ~ v1_lattice3(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_52,plain,
( v3_waybel_1(k1_waybel_1(X1,X2,X4,X3),X1,X2)
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v2_lattice3(X2)
| ~ v1_lattice3(X2)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X2)
| ~ m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_1(X3)
| ~ v18_waybel_0(X3,X2,X1)
| ~ v3_lattice3(X2)
| ~ v3_lattice3(X1)
| ~ m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X4)
| X4 != k2_waybel34(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_53,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(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(pm,[status(thm)],[c_0_45,c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_35]),c_0_36]),c_0_37]),c_0_38]),c_0_39])]),c_0_40])]) ).
cnf(c_0_54,negated_conjecture,
v3_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_55,negated_conjecture,
v3_lattice3(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_56,negated_conjecture,
v1_funct_1(k2_waybel34(esk2_0,esk1_0,esk3_0)),
inference(cn,[status(thm)],[inference(rw,[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(pm,[status(thm)],[c_0_46,c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_35]),c_0_36]),c_0_37]),c_0_38]),c_0_39])]),c_0_40])]) ).
cnf(c_0_57,negated_conjecture,
( k1_waybel_1(esk2_0,esk1_0,X1,esk3_0) = k4_tarski(X1,esk3_0)
| ~ v1_funct_2(X1,u1_struct_0(esk2_0),u1_struct_0(esk1_0))
| ~ m1_relset_1(X1,u1_struct_0(esk2_0),u1_struct_0(esk1_0))
| ~ v1_funct_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_47,c_0_26]),c_0_38]),c_0_37]),c_0_39])]),c_0_40])]) ).
cnf(c_0_58,negated_conjecture,
m1_relset_1(k2_waybel34(esk2_0,esk1_0,esk3_0),u1_struct_0(esk2_0),u1_struct_0(esk1_0)),
inference(pm,[status(thm)],[c_0_22,c_0_48]) ).
fof(c_0_59,plain,
! [X4,X5,X6] :
( ~ l1_orders_2(X4)
| ~ l1_orders_2(X5)
| ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,u1_struct_0(X4),u1_struct_0(X5))
| ~ m2_relset_1(X6,u1_struct_0(X4),u1_struct_0(X5))
| k3_waybel34(X4,X5,X6) = X6 ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_waybel34])])])])]) ).
cnf(c_0_60,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)
| ~ v4_orders_2(X1)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v1_funct_2(X3,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X2)))
| ~ v1_funct_2(X4,u1_struct_0(k7_lattice3(X2)),u1_struct_0(k7_lattice3(X1)))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X4,u1_struct_0(X2),u1_struct_0(X1))
| ~ m2_relset_1(X3,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X2)))
| ~ m2_relset_1(X4,u1_struct_0(k7_lattice3(X2)),u1_struct_0(k7_lattice3(X1)))
| ~ 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_1(X3)
| ~ v1_funct_1(X4) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_49])]) ).
cnf(c_0_61,negated_conjecture,
u1_struct_0(k7_lattice3(esk1_0)) = u1_struct_0(esk1_0),
inference(pm,[status(thm)],[c_0_50,c_0_38]) ).
cnf(c_0_62,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_51,c_0_30]),c_0_38])]) ).
cnf(c_0_63,negated_conjecture,
( v3_waybel_1(k1_waybel_1(esk2_0,esk1_0,k2_waybel34(esk2_0,esk1_0,esk3_0),X1),esk2_0,esk1_0)
| k2_waybel34(esk2_0,esk1_0,esk3_0) != k2_waybel34(esk2_0,esk1_0,X1)
| ~ v18_waybel_0(X1,esk1_0,esk2_0)
| ~ v1_funct_2(X1,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
| ~ m2_relset_1(X1,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
| ~ v1_funct_1(X1) ),
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(pm,[status(thm)],[c_0_52,c_0_53]),c_0_54]),c_0_55]),c_0_28]),c_0_27]),c_0_30]),c_0_29]),c_0_32]),c_0_31]),c_0_34]),c_0_33]),c_0_36]),c_0_35]),c_0_38]),c_0_37]),c_0_48]),c_0_56])]) ).
cnf(c_0_64,negated_conjecture,
v18_waybel_0(esk3_0,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_65,negated_conjecture,
k1_waybel_1(esk2_0,esk1_0,k2_waybel34(esk2_0,esk1_0,esk3_0),esk3_0) = k4_tarski(k2_waybel34(esk2_0,esk1_0,esk3_0),esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_57,c_0_53]),c_0_56])]),c_0_58])]) ).
fof(c_0_66,plain,
! [X4,X5,X6] :
( ( v1_relat_1(k3_waybel34(X4,X5,X6))
| ~ v2_orders_2(X4)
| ~ v3_orders_2(X4)
| ~ v4_orders_2(X4)
| ~ v1_lattice3(X4)
| ~ v2_lattice3(X4)
| ~ v3_lattice3(X4)
| ~ l1_orders_2(X4)
| ~ v2_orders_2(X5)
| ~ v3_orders_2(X5)
| ~ v4_orders_2(X5)
| ~ v1_lattice3(X5)
| ~ v2_lattice3(X5)
| ~ v3_lattice3(X5)
| ~ l1_orders_2(X5)
| ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,u1_struct_0(X4),u1_struct_0(X5))
| ~ v18_waybel_0(X6,X4,X5)
| ~ m1_relset_1(X6,u1_struct_0(X4),u1_struct_0(X5)) )
& ( v1_funct_1(k3_waybel34(X4,X5,X6))
| ~ v2_orders_2(X4)
| ~ v3_orders_2(X4)
| ~ v4_orders_2(X4)
| ~ v1_lattice3(X4)
| ~ v2_lattice3(X4)
| ~ v3_lattice3(X4)
| ~ l1_orders_2(X4)
| ~ v2_orders_2(X5)
| ~ v3_orders_2(X5)
| ~ v4_orders_2(X5)
| ~ v1_lattice3(X5)
| ~ v2_lattice3(X5)
| ~ v3_lattice3(X5)
| ~ l1_orders_2(X5)
| ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,u1_struct_0(X4),u1_struct_0(X5))
| ~ v18_waybel_0(X6,X4,X5)
| ~ m1_relset_1(X6,u1_struct_0(X4),u1_struct_0(X5)) )
& ( ~ v1_xboole_0(k3_waybel34(X4,X5,X6))
| ~ v2_orders_2(X4)
| ~ v3_orders_2(X4)
| ~ v4_orders_2(X4)
| ~ v1_lattice3(X4)
| ~ v2_lattice3(X4)
| ~ v3_lattice3(X4)
| ~ l1_orders_2(X4)
| ~ v2_orders_2(X5)
| ~ v3_orders_2(X5)
| ~ v4_orders_2(X5)
| ~ v1_lattice3(X5)
| ~ v2_lattice3(X5)
| ~ v3_lattice3(X5)
| ~ l1_orders_2(X5)
| ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,u1_struct_0(X4),u1_struct_0(X5))
| ~ v18_waybel_0(X6,X4,X5)
| ~ m1_relset_1(X6,u1_struct_0(X4),u1_struct_0(X5)) )
& ( v1_funct_2(k3_waybel34(X4,X5,X6),u1_struct_0(k7_lattice3(X4)),u1_struct_0(k7_lattice3(X5)))
| ~ v2_orders_2(X4)
| ~ v3_orders_2(X4)
| ~ v4_orders_2(X4)
| ~ v1_lattice3(X4)
| ~ v2_lattice3(X4)
| ~ v3_lattice3(X4)
| ~ l1_orders_2(X4)
| ~ v2_orders_2(X5)
| ~ v3_orders_2(X5)
| ~ v4_orders_2(X5)
| ~ v1_lattice3(X5)
| ~ v2_lattice3(X5)
| ~ v3_lattice3(X5)
| ~ l1_orders_2(X5)
| ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,u1_struct_0(X4),u1_struct_0(X5))
| ~ v18_waybel_0(X6,X4,X5)
| ~ m1_relset_1(X6,u1_struct_0(X4),u1_struct_0(X5)) )
& ( v1_partfun1(k3_waybel34(X4,X5,X6),u1_struct_0(k7_lattice3(X4)),u1_struct_0(k7_lattice3(X5)))
| ~ v2_orders_2(X4)
| ~ v3_orders_2(X4)
| ~ v4_orders_2(X4)
| ~ v1_lattice3(X4)
| ~ v2_lattice3(X4)
| ~ v3_lattice3(X4)
| ~ l1_orders_2(X4)
| ~ v2_orders_2(X5)
| ~ v3_orders_2(X5)
| ~ v4_orders_2(X5)
| ~ v1_lattice3(X5)
| ~ v2_lattice3(X5)
| ~ v3_lattice3(X5)
| ~ l1_orders_2(X5)
| ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,u1_struct_0(X4),u1_struct_0(X5))
| ~ v18_waybel_0(X6,X4,X5)
| ~ m1_relset_1(X6,u1_struct_0(X4),u1_struct_0(X5)) )
& ( v17_waybel_0(k3_waybel34(X4,X5,X6),k7_lattice3(X4),k7_lattice3(X5))
| ~ v2_orders_2(X4)
| ~ v3_orders_2(X4)
| ~ v4_orders_2(X4)
| ~ v1_lattice3(X4)
| ~ v2_lattice3(X4)
| ~ v3_lattice3(X4)
| ~ l1_orders_2(X4)
| ~ v2_orders_2(X5)
| ~ v3_orders_2(X5)
| ~ v4_orders_2(X5)
| ~ v1_lattice3(X5)
| ~ v2_lattice3(X5)
| ~ v3_lattice3(X5)
| ~ l1_orders_2(X5)
| ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,u1_struct_0(X4),u1_struct_0(X5))
| ~ v18_waybel_0(X6,X4,X5)
| ~ m1_relset_1(X6,u1_struct_0(X4),u1_struct_0(X5)) )
& ( v19_waybel_0(k3_waybel34(X4,X5,X6),k7_lattice3(X4),k7_lattice3(X5))
| ~ v2_orders_2(X4)
| ~ v3_orders_2(X4)
| ~ v4_orders_2(X4)
| ~ v1_lattice3(X4)
| ~ v2_lattice3(X4)
| ~ v3_lattice3(X4)
| ~ l1_orders_2(X4)
| ~ v2_orders_2(X5)
| ~ v3_orders_2(X5)
| ~ v4_orders_2(X5)
| ~ v1_lattice3(X5)
| ~ v2_lattice3(X5)
| ~ v3_lattice3(X5)
| ~ l1_orders_2(X5)
| ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,u1_struct_0(X4),u1_struct_0(X5))
| ~ v18_waybel_0(X6,X4,X5)
| ~ m1_relset_1(X6,u1_struct_0(X4),u1_struct_0(X5)) )
& ( v21_waybel_0(k3_waybel34(X4,X5,X6),k7_lattice3(X4),k7_lattice3(X5))
| ~ v2_orders_2(X4)
| ~ v3_orders_2(X4)
| ~ v4_orders_2(X4)
| ~ v1_lattice3(X4)
| ~ v2_lattice3(X4)
| ~ v3_lattice3(X4)
| ~ l1_orders_2(X4)
| ~ v2_orders_2(X5)
| ~ v3_orders_2(X5)
| ~ v4_orders_2(X5)
| ~ v1_lattice3(X5)
| ~ v2_lattice3(X5)
| ~ v3_lattice3(X5)
| ~ l1_orders_2(X5)
| ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,u1_struct_0(X4),u1_struct_0(X5))
| ~ v18_waybel_0(X6,X4,X5)
| ~ m1_relset_1(X6,u1_struct_0(X4),u1_struct_0(X5)) )
& ( v4_waybel_1(k3_waybel34(X4,X5,X6),k7_lattice3(X4),k7_lattice3(X5))
| ~ v2_orders_2(X4)
| ~ v3_orders_2(X4)
| ~ v4_orders_2(X4)
| ~ v1_lattice3(X4)
| ~ v2_lattice3(X4)
| ~ v3_lattice3(X4)
| ~ l1_orders_2(X4)
| ~ v2_orders_2(X5)
| ~ v3_orders_2(X5)
| ~ v4_orders_2(X5)
| ~ v1_lattice3(X5)
| ~ v2_lattice3(X5)
| ~ v3_lattice3(X5)
| ~ l1_orders_2(X5)
| ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,u1_struct_0(X4),u1_struct_0(X5))
| ~ v18_waybel_0(X6,X4,X5)
| ~ m1_relset_1(X6,u1_struct_0(X4),u1_struct_0(X5)) )
& ( v5_orders_3(k3_waybel34(X4,X5,X6),k7_lattice3(X4),k7_lattice3(X5))
| ~ v2_orders_2(X4)
| ~ v3_orders_2(X4)
| ~ v4_orders_2(X4)
| ~ v1_lattice3(X4)
| ~ v2_lattice3(X4)
| ~ v3_lattice3(X4)
| ~ l1_orders_2(X4)
| ~ v2_orders_2(X5)
| ~ v3_orders_2(X5)
| ~ v4_orders_2(X5)
| ~ v1_lattice3(X5)
| ~ v2_lattice3(X5)
| ~ v3_lattice3(X5)
| ~ l1_orders_2(X5)
| ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,u1_struct_0(X4),u1_struct_0(X5))
| ~ v18_waybel_0(X6,X4,X5)
| ~ m1_relset_1(X6,u1_struct_0(X4),u1_struct_0(X5)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fc4_waybel34])])])]) ).
cnf(c_0_67,plain,
( k3_waybel34(X1,X2,X3) = X3
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
fof(c_0_68,plain,
! [X2] :
( ( ~ v3_struct_0(k7_lattice3(X2))
| v3_struct_0(X2)
| ~ v3_lattice3(X2)
| ~ l1_orders_2(X2) )
& ( v1_orders_2(k7_lattice3(X2))
| v3_struct_0(X2)
| ~ v3_lattice3(X2)
| ~ l1_orders_2(X2) )
& ( v1_lattice3(k7_lattice3(X2))
| v3_struct_0(X2)
| ~ v3_lattice3(X2)
| ~ l1_orders_2(X2) )
& ( v2_lattice3(k7_lattice3(X2))
| v3_struct_0(X2)
| ~ v3_lattice3(X2)
| ~ l1_orders_2(X2) )
& ( v3_lattice3(k7_lattice3(X2))
| v3_struct_0(X2)
| ~ v3_lattice3(X2)
| ~ l1_orders_2(X2) )
& ( v1_yellow_0(k7_lattice3(X2))
| v3_struct_0(X2)
| ~ v3_lattice3(X2)
| ~ l1_orders_2(X2) )
& ( v2_yellow_0(k7_lattice3(X2))
| v3_struct_0(X2)
| ~ v3_lattice3(X2)
| ~ l1_orders_2(X2) )
& ( v3_yellow_0(k7_lattice3(X2))
| v3_struct_0(X2)
| ~ v3_lattice3(X2)
| ~ l1_orders_2(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fc7_yellow_7])])])]) ).
fof(c_0_69,plain,
! [X2] :
( ( ~ v1_lattice3(X2)
| v2_lattice3(k7_lattice3(X2))
| ~ l1_orders_2(X2) )
& ( ~ v2_lattice3(k7_lattice3(X2))
| v1_lattice3(X2)
| ~ l1_orders_2(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t10_lattice3])])]) ).
fof(c_0_70,plain,
! [X2] :
( ( ~ v3_struct_0(k7_lattice3(X2))
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2) )
& ( v1_orders_2(k7_lattice3(X2))
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2) )
& ( v1_lattice3(k7_lattice3(X2))
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fc5_yellow_7])])])]) ).
fof(c_0_71,plain,
! [X2] :
( ( v1_orders_2(k7_lattice3(X2))
| ~ v4_orders_2(X2)
| ~ l1_orders_2(X2) )
& ( v4_orders_2(k7_lattice3(X2))
| ~ v4_orders_2(X2)
| ~ l1_orders_2(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc3_yellow_7])])]) ).
fof(c_0_72,plain,
! [X2] :
( ( v1_orders_2(k7_lattice3(X2))
| ~ v3_orders_2(X2)
| ~ l1_orders_2(X2) )
& ( v3_orders_2(k7_lattice3(X2))
| ~ v3_orders_2(X2)
| ~ l1_orders_2(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc2_yellow_7])])]) ).
fof(c_0_73,plain,
! [X2] :
( ( v1_orders_2(k7_lattice3(X2))
| ~ v2_orders_2(X2)
| ~ l1_orders_2(X2) )
& ( v2_orders_2(k7_lattice3(X2))
| ~ v2_orders_2(X2)
| ~ l1_orders_2(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc1_yellow_7])])]) ).
fof(c_0_74,plain,
! [X2] :
( ( v1_orders_2(k7_lattice3(X2))
| ~ l1_orders_2(X2) )
& ( l1_orders_2(k7_lattice3(X2))
| ~ l1_orders_2(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k7_lattice3])])]) ).
fof(c_0_75,plain,
! [X5,X6,X7,X8] :
( ( X8 != k1_waybel34(X5,X6,X7)
| v3_waybel_1(k1_waybel_1(X5,X6,X7,X8),X5,X6)
| ~ v1_funct_1(X8)
| ~ v1_funct_2(X8,u1_struct_0(X6),u1_struct_0(X5))
| ~ m2_relset_1(X8,u1_struct_0(X6),u1_struct_0(X5))
| ~ v3_lattice3(X5)
| ~ v3_lattice3(X6)
| ~ v17_waybel_0(X7,X5,X6)
| ~ v1_funct_1(X7)
| ~ v1_funct_2(X7,u1_struct_0(X5),u1_struct_0(X6))
| ~ m2_relset_1(X7,u1_struct_0(X5),u1_struct_0(X6))
| ~ v2_orders_2(X6)
| ~ v3_orders_2(X6)
| ~ v4_orders_2(X6)
| ~ v1_lattice3(X6)
| ~ v2_lattice3(X6)
| ~ l1_orders_2(X6)
| ~ v2_orders_2(X5)
| ~ v3_orders_2(X5)
| ~ v4_orders_2(X5)
| ~ v1_lattice3(X5)
| ~ v2_lattice3(X5)
| ~ l1_orders_2(X5) )
& ( ~ v3_waybel_1(k1_waybel_1(X5,X6,X7,X8),X5,X6)
| X8 = k1_waybel34(X5,X6,X7)
| ~ v1_funct_1(X8)
| ~ v1_funct_2(X8,u1_struct_0(X6),u1_struct_0(X5))
| ~ m2_relset_1(X8,u1_struct_0(X6),u1_struct_0(X5))
| ~ v3_lattice3(X5)
| ~ v3_lattice3(X6)
| ~ v17_waybel_0(X7,X5,X6)
| ~ v1_funct_1(X7)
| ~ v1_funct_2(X7,u1_struct_0(X5),u1_struct_0(X6))
| ~ m2_relset_1(X7,u1_struct_0(X5),u1_struct_0(X6))
| ~ v2_orders_2(X6)
| ~ v3_orders_2(X6)
| ~ v4_orders_2(X6)
| ~ v1_lattice3(X6)
| ~ v2_lattice3(X6)
| ~ l1_orders_2(X6)
| ~ v2_orders_2(X5)
| ~ v3_orders_2(X5)
| ~ v4_orders_2(X5)
| ~ v1_lattice3(X5)
| ~ v2_lattice3(X5)
| ~ l1_orders_2(X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_waybel34])])])])])]) ).
cnf(c_0_76,negated_conjecture,
( v3_waybel_1(k1_waybel_1(k7_lattice3(esk1_0),k7_lattice3(X1),X2,X3),k7_lattice3(esk1_0),k7_lattice3(X1))
| v3_struct_0(X1)
| ~ v3_waybel_1(k1_waybel_1(X1,esk1_0,X3,X2),X1,esk1_0)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_2(X2,u1_struct_0(esk1_0),u1_struct_0(k7_lattice3(X1)))
| ~ v1_funct_2(X3,u1_struct_0(k7_lattice3(X1)),u1_struct_0(esk1_0))
| ~ v1_funct_2(X2,u1_struct_0(esk1_0),u1_struct_0(X1))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(esk1_0))
| ~ m2_relset_1(X2,u1_struct_0(esk1_0),u1_struct_0(k7_lattice3(X1)))
| ~ m2_relset_1(X3,u1_struct_0(k7_lattice3(X1)),u1_struct_0(esk1_0))
| ~ m2_relset_1(X2,u1_struct_0(esk1_0),u1_struct_0(X1))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(esk1_0))
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X3) ),
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(pm,[status(thm)],[c_0_60,c_0_61]),c_0_32]),c_0_34]),c_0_36]),c_0_38]),c_0_61]),c_0_61]),c_0_61])]),c_0_62]) ).
cnf(c_0_77,negated_conjecture,
u1_struct_0(k7_lattice3(esk2_0)) = u1_struct_0(esk2_0),
inference(pm,[status(thm)],[c_0_50,c_0_37]) ).
cnf(c_0_78,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_51,c_0_29]),c_0_37])]) ).
cnf(c_0_79,negated_conjecture,
v3_waybel_1(k4_tarski(k2_waybel34(esk2_0,esk1_0,esk3_0),esk3_0),esk2_0,esk1_0),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_63,c_0_26]),c_0_64]),c_0_23]),c_0_39])]),c_0_65]) ).
cnf(c_0_80,plain,
( v17_waybel_0(k3_waybel34(X2,X3,X1),k7_lattice3(X2),k7_lattice3(X3))
| ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v18_waybel_0(X1,X2,X3)
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_funct_1(X1)
| ~ l1_orders_2(X3)
| ~ v3_lattice3(X3)
| ~ v2_lattice3(X3)
| ~ v1_lattice3(X3)
| ~ v4_orders_2(X3)
| ~ v3_orders_2(X3)
| ~ v2_orders_2(X3)
| ~ l1_orders_2(X2)
| ~ v3_lattice3(X2)
| ~ v2_lattice3(X2)
| ~ v1_lattice3(X2)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_81,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(pm,[status(thm)],[c_0_67,c_0_26]),c_0_37]),c_0_38]),c_0_23]),c_0_39])]) ).
cnf(c_0_82,plain,
( v3_struct_0(X1)
| v3_lattice3(k7_lattice3(X1))
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_83,plain,
( v2_lattice3(k7_lattice3(X1))
| ~ l1_orders_2(X1)
| ~ v1_lattice3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_84,plain,
( v1_lattice3(k7_lattice3(X1))
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_85,plain,
( v4_orders_2(k7_lattice3(X1))
| ~ l1_orders_2(X1)
| ~ v4_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_86,plain,
( v3_orders_2(k7_lattice3(X1))
| ~ l1_orders_2(X1)
| ~ v3_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_87,plain,
( v2_orders_2(k7_lattice3(X1))
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_88,plain,
( l1_orders_2(k7_lattice3(X1))
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_89,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_20]) ).
cnf(c_0_90,plain,
( X4 = k1_waybel34(X1,X2,X3)
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v2_lattice3(X2)
| ~ v1_lattice3(X2)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X2)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ~ v17_waybel_0(X3,X1,X2)
| ~ v3_lattice3(X2)
| ~ v3_lattice3(X1)
| ~ m2_relset_1(X4,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_2(X4,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_1(X4)
| ~ v3_waybel_1(k1_waybel_1(X1,X2,X3,X4),X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_91,negated_conjecture,
v3_waybel_1(k1_waybel_1(k7_lattice3(esk1_0),k7_lattice3(esk2_0),esk3_0,k2_waybel34(esk2_0,esk1_0,esk3_0)),k7_lattice3(esk1_0),k7_lattice3(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_76,c_0_65]),c_0_31]),c_0_33]),c_0_35]),c_0_37]),c_0_77]),c_0_26]),c_0_77]),c_0_53]),c_0_26]),c_0_53]),c_0_77]),c_0_23]),c_0_77]),c_0_48]),c_0_23]),c_0_48]),c_0_39]),c_0_56])]),c_0_78]),c_0_79])]) ).
cnf(c_0_92,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(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(pm,[status(thm)],[c_0_80,c_0_26]),c_0_64]),c_0_55]),c_0_54]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_35]),c_0_36]),c_0_37]),c_0_38]),c_0_39])]),c_0_81]),c_0_40])]) ).
cnf(c_0_93,negated_conjecture,
v3_lattice3(k7_lattice3(esk2_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_82,c_0_55]),c_0_37])]),c_0_78]) ).
cnf(c_0_94,negated_conjecture,
v3_lattice3(k7_lattice3(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_82,c_0_54]),c_0_38])]),c_0_62]) ).
cnf(c_0_95,negated_conjecture,
v2_lattice3(k7_lattice3(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_83,c_0_29]),c_0_37])]) ).
cnf(c_0_96,negated_conjecture,
v2_lattice3(k7_lattice3(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_83,c_0_30]),c_0_38])]) ).
cnf(c_0_97,negated_conjecture,
v1_lattice3(k7_lattice3(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_84,c_0_27]),c_0_37])]) ).
cnf(c_0_98,negated_conjecture,
v1_lattice3(k7_lattice3(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_84,c_0_28]),c_0_38])]) ).
cnf(c_0_99,negated_conjecture,
v4_orders_2(k7_lattice3(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_85,c_0_31]),c_0_37])]) ).
cnf(c_0_100,negated_conjecture,
v4_orders_2(k7_lattice3(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_85,c_0_32]),c_0_38])]) ).
cnf(c_0_101,negated_conjecture,
v3_orders_2(k7_lattice3(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_86,c_0_33]),c_0_37])]) ).
cnf(c_0_102,negated_conjecture,
v3_orders_2(k7_lattice3(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_86,c_0_34]),c_0_38])]) ).
cnf(c_0_103,negated_conjecture,
v2_orders_2(k7_lattice3(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_87,c_0_35]),c_0_37])]) ).
cnf(c_0_104,negated_conjecture,
v2_orders_2(k7_lattice3(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_87,c_0_36]),c_0_38])]) ).
cnf(c_0_105,negated_conjecture,
l1_orders_2(k7_lattice3(esk2_0)),
inference(pm,[status(thm)],[c_0_88,c_0_37]) ).
cnf(c_0_106,negated_conjecture,
l1_orders_2(k7_lattice3(esk1_0)),
inference(pm,[status(thm)],[c_0_88,c_0_38]) ).
cnf(c_0_107,negated_conjecture,
k2_waybel34(esk2_0,esk1_0,esk3_0) != k1_waybel34(k7_lattice3(esk1_0),k7_lattice3(esk2_0),esk3_0),
inference(rw,[status(thm)],[c_0_89,c_0_81]) ).
cnf(c_0_108,negated_conjecture,
$false,
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(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(pm,[status(thm)],[c_0_90,c_0_91]),c_0_92]),c_0_93]),c_0_94]),c_0_95]),c_0_96]),c_0_97]),c_0_98]),c_0_99]),c_0_100]),c_0_101]),c_0_102]),c_0_103]),c_0_104]),c_0_105]),c_0_106]),c_0_77]),c_0_61]),c_0_53]),c_0_61]),c_0_77]),c_0_26]),c_0_77]),c_0_61]),c_0_48]),c_0_61]),c_0_77]),c_0_23]),c_0_56]),c_0_39])]),c_0_107]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : LAT355+4 : TPTP v8.1.0. Released v3.4.0.
% 0.13/0.14 % Command : run_ET %s %d
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Thu Jun 30 09:39:57 EDT 2022
% 0.13/0.35 % CPUTime :
% 3.48/26.52 eprover: CPU time limit exceeded, terminating
% 3.48/26.53 eprover: CPU time limit exceeded, terminating
% 3.48/26.53 eprover: CPU time limit exceeded, terminating
% 3.48/26.54 eprover: CPU time limit exceeded, terminating
% 3.61/49.56 eprover: CPU time limit exceeded, terminating
% 3.61/49.57 eprover: CPU time limit exceeded, terminating
% 3.61/49.58 eprover: CPU time limit exceeded, terminating
% 3.61/49.66 eprover: CPU time limit exceeded, terminating
% 3.76/72.61 eprover: CPU time limit exceeded, terminating
% 3.76/72.62 eprover: CPU time limit exceeded, terminating
% 3.76/72.63 eprover: CPU time limit exceeded, terminating
% 3.76/72.69 eprover: CPU time limit exceeded, terminating
% 3.89/95.68 eprover: CPU time limit exceeded, terminating
% 3.89/95.68 eprover: CPU time limit exceeded, terminating
% 3.89/95.68 eprover: CPU time limit exceeded, terminating
% 3.89/95.76 eprover: CPU time limit exceeded, terminating
% 4.04/118.72 eprover: CPU time limit exceeded, terminating
% 4.04/118.74 eprover: CPU time limit exceeded, terminating
% 4.04/118.76 eprover: CPU time limit exceeded, terminating
% 4.04/118.81 eprover: CPU time limit exceeded, terminating
% 4.18/141.74 eprover: CPU time limit exceeded, terminating
% 4.18/141.76 eprover: CPU time limit exceeded, terminating
% 4.18/141.82 eprover: CPU time limit exceeded, terminating
% 4.18/141.83 eprover: CPU time limit exceeded, terminating
% 4.35/164.76 eprover: CPU time limit exceeded, terminating
% 4.35/164.84 eprover: CPU time limit exceeded, terminating
% 4.35/164.85 eprover: CPU time limit exceeded, terminating
% 4.35/164.88 eprover: CPU time limit exceeded, terminating
% 4.48/187.79 eprover: CPU time limit exceeded, terminating
% 4.48/187.87 eprover: CPU time limit exceeded, terminating
% 4.48/187.88 eprover: CPU time limit exceeded, terminating
% 4.48/187.91 eprover: CPU time limit exceeded, terminating
% 4.61/210.83 eprover: CPU time limit exceeded, terminating
% 4.62/210.93 eprover: CPU time limit exceeded, terminating
% 4.62/210.93 eprover: CPU time limit exceeded, terminating
% 4.62/210.94 eprover: CPU time limit exceeded, terminating
% 4.76/233.85 eprover: CPU time limit exceeded, terminating
% 4.76/233.96 eprover: CPU time limit exceeded, terminating
% 4.76/233.97 eprover: CPU time limit exceeded, terminating
% 4.76/233.98 eprover: CPU time limit exceeded, terminating
% 4.90/256.93 eprover: CPU time limit exceeded, terminating
% 4.90/257.02 eprover: CPU time limit exceeded, terminating
% 4.90/257.02 eprover: CPU time limit exceeded, terminating
% 4.90/257.04 eprover: CPU time limit exceeded, terminating
% 4.97/269.14 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 4.97/269.14
% 4.97/269.14 # Failure: Resource limit exceeded (time)
% 4.97/269.14 # OLD status Res
% 4.97/269.14 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 4.97/269.14 # Preprocessing time : 2.325 s
% 4.97/269.14 # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 4.97/269.14
% 4.97/269.14 # Failure: Resource limit exceeded (time)
% 4.97/269.14 # OLD status Res
% 4.97/269.14 # Preprocessing time : 17.876 s
% 4.97/269.14 # Running protocol protocol_eprover_eb48853eb71ccd2a6fdade56c25b63f5692e1a0c for 23 seconds:
% 4.97/269.14
% 4.97/269.14 # Failure: Resource limit exceeded (time)
% 4.97/269.14 # OLD status Res
% 4.97/269.14 # Preprocessing time : 15.231 s
% 4.97/269.14 # Running protocol protocol_eprover_761a0d093d9701c0eed884aebb46468e8d439c31 for 23 seconds:
% 4.97/269.14
% 4.97/269.14 # Failure: Resource limit exceeded (time)
% 4.97/269.14 # OLD status Res
% 4.97/269.14 # SinE strategy is GSinE(CountFormulas,hypos,1.2,,,100,1.0)
% 4.97/269.14 # Preprocessing time : 2.124 s
% 4.97/269.14 # Running protocol protocol_eprover_bb5e3cecdbc7660bd3a6f864cadb7769d8aea26a for 23 seconds:
% 4.97/269.14
% 4.97/269.14 # Failure: Resource limit exceeded (time)
% 4.97/269.14 # OLD status Res
% 4.97/269.14 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,,500,1.0)
% 4.97/269.14 # Preprocessing time : 2.598 s
% 4.97/269.14 # Running protocol protocol_eprover_e252f7803940d118fa0ef69fc2319cb55aee23b9 for 23 seconds:
% 4.97/269.14
% 4.97/269.14 # Failure: Resource limit exceeded (time)
% 4.97/269.14 # OLD status Res
% 4.97/269.14 # SinE strategy is GSinE(CountFormulas,,1.4,,03,100,1.0)
% 4.97/269.14 # Preprocessing time : 2.340 s
% 4.97/269.14 # Running protocol protocol_eprover_b1d72019af42f5b571a6c0b233a5b6d1de064075 for 23 seconds:
% 4.97/269.14
% 4.97/269.14 # Failure: Resource limit exceeded (time)
% 4.97/269.14 # OLD status Res
% 4.97/269.14 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,02,500,1.0)
% 4.97/269.14 # Preprocessing time : 2.299 s
% 4.97/269.14 # Running protocol protocol_eprover_e96ef4641ae500918cdd95fcfce21e29f2ac5eec for 23 seconds:
% 4.97/269.14
% 4.97/269.14 # Failure: Resource limit exceeded (time)
% 4.97/269.14 # OLD status Res
% 4.97/269.14 # SinE strategy is GSinE(CountFormulas,,6.0,,03,100,1.0)
% 4.97/269.14 # Preprocessing time : 2.335 s
% 4.97/269.14 # Running protocol protocol_eprover_1f734394cb6ce69b36c9826f6782d3567d6ecd6c for 23 seconds:
% 4.97/269.14
% 4.97/269.14 # Failure: Resource limit exceeded (time)
% 4.97/269.14 # OLD status Res
% 4.97/269.14 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,02,20000,1.0)
% 4.97/269.14 # Preprocessing time : 2.376 s
% 4.97/269.14 # Running protocol protocol_eprover_e9eb28a402764e1f99b41605245cd0a359f475fb for 23 seconds:
% 4.97/269.14
% 4.97/269.14 # Failure: Resource limit exceeded (time)
% 4.97/269.14 # OLD status Res
% 4.97/269.14 # Preprocessing time : 16.598 s
% 4.97/269.14 # Running protocol protocol_eprover_3dd3316ad6e39f95bf120b2757347c6970e0a532 for 23 seconds:
% 4.97/269.14
% 4.97/269.14 # Failure: Resource limit exceeded (time)
% 4.97/269.14 # OLD status Res
% 4.97/269.14 # SinE strategy is GSinE(CountFormulas,,1.1,,01,500,1.0)
% 4.97/269.14 # Preprocessing time : 2.363 s
% 4.97/269.14 # Running protocol protocol_eprover_d8753ebeaa9aad70c7a4742461200d6169c65b7e for 23 seconds:
% 4.97/269.14 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,03,100,1.0)
% 4.97/269.14 # Preprocessing time : 2.336 s
% 4.97/269.14
% 4.97/269.14 # Proof found!
% 4.97/269.14 # SZS status Theorem
% 4.97/269.14 # SZS output start CNFRefutation
% See solution above
% 4.98/269.14 # Proof object total steps : 109
% 4.98/269.14 # Proof object clause steps : 72
% 4.98/269.14 # Proof object formula steps : 37
% 4.98/269.14 # Proof object conjectures : 55
% 4.98/269.14 # Proof object clause conjectures : 52
% 4.98/269.14 # Proof object formula conjectures : 3
% 4.98/269.14 # Proof object initial clauses used : 38
% 4.98/269.14 # Proof object initial formulas used : 18
% 4.98/269.14 # Proof object generating inferences : 32
% 4.98/269.14 # Proof object simplifying inferences : 200
% 4.98/269.14 # Training examples: 0 positive, 0 negative
% 4.98/269.14 # Parsed axioms : 55699
% 4.98/269.14 # Removed by relevancy pruning/SinE : 55598
% 4.98/269.14 # Initial clauses : 369
% 4.98/269.14 # Removed in clause preprocessing : 21
% 4.98/269.14 # Initial clauses in saturation : 348
% 4.98/269.14 # Processed clauses : 20632
% 4.98/269.14 # ...of these trivial : 1861
% 4.98/269.14 # ...subsumed : 2004
% 4.98/269.14 # ...remaining for further processing : 16767
% 4.98/269.14 # Other redundant clauses eliminated : 8
% 4.98/269.14 # Clauses deleted for lack of memory : 157556
% 4.98/269.14 # Backward-subsumed : 17
% 4.98/269.14 # Backward-rewritten : 660
% 4.98/269.14 # Generated clauses : 321395
% 4.98/269.14 # ...of the previous two non-trivial : 304698
% 4.98/269.14 # Contextual simplify-reflections : 0
% 4.98/269.14 # Paramodulations : 321331
% 4.98/269.14 # Factorizations : 0
% 4.98/269.14 # Equation resolutions : 66
% 4.98/269.14 # Current number of processed clauses : 16084
% 4.98/269.14 # Positive orientable unit clauses : 5440
% 4.98/269.14 # Positive unorientable unit clauses: 0
% 4.98/269.14 # Negative unit clauses : 73
% 4.98/269.14 # Non-unit-clauses : 10571
% 4.98/269.14 # Current number of unprocessed clauses: 103564
% 4.98/269.14 # ...number of literals in the above : 414252
% 4.98/269.14 # Current number of archived formulas : 0
% 4.98/269.14 # Current number of archived clauses : 677
% 4.98/269.14 # Clause-clause subsumption calls (NU) : 2076817
% 4.98/269.14 # Rec. Clause-clause subsumption calls : 250317
% 4.98/269.14 # Non-unit clause-clause subsumptions : 1832
% 4.98/269.14 # Unit Clause-clause subsumption calls : 1061244
% 4.98/269.14 # Rewrite failures with RHS unbound : 0
% 4.98/269.14 # BW rewrite match attempts : 347027
% 4.98/269.14 # BW rewrite match successes : 188
% 4.98/269.14 # Condensation attempts : 0
% 4.98/269.14 # Condensation successes : 0
% 4.98/269.14 # Termbank termtop insertions : 7852349
% 4.98/269.14
% 4.98/269.14 # -------------------------------------------------
% 4.98/269.14 # User time : 11.609 s
% 4.98/269.14 # System time : 0.259 s
% 4.98/269.14 # Total time : 11.868 s
% 4.98/269.14 # Maximum resident set size: 336364 pages
% 4.98/280.05 eprover: CPU time limit exceeded, terminating
% 4.98/280.05 eprover: CPU time limit exceeded, terminating
% 4.98/280.07 eprover: CPU time limit exceeded, terminating
%------------------------------------------------------------------------------