%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LAT380+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 : n031.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 04:38:25 PM UTC 2026
% Result : Theorem 6.15s 4.55s
% Output : CNFRefutation 6.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of formulae : 82 ( 32 unt; 0 def)
% Number of atoms : 1124 ( 0 equ)
% Maximal formula atoms : 190 ( 13 avg)
% Number of connectives : 1791 ( 749 ~; 744 |; 260 &)
% ( 4 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 9 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 30 ( 29 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-4 aty)
% Number of variables : 103 ( 0 sgn 60 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t71_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) )
=> ( v2_waybel_8(X2)
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v17_waybel_0(X3,X1,X2)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( v22_waybel_0(X3,X1,X2)
<=> ( v1_funct_1(k8_relset_1(u1_struct_0(X2),u1_struct_0(X1),k1_waybel34(X1,X2,X3),u1_struct_0(k1_waybel_8(X2))))
& v1_funct_2(k8_relset_1(u1_struct_0(X2),u1_struct_0(X1),k1_waybel34(X1,X2,X3),u1_struct_0(k1_waybel_8(X2))),u1_struct_0(k1_waybel_8(X2)),u1_struct_0(k1_waybel_8(X1)))
& v4_waybel34(k8_relset_1(u1_struct_0(X2),u1_struct_0(X1),k1_waybel34(X1,X2,X3),u1_struct_0(k1_waybel_8(X2))),k1_waybel_8(X2),k1_waybel_8(X1))
& m2_relset_1(k8_relset_1(u1_struct_0(X2),u1_struct_0(X1),k1_waybel34(X1,X2,X3),u1_struct_0(k1_waybel_8(X2))),u1_struct_0(k1_waybel_8(X2)),u1_struct_0(k1_waybel_8(X1))) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t71_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/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(fc1_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))
& v17_waybel_0(X3,X1,X2)
& m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( v1_relat_1(k1_waybel34(X1,X2,X3))
& v1_funct_1(k1_waybel34(X1,X2,X3))
& ~ v1_xboole_0(k1_waybel34(X1,X2,X3))
& v1_funct_2(k1_waybel34(X1,X2,X3),u1_struct_0(X2),u1_struct_0(X1))
& v1_partfun1(k1_waybel34(X1,X2,X3),u1_struct_0(X2),u1_struct_0(X1))
& v18_waybel_0(k1_waybel34(X1,X2,X3),X2,X1)
& v20_waybel_0(k1_waybel34(X1,X2,X3),X2,X1)
& v22_waybel_0(k1_waybel34(X1,X2,X3),X2,X1)
& v5_waybel_1(k1_waybel34(X1,X2,X3),X1,X2)
& v5_orders_3(k1_waybel34(X1,X2,X3),X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_waybel34) ).
fof(dt_k1_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(X1),u1_struct_0(X2))
& m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( v1_funct_1(k1_waybel34(X1,X2,X3))
& v1_funct_2(k1_waybel34(X1,X2,X3),u1_struct_0(X2),u1_struct_0(X1))
& m2_relset_1(k1_waybel34(X1,X2,X3),u1_struct_0(X2),u1_struct_0(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_waybel34) ).
fof(cc1_waybel_8,axiom,
! [X1] :
( l1_orders_2(X1)
=> ( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v2_waybel_8(X1) )
=> ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v2_yellow_0(X1)
& v24_waybel_0(X1)
& v2_waybel_3(X1)
& v3_waybel_3(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_waybel_8) ).
fof(t61_waybel34,axiom,
! [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(X2),u1_struct_0(X1))
& v18_waybel_0(X3,X2,X1)
& m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) )
=> ( ( v2_waybel_8(X2)
& v3_waybel34(X3,X2,X1) )
=> v1_waybel34(X3,X2,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t61_waybel34) ).
fof(t70_waybel34,axiom,
! [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(X2),u1_struct_0(X1))
& v18_waybel_0(X3,X2,X1)
& m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) )
=> ( v3_waybel34(X3,X2,X1)
<=> ( v1_funct_1(k8_relset_1(u1_struct_0(X2),u1_struct_0(X1),X3,u1_struct_0(k1_waybel_8(X2))))
& v1_funct_2(k8_relset_1(u1_struct_0(X2),u1_struct_0(X1),X3,u1_struct_0(k1_waybel_8(X2))),u1_struct_0(k1_waybel_8(X2)),u1_struct_0(k1_waybel_8(X1)))
& v4_waybel34(k8_relset_1(u1_struct_0(X2),u1_struct_0(X1),X3,u1_struct_0(k1_waybel_8(X2))),k1_waybel_8(X2),k1_waybel_8(X1))
& m2_relset_1(k8_relset_1(u1_struct_0(X2),u1_struct_0(X1),X3,u1_struct_0(k1_waybel_8(X2))),u1_struct_0(k1_waybel_8(X2)),u1_struct_0(k1_waybel_8(X1))) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t70_waybel34) ).
fof(t25_waybel34,axiom,
! [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)
& v3_waybel_3(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v17_waybel_0(X3,X1,X2)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( v1_waybel34(k1_waybel34(X1,X2,X3),X2,X1)
=> v22_waybel_0(X3,X1,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t25_waybel34) ).
fof(t60_waybel34,axiom,
! [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(X2),u1_struct_0(X1))
& v18_waybel_0(X3,X2,X1)
& m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) )
=> ( v1_waybel34(X3,X2,X1)
=> v3_waybel34(X3,X2,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t60_waybel34) ).
fof(t24_waybel34,axiom,
! [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))
& v17_waybel_0(X3,X1,X2)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( v22_waybel_0(X3,X1,X2)
=> v1_waybel34(k1_waybel34(X1,X2,X3),X2,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t24_waybel34) ).
fof(c_0_10,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) )
=> ( v2_waybel_8(X2)
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v17_waybel_0(X3,X1,X2)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( v22_waybel_0(X3,X1,X2)
<=> ( v1_funct_1(k8_relset_1(u1_struct_0(X2),u1_struct_0(X1),k1_waybel34(X1,X2,X3),u1_struct_0(k1_waybel_8(X2))))
& v1_funct_2(k8_relset_1(u1_struct_0(X2),u1_struct_0(X1),k1_waybel34(X1,X2,X3),u1_struct_0(k1_waybel_8(X2))),u1_struct_0(k1_waybel_8(X2)),u1_struct_0(k1_waybel_8(X1)))
& v4_waybel34(k8_relset_1(u1_struct_0(X2),u1_struct_0(X1),k1_waybel34(X1,X2,X3),u1_struct_0(k1_waybel_8(X2))),k1_waybel_8(X2),k1_waybel_8(X1))
& m2_relset_1(k8_relset_1(u1_struct_0(X2),u1_struct_0(X1),k1_waybel34(X1,X2,X3),u1_struct_0(k1_waybel_8(X2))),u1_struct_0(k1_waybel_8(X2)),u1_struct_0(k1_waybel_8(X1))) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[t71_waybel34]) ).
fof(c_0_11,plain,
! [X448,X449,X450] :
( ( ~ m2_relset_1(X450,X448,X449)
| m1_relset_1(X450,X448,X449) )
& ( ~ m1_relset_1(X450,X448,X449)
| m2_relset_1(X450,X448,X449) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).
fof(c_0_12,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)
& v2_waybel_8(esk2_0)
& v1_funct_1(esk3_0)
& v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
& v17_waybel_0(esk3_0,esk1_0,esk2_0)
& m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
& ( ~ v22_waybel_0(esk3_0,esk1_0,esk2_0)
| ~ v1_funct_1(k8_relset_1(u1_struct_0(esk2_0),u1_struct_0(esk1_0),k1_waybel34(esk1_0,esk2_0,esk3_0),u1_struct_0(k1_waybel_8(esk2_0))))
| ~ v1_funct_2(k8_relset_1(u1_struct_0(esk2_0),u1_struct_0(esk1_0),k1_waybel34(esk1_0,esk2_0,esk3_0),u1_struct_0(k1_waybel_8(esk2_0))),u1_struct_0(k1_waybel_8(esk2_0)),u1_struct_0(k1_waybel_8(esk1_0)))
| ~ v4_waybel34(k8_relset_1(u1_struct_0(esk2_0),u1_struct_0(esk1_0),k1_waybel34(esk1_0,esk2_0,esk3_0),u1_struct_0(k1_waybel_8(esk2_0))),k1_waybel_8(esk2_0),k1_waybel_8(esk1_0))
| ~ m2_relset_1(k8_relset_1(u1_struct_0(esk2_0),u1_struct_0(esk1_0),k1_waybel34(esk1_0,esk2_0,esk3_0),u1_struct_0(k1_waybel_8(esk2_0))),u1_struct_0(k1_waybel_8(esk2_0)),u1_struct_0(k1_waybel_8(esk1_0))) )
& ( v1_funct_1(k8_relset_1(u1_struct_0(esk2_0),u1_struct_0(esk1_0),k1_waybel34(esk1_0,esk2_0,esk3_0),u1_struct_0(k1_waybel_8(esk2_0))))
| v22_waybel_0(esk3_0,esk1_0,esk2_0) )
& ( v1_funct_2(k8_relset_1(u1_struct_0(esk2_0),u1_struct_0(esk1_0),k1_waybel34(esk1_0,esk2_0,esk3_0),u1_struct_0(k1_waybel_8(esk2_0))),u1_struct_0(k1_waybel_8(esk2_0)),u1_struct_0(k1_waybel_8(esk1_0)))
| v22_waybel_0(esk3_0,esk1_0,esk2_0) )
& ( v4_waybel34(k8_relset_1(u1_struct_0(esk2_0),u1_struct_0(esk1_0),k1_waybel34(esk1_0,esk2_0,esk3_0),u1_struct_0(k1_waybel_8(esk2_0))),k1_waybel_8(esk2_0),k1_waybel_8(esk1_0))
| v22_waybel_0(esk3_0,esk1_0,esk2_0) )
& ( m2_relset_1(k8_relset_1(u1_struct_0(esk2_0),u1_struct_0(esk1_0),k1_waybel34(esk1_0,esk2_0,esk3_0),u1_struct_0(k1_waybel_8(esk2_0))),u1_struct_0(k1_waybel_8(esk2_0)),u1_struct_0(k1_waybel_8(esk1_0)))
| v22_waybel_0(esk3_0,esk1_0,esk2_0) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])]) ).
fof(c_0_13,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))
& v17_waybel_0(X3,X1,X2)
& m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( v1_relat_1(k1_waybel34(X1,X2,X3))
& v1_funct_1(k1_waybel34(X1,X2,X3))
& ~ v1_xboole_0(k1_waybel34(X1,X2,X3))
& v1_funct_2(k1_waybel34(X1,X2,X3),u1_struct_0(X2),u1_struct_0(X1))
& v1_partfun1(k1_waybel34(X1,X2,X3),u1_struct_0(X2),u1_struct_0(X1))
& v18_waybel_0(k1_waybel34(X1,X2,X3),X2,X1)
& v20_waybel_0(k1_waybel34(X1,X2,X3),X2,X1)
& v22_waybel_0(k1_waybel34(X1,X2,X3),X2,X1)
& v5_waybel_1(k1_waybel34(X1,X2,X3),X1,X2)
& v5_orders_3(k1_waybel34(X1,X2,X3),X2,X1) ) ),
inference(fof_simplification,[status(thm)],[fc1_waybel34]) ).
fof(c_0_14,plain,
! [X346,X347,X348] :
( ( v1_funct_1(k1_waybel34(X346,X347,X348))
| ~ v2_orders_2(X346)
| ~ v3_orders_2(X346)
| ~ v4_orders_2(X346)
| ~ v1_lattice3(X346)
| ~ v2_lattice3(X346)
| ~ l1_orders_2(X346)
| ~ v2_orders_2(X347)
| ~ v3_orders_2(X347)
| ~ v4_orders_2(X347)
| ~ v1_lattice3(X347)
| ~ v2_lattice3(X347)
| ~ l1_orders_2(X347)
| ~ v1_funct_1(X348)
| ~ v1_funct_2(X348,u1_struct_0(X346),u1_struct_0(X347))
| ~ m1_relset_1(X348,u1_struct_0(X346),u1_struct_0(X347)) )
& ( v1_funct_2(k1_waybel34(X346,X347,X348),u1_struct_0(X347),u1_struct_0(X346))
| ~ v2_orders_2(X346)
| ~ v3_orders_2(X346)
| ~ v4_orders_2(X346)
| ~ v1_lattice3(X346)
| ~ v2_lattice3(X346)
| ~ l1_orders_2(X346)
| ~ v2_orders_2(X347)
| ~ v3_orders_2(X347)
| ~ v4_orders_2(X347)
| ~ v1_lattice3(X347)
| ~ v2_lattice3(X347)
| ~ l1_orders_2(X347)
| ~ v1_funct_1(X348)
| ~ v1_funct_2(X348,u1_struct_0(X346),u1_struct_0(X347))
| ~ m1_relset_1(X348,u1_struct_0(X346),u1_struct_0(X347)) )
& ( m2_relset_1(k1_waybel34(X346,X347,X348),u1_struct_0(X347),u1_struct_0(X346))
| ~ v2_orders_2(X346)
| ~ v3_orders_2(X346)
| ~ v4_orders_2(X346)
| ~ v1_lattice3(X346)
| ~ v2_lattice3(X346)
| ~ l1_orders_2(X346)
| ~ v2_orders_2(X347)
| ~ v3_orders_2(X347)
| ~ v4_orders_2(X347)
| ~ v1_lattice3(X347)
| ~ v2_lattice3(X347)
| ~ l1_orders_2(X347)
| ~ v1_funct_1(X348)
| ~ v1_funct_2(X348,u1_struct_0(X346),u1_struct_0(X347))
| ~ m1_relset_1(X348,u1_struct_0(X346),u1_struct_0(X347)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_waybel34])])]) ).
cnf(c_0_15,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,negated_conjecture,
m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_17,plain,
! [X382,X383,X384] :
( ( v1_relat_1(k1_waybel34(X382,X383,X384))
| ~ v2_orders_2(X382)
| ~ v3_orders_2(X382)
| ~ v4_orders_2(X382)
| ~ v1_lattice3(X382)
| ~ v2_lattice3(X382)
| ~ v3_lattice3(X382)
| ~ l1_orders_2(X382)
| ~ v2_orders_2(X383)
| ~ v3_orders_2(X383)
| ~ v4_orders_2(X383)
| ~ v1_lattice3(X383)
| ~ v2_lattice3(X383)
| ~ v3_lattice3(X383)
| ~ l1_orders_2(X383)
| ~ v1_funct_1(X384)
| ~ v1_funct_2(X384,u1_struct_0(X382),u1_struct_0(X383))
| ~ v17_waybel_0(X384,X382,X383)
| ~ m1_relset_1(X384,u1_struct_0(X382),u1_struct_0(X383)) )
& ( v1_funct_1(k1_waybel34(X382,X383,X384))
| ~ v2_orders_2(X382)
| ~ v3_orders_2(X382)
| ~ v4_orders_2(X382)
| ~ v1_lattice3(X382)
| ~ v2_lattice3(X382)
| ~ v3_lattice3(X382)
| ~ l1_orders_2(X382)
| ~ v2_orders_2(X383)
| ~ v3_orders_2(X383)
| ~ v4_orders_2(X383)
| ~ v1_lattice3(X383)
| ~ v2_lattice3(X383)
| ~ v3_lattice3(X383)
| ~ l1_orders_2(X383)
| ~ v1_funct_1(X384)
| ~ v1_funct_2(X384,u1_struct_0(X382),u1_struct_0(X383))
| ~ v17_waybel_0(X384,X382,X383)
| ~ m1_relset_1(X384,u1_struct_0(X382),u1_struct_0(X383)) )
& ( ~ v1_xboole_0(k1_waybel34(X382,X383,X384))
| ~ v2_orders_2(X382)
| ~ v3_orders_2(X382)
| ~ v4_orders_2(X382)
| ~ v1_lattice3(X382)
| ~ v2_lattice3(X382)
| ~ v3_lattice3(X382)
| ~ l1_orders_2(X382)
| ~ v2_orders_2(X383)
| ~ v3_orders_2(X383)
| ~ v4_orders_2(X383)
| ~ v1_lattice3(X383)
| ~ v2_lattice3(X383)
| ~ v3_lattice3(X383)
| ~ l1_orders_2(X383)
| ~ v1_funct_1(X384)
| ~ v1_funct_2(X384,u1_struct_0(X382),u1_struct_0(X383))
| ~ v17_waybel_0(X384,X382,X383)
| ~ m1_relset_1(X384,u1_struct_0(X382),u1_struct_0(X383)) )
& ( v1_funct_2(k1_waybel34(X382,X383,X384),u1_struct_0(X383),u1_struct_0(X382))
| ~ v2_orders_2(X382)
| ~ v3_orders_2(X382)
| ~ v4_orders_2(X382)
| ~ v1_lattice3(X382)
| ~ v2_lattice3(X382)
| ~ v3_lattice3(X382)
| ~ l1_orders_2(X382)
| ~ v2_orders_2(X383)
| ~ v3_orders_2(X383)
| ~ v4_orders_2(X383)
| ~ v1_lattice3(X383)
| ~ v2_lattice3(X383)
| ~ v3_lattice3(X383)
| ~ l1_orders_2(X383)
| ~ v1_funct_1(X384)
| ~ v1_funct_2(X384,u1_struct_0(X382),u1_struct_0(X383))
| ~ v17_waybel_0(X384,X382,X383)
| ~ m1_relset_1(X384,u1_struct_0(X382),u1_struct_0(X383)) )
& ( v1_partfun1(k1_waybel34(X382,X383,X384),u1_struct_0(X383),u1_struct_0(X382))
| ~ v2_orders_2(X382)
| ~ v3_orders_2(X382)
| ~ v4_orders_2(X382)
| ~ v1_lattice3(X382)
| ~ v2_lattice3(X382)
| ~ v3_lattice3(X382)
| ~ l1_orders_2(X382)
| ~ v2_orders_2(X383)
| ~ v3_orders_2(X383)
| ~ v4_orders_2(X383)
| ~ v1_lattice3(X383)
| ~ v2_lattice3(X383)
| ~ v3_lattice3(X383)
| ~ l1_orders_2(X383)
| ~ v1_funct_1(X384)
| ~ v1_funct_2(X384,u1_struct_0(X382),u1_struct_0(X383))
| ~ v17_waybel_0(X384,X382,X383)
| ~ m1_relset_1(X384,u1_struct_0(X382),u1_struct_0(X383)) )
& ( v18_waybel_0(k1_waybel34(X382,X383,X384),X383,X382)
| ~ v2_orders_2(X382)
| ~ v3_orders_2(X382)
| ~ v4_orders_2(X382)
| ~ v1_lattice3(X382)
| ~ v2_lattice3(X382)
| ~ v3_lattice3(X382)
| ~ l1_orders_2(X382)
| ~ v2_orders_2(X383)
| ~ v3_orders_2(X383)
| ~ v4_orders_2(X383)
| ~ v1_lattice3(X383)
| ~ v2_lattice3(X383)
| ~ v3_lattice3(X383)
| ~ l1_orders_2(X383)
| ~ v1_funct_1(X384)
| ~ v1_funct_2(X384,u1_struct_0(X382),u1_struct_0(X383))
| ~ v17_waybel_0(X384,X382,X383)
| ~ m1_relset_1(X384,u1_struct_0(X382),u1_struct_0(X383)) )
& ( v20_waybel_0(k1_waybel34(X382,X383,X384),X383,X382)
| ~ v2_orders_2(X382)
| ~ v3_orders_2(X382)
| ~ v4_orders_2(X382)
| ~ v1_lattice3(X382)
| ~ v2_lattice3(X382)
| ~ v3_lattice3(X382)
| ~ l1_orders_2(X382)
| ~ v2_orders_2(X383)
| ~ v3_orders_2(X383)
| ~ v4_orders_2(X383)
| ~ v1_lattice3(X383)
| ~ v2_lattice3(X383)
| ~ v3_lattice3(X383)
| ~ l1_orders_2(X383)
| ~ v1_funct_1(X384)
| ~ v1_funct_2(X384,u1_struct_0(X382),u1_struct_0(X383))
| ~ v17_waybel_0(X384,X382,X383)
| ~ m1_relset_1(X384,u1_struct_0(X382),u1_struct_0(X383)) )
& ( v22_waybel_0(k1_waybel34(X382,X383,X384),X383,X382)
| ~ v2_orders_2(X382)
| ~ v3_orders_2(X382)
| ~ v4_orders_2(X382)
| ~ v1_lattice3(X382)
| ~ v2_lattice3(X382)
| ~ v3_lattice3(X382)
| ~ l1_orders_2(X382)
| ~ v2_orders_2(X383)
| ~ v3_orders_2(X383)
| ~ v4_orders_2(X383)
| ~ v1_lattice3(X383)
| ~ v2_lattice3(X383)
| ~ v3_lattice3(X383)
| ~ l1_orders_2(X383)
| ~ v1_funct_1(X384)
| ~ v1_funct_2(X384,u1_struct_0(X382),u1_struct_0(X383))
| ~ v17_waybel_0(X384,X382,X383)
| ~ m1_relset_1(X384,u1_struct_0(X382),u1_struct_0(X383)) )
& ( v5_waybel_1(k1_waybel34(X382,X383,X384),X382,X383)
| ~ v2_orders_2(X382)
| ~ v3_orders_2(X382)
| ~ v4_orders_2(X382)
| ~ v1_lattice3(X382)
| ~ v2_lattice3(X382)
| ~ v3_lattice3(X382)
| ~ l1_orders_2(X382)
| ~ v2_orders_2(X383)
| ~ v3_orders_2(X383)
| ~ v4_orders_2(X383)
| ~ v1_lattice3(X383)
| ~ v2_lattice3(X383)
| ~ v3_lattice3(X383)
| ~ l1_orders_2(X383)
| ~ v1_funct_1(X384)
| ~ v1_funct_2(X384,u1_struct_0(X382),u1_struct_0(X383))
| ~ v17_waybel_0(X384,X382,X383)
| ~ m1_relset_1(X384,u1_struct_0(X382),u1_struct_0(X383)) )
& ( v5_orders_3(k1_waybel34(X382,X383,X384),X383,X382)
| ~ v2_orders_2(X382)
| ~ v3_orders_2(X382)
| ~ v4_orders_2(X382)
| ~ v1_lattice3(X382)
| ~ v2_lattice3(X382)
| ~ v3_lattice3(X382)
| ~ l1_orders_2(X382)
| ~ v2_orders_2(X383)
| ~ v3_orders_2(X383)
| ~ v4_orders_2(X383)
| ~ v1_lattice3(X383)
| ~ v2_lattice3(X383)
| ~ v3_lattice3(X383)
| ~ l1_orders_2(X383)
| ~ v1_funct_1(X384)
| ~ v1_funct_2(X384,u1_struct_0(X382),u1_struct_0(X383))
| ~ v17_waybel_0(X384,X382,X383)
| ~ m1_relset_1(X384,u1_struct_0(X382),u1_struct_0(X383)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])]) ).
fof(c_0_18,plain,
! [X1] :
( l1_orders_2(X1)
=> ( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v2_waybel_8(X1) )
=> ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v2_yellow_0(X1)
& v24_waybel_0(X1)
& v2_waybel_3(X1)
& v3_waybel_3(X1) ) ) ),
inference(fof_simplification,[status(thm)],[cc1_waybel_8]) ).
fof(c_0_19,plain,
! [X479,X480,X481] :
( ~ v2_orders_2(X479)
| ~ v3_orders_2(X479)
| ~ v4_orders_2(X479)
| ~ v1_lattice3(X479)
| ~ v2_lattice3(X479)
| ~ v3_lattice3(X479)
| ~ l1_orders_2(X479)
| ~ v2_orders_2(X480)
| ~ v3_orders_2(X480)
| ~ v4_orders_2(X480)
| ~ v1_lattice3(X480)
| ~ v2_lattice3(X480)
| ~ v3_lattice3(X480)
| ~ l1_orders_2(X480)
| ~ v1_funct_1(X481)
| ~ v1_funct_2(X481,u1_struct_0(X480),u1_struct_0(X479))
| ~ v18_waybel_0(X481,X480,X479)
| ~ m2_relset_1(X481,u1_struct_0(X480),u1_struct_0(X479))
| ~ v2_waybel_8(X480)
| ~ v3_waybel34(X481,X480,X479)
| v1_waybel34(X481,X480,X479) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t61_waybel34])])]) ).
cnf(c_0_20,plain,
( m2_relset_1(k1_waybel34(X1,X2,X3),u1_struct_0(X2),u1_struct_0(X1))
| ~ 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(X1),u1_struct_0(X2))
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_21,negated_conjecture,
m1_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_22,negated_conjecture,
v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_23,negated_conjecture,
v1_funct_1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_24,negated_conjecture,
l1_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_25,negated_conjecture,
l1_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_26,negated_conjecture,
v2_lattice3(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_27,negated_conjecture,
v2_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_28,negated_conjecture,
v1_lattice3(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_29,negated_conjecture,
v1_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_30,negated_conjecture,
v4_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_31,negated_conjecture,
v4_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_32,negated_conjecture,
v3_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_33,negated_conjecture,
v3_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_34,negated_conjecture,
v2_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_35,negated_conjecture,
v2_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_36,plain,
( v1_funct_2(k1_waybel34(X1,X2,X3),u1_struct_0(X2),u1_struct_0(X1))
| ~ 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(X1),u1_struct_0(X2))
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_37,plain,
( v1_funct_1(k1_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(X1),u1_struct_0(X2))
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_38,plain,
( v18_waybel_0(k1_waybel34(X1,X2,X3),X2,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)
| ~ 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))
| ~ v17_waybel_0(X3,X1,X2)
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_39,negated_conjecture,
v17_waybel_0(esk3_0,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_40,negated_conjecture,
v3_lattice3(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_41,negated_conjecture,
v3_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_42,plain,
! [X298] :
( ( ~ v3_struct_0(X298)
| ~ v2_orders_2(X298)
| ~ v3_orders_2(X298)
| ~ v4_orders_2(X298)
| ~ v1_lattice3(X298)
| ~ v2_lattice3(X298)
| ~ v2_waybel_8(X298)
| ~ l1_orders_2(X298) )
& ( v2_orders_2(X298)
| ~ v2_orders_2(X298)
| ~ v3_orders_2(X298)
| ~ v4_orders_2(X298)
| ~ v1_lattice3(X298)
| ~ v2_lattice3(X298)
| ~ v2_waybel_8(X298)
| ~ l1_orders_2(X298) )
& ( v3_orders_2(X298)
| ~ v2_orders_2(X298)
| ~ v3_orders_2(X298)
| ~ v4_orders_2(X298)
| ~ v1_lattice3(X298)
| ~ v2_lattice3(X298)
| ~ v2_waybel_8(X298)
| ~ l1_orders_2(X298) )
& ( v4_orders_2(X298)
| ~ v2_orders_2(X298)
| ~ v3_orders_2(X298)
| ~ v4_orders_2(X298)
| ~ v1_lattice3(X298)
| ~ v2_lattice3(X298)
| ~ v2_waybel_8(X298)
| ~ l1_orders_2(X298) )
& ( v1_lattice3(X298)
| ~ v2_orders_2(X298)
| ~ v3_orders_2(X298)
| ~ v4_orders_2(X298)
| ~ v1_lattice3(X298)
| ~ v2_lattice3(X298)
| ~ v2_waybel_8(X298)
| ~ l1_orders_2(X298) )
& ( v2_lattice3(X298)
| ~ v2_orders_2(X298)
| ~ v3_orders_2(X298)
| ~ v4_orders_2(X298)
| ~ v1_lattice3(X298)
| ~ v2_lattice3(X298)
| ~ v2_waybel_8(X298)
| ~ l1_orders_2(X298) )
& ( v2_yellow_0(X298)
| ~ v2_orders_2(X298)
| ~ v3_orders_2(X298)
| ~ v4_orders_2(X298)
| ~ v1_lattice3(X298)
| ~ v2_lattice3(X298)
| ~ v2_waybel_8(X298)
| ~ l1_orders_2(X298) )
& ( v24_waybel_0(X298)
| ~ v2_orders_2(X298)
| ~ v3_orders_2(X298)
| ~ v4_orders_2(X298)
| ~ v1_lattice3(X298)
| ~ v2_lattice3(X298)
| ~ v2_waybel_8(X298)
| ~ l1_orders_2(X298) )
& ( v2_waybel_3(X298)
| ~ v2_orders_2(X298)
| ~ v3_orders_2(X298)
| ~ v4_orders_2(X298)
| ~ v1_lattice3(X298)
| ~ v2_lattice3(X298)
| ~ v2_waybel_8(X298)
| ~ l1_orders_2(X298) )
& ( v3_waybel_3(X298)
| ~ v2_orders_2(X298)
| ~ v3_orders_2(X298)
| ~ v4_orders_2(X298)
| ~ v1_lattice3(X298)
| ~ v2_lattice3(X298)
| ~ v2_waybel_8(X298)
| ~ l1_orders_2(X298) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])]) ).
fof(c_0_43,plain,
! [X483,X484,X485] :
( ( v1_funct_1(k8_relset_1(u1_struct_0(X484),u1_struct_0(X483),X485,u1_struct_0(k1_waybel_8(X484))))
| ~ v3_waybel34(X485,X484,X483)
| ~ v1_funct_1(X485)
| ~ v1_funct_2(X485,u1_struct_0(X484),u1_struct_0(X483))
| ~ v18_waybel_0(X485,X484,X483)
| ~ m2_relset_1(X485,u1_struct_0(X484),u1_struct_0(X483))
| ~ v2_orders_2(X484)
| ~ v3_orders_2(X484)
| ~ v4_orders_2(X484)
| ~ v1_lattice3(X484)
| ~ v2_lattice3(X484)
| ~ v3_lattice3(X484)
| ~ l1_orders_2(X484)
| ~ v2_orders_2(X483)
| ~ v3_orders_2(X483)
| ~ v4_orders_2(X483)
| ~ v1_lattice3(X483)
| ~ v2_lattice3(X483)
| ~ v3_lattice3(X483)
| ~ l1_orders_2(X483) )
& ( v1_funct_2(k8_relset_1(u1_struct_0(X484),u1_struct_0(X483),X485,u1_struct_0(k1_waybel_8(X484))),u1_struct_0(k1_waybel_8(X484)),u1_struct_0(k1_waybel_8(X483)))
| ~ v3_waybel34(X485,X484,X483)
| ~ v1_funct_1(X485)
| ~ v1_funct_2(X485,u1_struct_0(X484),u1_struct_0(X483))
| ~ v18_waybel_0(X485,X484,X483)
| ~ m2_relset_1(X485,u1_struct_0(X484),u1_struct_0(X483))
| ~ v2_orders_2(X484)
| ~ v3_orders_2(X484)
| ~ v4_orders_2(X484)
| ~ v1_lattice3(X484)
| ~ v2_lattice3(X484)
| ~ v3_lattice3(X484)
| ~ l1_orders_2(X484)
| ~ v2_orders_2(X483)
| ~ v3_orders_2(X483)
| ~ v4_orders_2(X483)
| ~ v1_lattice3(X483)
| ~ v2_lattice3(X483)
| ~ v3_lattice3(X483)
| ~ l1_orders_2(X483) )
& ( v4_waybel34(k8_relset_1(u1_struct_0(X484),u1_struct_0(X483),X485,u1_struct_0(k1_waybel_8(X484))),k1_waybel_8(X484),k1_waybel_8(X483))
| ~ v3_waybel34(X485,X484,X483)
| ~ v1_funct_1(X485)
| ~ v1_funct_2(X485,u1_struct_0(X484),u1_struct_0(X483))
| ~ v18_waybel_0(X485,X484,X483)
| ~ m2_relset_1(X485,u1_struct_0(X484),u1_struct_0(X483))
| ~ v2_orders_2(X484)
| ~ v3_orders_2(X484)
| ~ v4_orders_2(X484)
| ~ v1_lattice3(X484)
| ~ v2_lattice3(X484)
| ~ v3_lattice3(X484)
| ~ l1_orders_2(X484)
| ~ v2_orders_2(X483)
| ~ v3_orders_2(X483)
| ~ v4_orders_2(X483)
| ~ v1_lattice3(X483)
| ~ v2_lattice3(X483)
| ~ v3_lattice3(X483)
| ~ l1_orders_2(X483) )
& ( m2_relset_1(k8_relset_1(u1_struct_0(X484),u1_struct_0(X483),X485,u1_struct_0(k1_waybel_8(X484))),u1_struct_0(k1_waybel_8(X484)),u1_struct_0(k1_waybel_8(X483)))
| ~ v3_waybel34(X485,X484,X483)
| ~ v1_funct_1(X485)
| ~ v1_funct_2(X485,u1_struct_0(X484),u1_struct_0(X483))
| ~ v18_waybel_0(X485,X484,X483)
| ~ m2_relset_1(X485,u1_struct_0(X484),u1_struct_0(X483))
| ~ v2_orders_2(X484)
| ~ v3_orders_2(X484)
| ~ v4_orders_2(X484)
| ~ v1_lattice3(X484)
| ~ v2_lattice3(X484)
| ~ v3_lattice3(X484)
| ~ l1_orders_2(X484)
| ~ v2_orders_2(X483)
| ~ v3_orders_2(X483)
| ~ v4_orders_2(X483)
| ~ v1_lattice3(X483)
| ~ v2_lattice3(X483)
| ~ v3_lattice3(X483)
| ~ l1_orders_2(X483) )
& ( ~ v1_funct_1(k8_relset_1(u1_struct_0(X484),u1_struct_0(X483),X485,u1_struct_0(k1_waybel_8(X484))))
| ~ v1_funct_2(k8_relset_1(u1_struct_0(X484),u1_struct_0(X483),X485,u1_struct_0(k1_waybel_8(X484))),u1_struct_0(k1_waybel_8(X484)),u1_struct_0(k1_waybel_8(X483)))
| ~ v4_waybel34(k8_relset_1(u1_struct_0(X484),u1_struct_0(X483),X485,u1_struct_0(k1_waybel_8(X484))),k1_waybel_8(X484),k1_waybel_8(X483))
| ~ m2_relset_1(k8_relset_1(u1_struct_0(X484),u1_struct_0(X483),X485,u1_struct_0(k1_waybel_8(X484))),u1_struct_0(k1_waybel_8(X484)),u1_struct_0(k1_waybel_8(X483)))
| v3_waybel34(X485,X484,X483)
| ~ v1_funct_1(X485)
| ~ v1_funct_2(X485,u1_struct_0(X484),u1_struct_0(X483))
| ~ v18_waybel_0(X485,X484,X483)
| ~ m2_relset_1(X485,u1_struct_0(X484),u1_struct_0(X483))
| ~ v2_orders_2(X484)
| ~ v3_orders_2(X484)
| ~ v4_orders_2(X484)
| ~ v1_lattice3(X484)
| ~ v2_lattice3(X484)
| ~ v3_lattice3(X484)
| ~ l1_orders_2(X484)
| ~ v2_orders_2(X483)
| ~ v3_orders_2(X483)
| ~ v4_orders_2(X483)
| ~ v1_lattice3(X483)
| ~ v2_lattice3(X483)
| ~ v3_lattice3(X483)
| ~ l1_orders_2(X483) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t70_waybel34])])])]) ).
fof(c_0_44,plain,
! [X463,X464,X465] :
( ~ v2_orders_2(X463)
| ~ v3_orders_2(X463)
| ~ v4_orders_2(X463)
| ~ v1_lattice3(X463)
| ~ v2_lattice3(X463)
| ~ v3_lattice3(X463)
| ~ l1_orders_2(X463)
| ~ v2_orders_2(X464)
| ~ v3_orders_2(X464)
| ~ v4_orders_2(X464)
| ~ v1_lattice3(X464)
| ~ v2_lattice3(X464)
| ~ v3_lattice3(X464)
| ~ v3_waybel_3(X464)
| ~ l1_orders_2(X464)
| ~ v1_funct_1(X465)
| ~ v1_funct_2(X465,u1_struct_0(X463),u1_struct_0(X464))
| ~ v17_waybel_0(X465,X463,X464)
| ~ m2_relset_1(X465,u1_struct_0(X463),u1_struct_0(X464))
| ~ v1_waybel34(k1_waybel34(X463,X464,X465),X464,X463)
| v22_waybel_0(X465,X463,X464) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t25_waybel34])])]) ).
cnf(c_0_45,plain,
( v1_waybel34(X3,X2,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)
| ~ 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)
| ~ m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ v2_waybel_8(X2)
| ~ v3_waybel34(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_46,negated_conjecture,
m2_relset_1(k1_waybel34(esk1_0,esk2_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_20,c_0_21]),c_0_22]),c_0_23]),c_0_24]),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])]) ).
cnf(c_0_47,negated_conjecture,
v1_funct_2(k1_waybel34(esk1_0,esk2_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_36,c_0_21]),c_0_22]),c_0_23]),c_0_24]),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])]) ).
cnf(c_0_48,negated_conjecture,
v1_funct_1(k1_waybel34(esk1_0,esk2_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_37,c_0_21]),c_0_22]),c_0_23]),c_0_24]),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])]) ).
cnf(c_0_49,negated_conjecture,
v2_waybel_8(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_50,negated_conjecture,
v18_waybel_0(k1_waybel34(esk1_0,esk2_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_38,c_0_21]),c_0_39]),c_0_22]),c_0_23]),c_0_24]),c_0_25]),c_0_40]),c_0_41]),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])]) ).
cnf(c_0_51,plain,
( v3_waybel_3(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v2_waybel_8(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_52,plain,
( v1_funct_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(X2),X3,u1_struct_0(k1_waybel_8(X1))))
| ~ v3_waybel34(X3,X1,X2)
| ~ 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))
| ~ 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) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_53,plain,
( v22_waybel_0(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)
| ~ v3_waybel_3(X2)
| ~ l1_orders_2(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v17_waybel_0(X3,X1,X2)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_waybel34(k1_waybel34(X1,X2,X3),X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_54,negated_conjecture,
( v1_waybel34(k1_waybel34(esk1_0,esk2_0,esk3_0),esk2_0,esk1_0)
| ~ v3_waybel34(k1_waybel34(esk1_0,esk2_0,esk3_0),esk2_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_24]),c_0_25]),c_0_40]),c_0_41]),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_50])]) ).
cnf(c_0_55,negated_conjecture,
v3_waybel_3(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_51,c_0_24]),c_0_49]),c_0_26]),c_0_28]),c_0_30]),c_0_32]),c_0_34])]) ).
cnf(c_0_56,negated_conjecture,
( ~ v22_waybel_0(esk3_0,esk1_0,esk2_0)
| ~ v1_funct_1(k8_relset_1(u1_struct_0(esk2_0),u1_struct_0(esk1_0),k1_waybel34(esk1_0,esk2_0,esk3_0),u1_struct_0(k1_waybel_8(esk2_0))))
| ~ v1_funct_2(k8_relset_1(u1_struct_0(esk2_0),u1_struct_0(esk1_0),k1_waybel34(esk1_0,esk2_0,esk3_0),u1_struct_0(k1_waybel_8(esk2_0))),u1_struct_0(k1_waybel_8(esk2_0)),u1_struct_0(k1_waybel_8(esk1_0)))
| ~ v4_waybel34(k8_relset_1(u1_struct_0(esk2_0),u1_struct_0(esk1_0),k1_waybel34(esk1_0,esk2_0,esk3_0),u1_struct_0(k1_waybel_8(esk2_0))),k1_waybel_8(esk2_0),k1_waybel_8(esk1_0))
| ~ m2_relset_1(k8_relset_1(u1_struct_0(esk2_0),u1_struct_0(esk1_0),k1_waybel34(esk1_0,esk2_0,esk3_0),u1_struct_0(k1_waybel_8(esk2_0))),u1_struct_0(k1_waybel_8(esk2_0)),u1_struct_0(k1_waybel_8(esk1_0))) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_57,plain,
( v4_waybel34(k8_relset_1(u1_struct_0(X1),u1_struct_0(X2),X3,u1_struct_0(k1_waybel_8(X1))),k1_waybel_8(X1),k1_waybel_8(X2))
| ~ v3_waybel34(X3,X1,X2)
| ~ 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))
| ~ 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) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_58,negated_conjecture,
( v1_funct_1(k8_relset_1(u1_struct_0(esk2_0),u1_struct_0(esk1_0),k1_waybel34(esk1_0,esk2_0,esk3_0),u1_struct_0(k1_waybel_8(esk2_0))))
| ~ v3_waybel34(k1_waybel34(esk1_0,esk2_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_52,c_0_46]),c_0_50]),c_0_47]),c_0_48]),c_0_25]),c_0_24]),c_0_41]),c_0_40]),c_0_27]),c_0_26]),c_0_29]),c_0_28]),c_0_31]),c_0_30]),c_0_33]),c_0_32]),c_0_35]),c_0_34])]) ).
cnf(c_0_59,negated_conjecture,
( v22_waybel_0(esk3_0,esk1_0,esk2_0)
| ~ v3_waybel34(k1_waybel34(esk1_0,esk2_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(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55]),c_0_16]),c_0_39]),c_0_22]),c_0_23]),c_0_24]),c_0_25]),c_0_40]),c_0_41]),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])]) ).
fof(c_0_60,plain,
! [X476,X477,X478] :
( ~ v2_orders_2(X476)
| ~ v3_orders_2(X476)
| ~ v4_orders_2(X476)
| ~ v1_lattice3(X476)
| ~ v2_lattice3(X476)
| ~ v3_lattice3(X476)
| ~ l1_orders_2(X476)
| ~ v2_orders_2(X477)
| ~ v3_orders_2(X477)
| ~ v4_orders_2(X477)
| ~ v1_lattice3(X477)
| ~ v2_lattice3(X477)
| ~ v3_lattice3(X477)
| ~ l1_orders_2(X477)
| ~ v1_funct_1(X478)
| ~ v1_funct_2(X478,u1_struct_0(X477),u1_struct_0(X476))
| ~ v18_waybel_0(X478,X477,X476)
| ~ m2_relset_1(X478,u1_struct_0(X477),u1_struct_0(X476))
| ~ v1_waybel34(X478,X477,X476)
| v3_waybel34(X478,X477,X476) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t60_waybel34])])]) ).
cnf(c_0_61,negated_conjecture,
( ~ v3_waybel34(k1_waybel34(esk1_0,esk2_0,esk3_0),esk2_0,esk1_0)
| ~ m2_relset_1(k8_relset_1(u1_struct_0(esk2_0),u1_struct_0(esk1_0),k1_waybel34(esk1_0,esk2_0,esk3_0),u1_struct_0(k1_waybel_8(esk2_0))),u1_struct_0(k1_waybel_8(esk2_0)),u1_struct_0(k1_waybel_8(esk1_0)))
| ~ v1_funct_2(k8_relset_1(u1_struct_0(esk2_0),u1_struct_0(esk1_0),k1_waybel34(esk1_0,esk2_0,esk3_0),u1_struct_0(k1_waybel_8(esk2_0))),u1_struct_0(k1_waybel_8(esk2_0)),u1_struct_0(k1_waybel_8(esk1_0))) ),
inference(csr,[status(thm)],[inference(csr,[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(spm,[status(thm)],[c_0_56,c_0_57]),c_0_50]),c_0_46]),c_0_47]),c_0_48]),c_0_25]),c_0_24]),c_0_41]),c_0_40]),c_0_27]),c_0_26]),c_0_29]),c_0_28]),c_0_31]),c_0_30]),c_0_33]),c_0_32]),c_0_35]),c_0_34])]),c_0_58]),c_0_59]) ).
cnf(c_0_62,plain,
( m2_relset_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(X2),X3,u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(X2)))
| ~ v3_waybel34(X3,X1,X2)
| ~ 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))
| ~ 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) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_63,plain,
( v3_waybel34(X3,X2,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)
| ~ 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)
| ~ m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_waybel34(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
fof(c_0_64,plain,
! [X460,X461,X462] :
( ~ v2_orders_2(X460)
| ~ v3_orders_2(X460)
| ~ v4_orders_2(X460)
| ~ v1_lattice3(X460)
| ~ v2_lattice3(X460)
| ~ v3_lattice3(X460)
| ~ l1_orders_2(X460)
| ~ v2_orders_2(X461)
| ~ v3_orders_2(X461)
| ~ v4_orders_2(X461)
| ~ v1_lattice3(X461)
| ~ v2_lattice3(X461)
| ~ v3_lattice3(X461)
| ~ l1_orders_2(X461)
| ~ v1_funct_1(X462)
| ~ v1_funct_2(X462,u1_struct_0(X460),u1_struct_0(X461))
| ~ v17_waybel_0(X462,X460,X461)
| ~ m2_relset_1(X462,u1_struct_0(X460),u1_struct_0(X461))
| ~ v22_waybel_0(X462,X460,X461)
| v1_waybel34(k1_waybel34(X460,X461,X462),X461,X460) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t24_waybel34])])]) ).
cnf(c_0_65,negated_conjecture,
( ~ v3_waybel34(k1_waybel34(esk1_0,esk2_0,esk3_0),esk2_0,esk1_0)
| ~ v1_funct_2(k8_relset_1(u1_struct_0(esk2_0),u1_struct_0(esk1_0),k1_waybel34(esk1_0,esk2_0,esk3_0),u1_struct_0(k1_waybel_8(esk2_0))),u1_struct_0(k1_waybel_8(esk2_0)),u1_struct_0(k1_waybel_8(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(spm,[status(thm)],[c_0_61,c_0_62]),c_0_50]),c_0_46]),c_0_47]),c_0_48]),c_0_25]),c_0_24]),c_0_41]),c_0_40]),c_0_27]),c_0_26]),c_0_29]),c_0_28]),c_0_31]),c_0_30]),c_0_33]),c_0_32]),c_0_35]),c_0_34])]) ).
cnf(c_0_66,plain,
( v1_funct_2(k8_relset_1(u1_struct_0(X1),u1_struct_0(X2),X3,u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(X2)))
| ~ v3_waybel34(X3,X1,X2)
| ~ 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))
| ~ 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) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_67,negated_conjecture,
( v3_waybel34(k1_waybel34(esk1_0,esk2_0,esk3_0),esk2_0,esk1_0)
| ~ v1_waybel34(k1_waybel34(esk1_0,esk2_0,esk3_0),esk2_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_46]),c_0_47]),c_0_48]),c_0_24]),c_0_25]),c_0_40]),c_0_41]),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_50])]) ).
cnf(c_0_68,plain,
( v1_waybel34(k1_waybel34(X1,X2,X3),X2,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)
| ~ 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))
| ~ v17_waybel_0(X3,X1,X2)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v22_waybel_0(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_69,negated_conjecture,
~ v3_waybel34(k1_waybel34(esk1_0,esk2_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(spm,[status(thm)],[c_0_65,c_0_66]),c_0_50]),c_0_46]),c_0_47]),c_0_48]),c_0_25]),c_0_24]),c_0_41]),c_0_40]),c_0_27]),c_0_26]),c_0_29]),c_0_28]),c_0_31]),c_0_30]),c_0_33]),c_0_32]),c_0_35]),c_0_34])]) ).
cnf(c_0_70,negated_conjecture,
( v3_waybel34(k1_waybel34(esk1_0,esk2_0,esk3_0),esk2_0,esk1_0)
| ~ v22_waybel_0(esk3_0,esk1_0,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_67,c_0_68]),c_0_16]),c_0_39]),c_0_22]),c_0_23]),c_0_24]),c_0_25]),c_0_40]),c_0_41]),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])]) ).
cnf(c_0_71,negated_conjecture,
( v4_waybel34(k8_relset_1(u1_struct_0(esk2_0),u1_struct_0(esk1_0),k1_waybel34(esk1_0,esk2_0,esk3_0),u1_struct_0(k1_waybel_8(esk2_0))),k1_waybel_8(esk2_0),k1_waybel_8(esk1_0))
| v22_waybel_0(esk3_0,esk1_0,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_72,negated_conjecture,
~ v22_waybel_0(esk3_0,esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_73,negated_conjecture,
( v1_funct_1(k8_relset_1(u1_struct_0(esk2_0),u1_struct_0(esk1_0),k1_waybel34(esk1_0,esk2_0,esk3_0),u1_struct_0(k1_waybel_8(esk2_0))))
| v22_waybel_0(esk3_0,esk1_0,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_74,negated_conjecture,
( m2_relset_1(k8_relset_1(u1_struct_0(esk2_0),u1_struct_0(esk1_0),k1_waybel34(esk1_0,esk2_0,esk3_0),u1_struct_0(k1_waybel_8(esk2_0))),u1_struct_0(k1_waybel_8(esk2_0)),u1_struct_0(k1_waybel_8(esk1_0)))
| v22_waybel_0(esk3_0,esk1_0,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_75,negated_conjecture,
( v1_funct_2(k8_relset_1(u1_struct_0(esk2_0),u1_struct_0(esk1_0),k1_waybel34(esk1_0,esk2_0,esk3_0),u1_struct_0(k1_waybel_8(esk2_0))),u1_struct_0(k1_waybel_8(esk2_0)),u1_struct_0(k1_waybel_8(esk1_0)))
| v22_waybel_0(esk3_0,esk1_0,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_76,plain,
( v3_waybel34(X3,X1,X2)
| ~ v1_funct_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(X2),X3,u1_struct_0(k1_waybel_8(X1))))
| ~ v1_funct_2(k8_relset_1(u1_struct_0(X1),u1_struct_0(X2),X3,u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(X2)))
| ~ v4_waybel34(k8_relset_1(u1_struct_0(X1),u1_struct_0(X2),X3,u1_struct_0(k1_waybel_8(X1))),k1_waybel_8(X1),k1_waybel_8(X2))
| ~ m2_relset_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(X2),X3,u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(X2)))
| ~ 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))
| ~ 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) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_77,negated_conjecture,
v4_waybel34(k8_relset_1(u1_struct_0(esk2_0),u1_struct_0(esk1_0),k1_waybel34(esk1_0,esk2_0,esk3_0),u1_struct_0(k1_waybel_8(esk2_0))),k1_waybel_8(esk2_0),k1_waybel_8(esk1_0)),
inference(sr,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_78,negated_conjecture,
v1_funct_1(k8_relset_1(u1_struct_0(esk2_0),u1_struct_0(esk1_0),k1_waybel34(esk1_0,esk2_0,esk3_0),u1_struct_0(k1_waybel_8(esk2_0)))),
inference(sr,[status(thm)],[c_0_73,c_0_72]) ).
cnf(c_0_79,negated_conjecture,
m2_relset_1(k8_relset_1(u1_struct_0(esk2_0),u1_struct_0(esk1_0),k1_waybel34(esk1_0,esk2_0,esk3_0),u1_struct_0(k1_waybel_8(esk2_0))),u1_struct_0(k1_waybel_8(esk2_0)),u1_struct_0(k1_waybel_8(esk1_0))),
inference(sr,[status(thm)],[c_0_74,c_0_72]) ).
cnf(c_0_80,negated_conjecture,
v1_funct_2(k8_relset_1(u1_struct_0(esk2_0),u1_struct_0(esk1_0),k1_waybel34(esk1_0,esk2_0,esk3_0),u1_struct_0(k1_waybel_8(esk2_0))),u1_struct_0(k1_waybel_8(esk2_0)),u1_struct_0(k1_waybel_8(esk1_0))),
inference(sr,[status(thm)],[c_0_75,c_0_72]) ).
cnf(c_0_81,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_50]),c_0_46]),c_0_47]),c_0_78]),c_0_48]),c_0_25]),c_0_24]),c_0_41]),c_0_40]),c_0_27]),c_0_26]),c_0_29]),c_0_28]),c_0_31]),c_0_30]),c_0_33]),c_0_32]),c_0_35]),c_0_34])]),c_0_69]),c_0_79]),c_0_80])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT380+1 : TPTP v9.2.1. Released v3.4.0.
% 0.00/0.12 % 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
% 0.17/0.33 % Computer : n031.cluster.edu
% 0.17/0.33 % Model : x86_64 x86_64
% 0.17/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.33 % Memory : 8042.1875MB
% 0.17/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.33 % CPULimit : 300
% 0.17/0.33 % WCLimit : 300
% 0.17/0.33 % DateTime : Mon May 4 21:50:38 EDT 2026
% 0.17/0.34 % CPUTime :
% 0.17/0.35 % start to proof: theBenchmark
% 6.15/4.55 % Version : CSE_E---1.7
% 6.15/4.55 % Problem : theBenchmark.p
% 6.15/4.55 % SZS status Theorem for theBenchmark.p
% 6.15/4.55 % SZS output start CNFRefutation
% See solution above
% 6.15/4.56 % Total time : 3.425s
%------------------------------------------------------------------------------