%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LAT350+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:05:03 PM UTC 2026
% Result : Theorem 79.22s 12.12s
% Output : CNFRefutation 79.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 28
% Syntax : Number of formulae : 153 ( 47 unt; 0 def)
% Number of atoms : 1064 ( 67 equ)
% Maximal formula atoms : 82 ( 6 avg)
% Number of connectives : 1453 ( 542 ~; 554 |; 288 &)
% ( 13 <=>; 56 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 6 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 34 ( 32 usr; 1 prp; 0-3 aty)
% Number of functors : 29 ( 29 usr; 4 con; 0-5 aty)
% Number of variables : 285 ( 17 sgn 165 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t13_waybel22,conjecture,
! [X1,X2] :
( ( l1_orders_2(X2)
& v3_waybel_3(X2)
& v3_lattice3(X2)
& v4_orders_2(X2)
& v3_orders_2(X2)
& v2_orders_2(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,k1_waybel22(X1),u1_struct_0(X2))
& v1_funct_2(X3,k1_waybel22(X1),u1_struct_0(X2))
& v1_funct_1(X3) )
=> k1_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))),X2,k2_waybel22(X1,X2,X3),k4_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))) = k4_yellow_0(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_waybel22) ).
fof(d3_waybel22,axiom,
! [X1,X2] :
( ( l1_orders_2(X2)
& v3_waybel_3(X2)
& v3_lattice3(X2)
& v4_orders_2(X2)
& v3_orders_2(X2)
& v2_orders_2(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,k1_waybel22(X1),u1_struct_0(X2))
& v1_funct_2(X3,k1_waybel22(X1),u1_struct_0(X2))
& v1_funct_1(X3) )
=> ! [X4] :
( ( m2_relset_1(X4,u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1)))),u1_struct_0(X2))
& v1_funct_2(X4,u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1)))),u1_struct_0(X2))
& v1_funct_1(X4) )
=> ( X4 = k2_waybel22(X1,X2,X3)
<=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1)))))
=> k1_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))),X2,X4,X5) = k1_yellow_0(X2,a_4_0_waybel22(X1,X2,X3,X5)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_waybel22) ).
fof(dt_k2_waybel22,axiom,
! [X1,X2,X3] :
( ( m1_relset_1(X3,k1_waybel22(X1),u1_struct_0(X2))
& v1_funct_2(X3,k1_waybel22(X1),u1_struct_0(X2))
& v1_funct_1(X3)
& l1_orders_2(X2)
& v3_waybel_3(X2)
& v3_lattice3(X2)
& v4_orders_2(X2)
& v3_orders_2(X2)
& v2_orders_2(X2)
& ~ v3_struct_0(X2) )
=> ( m2_relset_1(k2_waybel22(X1,X2,X3),u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1)))),u1_struct_0(X2))
& v1_funct_2(k2_waybel22(X1,X2,X3),u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1)))),u1_struct_0(X2))
& v1_funct_1(k2_waybel22(X1,X2,X3)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_waybel22) ).
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/theBenchmark.p',redefinition_m2_relset_1) ).
fof(fraenkel_a_4_0_waybel22,axiom,
! [X1,X2,X3,X4,X5] :
( ( m1_subset_1(X5,u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2)))))
& m2_relset_1(X4,k1_waybel22(X2),u1_struct_0(X3))
& v1_funct_2(X4,k1_waybel22(X2),u1_struct_0(X3))
& v1_funct_1(X4)
& l1_orders_2(X3)
& v3_waybel_3(X3)
& v3_lattice3(X3)
& v4_orders_2(X3)
& v3_orders_2(X3)
& v2_orders_2(X3)
& ~ v3_struct_0(X3) )
=> ( r2_hidden(X1,a_4_0_waybel22(X2,X3,X4,X5))
<=> ? [X6] :
( r2_hidden(X6,X5)
& X1 = k2_yellow_0(X3,a_4_1_waybel22(X2,X3,X4,X6))
& m1_subset_1(X6,k1_zfmisc_1(X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fraenkel_a_4_0_waybel22) ).
fof(fraenkel_a_4_1_waybel22,axiom,
! [X1,X2,X3,X4,X5] :
( ( m1_subset_1(X5,k1_zfmisc_1(X2))
& m2_relset_1(X4,k1_waybel22(X2),u1_struct_0(X3))
& v1_funct_2(X4,k1_waybel22(X2),u1_struct_0(X3))
& v1_funct_1(X4)
& l1_orders_2(X3)
& v3_waybel_3(X3)
& v3_lattice3(X3)
& v4_orders_2(X3)
& v3_orders_2(X3)
& v2_orders_2(X3)
& ~ v3_struct_0(X3) )
=> ( r2_hidden(X1,a_4_1_waybel22(X2,X3,X4,X5))
<=> ? [X6] :
( ? [X7] :
( r2_hidden(X7,X5)
& X6 = k1_tarski(X7)
& m1_subset_1(X7,X2) )
& X1 = k1_funct_1(X4,k7_waybel_0(k3_yellow_1(X2),X6))
& m1_subset_1(X6,u1_struct_0(k3_yellow_1(X2))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fraenkel_a_4_1_waybel22) ).
fof(dt_k1_waybel_0,axiom,
! [X1,X2,X3,X4] :
( ( m1_subset_1(X4,u1_struct_0(X1))
& 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_struct_0(X2)
& ~ v3_struct_0(X2)
& l1_struct_0(X1)
& ~ v3_struct_0(X1) )
=> m1_subset_1(k1_waybel_0(X1,X2,X3,X4),u1_struct_0(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_waybel_0) ).
fof(t15_waybel16,axiom,
! [X1] : k4_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1)))) = k1_zfmisc_1(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t15_waybel16) ).
fof(rc2_subset_1,axiom,
! [X1] :
? [X2] :
( v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_subset_1) ).
fof(t6_boole,axiom,
! [X1] :
( v1_xboole_0(X1)
=> X1 = k1_xboole_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
fof(d1_xboole_0,axiom,
! [X1] :
( X1 = k1_xboole_0
<=> ! [X2] : ~ r2_hidden(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_xboole_0) ).
fof(dt_k4_yellow_0,axiom,
! [X1] :
( l1_orders_2(X1)
=> m1_subset_1(k4_yellow_0(X1),u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_yellow_0) ).
fof(dt_l1_orders_2,axiom,
! [X1] :
( l1_orders_2(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_orders_2) ).
fof(dt_k2_yellow_1,axiom,
! [X1] :
( l1_orders_2(k2_yellow_1(X1))
& v1_orders_2(k2_yellow_1(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_yellow_1) ).
fof(cc3_yellow_0,axiom,
! [X1] :
( l1_orders_2(X1)
=> ( ( v3_lattice3(X1)
& ~ v3_struct_0(X1) )
=> ( v3_yellow_0(X1)
& ~ v3_struct_0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc3_yellow_0) ).
fof(fc1_subset_1,axiom,
! [X1] : ~ v1_xboole_0(k1_zfmisc_1(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_subset_1) ).
fof(cc4_yellow_0,axiom,
! [X1] :
( l1_orders_2(X1)
=> ( v3_yellow_0(X1)
=> ( v2_yellow_0(X1)
& v1_yellow_0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc4_yellow_0) ).
fof(t2_tarski,axiom,
! [X1,X2] :
( ! [X3] :
( r2_hidden(X3,X1)
<=> r2_hidden(X3,X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_tarski) ).
fof(t5_waybel15,axiom,
! [X1] :
( ( l1_orders_2(X1)
& v2_yellow_0(X1)
& v4_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ( r1_orders_2(X1,k4_yellow_0(X1),X2)
=> X2 = k4_yellow_0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_waybel15) ).
fof(t1_subset,axiom,
! [X1,X2] :
( r2_hidden(X1,X2)
=> m1_subset_1(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(t2_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,X2)
=> ( r2_hidden(X1,X2)
| v1_xboole_0(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(d9_lattice3,axiom,
! [X1] :
( l1_orders_2(X1)
=> ! [X2,X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r2_lattice3(X1,X2,X3)
<=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( r2_hidden(X4,X2)
=> r1_orders_2(X1,X4,X3) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9_lattice3) ).
fof(d12_yellow_0,axiom,
! [X1] :
( l1_orders_2(X1)
=> k4_yellow_0(X1) = k2_yellow_0(X1,k1_xboole_0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d12_yellow_0) ).
fof(t32_yellow_0,axiom,
! [X1] :
( ( l1_orders_2(X1)
& v3_lattice3(X1)
& v4_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( X2 = k1_yellow_0(X1,X3)
<=> ( ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( r2_lattice3(X1,X3,X4)
=> r1_orders_2(X1,X2,X4) ) )
& r2_lattice3(X1,X3,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t32_yellow_0) ).
fof(dt_k1_yellow_0,axiom,
! [X1,X2] :
( l1_orders_2(X1)
=> m1_subset_1(k1_yellow_0(X1,X2),u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_yellow_0) ).
fof(fc2_waybel16,axiom,
! [X1] :
( ( l1_orders_2(X1)
& v2_yellow_0(X1)
& v2_lattice3(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1) )
=> ( v25_waybel_0(k2_yellow_1(k9_waybel_0(X1)))
& v24_waybel_0(k2_yellow_1(k9_waybel_0(X1)))
& v1_yellow_0(k2_yellow_1(k9_waybel_0(X1)))
& v3_lattice3(k2_yellow_1(k9_waybel_0(X1)))
& v2_lattice3(k2_yellow_1(k9_waybel_0(X1)))
& v4_orders_2(k2_yellow_1(k9_waybel_0(X1)))
& v3_orders_2(k2_yellow_1(k9_waybel_0(X1)))
& v2_orders_2(k2_yellow_1(k9_waybel_0(X1)))
& v1_orders_2(k2_yellow_1(k9_waybel_0(X1)))
& ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X1))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_waybel16) ).
fof(fc14_waybel_8,axiom,
! [X1] :
( v2_waybel_8(k3_yellow_1(X1))
& v1_waybel_8(k3_yellow_1(X1))
& v3_waybel_3(k3_yellow_1(X1))
& v2_waybel_3(k3_yellow_1(X1))
& v11_waybel_1(k3_yellow_1(X1))
& v10_waybel_1(k3_yellow_1(X1))
& v9_waybel_1(k3_yellow_1(X1))
& v2_waybel_1(k3_yellow_1(X1))
& v25_waybel_0(k3_yellow_1(X1))
& v24_waybel_0(k3_yellow_1(X1))
& v3_yellow_0(k3_yellow_1(X1))
& v2_yellow_0(k3_yellow_1(X1))
& v1_yellow_0(k3_yellow_1(X1))
& v3_lattice3(k3_yellow_1(X1))
& v2_lattice3(k3_yellow_1(X1))
& v1_lattice3(k3_yellow_1(X1))
& v4_orders_2(k3_yellow_1(X1))
& v3_orders_2(k3_yellow_1(X1))
& v2_orders_2(k3_yellow_1(X1))
& v1_orders_2(k3_yellow_1(X1))
& ~ v3_struct_0(k3_yellow_1(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc14_waybel_8) ).
fof(dt_k3_yellow_1,axiom,
! [X1] :
( l1_orders_2(k3_yellow_1(X1))
& v1_orders_2(k3_yellow_1(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_yellow_1) ).
fof(c_0_28,negated_conjecture,
~ ! [X1,X2] :
( ( l1_orders_2(X2)
& v3_waybel_3(X2)
& v3_lattice3(X2)
& v4_orders_2(X2)
& v3_orders_2(X2)
& v2_orders_2(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,k1_waybel22(X1),u1_struct_0(X2))
& v1_funct_2(X3,k1_waybel22(X1),u1_struct_0(X2))
& v1_funct_1(X3) )
=> k1_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))),X2,k2_waybel22(X1,X2,X3),k4_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))) = k4_yellow_0(X2) ) ),
inference(assume_negation,[status(cth)],[t13_waybel22]) ).
fof(c_0_29,negated_conjecture,
~ ! [X1,X2] :
( ( l1_orders_2(X2)
& v3_waybel_3(X2)
& v3_lattice3(X2)
& v4_orders_2(X2)
& v3_orders_2(X2)
& v2_orders_2(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,k1_waybel22(X1),u1_struct_0(X2))
& v1_funct_2(X3,k1_waybel22(X1),u1_struct_0(X2))
& v1_funct_1(X3) )
=> k1_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))),X2,k2_waybel22(X1,X2,X3),k4_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))) = k4_yellow_0(X2) ) ),
inference(fof_simplification,[status(thm)],[c_0_28]) ).
fof(c_0_30,plain,
! [X1,X2] :
( ( l1_orders_2(X2)
& v3_waybel_3(X2)
& v3_lattice3(X2)
& v4_orders_2(X2)
& v3_orders_2(X2)
& v2_orders_2(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,k1_waybel22(X1),u1_struct_0(X2))
& v1_funct_2(X3,k1_waybel22(X1),u1_struct_0(X2))
& v1_funct_1(X3) )
=> ! [X4] :
( ( m2_relset_1(X4,u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1)))),u1_struct_0(X2))
& v1_funct_2(X4,u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1)))),u1_struct_0(X2))
& v1_funct_1(X4) )
=> ( X4 = k2_waybel22(X1,X2,X3)
<=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1)))))
=> k1_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))),X2,X4,X5) = k1_yellow_0(X2,a_4_0_waybel22(X1,X2,X3,X5)) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[d3_waybel22]) ).
fof(c_0_31,plain,
! [X1,X2,X3] :
( ( m1_relset_1(X3,k1_waybel22(X1),u1_struct_0(X2))
& v1_funct_2(X3,k1_waybel22(X1),u1_struct_0(X2))
& v1_funct_1(X3)
& l1_orders_2(X2)
& v3_waybel_3(X2)
& v3_lattice3(X2)
& v4_orders_2(X2)
& v3_orders_2(X2)
& v2_orders_2(X2)
& ~ v3_struct_0(X2) )
=> ( m2_relset_1(k2_waybel22(X1,X2,X3),u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1)))),u1_struct_0(X2))
& v1_funct_2(k2_waybel22(X1,X2,X3),u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1)))),u1_struct_0(X2))
& v1_funct_1(k2_waybel22(X1,X2,X3)) ) ),
inference(fof_simplification,[status(thm)],[dt_k2_waybel22]) ).
fof(c_0_32,plain,
! [X195,X196,X197] :
( ( m2_relset_1(X197,X195,X196)
| ~ m1_relset_1(X197,X195,X196) )
& ( m1_relset_1(X197,X195,X196)
| ~ m2_relset_1(X197,X195,X196) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])])]) ).
fof(c_0_33,negated_conjecture,
( k1_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk1_0))),esk2_0,k2_waybel22(esk1_0,esk2_0,esk3_0),k4_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk1_0))))) != k4_yellow_0(esk2_0)
& m2_relset_1(esk3_0,k1_waybel22(esk1_0),u1_struct_0(esk2_0))
& v1_funct_2(esk3_0,k1_waybel22(esk1_0),u1_struct_0(esk2_0))
& v1_funct_1(esk3_0)
& l1_orders_2(esk2_0)
& v3_waybel_3(esk2_0)
& v3_lattice3(esk2_0)
& v4_orders_2(esk2_0)
& v3_orders_2(esk2_0)
& v2_orders_2(esk2_0)
& ~ v3_struct_0(esk2_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])])]) ).
fof(c_0_34,plain,
! [X54,X55,X56,X57,X58] :
( ( ~ l1_orders_2(X55)
| ~ v3_waybel_3(X55)
| ~ v3_lattice3(X55)
| ~ v4_orders_2(X55)
| ~ v3_orders_2(X55)
| ~ v2_orders_2(X55)
| v3_struct_0(X55)
| ~ m2_relset_1(X56,k1_waybel22(X54),u1_struct_0(X55))
| ~ v1_funct_2(X56,k1_waybel22(X54),u1_struct_0(X55))
| ~ v1_funct_1(X56)
| ~ m2_relset_1(X57,u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X54)))),u1_struct_0(X55))
| ~ v1_funct_2(X57,u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X54)))),u1_struct_0(X55))
| ~ v1_funct_1(X57)
| X57 = k2_waybel22(X54,X55,X56)
| k1_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X54))),X55,X57,esk5_4(X54,X55,X56,X57)) != k1_yellow_0(X55,a_4_0_waybel22(X54,X55,X56,esk5_4(X54,X55,X56,X57))) )
& ( ~ l1_orders_2(X55)
| ~ v3_waybel_3(X55)
| ~ v3_lattice3(X55)
| ~ v4_orders_2(X55)
| ~ v3_orders_2(X55)
| ~ v2_orders_2(X55)
| v3_struct_0(X55)
| ~ m2_relset_1(X56,k1_waybel22(X54),u1_struct_0(X55))
| ~ v1_funct_2(X56,k1_waybel22(X54),u1_struct_0(X55))
| ~ v1_funct_1(X56)
| ~ m2_relset_1(X57,u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X54)))),u1_struct_0(X55))
| ~ v1_funct_2(X57,u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X54)))),u1_struct_0(X55))
| ~ v1_funct_1(X57)
| X57 = k2_waybel22(X54,X55,X56)
| m1_subset_1(esk5_4(X54,X55,X56,X57),u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X54))))) )
& ( ~ l1_orders_2(X55)
| ~ v3_waybel_3(X55)
| ~ v3_lattice3(X55)
| ~ v4_orders_2(X55)
| ~ v3_orders_2(X55)
| ~ v2_orders_2(X55)
| v3_struct_0(X55)
| ~ m2_relset_1(X56,k1_waybel22(X54),u1_struct_0(X55))
| ~ v1_funct_2(X56,k1_waybel22(X54),u1_struct_0(X55))
| ~ v1_funct_1(X56)
| ~ m2_relset_1(X57,u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X54)))),u1_struct_0(X55))
| ~ v1_funct_2(X57,u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X54)))),u1_struct_0(X55))
| ~ v1_funct_1(X57)
| k1_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X54))),X55,X57,X58) = k1_yellow_0(X55,a_4_0_waybel22(X54,X55,X56,X58))
| ~ m1_subset_1(X58,u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X54)))))
| X57 != k2_waybel22(X54,X55,X56) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])])])])]) ).
fof(c_0_35,plain,
! [X76,X77,X78] :
( ( ~ m1_relset_1(X78,k1_waybel22(X76),u1_struct_0(X77))
| ~ v1_funct_2(X78,k1_waybel22(X76),u1_struct_0(X77))
| ~ v1_funct_1(X78)
| ~ l1_orders_2(X77)
| ~ v3_waybel_3(X77)
| ~ v3_lattice3(X77)
| ~ v4_orders_2(X77)
| ~ v3_orders_2(X77)
| ~ v2_orders_2(X77)
| v3_struct_0(X77)
| m2_relset_1(k2_waybel22(X76,X77,X78),u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X76)))),u1_struct_0(X77)) )
& ( ~ m1_relset_1(X78,k1_waybel22(X76),u1_struct_0(X77))
| ~ v1_funct_2(X78,k1_waybel22(X76),u1_struct_0(X77))
| ~ v1_funct_1(X78)
| ~ l1_orders_2(X77)
| ~ v3_waybel_3(X77)
| ~ v3_lattice3(X77)
| ~ v4_orders_2(X77)
| ~ v3_orders_2(X77)
| ~ v2_orders_2(X77)
| v3_struct_0(X77)
| v1_funct_2(k2_waybel22(X76,X77,X78),u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X76)))),u1_struct_0(X77)) )
& ( ~ m1_relset_1(X78,k1_waybel22(X76),u1_struct_0(X77))
| ~ v1_funct_2(X78,k1_waybel22(X76),u1_struct_0(X77))
| ~ v1_funct_1(X78)
| ~ l1_orders_2(X77)
| ~ v3_waybel_3(X77)
| ~ v3_lattice3(X77)
| ~ v4_orders_2(X77)
| ~ v3_orders_2(X77)
| ~ v2_orders_2(X77)
| v3_struct_0(X77)
| v1_funct_1(k2_waybel22(X76,X77,X78)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])])]) ).
cnf(c_0_36,plain,
( ~ m2_relset_1(X1,X2,X3)
| m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_37,negated_conjecture,
m2_relset_1(esk3_0,k1_waybel22(esk1_0),u1_struct_0(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
fof(c_0_38,plain,
! [X1,X2,X3,X4,X5] :
( ( m1_subset_1(X5,u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2)))))
& m2_relset_1(X4,k1_waybel22(X2),u1_struct_0(X3))
& v1_funct_2(X4,k1_waybel22(X2),u1_struct_0(X3))
& v1_funct_1(X4)
& l1_orders_2(X3)
& v3_waybel_3(X3)
& v3_lattice3(X3)
& v4_orders_2(X3)
& v3_orders_2(X3)
& v2_orders_2(X3)
& ~ v3_struct_0(X3) )
=> ( r2_hidden(X1,a_4_0_waybel22(X2,X3,X4,X5))
<=> ? [X6] :
( r2_hidden(X6,X5)
& X1 = k2_yellow_0(X3,a_4_1_waybel22(X2,X3,X4,X6))
& m1_subset_1(X6,k1_zfmisc_1(X2)) ) ) ),
inference(fof_simplification,[status(thm)],[fraenkel_a_4_0_waybel22]) ).
fof(c_0_39,plain,
! [X1,X2,X3,X4,X5] :
( ( m1_subset_1(X5,k1_zfmisc_1(X2))
& m2_relset_1(X4,k1_waybel22(X2),u1_struct_0(X3))
& v1_funct_2(X4,k1_waybel22(X2),u1_struct_0(X3))
& v1_funct_1(X4)
& l1_orders_2(X3)
& v3_waybel_3(X3)
& v3_lattice3(X3)
& v4_orders_2(X3)
& v3_orders_2(X3)
& v2_orders_2(X3)
& ~ v3_struct_0(X3) )
=> ( r2_hidden(X1,a_4_1_waybel22(X2,X3,X4,X5))
<=> ? [X6] :
( ? [X7] :
( r2_hidden(X7,X5)
& X6 = k1_tarski(X7)
& m1_subset_1(X7,X2) )
& X1 = k1_funct_1(X4,k7_waybel_0(k3_yellow_1(X2),X6))
& m1_subset_1(X6,u1_struct_0(k3_yellow_1(X2))) ) ) ),
inference(fof_simplification,[status(thm)],[fraenkel_a_4_1_waybel22]) ).
fof(c_0_40,plain,
! [X1,X2,X3,X4] :
( ( m1_subset_1(X4,u1_struct_0(X1))
& 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_struct_0(X2)
& ~ v3_struct_0(X2)
& l1_struct_0(X1)
& ~ v3_struct_0(X1) )
=> m1_subset_1(k1_waybel_0(X1,X2,X3,X4),u1_struct_0(X2)) ),
inference(fof_simplification,[status(thm)],[dt_k1_waybel_0]) ).
cnf(c_0_41,plain,
( ~ l1_orders_2(X3)
| ~ v3_waybel_3(X3)
| ~ v3_lattice3(X3)
| ~ v4_orders_2(X3)
| ~ v3_orders_2(X3)
| ~ v2_orders_2(X3)
| ~ m2_relset_1(X4,k1_waybel22(X2),u1_struct_0(X3))
| ~ v1_funct_2(X4,k1_waybel22(X2),u1_struct_0(X3))
| ~ v1_funct_1(X4)
| ~ m2_relset_1(X1,u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2)))),u1_struct_0(X3))
| ~ v1_funct_2(X1,u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2)))),u1_struct_0(X3))
| ~ v1_funct_1(X1)
| ~ m1_subset_1(X5,u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2)))))
| X1 != k2_waybel22(X2,X3,X4)
| v3_struct_0(X3)
| k1_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))),X3,X1,X5) = k1_yellow_0(X3,a_4_0_waybel22(X2,X3,X4,X5)) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_42,plain,
( ~ m1_relset_1(X3,k1_waybel22(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,k1_waybel22(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ~ l1_orders_2(X2)
| ~ v3_waybel_3(X2)
| ~ v3_lattice3(X2)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X2)
| v3_struct_0(X2)
| v1_funct_1(k2_waybel22(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_43,negated_conjecture,
m1_relset_1(esk3_0,k1_waybel22(esk1_0),u1_struct_0(esk2_0)),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_44,negated_conjecture,
v1_funct_2(esk3_0,k1_waybel22(esk1_0),u1_struct_0(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_45,negated_conjecture,
v1_funct_1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_46,negated_conjecture,
l1_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_47,negated_conjecture,
v3_waybel_3(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_48,negated_conjecture,
v3_lattice3(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_49,negated_conjecture,
v4_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_50,negated_conjecture,
v3_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_51,negated_conjecture,
v2_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_52,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_53,plain,
( ~ m1_relset_1(X3,k1_waybel22(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,k1_waybel22(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ~ l1_orders_2(X2)
| ~ v3_waybel_3(X2)
| ~ v3_lattice3(X2)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X2)
| v3_struct_0(X2)
| m2_relset_1(k2_waybel22(X1,X2,X3),u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1)))),u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_54,plain,
( ~ m1_relset_1(X3,k1_waybel22(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,k1_waybel22(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ~ l1_orders_2(X2)
| ~ v3_waybel_3(X2)
| ~ v3_lattice3(X2)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X2)
| v3_struct_0(X2)
| v1_funct_2(k2_waybel22(X1,X2,X3),u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1)))),u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
fof(c_0_55,plain,
! [X146,X147,X148,X149,X150,X152] :
( ( ~ m1_subset_1(X150,u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X147)))))
| ~ m2_relset_1(X149,k1_waybel22(X147),u1_struct_0(X148))
| ~ v1_funct_2(X149,k1_waybel22(X147),u1_struct_0(X148))
| ~ v1_funct_1(X149)
| ~ l1_orders_2(X148)
| ~ v3_waybel_3(X148)
| ~ v3_lattice3(X148)
| ~ v4_orders_2(X148)
| ~ v3_orders_2(X148)
| ~ v2_orders_2(X148)
| v3_struct_0(X148)
| r2_hidden(X146,a_4_0_waybel22(X147,X148,X149,X150))
| ~ r2_hidden(X152,X150)
| X146 != k2_yellow_0(X148,a_4_1_waybel22(X147,X148,X149,X152))
| ~ m1_subset_1(X152,k1_zfmisc_1(X147)) )
& ( ~ m1_subset_1(X150,u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X147)))))
| ~ m2_relset_1(X149,k1_waybel22(X147),u1_struct_0(X148))
| ~ v1_funct_2(X149,k1_waybel22(X147),u1_struct_0(X148))
| ~ v1_funct_1(X149)
| ~ l1_orders_2(X148)
| ~ v3_waybel_3(X148)
| ~ v3_lattice3(X148)
| ~ v4_orders_2(X148)
| ~ v3_orders_2(X148)
| ~ v2_orders_2(X148)
| v3_struct_0(X148)
| ~ r2_hidden(X146,a_4_0_waybel22(X147,X148,X149,X150))
| r2_hidden(esk15_5(X146,X147,X148,X149,X150),X150) )
& ( ~ m1_subset_1(X150,u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X147)))))
| ~ m2_relset_1(X149,k1_waybel22(X147),u1_struct_0(X148))
| ~ v1_funct_2(X149,k1_waybel22(X147),u1_struct_0(X148))
| ~ v1_funct_1(X149)
| ~ l1_orders_2(X148)
| ~ v3_waybel_3(X148)
| ~ v3_lattice3(X148)
| ~ v4_orders_2(X148)
| ~ v3_orders_2(X148)
| ~ v2_orders_2(X148)
| v3_struct_0(X148)
| ~ r2_hidden(X146,a_4_0_waybel22(X147,X148,X149,X150))
| X146 = k2_yellow_0(X148,a_4_1_waybel22(X147,X148,X149,esk15_5(X146,X147,X148,X149,X150))) )
& ( ~ m1_subset_1(X150,u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X147)))))
| ~ m2_relset_1(X149,k1_waybel22(X147),u1_struct_0(X148))
| ~ v1_funct_2(X149,k1_waybel22(X147),u1_struct_0(X148))
| ~ v1_funct_1(X149)
| ~ l1_orders_2(X148)
| ~ v3_waybel_3(X148)
| ~ v3_lattice3(X148)
| ~ v4_orders_2(X148)
| ~ v3_orders_2(X148)
| ~ v2_orders_2(X148)
| v3_struct_0(X148)
| ~ r2_hidden(X146,a_4_0_waybel22(X147,X148,X149,X150))
| m1_subset_1(esk15_5(X146,X147,X148,X149,X150),k1_zfmisc_1(X147)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])])])])]) ).
fof(c_0_56,plain,
! [X205] : k4_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X205)))) = k1_zfmisc_1(X205),
inference(variable_rename,[status(thm)],[t15_waybel16]) ).
fof(c_0_57,plain,
! [X153,X154,X155,X156,X157,X160,X161] :
( ( ~ m1_subset_1(X157,k1_zfmisc_1(X154))
| ~ m2_relset_1(X156,k1_waybel22(X154),u1_struct_0(X155))
| ~ v1_funct_2(X156,k1_waybel22(X154),u1_struct_0(X155))
| ~ v1_funct_1(X156)
| ~ l1_orders_2(X155)
| ~ v3_waybel_3(X155)
| ~ v3_lattice3(X155)
| ~ v4_orders_2(X155)
| ~ v3_orders_2(X155)
| ~ v2_orders_2(X155)
| v3_struct_0(X155)
| r2_hidden(X153,a_4_1_waybel22(X154,X155,X156,X157))
| ~ r2_hidden(X161,X157)
| X160 != k1_tarski(X161)
| ~ m1_subset_1(X161,X154)
| X153 != k1_funct_1(X156,k7_waybel_0(k3_yellow_1(X154),X160))
| ~ m1_subset_1(X160,u1_struct_0(k3_yellow_1(X154))) )
& ( ~ m1_subset_1(X157,k1_zfmisc_1(X154))
| ~ m2_relset_1(X156,k1_waybel22(X154),u1_struct_0(X155))
| ~ v1_funct_2(X156,k1_waybel22(X154),u1_struct_0(X155))
| ~ v1_funct_1(X156)
| ~ l1_orders_2(X155)
| ~ v3_waybel_3(X155)
| ~ v3_lattice3(X155)
| ~ v4_orders_2(X155)
| ~ v3_orders_2(X155)
| ~ v2_orders_2(X155)
| v3_struct_0(X155)
| ~ r2_hidden(X153,a_4_1_waybel22(X154,X155,X156,X157))
| r2_hidden(esk17_5(X153,X154,X155,X156,X157),X157) )
& ( ~ m1_subset_1(X157,k1_zfmisc_1(X154))
| ~ m2_relset_1(X156,k1_waybel22(X154),u1_struct_0(X155))
| ~ v1_funct_2(X156,k1_waybel22(X154),u1_struct_0(X155))
| ~ v1_funct_1(X156)
| ~ l1_orders_2(X155)
| ~ v3_waybel_3(X155)
| ~ v3_lattice3(X155)
| ~ v4_orders_2(X155)
| ~ v3_orders_2(X155)
| ~ v2_orders_2(X155)
| v3_struct_0(X155)
| ~ r2_hidden(X153,a_4_1_waybel22(X154,X155,X156,X157))
| esk16_5(X153,X154,X155,X156,X157) = k1_tarski(esk17_5(X153,X154,X155,X156,X157)) )
& ( ~ m1_subset_1(X157,k1_zfmisc_1(X154))
| ~ m2_relset_1(X156,k1_waybel22(X154),u1_struct_0(X155))
| ~ v1_funct_2(X156,k1_waybel22(X154),u1_struct_0(X155))
| ~ v1_funct_1(X156)
| ~ l1_orders_2(X155)
| ~ v3_waybel_3(X155)
| ~ v3_lattice3(X155)
| ~ v4_orders_2(X155)
| ~ v3_orders_2(X155)
| ~ v2_orders_2(X155)
| v3_struct_0(X155)
| ~ r2_hidden(X153,a_4_1_waybel22(X154,X155,X156,X157))
| m1_subset_1(esk17_5(X153,X154,X155,X156,X157),X154) )
& ( ~ m1_subset_1(X157,k1_zfmisc_1(X154))
| ~ m2_relset_1(X156,k1_waybel22(X154),u1_struct_0(X155))
| ~ v1_funct_2(X156,k1_waybel22(X154),u1_struct_0(X155))
| ~ v1_funct_1(X156)
| ~ l1_orders_2(X155)
| ~ v3_waybel_3(X155)
| ~ v3_lattice3(X155)
| ~ v4_orders_2(X155)
| ~ v3_orders_2(X155)
| ~ v2_orders_2(X155)
| v3_struct_0(X155)
| ~ r2_hidden(X153,a_4_1_waybel22(X154,X155,X156,X157))
| X153 = k1_funct_1(X156,k7_waybel_0(k3_yellow_1(X154),esk16_5(X153,X154,X155,X156,X157))) )
& ( ~ m1_subset_1(X157,k1_zfmisc_1(X154))
| ~ m2_relset_1(X156,k1_waybel22(X154),u1_struct_0(X155))
| ~ v1_funct_2(X156,k1_waybel22(X154),u1_struct_0(X155))
| ~ v1_funct_1(X156)
| ~ l1_orders_2(X155)
| ~ v3_waybel_3(X155)
| ~ v3_lattice3(X155)
| ~ v4_orders_2(X155)
| ~ v3_orders_2(X155)
| ~ v2_orders_2(X155)
| v3_struct_0(X155)
| ~ r2_hidden(X153,a_4_1_waybel22(X154,X155,X156,X157))
| m1_subset_1(esk16_5(X153,X154,X155,X156,X157),u1_struct_0(k3_yellow_1(X154))) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])])])])]) ).
fof(c_0_58,plain,
! [X181] :
( v1_xboole_0(esk31_1(X181))
& m1_subset_1(esk31_1(X181),k1_zfmisc_1(X181)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc2_subset_1])]) ).
fof(c_0_59,plain,
! [X230] :
( X230 = k1_xboole_0
| ~ v1_xboole_0(X230) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])])]) ).
fof(c_0_60,plain,
! [X1] :
( X1 = k1_xboole_0
<=> ! [X2] : ~ r2_hidden(X2,X1) ),
inference(fof_simplification,[status(thm)],[d1_xboole_0]) ).
fof(c_0_61,plain,
! [X70,X71,X72,X73] :
( m1_subset_1(k1_waybel_0(X70,X71,X72,X73),u1_struct_0(X71))
| ~ m1_subset_1(X73,u1_struct_0(X70))
| ~ m1_relset_1(X72,u1_struct_0(X70),u1_struct_0(X71))
| ~ v1_funct_2(X72,u1_struct_0(X70),u1_struct_0(X71))
| ~ v1_funct_1(X72)
| ~ l1_struct_0(X71)
| v3_struct_0(X71)
| ~ l1_struct_0(X70)
| v3_struct_0(X70) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])]) ).
fof(c_0_62,plain,
! [X83] :
( m1_subset_1(k4_yellow_0(X83),u1_struct_0(X83))
| ~ l1_orders_2(X83) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k4_yellow_0])])]) ).
fof(c_0_63,plain,
! [X88] :
( l1_struct_0(X88)
| ~ l1_orders_2(X88) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_orders_2])])]) ).
cnf(c_0_64,plain,
( ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v3_lattice3(X2)
| ~ v3_waybel_3(X2)
| ~ l1_orders_2(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(k2_waybel22(X1,X2,X3))
| ~ v1_funct_2(X3,k1_waybel22(X1),u1_struct_0(X2))
| ~ v1_funct_2(k2_waybel22(X1,X2,X3),u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1)))),u1_struct_0(X2))
| ~ m2_relset_1(X3,k1_waybel22(X1),u1_struct_0(X2))
| ~ m2_relset_1(k2_waybel22(X1,X2,X3),u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1)))),u1_struct_0(X2))
| ~ m1_subset_1(X4,u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1)))))
| v3_struct_0(X2)
| k1_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))),X2,k2_waybel22(X1,X2,X3),X4) = k1_yellow_0(X2,a_4_0_waybel22(X1,X2,X3,X4)) ),
inference(er,[status(thm)],[c_0_41]) ).
cnf(c_0_65,negated_conjecture,
v1_funct_1(k2_waybel22(esk1_0,esk2_0,esk3_0)),
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(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_50]),c_0_51])]),c_0_52]) ).
cnf(c_0_66,negated_conjecture,
m2_relset_1(k2_waybel22(esk1_0,esk2_0,esk3_0),u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk1_0)))),u1_struct_0(esk2_0)),
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(spm,[status(thm)],[c_0_53,c_0_43]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_50]),c_0_51])]),c_0_52]) ).
cnf(c_0_67,negated_conjecture,
v1_funct_2(k2_waybel22(esk1_0,esk2_0,esk3_0),u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk1_0)))),u1_struct_0(esk2_0)),
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(spm,[status(thm)],[c_0_54,c_0_43]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_50]),c_0_51])]),c_0_52]) ).
fof(c_0_68,plain,
! [X81] :
( l1_orders_2(k2_yellow_1(X81))
& v1_orders_2(k2_yellow_1(X81)) ),
inference(variable_rename,[status(thm)],[dt_k2_yellow_1]) ).
fof(c_0_69,plain,
! [X1] :
( l1_orders_2(X1)
=> ( ( v3_lattice3(X1)
& ~ v3_struct_0(X1) )
=> ( v3_yellow_0(X1)
& ~ v3_struct_0(X1) ) ) ),
inference(fof_simplification,[status(thm)],[cc3_yellow_0]) ).
cnf(c_0_70,plain,
( ~ m1_subset_1(X6,u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2)))))
| ~ m2_relset_1(X5,k1_waybel22(X2),u1_struct_0(X4))
| ~ v1_funct_2(X5,k1_waybel22(X2),u1_struct_0(X4))
| ~ v1_funct_1(X5)
| ~ l1_orders_2(X4)
| ~ v3_waybel_3(X4)
| ~ v3_lattice3(X4)
| ~ v4_orders_2(X4)
| ~ v3_orders_2(X4)
| ~ v2_orders_2(X4)
| ~ r2_hidden(X1,X6)
| X3 != k2_yellow_0(X4,a_4_1_waybel22(X2,X4,X5,X1))
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| v3_struct_0(X4)
| r2_hidden(X3,a_4_0_waybel22(X2,X4,X5,X6)) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_71,plain,
k4_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1)))) = k1_zfmisc_1(X1),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
fof(c_0_72,plain,
! [X1] : ~ v1_xboole_0(k1_zfmisc_1(X1)),
inference(fof_simplification,[status(thm)],[fc1_subset_1]) ).
cnf(c_0_73,plain,
( ~ m1_subset_1(X5,k1_zfmisc_1(X2))
| ~ m2_relset_1(X4,k1_waybel22(X2),u1_struct_0(X3))
| ~ v1_funct_2(X4,k1_waybel22(X2),u1_struct_0(X3))
| ~ v1_funct_1(X4)
| ~ l1_orders_2(X3)
| ~ v3_waybel_3(X3)
| ~ v3_lattice3(X3)
| ~ v4_orders_2(X3)
| ~ v3_orders_2(X3)
| ~ v2_orders_2(X3)
| ~ r2_hidden(X1,a_4_1_waybel22(X2,X3,X4,X5))
| v3_struct_0(X3)
| r2_hidden(esk17_5(X1,X2,X3,X4,X5),X5) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_74,plain,
m1_subset_1(esk31_1(X1),k1_zfmisc_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_75,plain,
( ~ v1_xboole_0(X1)
| X1 = k1_xboole_0 ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_76,plain,
v1_xboole_0(esk31_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
fof(c_0_77,plain,
! [X48,X49,X50] :
( ( X50 = k1_xboole_0
| r2_hidden(esk4_1(X50),X50) )
& ( ~ r2_hidden(X49,X48)
| X48 != k1_xboole_0 ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_60])])])])])]) ).
cnf(c_0_78,plain,
( ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ 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_struct_0(X2)
| ~ l1_struct_0(X1)
| m1_subset_1(k1_waybel_0(X1,X2,X3,X4),u1_struct_0(X2))
| v3_struct_0(X2)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_79,plain,
( ~ l1_orders_2(X1)
| m1_subset_1(k4_yellow_0(X1),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_80,plain,
( ~ l1_orders_2(X1)
| l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_81,negated_conjecture,
( ~ m1_subset_1(X1,u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk1_0)))))
| k1_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk1_0))),esk2_0,k2_waybel22(esk1_0,esk2_0,esk3_0),X1) = k1_yellow_0(esk2_0,a_4_0_waybel22(esk1_0,esk2_0,esk3_0,X1)) ),
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(spm,[status(thm)],[c_0_64,c_0_65]),c_0_37]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_50]),c_0_51])]),c_0_52]),c_0_66]),c_0_67])]) ).
cnf(c_0_82,plain,
l1_orders_2(k2_yellow_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
fof(c_0_83,plain,
! [X41] :
( ( ~ l1_orders_2(X41)
| ~ v3_yellow_0(X41)
| v2_yellow_0(X41) )
& ( ~ l1_orders_2(X41)
| ~ v3_yellow_0(X41)
| v1_yellow_0(X41) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc4_yellow_0])])])]) ).
fof(c_0_84,plain,
! [X38] :
( ( ~ l1_orders_2(X38)
| ~ v3_lattice3(X38)
| v3_struct_0(X38)
| v3_yellow_0(X38) )
& ( ~ l1_orders_2(X38)
| ~ v3_lattice3(X38)
| v3_struct_0(X38)
| ~ v3_struct_0(X38) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_69])])])]) ).
cnf(c_0_85,plain,
( ~ m1_subset_1(X1,k4_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2)))))
| ~ m1_subset_1(X6,u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2)))))
| ~ m2_relset_1(X5,k1_waybel22(X2),u1_struct_0(X4))
| ~ v1_funct_2(X5,k1_waybel22(X2),u1_struct_0(X4))
| ~ r2_hidden(X1,X6)
| ~ v1_funct_1(X5)
| ~ l1_orders_2(X4)
| ~ v3_waybel_3(X4)
| ~ v3_lattice3(X4)
| ~ v4_orders_2(X4)
| ~ v3_orders_2(X4)
| ~ v2_orders_2(X4)
| X3 != k2_yellow_0(X4,a_4_1_waybel22(X2,X4,X5,X1))
| r2_hidden(X3,a_4_0_waybel22(X2,X4,X5,X6))
| v3_struct_0(X4) ),
inference(rw,[status(thm)],[c_0_70,c_0_71]) ).
fof(c_0_86,plain,
! [X116] : ~ v1_xboole_0(k1_zfmisc_1(X116)),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_72])]) ).
cnf(c_0_87,plain,
( ~ m1_subset_1(X5,k4_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2)))))
| ~ m2_relset_1(X4,k1_waybel22(X2),u1_struct_0(X3))
| ~ v1_funct_2(X4,k1_waybel22(X2),u1_struct_0(X3))
| ~ r2_hidden(X1,a_4_1_waybel22(X2,X3,X4,X5))
| ~ v1_funct_1(X4)
| ~ l1_orders_2(X3)
| ~ v3_waybel_3(X3)
| ~ v3_lattice3(X3)
| ~ v4_orders_2(X3)
| ~ v3_orders_2(X3)
| ~ v2_orders_2(X3)
| r2_hidden(esk17_5(X1,X2,X3,X4,X5),X5)
| v3_struct_0(X3) ),
inference(rw,[status(thm)],[c_0_73,c_0_71]) ).
cnf(c_0_88,plain,
m1_subset_1(esk31_1(X1),k4_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))),
inference(rw,[status(thm)],[c_0_74,c_0_71]) ).
cnf(c_0_89,plain,
esk31_1(X1) = k1_xboole_0,
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_90,plain,
( ~ r2_hidden(X2,X1)
| X1 != k1_xboole_0 ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
fof(c_0_91,plain,
! [X210,X211] :
( ( X210 = X211
| r2_hidden(esk37_2(X210,X211),X211)
| r2_hidden(esk37_2(X210,X211),X210) )
& ( X210 = X211
| ~ r2_hidden(esk37_2(X210,X211),X211)
| ~ r2_hidden(esk37_2(X210,X211),X210) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_tarski])])])])]) ).
fof(c_0_92,plain,
! [X1] :
( ( l1_orders_2(X1)
& v2_yellow_0(X1)
& v4_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ( r1_orders_2(X1,k4_yellow_0(X1),X2)
=> X2 = k4_yellow_0(X1) ) ) ),
inference(fof_simplification,[status(thm)],[t5_waybel15]) ).
cnf(c_0_93,plain,
( ~ l1_orders_2(X1)
| ~ 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))
| ~ l1_struct_0(X2)
| v3_struct_0(X2)
| v3_struct_0(X1)
| m1_subset_1(k1_waybel_0(X1,X2,X3,k4_yellow_0(X1)),u1_struct_0(X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_80]) ).
cnf(c_0_94,negated_conjecture,
m1_relset_1(k2_waybel22(esk1_0,esk2_0,esk3_0),u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk1_0)))),u1_struct_0(esk2_0)),
inference(spm,[status(thm)],[c_0_36,c_0_66]) ).
cnf(c_0_95,negated_conjecture,
k1_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk1_0))),esk2_0,k2_waybel22(esk1_0,esk2_0,esk3_0),k4_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk1_0))))) = k1_yellow_0(esk2_0,a_4_0_waybel22(esk1_0,esk2_0,esk3_0,k4_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk1_0)))))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_79]),c_0_82])]) ).
cnf(c_0_96,plain,
( ~ l1_orders_2(X1)
| ~ v3_yellow_0(X1)
| v2_yellow_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_97,plain,
( ~ l1_orders_2(X1)
| ~ v3_lattice3(X1)
| v3_struct_0(X1)
| v3_yellow_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_98,plain,
( ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ v3_waybel_3(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k1_waybel22(X2),u1_struct_0(X1))
| ~ m2_relset_1(X3,k1_waybel22(X2),u1_struct_0(X1))
| ~ r2_hidden(X4,X5)
| ~ m1_subset_1(X4,k4_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2)))))
| ~ m1_subset_1(X5,u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2)))))
| v3_struct_0(X1)
| r2_hidden(k2_yellow_0(X1,a_4_1_waybel22(X2,X1,X3,X4)),a_4_0_waybel22(X2,X1,X3,X5)) ),
inference(er,[status(thm)],[c_0_85]) ).
fof(c_0_99,plain,
! [X206,X207] :
( m1_subset_1(X206,X207)
| ~ r2_hidden(X206,X207) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])])]) ).
fof(c_0_100,plain,
! [X208,X209] :
( r2_hidden(X208,X209)
| v1_xboole_0(X209)
| ~ m1_subset_1(X208,X209) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])])]) ).
cnf(c_0_101,plain,
~ v1_xboole_0(k1_zfmisc_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_102,negated_conjecture,
( ~ r2_hidden(X1,a_4_1_waybel22(esk1_0,esk2_0,esk3_0,X2))
| ~ m1_subset_1(X2,k4_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk1_0)))))
| r2_hidden(esk17_5(X1,esk1_0,esk2_0,esk3_0,X2),X2) ),
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(spm,[status(thm)],[c_0_87,c_0_37]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_50]),c_0_51])]),c_0_52]) ).
cnf(c_0_103,plain,
m1_subset_1(k1_xboole_0,k4_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))),
inference(rw,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_104,plain,
~ r2_hidden(X1,k1_xboole_0),
inference(er,[status(thm)],[c_0_90]) ).
cnf(c_0_105,plain,
( X1 = X2
| r2_hidden(esk37_2(X1,X2),X2)
| r2_hidden(esk37_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
fof(c_0_106,plain,
! [X60,X61,X62,X63] :
( ( ~ l1_orders_2(X60)
| ~ m1_subset_1(X62,u1_struct_0(X60))
| r2_lattice3(X60,X61,X62)
| ~ r1_orders_2(X60,esk6_3(X60,X61,X62),X62) )
& ( ~ l1_orders_2(X60)
| ~ m1_subset_1(X62,u1_struct_0(X60))
| r2_lattice3(X60,X61,X62)
| r2_hidden(esk6_3(X60,X61,X62),X61) )
& ( ~ l1_orders_2(X60)
| ~ m1_subset_1(X62,u1_struct_0(X60))
| r2_lattice3(X60,X61,X62)
| m1_subset_1(esk6_3(X60,X61,X62),u1_struct_0(X60)) )
& ( ~ l1_orders_2(X60)
| ~ m1_subset_1(X62,u1_struct_0(X60))
| r1_orders_2(X60,X63,X62)
| ~ r2_hidden(X63,X61)
| ~ m1_subset_1(X63,u1_struct_0(X60))
| ~ r2_lattice3(X60,X61,X62) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d9_lattice3])])])])])]) ).
fof(c_0_107,plain,
! [X228,X229] :
( X229 = k4_yellow_0(X228)
| ~ r1_orders_2(X228,k4_yellow_0(X228),X229)
| ~ m1_subset_1(X229,u1_struct_0(X228))
| ~ l1_orders_2(X228)
| ~ v2_yellow_0(X228)
| ~ v4_orders_2(X228)
| v3_struct_0(X228) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_92])])])]) ).
cnf(c_0_108,negated_conjecture,
( ~ l1_struct_0(esk2_0)
| v3_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk1_0))))
| m1_subset_1(k1_yellow_0(esk2_0,a_4_0_waybel22(esk1_0,esk2_0,esk3_0,k4_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk1_0)))))),u1_struct_0(esk2_0)) ),
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(spm,[status(thm)],[c_0_93,c_0_94]),c_0_95]),c_0_67]),c_0_65]),c_0_82])]),c_0_52]) ).
cnf(c_0_109,plain,
( ~ v3_lattice3(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X1)
| v2_yellow_0(X1) ),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_110,negated_conjecture,
k1_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk1_0))),esk2_0,k2_waybel22(esk1_0,esk2_0,esk3_0),k4_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk1_0))))) != k4_yellow_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_111,negated_conjecture,
( ~ r2_hidden(X1,X2)
| ~ m1_subset_1(X1,k4_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk1_0)))))
| ~ m1_subset_1(X2,u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk1_0)))))
| r2_hidden(k2_yellow_0(esk2_0,a_4_1_waybel22(esk1_0,esk2_0,esk3_0,X1)),a_4_0_waybel22(esk1_0,esk2_0,esk3_0,X2)) ),
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(spm,[status(thm)],[c_0_98,c_0_37]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_50]),c_0_51])]),c_0_52]) ).
cnf(c_0_112,plain,
( ~ r2_hidden(X1,X2)
| m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_113,plain,
( ~ m1_subset_1(X1,X2)
| r2_hidden(X1,X2)
| v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_114,plain,
~ v1_xboole_0(k4_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))),
inference(rw,[status(thm)],[c_0_101,c_0_71]) ).
cnf(c_0_115,negated_conjecture,
~ r2_hidden(X1,a_4_1_waybel22(esk1_0,esk2_0,esk3_0,k1_xboole_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_104]) ).
cnf(c_0_116,plain,
( r2_hidden(esk37_2(k1_xboole_0,X1),X1)
| k1_xboole_0 = X1 ),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_117,plain,
( ~ l1_orders_2(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r2_hidden(X4,X2)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ r2_lattice3(X1,X2,X3)
| r1_orders_2(X1,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_106]) ).
cnf(c_0_118,plain,
( ~ r1_orders_2(X1,k4_yellow_0(X1),X2)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_orders_2(X1)
| ~ v2_yellow_0(X1)
| ~ v4_orders_2(X1)
| X2 = k4_yellow_0(X1)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_107]) ).
cnf(c_0_119,negated_conjecture,
( v3_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk1_0))))
| m1_subset_1(k1_yellow_0(esk2_0,a_4_0_waybel22(esk1_0,esk2_0,esk3_0,k4_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk1_0)))))),u1_struct_0(esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_80]),c_0_46])]) ).
cnf(c_0_120,negated_conjecture,
v2_yellow_0(esk2_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_48]),c_0_46])]),c_0_52]) ).
cnf(c_0_121,negated_conjecture,
k1_yellow_0(esk2_0,a_4_0_waybel22(esk1_0,esk2_0,esk3_0,k4_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk1_0)))))) != k4_yellow_0(esk2_0),
inference(rw,[status(thm)],[c_0_110,c_0_95]) ).
cnf(c_0_122,negated_conjecture,
( ~ r2_hidden(X1,k4_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk1_0)))))
| r2_hidden(k2_yellow_0(esk2_0,a_4_1_waybel22(esk1_0,esk2_0,esk3_0,X1)),a_4_0_waybel22(esk1_0,esk2_0,esk3_0,k4_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk1_0)))))) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_79]),c_0_82])]),c_0_112]) ).
cnf(c_0_123,plain,
r2_hidden(k1_xboole_0,k4_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_103]),c_0_114]) ).
cnf(c_0_124,negated_conjecture,
a_4_1_waybel22(esk1_0,esk2_0,esk3_0,k1_xboole_0) = k1_xboole_0,
inference(spm,[status(thm)],[c_0_115,c_0_116]) ).
fof(c_0_125,plain,
! [X45] :
( k4_yellow_0(X45) = k2_yellow_0(X45,k1_xboole_0)
| ~ l1_orders_2(X45) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d12_yellow_0])])]) ).
fof(c_0_126,plain,
! [X1] :
( ( l1_orders_2(X1)
& v3_lattice3(X1)
& v4_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( X2 = k1_yellow_0(X1,X3)
<=> ( ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( r2_lattice3(X1,X3,X4)
=> r1_orders_2(X1,X2,X4) ) )
& r2_lattice3(X1,X3,X2) ) ) ) ),
inference(fof_simplification,[status(thm)],[t32_yellow_0]) ).
cnf(c_0_127,plain,
( ~ l1_orders_2(X1)
| ~ r2_hidden(k4_yellow_0(X1),X3)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ r2_lattice3(X1,X3,X2)
| r1_orders_2(X1,k4_yellow_0(X1),X2) ),
inference(spm,[status(thm)],[c_0_117,c_0_79]) ).
cnf(c_0_128,negated_conjecture,
( ~ r1_orders_2(esk2_0,k4_yellow_0(esk2_0),k1_yellow_0(esk2_0,a_4_0_waybel22(esk1_0,esk2_0,esk3_0,k4_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk1_0)))))))
| v3_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk1_0)))) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_120]),c_0_46]),c_0_49])]),c_0_121]),c_0_52]) ).
cnf(c_0_129,negated_conjecture,
r2_hidden(k2_yellow_0(esk2_0,k1_xboole_0),a_4_0_waybel22(esk1_0,esk2_0,esk3_0,k4_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk1_0)))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_124]) ).
cnf(c_0_130,plain,
( ~ l1_orders_2(X1)
| k4_yellow_0(X1) = k2_yellow_0(X1,k1_xboole_0) ),
inference(split_conjunct,[status(thm)],[c_0_125]) ).
fof(c_0_131,plain,
! [X214,X215,X216,X217,X218] :
( ( ~ l1_orders_2(X214)
| ~ v3_lattice3(X214)
| ~ v4_orders_2(X214)
| v3_struct_0(X214)
| ~ m1_subset_1(X215,u1_struct_0(X214))
| X215 = k1_yellow_0(X214,X218)
| ~ r2_lattice3(X214,X218,X215)
| ~ r1_orders_2(X214,X215,esk38_3(X214,X215,X218)) )
& ( ~ l1_orders_2(X214)
| ~ v3_lattice3(X214)
| ~ v4_orders_2(X214)
| v3_struct_0(X214)
| ~ m1_subset_1(X215,u1_struct_0(X214))
| X215 = k1_yellow_0(X214,X218)
| ~ r2_lattice3(X214,X218,X215)
| r2_lattice3(X214,X218,esk38_3(X214,X215,X218)) )
& ( ~ l1_orders_2(X214)
| ~ v3_lattice3(X214)
| ~ v4_orders_2(X214)
| v3_struct_0(X214)
| ~ m1_subset_1(X215,u1_struct_0(X214))
| X215 = k1_yellow_0(X214,X218)
| ~ r2_lattice3(X214,X218,X215)
| m1_subset_1(esk38_3(X214,X215,X218),u1_struct_0(X214)) )
& ( ~ l1_orders_2(X214)
| ~ v3_lattice3(X214)
| ~ v4_orders_2(X214)
| v3_struct_0(X214)
| ~ m1_subset_1(X215,u1_struct_0(X214))
| X215 != k1_yellow_0(X214,X216)
| r1_orders_2(X214,X215,X217)
| ~ r2_lattice3(X214,X216,X217)
| ~ m1_subset_1(X217,u1_struct_0(X214)) )
& ( ~ l1_orders_2(X214)
| ~ v3_lattice3(X214)
| ~ v4_orders_2(X214)
| v3_struct_0(X214)
| ~ m1_subset_1(X215,u1_struct_0(X214))
| X215 != k1_yellow_0(X214,X216)
| r2_lattice3(X214,X216,X215) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_126])])])])])])]) ).
fof(c_0_132,plain,
! [X74,X75] :
( m1_subset_1(k1_yellow_0(X74,X75),u1_struct_0(X74))
| ~ l1_orders_2(X74) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_yellow_0])])]) ).
fof(c_0_133,plain,
! [X1] :
( ( l1_orders_2(X1)
& v2_yellow_0(X1)
& v2_lattice3(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1) )
=> ( v25_waybel_0(k2_yellow_1(k9_waybel_0(X1)))
& v24_waybel_0(k2_yellow_1(k9_waybel_0(X1)))
& v1_yellow_0(k2_yellow_1(k9_waybel_0(X1)))
& v3_lattice3(k2_yellow_1(k9_waybel_0(X1)))
& v2_lattice3(k2_yellow_1(k9_waybel_0(X1)))
& v4_orders_2(k2_yellow_1(k9_waybel_0(X1)))
& v3_orders_2(k2_yellow_1(k9_waybel_0(X1)))
& v2_orders_2(k2_yellow_1(k9_waybel_0(X1)))
& v1_orders_2(k2_yellow_1(k9_waybel_0(X1)))
& ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X1))) ) ),
inference(fof_simplification,[status(thm)],[fc2_waybel16]) ).
cnf(c_0_134,negated_conjecture,
( ~ r2_hidden(k4_yellow_0(esk2_0),X1)
| ~ r2_lattice3(esk2_0,X1,k1_yellow_0(esk2_0,a_4_0_waybel22(esk1_0,esk2_0,esk3_0,k4_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk1_0)))))))
| v3_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk1_0)))) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_119]),c_0_46])]),c_0_128]) ).
cnf(c_0_135,negated_conjecture,
r2_hidden(k4_yellow_0(esk2_0),a_4_0_waybel22(esk1_0,esk2_0,esk3_0,k4_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk1_0)))))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_46])]) ).
cnf(c_0_136,plain,
( ~ l1_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| X3 != k1_yellow_0(X1,X2)
| v3_struct_0(X1)
| r2_lattice3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_131]) ).
cnf(c_0_137,plain,
( ~ l1_orders_2(X1)
| m1_subset_1(k1_yellow_0(X1,X2),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_132]) ).
fof(c_0_138,plain,
! [X1] :
( v2_waybel_8(k3_yellow_1(X1))
& v1_waybel_8(k3_yellow_1(X1))
& v3_waybel_3(k3_yellow_1(X1))
& v2_waybel_3(k3_yellow_1(X1))
& v11_waybel_1(k3_yellow_1(X1))
& v10_waybel_1(k3_yellow_1(X1))
& v9_waybel_1(k3_yellow_1(X1))
& v2_waybel_1(k3_yellow_1(X1))
& v25_waybel_0(k3_yellow_1(X1))
& v24_waybel_0(k3_yellow_1(X1))
& v3_yellow_0(k3_yellow_1(X1))
& v2_yellow_0(k3_yellow_1(X1))
& v1_yellow_0(k3_yellow_1(X1))
& v3_lattice3(k3_yellow_1(X1))
& v2_lattice3(k3_yellow_1(X1))
& v1_lattice3(k3_yellow_1(X1))
& v4_orders_2(k3_yellow_1(X1))
& v3_orders_2(k3_yellow_1(X1))
& v2_orders_2(k3_yellow_1(X1))
& v1_orders_2(k3_yellow_1(X1))
& ~ v3_struct_0(k3_yellow_1(X1)) ),
inference(fof_simplification,[status(thm)],[fc14_waybel_8]) ).
fof(c_0_139,plain,
! [X123] :
( ( ~ l1_orders_2(X123)
| ~ v2_yellow_0(X123)
| ~ v2_lattice3(X123)
| ~ v4_orders_2(X123)
| ~ v3_orders_2(X123)
| ~ v2_orders_2(X123)
| v25_waybel_0(k2_yellow_1(k9_waybel_0(X123))) )
& ( ~ l1_orders_2(X123)
| ~ v2_yellow_0(X123)
| ~ v2_lattice3(X123)
| ~ v4_orders_2(X123)
| ~ v3_orders_2(X123)
| ~ v2_orders_2(X123)
| v24_waybel_0(k2_yellow_1(k9_waybel_0(X123))) )
& ( ~ l1_orders_2(X123)
| ~ v2_yellow_0(X123)
| ~ v2_lattice3(X123)
| ~ v4_orders_2(X123)
| ~ v3_orders_2(X123)
| ~ v2_orders_2(X123)
| v1_yellow_0(k2_yellow_1(k9_waybel_0(X123))) )
& ( ~ l1_orders_2(X123)
| ~ v2_yellow_0(X123)
| ~ v2_lattice3(X123)
| ~ v4_orders_2(X123)
| ~ v3_orders_2(X123)
| ~ v2_orders_2(X123)
| v3_lattice3(k2_yellow_1(k9_waybel_0(X123))) )
& ( ~ l1_orders_2(X123)
| ~ v2_yellow_0(X123)
| ~ v2_lattice3(X123)
| ~ v4_orders_2(X123)
| ~ v3_orders_2(X123)
| ~ v2_orders_2(X123)
| v2_lattice3(k2_yellow_1(k9_waybel_0(X123))) )
& ( ~ l1_orders_2(X123)
| ~ v2_yellow_0(X123)
| ~ v2_lattice3(X123)
| ~ v4_orders_2(X123)
| ~ v3_orders_2(X123)
| ~ v2_orders_2(X123)
| v4_orders_2(k2_yellow_1(k9_waybel_0(X123))) )
& ( ~ l1_orders_2(X123)
| ~ v2_yellow_0(X123)
| ~ v2_lattice3(X123)
| ~ v4_orders_2(X123)
| ~ v3_orders_2(X123)
| ~ v2_orders_2(X123)
| v3_orders_2(k2_yellow_1(k9_waybel_0(X123))) )
& ( ~ l1_orders_2(X123)
| ~ v2_yellow_0(X123)
| ~ v2_lattice3(X123)
| ~ v4_orders_2(X123)
| ~ v3_orders_2(X123)
| ~ v2_orders_2(X123)
| v2_orders_2(k2_yellow_1(k9_waybel_0(X123))) )
& ( ~ l1_orders_2(X123)
| ~ v2_yellow_0(X123)
| ~ v2_lattice3(X123)
| ~ v4_orders_2(X123)
| ~ v3_orders_2(X123)
| ~ v2_orders_2(X123)
| v1_orders_2(k2_yellow_1(k9_waybel_0(X123))) )
& ( ~ l1_orders_2(X123)
| ~ v2_yellow_0(X123)
| ~ v2_lattice3(X123)
| ~ v4_orders_2(X123)
| ~ v3_orders_2(X123)
| ~ v2_orders_2(X123)
| ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X123))) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_133])])])]) ).
cnf(c_0_140,negated_conjecture,
( ~ r2_lattice3(esk2_0,a_4_0_waybel22(esk1_0,esk2_0,esk3_0,k4_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk1_0))))),k1_yellow_0(esk2_0,a_4_0_waybel22(esk1_0,esk2_0,esk3_0,k4_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk1_0)))))))
| v3_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk1_0)))) ),
inference(spm,[status(thm)],[c_0_134,c_0_135]) ).
cnf(c_0_141,plain,
( ~ v4_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X1)
| r2_lattice3(X1,X2,k1_yellow_0(X1,X2)) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_136]),c_0_137]) ).
fof(c_0_142,plain,
! [X112] :
( v2_waybel_8(k3_yellow_1(X112))
& v1_waybel_8(k3_yellow_1(X112))
& v3_waybel_3(k3_yellow_1(X112))
& v2_waybel_3(k3_yellow_1(X112))
& v11_waybel_1(k3_yellow_1(X112))
& v10_waybel_1(k3_yellow_1(X112))
& v9_waybel_1(k3_yellow_1(X112))
& v2_waybel_1(k3_yellow_1(X112))
& v25_waybel_0(k3_yellow_1(X112))
& v24_waybel_0(k3_yellow_1(X112))
& v3_yellow_0(k3_yellow_1(X112))
& v2_yellow_0(k3_yellow_1(X112))
& v1_yellow_0(k3_yellow_1(X112))
& v3_lattice3(k3_yellow_1(X112))
& v2_lattice3(k3_yellow_1(X112))
& v1_lattice3(k3_yellow_1(X112))
& v4_orders_2(k3_yellow_1(X112))
& v3_orders_2(k3_yellow_1(X112))
& v2_orders_2(k3_yellow_1(X112))
& v1_orders_2(k3_yellow_1(X112))
& ~ v3_struct_0(k3_yellow_1(X112)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_138])]) ).
fof(c_0_143,plain,
! [X82] :
( l1_orders_2(k3_yellow_1(X82))
& v1_orders_2(k3_yellow_1(X82)) ),
inference(variable_rename,[status(thm)],[dt_k3_yellow_1]) ).
cnf(c_0_144,plain,
( ~ l1_orders_2(X1)
| ~ v2_yellow_0(X1)
| ~ v2_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_139]) ).
cnf(c_0_145,negated_conjecture,
v3_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk1_0)))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_46]),c_0_48]),c_0_49])]),c_0_52]) ).
cnf(c_0_146,plain,
v2_yellow_0(k3_yellow_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_142]) ).
cnf(c_0_147,plain,
v2_lattice3(k3_yellow_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_142]) ).
cnf(c_0_148,plain,
l1_orders_2(k3_yellow_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_143]) ).
cnf(c_0_149,plain,
v4_orders_2(k3_yellow_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_142]) ).
cnf(c_0_150,plain,
v3_orders_2(k3_yellow_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_142]) ).
cnf(c_0_151,plain,
v2_orders_2(k3_yellow_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_142]) ).
cnf(c_0_152,negated_conjecture,
$false,
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_144,c_0_145]),c_0_146]),c_0_147]),c_0_148]),c_0_149]),c_0_150]),c_0_151])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LAT350+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/0.44 % Computer : n016.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Sun Sep 20 23:50:38 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.45 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.26/0.52 Running first-order theorem proving
% 0.26/0.52 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 79.22/12.12 % Version: 3.5.1
% 79.22/12.12 % Preprocessing class: FSLSSMSSSSSNFFN.
% 79.22/12.12 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 79.22/12.12 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 79.22/12.12 % Starting new_bool_3 with 300s (1) cores
% 79.22/12.12 % Starting new_bool_1 with 300s (1) cores
% 79.22/12.12 % Starting sh5l with 300s (1) cores
% 79.22/12.12 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1089449 completed with status 0
% 79.22/12.12 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 79.22/12.12 % Preprocessing class: FSLSSMSSSSSNFFN.
% 79.22/12.12 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 79.22/12.12 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 79.22/12.12 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 79.22/12.12 % No SInE strategy applied
% 79.22/12.12 % Search class: FGHSM-FSLM32-DFFFFFNN
% 79.22/12.12 % Scheduled 12 strats onto 5 cores with 1500 seconds (1500 total)
% 79.22/12.12 % Starting SubtermCWHack with 151s (1) cores
% 79.22/12.12 % Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 125s (1) cores
% 79.22/12.12 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 125s (1) cores
% 79.22/12.12 % Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 125s (1) cores
% 79.22/12.12 % Starting U----_206c_05_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 125s (1) cores
% 79.22/12.12 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1089458 completed with status 0
% 79.22/12.12 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 79.22/12.12 % Preprocessing class: FSLSSMSSSSSNFFN.
% 79.22/12.12 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 79.22/12.12 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 79.22/12.12 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 79.22/12.12 % No SInE strategy applied
% 79.22/12.12 % Search class: FGHSM-FSLM32-DFFFFFNN
% 79.22/12.12 % Scheduled 12 strats onto 5 cores with 1500 seconds (1500 total)
% 79.22/12.12 % Starting SubtermCWHack with 151s (1) cores
% 79.22/12.12 % Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 125s (1) cores
% 79.22/12.12 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 125s (1) cores
% 79.22/12.12 % Preprocessing time : 0.009 s
% 79.22/12.12 % Presaturation interreduction done
% 79.22/12.12
% 79.22/12.12 % Proof found!
% 79.22/12.12 % SZS status Theorem
% 79.22/12.12 % SZS output start CNFRefutation
% See solution above
% 79.22/12.12 % Parsed axioms : 135
% 79.22/12.12 % Removed by relevancy pruning/SinE : 0
% 79.22/12.12 % Initial clauses : 449
% 79.22/12.12 % Removed in clause preprocessing : 71
% 79.22/12.12 % Initial clauses in saturation : 378
% 79.22/12.12 % Processed clauses : 16683
% 79.22/12.12 % ...of these trivial : 28
% 79.22/12.12 % ...subsumed : 10671
% 79.22/12.12 % ...remaining for further processing : 5984
% 79.22/12.12 % Other redundant clauses eliminated : 34
% 79.22/12.12 % Clauses deleted for lack of memory : 0
% 79.22/12.12 % Backward-subsumed : 151
% 79.22/12.12 % Backward-rewritten : 470
% 79.22/12.12 % Generated clauses : 100386
% 79.22/12.12 % ...of the previous two non-redundant : 99177
% 79.22/12.12 % ...aggressively subsumed : 0
% 79.22/12.12 % Contextual simplify-reflections : 163
% 79.22/12.12 % Paramodulations : 100350
% 79.22/12.12 % Factorizations : 2
% 79.22/12.12 % NegExts : 0
% 79.22/12.12 % Equation resolutions : 36
% 79.22/12.12 % Disequality decompositions : 0
% 79.22/12.12 % Total rewrite steps : 10484
% 79.22/12.12 % ...of those cached : 10227
% 79.22/12.12 % Propositional unsat checks : 1
% 79.22/12.12 % Propositional check models : 0
% 79.22/12.12 % Propositional check unsatisfiable : 0
% 79.22/12.12 % Propositional clauses : 0
% 79.22/12.12 % Propositional clauses after purity: 0
% 79.22/12.12 % Propositional unsat core size : 0
% 79.22/12.12 % Propositional preprocessing time : 0.000
% 79.22/12.12 % Propositional encoding time : 0.305
% 79.22/12.12 % Propositional solver time : 0.117
% 79.22/12.12 % Success case prop preproc time : 0.000
% 79.22/12.12 % Success case prop encoding time : 0.000
% 79.22/12.12 % Success case prop solver time : 0.000
% 79.22/12.12 % Current number of processed clauses : 5014
% 79.22/12.12 % Positive orientable unit clauses : 236
% 79.22/12.12 % Positive unorientable unit clauses: 0
% 79.22/12.12 % Negative unit clauses : 35
% 79.22/12.12 % Non-unit-clauses : 4743
% 79.22/12.12 % Current number of unprocessed clauses: 83044
% 79.22/12.12 % ...number of literals in the above : 535624
% 79.22/12.12 % Current number of archived formulas : 0
% 79.22/12.12 % Current number of archived clauses : 964
% 79.22/12.12 % Clause-clause subsumption calls (NU) : 11548021
% 79.22/12.12 % Rec. Clause-clause subsumption calls : 1147640
% 79.22/12.12 % Non-unit clause-clause subsumptions : 9596
% 79.22/12.12 % Unit Clause-clause subsumption calls : 40612
% 79.22/12.12 % Rewrite failures with RHS unbound : 0
% 79.22/12.12 % BW rewrite match attempts : 134
% 79.22/12.12 % BW rewrite match successes : 6
% 79.22/12.12 % Condensation attempts : 0
% 79.22/12.12 % Condensation successes : 0
% 79.22/12.12 % Termbank termtop insertions : 3856106
% 79.22/12.12 % Search garbage collected termcells : 4706
% 79.22/12.12
% 79.22/12.12 % -------------------------------------------------
% 79.22/12.12 % User time : 11.172 s
% 79.22/12.12 % System time : 0.159 s
% 79.22/12.12 % Total time : 11.332 s
% 79.22/12.12 % Maximum resident set size: 4836 pages
% 79.22/12.12
% 79.22/12.12 % -------------------------------------------------
% 79.22/12.12 % User time : 54.937 s
% 79.22/12.12 % System time : 1.036 s
% 79.22/12.12 % Total time : 55.973 s
% 79.22/12.12 % Maximum resident set size: 5120 pages
% 79.22/12.12 % E exiting
%------------------------------------------------------------------------------