%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LAT358+1 : TPTP v9.2.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n001.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 04:38:18 PM UTC 2026
% Result : Theorem 167.87s 86.82s
% Output : CNFRefutation 183.88s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_156)
% Comments :
%------------------------------------------------------------------------------
fof(t9_waybel34,conjecture,
! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v1_lattice3(X2)
& v2_lattice3(X2)
& v3_lattice3(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( ( v2_orders_2(X3)
& v3_orders_2(X3)
& v4_orders_2(X3)
& v1_lattice3(X3)
& v2_lattice3(X3)
& v3_lattice3(X3)
& l1_orders_2(X3) )
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
& v18_waybel_0(X4,X1,X2)
& m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2)) )
=> ! [X5] :
( ( v1_funct_1(X5)
& v1_funct_2(X5,u1_struct_0(X2),u1_struct_0(X3))
& v18_waybel_0(X5,X2,X3)
& m2_relset_1(X5,u1_struct_0(X2),u1_struct_0(X3)) )
=> k2_waybel34(X3,X1,k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X3),X4,X5)) = k7_funct_2(u1_struct_0(X3),u1_struct_0(X2),u1_struct_0(X1),k2_waybel34(X3,X2,X5),k2_waybel34(X2,X1,X4)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_waybel34) ).
fof(t28_waybel20,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( ( ~ v3_struct_0(X3)
& l1_orders_2(X3) )
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2)) )
=> ! [X5] :
( ( v1_funct_1(X5)
& v1_funct_2(X5,u1_struct_0(X2),u1_struct_0(X3))
& m2_relset_1(X5,u1_struct_0(X2),u1_struct_0(X3)) )
=> ( ( v18_waybel_0(X4,X1,X2)
& v18_waybel_0(X5,X2,X3) )
=> v18_waybel_0(k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X3),X4,X5),X1,X3) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t28_waybel20) ).
fof(dt_k7_funct_2,axiom,
! [X1,X2,X3,X4,X5] :
( ( ~ v1_xboole_0(X2)
& v1_funct_1(X4)
& v1_funct_2(X4,X1,X2)
& m1_relset_1(X4,X1,X2)
& v1_funct_1(X5)
& v1_funct_2(X5,X2,X3)
& m1_relset_1(X5,X2,X3) )
=> ( v1_funct_1(k7_funct_2(X1,X2,X3,X4,X5))
& v1_funct_2(k7_funct_2(X1,X2,X3,X4,X5),X1,X3)
& m2_relset_1(k7_funct_2(X1,X2,X3,X4,X5),X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_funct_2) ).
fof(redefinition_k7_funct_2,axiom,
! [X1,X2,X3,X4,X5] :
( ( ~ v1_xboole_0(X2)
& v1_funct_1(X4)
& v1_funct_2(X4,X1,X2)
& m1_relset_1(X4,X1,X2)
& v1_funct_1(X5)
& v1_funct_2(X5,X2,X3)
& m1_relset_1(X5,X2,X3) )
=> k7_funct_2(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k7_funct_2) ).
fof(redefinition_k1_waybel_1,axiom,
! [X1,X2,X3,X4] :
( ( l1_orders_2(X1)
& l1_orders_2(X2)
& v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X4)
& v1_funct_2(X4,u1_struct_0(X2),u1_struct_0(X1))
& m1_relset_1(X4,u1_struct_0(X2),u1_struct_0(X1)) )
=> k1_waybel_1(X1,X2,X3,X4) = k4_tarski(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k1_waybel_1) ).
fof(d5_tarski,axiom,
! [X1,X2] : k4_tarski(X1,X2) = k2_tarski(k2_tarski(X1,X2),k1_tarski(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_tarski) ).
fof(fc2_waybel34,axiom,
! [X1,X2,X3] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& l1_orders_2(X1)
& v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v1_lattice3(X2)
& v2_lattice3(X2)
& v3_lattice3(X2)
& l1_orders_2(X2)
& v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
& v18_waybel_0(X3,X2,X1)
& m1_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) )
=> ( v1_relat_1(k2_waybel34(X1,X2,X3))
& v1_funct_1(k2_waybel34(X1,X2,X3))
& ~ v1_xboole_0(k2_waybel34(X1,X2,X3))
& v1_funct_2(k2_waybel34(X1,X2,X3),u1_struct_0(X1),u1_struct_0(X2))
& v1_partfun1(k2_waybel34(X1,X2,X3),u1_struct_0(X1),u1_struct_0(X2))
& v17_waybel_0(k2_waybel34(X1,X2,X3),X1,X2)
& v19_waybel_0(k2_waybel34(X1,X2,X3),X1,X2)
& v21_waybel_0(k2_waybel34(X1,X2,X3),X1,X2)
& v4_waybel_1(k2_waybel34(X1,X2,X3),X1,X2)
& v5_orders_3(k2_waybel34(X1,X2,X3),X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_waybel34) ).
fof(cc1_waybel_1,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& l1_orders_2(X1)
& ~ v3_struct_0(X2)
& v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
=> ( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v4_waybel_1(X3,X1,X2) )
=> ( v1_funct_1(X3)
& ~ v1_xboole_0(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_partfun1(X3,u1_struct_0(X1),u1_struct_0(X2))
& v17_waybel_0(X3,X1,X2)
& v19_waybel_0(X3,X1,X2)
& v21_waybel_0(X3,X1,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_waybel_1) ).
fof(cc1_waybel17,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v4_orders_2(X1)
& l1_orders_2(X1)
& ~ v3_struct_0(X2)
& v2_orders_2(X2)
& v4_orders_2(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
=> ( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v22_waybel_0(X3,X1,X2) )
=> ( ~ v1_xboole_0(X3)
& v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v5_orders_3(X3,X1,X2)
& v1_partfun1(X3,u1_struct_0(X1),u1_struct_0(X2)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_waybel17) ).
fof(cc7_waybel_0,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1)
& ~ v3_struct_0(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
=> ( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v18_waybel_0(X3,X1,X2) )
=> ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v20_waybel_0(X3,X1,X2)
& v22_waybel_0(X3,X1,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc7_waybel_0) ).
fof(cc6_waybel_0,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1)
& ~ v3_struct_0(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
=> ( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v17_waybel_0(X3,X1,X2) )
=> ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v19_waybel_0(X3,X1,X2)
& v21_waybel_0(X3,X1,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc6_waybel_0) ).
fof(rc4_yellow_9,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1)
& ~ v3_struct_0(X2)
& v2_orders_2(X2)
& v4_orders_2(X2)
& v1_yellow_0(X2)
& l1_orders_2(X2) )
=> ? [X3] :
( m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_relat_1(X3)
& v1_funct_1(X3)
& ~ v1_xboole_0(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v18_waybel_0(X3,X1,X2)
& v20_waybel_0(X3,X1,X2)
& v22_waybel_0(X3,X1,X2)
& v1_partfun1(X3,u1_struct_0(X1),u1_struct_0(X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc4_yellow_9) ).
fof(rc3_yellow_9,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1)
& ~ v3_struct_0(X2)
& v2_orders_2(X2)
& v4_orders_2(X2)
& v2_yellow_0(X2)
& l1_orders_2(X2) )
=> ? [X3] :
( m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_relat_1(X3)
& v1_funct_1(X3)
& ~ v1_xboole_0(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v17_waybel_0(X3,X1,X2)
& v19_waybel_0(X3,X1,X2)
& v21_waybel_0(X3,X1,X2)
& v1_partfun1(X3,u1_struct_0(X1),u1_struct_0(X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_yellow_9) ).
fof(rc1_waybel10,axiom,
! [X1,X2] :
( ( l1_orders_2(X1)
& ~ v3_struct_0(X2)
& v2_orders_2(X2)
& l1_orders_2(X2) )
=> ? [X3] :
( m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_relat_1(X3)
& v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_partfun1(X3,u1_struct_0(X1),u1_struct_0(X2))
& v5_orders_3(X3,X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_waybel10) ).
fof(cc1_yellow_2,axiom,
! [X1] :
( l1_orders_2(X1)
=> ( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v2_yellow_0(X1)
& v24_waybel_0(X1)
& v25_waybel_0(X1) )
=> ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_yellow_0(X1)
& v2_yellow_0(X1)
& v3_yellow_0(X1)
& v24_waybel_0(X1)
& v25_waybel_0(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_yellow_2) ).
fof(cc12_waybel_0,axiom,
! [X1] :
( l1_orders_2(X1)
=> ( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v1_yellow_0(X1)
& v24_waybel_0(X1) )
=> ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& v1_yellow_0(X1)
& v2_yellow_0(X1)
& v3_yellow_0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc12_waybel_0) ).
fof(fc3_setfam_1,axiom,
! [X1,X2] :
( ( ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X2) )
=> ( ~ v1_xboole_0(k2_tarski(X1,X2))
& v1_setfam_1(k2_tarski(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc3_setfam_1) ).
fof(rc5_struct_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc5_struct_0) ).
fof(fc2_finset_1,axiom,
! [X1,X2] :
( ~ v1_xboole_0(k2_tarski(X1,X2))
& v1_finset_1(k2_tarski(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_finset_1) ).
fof(antisymmetry_r2_hidden,axiom,
! [X1,X2] :
( r2_hidden(X1,X2)
=> ~ r2_hidden(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(cc14_waybel_0,axiom,
! [X1] :
( l1_orders_2(X1)
=> ( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v4_orders_2(X1)
& v2_yellow_0(X1)
& v25_waybel_0(X1) )
=> ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_yellow_0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc14_waybel_0) ).
fof(cc1_setfam_1,axiom,
! [X1] :
( ( ~ v1_xboole_0(X1)
& v1_setfam_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,X1)
=> ~ v1_xboole_0(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_setfam_1) ).
fof(t7_waybel15,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( ( ~ v3_struct_0(X3)
& v2_orders_2(X3)
& v3_orders_2(X3)
& v4_orders_2(X3)
& l1_orders_2(X3) )
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2)) )
=> ! [X5] :
( ( v1_funct_1(X5)
& v1_funct_2(X5,u1_struct_0(X2),u1_struct_0(X3))
& m2_relset_1(X5,u1_struct_0(X2),u1_struct_0(X3)) )
=> ! [X6] :
( ( v1_funct_1(X6)
& v1_funct_2(X6,u1_struct_0(X2),u1_struct_0(X1))
& m2_relset_1(X6,u1_struct_0(X2),u1_struct_0(X1)) )
=> ! [X7] :
( ( v1_funct_1(X7)
& v1_funct_2(X7,u1_struct_0(X3),u1_struct_0(X2))
& m2_relset_1(X7,u1_struct_0(X3),u1_struct_0(X2)) )
=> ( ( v3_waybel_1(k1_waybel_1(X1,X2,X4,X6),X1,X2)
& v3_waybel_1(k1_waybel_1(X2,X3,X5,X7),X2,X3) )
=> v3_waybel_1(k1_waybel_1(X1,X3,k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X3),X4,X5),k7_funct_2(u1_struct_0(X3),u1_struct_0(X2),u1_struct_0(X1),X7,X6)),X1,X3) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_waybel15) ).
fof(cc13_waybel_0,axiom,
! [X1] :
( l1_orders_2(X1)
=> ( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v4_orders_2(X1)
& v25_waybel_0(X1) )
=> ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v4_orders_2(X1)
& v2_lattice3(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc13_waybel_0) ).
fof(cc9_waybel_0,axiom,
! [X1] :
( l1_orders_2(X1)
=> ( ( v2_orders_2(X1)
& v1_lattice3(X1)
& v24_waybel_0(X1) )
=> ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v1_lattice3(X1)
& v2_yellow_0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc9_waybel_0) ).
fof(rc4_finset_1,axiom,
! [X1] :
( ~ v1_xboole_0(X1)
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
& ~ v1_xboole_0(X2)
& v1_finset_1(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc4_finset_1) ).
fof(rc3_finset_1,axiom,
! [X1] :
( ~ v1_xboole_0(X1)
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
& ~ v1_xboole_0(X2)
& v1_finset_1(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_finset_1) ).
fof(cc11_waybel_0,axiom,
! [X1] :
( l1_orders_2(X1)
=> ( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v25_waybel_0(X1) )
=> ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v1_yellow_0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc11_waybel_0) ).
fof(cc10_waybel_0,axiom,
! [X1] :
( l1_orders_2(X1)
=> ( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_lattice3(X1) )
=> ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v24_waybel_0(X1)
& v25_waybel_0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc10_waybel_0) ).
fof(fc1_struct_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(cc3_yellow_0,axiom,
! [X1] :
( l1_orders_2(X1)
=> ( ( ~ v3_struct_0(X1)
& v3_lattice3(X1) )
=> ( ~ v3_struct_0(X1)
& v3_yellow_0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc3_yellow_0) ).
fof(cc1_yellow_0,axiom,
! [X1] :
( l1_orders_2(X1)
=> ( ( ~ v3_struct_0(X1)
& v3_lattice3(X1) )
=> ( ~ v3_struct_0(X1)
& v1_lattice3(X1)
& v2_lattice3(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_yellow_0) ).
fof(cc2_lattice3,axiom,
! [X1] :
( l1_orders_2(X1)
=> ( v2_lattice3(X1)
=> ~ v3_struct_0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_lattice3) ).
fof(cc1_lattice3,axiom,
! [X1] :
( l1_orders_2(X1)
=> ( v1_lattice3(X1)
=> ~ v3_struct_0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_lattice3) ).
fof(fc2_setfam_1,axiom,
! [X1] :
( ~ v1_xboole_0(X1)
=> ( ~ v1_xboole_0(k1_tarski(X1))
& v1_setfam_1(k1_tarski(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_setfam_1) ).
fof(fc1_finset_1,axiom,
! [X1] :
( ~ v1_xboole_0(k1_tarski(X1))
& v1_finset_1(k1_tarski(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_finset_1) ).
fof(rc1_setfam_1,axiom,
? [X1] :
( ~ v1_xboole_0(X1)
& v1_setfam_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_setfam_1) ).
fof(rc1_membered,axiom,
? [X1] :
( ~ v1_xboole_0(X1)
& v1_membered(X1)
& v2_membered(X1)
& v3_membered(X1)
& v4_membered(X1)
& v5_membered(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_membered) ).
fof(rc1_finset_1,axiom,
? [X1] :
( ~ v1_xboole_0(X1)
& v1_finset_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_finset_1) ).
fof(rc3_struct_0,axiom,
? [X1] :
( l1_struct_0(X1)
& ~ v3_struct_0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_struct_0) ).
fof(rc2_yellow_0,axiom,
? [X1] :
( l1_orders_2(X1)
& ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& v1_yellow_0(X1)
& v2_yellow_0(X1)
& v3_yellow_0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_yellow_0) ).
fof(d2_waybel34,axiom,
! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v1_lattice3(X2)
& v2_lattice3(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
& m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) )
=> ( ( v3_lattice3(X1)
& v3_lattice3(X2)
& v18_waybel_0(X3,X2,X1) )
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( X4 = k2_waybel34(X1,X2,X3)
<=> v3_waybel_1(k1_waybel_1(X1,X2,X4,X3),X1,X2) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_waybel34) ).
fof(dt_k1_waybel_1,axiom,
! [X1,X2,X3,X4] :
( ( l1_orders_2(X1)
& l1_orders_2(X2)
& v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X4)
& v1_funct_2(X4,u1_struct_0(X2),u1_struct_0(X1))
& m1_relset_1(X4,u1_struct_0(X2),u1_struct_0(X1)) )
=> m1_waybel_1(k1_waybel_1(X1,X2,X3,X4),X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_waybel_1) ).
fof(dt_k2_waybel34,axiom,
! [X1,X2,X3] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& l1_orders_2(X1)
& v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v1_lattice3(X2)
& v2_lattice3(X2)
& l1_orders_2(X2)
& v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
& m1_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) )
=> ( v1_funct_1(k2_waybel34(X1,X2,X3))
& v1_funct_2(k2_waybel34(X1,X2,X3),u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(k2_waybel34(X1,X2,X3),u1_struct_0(X1),u1_struct_0(X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_waybel34) ).
fof(cc1_waybel21,axiom,
! [X1,X2] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v2_lattice3(X1)
& l1_orders_2(X1)
& v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v2_lattice3(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
=> ( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v19_waybel_0(X3,X1,X2) )
=> ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v5_orders_3(X3,X1,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_waybel21) ).
fof(rc1_waybel34,axiom,
! [X1,X2] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& l1_orders_2(X1)
& v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v1_lattice3(X2)
& v2_lattice3(X2)
& v3_lattice3(X2)
& l1_orders_2(X2) )
=> ? [X3] :
( m1_waybel_1(X3,X1,X2)
& v3_waybel_1(X3,X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_waybel34) ).
fof(rc1_lattice5,axiom,
! [X1,X2] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& l1_orders_2(X1)
& v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v1_lattice3(X2)
& v2_lattice3(X2)
& l1_orders_2(X2) )
=> ? [X3] :
( m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_relat_1(X3)
& v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v19_waybel_0(X3,X1,X2)
& v20_waybel_0(X3,X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_lattice5) ).
fof(dt_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
=> m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_relset_1) ).
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(cc1_relset_1,axiom,
! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
=> v1_relat_1(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(existence_m1_waybel_1,axiom,
! [X1,X2] :
( ( l1_orders_2(X1)
& l1_orders_2(X2) )
=> ? [X3] : m1_waybel_1(X3,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_waybel_1) ).
fof(existence_m1_relset_1,axiom,
! [X1,X2] :
? [X3] : m1_relset_1(X3,X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_relset_1) ).
fof(existence_m2_relset_1,axiom,
! [X1,X2] :
? [X3] : m2_relset_1(X3,X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m2_relset_1) ).
fof(t4_subset,axiom,
! [X1,X2,X3] :
( ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3)) )
=> m1_subset_1(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(t5_subset,axiom,
! [X1,X2,X3] :
~ ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3))
& v1_xboole_0(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_subset) ).
fof(fc1_funct_1,axiom,
! [X1,X2] :
( ( v1_relat_1(X1)
& v1_funct_1(X1)
& v1_relat_1(X2)
& v1_funct_1(X2) )
=> ( v1_relat_1(k5_relat_1(X1,X2))
& v1_funct_1(k5_relat_1(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_funct_1) ).
fof(t3_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
<=> r1_tarski(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
fof(dt_k5_relat_1,axiom,
! [X1,X2] :
( ( v1_relat_1(X1)
& v1_relat_1(X2) )
=> v1_relat_1(k5_relat_1(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_relat_1) ).
fof(fc14_finset_1,axiom,
! [X1,X2] :
( ( v1_finset_1(X1)
& v1_finset_1(X2) )
=> v1_finset_1(k2_zfmisc_1(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc14_finset_1) ).
fof(fc16_membered,axiom,
! [X1,X2] :
( ( v4_ordinal2(X1)
& v4_ordinal2(X2) )
=> ( v1_membered(k2_tarski(X1,X2))
& v2_membered(k2_tarski(X1,X2))
& v3_membered(k2_tarski(X1,X2))
& v4_membered(k2_tarski(X1,X2))
& v5_membered(k2_tarski(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc16_membered) ).
fof(fc15_membered,axiom,
! [X1,X2] :
( ( v1_int_1(X1)
& v1_int_1(X2) )
=> ( v1_membered(k2_tarski(X1,X2))
& v2_membered(k2_tarski(X1,X2))
& v3_membered(k2_tarski(X1,X2))
& v4_membered(k2_tarski(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc15_membered) ).
fof(fc14_membered,axiom,
! [X1,X2] :
( ( v1_rat_1(X1)
& v1_rat_1(X2) )
=> ( v1_membered(k2_tarski(X1,X2))
& v2_membered(k2_tarski(X1,X2))
& v3_membered(k2_tarski(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc14_membered) ).
fof(fc13_membered,axiom,
! [X1,X2] :
( ( v1_xreal_0(X1)
& v1_xreal_0(X2) )
=> ( v1_membered(k2_tarski(X1,X2))
& v2_membered(k2_tarski(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc13_membered) ).
fof(fc12_membered,axiom,
! [X1,X2] :
( ( v1_xcmplx_0(X1)
& v1_xcmplx_0(X2) )
=> v1_membered(k2_tarski(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc12_membered) ).
fof(cc2_finset_1,axiom,
! [X1] :
( v1_finset_1(X1)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
=> v1_finset_1(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_finset_1) ).
fof(cc20_membered,axiom,
! [X1] :
( v5_membered(X1)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
=> ( v1_membered(X2)
& v2_membered(X2)
& v3_membered(X2)
& v4_membered(X2)
& v5_membered(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc20_membered) ).
fof(cc19_membered,axiom,
! [X1] :
( v4_membered(X1)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
=> ( v1_membered(X2)
& v2_membered(X2)
& v3_membered(X2)
& v4_membered(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc19_membered) ).
fof(cc18_membered,axiom,
! [X1] :
( v3_membered(X1)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
=> ( v1_membered(X2)
& v2_membered(X2)
& v3_membered(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc18_membered) ).
fof(cc17_membered,axiom,
! [X1] :
( v2_membered(X1)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
=> ( v1_membered(X2)
& v2_membered(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc17_membered) ).
fof(cc16_membered,axiom,
! [X1] :
( v1_membered(X1)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
=> v1_membered(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc16_membered) ).
fof(t2_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,X2)
=> ( v1_xboole_0(X2)
| r2_hidden(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
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(cc14_membered,axiom,
! [X1] :
( v5_membered(X1)
=> ! [X2] :
( m1_subset_1(X2,X1)
=> ( v1_xcmplx_0(X2)
& v4_ordinal2(X2)
& v1_xreal_0(X2)
& v1_int_1(X2)
& v1_rat_1(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc14_membered) ).
fof(cc13_membered,axiom,
! [X1] :
( v4_membered(X1)
=> ! [X2] :
( m1_subset_1(X2,X1)
=> ( v1_xcmplx_0(X2)
& v1_xreal_0(X2)
& v1_int_1(X2)
& v1_rat_1(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc13_membered) ).
fof(cc12_membered,axiom,
! [X1] :
( v3_membered(X1)
=> ! [X2] :
( m1_subset_1(X2,X1)
=> ( v1_xcmplx_0(X2)
& v1_xreal_0(X2)
& v1_rat_1(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc12_membered) ).
fof(cc11_membered,axiom,
! [X1] :
( v2_membered(X1)
=> ! [X2] :
( m1_subset_1(X2,X1)
=> ( v1_xcmplx_0(X2)
& v1_xreal_0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc11_membered) ).
fof(cc10_membered,axiom,
! [X1] :
( v1_membered(X1)
=> ! [X2] :
( m1_subset_1(X2,X1)
=> v1_xcmplx_0(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc10_membered) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( r2_hidden(X1,X2)
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
fof(commutativity_k2_tarski,axiom,
! [X1,X2] : k2_tarski(X1,X2) = k2_tarski(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(cc2_funct_1,axiom,
! [X1] :
( ( v1_relat_1(X1)
& v1_xboole_0(X1)
& v1_funct_1(X1) )
=> ( v1_relat_1(X1)
& v1_funct_1(X1)
& v2_funct_1(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_funct_1) ).
fof(cc5_yellow_0,axiom,
! [X1] :
( l1_orders_2(X1)
=> ( ( v1_yellow_0(X1)
& v2_yellow_0(X1) )
=> v3_yellow_0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc5_yellow_0) ).
fof(existence_m1_subset_1,axiom,
! [X1] :
? [X2] : m1_subset_1(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(cc4_yellow_0,axiom,
! [X1] :
( l1_orders_2(X1)
=> ( v3_yellow_0(X1)
=> ( v1_yellow_0(X1)
& v2_yellow_0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc4_yellow_0) ).
fof(fc11_membered,axiom,
! [X1] :
( v4_ordinal2(X1)
=> ( v1_membered(k1_tarski(X1))
& v2_membered(k1_tarski(X1))
& v3_membered(k1_tarski(X1))
& v4_membered(k1_tarski(X1))
& v5_membered(k1_tarski(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc11_membered) ).
fof(fc10_membered,axiom,
! [X1] :
( v1_int_1(X1)
=> ( v1_membered(k1_tarski(X1))
& v2_membered(k1_tarski(X1))
& v3_membered(k1_tarski(X1))
& v4_membered(k1_tarski(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc10_membered) ).
fof(fc9_membered,axiom,
! [X1] :
( v1_rat_1(X1)
=> ( v1_membered(k1_tarski(X1))
& v2_membered(k1_tarski(X1))
& v3_membered(k1_tarski(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc9_membered) ).
fof(fc8_membered,axiom,
! [X1] :
( v1_xreal_0(X1)
=> ( v1_membered(k1_tarski(X1))
& v2_membered(k1_tarski(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc8_membered) ).
fof(fc7_membered,axiom,
! [X1] :
( v1_xcmplx_0(X1)
=> v1_membered(k1_tarski(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc7_membered) ).
fof(t8_boole,axiom,
! [X1,X2] :
~ ( v1_xboole_0(X1)
& X1 != X2
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_boole) ).
fof(reflexivity_r1_tarski,axiom,
! [X1,X2] : r1_tarski(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
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(cc1_finset_1,axiom,
! [X1] :
( v1_xboole_0(X1)
=> v1_finset_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_finset_1) ).
fof(cc15_membered,axiom,
! [X1] :
( v1_xboole_0(X1)
=> ( v1_membered(X1)
& v2_membered(X1)
& v3_membered(X1)
& v4_membered(X1)
& v5_membered(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc15_membered) ).
fof(cc1_membered,axiom,
! [X1] :
( v5_membered(X1)
=> v4_membered(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_membered) ).
fof(cc2_membered,axiom,
! [X1] :
( v4_membered(X1)
=> v3_membered(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_membered) ).
fof(cc3_membered,axiom,
! [X1] :
( v3_membered(X1)
=> v2_membered(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc3_membered) ).
fof(cc4_membered,axiom,
! [X1] :
( v2_membered(X1)
=> v1_membered(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc4_membered) ).
fof(cc1_funct_1,axiom,
! [X1] :
( v1_xboole_0(X1)
=> v1_funct_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_funct_1) ).
fof(t6_boole,axiom,
! [X1] :
( v1_xboole_0(X1)
=> X1 = k1_xboole_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
fof(existence_l1_struct_0,axiom,
? [X1] : l1_struct_0(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_l1_struct_0) ).
fof(rc3_funct_1,axiom,
? [X1] :
( v1_relat_1(X1)
& v1_funct_1(X1)
& v2_funct_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_funct_1) ).
fof(rc2_funct_1,axiom,
? [X1] :
( v1_relat_1(X1)
& v1_xboole_0(X1)
& v1_funct_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_funct_1) ).
fof(rc1_funct_1,axiom,
? [X1] :
( v1_relat_1(X1)
& v1_funct_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_funct_1) ).
fof(existence_l1_orders_2,axiom,
? [X1] : l1_orders_2(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_l1_orders_2) ).
fof(fc6_membered,axiom,
( v1_xboole_0(k1_xboole_0)
& v1_membered(k1_xboole_0)
& v2_membered(k1_xboole_0)
& v3_membered(k1_xboole_0)
& v4_membered(k1_xboole_0)
& v5_membered(k1_xboole_0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_membered) ).
fof(i_0_105,plain,
! [X1] :
( epred1_1(X1)
<=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( ( ~ v3_struct_0(X3)
& v2_orders_2(X3)
& v3_orders_2(X3)
& v4_orders_2(X3)
& l1_orders_2(X3) )
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2)) )
=> ! [X5] :
( ( v1_funct_1(X5)
& v1_funct_2(X5,u1_struct_0(X2),u1_struct_0(X3))
& m2_relset_1(X5,u1_struct_0(X2),u1_struct_0(X3)) )
=> ! [X6] :
( ( v1_funct_1(X6)
& v1_funct_2(X6,u1_struct_0(X2),u1_struct_0(X1))
& m2_relset_1(X6,u1_struct_0(X2),u1_struct_0(X1)) )
=> ! [X7] :
( ( v1_funct_1(X7)
& v1_funct_2(X7,u1_struct_0(X3),u1_struct_0(X2))
& m2_relset_1(X7,u1_struct_0(X3),u1_struct_0(X2)) )
=> ( ( v3_waybel_1(k1_waybel_1(X1,X2,X4,X6),X1,X2)
& v3_waybel_1(k1_waybel_1(X2,X3,X5,X7),X2,X3) )
=> v3_waybel_1(k1_waybel_1(X1,X3,k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X3),X4,X5),k7_funct_2(u1_struct_0(X3),u1_struct_0(X2),u1_struct_0(X1),X7,X6)),X1,X3) ) ) ) ) ) ) ) ),
introduced(definition) ).
fof(i_0_106,plain,
! [X1] :
( epred1_1(X1)
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( ( ~ v3_struct_0(X3)
& v2_orders_2(X3)
& v3_orders_2(X3)
& v4_orders_2(X3)
& l1_orders_2(X3) )
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2)) )
=> ! [X5] :
( ( v1_funct_1(X5)
& v1_funct_2(X5,u1_struct_0(X2),u1_struct_0(X3))
& m2_relset_1(X5,u1_struct_0(X2),u1_struct_0(X3)) )
=> ! [X6] :
( ( v1_funct_1(X6)
& v1_funct_2(X6,u1_struct_0(X2),u1_struct_0(X1))
& m2_relset_1(X6,u1_struct_0(X2),u1_struct_0(X1)) )
=> ! [X7] :
( ( v1_funct_1(X7)
& v1_funct_2(X7,u1_struct_0(X3),u1_struct_0(X2))
& m2_relset_1(X7,u1_struct_0(X3),u1_struct_0(X2)) )
=> ( ( v3_waybel_1(k1_waybel_1(X1,X2,X4,X6),X1,X2)
& v3_waybel_1(k1_waybel_1(X2,X3,X5,X7),X2,X3) )
=> v3_waybel_1(k1_waybel_1(X1,X3,k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X3),X4,X5),k7_funct_2(u1_struct_0(X3),u1_struct_0(X2),u1_struct_0(X1),X7,X6)),X1,X3) ) ) ) ) ) ) ) ),
inference(split_equiv,[status(thm)],[i_0_105]) ).
fof(i_0_107,negated_conjecture,
~ ! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v1_lattice3(X2)
& v2_lattice3(X2)
& v3_lattice3(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( ( v2_orders_2(X3)
& v3_orders_2(X3)
& v4_orders_2(X3)
& v1_lattice3(X3)
& v2_lattice3(X3)
& v3_lattice3(X3)
& l1_orders_2(X3) )
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
& v18_waybel_0(X4,X1,X2)
& m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2)) )
=> ! [X5] :
( ( v1_funct_1(X5)
& v1_funct_2(X5,u1_struct_0(X2),u1_struct_0(X3))
& v18_waybel_0(X5,X2,X3)
& m2_relset_1(X5,u1_struct_0(X2),u1_struct_0(X3)) )
=> k2_waybel34(X3,X1,k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X3),X4,X5)) = k7_funct_2(u1_struct_0(X3),u1_struct_0(X2),u1_struct_0(X1),k2_waybel34(X3,X2,X5),k2_waybel34(X2,X1,X4)) ) ) ) ) ),
inference(assume_negation,[status(cth)],[t9_waybel34]) ).
fof(i_0_108,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( ( ~ v3_struct_0(X3)
& l1_orders_2(X3) )
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2)) )
=> ! [X5] :
( ( v1_funct_1(X5)
& v1_funct_2(X5,u1_struct_0(X2),u1_struct_0(X3))
& m2_relset_1(X5,u1_struct_0(X2),u1_struct_0(X3)) )
=> ( ( v18_waybel_0(X4,X1,X2)
& v18_waybel_0(X5,X2,X3) )
=> v18_waybel_0(k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X3),X4,X5),X1,X3) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t28_waybel20]) ).
fof(i_0_109,plain,
! [X1,X2,X3,X4,X5] :
( ( ~ v1_xboole_0(X2)
& v1_funct_1(X4)
& v1_funct_2(X4,X1,X2)
& m1_relset_1(X4,X1,X2)
& v1_funct_1(X5)
& v1_funct_2(X5,X2,X3)
& m1_relset_1(X5,X2,X3) )
=> ( v1_funct_1(k7_funct_2(X1,X2,X3,X4,X5))
& v1_funct_2(k7_funct_2(X1,X2,X3,X4,X5),X1,X3)
& m2_relset_1(k7_funct_2(X1,X2,X3,X4,X5),X1,X3) ) ),
inference(fof_simplification,[status(thm)],[dt_k7_funct_2]) ).
fof(i_0_110,plain,
! [X1,X2,X3,X4,X5] :
( ( ~ v1_xboole_0(X2)
& v1_funct_1(X4)
& v1_funct_2(X4,X1,X2)
& m1_relset_1(X4,X1,X2)
& v1_funct_1(X5)
& v1_funct_2(X5,X2,X3)
& m1_relset_1(X5,X2,X3) )
=> k7_funct_2(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5) ),
inference(fof_simplification,[status(thm)],[redefinition_k7_funct_2]) ).
fof(i_0_111,plain,
! [X385,X386,X387,X388] :
( ~ l1_orders_2(X385)
| ~ l1_orders_2(X386)
| ~ v1_funct_1(X387)
| ~ v1_funct_2(X387,u1_struct_0(X385),u1_struct_0(X386))
| ~ m1_relset_1(X387,u1_struct_0(X385),u1_struct_0(X386))
| ~ v1_funct_1(X388)
| ~ v1_funct_2(X388,u1_struct_0(X386),u1_struct_0(X385))
| ~ m1_relset_1(X388,u1_struct_0(X386),u1_struct_0(X385))
| k1_waybel_1(X385,X386,X387,X388) = k4_tarski(X387,X388) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k1_waybel_1])]) ).
fof(i_0_112,plain,
! [X294,X295] : k4_tarski(X294,X295) = k2_tarski(k2_tarski(X294,X295),k1_tarski(X294)),
inference(variable_rename,[status(thm)],[d5_tarski]) ).
fof(i_0_113,plain,
! [X1,X2,X3] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& l1_orders_2(X1)
& v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v1_lattice3(X2)
& v2_lattice3(X2)
& v3_lattice3(X2)
& l1_orders_2(X2)
& v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
& v18_waybel_0(X3,X2,X1)
& m1_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) )
=> ( v1_relat_1(k2_waybel34(X1,X2,X3))
& v1_funct_1(k2_waybel34(X1,X2,X3))
& ~ v1_xboole_0(k2_waybel34(X1,X2,X3))
& v1_funct_2(k2_waybel34(X1,X2,X3),u1_struct_0(X1),u1_struct_0(X2))
& v1_partfun1(k2_waybel34(X1,X2,X3),u1_struct_0(X1),u1_struct_0(X2))
& v17_waybel_0(k2_waybel34(X1,X2,X3),X1,X2)
& v19_waybel_0(k2_waybel34(X1,X2,X3),X1,X2)
& v21_waybel_0(k2_waybel34(X1,X2,X3),X1,X2)
& v4_waybel_1(k2_waybel34(X1,X2,X3),X1,X2)
& v5_orders_3(k2_waybel34(X1,X2,X3),X1,X2) ) ),
inference(fof_simplification,[status(thm)],[fc2_waybel34]) ).
fof(i_0_114,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& l1_orders_2(X1)
& ~ v3_struct_0(X2)
& v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
=> ( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v4_waybel_1(X3,X1,X2) )
=> ( v1_funct_1(X3)
& ~ v1_xboole_0(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_partfun1(X3,u1_struct_0(X1),u1_struct_0(X2))
& v17_waybel_0(X3,X1,X2)
& v19_waybel_0(X3,X1,X2)
& v21_waybel_0(X3,X1,X2) ) ) ) ),
inference(fof_simplification,[status(thm)],[cc1_waybel_1]) ).
fof(i_0_115,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v4_orders_2(X1)
& l1_orders_2(X1)
& ~ v3_struct_0(X2)
& v2_orders_2(X2)
& v4_orders_2(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
=> ( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v22_waybel_0(X3,X1,X2) )
=> ( ~ v1_xboole_0(X3)
& v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v5_orders_3(X3,X1,X2)
& v1_partfun1(X3,u1_struct_0(X1),u1_struct_0(X2)) ) ) ) ),
inference(fof_simplification,[status(thm)],[cc1_waybel17]) ).
fof(i_0_116,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1)
& ~ v3_struct_0(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
=> ( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v18_waybel_0(X3,X1,X2) )
=> ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v20_waybel_0(X3,X1,X2)
& v22_waybel_0(X3,X1,X2) ) ) ) ),
inference(fof_simplification,[status(thm)],[cc7_waybel_0]) ).
fof(i_0_117,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1)
& ~ v3_struct_0(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
=> ( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v17_waybel_0(X3,X1,X2) )
=> ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v19_waybel_0(X3,X1,X2)
& v21_waybel_0(X3,X1,X2) ) ) ) ),
inference(fof_simplification,[status(thm)],[cc6_waybel_0]) ).
fof(i_0_118,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1)
& ~ v3_struct_0(X2)
& v2_orders_2(X2)
& v4_orders_2(X2)
& v1_yellow_0(X2)
& l1_orders_2(X2) )
=> ? [X3] :
( m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_relat_1(X3)
& v1_funct_1(X3)
& ~ v1_xboole_0(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v18_waybel_0(X3,X1,X2)
& v20_waybel_0(X3,X1,X2)
& v22_waybel_0(X3,X1,X2)
& v1_partfun1(X3,u1_struct_0(X1),u1_struct_0(X2)) ) ),
inference(fof_simplification,[status(thm)],[rc4_yellow_9]) ).
fof(i_0_119,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1)
& ~ v3_struct_0(X2)
& v2_orders_2(X2)
& v4_orders_2(X2)
& v2_yellow_0(X2)
& l1_orders_2(X2) )
=> ? [X3] :
( m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_relat_1(X3)
& v1_funct_1(X3)
& ~ v1_xboole_0(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v17_waybel_0(X3,X1,X2)
& v19_waybel_0(X3,X1,X2)
& v21_waybel_0(X3,X1,X2)
& v1_partfun1(X3,u1_struct_0(X1),u1_struct_0(X2)) ) ),
inference(fof_simplification,[status(thm)],[rc3_yellow_9]) ).
fof(i_0_120,plain,
! [X1,X2] :
( ( l1_orders_2(X1)
& ~ v3_struct_0(X2)
& v2_orders_2(X2)
& l1_orders_2(X2) )
=> ? [X3] :
( m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_relat_1(X3)
& v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_partfun1(X3,u1_struct_0(X1),u1_struct_0(X2))
& v5_orders_3(X3,X1,X2) ) ),
inference(fof_simplification,[status(thm)],[rc1_waybel10]) ).
fof(i_0_121,plain,
! [X1] :
( l1_orders_2(X1)
=> ( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v2_yellow_0(X1)
& v24_waybel_0(X1)
& v25_waybel_0(X1) )
=> ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_yellow_0(X1)
& v2_yellow_0(X1)
& v3_yellow_0(X1)
& v24_waybel_0(X1)
& v25_waybel_0(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1) ) ) ),
inference(fof_simplification,[status(thm)],[cc1_yellow_2]) ).
fof(i_0_122,plain,
! [X1] :
( l1_orders_2(X1)
=> ( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v1_yellow_0(X1)
& v24_waybel_0(X1) )
=> ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& v1_yellow_0(X1)
& v2_yellow_0(X1)
& v3_yellow_0(X1) ) ) ),
inference(fof_simplification,[status(thm)],[cc12_waybel_0]) ).
fof(i_0_123,plain,
! [X1,X2] :
( ( ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X2) )
=> ( ~ v1_xboole_0(k2_tarski(X1,X2))
& v1_setfam_1(k2_tarski(X1,X2)) ) ),
inference(fof_simplification,[status(thm)],[fc3_setfam_1]) ).
fof(i_0_124,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X2) ) ),
inference(fof_simplification,[status(thm)],[rc5_struct_0]) ).
fof(i_0_125,plain,
! [X1,X2] :
( ~ v1_xboole_0(k2_tarski(X1,X2))
& v1_finset_1(k2_tarski(X1,X2)) ),
inference(fof_simplification,[status(thm)],[fc2_finset_1]) ).
fof(i_0_126,plain,
! [X1,X2] :
( r2_hidden(X1,X2)
=> ~ r2_hidden(X2,X1) ),
inference(fof_simplification,[status(thm)],[antisymmetry_r2_hidden]) ).
fof(i_0_127,plain,
! [X1] :
( l1_orders_2(X1)
=> ( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v4_orders_2(X1)
& v2_yellow_0(X1)
& v25_waybel_0(X1) )
=> ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_yellow_0(X1) ) ) ),
inference(fof_simplification,[status(thm)],[cc14_waybel_0]) ).
fof(i_0_128,plain,
! [X1] :
( ( ~ v1_xboole_0(X1)
& v1_setfam_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,X1)
=> ~ v1_xboole_0(X2) ) ),
inference(fof_simplification,[status(thm)],[cc1_setfam_1]) ).
fof(i_0_129,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& l1_orders_2(X1) )
=> epred1_1(X1) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[t7_waybel15]),c_0_105]) ).
fof(i_0_130,plain,
! [X1] :
( l1_orders_2(X1)
=> ( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v4_orders_2(X1)
& v25_waybel_0(X1) )
=> ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v4_orders_2(X1)
& v2_lattice3(X1) ) ) ),
inference(fof_simplification,[status(thm)],[cc13_waybel_0]) ).
fof(i_0_131,plain,
! [X1] :
( l1_orders_2(X1)
=> ( ( v2_orders_2(X1)
& v1_lattice3(X1)
& v24_waybel_0(X1) )
=> ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v1_lattice3(X1)
& v2_yellow_0(X1) ) ) ),
inference(fof_simplification,[status(thm)],[cc9_waybel_0]) ).
fof(i_0_132,plain,
! [X1] :
( ~ v1_xboole_0(X1)
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
& ~ v1_xboole_0(X2)
& v1_finset_1(X2) ) ),
inference(fof_simplification,[status(thm)],[rc4_finset_1]) ).
fof(i_0_133,plain,
! [X1] :
( ~ v1_xboole_0(X1)
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
& ~ v1_xboole_0(X2)
& v1_finset_1(X2) ) ),
inference(fof_simplification,[status(thm)],[rc3_finset_1]) ).
fof(i_0_134,plain,
! [X1] :
( l1_orders_2(X1)
=> ( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v25_waybel_0(X1) )
=> ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v1_yellow_0(X1) ) ) ),
inference(fof_simplification,[status(thm)],[cc11_waybel_0]) ).
fof(i_0_135,plain,
! [X1] :
( l1_orders_2(X1)
=> ( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_lattice3(X1) )
=> ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v24_waybel_0(X1)
& v25_waybel_0(X1) ) ) ),
inference(fof_simplification,[status(thm)],[cc10_waybel_0]) ).
fof(i_0_136,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[fc1_struct_0]) ).
fof(i_0_137,plain,
! [X1] :
( l1_orders_2(X1)
=> ( ( ~ v3_struct_0(X1)
& v3_lattice3(X1) )
=> ( ~ v3_struct_0(X1)
& v3_yellow_0(X1) ) ) ),
inference(fof_simplification,[status(thm)],[cc3_yellow_0]) ).
fof(i_0_138,plain,
! [X1] :
( l1_orders_2(X1)
=> ( ( ~ v3_struct_0(X1)
& v3_lattice3(X1) )
=> ( ~ v3_struct_0(X1)
& v1_lattice3(X1)
& v2_lattice3(X1) ) ) ),
inference(fof_simplification,[status(thm)],[cc1_yellow_0]) ).
fof(i_0_139,plain,
! [X1] :
( l1_orders_2(X1)
=> ( v2_lattice3(X1)
=> ~ v3_struct_0(X1) ) ),
inference(fof_simplification,[status(thm)],[cc2_lattice3]) ).
fof(i_0_140,plain,
! [X1] :
( l1_orders_2(X1)
=> ( v1_lattice3(X1)
=> ~ v3_struct_0(X1) ) ),
inference(fof_simplification,[status(thm)],[cc1_lattice3]) ).
fof(i_0_141,plain,
! [X1] :
( ~ v1_xboole_0(X1)
=> ( ~ v1_xboole_0(k1_tarski(X1))
& v1_setfam_1(k1_tarski(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc2_setfam_1]) ).
fof(i_0_142,plain,
! [X1] :
( ~ v1_xboole_0(k1_tarski(X1))
& v1_finset_1(k1_tarski(X1)) ),
inference(fof_simplification,[status(thm)],[fc1_finset_1]) ).
fof(i_0_143,plain,
? [X1] :
( ~ v1_xboole_0(X1)
& v1_setfam_1(X1) ),
inference(fof_simplification,[status(thm)],[rc1_setfam_1]) ).
fof(i_0_144,plain,
? [X1] :
( ~ v1_xboole_0(X1)
& v1_membered(X1)
& v2_membered(X1)
& v3_membered(X1)
& v4_membered(X1)
& v5_membered(X1) ),
inference(fof_simplification,[status(thm)],[rc1_membered]) ).
fof(i_0_145,plain,
? [X1] :
( ~ v1_xboole_0(X1)
& v1_finset_1(X1) ),
inference(fof_simplification,[status(thm)],[rc1_finset_1]) ).
fof(i_0_146,plain,
? [X1] :
( l1_struct_0(X1)
& ~ v3_struct_0(X1) ),
inference(fof_simplification,[status(thm)],[rc3_struct_0]) ).
fof(i_0_147,plain,
? [X1] :
( l1_orders_2(X1)
& ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& v1_yellow_0(X1)
& v2_yellow_0(X1)
& v3_yellow_0(X1) ),
inference(fof_simplification,[status(thm)],[rc2_yellow_0]) ).
fof(i_0_148,plain,
! [X421,X422,X423,X424,X425,X426,X427] :
( ~ epred1_1(X421)
| v3_struct_0(X422)
| ~ v2_orders_2(X422)
| ~ v3_orders_2(X422)
| ~ v4_orders_2(X422)
| ~ l1_orders_2(X422)
| v3_struct_0(X423)
| ~ v2_orders_2(X423)
| ~ v3_orders_2(X423)
| ~ v4_orders_2(X423)
| ~ l1_orders_2(X423)
| ~ v1_funct_1(X424)
| ~ v1_funct_2(X424,u1_struct_0(X421),u1_struct_0(X422))
| ~ m2_relset_1(X424,u1_struct_0(X421),u1_struct_0(X422))
| ~ v1_funct_1(X425)
| ~ v1_funct_2(X425,u1_struct_0(X422),u1_struct_0(X423))
| ~ m2_relset_1(X425,u1_struct_0(X422),u1_struct_0(X423))
| ~ v1_funct_1(X426)
| ~ v1_funct_2(X426,u1_struct_0(X422),u1_struct_0(X421))
| ~ m2_relset_1(X426,u1_struct_0(X422),u1_struct_0(X421))
| ~ v1_funct_1(X427)
| ~ v1_funct_2(X427,u1_struct_0(X423),u1_struct_0(X422))
| ~ m2_relset_1(X427,u1_struct_0(X423),u1_struct_0(X422))
| ~ v3_waybel_1(k1_waybel_1(X421,X422,X424,X426),X421,X422)
| ~ v3_waybel_1(k1_waybel_1(X422,X423,X425,X427),X422,X423)
| v3_waybel_1(k1_waybel_1(X421,X423,k7_funct_2(u1_struct_0(X421),u1_struct_0(X422),u1_struct_0(X423),X424,X425),k7_funct_2(u1_struct_0(X423),u1_struct_0(X422),u1_struct_0(X421),X427,X426)),X421,X423) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_106])])]) ).
fof(i_0_149,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_orders_2(esk3_0)
& v3_orders_2(esk3_0)
& v4_orders_2(esk3_0)
& v1_lattice3(esk3_0)
& v2_lattice3(esk3_0)
& v3_lattice3(esk3_0)
& l1_orders_2(esk3_0)
& v1_funct_1(esk4_0)
& v1_funct_2(esk4_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
& v18_waybel_0(esk4_0,esk1_0,esk2_0)
& m2_relset_1(esk4_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
& v1_funct_1(esk5_0)
& v1_funct_2(esk5_0,u1_struct_0(esk2_0),u1_struct_0(esk3_0))
& v18_waybel_0(esk5_0,esk2_0,esk3_0)
& m2_relset_1(esk5_0,u1_struct_0(esk2_0),u1_struct_0(esk3_0))
& k2_waybel34(esk3_0,esk1_0,k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),u1_struct_0(esk3_0),esk4_0,esk5_0)) != k7_funct_2(u1_struct_0(esk3_0),u1_struct_0(esk2_0),u1_struct_0(esk1_0),k2_waybel34(esk3_0,esk2_0,esk5_0),k2_waybel34(esk2_0,esk1_0,esk4_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_107])])]) ).
fof(i_0_150,plain,
! [X400,X401,X402,X403,X404] :
( v3_struct_0(X400)
| ~ l1_orders_2(X400)
| v3_struct_0(X401)
| ~ l1_orders_2(X401)
| v3_struct_0(X402)
| ~ l1_orders_2(X402)
| ~ v1_funct_1(X403)
| ~ v1_funct_2(X403,u1_struct_0(X400),u1_struct_0(X401))
| ~ m2_relset_1(X403,u1_struct_0(X400),u1_struct_0(X401))
| ~ v1_funct_1(X404)
| ~ v1_funct_2(X404,u1_struct_0(X401),u1_struct_0(X402))
| ~ m2_relset_1(X404,u1_struct_0(X401),u1_struct_0(X402))
| ~ v18_waybel_0(X403,X400,X401)
| ~ v18_waybel_0(X404,X401,X402)
| v18_waybel_0(k7_funct_2(u1_struct_0(X400),u1_struct_0(X401),u1_struct_0(X402),X403,X404),X400,X402) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_108])])]) ).
fof(i_0_151,plain,
! [X305,X306,X307,X308,X309] :
( ( v1_funct_1(k7_funct_2(X305,X306,X307,X308,X309))
| v1_xboole_0(X306)
| ~ v1_funct_1(X308)
| ~ v1_funct_2(X308,X305,X306)
| ~ m1_relset_1(X308,X305,X306)
| ~ v1_funct_1(X309)
| ~ v1_funct_2(X309,X306,X307)
| ~ m1_relset_1(X309,X306,X307) )
& ( v1_funct_2(k7_funct_2(X305,X306,X307,X308,X309),X305,X307)
| v1_xboole_0(X306)
| ~ v1_funct_1(X308)
| ~ v1_funct_2(X308,X305,X306)
| ~ m1_relset_1(X308,X305,X306)
| ~ v1_funct_1(X309)
| ~ v1_funct_2(X309,X306,X307)
| ~ m1_relset_1(X309,X306,X307) )
& ( m2_relset_1(k7_funct_2(X305,X306,X307,X308,X309),X305,X307)
| v1_xboole_0(X306)
| ~ v1_funct_1(X308)
| ~ v1_funct_2(X308,X305,X306)
| ~ m1_relset_1(X308,X305,X306)
| ~ v1_funct_1(X309)
| ~ v1_funct_2(X309,X306,X307)
| ~ m1_relset_1(X309,X306,X307) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_109])])]) ).
fof(i_0_152,plain,
! [X389,X390,X391,X392,X393] :
( v1_xboole_0(X390)
| ~ v1_funct_1(X392)
| ~ v1_funct_2(X392,X389,X390)
| ~ m1_relset_1(X392,X389,X390)
| ~ v1_funct_1(X393)
| ~ v1_funct_2(X393,X390,X391)
| ~ m1_relset_1(X393,X390,X391)
| k7_funct_2(X389,X390,X391,X392,X393) = k5_relat_1(X392,X393) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_110])]) ).
fof(i_0_153,plain,
! [X290,X291,X292,X293] :
( ( X293 != k2_waybel34(X290,X291,X292)
| v3_waybel_1(k1_waybel_1(X290,X291,X293,X292),X290,X291)
| ~ v1_funct_1(X293)
| ~ v1_funct_2(X293,u1_struct_0(X290),u1_struct_0(X291))
| ~ m2_relset_1(X293,u1_struct_0(X290),u1_struct_0(X291))
| ~ v3_lattice3(X290)
| ~ v3_lattice3(X291)
| ~ v18_waybel_0(X292,X291,X290)
| ~ v1_funct_1(X292)
| ~ v1_funct_2(X292,u1_struct_0(X291),u1_struct_0(X290))
| ~ m2_relset_1(X292,u1_struct_0(X291),u1_struct_0(X290))
| ~ v2_orders_2(X291)
| ~ v3_orders_2(X291)
| ~ v4_orders_2(X291)
| ~ v1_lattice3(X291)
| ~ v2_lattice3(X291)
| ~ l1_orders_2(X291)
| ~ v2_orders_2(X290)
| ~ v3_orders_2(X290)
| ~ v4_orders_2(X290)
| ~ v1_lattice3(X290)
| ~ v2_lattice3(X290)
| ~ l1_orders_2(X290) )
& ( ~ v3_waybel_1(k1_waybel_1(X290,X291,X293,X292),X290,X291)
| X293 = k2_waybel34(X290,X291,X292)
| ~ v1_funct_1(X293)
| ~ v1_funct_2(X293,u1_struct_0(X290),u1_struct_0(X291))
| ~ m2_relset_1(X293,u1_struct_0(X290),u1_struct_0(X291))
| ~ v3_lattice3(X290)
| ~ v3_lattice3(X291)
| ~ v18_waybel_0(X292,X291,X290)
| ~ v1_funct_1(X292)
| ~ v1_funct_2(X292,u1_struct_0(X291),u1_struct_0(X290))
| ~ m2_relset_1(X292,u1_struct_0(X291),u1_struct_0(X290))
| ~ v2_orders_2(X291)
| ~ v3_orders_2(X291)
| ~ v4_orders_2(X291)
| ~ v1_lattice3(X291)
| ~ v2_lattice3(X291)
| ~ l1_orders_2(X291)
| ~ v2_orders_2(X290)
| ~ v3_orders_2(X290)
| ~ v4_orders_2(X290)
| ~ v1_lattice3(X290)
| ~ v2_lattice3(X290)
| ~ l1_orders_2(X290) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_waybel34])])])]) ).
fof(i_0_154,plain,
! [X296,X297,X298,X299] :
( ~ l1_orders_2(X296)
| ~ l1_orders_2(X297)
| ~ v1_funct_1(X298)
| ~ v1_funct_2(X298,u1_struct_0(X296),u1_struct_0(X297))
| ~ m1_relset_1(X298,u1_struct_0(X296),u1_struct_0(X297))
| ~ v1_funct_1(X299)
| ~ v1_funct_2(X299,u1_struct_0(X297),u1_struct_0(X296))
| ~ m1_relset_1(X299,u1_struct_0(X297),u1_struct_0(X296))
| m1_waybel_1(k1_waybel_1(X296,X297,X298,X299),X296,X297) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_waybel_1])]) ).
cnf(i_0_155,plain,
( k1_waybel_1(X1,X2,X3,X4) = k4_tarski(X3,X4)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X2),u1_struct_0(X1))
| ~ m1_relset_1(X4,u1_struct_0(X2),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_111]) ).
cnf(i_0_156,plain,
k4_tarski(X1,X2) = k2_tarski(k2_tarski(X1,X2),k1_tarski(X1)),
inference(split_conjunct,[status(thm)],[i_0_112]) ).
fof(i_0_157,plain,
! [X348,X349,X350] :
( ( v1_relat_1(k2_waybel34(X348,X349,X350))
| ~ v2_orders_2(X348)
| ~ v3_orders_2(X348)
| ~ v4_orders_2(X348)
| ~ v1_lattice3(X348)
| ~ v2_lattice3(X348)
| ~ v3_lattice3(X348)
| ~ l1_orders_2(X348)
| ~ v2_orders_2(X349)
| ~ v3_orders_2(X349)
| ~ v4_orders_2(X349)
| ~ v1_lattice3(X349)
| ~ v2_lattice3(X349)
| ~ v3_lattice3(X349)
| ~ l1_orders_2(X349)
| ~ v1_funct_1(X350)
| ~ v1_funct_2(X350,u1_struct_0(X349),u1_struct_0(X348))
| ~ v18_waybel_0(X350,X349,X348)
| ~ m1_relset_1(X350,u1_struct_0(X349),u1_struct_0(X348)) )
& ( v1_funct_1(k2_waybel34(X348,X349,X350))
| ~ v2_orders_2(X348)
| ~ v3_orders_2(X348)
| ~ v4_orders_2(X348)
| ~ v1_lattice3(X348)
| ~ v2_lattice3(X348)
| ~ v3_lattice3(X348)
| ~ l1_orders_2(X348)
| ~ v2_orders_2(X349)
| ~ v3_orders_2(X349)
| ~ v4_orders_2(X349)
| ~ v1_lattice3(X349)
| ~ v2_lattice3(X349)
| ~ v3_lattice3(X349)
| ~ l1_orders_2(X349)
| ~ v1_funct_1(X350)
| ~ v1_funct_2(X350,u1_struct_0(X349),u1_struct_0(X348))
| ~ v18_waybel_0(X350,X349,X348)
| ~ m1_relset_1(X350,u1_struct_0(X349),u1_struct_0(X348)) )
& ( ~ v1_xboole_0(k2_waybel34(X348,X349,X350))
| ~ v2_orders_2(X348)
| ~ v3_orders_2(X348)
| ~ v4_orders_2(X348)
| ~ v1_lattice3(X348)
| ~ v2_lattice3(X348)
| ~ v3_lattice3(X348)
| ~ l1_orders_2(X348)
| ~ v2_orders_2(X349)
| ~ v3_orders_2(X349)
| ~ v4_orders_2(X349)
| ~ v1_lattice3(X349)
| ~ v2_lattice3(X349)
| ~ v3_lattice3(X349)
| ~ l1_orders_2(X349)
| ~ v1_funct_1(X350)
| ~ v1_funct_2(X350,u1_struct_0(X349),u1_struct_0(X348))
| ~ v18_waybel_0(X350,X349,X348)
| ~ m1_relset_1(X350,u1_struct_0(X349),u1_struct_0(X348)) )
& ( v1_funct_2(k2_waybel34(X348,X349,X350),u1_struct_0(X348),u1_struct_0(X349))
| ~ v2_orders_2(X348)
| ~ v3_orders_2(X348)
| ~ v4_orders_2(X348)
| ~ v1_lattice3(X348)
| ~ v2_lattice3(X348)
| ~ v3_lattice3(X348)
| ~ l1_orders_2(X348)
| ~ v2_orders_2(X349)
| ~ v3_orders_2(X349)
| ~ v4_orders_2(X349)
| ~ v1_lattice3(X349)
| ~ v2_lattice3(X349)
| ~ v3_lattice3(X349)
| ~ l1_orders_2(X349)
| ~ v1_funct_1(X350)
| ~ v1_funct_2(X350,u1_struct_0(X349),u1_struct_0(X348))
| ~ v18_waybel_0(X350,X349,X348)
| ~ m1_relset_1(X350,u1_struct_0(X349),u1_struct_0(X348)) )
& ( v1_partfun1(k2_waybel34(X348,X349,X350),u1_struct_0(X348),u1_struct_0(X349))
| ~ v2_orders_2(X348)
| ~ v3_orders_2(X348)
| ~ v4_orders_2(X348)
| ~ v1_lattice3(X348)
| ~ v2_lattice3(X348)
| ~ v3_lattice3(X348)
| ~ l1_orders_2(X348)
| ~ v2_orders_2(X349)
| ~ v3_orders_2(X349)
| ~ v4_orders_2(X349)
| ~ v1_lattice3(X349)
| ~ v2_lattice3(X349)
| ~ v3_lattice3(X349)
| ~ l1_orders_2(X349)
| ~ v1_funct_1(X350)
| ~ v1_funct_2(X350,u1_struct_0(X349),u1_struct_0(X348))
| ~ v18_waybel_0(X350,X349,X348)
| ~ m1_relset_1(X350,u1_struct_0(X349),u1_struct_0(X348)) )
& ( v17_waybel_0(k2_waybel34(X348,X349,X350),X348,X349)
| ~ v2_orders_2(X348)
| ~ v3_orders_2(X348)
| ~ v4_orders_2(X348)
| ~ v1_lattice3(X348)
| ~ v2_lattice3(X348)
| ~ v3_lattice3(X348)
| ~ l1_orders_2(X348)
| ~ v2_orders_2(X349)
| ~ v3_orders_2(X349)
| ~ v4_orders_2(X349)
| ~ v1_lattice3(X349)
| ~ v2_lattice3(X349)
| ~ v3_lattice3(X349)
| ~ l1_orders_2(X349)
| ~ v1_funct_1(X350)
| ~ v1_funct_2(X350,u1_struct_0(X349),u1_struct_0(X348))
| ~ v18_waybel_0(X350,X349,X348)
| ~ m1_relset_1(X350,u1_struct_0(X349),u1_struct_0(X348)) )
& ( v19_waybel_0(k2_waybel34(X348,X349,X350),X348,X349)
| ~ v2_orders_2(X348)
| ~ v3_orders_2(X348)
| ~ v4_orders_2(X348)
| ~ v1_lattice3(X348)
| ~ v2_lattice3(X348)
| ~ v3_lattice3(X348)
| ~ l1_orders_2(X348)
| ~ v2_orders_2(X349)
| ~ v3_orders_2(X349)
| ~ v4_orders_2(X349)
| ~ v1_lattice3(X349)
| ~ v2_lattice3(X349)
| ~ v3_lattice3(X349)
| ~ l1_orders_2(X349)
| ~ v1_funct_1(X350)
| ~ v1_funct_2(X350,u1_struct_0(X349),u1_struct_0(X348))
| ~ v18_waybel_0(X350,X349,X348)
| ~ m1_relset_1(X350,u1_struct_0(X349),u1_struct_0(X348)) )
& ( v21_waybel_0(k2_waybel34(X348,X349,X350),X348,X349)
| ~ v2_orders_2(X348)
| ~ v3_orders_2(X348)
| ~ v4_orders_2(X348)
| ~ v1_lattice3(X348)
| ~ v2_lattice3(X348)
| ~ v3_lattice3(X348)
| ~ l1_orders_2(X348)
| ~ v2_orders_2(X349)
| ~ v3_orders_2(X349)
| ~ v4_orders_2(X349)
| ~ v1_lattice3(X349)
| ~ v2_lattice3(X349)
| ~ v3_lattice3(X349)
| ~ l1_orders_2(X349)
| ~ v1_funct_1(X350)
| ~ v1_funct_2(X350,u1_struct_0(X349),u1_struct_0(X348))
| ~ v18_waybel_0(X350,X349,X348)
| ~ m1_relset_1(X350,u1_struct_0(X349),u1_struct_0(X348)) )
& ( v4_waybel_1(k2_waybel34(X348,X349,X350),X348,X349)
| ~ v2_orders_2(X348)
| ~ v3_orders_2(X348)
| ~ v4_orders_2(X348)
| ~ v1_lattice3(X348)
| ~ v2_lattice3(X348)
| ~ v3_lattice3(X348)
| ~ l1_orders_2(X348)
| ~ v2_orders_2(X349)
| ~ v3_orders_2(X349)
| ~ v4_orders_2(X349)
| ~ v1_lattice3(X349)
| ~ v2_lattice3(X349)
| ~ v3_lattice3(X349)
| ~ l1_orders_2(X349)
| ~ v1_funct_1(X350)
| ~ v1_funct_2(X350,u1_struct_0(X349),u1_struct_0(X348))
| ~ v18_waybel_0(X350,X349,X348)
| ~ m1_relset_1(X350,u1_struct_0(X349),u1_struct_0(X348)) )
& ( v5_orders_3(k2_waybel34(X348,X349,X350),X348,X349)
| ~ v2_orders_2(X348)
| ~ v3_orders_2(X348)
| ~ v4_orders_2(X348)
| ~ v1_lattice3(X348)
| ~ v2_lattice3(X348)
| ~ v3_lattice3(X348)
| ~ l1_orders_2(X348)
| ~ v2_orders_2(X349)
| ~ v3_orders_2(X349)
| ~ v4_orders_2(X349)
| ~ v1_lattice3(X349)
| ~ v2_lattice3(X349)
| ~ v3_lattice3(X349)
| ~ l1_orders_2(X349)
| ~ v1_funct_1(X350)
| ~ v1_funct_2(X350,u1_struct_0(X349),u1_struct_0(X348))
| ~ v18_waybel_0(X350,X349,X348)
| ~ m1_relset_1(X350,u1_struct_0(X349),u1_struct_0(X348)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_113])])]) ).
fof(i_0_158,plain,
! [X300,X301,X302] :
( ( v1_funct_1(k2_waybel34(X300,X301,X302))
| ~ v2_orders_2(X300)
| ~ v3_orders_2(X300)
| ~ v4_orders_2(X300)
| ~ v1_lattice3(X300)
| ~ v2_lattice3(X300)
| ~ l1_orders_2(X300)
| ~ v2_orders_2(X301)
| ~ v3_orders_2(X301)
| ~ v4_orders_2(X301)
| ~ v1_lattice3(X301)
| ~ v2_lattice3(X301)
| ~ l1_orders_2(X301)
| ~ v1_funct_1(X302)
| ~ v1_funct_2(X302,u1_struct_0(X301),u1_struct_0(X300))
| ~ m1_relset_1(X302,u1_struct_0(X301),u1_struct_0(X300)) )
& ( v1_funct_2(k2_waybel34(X300,X301,X302),u1_struct_0(X300),u1_struct_0(X301))
| ~ v2_orders_2(X300)
| ~ v3_orders_2(X300)
| ~ v4_orders_2(X300)
| ~ v1_lattice3(X300)
| ~ v2_lattice3(X300)
| ~ l1_orders_2(X300)
| ~ v2_orders_2(X301)
| ~ v3_orders_2(X301)
| ~ v4_orders_2(X301)
| ~ v1_lattice3(X301)
| ~ v2_lattice3(X301)
| ~ l1_orders_2(X301)
| ~ v1_funct_1(X302)
| ~ v1_funct_2(X302,u1_struct_0(X301),u1_struct_0(X300))
| ~ m1_relset_1(X302,u1_struct_0(X301),u1_struct_0(X300)) )
& ( m2_relset_1(k2_waybel34(X300,X301,X302),u1_struct_0(X300),u1_struct_0(X301))
| ~ v2_orders_2(X300)
| ~ v3_orders_2(X300)
| ~ v4_orders_2(X300)
| ~ v1_lattice3(X300)
| ~ v2_lattice3(X300)
| ~ l1_orders_2(X300)
| ~ v2_orders_2(X301)
| ~ v3_orders_2(X301)
| ~ v4_orders_2(X301)
| ~ v1_lattice3(X301)
| ~ v2_lattice3(X301)
| ~ l1_orders_2(X301)
| ~ v1_funct_1(X302)
| ~ v1_funct_2(X302,u1_struct_0(X301),u1_struct_0(X300))
| ~ m1_relset_1(X302,u1_struct_0(X301),u1_struct_0(X300)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k2_waybel34])])]) ).
fof(i_0_159,plain,
! [X264,X265,X266] :
( ( v1_funct_1(X266)
| ~ v1_funct_1(X266)
| ~ v1_funct_2(X266,u1_struct_0(X264),u1_struct_0(X265))
| ~ v4_waybel_1(X266,X264,X265)
| ~ m1_relset_1(X266,u1_struct_0(X264),u1_struct_0(X265))
| v3_struct_0(X264)
| ~ v2_orders_2(X264)
| ~ v3_orders_2(X264)
| ~ v4_orders_2(X264)
| ~ l1_orders_2(X264)
| v3_struct_0(X265)
| ~ v2_orders_2(X265)
| ~ v3_orders_2(X265)
| ~ v4_orders_2(X265)
| ~ l1_orders_2(X265) )
& ( ~ v1_xboole_0(X266)
| ~ v1_funct_1(X266)
| ~ v1_funct_2(X266,u1_struct_0(X264),u1_struct_0(X265))
| ~ v4_waybel_1(X266,X264,X265)
| ~ m1_relset_1(X266,u1_struct_0(X264),u1_struct_0(X265))
| v3_struct_0(X264)
| ~ v2_orders_2(X264)
| ~ v3_orders_2(X264)
| ~ v4_orders_2(X264)
| ~ l1_orders_2(X264)
| v3_struct_0(X265)
| ~ v2_orders_2(X265)
| ~ v3_orders_2(X265)
| ~ v4_orders_2(X265)
| ~ l1_orders_2(X265) )
& ( v1_funct_2(X266,u1_struct_0(X264),u1_struct_0(X265))
| ~ v1_funct_1(X266)
| ~ v1_funct_2(X266,u1_struct_0(X264),u1_struct_0(X265))
| ~ v4_waybel_1(X266,X264,X265)
| ~ m1_relset_1(X266,u1_struct_0(X264),u1_struct_0(X265))
| v3_struct_0(X264)
| ~ v2_orders_2(X264)
| ~ v3_orders_2(X264)
| ~ v4_orders_2(X264)
| ~ l1_orders_2(X264)
| v3_struct_0(X265)
| ~ v2_orders_2(X265)
| ~ v3_orders_2(X265)
| ~ v4_orders_2(X265)
| ~ l1_orders_2(X265) )
& ( v1_partfun1(X266,u1_struct_0(X264),u1_struct_0(X265))
| ~ v1_funct_1(X266)
| ~ v1_funct_2(X266,u1_struct_0(X264),u1_struct_0(X265))
| ~ v4_waybel_1(X266,X264,X265)
| ~ m1_relset_1(X266,u1_struct_0(X264),u1_struct_0(X265))
| v3_struct_0(X264)
| ~ v2_orders_2(X264)
| ~ v3_orders_2(X264)
| ~ v4_orders_2(X264)
| ~ l1_orders_2(X264)
| v3_struct_0(X265)
| ~ v2_orders_2(X265)
| ~ v3_orders_2(X265)
| ~ v4_orders_2(X265)
| ~ l1_orders_2(X265) )
& ( v17_waybel_0(X266,X264,X265)
| ~ v1_funct_1(X266)
| ~ v1_funct_2(X266,u1_struct_0(X264),u1_struct_0(X265))
| ~ v4_waybel_1(X266,X264,X265)
| ~ m1_relset_1(X266,u1_struct_0(X264),u1_struct_0(X265))
| v3_struct_0(X264)
| ~ v2_orders_2(X264)
| ~ v3_orders_2(X264)
| ~ v4_orders_2(X264)
| ~ l1_orders_2(X264)
| v3_struct_0(X265)
| ~ v2_orders_2(X265)
| ~ v3_orders_2(X265)
| ~ v4_orders_2(X265)
| ~ l1_orders_2(X265) )
& ( v19_waybel_0(X266,X264,X265)
| ~ v1_funct_1(X266)
| ~ v1_funct_2(X266,u1_struct_0(X264),u1_struct_0(X265))
| ~ v4_waybel_1(X266,X264,X265)
| ~ m1_relset_1(X266,u1_struct_0(X264),u1_struct_0(X265))
| v3_struct_0(X264)
| ~ v2_orders_2(X264)
| ~ v3_orders_2(X264)
| ~ v4_orders_2(X264)
| ~ l1_orders_2(X264)
| v3_struct_0(X265)
| ~ v2_orders_2(X265)
| ~ v3_orders_2(X265)
| ~ v4_orders_2(X265)
| ~ l1_orders_2(X265) )
& ( v21_waybel_0(X266,X264,X265)
| ~ v1_funct_1(X266)
| ~ v1_funct_2(X266,u1_struct_0(X264),u1_struct_0(X265))
| ~ v4_waybel_1(X266,X264,X265)
| ~ m1_relset_1(X266,u1_struct_0(X264),u1_struct_0(X265))
| v3_struct_0(X264)
| ~ v2_orders_2(X264)
| ~ v3_orders_2(X264)
| ~ v4_orders_2(X264)
| ~ l1_orders_2(X264)
| v3_struct_0(X265)
| ~ v2_orders_2(X265)
| ~ v3_orders_2(X265)
| ~ v4_orders_2(X265)
| ~ l1_orders_2(X265) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_114])])])]) ).
fof(i_0_160,plain,
! [X261,X262,X263] :
( ( v1_funct_1(X263)
| ~ v1_funct_1(X263)
| ~ v1_funct_2(X263,u1_struct_0(X261),u1_struct_0(X262))
| ~ v19_waybel_0(X263,X261,X262)
| ~ m1_relset_1(X263,u1_struct_0(X261),u1_struct_0(X262))
| ~ v2_orders_2(X261)
| ~ v3_orders_2(X261)
| ~ v4_orders_2(X261)
| ~ v2_lattice3(X261)
| ~ l1_orders_2(X261)
| ~ v2_orders_2(X262)
| ~ v3_orders_2(X262)
| ~ v4_orders_2(X262)
| ~ v2_lattice3(X262)
| ~ l1_orders_2(X262) )
& ( v1_funct_2(X263,u1_struct_0(X261),u1_struct_0(X262))
| ~ v1_funct_1(X263)
| ~ v1_funct_2(X263,u1_struct_0(X261),u1_struct_0(X262))
| ~ v19_waybel_0(X263,X261,X262)
| ~ m1_relset_1(X263,u1_struct_0(X261),u1_struct_0(X262))
| ~ v2_orders_2(X261)
| ~ v3_orders_2(X261)
| ~ v4_orders_2(X261)
| ~ v2_lattice3(X261)
| ~ l1_orders_2(X261)
| ~ v2_orders_2(X262)
| ~ v3_orders_2(X262)
| ~ v4_orders_2(X262)
| ~ v2_lattice3(X262)
| ~ l1_orders_2(X262) )
& ( v5_orders_3(X263,X261,X262)
| ~ v1_funct_1(X263)
| ~ v1_funct_2(X263,u1_struct_0(X261),u1_struct_0(X262))
| ~ v19_waybel_0(X263,X261,X262)
| ~ m1_relset_1(X263,u1_struct_0(X261),u1_struct_0(X262))
| ~ v2_orders_2(X261)
| ~ v3_orders_2(X261)
| ~ v4_orders_2(X261)
| ~ v2_lattice3(X261)
| ~ l1_orders_2(X261)
| ~ v2_orders_2(X262)
| ~ v3_orders_2(X262)
| ~ v4_orders_2(X262)
| ~ v2_lattice3(X262)
| ~ l1_orders_2(X262) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_waybel21])])])]) ).
fof(i_0_161,plain,
! [X258,X259,X260] :
( ( ~ v1_xboole_0(X260)
| ~ v1_funct_1(X260)
| ~ v1_funct_2(X260,u1_struct_0(X258),u1_struct_0(X259))
| ~ v22_waybel_0(X260,X258,X259)
| ~ m1_relset_1(X260,u1_struct_0(X258),u1_struct_0(X259))
| v3_struct_0(X258)
| ~ v2_orders_2(X258)
| ~ v4_orders_2(X258)
| ~ l1_orders_2(X258)
| v3_struct_0(X259)
| ~ v2_orders_2(X259)
| ~ v4_orders_2(X259)
| ~ l1_orders_2(X259) )
& ( v1_funct_1(X260)
| ~ v1_funct_1(X260)
| ~ v1_funct_2(X260,u1_struct_0(X258),u1_struct_0(X259))
| ~ v22_waybel_0(X260,X258,X259)
| ~ m1_relset_1(X260,u1_struct_0(X258),u1_struct_0(X259))
| v3_struct_0(X258)
| ~ v2_orders_2(X258)
| ~ v4_orders_2(X258)
| ~ l1_orders_2(X258)
| v3_struct_0(X259)
| ~ v2_orders_2(X259)
| ~ v4_orders_2(X259)
| ~ l1_orders_2(X259) )
& ( v1_funct_2(X260,u1_struct_0(X258),u1_struct_0(X259))
| ~ v1_funct_1(X260)
| ~ v1_funct_2(X260,u1_struct_0(X258),u1_struct_0(X259))
| ~ v22_waybel_0(X260,X258,X259)
| ~ m1_relset_1(X260,u1_struct_0(X258),u1_struct_0(X259))
| v3_struct_0(X258)
| ~ v2_orders_2(X258)
| ~ v4_orders_2(X258)
| ~ l1_orders_2(X258)
| v3_struct_0(X259)
| ~ v2_orders_2(X259)
| ~ v4_orders_2(X259)
| ~ l1_orders_2(X259) )
& ( v5_orders_3(X260,X258,X259)
| ~ v1_funct_1(X260)
| ~ v1_funct_2(X260,u1_struct_0(X258),u1_struct_0(X259))
| ~ v22_waybel_0(X260,X258,X259)
| ~ m1_relset_1(X260,u1_struct_0(X258),u1_struct_0(X259))
| v3_struct_0(X258)
| ~ v2_orders_2(X258)
| ~ v4_orders_2(X258)
| ~ l1_orders_2(X258)
| v3_struct_0(X259)
| ~ v2_orders_2(X259)
| ~ v4_orders_2(X259)
| ~ l1_orders_2(X259) )
& ( v1_partfun1(X260,u1_struct_0(X258),u1_struct_0(X259))
| ~ v1_funct_1(X260)
| ~ v1_funct_2(X260,u1_struct_0(X258),u1_struct_0(X259))
| ~ v22_waybel_0(X260,X258,X259)
| ~ m1_relset_1(X260,u1_struct_0(X258),u1_struct_0(X259))
| v3_struct_0(X258)
| ~ v2_orders_2(X258)
| ~ v4_orders_2(X258)
| ~ l1_orders_2(X258)
| v3_struct_0(X259)
| ~ v2_orders_2(X259)
| ~ v4_orders_2(X259)
| ~ l1_orders_2(X259) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_115])])])]) ).
fof(i_0_162,plain,
! [X284,X285,X286] :
( ( v1_funct_1(X286)
| ~ v1_funct_1(X286)
| ~ v1_funct_2(X286,u1_struct_0(X284),u1_struct_0(X285))
| ~ v18_waybel_0(X286,X284,X285)
| ~ m1_relset_1(X286,u1_struct_0(X284),u1_struct_0(X285))
| v3_struct_0(X284)
| ~ l1_orders_2(X284)
| v3_struct_0(X285)
| ~ l1_orders_2(X285) )
& ( v1_funct_2(X286,u1_struct_0(X284),u1_struct_0(X285))
| ~ v1_funct_1(X286)
| ~ v1_funct_2(X286,u1_struct_0(X284),u1_struct_0(X285))
| ~ v18_waybel_0(X286,X284,X285)
| ~ m1_relset_1(X286,u1_struct_0(X284),u1_struct_0(X285))
| v3_struct_0(X284)
| ~ l1_orders_2(X284)
| v3_struct_0(X285)
| ~ l1_orders_2(X285) )
& ( v20_waybel_0(X286,X284,X285)
| ~ v1_funct_1(X286)
| ~ v1_funct_2(X286,u1_struct_0(X284),u1_struct_0(X285))
| ~ v18_waybel_0(X286,X284,X285)
| ~ m1_relset_1(X286,u1_struct_0(X284),u1_struct_0(X285))
| v3_struct_0(X284)
| ~ l1_orders_2(X284)
| v3_struct_0(X285)
| ~ l1_orders_2(X285) )
& ( v22_waybel_0(X286,X284,X285)
| ~ v1_funct_1(X286)
| ~ v1_funct_2(X286,u1_struct_0(X284),u1_struct_0(X285))
| ~ v18_waybel_0(X286,X284,X285)
| ~ m1_relset_1(X286,u1_struct_0(X284),u1_struct_0(X285))
| v3_struct_0(X284)
| ~ l1_orders_2(X284)
| v3_struct_0(X285)
| ~ l1_orders_2(X285) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_116])])])]) ).
fof(i_0_163,plain,
! [X281,X282,X283] :
( ( v1_funct_1(X283)
| ~ v1_funct_1(X283)
| ~ v1_funct_2(X283,u1_struct_0(X281),u1_struct_0(X282))
| ~ v17_waybel_0(X283,X281,X282)
| ~ m1_relset_1(X283,u1_struct_0(X281),u1_struct_0(X282))
| v3_struct_0(X281)
| ~ l1_orders_2(X281)
| v3_struct_0(X282)
| ~ l1_orders_2(X282) )
& ( v1_funct_2(X283,u1_struct_0(X281),u1_struct_0(X282))
| ~ v1_funct_1(X283)
| ~ v1_funct_2(X283,u1_struct_0(X281),u1_struct_0(X282))
| ~ v17_waybel_0(X283,X281,X282)
| ~ m1_relset_1(X283,u1_struct_0(X281),u1_struct_0(X282))
| v3_struct_0(X281)
| ~ l1_orders_2(X281)
| v3_struct_0(X282)
| ~ l1_orders_2(X282) )
& ( v19_waybel_0(X283,X281,X282)
| ~ v1_funct_1(X283)
| ~ v1_funct_2(X283,u1_struct_0(X281),u1_struct_0(X282))
| ~ v17_waybel_0(X283,X281,X282)
| ~ m1_relset_1(X283,u1_struct_0(X281),u1_struct_0(X282))
| v3_struct_0(X281)
| ~ l1_orders_2(X281)
| v3_struct_0(X282)
| ~ l1_orders_2(X282) )
& ( v21_waybel_0(X283,X281,X282)
| ~ v1_funct_1(X283)
| ~ v1_funct_2(X283,u1_struct_0(X281),u1_struct_0(X282))
| ~ v17_waybel_0(X283,X281,X282)
| ~ m1_relset_1(X283,u1_struct_0(X281),u1_struct_0(X282))
| v3_struct_0(X281)
| ~ l1_orders_2(X281)
| v3_struct_0(X282)
| ~ l1_orders_2(X282) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_117])])])]) ).
fof(i_0_164,plain,
! [X366,X367] :
( ( m1_waybel_1(esk18_2(X366,X367),X366,X367)
| ~ v2_orders_2(X366)
| ~ v3_orders_2(X366)
| ~ v4_orders_2(X366)
| ~ v1_lattice3(X366)
| ~ v2_lattice3(X366)
| ~ v3_lattice3(X366)
| ~ l1_orders_2(X366)
| ~ v2_orders_2(X367)
| ~ v3_orders_2(X367)
| ~ v4_orders_2(X367)
| ~ v1_lattice3(X367)
| ~ v2_lattice3(X367)
| ~ v3_lattice3(X367)
| ~ l1_orders_2(X367) )
& ( v3_waybel_1(esk18_2(X366,X367),X366,X367)
| ~ v2_orders_2(X366)
| ~ v3_orders_2(X366)
| ~ v4_orders_2(X366)
| ~ v1_lattice3(X366)
| ~ v2_lattice3(X366)
| ~ v3_lattice3(X366)
| ~ l1_orders_2(X366)
| ~ v2_orders_2(X367)
| ~ v3_orders_2(X367)
| ~ v4_orders_2(X367)
| ~ v1_lattice3(X367)
| ~ v2_lattice3(X367)
| ~ v3_lattice3(X367)
| ~ l1_orders_2(X367) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rc1_waybel34])])])]) ).
fof(i_0_165,plain,
! [X358,X359] :
( ( m1_relset_1(esk14_2(X358,X359),u1_struct_0(X358),u1_struct_0(X359))
| ~ v2_orders_2(X358)
| ~ v3_orders_2(X358)
| ~ v4_orders_2(X358)
| ~ v1_lattice3(X358)
| ~ v2_lattice3(X358)
| ~ l1_orders_2(X358)
| ~ v2_orders_2(X359)
| ~ v3_orders_2(X359)
| ~ v4_orders_2(X359)
| ~ v1_lattice3(X359)
| ~ v2_lattice3(X359)
| ~ l1_orders_2(X359) )
& ( v1_relat_1(esk14_2(X358,X359))
| ~ v2_orders_2(X358)
| ~ v3_orders_2(X358)
| ~ v4_orders_2(X358)
| ~ v1_lattice3(X358)
| ~ v2_lattice3(X358)
| ~ l1_orders_2(X358)
| ~ v2_orders_2(X359)
| ~ v3_orders_2(X359)
| ~ v4_orders_2(X359)
| ~ v1_lattice3(X359)
| ~ v2_lattice3(X359)
| ~ l1_orders_2(X359) )
& ( v1_funct_1(esk14_2(X358,X359))
| ~ v2_orders_2(X358)
| ~ v3_orders_2(X358)
| ~ v4_orders_2(X358)
| ~ v1_lattice3(X358)
| ~ v2_lattice3(X358)
| ~ l1_orders_2(X358)
| ~ v2_orders_2(X359)
| ~ v3_orders_2(X359)
| ~ v4_orders_2(X359)
| ~ v1_lattice3(X359)
| ~ v2_lattice3(X359)
| ~ l1_orders_2(X359) )
& ( v1_funct_2(esk14_2(X358,X359),u1_struct_0(X358),u1_struct_0(X359))
| ~ v2_orders_2(X358)
| ~ v3_orders_2(X358)
| ~ v4_orders_2(X358)
| ~ v1_lattice3(X358)
| ~ v2_lattice3(X358)
| ~ l1_orders_2(X358)
| ~ v2_orders_2(X359)
| ~ v3_orders_2(X359)
| ~ v4_orders_2(X359)
| ~ v1_lattice3(X359)
| ~ v2_lattice3(X359)
| ~ l1_orders_2(X359) )
& ( v19_waybel_0(esk14_2(X358,X359),X358,X359)
| ~ v2_orders_2(X358)
| ~ v3_orders_2(X358)
| ~ v4_orders_2(X358)
| ~ v1_lattice3(X358)
| ~ v2_lattice3(X358)
| ~ l1_orders_2(X358)
| ~ v2_orders_2(X359)
| ~ v3_orders_2(X359)
| ~ v4_orders_2(X359)
| ~ v1_lattice3(X359)
| ~ v2_lattice3(X359)
| ~ l1_orders_2(X359) )
& ( v20_waybel_0(esk14_2(X358,X359),X358,X359)
| ~ v2_orders_2(X358)
| ~ v3_orders_2(X358)
| ~ v4_orders_2(X358)
| ~ v1_lattice3(X358)
| ~ v2_lattice3(X358)
| ~ l1_orders_2(X358)
| ~ v2_orders_2(X359)
| ~ v3_orders_2(X359)
| ~ v4_orders_2(X359)
| ~ v1_lattice3(X359)
| ~ v2_lattice3(X359)
| ~ l1_orders_2(X359) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rc1_lattice5])])])]) ).
fof(i_0_166,plain,
! [X311,X312,X313] :
( ~ m2_relset_1(X313,X311,X312)
| m1_subset_1(X313,k1_zfmisc_1(k2_zfmisc_1(X311,X312))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_relset_1])]) ).
fof(i_0_167,plain,
! [X394,X395,X396] :
( ( ~ m2_relset_1(X396,X394,X395)
| m1_relset_1(X396,X394,X395) )
& ( ~ m1_relset_1(X396,X394,X395)
| m2_relset_1(X396,X394,X395) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).
fof(i_0_168,plain,
! [X380,X381] :
( ( m1_relset_1(esk26_2(X380,X381),u1_struct_0(X380),u1_struct_0(X381))
| v3_struct_0(X380)
| ~ l1_orders_2(X380)
| v3_struct_0(X381)
| ~ v2_orders_2(X381)
| ~ v4_orders_2(X381)
| ~ v1_yellow_0(X381)
| ~ l1_orders_2(X381) )
& ( v1_relat_1(esk26_2(X380,X381))
| v3_struct_0(X380)
| ~ l1_orders_2(X380)
| v3_struct_0(X381)
| ~ v2_orders_2(X381)
| ~ v4_orders_2(X381)
| ~ v1_yellow_0(X381)
| ~ l1_orders_2(X381) )
& ( v1_funct_1(esk26_2(X380,X381))
| v3_struct_0(X380)
| ~ l1_orders_2(X380)
| v3_struct_0(X381)
| ~ v2_orders_2(X381)
| ~ v4_orders_2(X381)
| ~ v1_yellow_0(X381)
| ~ l1_orders_2(X381) )
& ( ~ v1_xboole_0(esk26_2(X380,X381))
| v3_struct_0(X380)
| ~ l1_orders_2(X380)
| v3_struct_0(X381)
| ~ v2_orders_2(X381)
| ~ v4_orders_2(X381)
| ~ v1_yellow_0(X381)
| ~ l1_orders_2(X381) )
& ( v1_funct_2(esk26_2(X380,X381),u1_struct_0(X380),u1_struct_0(X381))
| v3_struct_0(X380)
| ~ l1_orders_2(X380)
| v3_struct_0(X381)
| ~ v2_orders_2(X381)
| ~ v4_orders_2(X381)
| ~ v1_yellow_0(X381)
| ~ l1_orders_2(X381) )
& ( v18_waybel_0(esk26_2(X380,X381),X380,X381)
| v3_struct_0(X380)
| ~ l1_orders_2(X380)
| v3_struct_0(X381)
| ~ v2_orders_2(X381)
| ~ v4_orders_2(X381)
| ~ v1_yellow_0(X381)
| ~ l1_orders_2(X381) )
& ( v20_waybel_0(esk26_2(X380,X381),X380,X381)
| v3_struct_0(X380)
| ~ l1_orders_2(X380)
| v3_struct_0(X381)
| ~ v2_orders_2(X381)
| ~ v4_orders_2(X381)
| ~ v1_yellow_0(X381)
| ~ l1_orders_2(X381) )
& ( v22_waybel_0(esk26_2(X380,X381),X380,X381)
| v3_struct_0(X380)
| ~ l1_orders_2(X380)
| v3_struct_0(X381)
| ~ v2_orders_2(X381)
| ~ v4_orders_2(X381)
| ~ v1_yellow_0(X381)
| ~ l1_orders_2(X381) )
& ( v1_partfun1(esk26_2(X380,X381),u1_struct_0(X380),u1_struct_0(X381))
| v3_struct_0(X380)
| ~ l1_orders_2(X380)
| v3_struct_0(X381)
| ~ v2_orders_2(X381)
| ~ v4_orders_2(X381)
| ~ v1_yellow_0(X381)
| ~ l1_orders_2(X381) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_118])])])]) ).
fof(i_0_169,plain,
! [X375,X376] :
( ( m1_relset_1(esk24_2(X375,X376),u1_struct_0(X375),u1_struct_0(X376))
| v3_struct_0(X375)
| ~ l1_orders_2(X375)
| v3_struct_0(X376)
| ~ v2_orders_2(X376)
| ~ v4_orders_2(X376)
| ~ v2_yellow_0(X376)
| ~ l1_orders_2(X376) )
& ( v1_relat_1(esk24_2(X375,X376))
| v3_struct_0(X375)
| ~ l1_orders_2(X375)
| v3_struct_0(X376)
| ~ v2_orders_2(X376)
| ~ v4_orders_2(X376)
| ~ v2_yellow_0(X376)
| ~ l1_orders_2(X376) )
& ( v1_funct_1(esk24_2(X375,X376))
| v3_struct_0(X375)
| ~ l1_orders_2(X375)
| v3_struct_0(X376)
| ~ v2_orders_2(X376)
| ~ v4_orders_2(X376)
| ~ v2_yellow_0(X376)
| ~ l1_orders_2(X376) )
& ( ~ v1_xboole_0(esk24_2(X375,X376))
| v3_struct_0(X375)
| ~ l1_orders_2(X375)
| v3_struct_0(X376)
| ~ v2_orders_2(X376)
| ~ v4_orders_2(X376)
| ~ v2_yellow_0(X376)
| ~ l1_orders_2(X376) )
& ( v1_funct_2(esk24_2(X375,X376),u1_struct_0(X375),u1_struct_0(X376))
| v3_struct_0(X375)
| ~ l1_orders_2(X375)
| v3_struct_0(X376)
| ~ v2_orders_2(X376)
| ~ v4_orders_2(X376)
| ~ v2_yellow_0(X376)
| ~ l1_orders_2(X376) )
& ( v17_waybel_0(esk24_2(X375,X376),X375,X376)
| v3_struct_0(X375)
| ~ l1_orders_2(X375)
| v3_struct_0(X376)
| ~ v2_orders_2(X376)
| ~ v4_orders_2(X376)
| ~ v2_yellow_0(X376)
| ~ l1_orders_2(X376) )
& ( v19_waybel_0(esk24_2(X375,X376),X375,X376)
| v3_struct_0(X375)
| ~ l1_orders_2(X375)
| v3_struct_0(X376)
| ~ v2_orders_2(X376)
| ~ v4_orders_2(X376)
| ~ v2_yellow_0(X376)
| ~ l1_orders_2(X376) )
& ( v21_waybel_0(esk24_2(X375,X376),X375,X376)
| v3_struct_0(X375)
| ~ l1_orders_2(X375)
| v3_struct_0(X376)
| ~ v2_orders_2(X376)
| ~ v4_orders_2(X376)
| ~ v2_yellow_0(X376)
| ~ l1_orders_2(X376) )
& ( v1_partfun1(esk24_2(X375,X376),u1_struct_0(X375),u1_struct_0(X376))
| v3_struct_0(X375)
| ~ l1_orders_2(X375)
| v3_struct_0(X376)
| ~ v2_orders_2(X376)
| ~ v4_orders_2(X376)
| ~ v2_yellow_0(X376)
| ~ l1_orders_2(X376) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_119])])])]) ).
fof(i_0_170,plain,
! [X363,X364] :
( ( m1_relset_1(esk17_2(X363,X364),u1_struct_0(X363),u1_struct_0(X364))
| ~ l1_orders_2(X363)
| v3_struct_0(X364)
| ~ v2_orders_2(X364)
| ~ l1_orders_2(X364) )
& ( v1_relat_1(esk17_2(X363,X364))
| ~ l1_orders_2(X363)
| v3_struct_0(X364)
| ~ v2_orders_2(X364)
| ~ l1_orders_2(X364) )
& ( v1_funct_1(esk17_2(X363,X364))
| ~ l1_orders_2(X363)
| v3_struct_0(X364)
| ~ v2_orders_2(X364)
| ~ l1_orders_2(X364) )
& ( v1_funct_2(esk17_2(X363,X364),u1_struct_0(X363),u1_struct_0(X364))
| ~ l1_orders_2(X363)
| v3_struct_0(X364)
| ~ v2_orders_2(X364)
| ~ l1_orders_2(X364) )
& ( v1_partfun1(esk17_2(X363,X364),u1_struct_0(X363),u1_struct_0(X364))
| ~ l1_orders_2(X363)
| v3_struct_0(X364)
| ~ v2_orders_2(X364)
| ~ l1_orders_2(X364) )
& ( v5_orders_3(esk17_2(X363,X364),X363,X364)
| ~ l1_orders_2(X363)
| v3_struct_0(X364)
| ~ v2_orders_2(X364)
| ~ l1_orders_2(X364) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_120])])])]) ).
fof(i_0_171,plain,
! [X253,X254,X255] :
( ~ m1_subset_1(X255,k1_zfmisc_1(k2_zfmisc_1(X253,X254)))
| v1_relat_1(X255) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relset_1])]) ).
fof(i_0_172,plain,
! [X321,X322] :
( ~ l1_orders_2(X321)
| ~ l1_orders_2(X322)
| m1_waybel_1(esk10_2(X321,X322),X321,X322) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[existence_m1_waybel_1])])]) ).
fof(i_0_173,plain,
! [X316,X317] : m1_relset_1(esk8_2(X316,X317),X316,X317),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_relset_1])]) ).
fof(i_0_174,plain,
! [X324,X325] : m2_relset_1(esk11_2(X324,X325),X324,X325),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m2_relset_1])]) ).
fof(i_0_175,plain,
! [X409,X410,X411] :
( ~ r2_hidden(X409,X410)
| ~ m1_subset_1(X410,k1_zfmisc_1(X411))
| m1_subset_1(X409,X411) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])]) ).
fof(i_0_176,plain,
! [X412,X413,X414] :
( ~ r2_hidden(X412,X413)
| ~ m1_subset_1(X413,k1_zfmisc_1(X414))
| ~ v1_xboole_0(X414) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])]) ).
fof(i_0_177,plain,
! [X268] :
( ( ~ v3_struct_0(X268)
| v3_struct_0(X268)
| ~ v2_orders_2(X268)
| ~ v3_orders_2(X268)
| ~ v4_orders_2(X268)
| ~ v2_yellow_0(X268)
| ~ v24_waybel_0(X268)
| ~ v25_waybel_0(X268)
| ~ l1_orders_2(X268) )
& ( v2_orders_2(X268)
| v3_struct_0(X268)
| ~ v2_orders_2(X268)
| ~ v3_orders_2(X268)
| ~ v4_orders_2(X268)
| ~ v2_yellow_0(X268)
| ~ v24_waybel_0(X268)
| ~ v25_waybel_0(X268)
| ~ l1_orders_2(X268) )
& ( v3_orders_2(X268)
| v3_struct_0(X268)
| ~ v2_orders_2(X268)
| ~ v3_orders_2(X268)
| ~ v4_orders_2(X268)
| ~ v2_yellow_0(X268)
| ~ v24_waybel_0(X268)
| ~ v25_waybel_0(X268)
| ~ l1_orders_2(X268) )
& ( v4_orders_2(X268)
| v3_struct_0(X268)
| ~ v2_orders_2(X268)
| ~ v3_orders_2(X268)
| ~ v4_orders_2(X268)
| ~ v2_yellow_0(X268)
| ~ v24_waybel_0(X268)
| ~ v25_waybel_0(X268)
| ~ l1_orders_2(X268) )
& ( v1_yellow_0(X268)
| v3_struct_0(X268)
| ~ v2_orders_2(X268)
| ~ v3_orders_2(X268)
| ~ v4_orders_2(X268)
| ~ v2_yellow_0(X268)
| ~ v24_waybel_0(X268)
| ~ v25_waybel_0(X268)
| ~ l1_orders_2(X268) )
& ( v2_yellow_0(X268)
| v3_struct_0(X268)
| ~ v2_orders_2(X268)
| ~ v3_orders_2(X268)
| ~ v4_orders_2(X268)
| ~ v2_yellow_0(X268)
| ~ v24_waybel_0(X268)
| ~ v25_waybel_0(X268)
| ~ l1_orders_2(X268) )
& ( v3_yellow_0(X268)
| v3_struct_0(X268)
| ~ v2_orders_2(X268)
| ~ v3_orders_2(X268)
| ~ v4_orders_2(X268)
| ~ v2_yellow_0(X268)
| ~ v24_waybel_0(X268)
| ~ v25_waybel_0(X268)
| ~ l1_orders_2(X268) )
& ( v24_waybel_0(X268)
| v3_struct_0(X268)
| ~ v2_orders_2(X268)
| ~ v3_orders_2(X268)
| ~ v4_orders_2(X268)
| ~ v2_yellow_0(X268)
| ~ v24_waybel_0(X268)
| ~ v25_waybel_0(X268)
| ~ l1_orders_2(X268) )
& ( v25_waybel_0(X268)
| v3_struct_0(X268)
| ~ v2_orders_2(X268)
| ~ v3_orders_2(X268)
| ~ v4_orders_2(X268)
| ~ v2_yellow_0(X268)
| ~ v24_waybel_0(X268)
| ~ v25_waybel_0(X268)
| ~ l1_orders_2(X268) )
& ( v1_lattice3(X268)
| v3_struct_0(X268)
| ~ v2_orders_2(X268)
| ~ v3_orders_2(X268)
| ~ v4_orders_2(X268)
| ~ v2_yellow_0(X268)
| ~ v24_waybel_0(X268)
| ~ v25_waybel_0(X268)
| ~ l1_orders_2(X268) )
& ( v2_lattice3(X268)
| v3_struct_0(X268)
| ~ v2_orders_2(X268)
| ~ v3_orders_2(X268)
| ~ v4_orders_2(X268)
| ~ v2_yellow_0(X268)
| ~ v24_waybel_0(X268)
| ~ v25_waybel_0(X268)
| ~ l1_orders_2(X268) )
& ( v3_lattice3(X268)
| v3_struct_0(X268)
| ~ v2_orders_2(X268)
| ~ v3_orders_2(X268)
| ~ v4_orders_2(X268)
| ~ v2_yellow_0(X268)
| ~ v24_waybel_0(X268)
| ~ v25_waybel_0(X268)
| ~ l1_orders_2(X268) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_121])])]) ).
fof(i_0_178,plain,
! [X233] :
( ( ~ v3_struct_0(X233)
| v3_struct_0(X233)
| ~ v2_orders_2(X233)
| ~ v3_orders_2(X233)
| ~ v4_orders_2(X233)
| ~ v1_lattice3(X233)
| ~ v1_yellow_0(X233)
| ~ v24_waybel_0(X233)
| ~ l1_orders_2(X233) )
& ( v2_orders_2(X233)
| v3_struct_0(X233)
| ~ v2_orders_2(X233)
| ~ v3_orders_2(X233)
| ~ v4_orders_2(X233)
| ~ v1_lattice3(X233)
| ~ v1_yellow_0(X233)
| ~ v24_waybel_0(X233)
| ~ l1_orders_2(X233) )
& ( v3_orders_2(X233)
| v3_struct_0(X233)
| ~ v2_orders_2(X233)
| ~ v3_orders_2(X233)
| ~ v4_orders_2(X233)
| ~ v1_lattice3(X233)
| ~ v1_yellow_0(X233)
| ~ v24_waybel_0(X233)
| ~ l1_orders_2(X233) )
& ( v4_orders_2(X233)
| v3_struct_0(X233)
| ~ v2_orders_2(X233)
| ~ v3_orders_2(X233)
| ~ v4_orders_2(X233)
| ~ v1_lattice3(X233)
| ~ v1_yellow_0(X233)
| ~ v24_waybel_0(X233)
| ~ l1_orders_2(X233) )
& ( v1_lattice3(X233)
| v3_struct_0(X233)
| ~ v2_orders_2(X233)
| ~ v3_orders_2(X233)
| ~ v4_orders_2(X233)
| ~ v1_lattice3(X233)
| ~ v1_yellow_0(X233)
| ~ v24_waybel_0(X233)
| ~ l1_orders_2(X233) )
& ( v2_lattice3(X233)
| v3_struct_0(X233)
| ~ v2_orders_2(X233)
| ~ v3_orders_2(X233)
| ~ v4_orders_2(X233)
| ~ v1_lattice3(X233)
| ~ v1_yellow_0(X233)
| ~ v24_waybel_0(X233)
| ~ l1_orders_2(X233) )
& ( v3_lattice3(X233)
| v3_struct_0(X233)
| ~ v2_orders_2(X233)
| ~ v3_orders_2(X233)
| ~ v4_orders_2(X233)
| ~ v1_lattice3(X233)
| ~ v1_yellow_0(X233)
| ~ v24_waybel_0(X233)
| ~ l1_orders_2(X233) )
& ( v1_yellow_0(X233)
| v3_struct_0(X233)
| ~ v2_orders_2(X233)
| ~ v3_orders_2(X233)
| ~ v4_orders_2(X233)
| ~ v1_lattice3(X233)
| ~ v1_yellow_0(X233)
| ~ v24_waybel_0(X233)
| ~ l1_orders_2(X233) )
& ( v2_yellow_0(X233)
| v3_struct_0(X233)
| ~ v2_orders_2(X233)
| ~ v3_orders_2(X233)
| ~ v4_orders_2(X233)
| ~ v1_lattice3(X233)
| ~ v1_yellow_0(X233)
| ~ v24_waybel_0(X233)
| ~ l1_orders_2(X233) )
& ( v3_yellow_0(X233)
| v3_struct_0(X233)
| ~ v2_orders_2(X233)
| ~ v3_orders_2(X233)
| ~ v4_orders_2(X233)
| ~ v1_lattice3(X233)
| ~ v1_yellow_0(X233)
| ~ v24_waybel_0(X233)
| ~ l1_orders_2(X233) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_122])])]) ).
fof(i_0_179,plain,
! [X342,X343] :
( ( v1_relat_1(k5_relat_1(X342,X343))
| ~ v1_relat_1(X342)
| ~ v1_funct_1(X342)
| ~ v1_relat_1(X343)
| ~ v1_funct_1(X343) )
& ( v1_funct_1(k5_relat_1(X342,X343))
| ~ v1_relat_1(X342)
| ~ v1_funct_1(X342)
| ~ v1_relat_1(X343)
| ~ v1_funct_1(X343) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc1_funct_1])])]) ).
fof(i_0_180,plain,
! [X351,X352] :
( ( ~ v1_xboole_0(k2_tarski(X351,X352))
| v1_xboole_0(X351)
| v1_xboole_0(X352) )
& ( v1_setfam_1(k2_tarski(X351,X352))
| v1_xboole_0(X351)
| v1_xboole_0(X352) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_123])])]) ).
fof(i_0_181,plain,
! [X383] :
( ( m1_subset_1(esk27_1(X383),k1_zfmisc_1(u1_struct_0(X383)))
| v3_struct_0(X383)
| ~ l1_struct_0(X383) )
& ( ~ v1_xboole_0(esk27_1(X383))
| v3_struct_0(X383)
| ~ l1_struct_0(X383) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_124])])])]) ).
fof(i_0_182,plain,
! [X345,X346] :
( ~ v1_xboole_0(k2_tarski(X345,X346))
& v1_finset_1(k2_tarski(X345,X346)) ),
inference(variable_rename,[status(thm)],[i_0_125]) ).
fof(i_0_183,plain,
! [X407,X408] :
( ( ~ m1_subset_1(X407,k1_zfmisc_1(X408))
| r1_tarski(X407,X408) )
& ( ~ r1_tarski(X407,X408)
| m1_subset_1(X407,k1_zfmisc_1(X408)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])]) ).
fof(i_0_184,plain,
! [X223,X224] :
( ~ r2_hidden(X223,X224)
| ~ r2_hidden(X224,X223) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_126])]) ).
fof(i_0_185,plain,
! [X239] :
( ( ~ v3_struct_0(X239)
| v3_struct_0(X239)
| ~ v2_orders_2(X239)
| ~ v4_orders_2(X239)
| ~ v2_yellow_0(X239)
| ~ v25_waybel_0(X239)
| ~ l1_orders_2(X239) )
& ( v2_orders_2(X239)
| v3_struct_0(X239)
| ~ v2_orders_2(X239)
| ~ v4_orders_2(X239)
| ~ v2_yellow_0(X239)
| ~ v25_waybel_0(X239)
| ~ l1_orders_2(X239) )
& ( v4_orders_2(X239)
| v3_struct_0(X239)
| ~ v2_orders_2(X239)
| ~ v4_orders_2(X239)
| ~ v2_yellow_0(X239)
| ~ v25_waybel_0(X239)
| ~ l1_orders_2(X239) )
& ( v1_lattice3(X239)
| v3_struct_0(X239)
| ~ v2_orders_2(X239)
| ~ v4_orders_2(X239)
| ~ v2_yellow_0(X239)
| ~ v25_waybel_0(X239)
| ~ l1_orders_2(X239) )
& ( v2_yellow_0(X239)
| v3_struct_0(X239)
| ~ v2_orders_2(X239)
| ~ v4_orders_2(X239)
| ~ v2_yellow_0(X239)
| ~ v25_waybel_0(X239)
| ~ l1_orders_2(X239) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_127])])]) ).
fof(i_0_186,plain,
! [X303,X304] :
( ~ v1_relat_1(X303)
| ~ v1_relat_1(X304)
| v1_relat_1(k5_relat_1(X303,X304)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k5_relat_1])]) ).
fof(i_0_187,plain,
! [X333,X334] :
( ~ v1_finset_1(X333)
| ~ v1_finset_1(X334)
| v1_finset_1(k2_zfmisc_1(X333,X334)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc14_finset_1])]) ).
fof(i_0_188,plain,
! [X339,X340] :
( ( v1_membered(k2_tarski(X339,X340))
| ~ v4_ordinal2(X339)
| ~ v4_ordinal2(X340) )
& ( v2_membered(k2_tarski(X339,X340))
| ~ v4_ordinal2(X339)
| ~ v4_ordinal2(X340) )
& ( v3_membered(k2_tarski(X339,X340))
| ~ v4_ordinal2(X339)
| ~ v4_ordinal2(X340) )
& ( v4_membered(k2_tarski(X339,X340))
| ~ v4_ordinal2(X339)
| ~ v4_ordinal2(X340) )
& ( v5_membered(k2_tarski(X339,X340))
| ~ v4_ordinal2(X339)
| ~ v4_ordinal2(X340) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc16_membered])])]) ).
fof(i_0_189,plain,
! [X337,X338] :
( ( v1_membered(k2_tarski(X337,X338))
| ~ v1_int_1(X337)
| ~ v1_int_1(X338) )
& ( v2_membered(k2_tarski(X337,X338))
| ~ v1_int_1(X337)
| ~ v1_int_1(X338) )
& ( v3_membered(k2_tarski(X337,X338))
| ~ v1_int_1(X337)
| ~ v1_int_1(X338) )
& ( v4_membered(k2_tarski(X337,X338))
| ~ v1_int_1(X337)
| ~ v1_int_1(X338) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc15_membered])])]) ).
fof(i_0_190,plain,
! [X335,X336] :
( ( v1_membered(k2_tarski(X335,X336))
| ~ v1_rat_1(X335)
| ~ v1_rat_1(X336) )
& ( v2_membered(k2_tarski(X335,X336))
| ~ v1_rat_1(X335)
| ~ v1_rat_1(X336) )
& ( v3_membered(k2_tarski(X335,X336))
| ~ v1_rat_1(X335)
| ~ v1_rat_1(X336) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc14_membered])])]) ).
fof(i_0_191,plain,
! [X331,X332] :
( ( v1_membered(k2_tarski(X331,X332))
| ~ v1_xreal_0(X331)
| ~ v1_xreal_0(X332) )
& ( v2_membered(k2_tarski(X331,X332))
| ~ v1_xreal_0(X331)
| ~ v1_xreal_0(X332) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc13_membered])])]) ).
fof(i_0_192,plain,
! [X329,X330] :
( ~ v1_xcmplx_0(X329)
| ~ v1_xcmplx_0(X330)
| v1_membered(k2_tarski(X329,X330)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc12_membered])]) ).
fof(i_0_193,plain,
! [X271,X272] :
( ~ v1_finset_1(X271)
| ~ m1_subset_1(X272,k1_zfmisc_1(X271))
| v1_finset_1(X272) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_finset_1])])]) ).
fof(i_0_194,plain,
! [X269,X270] :
( ( v1_membered(X270)
| ~ m1_subset_1(X270,k1_zfmisc_1(X269))
| ~ v5_membered(X269) )
& ( v2_membered(X270)
| ~ m1_subset_1(X270,k1_zfmisc_1(X269))
| ~ v5_membered(X269) )
& ( v3_membered(X270)
| ~ m1_subset_1(X270,k1_zfmisc_1(X269))
| ~ v5_membered(X269) )
& ( v4_membered(X270)
| ~ m1_subset_1(X270,k1_zfmisc_1(X269))
| ~ v5_membered(X269) )
& ( v5_membered(X270)
| ~ m1_subset_1(X270,k1_zfmisc_1(X269))
| ~ v5_membered(X269) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc20_membered])])])]) ).
fof(i_0_195,plain,
! [X247,X248] :
( ( v1_membered(X248)
| ~ m1_subset_1(X248,k1_zfmisc_1(X247))
| ~ v4_membered(X247) )
& ( v2_membered(X248)
| ~ m1_subset_1(X248,k1_zfmisc_1(X247))
| ~ v4_membered(X247) )
& ( v3_membered(X248)
| ~ m1_subset_1(X248,k1_zfmisc_1(X247))
| ~ v4_membered(X247) )
& ( v4_membered(X248)
| ~ m1_subset_1(X248,k1_zfmisc_1(X247))
| ~ v4_membered(X247) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc19_membered])])])]) ).
fof(i_0_196,plain,
! [X245,X246] :
( ( v1_membered(X246)
| ~ m1_subset_1(X246,k1_zfmisc_1(X245))
| ~ v3_membered(X245) )
& ( v2_membered(X246)
| ~ m1_subset_1(X246,k1_zfmisc_1(X245))
| ~ v3_membered(X245) )
& ( v3_membered(X246)
| ~ m1_subset_1(X246,k1_zfmisc_1(X245))
| ~ v3_membered(X245) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc18_membered])])])]) ).
fof(i_0_197,plain,
! [X243,X244] :
( ( v1_membered(X244)
| ~ m1_subset_1(X244,k1_zfmisc_1(X243))
| ~ v2_membered(X243) )
& ( v2_membered(X244)
| ~ m1_subset_1(X244,k1_zfmisc_1(X243))
| ~ v2_membered(X243) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc17_membered])])])]) ).
fof(i_0_198,plain,
! [X241,X242] :
( ~ v1_membered(X241)
| ~ m1_subset_1(X242,k1_zfmisc_1(X241))
| v1_membered(X242) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc16_membered])])]) ).
fof(i_0_199,plain,
! [X405,X406] :
( ~ m1_subset_1(X405,X406)
| v1_xboole_0(X406)
| r2_hidden(X405,X406) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
fof(i_0_200,plain,
! [X256,X257] :
( v1_xboole_0(X256)
| ~ v1_setfam_1(X256)
| ~ m1_subset_1(X257,X256)
| ~ v1_xboole_0(X257) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_128])])]) ).
fof(i_0_201,plain,
! [X418] :
( v3_struct_0(X418)
| ~ v2_orders_2(X418)
| ~ v3_orders_2(X418)
| ~ v4_orders_2(X418)
| ~ l1_orders_2(X418)
| epred1_1(X418) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_129])]) ).
fof(i_0_202,plain,
! [X236] :
( ( ~ v3_struct_0(X236)
| v3_struct_0(X236)
| ~ v2_orders_2(X236)
| ~ v4_orders_2(X236)
| ~ v25_waybel_0(X236)
| ~ l1_orders_2(X236) )
& ( v2_orders_2(X236)
| v3_struct_0(X236)
| ~ v2_orders_2(X236)
| ~ v4_orders_2(X236)
| ~ v25_waybel_0(X236)
| ~ l1_orders_2(X236) )
& ( v4_orders_2(X236)
| v3_struct_0(X236)
| ~ v2_orders_2(X236)
| ~ v4_orders_2(X236)
| ~ v25_waybel_0(X236)
| ~ l1_orders_2(X236) )
& ( v2_lattice3(X236)
| v3_struct_0(X236)
| ~ v2_orders_2(X236)
| ~ v4_orders_2(X236)
| ~ v25_waybel_0(X236)
| ~ l1_orders_2(X236) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_130])])]) ).
fof(i_0_203,plain,
! [X398,X399] :
( ~ r2_hidden(X398,X399)
| m1_subset_1(X398,X399) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).
fof(i_0_204,plain,
! [X287] :
( ( ~ v3_struct_0(X287)
| ~ v2_orders_2(X287)
| ~ v1_lattice3(X287)
| ~ v24_waybel_0(X287)
| ~ l1_orders_2(X287) )
& ( v2_orders_2(X287)
| ~ v2_orders_2(X287)
| ~ v1_lattice3(X287)
| ~ v24_waybel_0(X287)
| ~ l1_orders_2(X287) )
& ( v1_lattice3(X287)
| ~ v2_orders_2(X287)
| ~ v1_lattice3(X287)
| ~ v24_waybel_0(X287)
| ~ l1_orders_2(X287) )
& ( v2_yellow_0(X287)
| ~ v2_orders_2(X287)
| ~ v1_lattice3(X287)
| ~ v24_waybel_0(X287)
| ~ l1_orders_2(X287) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_131])])]) ).
fof(i_0_205,plain,
! [X237,X238] :
( ( v1_xcmplx_0(X238)
| ~ m1_subset_1(X238,X237)
| ~ v5_membered(X237) )
& ( v4_ordinal2(X238)
| ~ m1_subset_1(X238,X237)
| ~ v5_membered(X237) )
& ( v1_xreal_0(X238)
| ~ m1_subset_1(X238,X237)
| ~ v5_membered(X237) )
& ( v1_int_1(X238)
| ~ m1_subset_1(X238,X237)
| ~ v5_membered(X237) )
& ( v1_rat_1(X238)
| ~ m1_subset_1(X238,X237)
| ~ v5_membered(X237) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc14_membered])])])]) ).
fof(i_0_206,plain,
! [X234,X235] :
( ( v1_xcmplx_0(X235)
| ~ m1_subset_1(X235,X234)
| ~ v4_membered(X234) )
& ( v1_xreal_0(X235)
| ~ m1_subset_1(X235,X234)
| ~ v4_membered(X234) )
& ( v1_int_1(X235)
| ~ m1_subset_1(X235,X234)
| ~ v4_membered(X234) )
& ( v1_rat_1(X235)
| ~ m1_subset_1(X235,X234)
| ~ v4_membered(X234) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc13_membered])])])]) ).
fof(i_0_207,plain,
! [X231,X232] :
( ( v1_xcmplx_0(X232)
| ~ m1_subset_1(X232,X231)
| ~ v3_membered(X231) )
& ( v1_xreal_0(X232)
| ~ m1_subset_1(X232,X231)
| ~ v3_membered(X231) )
& ( v1_rat_1(X232)
| ~ m1_subset_1(X232,X231)
| ~ v3_membered(X231) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc12_membered])])])]) ).
fof(i_0_208,plain,
! [X228,X229] :
( ( v1_xcmplx_0(X229)
| ~ m1_subset_1(X229,X228)
| ~ v2_membered(X228) )
& ( v1_xreal_0(X229)
| ~ m1_subset_1(X229,X228)
| ~ v2_membered(X228) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc11_membered])])])]) ).
fof(i_0_209,plain,
! [X225,X226] :
( ~ v1_membered(X225)
| ~ m1_subset_1(X226,X225)
| v1_xcmplx_0(X226) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc10_membered])])]) ).
fof(i_0_210,plain,
! [X378] :
( ( m1_subset_1(esk25_1(X378),k1_zfmisc_1(X378))
| v1_xboole_0(X378) )
& ( ~ v1_xboole_0(esk25_1(X378))
| v1_xboole_0(X378) )
& ( v1_finset_1(esk25_1(X378))
| v1_xboole_0(X378) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_132])])])]) ).
fof(i_0_211,plain,
! [X371] :
( ( m1_subset_1(esk21_1(X371),k1_zfmisc_1(X371))
| v1_xboole_0(X371) )
& ( ~ v1_xboole_0(esk21_1(X371))
| v1_xboole_0(X371) )
& ( v1_finset_1(esk21_1(X371))
| v1_xboole_0(X371) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_133])])])]) ).
fof(i_0_212,plain,
! [X230] :
( ( ~ v3_struct_0(X230)
| v3_struct_0(X230)
| ~ v2_orders_2(X230)
| ~ v25_waybel_0(X230)
| ~ l1_orders_2(X230) )
& ( v2_orders_2(X230)
| v3_struct_0(X230)
| ~ v2_orders_2(X230)
| ~ v25_waybel_0(X230)
| ~ l1_orders_2(X230) )
& ( v1_yellow_0(X230)
| v3_struct_0(X230)
| ~ v2_orders_2(X230)
| ~ v25_waybel_0(X230)
| ~ l1_orders_2(X230) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_134])])]) ).
fof(i_0_213,plain,
! [X227] :
( ( ~ v3_struct_0(X227)
| v3_struct_0(X227)
| ~ v2_orders_2(X227)
| ~ v3_lattice3(X227)
| ~ l1_orders_2(X227) )
& ( v2_orders_2(X227)
| v3_struct_0(X227)
| ~ v2_orders_2(X227)
| ~ v3_lattice3(X227)
| ~ l1_orders_2(X227) )
& ( v24_waybel_0(X227)
| v3_struct_0(X227)
| ~ v2_orders_2(X227)
| ~ v3_lattice3(X227)
| ~ l1_orders_2(X227) )
& ( v25_waybel_0(X227)
| v3_struct_0(X227)
| ~ v2_orders_2(X227)
| ~ v3_lattice3(X227)
| ~ l1_orders_2(X227) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_135])])]) ).
fof(i_0_214,plain,
! [X416,X417] :
( ~ r2_hidden(X416,X417)
| ~ v1_xboole_0(X417) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).
fof(i_0_215,plain,
! [X344] :
( v3_struct_0(X344)
| ~ l1_struct_0(X344)
| ~ v1_xboole_0(u1_struct_0(X344)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_136])]) ).
fof(i_0_216,plain,
! [X288,X289] : k2_tarski(X288,X289) = k2_tarski(X289,X288),
inference(variable_rename,[status(thm)],[commutativity_k2_tarski]) ).
fof(i_0_217,plain,
! [X273] :
( ( v1_relat_1(X273)
| ~ v1_relat_1(X273)
| ~ v1_xboole_0(X273)
| ~ v1_funct_1(X273) )
& ( v1_funct_1(X273)
| ~ v1_relat_1(X273)
| ~ v1_xboole_0(X273)
| ~ v1_funct_1(X273) )
& ( v2_funct_1(X273)
| ~ v1_relat_1(X273)
| ~ v1_xboole_0(X273)
| ~ v1_funct_1(X273) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_funct_1])])]) ).
fof(i_0_218,plain,
! [X280] :
( ~ l1_orders_2(X280)
| ~ v1_yellow_0(X280)
| ~ v2_yellow_0(X280)
| v3_yellow_0(X280) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc5_yellow_0])]) ).
fof(i_0_219,plain,
! [X277] :
( ( ~ v3_struct_0(X277)
| v3_struct_0(X277)
| ~ v3_lattice3(X277)
| ~ l1_orders_2(X277) )
& ( v3_yellow_0(X277)
| v3_struct_0(X277)
| ~ v3_lattice3(X277)
| ~ l1_orders_2(X277) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_137])])]) ).
fof(i_0_220,plain,
! [X267] :
( ( ~ v3_struct_0(X267)
| v3_struct_0(X267)
| ~ v3_lattice3(X267)
| ~ l1_orders_2(X267) )
& ( v1_lattice3(X267)
| v3_struct_0(X267)
| ~ v3_lattice3(X267)
| ~ l1_orders_2(X267) )
& ( v2_lattice3(X267)
| v3_struct_0(X267)
| ~ v3_lattice3(X267)
| ~ l1_orders_2(X267) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_138])])]) ).
fof(i_0_221,plain,
! [X274] :
( ~ l1_orders_2(X274)
| ~ v2_lattice3(X274)
| ~ v3_struct_0(X274) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_139])]) ).
fof(i_0_222,plain,
! [X251] :
( ~ l1_orders_2(X251)
| ~ v1_lattice3(X251)
| ~ v3_struct_0(X251) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_140])]) ).
fof(i_0_223,plain,
! [X347] :
( ( ~ v1_xboole_0(k1_tarski(X347))
| v1_xboole_0(X347) )
& ( v1_setfam_1(k1_tarski(X347))
| v1_xboole_0(X347) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_141])])]) ).
fof(i_0_224,plain,
! [X319] : m1_subset_1(esk9_1(X319),X319),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_subset_1])]) ).
fof(i_0_225,plain,
! [X279] :
( ( v1_yellow_0(X279)
| ~ v3_yellow_0(X279)
| ~ l1_orders_2(X279) )
& ( v2_yellow_0(X279)
| ~ v3_yellow_0(X279)
| ~ l1_orders_2(X279) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc4_yellow_0])])]) ).
fof(i_0_226,plain,
! [X328] :
( ( v1_membered(k1_tarski(X328))
| ~ v4_ordinal2(X328) )
& ( v2_membered(k1_tarski(X328))
| ~ v4_ordinal2(X328) )
& ( v3_membered(k1_tarski(X328))
| ~ v4_ordinal2(X328) )
& ( v4_membered(k1_tarski(X328))
| ~ v4_ordinal2(X328) )
& ( v5_membered(k1_tarski(X328))
| ~ v4_ordinal2(X328) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc11_membered])])]) ).
fof(i_0_227,plain,
! [X327] :
( ( v1_membered(k1_tarski(X327))
| ~ v1_int_1(X327) )
& ( v2_membered(k1_tarski(X327))
| ~ v1_int_1(X327) )
& ( v3_membered(k1_tarski(X327))
| ~ v1_int_1(X327) )
& ( v4_membered(k1_tarski(X327))
| ~ v1_int_1(X327) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc10_membered])])]) ).
fof(i_0_228,plain,
! [X355] :
( ( v1_membered(k1_tarski(X355))
| ~ v1_rat_1(X355) )
& ( v2_membered(k1_tarski(X355))
| ~ v1_rat_1(X355) )
& ( v3_membered(k1_tarski(X355))
| ~ v1_rat_1(X355) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc9_membered])])]) ).
fof(i_0_229,plain,
! [X354] :
( ( v1_membered(k1_tarski(X354))
| ~ v1_xreal_0(X354) )
& ( v2_membered(k1_tarski(X354))
| ~ v1_xreal_0(X354) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc8_membered])])]) ).
fof(i_0_230,plain,
! [X353] :
( ~ v1_xcmplx_0(X353)
| v1_membered(k1_tarski(X353)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc7_membered])]) ).
fof(i_0_231,plain,
! [X341] :
( ~ v1_xboole_0(k1_tarski(X341))
& v1_finset_1(k1_tarski(X341)) ),
inference(variable_rename,[status(thm)],[i_0_142]) ).
fof(i_0_232,plain,
! [X419,X420] :
( ~ v1_xboole_0(X419)
| X419 = X420
| ~ v1_xboole_0(X420) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_boole])]) ).
fof(i_0_233,plain,
! [X397] : r1_tarski(X397,X397),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[reflexivity_r1_tarski])]) ).
fof(i_0_234,plain,
! [X310] :
( ~ l1_orders_2(X310)
| l1_struct_0(X310) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_orders_2])]) ).
fof(i_0_235,plain,
! [X249] :
( ~ v1_xboole_0(X249)
| v1_finset_1(X249) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_finset_1])]) ).
fof(i_0_236,plain,
! [X240] :
( ( v1_membered(X240)
| ~ v1_xboole_0(X240) )
& ( v2_membered(X240)
| ~ v1_xboole_0(X240) )
& ( v3_membered(X240)
| ~ v1_xboole_0(X240) )
& ( v4_membered(X240)
| ~ v1_xboole_0(X240) )
& ( v5_membered(X240)
| ~ v1_xboole_0(X240) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc15_membered])])]) ).
fof(i_0_237,plain,
! [X252] :
( ~ v5_membered(X252)
| v4_membered(X252) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_membered])]) ).
fof(i_0_238,plain,
! [X275] :
( ~ v4_membered(X275)
| v3_membered(X275) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_membered])]) ).
fof(i_0_239,plain,
! [X276] :
( ~ v3_membered(X276)
| v2_membered(X276) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc3_membered])]) ).
fof(i_0_240,plain,
! [X278] :
( ~ v2_membered(X278)
| v1_membered(X278) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc4_membered])]) ).
fof(i_0_241,plain,
! [X250] :
( ~ v1_xboole_0(X250)
| v1_funct_1(X250) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_funct_1])]) ).
fof(i_0_242,plain,
! [X415] :
( ~ v1_xboole_0(X415)
| X415 = k1_xboole_0 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])]) ).
fof(i_0_243,plain,
( ~ v1_xboole_0(esk16_0)
& v1_setfam_1(esk16_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_143])]) ).
fof(i_0_244,plain,
( ~ v1_xboole_0(esk15_0)
& v1_membered(esk15_0)
& v2_membered(esk15_0)
& v3_membered(esk15_0)
& v4_membered(esk15_0)
& v5_membered(esk15_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_144])]) ).
fof(i_0_245,plain,
( ~ v1_xboole_0(esk12_0)
& v1_finset_1(esk12_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_145])]) ).
fof(i_0_246,plain,
( l1_struct_0(esk23_0)
& ~ v3_struct_0(esk23_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_146])]) ).
fof(i_0_247,plain,
( l1_orders_2(esk20_0)
& ~ v3_struct_0(esk20_0)
& v2_orders_2(esk20_0)
& v3_orders_2(esk20_0)
& v4_orders_2(esk20_0)
& v1_lattice3(esk20_0)
& v2_lattice3(esk20_0)
& v3_lattice3(esk20_0)
& v1_yellow_0(esk20_0)
& v2_yellow_0(esk20_0)
& v3_yellow_0(esk20_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_147])]) ).
fof(i_0_248,plain,
l1_struct_0(esk7_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_l1_struct_0])]) ).
fof(i_0_249,plain,
( v1_relat_1(esk22_0)
& v1_funct_1(esk22_0)
& v2_funct_1(esk22_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc3_funct_1])]) ).
fof(i_0_250,plain,
( v1_relat_1(esk19_0)
& v1_xboole_0(esk19_0)
& v1_funct_1(esk19_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc2_funct_1])]) ).
fof(i_0_251,plain,
( v1_relat_1(esk13_0)
& v1_funct_1(esk13_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_funct_1])]) ).
fof(i_0_252,plain,
l1_orders_2(esk6_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_l1_orders_2])]) ).
cnf(i_0_253,plain,
( v3_struct_0(X2)
| v3_struct_0(X3)
| v3_waybel_1(k1_waybel_1(X1,X3,k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X3),X4,X5),k7_funct_2(u1_struct_0(X3),u1_struct_0(X2),u1_struct_0(X1),X7,X6)),X1,X3)
| ~ epred1_1(X1)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ l1_orders_2(X2)
| ~ v2_orders_2(X3)
| ~ v3_orders_2(X3)
| ~ v4_orders_2(X3)
| ~ l1_orders_2(X3)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,u1_struct_0(X2),u1_struct_0(X3))
| ~ m2_relset_1(X5,u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,u1_struct_0(X2),u1_struct_0(X1))
| ~ m2_relset_1(X6,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_1(X7)
| ~ v1_funct_2(X7,u1_struct_0(X3),u1_struct_0(X2))
| ~ m2_relset_1(X7,u1_struct_0(X3),u1_struct_0(X2))
| ~ v3_waybel_1(k1_waybel_1(X1,X2,X4,X6),X1,X2)
| ~ v3_waybel_1(k1_waybel_1(X2,X3,X5,X7),X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_148]),
[final] ).
cnf(i_0_254,negated_conjecture,
k2_waybel34(esk3_0,esk1_0,k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),u1_struct_0(esk3_0),esk4_0,esk5_0)) != k7_funct_2(u1_struct_0(esk3_0),u1_struct_0(esk2_0),u1_struct_0(esk1_0),k2_waybel34(esk3_0,esk2_0,esk5_0),k2_waybel34(esk2_0,esk1_0,esk4_0)),
inference(split_conjunct,[status(thm)],[i_0_149]),
[final] ).
cnf(i_0_255,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v3_struct_0(X3)
| v18_waybel_0(k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X3),X4,X5),X1,X3)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X3)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,u1_struct_0(X2),u1_struct_0(X3))
| ~ m2_relset_1(X5,u1_struct_0(X2),u1_struct_0(X3))
| ~ v18_waybel_0(X4,X1,X2)
| ~ v18_waybel_0(X5,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_150]),
[final] ).
cnf(i_0_256,plain,
( m2_relset_1(k7_funct_2(X1,X2,X3,X4,X5),X1,X3)
| v1_xboole_0(X2)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,X1,X2)
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,X2,X3)
| ~ m1_relset_1(X5,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_151]),
[final] ).
cnf(i_0_257,plain,
( v1_funct_2(k7_funct_2(X1,X2,X3,X4,X5),X1,X3)
| v1_xboole_0(X2)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,X1,X2)
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,X2,X3)
| ~ m1_relset_1(X5,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_151]),
[final] ).
cnf(i_0_258,plain,
( v1_funct_1(k7_funct_2(X1,X2,X3,X4,X5))
| v1_xboole_0(X2)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,X1,X2)
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,X2,X3)
| ~ m1_relset_1(X5,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_151]),
[final] ).
cnf(i_0_259,plain,
( v1_xboole_0(X1)
| k7_funct_2(X3,X1,X5,X2,X4) = k5_relat_1(X2,X4)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X3,X1)
| ~ m1_relset_1(X2,X3,X1)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,X1,X5)
| ~ m1_relset_1(X4,X1,X5) ),
inference(split_conjunct,[status(thm)],[i_0_152]),
[final] ).
cnf(i_0_260,plain,
( X3 = k2_waybel34(X1,X2,X4)
| ~ v3_waybel_1(k1_waybel_1(X1,X2,X3,X4),X1,X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X2)
| ~ v18_waybel_0(X4,X2,X1)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X2),u1_struct_0(X1))
| ~ m2_relset_1(X4,u1_struct_0(X2),u1_struct_0(X1))
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[i_0_153]),
[final] ).
cnf(i_0_261,plain,
( v3_waybel_1(k1_waybel_1(X2,X3,X1,X4),X2,X3)
| X1 != k2_waybel34(X2,X3,X4)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ m2_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v3_lattice3(X2)
| ~ v3_lattice3(X3)
| ~ v18_waybel_0(X4,X3,X2)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X3),u1_struct_0(X2))
| ~ m2_relset_1(X4,u1_struct_0(X3),u1_struct_0(X2))
| ~ v2_orders_2(X3)
| ~ v3_orders_2(X3)
| ~ v4_orders_2(X3)
| ~ v1_lattice3(X3)
| ~ v2_lattice3(X3)
| ~ l1_orders_2(X3)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[i_0_153]),
[final] ).
cnf(i_0_262,plain,
( m1_waybel_1(k1_waybel_1(X1,X2,X3,X4),X1,X2)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X2),u1_struct_0(X1))
| ~ m1_relset_1(X4,u1_struct_0(X2),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_154]),
[final] ).
cnf(i_0_263,plain,
( k1_waybel_1(X1,X2,X3,X4) = k2_tarski(k2_tarski(X3,X4),k1_tarski(X3))
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X4,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_relset_1(X4,u1_struct_0(X2),u1_struct_0(X1))
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(rw,[status(thm)],[i_0_155,c_0_156]),
[final] ).
cnf(i_0_264,plain,
( ~ v1_xboole_0(k2_waybel34(X1,X2,X3))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X2)
| ~ v3_lattice3(X2)
| ~ l1_orders_2(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ v18_waybel_0(X3,X2,X1)
| ~ m1_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_157]),
[final] ).
cnf(i_0_265,plain,
( v1_partfun1(k2_waybel34(X1,X2,X3),u1_struct_0(X1),u1_struct_0(X2))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X2)
| ~ v3_lattice3(X2)
| ~ l1_orders_2(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ v18_waybel_0(X3,X2,X1)
| ~ m1_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_157]),
[final] ).
cnf(i_0_266,plain,
( v1_funct_2(k2_waybel34(X1,X2,X3),u1_struct_0(X1),u1_struct_0(X2))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X2)
| ~ v3_lattice3(X2)
| ~ l1_orders_2(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ v18_waybel_0(X3,X2,X1)
| ~ m1_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_157]),
[final] ).
cnf(i_0_267,plain,
( v21_waybel_0(k2_waybel34(X1,X2,X3),X1,X2)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X2)
| ~ v3_lattice3(X2)
| ~ l1_orders_2(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ v18_waybel_0(X3,X2,X1)
| ~ m1_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_157]),
[final] ).
cnf(i_0_268,plain,
( v17_waybel_0(k2_waybel34(X1,X2,X3),X1,X2)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X2)
| ~ v3_lattice3(X2)
| ~ l1_orders_2(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ v18_waybel_0(X3,X2,X1)
| ~ m1_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_157]),
[final] ).
cnf(i_0_269,plain,
( v4_waybel_1(k2_waybel34(X1,X2,X3),X1,X2)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X2)
| ~ v3_lattice3(X2)
| ~ l1_orders_2(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ v18_waybel_0(X3,X2,X1)
| ~ m1_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_157]),
[final] ).
cnf(i_0_270,plain,
( v19_waybel_0(k2_waybel34(X1,X2,X3),X1,X2)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X2)
| ~ v3_lattice3(X2)
| ~ l1_orders_2(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ v18_waybel_0(X3,X2,X1)
| ~ m1_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_157]),
[final] ).
cnf(i_0_271,plain,
( v5_orders_3(k2_waybel34(X1,X2,X3),X1,X2)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X2)
| ~ v3_lattice3(X2)
| ~ l1_orders_2(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ v18_waybel_0(X3,X2,X1)
| ~ m1_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_157]),
[final] ).
cnf(i_0_272,plain,
( v1_relat_1(k2_waybel34(X1,X2,X3))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X2)
| ~ v3_lattice3(X2)
| ~ l1_orders_2(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ v18_waybel_0(X3,X2,X1)
| ~ m1_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_157]),
[final] ).
cnf(i_0_273,plain,
( v1_funct_1(k2_waybel34(X1,X2,X3))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X2)
| ~ v3_lattice3(X2)
| ~ l1_orders_2(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ v18_waybel_0(X3,X2,X1)
| ~ m1_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_157]),
[final] ).
cnf(i_0_274,plain,
( m2_relset_1(k2_waybel34(X1,X2,X3),u1_struct_0(X1),u1_struct_0(X2))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ m1_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_158]),
[final] ).
cnf(i_0_275,plain,
( v1_funct_2(k2_waybel34(X1,X2,X3),u1_struct_0(X1),u1_struct_0(X2))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ m1_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_158]),
[final] ).
cnf(i_0_276,plain,
( v1_partfun1(X1,u1_struct_0(X2),u1_struct_0(X3))
| v3_struct_0(X2)
| v3_struct_0(X3)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v4_waybel_1(X1,X2,X3)
| ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ l1_orders_2(X2)
| ~ v2_orders_2(X3)
| ~ v3_orders_2(X3)
| ~ v4_orders_2(X3)
| ~ l1_orders_2(X3) ),
inference(split_conjunct,[status(thm)],[i_0_159]),
[final] ).
cnf(i_0_277,plain,
( v5_orders_3(X1,X2,X3)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v19_waybel_0(X1,X2,X3)
| ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2)
| ~ v2_orders_2(X3)
| ~ v3_orders_2(X3)
| ~ v4_orders_2(X3)
| ~ v2_lattice3(X3)
| ~ l1_orders_2(X3) ),
inference(split_conjunct,[status(thm)],[i_0_160]),
[final] ).
cnf(i_0_278,plain,
( v21_waybel_0(X1,X2,X3)
| v3_struct_0(X2)
| v3_struct_0(X3)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v4_waybel_1(X1,X2,X3)
| ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ l1_orders_2(X2)
| ~ v2_orders_2(X3)
| ~ v3_orders_2(X3)
| ~ v4_orders_2(X3)
| ~ l1_orders_2(X3) ),
inference(split_conjunct,[status(thm)],[i_0_159]),
[final] ).
cnf(i_0_279,plain,
( v17_waybel_0(X1,X2,X3)
| v3_struct_0(X2)
| v3_struct_0(X3)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v4_waybel_1(X1,X2,X3)
| ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ l1_orders_2(X2)
| ~ v2_orders_2(X3)
| ~ v3_orders_2(X3)
| ~ v4_orders_2(X3)
| ~ l1_orders_2(X3) ),
inference(split_conjunct,[status(thm)],[i_0_159]),
[final] ).
cnf(i_0_280,plain,
( v19_waybel_0(X1,X2,X3)
| v3_struct_0(X2)
| v3_struct_0(X3)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v4_waybel_1(X1,X2,X3)
| ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ l1_orders_2(X2)
| ~ v2_orders_2(X3)
| ~ v3_orders_2(X3)
| ~ v4_orders_2(X3)
| ~ l1_orders_2(X3) ),
inference(split_conjunct,[status(thm)],[i_0_159]),
[final] ).
cnf(i_0_281,plain,
( v1_partfun1(X1,u1_struct_0(X2),u1_struct_0(X3))
| v3_struct_0(X2)
| v3_struct_0(X3)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v22_waybel_0(X1,X2,X3)
| ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v2_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ l1_orders_2(X2)
| ~ v2_orders_2(X3)
| ~ v4_orders_2(X3)
| ~ l1_orders_2(X3) ),
inference(split_conjunct,[status(thm)],[i_0_161]),
[final] ).
cnf(i_0_282,plain,
( v1_funct_1(k2_waybel34(X1,X2,X3))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ m1_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_158]),
[final] ).
cnf(i_0_283,plain,
( v5_orders_3(X1,X2,X3)
| v3_struct_0(X2)
| v3_struct_0(X3)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v22_waybel_0(X1,X2,X3)
| ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v2_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ l1_orders_2(X2)
| ~ v2_orders_2(X3)
| ~ v4_orders_2(X3)
| ~ l1_orders_2(X3) ),
inference(split_conjunct,[status(thm)],[i_0_161]),
[final] ).
cnf(i_0_284,plain,
( v20_waybel_0(X1,X2,X3)
| v3_struct_0(X2)
| v3_struct_0(X3)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v18_waybel_0(X1,X2,X3)
| ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X3) ),
inference(split_conjunct,[status(thm)],[i_0_162]),
[final] ).
cnf(i_0_285,plain,
( v21_waybel_0(X1,X2,X3)
| v3_struct_0(X2)
| v3_struct_0(X3)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v17_waybel_0(X1,X2,X3)
| ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X3) ),
inference(split_conjunct,[status(thm)],[i_0_163]),
[final] ).
cnf(i_0_286,plain,
( v19_waybel_0(X1,X2,X3)
| v3_struct_0(X2)
| v3_struct_0(X3)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v17_waybel_0(X1,X2,X3)
| ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X3) ),
inference(split_conjunct,[status(thm)],[i_0_163]),
[final] ).
cnf(i_0_287,plain,
( v22_waybel_0(X1,X2,X3)
| v3_struct_0(X2)
| v3_struct_0(X3)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v18_waybel_0(X1,X2,X3)
| ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X3) ),
inference(split_conjunct,[status(thm)],[i_0_162]),
[final] ).
cnf(i_0_288,plain,
( v3_struct_0(X2)
| v3_struct_0(X3)
| ~ v1_xboole_0(X1)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v4_waybel_1(X1,X2,X3)
| ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ l1_orders_2(X2)
| ~ v2_orders_2(X3)
| ~ v3_orders_2(X3)
| ~ v4_orders_2(X3)
| ~ l1_orders_2(X3) ),
inference(split_conjunct,[status(thm)],[i_0_159]),
[final] ).
cnf(i_0_289,plain,
( v3_struct_0(X2)
| v3_struct_0(X3)
| ~ v1_xboole_0(X1)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v22_waybel_0(X1,X2,X3)
| ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v2_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ l1_orders_2(X2)
| ~ v2_orders_2(X3)
| ~ v4_orders_2(X3)
| ~ l1_orders_2(X3) ),
inference(split_conjunct,[status(thm)],[i_0_161]),
[final] ).
cnf(i_0_290,plain,
( m1_waybel_1(esk18_2(X1,X2),X1,X2)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X2)
| ~ v3_lattice3(X2)
| ~ l1_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[i_0_164]),
[final] ).
cnf(i_0_291,plain,
( v3_waybel_1(esk18_2(X1,X2),X1,X2)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X2)
| ~ v3_lattice3(X2)
| ~ l1_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[i_0_164]),
[final] ).
cnf(i_0_292,plain,
( m1_relset_1(esk14_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[i_0_165]),
[final] ).
cnf(i_0_293,plain,
( v1_funct_2(esk14_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[i_0_165]),
[final] ).
cnf(i_0_294,plain,
( v20_waybel_0(esk14_2(X1,X2),X1,X2)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[i_0_165]),
[final] ).
cnf(i_0_295,plain,
( v19_waybel_0(esk14_2(X1,X2),X1,X2)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[i_0_165]),
[final] ).
cnf(i_0_296,plain,
( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_166]),
[final] ).
cnf(i_0_297,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_167]),
[final] ).
cnf(i_0_298,plain,
( m2_relset_1(X1,X2,X3)
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_167]),
[final] ).
cnf(i_0_299,plain,
( v1_partfun1(esk26_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2))
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_yellow_0(X2)
| ~ l1_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[i_0_168]),
[final] ).
cnf(i_0_300,plain,
( v1_partfun1(esk24_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2))
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v2_yellow_0(X2)
| ~ l1_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[i_0_169]),
[final] ).
cnf(i_0_301,plain,
( m1_relset_1(esk26_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2))
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_yellow_0(X2)
| ~ l1_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[i_0_168]),
[final] ).
cnf(i_0_302,plain,
( m1_relset_1(esk24_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2))
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v2_yellow_0(X2)
| ~ l1_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[i_0_169]),
[final] ).
cnf(i_0_303,plain,
( v1_funct_2(esk26_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2))
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_yellow_0(X2)
| ~ l1_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[i_0_168]),
[final] ).
cnf(i_0_304,plain,
( v1_funct_2(esk24_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2))
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v2_yellow_0(X2)
| ~ l1_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[i_0_169]),
[final] ).
cnf(i_0_305,plain,
( v20_waybel_0(esk26_2(X1,X2),X1,X2)
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_yellow_0(X2)
| ~ l1_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[i_0_168]),
[final] ).
cnf(i_0_306,plain,
( v21_waybel_0(esk24_2(X1,X2),X1,X2)
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v2_yellow_0(X2)
| ~ l1_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[i_0_169]),
[final] ).
cnf(i_0_307,plain,
( v17_waybel_0(esk24_2(X1,X2),X1,X2)
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v2_yellow_0(X2)
| ~ l1_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[i_0_169]),
[final] ).
cnf(i_0_308,plain,
( v19_waybel_0(esk24_2(X1,X2),X1,X2)
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v2_yellow_0(X2)
| ~ l1_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[i_0_169]),
[final] ).
cnf(i_0_309,plain,
( v22_waybel_0(esk26_2(X1,X2),X1,X2)
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_yellow_0(X2)
| ~ l1_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[i_0_168]),
[final] ).
cnf(i_0_310,plain,
( v18_waybel_0(esk26_2(X1,X2),X1,X2)
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_yellow_0(X2)
| ~ l1_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[i_0_168]),
[final] ).
cnf(i_0_311,plain,
( v1_partfun1(esk17_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ l1_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[i_0_170]),
[final] ).
cnf(i_0_312,plain,
( m1_relset_1(esk17_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ l1_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[i_0_170]),
[final] ).
cnf(i_0_313,plain,
( v1_funct_2(esk17_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ l1_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[i_0_170]),
[final] ).
cnf(i_0_314,plain,
( v1_relat_1(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
inference(split_conjunct,[status(thm)],[i_0_171]),
[final] ).
cnf(i_0_315,plain,
( v1_relat_1(esk14_2(X1,X2))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[i_0_165]),
[final] ).
cnf(i_0_316,plain,
( v1_funct_1(esk14_2(X1,X2))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[i_0_165]),
[final] ).
cnf(i_0_317,plain,
( v5_orders_3(esk17_2(X1,X2),X1,X2)
| v3_struct_0(X2)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ l1_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[i_0_170]),
[final] ).
cnf(i_0_318,plain,
( m1_waybel_1(esk10_2(X1,X2),X1,X2)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[i_0_172]),
[final] ).
cnf(i_0_319,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| ~ v1_xboole_0(esk24_2(X1,X2))
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v2_yellow_0(X2)
| ~ l1_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[i_0_169]),
[final] ).
cnf(i_0_320,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| ~ v1_xboole_0(esk26_2(X1,X2))
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_yellow_0(X2)
| ~ l1_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[i_0_168]),
[final] ).
cnf(i_0_321,plain,
m1_relset_1(esk8_2(X1,X2),X1,X2),
inference(split_conjunct,[status(thm)],[i_0_173]),
[final] ).
cnf(i_0_322,plain,
m2_relset_1(esk11_2(X1,X2),X1,X2),
inference(split_conjunct,[status(thm)],[i_0_174]),
[final] ).
cnf(i_0_323,plain,
( v1_relat_1(esk26_2(X1,X2))
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_yellow_0(X2)
| ~ l1_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[i_0_168]),
[final] ).
cnf(i_0_324,plain,
( v1_relat_1(esk24_2(X1,X2))
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v2_yellow_0(X2)
| ~ l1_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[i_0_169]),
[final] ).
cnf(i_0_325,plain,
( v1_funct_1(esk26_2(X1,X2))
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_yellow_0(X2)
| ~ l1_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[i_0_168]),
[final] ).
cnf(i_0_326,plain,
( v1_funct_1(esk24_2(X1,X2))
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v2_yellow_0(X2)
| ~ l1_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[i_0_169]),
[final] ).
cnf(i_0_327,plain,
( m1_subset_1(X1,X3)
| ~ r2_hidden(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3)) ),
inference(split_conjunct,[status(thm)],[i_0_175]),
[final] ).
cnf(i_0_328,plain,
( ~ r2_hidden(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| ~ v1_xboole_0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_176]),
[final] ).
cnf(i_0_329,plain,
( v3_yellow_0(X1)
| v3_struct_0(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v2_yellow_0(X1)
| ~ v24_waybel_0(X1)
| ~ v25_waybel_0(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[i_0_177]),
[final] ).
cnf(i_0_330,plain,
( v3_yellow_0(X1)
| v3_struct_0(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v1_yellow_0(X1)
| ~ v24_waybel_0(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[i_0_178]),
[final] ).
cnf(i_0_331,plain,
( v2_yellow_0(X1)
| v3_struct_0(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v1_yellow_0(X1)
| ~ v24_waybel_0(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[i_0_178]),
[final] ).
cnf(i_0_332,plain,
( v1_yellow_0(X1)
| v3_struct_0(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v2_yellow_0(X1)
| ~ v24_waybel_0(X1)
| ~ v25_waybel_0(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[i_0_177]),
[final] ).
cnf(i_0_333,plain,
( v3_lattice3(X1)
| v3_struct_0(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v2_yellow_0(X1)
| ~ v24_waybel_0(X1)
| ~ v25_waybel_0(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[i_0_177]),
[final] ).
cnf(i_0_334,plain,
( v3_lattice3(X1)
| v3_struct_0(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v1_yellow_0(X1)
| ~ v24_waybel_0(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[i_0_178]),
[final] ).
cnf(i_0_335,plain,
( v2_lattice3(X1)
| v3_struct_0(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v2_yellow_0(X1)
| ~ v24_waybel_0(X1)
| ~ v25_waybel_0(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[i_0_177]),
[final] ).
cnf(i_0_336,plain,
( v2_lattice3(X1)
| v3_struct_0(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v1_yellow_0(X1)
| ~ v24_waybel_0(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[i_0_178]),
[final] ).
cnf(i_0_337,plain,
( v1_lattice3(X1)
| v3_struct_0(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v2_yellow_0(X1)
| ~ v24_waybel_0(X1)
| ~ v25_waybel_0(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[i_0_177]),
[final] ).
cnf(i_0_338,negated_conjecture,
m2_relset_1(esk5_0,u1_struct_0(esk2_0),u1_struct_0(esk3_0)),
inference(split_conjunct,[status(thm)],[i_0_149]),
[final] ).
cnf(i_0_339,negated_conjecture,
m2_relset_1(esk4_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(split_conjunct,[status(thm)],[i_0_149]),
[final] ).
cnf(i_0_340,negated_conjecture,
v1_funct_2(esk5_0,u1_struct_0(esk2_0),u1_struct_0(esk3_0)),
inference(split_conjunct,[status(thm)],[i_0_149]),
[final] ).
cnf(i_0_341,negated_conjecture,
v1_funct_2(esk4_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(split_conjunct,[status(thm)],[i_0_149]),
[final] ).
cnf(i_0_342,plain,
( v1_relat_1(k5_relat_1(X1,X2))
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X2) ),
inference(split_conjunct,[status(thm)],[i_0_179]),
[final] ).
cnf(i_0_343,plain,
( v1_funct_1(k5_relat_1(X1,X2))
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X2) ),
inference(split_conjunct,[status(thm)],[i_0_179]),
[final] ).
cnf(i_0_344,plain,
( v1_xboole_0(X1)
| v1_xboole_0(X2)
| ~ v1_xboole_0(k2_tarski(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_180]),
[final] ).
cnf(i_0_345,plain,
( v1_relat_1(esk17_2(X1,X2))
| v3_struct_0(X2)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ l1_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[i_0_170]),
[final] ).
cnf(i_0_346,plain,
( v1_funct_1(esk17_2(X1,X2))
| v3_struct_0(X2)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ l1_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[i_0_170]),
[final] ).
cnf(i_0_347,plain,
( m1_subset_1(esk27_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_181]),
[final] ).
cnf(i_0_348,negated_conjecture,
v18_waybel_0(esk5_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[i_0_149]),
[final] ).
cnf(i_0_349,negated_conjecture,
v18_waybel_0(esk4_0,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[i_0_149]),
[final] ).
cnf(i_0_350,plain,
~ v1_xboole_0(k2_tarski(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_182]),
[final] ).
cnf(i_0_351,plain,
( r1_tarski(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_183]),
[final] ).
cnf(i_0_352,plain,
( ~ r2_hidden(X1,X2)
| ~ r2_hidden(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_184]),
[final] ).
cnf(i_0_353,plain,
( v1_lattice3(X1)
| v3_struct_0(X1)
| ~ v2_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v2_yellow_0(X1)
| ~ v25_waybel_0(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[i_0_185]),
[final] ).
cnf(i_0_354,plain,
( v1_relat_1(k5_relat_1(X1,X2))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X2) ),
inference(split_conjunct,[status(thm)],[i_0_186]),
[final] ).
cnf(i_0_355,plain,
( v1_finset_1(k2_zfmisc_1(X1,X2))
| ~ v1_finset_1(X1)
| ~ v1_finset_1(X2) ),
inference(split_conjunct,[status(thm)],[i_0_187]),
[final] ).
cnf(i_0_356,plain,
( v5_membered(k2_tarski(X1,X2))
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X2) ),
inference(split_conjunct,[status(thm)],[i_0_188]),
[final] ).
cnf(i_0_357,plain,
( v4_membered(k2_tarski(X1,X2))
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X2) ),
inference(split_conjunct,[status(thm)],[i_0_188]),
[final] ).
cnf(i_0_358,plain,
( v4_membered(k2_tarski(X1,X2))
| ~ v1_int_1(X1)
| ~ v1_int_1(X2) ),
inference(split_conjunct,[status(thm)],[i_0_189]),
[final] ).
cnf(i_0_359,plain,
( v3_membered(k2_tarski(X1,X2))
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X2) ),
inference(split_conjunct,[status(thm)],[i_0_188]),
[final] ).
cnf(i_0_360,plain,
( v3_membered(k2_tarski(X1,X2))
| ~ v1_int_1(X1)
| ~ v1_int_1(X2) ),
inference(split_conjunct,[status(thm)],[i_0_189]),
[final] ).
cnf(i_0_361,plain,
( v3_membered(k2_tarski(X1,X2))
| ~ v1_rat_1(X1)
| ~ v1_rat_1(X2) ),
inference(split_conjunct,[status(thm)],[i_0_190]),
[final] ).
cnf(i_0_362,plain,
( v2_membered(k2_tarski(X1,X2))
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X2) ),
inference(split_conjunct,[status(thm)],[i_0_188]),
[final] ).
cnf(i_0_363,plain,
( v2_membered(k2_tarski(X1,X2))
| ~ v1_int_1(X1)
| ~ v1_int_1(X2) ),
inference(split_conjunct,[status(thm)],[i_0_189]),
[final] ).
cnf(i_0_364,plain,
( v2_membered(k2_tarski(X1,X2))
| ~ v1_rat_1(X1)
| ~ v1_rat_1(X2) ),
inference(split_conjunct,[status(thm)],[i_0_190]),
[final] ).
cnf(i_0_365,plain,
( v2_membered(k2_tarski(X1,X2))
| ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_191]),
[final] ).
cnf(i_0_366,plain,
( v1_membered(k2_tarski(X1,X2))
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X2) ),
inference(split_conjunct,[status(thm)],[i_0_188]),
[final] ).
cnf(i_0_367,plain,
( v1_membered(k2_tarski(X1,X2))
| ~ v1_int_1(X1)
| ~ v1_int_1(X2) ),
inference(split_conjunct,[status(thm)],[i_0_189]),
[final] ).
cnf(i_0_368,plain,
( v1_membered(k2_tarski(X1,X2))
| ~ v1_rat_1(X1)
| ~ v1_rat_1(X2) ),
inference(split_conjunct,[status(thm)],[i_0_190]),
[final] ).
cnf(i_0_369,plain,
( v1_membered(k2_tarski(X1,X2))
| ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_191]),
[final] ).
cnf(i_0_370,plain,
( v1_membered(k2_tarski(X1,X2))
| ~ v1_xcmplx_0(X1)
| ~ v1_xcmplx_0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_192]),
[final] ).
cnf(i_0_371,plain,
( v1_finset_1(X2)
| ~ v1_finset_1(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_193]),
[final] ).
cnf(i_0_372,plain,
( v5_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v5_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_194]),
[final] ).
cnf(i_0_373,plain,
( v4_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v5_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_194]),
[final] ).
cnf(i_0_374,plain,
( v4_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v4_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_195]),
[final] ).
cnf(i_0_375,plain,
( v3_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v5_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_194]),
[final] ).
cnf(i_0_376,plain,
( v3_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v4_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_195]),
[final] ).
cnf(i_0_377,plain,
( v3_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v3_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_196]),
[final] ).
cnf(i_0_378,plain,
( v2_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v5_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_194]),
[final] ).
cnf(i_0_379,plain,
( v2_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v4_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_195]),
[final] ).
cnf(i_0_380,plain,
( v2_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v3_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_196]),
[final] ).
cnf(i_0_381,plain,
( v2_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v2_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_197]),
[final] ).
cnf(i_0_382,plain,
( v1_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v5_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_194]),
[final] ).
cnf(i_0_383,plain,
( v1_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v4_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_195]),
[final] ).
cnf(i_0_384,plain,
( v1_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v3_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_196]),
[final] ).
cnf(i_0_385,plain,
( v1_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v2_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_197]),
[final] ).
cnf(i_0_386,plain,
( v1_membered(X2)
| ~ v1_membered(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_198]),
[final] ).
cnf(i_0_387,plain,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_183]),
[final] ).
cnf(i_0_388,plain,
( v1_xboole_0(X2)
| r2_hidden(X1,X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_199]),
[final] ).
cnf(i_0_389,plain,
( v1_xboole_0(X1)
| ~ v1_setfam_1(X1)
| ~ m1_subset_1(X2,X1)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_200]),
[final] ).
cnf(i_0_390,plain,
( v1_setfam_1(k2_tarski(X1,X2))
| v1_xboole_0(X1)
| v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_180]),
[final] ).
cnf(i_0_391,plain,
( v3_struct_0(X1)
| epred1_1(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[i_0_201]),
[final] ).
cnf(i_0_392,plain,
( v2_lattice3(X1)
| v3_struct_0(X1)
| ~ v2_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v25_waybel_0(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[i_0_202]),
[final] ).
cnf(i_0_393,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_203]),
[final] ).
cnf(i_0_394,plain,
( ~ v3_struct_0(X1)
| ~ v2_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v24_waybel_0(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[i_0_204]),
[final] ).
cnf(i_0_395,plain,
( v4_ordinal2(X1)
| ~ m1_subset_1(X1,X2)
| ~ v5_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_205]),
[final] ).
cnf(i_0_396,plain,
( v1_int_1(X1)
| ~ m1_subset_1(X1,X2)
| ~ v5_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_205]),
[final] ).
cnf(i_0_397,plain,
( v1_int_1(X1)
| ~ m1_subset_1(X1,X2)
| ~ v4_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_206]),
[final] ).
cnf(i_0_398,plain,
( v1_rat_1(X1)
| ~ m1_subset_1(X1,X2)
| ~ v5_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_205]),
[final] ).
cnf(i_0_399,plain,
( v1_rat_1(X1)
| ~ m1_subset_1(X1,X2)
| ~ v4_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_206]),
[final] ).
cnf(i_0_400,plain,
( v1_rat_1(X1)
| ~ m1_subset_1(X1,X2)
| ~ v3_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_207]),
[final] ).
cnf(i_0_401,plain,
( v1_xreal_0(X1)
| ~ m1_subset_1(X1,X2)
| ~ v5_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_205]),
[final] ).
cnf(i_0_402,plain,
( v1_xreal_0(X1)
| ~ m1_subset_1(X1,X2)
| ~ v4_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_206]),
[final] ).
cnf(i_0_403,plain,
( v1_xreal_0(X1)
| ~ m1_subset_1(X1,X2)
| ~ v3_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_207]),
[final] ).
cnf(i_0_404,plain,
( v1_xreal_0(X1)
| ~ m1_subset_1(X1,X2)
| ~ v2_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_208]),
[final] ).
cnf(i_0_405,plain,
( v1_xcmplx_0(X1)
| ~ m1_subset_1(X1,X2)
| ~ v5_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_205]),
[final] ).
cnf(i_0_406,plain,
( v1_xcmplx_0(X1)
| ~ m1_subset_1(X1,X2)
| ~ v4_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_206]),
[final] ).
cnf(i_0_407,plain,
( v1_xcmplx_0(X1)
| ~ m1_subset_1(X1,X2)
| ~ v3_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_207]),
[final] ).
cnf(i_0_408,plain,
( v1_xcmplx_0(X1)
| ~ m1_subset_1(X1,X2)
| ~ v2_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_208]),
[final] ).
cnf(i_0_409,plain,
( v1_xcmplx_0(X2)
| ~ v1_membered(X1)
| ~ m1_subset_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_209]),
[final] ).
cnf(i_0_410,plain,
( v2_yellow_0(X1)
| ~ v2_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v24_waybel_0(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[i_0_204]),
[final] ).
cnf(i_0_411,plain,
( m1_subset_1(esk25_1(X1),k1_zfmisc_1(X1))
| v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_210]),
[final] ).
cnf(i_0_412,plain,
( m1_subset_1(esk21_1(X1),k1_zfmisc_1(X1))
| v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_211]),
[final] ).
cnf(i_0_413,plain,
( v1_yellow_0(X1)
| v3_struct_0(X1)
| ~ v2_orders_2(X1)
| ~ v25_waybel_0(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[i_0_212]),
[final] ).
cnf(i_0_414,plain,
( v25_waybel_0(X1)
| v3_struct_0(X1)
| ~ v2_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[i_0_213]),
[final] ).
cnf(i_0_415,plain,
( v24_waybel_0(X1)
| v3_struct_0(X1)
| ~ v2_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[i_0_213]),
[final] ).
cnf(i_0_416,plain,
v1_finset_1(k2_tarski(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_182]),
[final] ).
cnf(i_0_417,plain,
( ~ r2_hidden(X1,X2)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_214]),
[final] ).
cnf(i_0_418,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(esk27_1(X1))
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_181]),
[final] ).
cnf(i_0_419,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_215]),
[final] ).
cnf(i_0_420,plain,
k2_tarski(X1,X2) = k2_tarski(X2,X1),
inference(split_conjunct,[status(thm)],[i_0_216]),
[final] ).
cnf(i_0_421,plain,
( v2_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X1)
| ~ v1_funct_1(X1) ),
inference(split_conjunct,[status(thm)],[i_0_217]),
[final] ).
cnf(i_0_422,plain,
( v3_yellow_0(X1)
| ~ l1_orders_2(X1)
| ~ v1_yellow_0(X1)
| ~ v2_yellow_0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_218]),
[final] ).
cnf(i_0_423,plain,
( v3_yellow_0(X1)
| v3_struct_0(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[i_0_219]),
[final] ).
cnf(i_0_424,plain,
( v2_lattice3(X1)
| v3_struct_0(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[i_0_220]),
[final] ).
cnf(i_0_425,plain,
( v1_lattice3(X1)
| v3_struct_0(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[i_0_220]),
[final] ).
cnf(i_0_426,plain,
( ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_221]),
[final] ).
cnf(i_0_427,plain,
( ~ l1_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_222]),
[final] ).
cnf(i_0_428,plain,
( v1_xboole_0(X1)
| ~ v1_xboole_0(esk25_1(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_210]),
[final] ).
cnf(i_0_429,plain,
( v1_xboole_0(X1)
| ~ v1_xboole_0(esk21_1(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_211]),
[final] ).
cnf(i_0_430,plain,
( v1_xboole_0(X1)
| ~ v1_xboole_0(k1_tarski(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_223]),
[final] ).
cnf(i_0_431,plain,
m1_subset_1(esk9_1(X1),X1),
inference(split_conjunct,[status(thm)],[i_0_224]),
[final] ).
cnf(i_0_432,plain,
( v2_yellow_0(X1)
| ~ v3_yellow_0(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[i_0_225]),
[final] ).
cnf(i_0_433,plain,
( v1_yellow_0(X1)
| ~ v3_yellow_0(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[i_0_225]),
[final] ).
cnf(i_0_434,plain,
( v5_membered(k1_tarski(X1))
| ~ v4_ordinal2(X1) ),
inference(split_conjunct,[status(thm)],[i_0_226]),
[final] ).
cnf(i_0_435,plain,
( v4_membered(k1_tarski(X1))
| ~ v4_ordinal2(X1) ),
inference(split_conjunct,[status(thm)],[i_0_226]),
[final] ).
cnf(i_0_436,plain,
( v4_membered(k1_tarski(X1))
| ~ v1_int_1(X1) ),
inference(split_conjunct,[status(thm)],[i_0_227]),
[final] ).
cnf(i_0_437,plain,
( v3_membered(k1_tarski(X1))
| ~ v4_ordinal2(X1) ),
inference(split_conjunct,[status(thm)],[i_0_226]),
[final] ).
cnf(i_0_438,plain,
( v3_membered(k1_tarski(X1))
| ~ v1_int_1(X1) ),
inference(split_conjunct,[status(thm)],[i_0_227]),
[final] ).
cnf(i_0_439,plain,
( v3_membered(k1_tarski(X1))
| ~ v1_rat_1(X1) ),
inference(split_conjunct,[status(thm)],[i_0_228]),
[final] ).
cnf(i_0_440,plain,
( v2_membered(k1_tarski(X1))
| ~ v4_ordinal2(X1) ),
inference(split_conjunct,[status(thm)],[i_0_226]),
[final] ).
cnf(i_0_441,plain,
( v2_membered(k1_tarski(X1))
| ~ v1_int_1(X1) ),
inference(split_conjunct,[status(thm)],[i_0_227]),
[final] ).
cnf(i_0_442,plain,
( v2_membered(k1_tarski(X1))
| ~ v1_rat_1(X1) ),
inference(split_conjunct,[status(thm)],[i_0_228]),
[final] ).
cnf(i_0_443,plain,
( v2_membered(k1_tarski(X1))
| ~ v1_xreal_0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_229]),
[final] ).
cnf(i_0_444,plain,
( v1_membered(k1_tarski(X1))
| ~ v4_ordinal2(X1) ),
inference(split_conjunct,[status(thm)],[i_0_226]),
[final] ).
cnf(i_0_445,plain,
( v1_membered(k1_tarski(X1))
| ~ v1_int_1(X1) ),
inference(split_conjunct,[status(thm)],[i_0_227]),
[final] ).
cnf(i_0_446,plain,
( v1_membered(k1_tarski(X1))
| ~ v1_rat_1(X1) ),
inference(split_conjunct,[status(thm)],[i_0_228]),
[final] ).
cnf(i_0_447,plain,
( v1_membered(k1_tarski(X1))
| ~ v1_xreal_0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_229]),
[final] ).
cnf(i_0_448,plain,
( v1_membered(k1_tarski(X1))
| ~ v1_xcmplx_0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_230]),
[final] ).
cnf(i_0_449,plain,
~ v1_xboole_0(k1_tarski(X1)),
inference(split_conjunct,[status(thm)],[i_0_231]),
[final] ).
cnf(i_0_450,plain,
( X1 = X2
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_232]),
[final] ).
cnf(i_0_451,plain,
( v1_setfam_1(k1_tarski(X1))
| v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_223]),
[final] ).
cnf(i_0_452,plain,
( v1_finset_1(esk25_1(X1))
| v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_210]),
[final] ).
cnf(i_0_453,plain,
( v1_finset_1(esk21_1(X1))
| v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_211]),
[final] ).
cnf(i_0_454,plain,
r1_tarski(X1,X1),
inference(split_conjunct,[status(thm)],[i_0_233]),
[final] ).
cnf(i_0_455,plain,
( l1_struct_0(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[i_0_234]),
[final] ).
cnf(i_0_456,plain,
( v1_finset_1(X1)
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_235]),
[final] ).
cnf(i_0_457,plain,
( v5_membered(X1)
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_236]),
[final] ).
cnf(i_0_458,plain,
( v4_membered(X1)
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_236]),
[final] ).
cnf(i_0_459,plain,
( v4_membered(X1)
| ~ v5_membered(X1) ),
inference(split_conjunct,[status(thm)],[i_0_237]),
[final] ).
cnf(i_0_460,plain,
( v3_membered(X1)
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_236]),
[final] ).
cnf(i_0_461,plain,
( v3_membered(X1)
| ~ v4_membered(X1) ),
inference(split_conjunct,[status(thm)],[i_0_238]),
[final] ).
cnf(i_0_462,plain,
( v2_membered(X1)
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_236]),
[final] ).
cnf(i_0_463,plain,
( v2_membered(X1)
| ~ v3_membered(X1) ),
inference(split_conjunct,[status(thm)],[i_0_239]),
[final] ).
cnf(i_0_464,plain,
( v1_membered(X1)
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_236]),
[final] ).
cnf(i_0_465,plain,
( v1_membered(X1)
| ~ v2_membered(X1) ),
inference(split_conjunct,[status(thm)],[i_0_240]),
[final] ).
cnf(i_0_466,plain,
( v1_funct_1(X1)
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_241]),
[final] ).
cnf(i_0_467,plain,
v1_finset_1(k1_tarski(X1)),
inference(split_conjunct,[status(thm)],[i_0_231]),
[final] ).
cnf(i_0_468,plain,
( X1 = k1_xboole_0
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_242]),
[final] ).
cnf(i_0_469,plain,
~ v1_xboole_0(esk16_0),
inference(split_conjunct,[status(thm)],[i_0_243]),
[final] ).
cnf(i_0_470,plain,
~ v1_xboole_0(esk15_0),
inference(split_conjunct,[status(thm)],[i_0_244]),
[final] ).
cnf(i_0_471,plain,
~ v1_xboole_0(esk12_0),
inference(split_conjunct,[status(thm)],[i_0_245]),
[final] ).
cnf(i_0_472,plain,
~ v3_struct_0(esk23_0),
inference(split_conjunct,[status(thm)],[i_0_246]),
[final] ).
cnf(i_0_473,plain,
~ v3_struct_0(esk20_0),
inference(split_conjunct,[status(thm)],[i_0_247]),
[final] ).
cnf(i_0_474,plain,
l1_struct_0(esk23_0),
inference(split_conjunct,[status(thm)],[i_0_246]),
[final] ).
cnf(i_0_475,plain,
l1_struct_0(esk7_0),
inference(split_conjunct,[status(thm)],[i_0_248]),
[final] ).
cnf(i_0_476,plain,
v2_funct_1(esk22_0),
inference(split_conjunct,[status(thm)],[i_0_249]),
[final] ).
cnf(i_0_477,plain,
v1_setfam_1(esk16_0),
inference(split_conjunct,[status(thm)],[i_0_243]),
[final] ).
cnf(i_0_478,plain,
v1_relat_1(esk22_0),
inference(split_conjunct,[status(thm)],[i_0_249]),
[final] ).
cnf(i_0_479,plain,
v1_relat_1(esk19_0),
inference(split_conjunct,[status(thm)],[i_0_250]),
[final] ).
cnf(i_0_480,plain,
v1_relat_1(esk13_0),
inference(split_conjunct,[status(thm)],[i_0_251]),
[final] ).
cnf(i_0_481,plain,
v1_finset_1(esk12_0),
inference(split_conjunct,[status(thm)],[i_0_245]),
[final] ).
cnf(i_0_482,plain,
v1_xboole_0(esk19_0),
inference(split_conjunct,[status(thm)],[i_0_250]),
[final] ).
cnf(i_0_483,plain,
v1_xboole_0(k1_xboole_0),
inference(split_conjunct,[status(thm)],[fc6_membered]),
[final] ).
cnf(i_0_484,plain,
v5_membered(esk15_0),
inference(split_conjunct,[status(thm)],[i_0_244]),
[final] ).
cnf(i_0_485,plain,
v5_membered(k1_xboole_0),
inference(split_conjunct,[status(thm)],[fc6_membered]),
[final] ).
cnf(i_0_486,plain,
v4_membered(esk15_0),
inference(split_conjunct,[status(thm)],[i_0_244]),
[final] ).
cnf(i_0_487,plain,
v4_membered(k1_xboole_0),
inference(split_conjunct,[status(thm)],[fc6_membered]),
[final] ).
cnf(i_0_488,plain,
v3_yellow_0(esk20_0),
inference(split_conjunct,[status(thm)],[i_0_247]),
[final] ).
cnf(i_0_489,plain,
v2_yellow_0(esk20_0),
inference(split_conjunct,[status(thm)],[i_0_247]),
[final] ).
cnf(i_0_490,plain,
v3_membered(esk15_0),
inference(split_conjunct,[status(thm)],[i_0_244]),
[final] ).
cnf(i_0_491,plain,
v3_membered(k1_xboole_0),
inference(split_conjunct,[status(thm)],[fc6_membered]),
[final] ).
cnf(i_0_492,plain,
v1_yellow_0(esk20_0),
inference(split_conjunct,[status(thm)],[i_0_247]),
[final] ).
cnf(i_0_493,plain,
v2_membered(esk15_0),
inference(split_conjunct,[status(thm)],[i_0_244]),
[final] ).
cnf(i_0_494,plain,
v2_membered(k1_xboole_0),
inference(split_conjunct,[status(thm)],[fc6_membered]),
[final] ).
cnf(i_0_495,plain,
v1_membered(esk15_0),
inference(split_conjunct,[status(thm)],[i_0_244]),
[final] ).
cnf(i_0_496,plain,
v1_membered(k1_xboole_0),
inference(split_conjunct,[status(thm)],[fc6_membered]),
[final] ).
cnf(i_0_497,plain,
v1_funct_1(esk22_0),
inference(split_conjunct,[status(thm)],[i_0_249]),
[final] ).
cnf(i_0_498,plain,
v1_funct_1(esk19_0),
inference(split_conjunct,[status(thm)],[i_0_250]),
[final] ).
cnf(i_0_499,plain,
v1_funct_1(esk13_0),
inference(split_conjunct,[status(thm)],[i_0_251]),
[final] ).
cnf(i_0_500,negated_conjecture,
v1_funct_1(esk5_0),
inference(split_conjunct,[status(thm)],[i_0_149]),
[final] ).
cnf(i_0_501,negated_conjecture,
v1_funct_1(esk4_0),
inference(split_conjunct,[status(thm)],[i_0_149]),
[final] ).
cnf(i_0_502,plain,
l1_orders_2(esk20_0),
inference(split_conjunct,[status(thm)],[i_0_247]),
[final] ).
cnf(i_0_503,plain,
l1_orders_2(esk6_0),
inference(split_conjunct,[status(thm)],[i_0_252]),
[final] ).
cnf(i_0_504,negated_conjecture,
l1_orders_2(esk3_0),
inference(split_conjunct,[status(thm)],[i_0_149]),
[final] ).
cnf(i_0_505,negated_conjecture,
l1_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[i_0_149]),
[final] ).
cnf(i_0_506,negated_conjecture,
l1_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[i_0_149]),
[final] ).
cnf(i_0_507,plain,
v3_lattice3(esk20_0),
inference(split_conjunct,[status(thm)],[i_0_247]),
[final] ).
cnf(i_0_508,negated_conjecture,
v3_lattice3(esk3_0),
inference(split_conjunct,[status(thm)],[i_0_149]),
[final] ).
cnf(i_0_509,negated_conjecture,
v3_lattice3(esk2_0),
inference(split_conjunct,[status(thm)],[i_0_149]),
[final] ).
cnf(i_0_510,negated_conjecture,
v3_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[i_0_149]),
[final] ).
cnf(i_0_511,plain,
v2_lattice3(esk20_0),
inference(split_conjunct,[status(thm)],[i_0_247]),
[final] ).
cnf(i_0_512,negated_conjecture,
v2_lattice3(esk3_0),
inference(split_conjunct,[status(thm)],[i_0_149]),
[final] ).
cnf(i_0_513,negated_conjecture,
v2_lattice3(esk2_0),
inference(split_conjunct,[status(thm)],[i_0_149]),
[final] ).
cnf(i_0_514,negated_conjecture,
v2_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[i_0_149]),
[final] ).
cnf(i_0_515,plain,
v1_lattice3(esk20_0),
inference(split_conjunct,[status(thm)],[i_0_247]),
[final] ).
cnf(i_0_516,negated_conjecture,
v1_lattice3(esk3_0),
inference(split_conjunct,[status(thm)],[i_0_149]),
[final] ).
cnf(i_0_517,negated_conjecture,
v1_lattice3(esk2_0),
inference(split_conjunct,[status(thm)],[i_0_149]),
[final] ).
cnf(i_0_518,negated_conjecture,
v1_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[i_0_149]),
[final] ).
cnf(i_0_519,plain,
v4_orders_2(esk20_0),
inference(split_conjunct,[status(thm)],[i_0_247]),
[final] ).
cnf(i_0_520,negated_conjecture,
v4_orders_2(esk3_0),
inference(split_conjunct,[status(thm)],[i_0_149]),
[final] ).
cnf(i_0_521,negated_conjecture,
v4_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[i_0_149]),
[final] ).
cnf(i_0_522,negated_conjecture,
v4_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[i_0_149]),
[final] ).
cnf(i_0_523,plain,
v3_orders_2(esk20_0),
inference(split_conjunct,[status(thm)],[i_0_247]),
[final] ).
cnf(i_0_524,negated_conjecture,
v3_orders_2(esk3_0),
inference(split_conjunct,[status(thm)],[i_0_149]),
[final] ).
cnf(i_0_525,negated_conjecture,
v3_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[i_0_149]),
[final] ).
cnf(i_0_526,negated_conjecture,
v3_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[i_0_149]),
[final] ).
cnf(i_0_527,plain,
v2_orders_2(esk20_0),
inference(split_conjunct,[status(thm)],[i_0_247]),
[final] ).
cnf(i_0_528,negated_conjecture,
v2_orders_2(esk3_0),
inference(split_conjunct,[status(thm)],[i_0_149]),
[final] ).
cnf(i_0_529,negated_conjecture,
v2_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[i_0_149]),
[final] ).
cnf(i_0_530,negated_conjecture,
v2_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[i_0_149]),
[final] ).
cnf(i_0_531,axiom,
X1 = X1 ).
cnf(i_0_532,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_533,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_534,axiom,
( X1 != X2
| k1_waybel_1(X1,X3,X4,X5) = k1_waybel_1(X2,X3,X4,X5) ) ).
cnf(i_0_535,axiom,
( X1 != X2
| k1_waybel_1(X3,X1,X4,X5) = k1_waybel_1(X3,X2,X4,X5) ) ).
cnf(i_0_536,axiom,
( X1 != X2
| k1_waybel_1(X3,X4,X1,X5) = k1_waybel_1(X3,X4,X2,X5) ) ).
cnf(i_0_537,axiom,
( X1 != X2
| k1_waybel_1(X3,X4,X5,X1) = k1_waybel_1(X3,X4,X5,X2) ) ).
cnf(i_0_538,axiom,
( X1 != X2
| k7_funct_2(X1,X3,X4,X5,X6) = k7_funct_2(X2,X3,X4,X5,X6) ) ).
cnf(i_0_539,axiom,
( X1 != X2
| k7_funct_2(X3,X1,X4,X5,X6) = k7_funct_2(X3,X2,X4,X5,X6) ) ).
cnf(i_0_540,axiom,
( X1 != X2
| k7_funct_2(X3,X4,X1,X5,X6) = k7_funct_2(X3,X4,X2,X5,X6) ) ).
cnf(i_0_541,axiom,
( X1 != X2
| k7_funct_2(X3,X4,X5,X1,X6) = k7_funct_2(X3,X4,X5,X2,X6) ) ).
cnf(i_0_542,axiom,
( X1 != X2
| k7_funct_2(X3,X4,X5,X6,X1) = k7_funct_2(X3,X4,X5,X6,X2) ) ).
cnf(i_0_543,axiom,
( X1 != X2
| k2_waybel34(X1,X3,X4) = k2_waybel34(X2,X3,X4) ) ).
cnf(i_0_544,axiom,
( X1 != X2
| k2_waybel34(X3,X1,X4) = k2_waybel34(X3,X2,X4) ) ).
cnf(i_0_545,axiom,
( X1 != X2
| k2_waybel34(X3,X4,X1) = k2_waybel34(X3,X4,X2) ) ).
cnf(i_0_546,axiom,
( X1 != X2
| k5_relat_1(X1,X3) = k5_relat_1(X2,X3) ) ).
cnf(i_0_547,axiom,
( X1 != X2
| k5_relat_1(X3,X1) = k5_relat_1(X3,X2) ) ).
cnf(i_0_548,axiom,
( X1 != X2
| k2_tarski(X1,X3) = k2_tarski(X2,X3) ) ).
cnf(i_0_549,axiom,
( X1 != X2
| k2_tarski(X3,X1) = k2_tarski(X3,X2) ) ).
cnf(i_0_550,axiom,
( X1 != X2
| ~ v3_struct_0(X1)
| v3_struct_0(X2) ) ).
cnf(i_0_551,axiom,
( X1 != X2
| ~ m2_relset_1(X1,X3,X4)
| m2_relset_1(X2,X3,X4) ) ).
cnf(i_0_552,axiom,
( X1 != X2
| ~ m2_relset_1(X3,X1,X4)
| m2_relset_1(X3,X2,X4) ) ).
cnf(i_0_553,axiom,
( X1 != X2
| ~ m2_relset_1(X3,X4,X1)
| m2_relset_1(X3,X4,X2) ) ).
cnf(i_0_554,axiom,
( X1 != X2
| ~ v18_waybel_0(X1,X3,X4)
| v18_waybel_0(X2,X3,X4) ) ).
cnf(i_0_555,axiom,
( X1 != X2
| ~ v18_waybel_0(X3,X1,X4)
| v18_waybel_0(X3,X2,X4) ) ).
cnf(i_0_556,axiom,
( X1 != X2
| ~ v18_waybel_0(X3,X4,X1)
| v18_waybel_0(X3,X4,X2) ) ).
cnf(i_0_557,axiom,
( X1 != X2
| ~ v1_xboole_0(X1)
| v1_xboole_0(X2) ) ).
cnf(i_0_558,axiom,
( X1 != X2
| ~ m1_relset_1(X1,X3,X4)
| m1_relset_1(X2,X3,X4) ) ).
cnf(i_0_559,axiom,
( X1 != X2
| ~ m1_relset_1(X3,X1,X4)
| m1_relset_1(X3,X2,X4) ) ).
cnf(i_0_560,axiom,
( X1 != X2
| ~ m1_relset_1(X3,X4,X1)
| m1_relset_1(X3,X4,X2) ) ).
cnf(i_0_561,axiom,
( X1 != X2
| ~ v3_lattice3(X1)
| v3_lattice3(X2) ) ).
cnf(i_0_562,axiom,
( X1 != X2
| ~ v1_lattice3(X1)
| v1_lattice3(X2) ) ).
cnf(i_0_563,axiom,
( X1 != X2
| ~ v2_lattice3(X1)
| v2_lattice3(X2) ) ).
cnf(i_0_564,axiom,
( X1 != X2
| ~ m1_waybel_1(X1,X3,X4)
| m1_waybel_1(X2,X3,X4) ) ).
cnf(i_0_565,axiom,
( X1 != X2
| ~ m1_waybel_1(X3,X1,X4)
| m1_waybel_1(X3,X2,X4) ) ).
cnf(i_0_566,axiom,
( X1 != X2
| ~ m1_waybel_1(X3,X4,X1)
| m1_waybel_1(X3,X4,X2) ) ).
cnf(i_0_567,axiom,
( X1 != X2
| ~ v1_partfun1(X1,X3,X4)
| v1_partfun1(X2,X3,X4) ) ).
cnf(i_0_568,axiom,
( X1 != X2
| ~ v1_partfun1(X3,X1,X4)
| v1_partfun1(X3,X2,X4) ) ).
cnf(i_0_569,axiom,
( X1 != X2
| ~ v1_partfun1(X3,X4,X1)
| v1_partfun1(X3,X4,X2) ) ).
cnf(i_0_570,axiom,
( X1 != X2
| ~ v21_waybel_0(X1,X3,X4)
| v21_waybel_0(X2,X3,X4) ) ).
cnf(i_0_571,axiom,
( X1 != X2
| ~ v21_waybel_0(X3,X1,X4)
| v21_waybel_0(X3,X2,X4) ) ).
cnf(i_0_572,axiom,
( X1 != X2
| ~ v21_waybel_0(X3,X4,X1)
| v21_waybel_0(X3,X4,X2) ) ).
cnf(i_0_573,axiom,
( X1 != X2
| ~ v3_waybel_1(X1,X3,X4)
| v3_waybel_1(X2,X3,X4) ) ).
cnf(i_0_574,axiom,
( X1 != X2
| ~ v3_waybel_1(X3,X1,X4)
| v3_waybel_1(X3,X2,X4) ) ).
cnf(i_0_575,axiom,
( X1 != X2
| ~ v3_waybel_1(X3,X4,X1)
| v3_waybel_1(X3,X4,X2) ) ).
cnf(i_0_576,axiom,
( X1 != X2
| ~ v17_waybel_0(X1,X3,X4)
| v17_waybel_0(X2,X3,X4) ) ).
cnf(i_0_577,axiom,
( X1 != X2
| ~ v17_waybel_0(X3,X1,X4)
| v17_waybel_0(X3,X2,X4) ) ).
cnf(i_0_578,axiom,
( X1 != X2
| ~ v17_waybel_0(X3,X4,X1)
| v17_waybel_0(X3,X4,X2) ) ).
cnf(i_0_579,axiom,
( X1 != X2
| ~ v4_waybel_1(X1,X3,X4)
| v4_waybel_1(X2,X3,X4) ) ).
cnf(i_0_580,axiom,
( X1 != X2
| ~ v4_waybel_1(X3,X1,X4)
| v4_waybel_1(X3,X2,X4) ) ).
cnf(i_0_581,axiom,
( X1 != X2
| ~ v4_waybel_1(X3,X4,X1)
| v4_waybel_1(X3,X4,X2) ) ).
cnf(i_0_582,axiom,
( X1 != X2
| ~ v19_waybel_0(X1,X3,X4)
| v19_waybel_0(X2,X3,X4) ) ).
cnf(i_0_583,axiom,
( X1 != X2
| ~ v19_waybel_0(X3,X1,X4)
| v19_waybel_0(X3,X2,X4) ) ).
cnf(i_0_584,axiom,
( X1 != X2
| ~ v19_waybel_0(X3,X4,X1)
| v19_waybel_0(X3,X4,X2) ) ).
cnf(i_0_585,axiom,
( X1 != X2
| ~ v5_orders_3(X1,X3,X4)
| v5_orders_3(X2,X3,X4) ) ).
cnf(i_0_586,axiom,
( X1 != X2
| ~ v5_orders_3(X3,X1,X4)
| v5_orders_3(X3,X2,X4) ) ).
cnf(i_0_587,axiom,
( X1 != X2
| ~ v5_orders_3(X3,X4,X1)
| v5_orders_3(X3,X4,X2) ) ).
cnf(i_0_588,axiom,
( X1 != X2
| ~ v1_relat_1(X1)
| v1_relat_1(X2) ) ).
cnf(i_0_589,axiom,
( X1 != X2
| ~ v22_waybel_0(X1,X3,X4)
| v22_waybel_0(X2,X3,X4) ) ).
cnf(i_0_590,axiom,
( X1 != X2
| ~ v22_waybel_0(X3,X1,X4)
| v22_waybel_0(X3,X2,X4) ) ).
cnf(i_0_591,axiom,
( X1 != X2
| ~ v22_waybel_0(X3,X4,X1)
| v22_waybel_0(X3,X4,X2) ) ).
cnf(i_0_592,axiom,
( X1 != X2
| ~ v20_waybel_0(X1,X3,X4)
| v20_waybel_0(X2,X3,X4) ) ).
cnf(i_0_593,axiom,
( X1 != X2
| ~ v20_waybel_0(X3,X1,X4)
| v20_waybel_0(X3,X2,X4) ) ).
cnf(i_0_594,axiom,
( X1 != X2
| ~ v20_waybel_0(X3,X4,X1)
| v20_waybel_0(X3,X4,X2) ) ).
cnf(i_0_595,axiom,
( X1 != X2
| ~ m1_subset_1(X1,X3)
| m1_subset_1(X2,X3) ) ).
cnf(i_0_596,axiom,
( X1 != X2
| ~ m1_subset_1(X3,X1)
| m1_subset_1(X3,X2) ) ).
cnf(i_0_597,axiom,
( X1 != X2
| ~ v1_yellow_0(X1)
| v1_yellow_0(X2) ) ).
cnf(i_0_598,axiom,
( X1 != X2
| ~ v2_yellow_0(X1)
| v2_yellow_0(X2) ) ).
cnf(i_0_599,axiom,
( X1 != X2
| ~ epred1_1(X1)
| epred1_1(X2) ) ).
cnf(i_0_600,axiom,
( X1 != X2
| ~ r2_hidden(X1,X3)
| r2_hidden(X2,X3) ) ).
cnf(i_0_601,axiom,
( X1 != X2
| ~ r2_hidden(X3,X1)
| r2_hidden(X3,X2) ) ).
cnf(i_0_602,axiom,
( X1 != X2
| ~ v3_yellow_0(X1)
| v3_yellow_0(X2) ) ).
cnf(i_0_603,axiom,
( X1 != X2
| ~ v24_waybel_0(X1)
| v24_waybel_0(X2) ) ).
cnf(i_0_604,axiom,
( X1 != X2
| ~ v25_waybel_0(X1)
| v25_waybel_0(X2) ) ).
cnf(i_0_605,axiom,
( X1 != X2
| ~ l1_struct_0(X1)
| l1_struct_0(X2) ) ).
cnf(i_0_606,axiom,
( X1 != X2
| ~ r1_tarski(X1,X3)
| r1_tarski(X2,X3) ) ).
cnf(i_0_607,axiom,
( X1 != X2
| ~ r1_tarski(X3,X1)
| r1_tarski(X3,X2) ) ).
cnf(i_0_608,axiom,
( X1 != X2
| ~ v1_finset_1(X1)
| v1_finset_1(X2) ) ).
cnf(i_0_609,axiom,
( X1 != X2
| ~ v5_membered(X1)
| v5_membered(X2) ) ).
cnf(i_0_610,axiom,
( X1 != X2
| ~ v4_ordinal2(X1)
| v4_ordinal2(X2) ) ).
cnf(i_0_611,axiom,
( X1 != X2
| ~ v4_membered(X1)
| v4_membered(X2) ) ).
cnf(i_0_612,axiom,
( X1 != X2
| ~ v2_orders_2(X1)
| v2_orders_2(X2) ) ).
cnf(i_0_613,axiom,
( X1 != X2
| ~ v1_int_1(X1)
| v1_int_1(X2) ) ).
cnf(i_0_614,axiom,
( X1 != X2
| ~ v3_membered(X1)
| v3_membered(X2) ) ).
cnf(i_0_615,axiom,
( X1 != X2
| ~ v1_rat_1(X1)
| v1_rat_1(X2) ) ).
cnf(i_0_616,axiom,
( X1 != X2
| ~ v2_membered(X1)
| v2_membered(X2) ) ).
cnf(i_0_617,axiom,
( X1 != X2
| ~ v1_xreal_0(X1)
| v1_xreal_0(X2) ) ).
cnf(i_0_618,axiom,
( X1 != X2
| ~ v1_membered(X1)
| v1_membered(X2) ) ).
cnf(i_0_619,axiom,
( X1 != X2
| ~ v1_xcmplx_0(X1)
| v1_xcmplx_0(X2) ) ).
cnf(i_0_620,axiom,
( X1 != X2
| ~ v1_setfam_1(X1)
| v1_setfam_1(X2) ) ).
cnf(i_0_621,axiom,
( X1 != X2
| ~ v2_funct_1(X1)
| v2_funct_1(X2) ) ).
cnf(i_0_622,axiom,
( X1 != X2
| ~ v3_orders_2(X1)
| v3_orders_2(X2) ) ).
cnf(i_0_623,axiom,
( X1 != X2
| ~ v4_orders_2(X1)
| v4_orders_2(X2) ) ).
cnf(i_0_624,axiom,
( X1 != X2
| ~ l1_orders_2(X1)
| l1_orders_2(X2) ) ).
cnf(i_0_625,axiom,
( X1 != X2
| ~ v1_funct_1(X1)
| v1_funct_1(X2) ) ).
cnf(i_0_626,axiom,
( X1 != X2
| ~ v1_funct_2(X1,X3,X4)
| v1_funct_2(X2,X3,X4) ) ).
cnf(i_0_627,axiom,
( X1 != X2
| ~ v1_funct_2(X3,X1,X4)
| v1_funct_2(X3,X2,X4) ) ).
cnf(i_0_628,axiom,
( X1 != X2
| ~ v1_funct_2(X3,X4,X1)
| v1_funct_2(X3,X4,X2) ) ).
cnf(i_0_735,plain,
v25_waybel_0(esk20_0),
inference(scs_inference,[],[i_0_504,i_0_505,i_0_508,i_0_512,i_0_517,i_0_338,i_0_321,i_0_431,i_0_637,i_0_640,i_0_664,i_0_667,i_0_670,i_0_673,i_0_676,i_0_679,i_0_682,i_0_685,i_0_688,i_0_691,i_0_694,i_0_697,i_0_700,i_0_703,i_0_706,i_0_709,i_0_712,i_0_715,i_0_718,i_0_721,i_0_724,i_0_469,i_0_473,i_0_477,i_0_479,i_0_481,i_0_482,i_0_483,i_0_484,i_0_487,i_0_498,i_0_502,i_0_507,i_0_527,i_0_297,i_0_455,i_0_298,i_0_314,i_0_351,i_0_417,i_0_456,i_0_457,i_0_458,i_0_460,i_0_462,i_0_464,i_0_466,i_0_426,i_0_427,i_0_557,i_0_328,i_0_371,i_0_372,i_0_373,i_0_375,i_0_378,i_0_382,i_0_388,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_408,i_0_421,i_0_423,i_0_389,i_0_414]) ).
cnf(i_0_737,plain,
v24_waybel_0(esk20_0),
inference(scs_inference,[],[i_0_504,i_0_505,i_0_508,i_0_512,i_0_517,i_0_338,i_0_321,i_0_431,i_0_637,i_0_640,i_0_664,i_0_667,i_0_670,i_0_673,i_0_676,i_0_679,i_0_682,i_0_685,i_0_688,i_0_691,i_0_694,i_0_697,i_0_700,i_0_703,i_0_706,i_0_709,i_0_712,i_0_715,i_0_718,i_0_721,i_0_724,i_0_469,i_0_473,i_0_477,i_0_479,i_0_481,i_0_482,i_0_483,i_0_484,i_0_487,i_0_498,i_0_502,i_0_507,i_0_527,i_0_297,i_0_455,i_0_298,i_0_314,i_0_351,i_0_417,i_0_456,i_0_457,i_0_458,i_0_460,i_0_462,i_0_464,i_0_466,i_0_426,i_0_427,i_0_557,i_0_328,i_0_371,i_0_372,i_0_373,i_0_375,i_0_378,i_0_382,i_0_388,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_408,i_0_421,i_0_423,i_0_389,i_0_414,i_0_415]) ).
cnf(i_0_739,plain,
v20_waybel_0(esk5_0,esk2_0,esk3_0),
inference(scs_inference,[],[i_0_348,i_0_500,i_0_504,i_0_505,i_0_508,i_0_512,i_0_517,i_0_338,i_0_340,i_0_321,i_0_431,i_0_637,i_0_640,i_0_664,i_0_667,i_0_670,i_0_673,i_0_676,i_0_679,i_0_682,i_0_685,i_0_688,i_0_691,i_0_694,i_0_697,i_0_700,i_0_703,i_0_706,i_0_709,i_0_712,i_0_715,i_0_718,i_0_721,i_0_724,i_0_469,i_0_473,i_0_477,i_0_479,i_0_481,i_0_482,i_0_483,i_0_484,i_0_487,i_0_498,i_0_502,i_0_507,i_0_527,i_0_297,i_0_455,i_0_298,i_0_314,i_0_351,i_0_417,i_0_456,i_0_457,i_0_458,i_0_460,i_0_462,i_0_464,i_0_466,i_0_426,i_0_427,i_0_557,i_0_328,i_0_371,i_0_372,i_0_373,i_0_375,i_0_378,i_0_382,i_0_388,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_408,i_0_421,i_0_423,i_0_389,i_0_414,i_0_415,i_0_284]) ).
cnf(i_0_741,plain,
v22_waybel_0(esk5_0,esk2_0,esk3_0),
inference(scs_inference,[],[i_0_348,i_0_500,i_0_504,i_0_505,i_0_508,i_0_512,i_0_517,i_0_338,i_0_340,i_0_321,i_0_431,i_0_637,i_0_640,i_0_664,i_0_667,i_0_670,i_0_673,i_0_676,i_0_679,i_0_682,i_0_685,i_0_688,i_0_691,i_0_694,i_0_697,i_0_700,i_0_703,i_0_706,i_0_709,i_0_712,i_0_715,i_0_718,i_0_721,i_0_724,i_0_469,i_0_473,i_0_477,i_0_479,i_0_481,i_0_482,i_0_483,i_0_484,i_0_487,i_0_498,i_0_502,i_0_507,i_0_527,i_0_297,i_0_455,i_0_298,i_0_314,i_0_351,i_0_417,i_0_456,i_0_457,i_0_458,i_0_460,i_0_462,i_0_464,i_0_466,i_0_426,i_0_427,i_0_557,i_0_328,i_0_371,i_0_372,i_0_373,i_0_375,i_0_378,i_0_382,i_0_388,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_408,i_0_421,i_0_423,i_0_389,i_0_414,i_0_415,i_0_284,i_0_287]) ).
cnf(i_0_743,plain,
v5_orders_3(esk5_0,esk2_0,esk3_0),
inference(scs_inference,[],[i_0_348,i_0_500,i_0_504,i_0_505,i_0_508,i_0_512,i_0_517,i_0_520,i_0_521,i_0_528,i_0_529,i_0_338,i_0_340,i_0_321,i_0_431,i_0_637,i_0_640,i_0_664,i_0_667,i_0_670,i_0_673,i_0_676,i_0_679,i_0_682,i_0_685,i_0_688,i_0_691,i_0_694,i_0_697,i_0_700,i_0_703,i_0_706,i_0_709,i_0_712,i_0_715,i_0_718,i_0_721,i_0_724,i_0_469,i_0_473,i_0_477,i_0_479,i_0_481,i_0_482,i_0_483,i_0_484,i_0_487,i_0_498,i_0_502,i_0_507,i_0_527,i_0_297,i_0_455,i_0_298,i_0_314,i_0_351,i_0_417,i_0_456,i_0_457,i_0_458,i_0_460,i_0_462,i_0_464,i_0_466,i_0_426,i_0_427,i_0_557,i_0_328,i_0_371,i_0_372,i_0_373,i_0_375,i_0_378,i_0_382,i_0_388,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_408,i_0_421,i_0_423,i_0_389,i_0_414,i_0_415,i_0_284,i_0_287,i_0_283]) ).
cnf(i_0_745,plain,
~ v1_xboole_0(esk5_0),
inference(scs_inference,[],[i_0_348,i_0_500,i_0_504,i_0_505,i_0_508,i_0_512,i_0_517,i_0_520,i_0_521,i_0_528,i_0_529,i_0_338,i_0_340,i_0_321,i_0_431,i_0_637,i_0_640,i_0_664,i_0_667,i_0_670,i_0_673,i_0_676,i_0_679,i_0_682,i_0_685,i_0_688,i_0_691,i_0_694,i_0_697,i_0_700,i_0_703,i_0_706,i_0_709,i_0_712,i_0_715,i_0_718,i_0_721,i_0_724,i_0_469,i_0_473,i_0_477,i_0_479,i_0_481,i_0_482,i_0_483,i_0_484,i_0_487,i_0_498,i_0_502,i_0_507,i_0_527,i_0_297,i_0_455,i_0_298,i_0_314,i_0_351,i_0_417,i_0_456,i_0_457,i_0_458,i_0_460,i_0_462,i_0_464,i_0_466,i_0_426,i_0_427,i_0_557,i_0_328,i_0_371,i_0_372,i_0_373,i_0_375,i_0_378,i_0_382,i_0_388,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_408,i_0_421,i_0_423,i_0_389,i_0_414,i_0_415,i_0_284,i_0_287,i_0_283,i_0_289]) ).
cnf(i_0_747,plain,
m2_relset_1(k2_waybel34(esk3_0,esk2_0,esk5_0),u1_struct_0(esk3_0),u1_struct_0(esk2_0)),
inference(scs_inference,[],[i_0_348,i_0_500,i_0_504,i_0_505,i_0_508,i_0_512,i_0_513,i_0_516,i_0_517,i_0_520,i_0_521,i_0_524,i_0_525,i_0_528,i_0_529,i_0_338,i_0_340,i_0_321,i_0_431,i_0_637,i_0_640,i_0_664,i_0_667,i_0_670,i_0_673,i_0_676,i_0_679,i_0_682,i_0_685,i_0_688,i_0_691,i_0_694,i_0_697,i_0_700,i_0_703,i_0_706,i_0_709,i_0_712,i_0_715,i_0_718,i_0_721,i_0_724,i_0_469,i_0_473,i_0_477,i_0_479,i_0_481,i_0_482,i_0_483,i_0_484,i_0_487,i_0_498,i_0_502,i_0_507,i_0_527,i_0_297,i_0_455,i_0_298,i_0_314,i_0_351,i_0_417,i_0_456,i_0_457,i_0_458,i_0_460,i_0_462,i_0_464,i_0_466,i_0_426,i_0_427,i_0_557,i_0_328,i_0_371,i_0_372,i_0_373,i_0_375,i_0_378,i_0_382,i_0_388,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_408,i_0_421,i_0_423,i_0_389,i_0_414,i_0_415,i_0_284,i_0_287,i_0_283,i_0_289,i_0_274]) ).
cnf(i_0_749,plain,
v1_funct_2(k2_waybel34(esk3_0,esk2_0,esk5_0),u1_struct_0(esk3_0),u1_struct_0(esk2_0)),
inference(scs_inference,[],[i_0_348,i_0_500,i_0_504,i_0_505,i_0_508,i_0_512,i_0_513,i_0_516,i_0_517,i_0_520,i_0_521,i_0_524,i_0_525,i_0_528,i_0_529,i_0_338,i_0_340,i_0_321,i_0_431,i_0_637,i_0_640,i_0_664,i_0_667,i_0_670,i_0_673,i_0_676,i_0_679,i_0_682,i_0_685,i_0_688,i_0_691,i_0_694,i_0_697,i_0_700,i_0_703,i_0_706,i_0_709,i_0_712,i_0_715,i_0_718,i_0_721,i_0_724,i_0_469,i_0_473,i_0_477,i_0_479,i_0_481,i_0_482,i_0_483,i_0_484,i_0_487,i_0_498,i_0_502,i_0_507,i_0_527,i_0_297,i_0_455,i_0_298,i_0_314,i_0_351,i_0_417,i_0_456,i_0_457,i_0_458,i_0_460,i_0_462,i_0_464,i_0_466,i_0_426,i_0_427,i_0_557,i_0_328,i_0_371,i_0_372,i_0_373,i_0_375,i_0_378,i_0_382,i_0_388,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_408,i_0_421,i_0_423,i_0_389,i_0_414,i_0_415,i_0_284,i_0_287,i_0_283,i_0_289,i_0_274,i_0_275]) ).
cnf(i_0_751,plain,
v1_partfun1(k2_waybel34(esk3_0,esk2_0,esk5_0),u1_struct_0(esk3_0),u1_struct_0(esk2_0)),
inference(scs_inference,[],[i_0_348,i_0_500,i_0_504,i_0_505,i_0_508,i_0_509,i_0_512,i_0_513,i_0_516,i_0_517,i_0_520,i_0_521,i_0_524,i_0_525,i_0_528,i_0_529,i_0_338,i_0_340,i_0_321,i_0_431,i_0_637,i_0_640,i_0_664,i_0_667,i_0_670,i_0_673,i_0_676,i_0_679,i_0_682,i_0_685,i_0_688,i_0_691,i_0_694,i_0_697,i_0_700,i_0_703,i_0_706,i_0_709,i_0_712,i_0_715,i_0_718,i_0_721,i_0_724,i_0_469,i_0_473,i_0_477,i_0_479,i_0_481,i_0_482,i_0_483,i_0_484,i_0_487,i_0_498,i_0_502,i_0_507,i_0_527,i_0_297,i_0_455,i_0_298,i_0_314,i_0_351,i_0_417,i_0_456,i_0_457,i_0_458,i_0_460,i_0_462,i_0_464,i_0_466,i_0_426,i_0_427,i_0_557,i_0_328,i_0_371,i_0_372,i_0_373,i_0_375,i_0_378,i_0_382,i_0_388,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_408,i_0_421,i_0_423,i_0_389,i_0_414,i_0_415,i_0_284,i_0_287,i_0_283,i_0_289,i_0_274,i_0_275,i_0_265]) ).
cnf(i_0_753,plain,
v21_waybel_0(k2_waybel34(esk3_0,esk2_0,esk5_0),esk3_0,esk2_0),
inference(scs_inference,[],[i_0_348,i_0_500,i_0_504,i_0_505,i_0_508,i_0_509,i_0_512,i_0_513,i_0_516,i_0_517,i_0_520,i_0_521,i_0_524,i_0_525,i_0_528,i_0_529,i_0_338,i_0_340,i_0_321,i_0_431,i_0_637,i_0_640,i_0_664,i_0_667,i_0_670,i_0_673,i_0_676,i_0_679,i_0_682,i_0_685,i_0_688,i_0_691,i_0_694,i_0_697,i_0_700,i_0_703,i_0_706,i_0_709,i_0_712,i_0_715,i_0_718,i_0_721,i_0_724,i_0_469,i_0_473,i_0_477,i_0_479,i_0_481,i_0_482,i_0_483,i_0_484,i_0_487,i_0_498,i_0_502,i_0_507,i_0_527,i_0_297,i_0_455,i_0_298,i_0_314,i_0_351,i_0_417,i_0_456,i_0_457,i_0_458,i_0_460,i_0_462,i_0_464,i_0_466,i_0_426,i_0_427,i_0_557,i_0_328,i_0_371,i_0_372,i_0_373,i_0_375,i_0_378,i_0_382,i_0_388,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_408,i_0_421,i_0_423,i_0_389,i_0_414,i_0_415,i_0_284,i_0_287,i_0_283,i_0_289,i_0_274,i_0_275,i_0_265,i_0_267]) ).
cnf(i_0_755,plain,
v17_waybel_0(k2_waybel34(esk3_0,esk2_0,esk5_0),esk3_0,esk2_0),
inference(scs_inference,[],[i_0_348,i_0_500,i_0_504,i_0_505,i_0_508,i_0_509,i_0_512,i_0_513,i_0_516,i_0_517,i_0_520,i_0_521,i_0_524,i_0_525,i_0_528,i_0_529,i_0_338,i_0_340,i_0_321,i_0_431,i_0_637,i_0_640,i_0_664,i_0_667,i_0_670,i_0_673,i_0_676,i_0_679,i_0_682,i_0_685,i_0_688,i_0_691,i_0_694,i_0_697,i_0_700,i_0_703,i_0_706,i_0_709,i_0_712,i_0_715,i_0_718,i_0_721,i_0_724,i_0_469,i_0_473,i_0_477,i_0_479,i_0_481,i_0_482,i_0_483,i_0_484,i_0_487,i_0_498,i_0_502,i_0_507,i_0_527,i_0_297,i_0_455,i_0_298,i_0_314,i_0_351,i_0_417,i_0_456,i_0_457,i_0_458,i_0_460,i_0_462,i_0_464,i_0_466,i_0_426,i_0_427,i_0_557,i_0_328,i_0_371,i_0_372,i_0_373,i_0_375,i_0_378,i_0_382,i_0_388,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_408,i_0_421,i_0_423,i_0_389,i_0_414,i_0_415,i_0_284,i_0_287,i_0_283,i_0_289,i_0_274,i_0_275,i_0_265,i_0_267,i_0_268]) ).
cnf(i_0_757,plain,
v4_waybel_1(k2_waybel34(esk3_0,esk2_0,esk5_0),esk3_0,esk2_0),
inference(scs_inference,[],[i_0_348,i_0_500,i_0_504,i_0_505,i_0_508,i_0_509,i_0_512,i_0_513,i_0_516,i_0_517,i_0_520,i_0_521,i_0_524,i_0_525,i_0_528,i_0_529,i_0_338,i_0_340,i_0_321,i_0_431,i_0_637,i_0_640,i_0_664,i_0_667,i_0_670,i_0_673,i_0_676,i_0_679,i_0_682,i_0_685,i_0_688,i_0_691,i_0_694,i_0_697,i_0_700,i_0_703,i_0_706,i_0_709,i_0_712,i_0_715,i_0_718,i_0_721,i_0_724,i_0_469,i_0_473,i_0_477,i_0_479,i_0_481,i_0_482,i_0_483,i_0_484,i_0_487,i_0_498,i_0_502,i_0_507,i_0_527,i_0_297,i_0_455,i_0_298,i_0_314,i_0_351,i_0_417,i_0_456,i_0_457,i_0_458,i_0_460,i_0_462,i_0_464,i_0_466,i_0_426,i_0_427,i_0_557,i_0_328,i_0_371,i_0_372,i_0_373,i_0_375,i_0_378,i_0_382,i_0_388,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_408,i_0_421,i_0_423,i_0_389,i_0_414,i_0_415,i_0_284,i_0_287,i_0_283,i_0_289,i_0_274,i_0_275,i_0_265,i_0_267,i_0_268,i_0_269]) ).
cnf(i_0_759,plain,
v19_waybel_0(k2_waybel34(esk3_0,esk2_0,esk5_0),esk3_0,esk2_0),
inference(scs_inference,[],[i_0_348,i_0_500,i_0_504,i_0_505,i_0_508,i_0_509,i_0_512,i_0_513,i_0_516,i_0_517,i_0_520,i_0_521,i_0_524,i_0_525,i_0_528,i_0_529,i_0_338,i_0_340,i_0_321,i_0_431,i_0_637,i_0_640,i_0_664,i_0_667,i_0_670,i_0_673,i_0_676,i_0_679,i_0_682,i_0_685,i_0_688,i_0_691,i_0_694,i_0_697,i_0_700,i_0_703,i_0_706,i_0_709,i_0_712,i_0_715,i_0_718,i_0_721,i_0_724,i_0_469,i_0_473,i_0_477,i_0_479,i_0_481,i_0_482,i_0_483,i_0_484,i_0_487,i_0_498,i_0_502,i_0_507,i_0_527,i_0_297,i_0_455,i_0_298,i_0_314,i_0_351,i_0_417,i_0_456,i_0_457,i_0_458,i_0_460,i_0_462,i_0_464,i_0_466,i_0_426,i_0_427,i_0_557,i_0_328,i_0_371,i_0_372,i_0_373,i_0_375,i_0_378,i_0_382,i_0_388,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_408,i_0_421,i_0_423,i_0_389,i_0_414,i_0_415,i_0_284,i_0_287,i_0_283,i_0_289,i_0_274,i_0_275,i_0_265,i_0_267,i_0_268,i_0_269,i_0_270]) ).
cnf(i_0_761,plain,
v5_orders_3(k2_waybel34(esk3_0,esk2_0,esk5_0),esk3_0,esk2_0),
inference(scs_inference,[],[i_0_348,i_0_500,i_0_504,i_0_505,i_0_508,i_0_509,i_0_512,i_0_513,i_0_516,i_0_517,i_0_520,i_0_521,i_0_524,i_0_525,i_0_528,i_0_529,i_0_338,i_0_340,i_0_321,i_0_431,i_0_637,i_0_640,i_0_664,i_0_667,i_0_670,i_0_673,i_0_676,i_0_679,i_0_682,i_0_685,i_0_688,i_0_691,i_0_694,i_0_697,i_0_700,i_0_703,i_0_706,i_0_709,i_0_712,i_0_715,i_0_718,i_0_721,i_0_724,i_0_469,i_0_473,i_0_477,i_0_479,i_0_481,i_0_482,i_0_483,i_0_484,i_0_487,i_0_498,i_0_502,i_0_507,i_0_527,i_0_297,i_0_455,i_0_298,i_0_314,i_0_351,i_0_417,i_0_456,i_0_457,i_0_458,i_0_460,i_0_462,i_0_464,i_0_466,i_0_426,i_0_427,i_0_557,i_0_328,i_0_371,i_0_372,i_0_373,i_0_375,i_0_378,i_0_382,i_0_388,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_408,i_0_421,i_0_423,i_0_389,i_0_414,i_0_415,i_0_284,i_0_287,i_0_283,i_0_289,i_0_274,i_0_275,i_0_265,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271]) ).
cnf(i_0_763,plain,
~ r2_hidden(esk16_0,esk9_1(esk16_0)),
inference(scs_inference,[],[i_0_348,i_0_500,i_0_504,i_0_505,i_0_508,i_0_509,i_0_512,i_0_513,i_0_516,i_0_517,i_0_520,i_0_521,i_0_524,i_0_525,i_0_528,i_0_529,i_0_338,i_0_340,i_0_321,i_0_431,i_0_637,i_0_640,i_0_664,i_0_667,i_0_670,i_0_673,i_0_676,i_0_679,i_0_682,i_0_685,i_0_688,i_0_691,i_0_694,i_0_697,i_0_700,i_0_703,i_0_706,i_0_709,i_0_712,i_0_715,i_0_718,i_0_721,i_0_724,i_0_469,i_0_473,i_0_477,i_0_479,i_0_481,i_0_482,i_0_483,i_0_484,i_0_487,i_0_498,i_0_502,i_0_507,i_0_527,i_0_297,i_0_455,i_0_298,i_0_314,i_0_351,i_0_417,i_0_456,i_0_457,i_0_458,i_0_460,i_0_462,i_0_464,i_0_466,i_0_426,i_0_427,i_0_557,i_0_328,i_0_371,i_0_372,i_0_373,i_0_375,i_0_378,i_0_382,i_0_388,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_408,i_0_421,i_0_423,i_0_389,i_0_414,i_0_415,i_0_284,i_0_287,i_0_283,i_0_289,i_0_274,i_0_275,i_0_265,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_352]) ).
cnf(i_0_765,plain,
v2_yellow_0(esk3_0),
inference(scs_inference,[],[i_0_348,i_0_500,i_0_504,i_0_505,i_0_508,i_0_509,i_0_512,i_0_513,i_0_516,i_0_517,i_0_520,i_0_521,i_0_524,i_0_525,i_0_528,i_0_529,i_0_338,i_0_340,i_0_321,i_0_431,i_0_637,i_0_640,i_0_664,i_0_667,i_0_670,i_0_673,i_0_676,i_0_679,i_0_682,i_0_685,i_0_688,i_0_691,i_0_694,i_0_697,i_0_700,i_0_703,i_0_706,i_0_709,i_0_712,i_0_715,i_0_718,i_0_721,i_0_724,i_0_469,i_0_473,i_0_477,i_0_479,i_0_481,i_0_482,i_0_483,i_0_484,i_0_487,i_0_498,i_0_502,i_0_507,i_0_527,i_0_297,i_0_455,i_0_298,i_0_314,i_0_351,i_0_417,i_0_456,i_0_457,i_0_458,i_0_460,i_0_462,i_0_464,i_0_466,i_0_426,i_0_427,i_0_557,i_0_328,i_0_371,i_0_372,i_0_373,i_0_375,i_0_378,i_0_382,i_0_388,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_408,i_0_421,i_0_423,i_0_389,i_0_414,i_0_415,i_0_284,i_0_287,i_0_283,i_0_289,i_0_274,i_0_275,i_0_265,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_352,i_0_432]) ).
cnf(i_0_767,plain,
v1_yellow_0(esk3_0),
inference(scs_inference,[],[i_0_348,i_0_500,i_0_504,i_0_505,i_0_508,i_0_509,i_0_512,i_0_513,i_0_516,i_0_517,i_0_520,i_0_521,i_0_524,i_0_525,i_0_528,i_0_529,i_0_338,i_0_340,i_0_321,i_0_431,i_0_637,i_0_640,i_0_664,i_0_667,i_0_670,i_0_673,i_0_676,i_0_679,i_0_682,i_0_685,i_0_688,i_0_691,i_0_694,i_0_697,i_0_700,i_0_703,i_0_706,i_0_709,i_0_712,i_0_715,i_0_718,i_0_721,i_0_724,i_0_469,i_0_473,i_0_477,i_0_479,i_0_481,i_0_482,i_0_483,i_0_484,i_0_487,i_0_498,i_0_502,i_0_507,i_0_527,i_0_297,i_0_455,i_0_298,i_0_314,i_0_351,i_0_417,i_0_456,i_0_457,i_0_458,i_0_460,i_0_462,i_0_464,i_0_466,i_0_426,i_0_427,i_0_557,i_0_328,i_0_371,i_0_372,i_0_373,i_0_375,i_0_378,i_0_382,i_0_388,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_408,i_0_421,i_0_423,i_0_389,i_0_414,i_0_415,i_0_284,i_0_287,i_0_283,i_0_289,i_0_274,i_0_275,i_0_265,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_352,i_0_432,i_0_433]) ).
cnf(i_0_770,plain,
esk9_1(esk16_0) != esk19_0,
inference(scs_inference,[],[i_0_348,i_0_500,i_0_504,i_0_505,i_0_508,i_0_509,i_0_512,i_0_513,i_0_516,i_0_517,i_0_520,i_0_521,i_0_524,i_0_525,i_0_528,i_0_529,i_0_338,i_0_340,i_0_321,i_0_431,i_0_637,i_0_640,i_0_664,i_0_667,i_0_670,i_0_673,i_0_676,i_0_679,i_0_682,i_0_685,i_0_688,i_0_691,i_0_694,i_0_697,i_0_700,i_0_703,i_0_706,i_0_709,i_0_712,i_0_715,i_0_718,i_0_721,i_0_724,i_0_727,i_0_469,i_0_473,i_0_477,i_0_479,i_0_481,i_0_482,i_0_483,i_0_484,i_0_487,i_0_498,i_0_502,i_0_507,i_0_527,i_0_297,i_0_455,i_0_298,i_0_314,i_0_351,i_0_417,i_0_456,i_0_457,i_0_458,i_0_460,i_0_462,i_0_464,i_0_466,i_0_426,i_0_427,i_0_557,i_0_328,i_0_371,i_0_372,i_0_373,i_0_375,i_0_378,i_0_382,i_0_388,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_408,i_0_421,i_0_423,i_0_389,i_0_414,i_0_415,i_0_284,i_0_287,i_0_283,i_0_289,i_0_274,i_0_275,i_0_265,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_352,i_0_432,i_0_433,i_0_561,i_0_595]) ).
cnf(i_0_772,plain,
esk16_0 != esk19_0,
inference(scs_inference,[],[i_0_348,i_0_500,i_0_504,i_0_505,i_0_508,i_0_509,i_0_512,i_0_513,i_0_516,i_0_517,i_0_520,i_0_521,i_0_524,i_0_525,i_0_528,i_0_529,i_0_338,i_0_340,i_0_321,i_0_431,i_0_637,i_0_640,i_0_664,i_0_667,i_0_670,i_0_673,i_0_676,i_0_679,i_0_682,i_0_685,i_0_688,i_0_691,i_0_694,i_0_697,i_0_700,i_0_703,i_0_706,i_0_709,i_0_712,i_0_715,i_0_718,i_0_721,i_0_724,i_0_727,i_0_469,i_0_473,i_0_477,i_0_479,i_0_481,i_0_482,i_0_483,i_0_484,i_0_487,i_0_498,i_0_502,i_0_507,i_0_527,i_0_297,i_0_455,i_0_298,i_0_314,i_0_351,i_0_417,i_0_456,i_0_457,i_0_458,i_0_460,i_0_462,i_0_464,i_0_466,i_0_426,i_0_427,i_0_557,i_0_328,i_0_371,i_0_372,i_0_373,i_0_375,i_0_378,i_0_382,i_0_388,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_408,i_0_421,i_0_423,i_0_389,i_0_414,i_0_415,i_0_284,i_0_287,i_0_283,i_0_289,i_0_274,i_0_275,i_0_265,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_352,i_0_432,i_0_433,i_0_561,i_0_595,i_0_601]) ).
cnf(i_0_773,plain,
~ r2_hidden(esk19_0,esk9_1(k1_zfmisc_1(esk16_0))),
inference(scs_inference,[],[i_0_348,i_0_500,i_0_504,i_0_505,i_0_508,i_0_509,i_0_512,i_0_513,i_0_516,i_0_517,i_0_520,i_0_521,i_0_524,i_0_525,i_0_528,i_0_529,i_0_338,i_0_340,i_0_321,i_0_431,i_0_637,i_0_640,i_0_664,i_0_667,i_0_670,i_0_673,i_0_676,i_0_679,i_0_682,i_0_685,i_0_688,i_0_691,i_0_694,i_0_697,i_0_700,i_0_703,i_0_706,i_0_709,i_0_712,i_0_715,i_0_718,i_0_721,i_0_724,i_0_727,i_0_771,i_0_469,i_0_473,i_0_477,i_0_479,i_0_481,i_0_482,i_0_483,i_0_484,i_0_487,i_0_498,i_0_502,i_0_507,i_0_527,i_0_297,i_0_455,i_0_298,i_0_314,i_0_351,i_0_417,i_0_456,i_0_457,i_0_458,i_0_460,i_0_462,i_0_464,i_0_466,i_0_426,i_0_427,i_0_557,i_0_328,i_0_371,i_0_372,i_0_373,i_0_375,i_0_378,i_0_382,i_0_388,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_408,i_0_421,i_0_423,i_0_389,i_0_414,i_0_415,i_0_284,i_0_287,i_0_283,i_0_289,i_0_274,i_0_275,i_0_265,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_352,i_0_432,i_0_433,i_0_561,i_0_595,i_0_601,i_0_327]) ).
cnf(i_0_798,plain,
v1_membered(esk9_1(k1_zfmisc_1(k1_xboole_0))),
inference(scs_inference,[],[i_0_506,i_0_339,i_0_485,i_0_416,i_0_431,i_0_796,i_0_483,i_0_297,i_0_455,i_0_456,i_0_417,i_0_371,i_0_382]) ).
cnf(i_0_985,plain,
~ r2_hidden(X1,k1_xboole_0),
inference(rename_variables,[],[i_0_793]) ).
cnf(i_0_1057,plain,
~ r2_hidden(X1,k1_xboole_0),
inference(rename_variables,[],[i_0_793]) ).
cnf(i_0_1085,plain,
~ r2_hidden(X1,k1_xboole_0),
inference(rename_variables,[],[i_0_793]) ).
cnf(i_0_1143,plain,
v2_orders_2(esk20_0),
inference(equality_inference,[],[1137]) ).
cnf(i_0_1144,plain,
v3_orders_2(esk20_0),
inference(equality_inference,[],[1138]) ).
cnf(i_0_1145,plain,
v4_orders_2(esk20_0),
inference(equality_inference,[],[1139]) ).
cnf(i_0_1146,plain,
v1_funct_1(esk13_0),
inference(equality_inference,[],[1140]) ).
cnf(i_0_1242,plain,
l1_orders_2(esk6_0),
inference(equality_inference,[],[1236]) ).
cnf(i_0_1515,plain,
m2_relset_1(esk8_2(X1,X2),X1,X2),
inference(rename_variables,[],[i_0_634]) ).
cnf(i_0_1517,plain,
m2_relset_1(esk8_2(X1,X2),X1,X2),
inference(rename_variables,[],[i_0_634]) ).
cnf(i_0_1519,plain,
m1_relset_1(esk11_2(X1,X2),X1,X2),
inference(rename_variables,[],[i_0_979]) ).
cnf(i_0_1521,plain,
m1_relset_1(esk11_2(X1,X2),X1,X2),
inference(rename_variables,[],[i_0_979]) ).
cnf(i_0_1861,plain,
k1_waybel_1(X1,k2_tarski(X2,X3),X4,X5) = k1_waybel_1(X1,k2_tarski(X3,X2),X4,X5),
inference(rename_variables,[],[i_0_1445]) ).
cnf(i_0_2770,plain,
~ r2_hidden(X1,k1_xboole_0),
inference(rename_variables,[],[i_0_793]) ).
cnf(i_0_781,plain,
v3_lattice3(esk3_0),
inference(equality_inference,[],[769]) ).
cnf(i_0_782,plain,
v1_lattice3(esk3_0),
inference(equality_inference,[],[776]) ).
cnf(i_0_783,plain,
v2_lattice3(esk3_0),
inference(equality_inference,[],[777]) ).
cnf(i_0_784,plain,
v2_orders_2(esk3_0),
inference(equality_inference,[],[778]) ).
cnf(i_0_785,plain,
v3_orders_2(esk3_0),
inference(equality_inference,[],[779]) ).
cnf(i_0_786,plain,
v4_orders_2(esk3_0),
inference(equality_inference,[],[780]) ).
cnf(i_0_801,plain,
r2_hidden(esk9_1(esk5_0),esk5_0),
inference(scs_inference,[],[i_0_506,i_0_339,i_0_745,i_0_485,i_0_416,i_0_431,i_0_796,i_0_799,i_0_483,i_0_297,i_0_455,i_0_456,i_0_417,i_0_371,i_0_382,i_0_388]) ).
cnf(i_0_804,plain,
v4_ordinal2(esk9_1(k1_xboole_0)),
inference(scs_inference,[],[i_0_506,i_0_339,i_0_745,i_0_485,i_0_416,i_0_431,i_0_796,i_0_799,i_0_802,i_0_483,i_0_297,i_0_455,i_0_456,i_0_417,i_0_371,i_0_382,i_0_388,i_0_395]) ).
cnf(i_0_807,plain,
v1_int_1(esk9_1(esk9_1(k1_zfmisc_1(esk15_0)))),
inference(scs_inference,[],[i_0_506,i_0_339,i_0_745,i_0_485,i_0_416,i_0_669,i_0_431,i_0_796,i_0_799,i_0_802,i_0_805,i_0_483,i_0_297,i_0_455,i_0_456,i_0_417,i_0_371,i_0_382,i_0_388,i_0_395,i_0_396]) ).
cnf(i_0_810,plain,
v1_rat_1(esk9_1(esk9_1(k1_zfmisc_1(esk15_0)))),
inference(scs_inference,[],[i_0_506,i_0_339,i_0_745,i_0_485,i_0_416,i_0_669,i_0_431,i_0_796,i_0_799,i_0_802,i_0_805,i_0_808,i_0_483,i_0_297,i_0_455,i_0_456,i_0_417,i_0_371,i_0_382,i_0_388,i_0_395,i_0_396,i_0_398]) ).
cnf(i_0_813,plain,
~ r2_hidden(X1,esk9_1(k1_zfmisc_1(k1_xboole_0))),
inference(scs_inference,[],[i_0_506,i_0_339,i_0_745,i_0_485,i_0_416,i_0_669,i_0_431,i_0_796,i_0_799,i_0_802,i_0_805,i_0_808,i_0_811,i_0_483,i_0_297,i_0_455,i_0_456,i_0_417,i_0_371,i_0_382,i_0_388,i_0_395,i_0_396,i_0_398,i_0_328]) ).
cnf(i_0_816,plain,
v5_membered(esk9_1(k1_zfmisc_1(k1_xboole_0))),
inference(scs_inference,[],[i_0_506,i_0_339,i_0_745,i_0_485,i_0_416,i_0_669,i_0_431,i_0_796,i_0_799,i_0_802,i_0_805,i_0_808,i_0_811,i_0_814,i_0_483,i_0_297,i_0_455,i_0_456,i_0_417,i_0_371,i_0_382,i_0_388,i_0_395,i_0_396,i_0_398,i_0_328,i_0_372]) ).
cnf(i_0_819,plain,
v4_membered(esk9_1(k1_zfmisc_1(k1_xboole_0))),
inference(scs_inference,[],[i_0_506,i_0_339,i_0_745,i_0_485,i_0_416,i_0_669,i_0_431,i_0_796,i_0_799,i_0_802,i_0_805,i_0_808,i_0_811,i_0_814,i_0_817,i_0_483,i_0_297,i_0_455,i_0_456,i_0_417,i_0_371,i_0_382,i_0_388,i_0_395,i_0_396,i_0_398,i_0_328,i_0_372,i_0_373]) ).
cnf(i_0_822,plain,
v3_membered(esk9_1(k1_zfmisc_1(k1_xboole_0))),
inference(scs_inference,[],[i_0_506,i_0_339,i_0_745,i_0_485,i_0_416,i_0_669,i_0_431,i_0_796,i_0_799,i_0_802,i_0_805,i_0_808,i_0_811,i_0_814,i_0_817,i_0_820,i_0_483,i_0_297,i_0_455,i_0_456,i_0_417,i_0_371,i_0_382,i_0_388,i_0_395,i_0_396,i_0_398,i_0_328,i_0_372,i_0_373,i_0_375]) ).
cnf(i_0_825,plain,
v2_membered(esk9_1(k1_zfmisc_1(k1_xboole_0))),
inference(scs_inference,[],[i_0_506,i_0_339,i_0_745,i_0_485,i_0_416,i_0_669,i_0_431,i_0_796,i_0_799,i_0_802,i_0_805,i_0_808,i_0_811,i_0_814,i_0_817,i_0_820,i_0_823,i_0_483,i_0_297,i_0_455,i_0_456,i_0_417,i_0_371,i_0_382,i_0_388,i_0_395,i_0_396,i_0_398,i_0_328,i_0_372,i_0_373,i_0_375,i_0_378]) ).
cnf(i_0_828,plain,
v1_int_1(esk9_1(esk19_0)),
inference(scs_inference,[],[i_0_506,i_0_339,i_0_745,i_0_485,i_0_416,i_0_669,i_0_648,i_0_431,i_0_796,i_0_799,i_0_802,i_0_805,i_0_808,i_0_811,i_0_814,i_0_817,i_0_820,i_0_823,i_0_826,i_0_483,i_0_297,i_0_455,i_0_456,i_0_417,i_0_371,i_0_382,i_0_388,i_0_395,i_0_396,i_0_398,i_0_328,i_0_372,i_0_373,i_0_375,i_0_378,i_0_397]) ).
cnf(i_0_831,plain,
v1_rat_1(esk9_1(esk9_1(k1_zfmisc_1(k1_xboole_0)))),
inference(scs_inference,[],[i_0_506,i_0_339,i_0_745,i_0_485,i_0_416,i_0_669,i_0_648,i_0_431,i_0_796,i_0_799,i_0_802,i_0_805,i_0_808,i_0_811,i_0_814,i_0_817,i_0_820,i_0_823,i_0_826,i_0_829,i_0_483,i_0_297,i_0_455,i_0_456,i_0_417,i_0_371,i_0_382,i_0_388,i_0_395,i_0_396,i_0_398,i_0_328,i_0_372,i_0_373,i_0_375,i_0_378,i_0_397,i_0_399]) ).
cnf(i_0_834,plain,
v1_xreal_0(esk9_1(esk9_1(k1_zfmisc_1(k1_xboole_0)))),
inference(scs_inference,[],[i_0_506,i_0_339,i_0_745,i_0_485,i_0_416,i_0_669,i_0_648,i_0_431,i_0_796,i_0_799,i_0_802,i_0_805,i_0_808,i_0_811,i_0_814,i_0_817,i_0_820,i_0_823,i_0_826,i_0_829,i_0_832,i_0_483,i_0_297,i_0_455,i_0_456,i_0_417,i_0_371,i_0_382,i_0_388,i_0_395,i_0_396,i_0_398,i_0_328,i_0_372,i_0_373,i_0_375,i_0_378,i_0_397,i_0_399,i_0_402]) ).
cnf(i_0_837,plain,
v1_xcmplx_0(esk9_1(esk9_1(k1_zfmisc_1(k1_xboole_0)))),
inference(scs_inference,[],[i_0_506,i_0_339,i_0_745,i_0_485,i_0_416,i_0_669,i_0_648,i_0_431,i_0_796,i_0_799,i_0_802,i_0_805,i_0_808,i_0_811,i_0_814,i_0_817,i_0_820,i_0_823,i_0_826,i_0_829,i_0_832,i_0_835,i_0_483,i_0_297,i_0_455,i_0_456,i_0_417,i_0_371,i_0_382,i_0_388,i_0_395,i_0_396,i_0_398,i_0_328,i_0_372,i_0_373,i_0_375,i_0_378,i_0_397,i_0_399,i_0_402,i_0_406]) ).
cnf(i_0_840,plain,
~ v3_struct_0(esk1_0),
inference(scs_inference,[],[i_0_506,i_0_514,i_0_339,i_0_745,i_0_485,i_0_416,i_0_669,i_0_648,i_0_431,i_0_796,i_0_799,i_0_802,i_0_805,i_0_808,i_0_811,i_0_814,i_0_817,i_0_820,i_0_823,i_0_826,i_0_829,i_0_832,i_0_835,i_0_483,i_0_297,i_0_455,i_0_456,i_0_417,i_0_371,i_0_382,i_0_388,i_0_395,i_0_396,i_0_398,i_0_328,i_0_372,i_0_373,i_0_375,i_0_378,i_0_397,i_0_399,i_0_402,i_0_406,i_0_426]) ).
cnf(i_0_842,plain,
k1_xboole_0 != esk5_0,
inference(scs_inference,[],[i_0_506,i_0_514,i_0_339,i_0_745,i_0_485,i_0_416,i_0_669,i_0_648,i_0_431,i_0_796,i_0_799,i_0_802,i_0_805,i_0_808,i_0_811,i_0_814,i_0_817,i_0_820,i_0_823,i_0_826,i_0_829,i_0_832,i_0_835,i_0_483,i_0_297,i_0_455,i_0_456,i_0_417,i_0_371,i_0_382,i_0_388,i_0_395,i_0_396,i_0_398,i_0_328,i_0_372,i_0_373,i_0_375,i_0_378,i_0_397,i_0_399,i_0_402,i_0_406,i_0_426,i_0_557]) ).
cnf(i_0_843,plain,
esk16_0 != esk9_1(k1_zfmisc_1(esk19_0)),
inference(scs_inference,[],[i_0_506,i_0_514,i_0_339,i_0_745,i_0_485,i_0_416,i_0_663,i_0_669,i_0_684,i_0_648,i_0_431,i_0_796,i_0_799,i_0_802,i_0_805,i_0_808,i_0_811,i_0_814,i_0_817,i_0_820,i_0_823,i_0_826,i_0_829,i_0_832,i_0_835,i_0_483,i_0_297,i_0_455,i_0_456,i_0_417,i_0_371,i_0_382,i_0_388,i_0_395,i_0_396,i_0_398,i_0_328,i_0_372,i_0_373,i_0_375,i_0_378,i_0_397,i_0_399,i_0_402,i_0_406,i_0_426,i_0_557,i_0_601]) ).
cnf(i_0_844,plain,
~ r2_hidden(X1,esk9_1(k1_zfmisc_1(esk19_0))),
inference(rename_variables,[],[i_0_663]) ).
cnf(i_0_845,plain,
~ m1_subset_1(k1_xboole_0,esk16_0),
inference(scs_inference,[],[i_0_506,i_0_514,i_0_339,i_0_745,i_0_485,i_0_416,i_0_663,i_0_669,i_0_684,i_0_648,i_0_431,i_0_796,i_0_799,i_0_802,i_0_805,i_0_808,i_0_811,i_0_814,i_0_817,i_0_820,i_0_823,i_0_826,i_0_829,i_0_832,i_0_835,i_0_477,i_0_483,i_0_469,i_0_297,i_0_455,i_0_456,i_0_417,i_0_371,i_0_382,i_0_388,i_0_395,i_0_396,i_0_398,i_0_328,i_0_372,i_0_373,i_0_375,i_0_378,i_0_397,i_0_399,i_0_402,i_0_406,i_0_426,i_0_557,i_0_601,i_0_389]) ).
cnf(i_0_847,plain,
v3_yellow_0(esk2_0),
inference(scs_inference,[],[i_0_506,i_0_514,i_0_339,i_0_509,i_0_505,i_0_660,i_0_745,i_0_485,i_0_416,i_0_663,i_0_669,i_0_684,i_0_648,i_0_431,i_0_796,i_0_799,i_0_802,i_0_805,i_0_808,i_0_811,i_0_814,i_0_817,i_0_820,i_0_823,i_0_826,i_0_829,i_0_832,i_0_835,i_0_477,i_0_483,i_0_469,i_0_297,i_0_455,i_0_456,i_0_417,i_0_371,i_0_382,i_0_388,i_0_395,i_0_396,i_0_398,i_0_328,i_0_372,i_0_373,i_0_375,i_0_378,i_0_397,i_0_399,i_0_402,i_0_406,i_0_426,i_0_557,i_0_601,i_0_389,i_0_423]) ).
cnf(i_0_849,plain,
v25_waybel_0(esk3_0),
inference(scs_inference,[],[i_0_504,i_0_506,i_0_514,i_0_339,i_0_509,i_0_508,i_0_528,i_0_505,i_0_658,i_0_660,i_0_745,i_0_485,i_0_416,i_0_663,i_0_669,i_0_684,i_0_648,i_0_431,i_0_796,i_0_799,i_0_802,i_0_805,i_0_808,i_0_811,i_0_814,i_0_817,i_0_820,i_0_823,i_0_826,i_0_829,i_0_832,i_0_835,i_0_477,i_0_483,i_0_469,i_0_297,i_0_455,i_0_456,i_0_417,i_0_371,i_0_382,i_0_388,i_0_395,i_0_396,i_0_398,i_0_328,i_0_372,i_0_373,i_0_375,i_0_378,i_0_397,i_0_399,i_0_402,i_0_406,i_0_426,i_0_557,i_0_601,i_0_389,i_0_423,i_0_414]) ).
cnf(i_0_851,plain,
v24_waybel_0(esk3_0),
inference(scs_inference,[],[i_0_504,i_0_506,i_0_514,i_0_339,i_0_509,i_0_508,i_0_528,i_0_505,i_0_658,i_0_660,i_0_745,i_0_485,i_0_416,i_0_663,i_0_669,i_0_684,i_0_648,i_0_431,i_0_796,i_0_799,i_0_802,i_0_805,i_0_808,i_0_811,i_0_814,i_0_817,i_0_820,i_0_823,i_0_826,i_0_829,i_0_832,i_0_835,i_0_477,i_0_483,i_0_469,i_0_297,i_0_455,i_0_456,i_0_417,i_0_371,i_0_382,i_0_388,i_0_395,i_0_396,i_0_398,i_0_328,i_0_372,i_0_373,i_0_375,i_0_378,i_0_397,i_0_399,i_0_402,i_0_406,i_0_426,i_0_557,i_0_601,i_0_389,i_0_423,i_0_414,i_0_415]) ).
cnf(i_0_853,plain,
v20_waybel_0(esk4_0,esk1_0,esk2_0),
inference(scs_inference,[],[i_0_504,i_0_349,i_0_501,i_0_506,i_0_514,i_0_339,i_0_341,i_0_509,i_0_508,i_0_528,i_0_505,i_0_658,i_0_660,i_0_745,i_0_485,i_0_416,i_0_663,i_0_669,i_0_684,i_0_648,i_0_431,i_0_796,i_0_799,i_0_802,i_0_805,i_0_808,i_0_811,i_0_814,i_0_817,i_0_820,i_0_823,i_0_826,i_0_829,i_0_832,i_0_835,i_0_477,i_0_483,i_0_469,i_0_297,i_0_455,i_0_456,i_0_417,i_0_371,i_0_382,i_0_388,i_0_395,i_0_396,i_0_398,i_0_328,i_0_372,i_0_373,i_0_375,i_0_378,i_0_397,i_0_399,i_0_402,i_0_406,i_0_426,i_0_557,i_0_601,i_0_389,i_0_423,i_0_414,i_0_415,i_0_284]) ).
cnf(i_0_855,plain,
v22_waybel_0(esk4_0,esk1_0,esk2_0),
inference(scs_inference,[],[i_0_504,i_0_349,i_0_501,i_0_506,i_0_514,i_0_339,i_0_341,i_0_509,i_0_508,i_0_528,i_0_505,i_0_658,i_0_660,i_0_745,i_0_485,i_0_416,i_0_663,i_0_669,i_0_684,i_0_648,i_0_431,i_0_796,i_0_799,i_0_802,i_0_805,i_0_808,i_0_811,i_0_814,i_0_817,i_0_820,i_0_823,i_0_826,i_0_829,i_0_832,i_0_835,i_0_477,i_0_483,i_0_469,i_0_297,i_0_455,i_0_456,i_0_417,i_0_371,i_0_382,i_0_388,i_0_395,i_0_396,i_0_398,i_0_328,i_0_372,i_0_373,i_0_375,i_0_378,i_0_397,i_0_399,i_0_402,i_0_406,i_0_426,i_0_557,i_0_601,i_0_389,i_0_423,i_0_414,i_0_415,i_0_284,i_0_287]) ).
cnf(i_0_857,plain,
v5_orders_3(esk4_0,esk1_0,esk2_0),
inference(scs_inference,[],[i_0_504,i_0_349,i_0_501,i_0_506,i_0_514,i_0_522,i_0_530,i_0_339,i_0_341,i_0_509,i_0_508,i_0_521,i_0_529,i_0_528,i_0_505,i_0_658,i_0_660,i_0_745,i_0_485,i_0_416,i_0_663,i_0_669,i_0_684,i_0_648,i_0_431,i_0_796,i_0_799,i_0_802,i_0_805,i_0_808,i_0_811,i_0_814,i_0_817,i_0_820,i_0_823,i_0_826,i_0_829,i_0_832,i_0_835,i_0_477,i_0_483,i_0_469,i_0_297,i_0_455,i_0_456,i_0_417,i_0_371,i_0_382,i_0_388,i_0_395,i_0_396,i_0_398,i_0_328,i_0_372,i_0_373,i_0_375,i_0_378,i_0_397,i_0_399,i_0_402,i_0_406,i_0_426,i_0_557,i_0_601,i_0_389,i_0_423,i_0_414,i_0_415,i_0_284,i_0_287,i_0_283]) ).
cnf(i_0_859,plain,
~ v1_xboole_0(esk4_0),
inference(scs_inference,[],[i_0_504,i_0_349,i_0_501,i_0_506,i_0_514,i_0_522,i_0_530,i_0_339,i_0_341,i_0_509,i_0_508,i_0_521,i_0_529,i_0_528,i_0_505,i_0_658,i_0_660,i_0_745,i_0_485,i_0_416,i_0_663,i_0_669,i_0_684,i_0_648,i_0_431,i_0_796,i_0_799,i_0_802,i_0_805,i_0_808,i_0_811,i_0_814,i_0_817,i_0_820,i_0_823,i_0_826,i_0_829,i_0_832,i_0_835,i_0_477,i_0_483,i_0_469,i_0_297,i_0_455,i_0_456,i_0_417,i_0_371,i_0_382,i_0_388,i_0_395,i_0_396,i_0_398,i_0_328,i_0_372,i_0_373,i_0_375,i_0_378,i_0_397,i_0_399,i_0_402,i_0_406,i_0_426,i_0_557,i_0_601,i_0_389,i_0_423,i_0_414,i_0_415,i_0_284,i_0_287,i_0_283,i_0_289]) ).
cnf(i_0_861,plain,
m2_relset_1(k2_waybel34(esk2_0,esk1_0,esk4_0),u1_struct_0(esk2_0),u1_struct_0(esk1_0)),
inference(scs_inference,[],[i_0_504,i_0_349,i_0_501,i_0_506,i_0_514,i_0_518,i_0_522,i_0_526,i_0_530,i_0_339,i_0_341,i_0_509,i_0_508,i_0_513,i_0_525,i_0_517,i_0_521,i_0_529,i_0_528,i_0_505,i_0_658,i_0_660,i_0_745,i_0_485,i_0_416,i_0_663,i_0_669,i_0_684,i_0_648,i_0_431,i_0_796,i_0_799,i_0_802,i_0_805,i_0_808,i_0_811,i_0_814,i_0_817,i_0_820,i_0_823,i_0_826,i_0_829,i_0_832,i_0_835,i_0_477,i_0_483,i_0_469,i_0_297,i_0_455,i_0_456,i_0_417,i_0_371,i_0_382,i_0_388,i_0_395,i_0_396,i_0_398,i_0_328,i_0_372,i_0_373,i_0_375,i_0_378,i_0_397,i_0_399,i_0_402,i_0_406,i_0_426,i_0_557,i_0_601,i_0_389,i_0_423,i_0_414,i_0_415,i_0_284,i_0_287,i_0_283,i_0_289,i_0_274]) ).
cnf(i_0_863,plain,
v1_funct_2(k2_waybel34(esk2_0,esk1_0,esk4_0),u1_struct_0(esk2_0),u1_struct_0(esk1_0)),
inference(scs_inference,[],[i_0_504,i_0_349,i_0_501,i_0_506,i_0_514,i_0_518,i_0_522,i_0_526,i_0_530,i_0_339,i_0_341,i_0_509,i_0_508,i_0_513,i_0_525,i_0_517,i_0_521,i_0_529,i_0_528,i_0_505,i_0_658,i_0_660,i_0_745,i_0_485,i_0_416,i_0_663,i_0_669,i_0_684,i_0_648,i_0_431,i_0_796,i_0_799,i_0_802,i_0_805,i_0_808,i_0_811,i_0_814,i_0_817,i_0_820,i_0_823,i_0_826,i_0_829,i_0_832,i_0_835,i_0_477,i_0_483,i_0_469,i_0_297,i_0_455,i_0_456,i_0_417,i_0_371,i_0_382,i_0_388,i_0_395,i_0_396,i_0_398,i_0_328,i_0_372,i_0_373,i_0_375,i_0_378,i_0_397,i_0_399,i_0_402,i_0_406,i_0_426,i_0_557,i_0_601,i_0_389,i_0_423,i_0_414,i_0_415,i_0_284,i_0_287,i_0_283,i_0_289,i_0_274,i_0_275]) ).
cnf(i_0_865,plain,
v1_partfun1(k2_waybel34(esk2_0,esk1_0,esk4_0),u1_struct_0(esk2_0),u1_struct_0(esk1_0)),
inference(scs_inference,[],[i_0_504,i_0_349,i_0_501,i_0_506,i_0_510,i_0_514,i_0_518,i_0_522,i_0_526,i_0_530,i_0_339,i_0_341,i_0_509,i_0_508,i_0_513,i_0_525,i_0_517,i_0_521,i_0_529,i_0_528,i_0_505,i_0_658,i_0_660,i_0_745,i_0_485,i_0_416,i_0_663,i_0_669,i_0_684,i_0_648,i_0_431,i_0_796,i_0_799,i_0_802,i_0_805,i_0_808,i_0_811,i_0_814,i_0_817,i_0_820,i_0_823,i_0_826,i_0_829,i_0_832,i_0_835,i_0_477,i_0_483,i_0_469,i_0_297,i_0_455,i_0_456,i_0_417,i_0_371,i_0_382,i_0_388,i_0_395,i_0_396,i_0_398,i_0_328,i_0_372,i_0_373,i_0_375,i_0_378,i_0_397,i_0_399,i_0_402,i_0_406,i_0_426,i_0_557,i_0_601,i_0_389,i_0_423,i_0_414,i_0_415,i_0_284,i_0_287,i_0_283,i_0_289,i_0_274,i_0_275,i_0_265]) ).
cnf(i_0_867,plain,
v21_waybel_0(k2_waybel34(esk2_0,esk1_0,esk4_0),esk2_0,esk1_0),
inference(scs_inference,[],[i_0_504,i_0_349,i_0_501,i_0_506,i_0_510,i_0_514,i_0_518,i_0_522,i_0_526,i_0_530,i_0_339,i_0_341,i_0_509,i_0_508,i_0_513,i_0_525,i_0_517,i_0_521,i_0_529,i_0_528,i_0_505,i_0_658,i_0_660,i_0_745,i_0_485,i_0_416,i_0_663,i_0_669,i_0_684,i_0_648,i_0_431,i_0_796,i_0_799,i_0_802,i_0_805,i_0_808,i_0_811,i_0_814,i_0_817,i_0_820,i_0_823,i_0_826,i_0_829,i_0_832,i_0_835,i_0_477,i_0_483,i_0_469,i_0_297,i_0_455,i_0_456,i_0_417,i_0_371,i_0_382,i_0_388,i_0_395,i_0_396,i_0_398,i_0_328,i_0_372,i_0_373,i_0_375,i_0_378,i_0_397,i_0_399,i_0_402,i_0_406,i_0_426,i_0_557,i_0_601,i_0_389,i_0_423,i_0_414,i_0_415,i_0_284,i_0_287,i_0_283,i_0_289,i_0_274,i_0_275,i_0_265,i_0_267]) ).
cnf(i_0_869,plain,
v17_waybel_0(k2_waybel34(esk2_0,esk1_0,esk4_0),esk2_0,esk1_0),
inference(scs_inference,[],[i_0_504,i_0_349,i_0_501,i_0_506,i_0_510,i_0_514,i_0_518,i_0_522,i_0_526,i_0_530,i_0_339,i_0_341,i_0_509,i_0_508,i_0_513,i_0_525,i_0_517,i_0_521,i_0_529,i_0_528,i_0_505,i_0_658,i_0_660,i_0_745,i_0_485,i_0_416,i_0_663,i_0_669,i_0_684,i_0_648,i_0_431,i_0_796,i_0_799,i_0_802,i_0_805,i_0_808,i_0_811,i_0_814,i_0_817,i_0_820,i_0_823,i_0_826,i_0_829,i_0_832,i_0_835,i_0_477,i_0_483,i_0_469,i_0_297,i_0_455,i_0_456,i_0_417,i_0_371,i_0_382,i_0_388,i_0_395,i_0_396,i_0_398,i_0_328,i_0_372,i_0_373,i_0_375,i_0_378,i_0_397,i_0_399,i_0_402,i_0_406,i_0_426,i_0_557,i_0_601,i_0_389,i_0_423,i_0_414,i_0_415,i_0_284,i_0_287,i_0_283,i_0_289,i_0_274,i_0_275,i_0_265,i_0_267,i_0_268]) ).
cnf(i_0_871,plain,
v4_waybel_1(k2_waybel34(esk2_0,esk1_0,esk4_0),esk2_0,esk1_0),
inference(scs_inference,[],[i_0_504,i_0_349,i_0_501,i_0_506,i_0_510,i_0_514,i_0_518,i_0_522,i_0_526,i_0_530,i_0_339,i_0_341,i_0_509,i_0_508,i_0_513,i_0_525,i_0_517,i_0_521,i_0_529,i_0_528,i_0_505,i_0_658,i_0_660,i_0_745,i_0_485,i_0_416,i_0_663,i_0_669,i_0_684,i_0_648,i_0_431,i_0_796,i_0_799,i_0_802,i_0_805,i_0_808,i_0_811,i_0_814,i_0_817,i_0_820,i_0_823,i_0_826,i_0_829,i_0_832,i_0_835,i_0_477,i_0_483,i_0_469,i_0_297,i_0_455,i_0_456,i_0_417,i_0_371,i_0_382,i_0_388,i_0_395,i_0_396,i_0_398,i_0_328,i_0_372,i_0_373,i_0_375,i_0_378,i_0_397,i_0_399,i_0_402,i_0_406,i_0_426,i_0_557,i_0_601,i_0_389,i_0_423,i_0_414,i_0_415,i_0_284,i_0_287,i_0_283,i_0_289,i_0_274,i_0_275,i_0_265,i_0_267,i_0_268,i_0_269]) ).
cnf(i_0_873,plain,
v19_waybel_0(k2_waybel34(esk2_0,esk1_0,esk4_0),esk2_0,esk1_0),
inference(scs_inference,[],[i_0_504,i_0_349,i_0_501,i_0_506,i_0_510,i_0_514,i_0_518,i_0_522,i_0_526,i_0_530,i_0_339,i_0_341,i_0_509,i_0_508,i_0_513,i_0_525,i_0_517,i_0_521,i_0_529,i_0_528,i_0_505,i_0_658,i_0_660,i_0_745,i_0_485,i_0_416,i_0_663,i_0_669,i_0_684,i_0_648,i_0_431,i_0_796,i_0_799,i_0_802,i_0_805,i_0_808,i_0_811,i_0_814,i_0_817,i_0_820,i_0_823,i_0_826,i_0_829,i_0_832,i_0_835,i_0_477,i_0_483,i_0_469,i_0_297,i_0_455,i_0_456,i_0_417,i_0_371,i_0_382,i_0_388,i_0_395,i_0_396,i_0_398,i_0_328,i_0_372,i_0_373,i_0_375,i_0_378,i_0_397,i_0_399,i_0_402,i_0_406,i_0_426,i_0_557,i_0_601,i_0_389,i_0_423,i_0_414,i_0_415,i_0_284,i_0_287,i_0_283,i_0_289,i_0_274,i_0_275,i_0_265,i_0_267,i_0_268,i_0_269,i_0_270]) ).
cnf(i_0_875,plain,
v5_orders_3(k2_waybel34(esk2_0,esk1_0,esk4_0),esk2_0,esk1_0),
inference(scs_inference,[],[i_0_504,i_0_349,i_0_501,i_0_506,i_0_510,i_0_514,i_0_518,i_0_522,i_0_526,i_0_530,i_0_339,i_0_341,i_0_509,i_0_508,i_0_513,i_0_525,i_0_517,i_0_521,i_0_529,i_0_528,i_0_505,i_0_658,i_0_660,i_0_745,i_0_485,i_0_416,i_0_663,i_0_669,i_0_684,i_0_648,i_0_431,i_0_796,i_0_799,i_0_802,i_0_805,i_0_808,i_0_811,i_0_814,i_0_817,i_0_820,i_0_823,i_0_826,i_0_829,i_0_832,i_0_835,i_0_477,i_0_483,i_0_469,i_0_297,i_0_455,i_0_456,i_0_417,i_0_371,i_0_382,i_0_388,i_0_395,i_0_396,i_0_398,i_0_328,i_0_372,i_0_373,i_0_375,i_0_378,i_0_397,i_0_399,i_0_402,i_0_406,i_0_426,i_0_557,i_0_601,i_0_389,i_0_423,i_0_414,i_0_415,i_0_284,i_0_287,i_0_283,i_0_289,i_0_274,i_0_275,i_0_265,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271]) ).
cnf(i_0_877,plain,
~ r2_hidden(esk5_0,esk9_1(esk5_0)),
inference(scs_inference,[],[i_0_504,i_0_349,i_0_501,i_0_506,i_0_510,i_0_514,i_0_518,i_0_522,i_0_526,i_0_530,i_0_339,i_0_341,i_0_509,i_0_508,i_0_513,i_0_525,i_0_517,i_0_521,i_0_529,i_0_528,i_0_505,i_0_658,i_0_660,i_0_745,i_0_485,i_0_416,i_0_663,i_0_669,i_0_684,i_0_648,i_0_431,i_0_796,i_0_799,i_0_802,i_0_805,i_0_808,i_0_811,i_0_814,i_0_817,i_0_820,i_0_823,i_0_826,i_0_829,i_0_832,i_0_835,i_0_477,i_0_483,i_0_469,i_0_297,i_0_455,i_0_456,i_0_417,i_0_371,i_0_382,i_0_388,i_0_395,i_0_396,i_0_398,i_0_328,i_0_372,i_0_373,i_0_375,i_0_378,i_0_397,i_0_399,i_0_402,i_0_406,i_0_426,i_0_557,i_0_601,i_0_389,i_0_423,i_0_414,i_0_415,i_0_284,i_0_287,i_0_283,i_0_289,i_0_274,i_0_275,i_0_265,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_352]) ).
cnf(i_0_880,plain,
v2_yellow_0(esk2_0),
inference(scs_inference,[],[i_0_504,i_0_349,i_0_501,i_0_506,i_0_510,i_0_514,i_0_518,i_0_522,i_0_526,i_0_530,i_0_339,i_0_341,i_0_509,i_0_508,i_0_513,i_0_525,i_0_517,i_0_521,i_0_529,i_0_528,i_0_505,i_0_658,i_0_660,i_0_745,i_0_485,i_0_416,i_0_663,i_0_669,i_0_684,i_0_648,i_0_431,i_0_796,i_0_799,i_0_802,i_0_805,i_0_808,i_0_811,i_0_814,i_0_817,i_0_820,i_0_823,i_0_826,i_0_829,i_0_832,i_0_835,i_0_477,i_0_483,i_0_469,i_0_297,i_0_455,i_0_456,i_0_417,i_0_371,i_0_382,i_0_388,i_0_395,i_0_396,i_0_398,i_0_328,i_0_372,i_0_373,i_0_375,i_0_378,i_0_397,i_0_399,i_0_402,i_0_406,i_0_426,i_0_557,i_0_601,i_0_389,i_0_423,i_0_414,i_0_415,i_0_284,i_0_287,i_0_283,i_0_289,i_0_274,i_0_275,i_0_265,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_352,i_0_624,i_0_432]) ).
cnf(i_0_882,plain,
v1_yellow_0(esk2_0),
inference(scs_inference,[],[i_0_504,i_0_349,i_0_501,i_0_506,i_0_510,i_0_514,i_0_518,i_0_522,i_0_526,i_0_530,i_0_339,i_0_341,i_0_509,i_0_508,i_0_513,i_0_525,i_0_517,i_0_521,i_0_529,i_0_528,i_0_505,i_0_658,i_0_660,i_0_745,i_0_485,i_0_416,i_0_663,i_0_669,i_0_684,i_0_648,i_0_431,i_0_796,i_0_799,i_0_802,i_0_805,i_0_808,i_0_811,i_0_814,i_0_817,i_0_820,i_0_823,i_0_826,i_0_829,i_0_832,i_0_835,i_0_477,i_0_483,i_0_469,i_0_297,i_0_455,i_0_456,i_0_417,i_0_371,i_0_382,i_0_388,i_0_395,i_0_396,i_0_398,i_0_328,i_0_372,i_0_373,i_0_375,i_0_378,i_0_397,i_0_399,i_0_402,i_0_406,i_0_426,i_0_557,i_0_601,i_0_389,i_0_423,i_0_414,i_0_415,i_0_284,i_0_287,i_0_283,i_0_289,i_0_274,i_0_275,i_0_265,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_352,i_0_624,i_0_432,i_0_433]) ).
cnf(i_0_884,plain,
esk9_1(esk16_0) != k1_xboole_0,
inference(scs_inference,[],[i_0_504,i_0_349,i_0_501,i_0_506,i_0_510,i_0_514,i_0_518,i_0_522,i_0_526,i_0_530,i_0_339,i_0_341,i_0_509,i_0_508,i_0_513,i_0_525,i_0_517,i_0_521,i_0_529,i_0_528,i_0_505,i_0_658,i_0_660,i_0_745,i_0_485,i_0_416,i_0_663,i_0_669,i_0_684,i_0_648,i_0_431,i_0_796,i_0_799,i_0_802,i_0_805,i_0_808,i_0_811,i_0_814,i_0_817,i_0_820,i_0_823,i_0_826,i_0_829,i_0_832,i_0_835,i_0_838,i_0_477,i_0_483,i_0_469,i_0_297,i_0_455,i_0_456,i_0_417,i_0_371,i_0_382,i_0_388,i_0_395,i_0_396,i_0_398,i_0_328,i_0_372,i_0_373,i_0_375,i_0_378,i_0_397,i_0_399,i_0_402,i_0_406,i_0_426,i_0_557,i_0_601,i_0_389,i_0_423,i_0_414,i_0_415,i_0_284,i_0_287,i_0_283,i_0_289,i_0_274,i_0_275,i_0_265,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_352,i_0_624,i_0_432,i_0_433,i_0_595]) ).
cnf(i_0_886,plain,
~ v1_xboole_0(esk9_1(esk16_0)),
inference(scs_inference,[],[i_0_504,i_0_349,i_0_501,i_0_506,i_0_510,i_0_514,i_0_518,i_0_522,i_0_526,i_0_530,i_0_339,i_0_341,i_0_509,i_0_508,i_0_513,i_0_525,i_0_517,i_0_521,i_0_529,i_0_528,i_0_505,i_0_658,i_0_660,i_0_745,i_0_485,i_0_416,i_0_663,i_0_669,i_0_684,i_0_648,i_0_431,i_0_796,i_0_799,i_0_802,i_0_805,i_0_808,i_0_811,i_0_814,i_0_817,i_0_820,i_0_823,i_0_826,i_0_829,i_0_832,i_0_835,i_0_838,i_0_477,i_0_483,i_0_469,i_0_297,i_0_455,i_0_456,i_0_417,i_0_371,i_0_382,i_0_388,i_0_395,i_0_396,i_0_398,i_0_328,i_0_372,i_0_373,i_0_375,i_0_378,i_0_397,i_0_399,i_0_402,i_0_406,i_0_426,i_0_557,i_0_601,i_0_389,i_0_423,i_0_414,i_0_415,i_0_284,i_0_287,i_0_283,i_0_289,i_0_274,i_0_275,i_0_265,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_352,i_0_624,i_0_432,i_0_433,i_0_595,i_0_468]) ).
cnf(i_0_899,plain,
m1_relset_1(k2_waybel34(esk3_0,esk2_0,esk5_0),u1_struct_0(esk3_0),u1_struct_0(esk2_0)),
inference(scs_inference,[],[i_0_747,i_0_297]) ).
cnf(i_0_901,plain,
l1_struct_0(esk2_0),
inference(scs_inference,[],[i_0_505,i_0_747,i_0_297,i_0_455]) ).
cnf(i_0_914,plain,
~ r2_hidden(X1,esk19_0),
inference(rename_variables,[],[i_0_642]) ).
cnf(i_0_1000,plain,
~ r2_hidden(X1,esk9_1(k1_zfmisc_1(esk19_0))),
inference(rename_variables,[],[i_0_663]) ).
cnf(i_0_1029,plain,
~ r2_hidden(X1,esk9_1(k1_zfmisc_1(esk19_0))),
inference(rename_variables,[],[i_0_663]) ).
cnf(i_0_1043,plain,
~ r2_hidden(X1,esk19_0),
inference(rename_variables,[],[i_0_642]) ).
cnf(i_0_1056,plain,
esk16_0 != k1_xboole_0,
inference(scs_inference,[],[i_0_793,i_0_684,i_0_601]) ).
cnf(i_0_1194,plain,
v1_membered(esk9_1(k1_zfmisc_1(esk19_0))),
inference(scs_inference,[],[i_0_431,i_0_654,i_0_386]) ).
cnf(i_0_1430,plain,
v1_membered(esk9_1(k1_zfmisc_1(esk9_1(k1_zfmisc_1(esk15_0))))),
inference(scs_inference,[],[i_0_681,i_0_431,i_0_386]) ).
cnf(i_0_1437,plain,
v1_membered(esk9_1(k1_zfmisc_1(esk9_1(k1_zfmisc_1(k1_xboole_0))))),
inference(scs_inference,[],[i_0_798,i_0_431,i_0_386]) ).
cnf(i_0_1748,plain,
~ r2_hidden(X1,esk19_0),
inference(rename_variables,[],[i_0_642]) ).
cnf(i_0_2066,plain,
r1_tarski(esk9_1(k1_zfmisc_1(X1)),X1),
inference(rename_variables,[],[i_0_639]) ).
cnf(i_0_2576,plain,
~ r2_hidden(X1,esk9_1(k1_zfmisc_1(esk19_0))),
inference(rename_variables,[],[i_0_663]) ).
cnf(i_0_2762,plain,
r1_tarski(esk9_1(k1_zfmisc_1(X1)),X1),
inference(rename_variables,[],[i_0_639]) ).
cnf(i_0_893,plain,
l1_orders_2(esk3_0),
inference(equality_inference,[],[879]) ).
cnf(i_0_894,plain,
v1_funct_1(esk4_0),
inference(equality_inference,[],[888]) ).
cnf(i_0_895,plain,
v1_relat_1(esk9_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))),
inference(equality_inference,[],[889]) ).
cnf(i_0_896,plain,
~ m1_subset_1(esk19_0,esk16_0),
inference(equality_inference,[],[890]) ).
cnf(i_0_897,plain,
v1_yellow_0(esk3_0),
inference(equality_inference,[],[891]) ).
cnf(i_0_898,plain,
v2_yellow_0(esk3_0),
inference(equality_inference,[],[892]) ).
cnf(i_0_903,plain,
r2_hidden(esk9_1(esk4_0),esk4_0),
inference(scs_inference,[],[i_0_505,i_0_747,i_0_859,i_0_431,i_0_297,i_0_455,i_0_388]) ).
cnf(i_0_906,plain,
v4_ordinal2(esk9_1(esk19_0)),
inference(scs_inference,[],[i_0_505,i_0_747,i_0_859,i_0_646,i_0_431,i_0_904,i_0_297,i_0_455,i_0_388,i_0_395]) ).
cnf(i_0_909,plain,
v1_int_1(esk9_1(esk9_1(k1_zfmisc_1(k1_xboole_0)))),
inference(scs_inference,[],[i_0_505,i_0_747,i_0_859,i_0_646,i_0_816,i_0_431,i_0_904,i_0_907,i_0_297,i_0_455,i_0_388,i_0_395,i_0_396]) ).
cnf(i_0_912,plain,
k1_xboole_0 != esk4_0,
inference(scs_inference,[],[i_0_505,i_0_747,i_0_859,i_0_483,i_0_646,i_0_816,i_0_431,i_0_904,i_0_907,i_0_297,i_0_455,i_0_388,i_0_395,i_0_396,i_0_557]) ).
cnf(i_0_913,plain,
esk5_0 != esk19_0,
inference(scs_inference,[],[i_0_505,i_0_747,i_0_859,i_0_483,i_0_646,i_0_642,i_0_816,i_0_801,i_0_431,i_0_904,i_0_907,i_0_297,i_0_455,i_0_388,i_0_395,i_0_396,i_0_557,i_0_601]) ).
cnf(i_0_915,plain,
v3_yellow_0(esk1_0),
inference(scs_inference,[],[i_0_505,i_0_510,i_0_506,i_0_747,i_0_840,i_0_859,i_0_483,i_0_646,i_0_642,i_0_816,i_0_801,i_0_431,i_0_904,i_0_907,i_0_297,i_0_455,i_0_388,i_0_395,i_0_396,i_0_557,i_0_601,i_0_423]) ).
cnf(i_0_917,plain,
v25_waybel_0(esk2_0),
inference(scs_inference,[],[i_0_505,i_0_510,i_0_509,i_0_506,i_0_529,i_0_660,i_0_747,i_0_840,i_0_859,i_0_483,i_0_646,i_0_642,i_0_816,i_0_801,i_0_431,i_0_904,i_0_907,i_0_297,i_0_455,i_0_388,i_0_395,i_0_396,i_0_557,i_0_601,i_0_423,i_0_414]) ).
cnf(i_0_919,plain,
v24_waybel_0(esk2_0),
inference(scs_inference,[],[i_0_505,i_0_510,i_0_509,i_0_506,i_0_529,i_0_660,i_0_747,i_0_840,i_0_859,i_0_483,i_0_646,i_0_642,i_0_816,i_0_801,i_0_431,i_0_904,i_0_907,i_0_297,i_0_455,i_0_388,i_0_395,i_0_396,i_0_557,i_0_601,i_0_423,i_0_414,i_0_415]) ).
cnf(i_0_921,plain,
~ r2_hidden(esk4_0,esk9_1(esk4_0)),
inference(scs_inference,[],[i_0_505,i_0_510,i_0_509,i_0_506,i_0_529,i_0_660,i_0_747,i_0_840,i_0_859,i_0_483,i_0_646,i_0_642,i_0_816,i_0_801,i_0_431,i_0_904,i_0_907,i_0_297,i_0_455,i_0_388,i_0_395,i_0_396,i_0_557,i_0_601,i_0_423,i_0_414,i_0_415,i_0_352]) ).
cnf(i_0_924,plain,
v2_yellow_0(esk1_0),
inference(scs_inference,[],[i_0_505,i_0_510,i_0_509,i_0_506,i_0_529,i_0_731,i_0_660,i_0_747,i_0_840,i_0_859,i_0_483,i_0_646,i_0_642,i_0_816,i_0_801,i_0_431,i_0_904,i_0_907,i_0_297,i_0_455,i_0_388,i_0_395,i_0_396,i_0_557,i_0_601,i_0_423,i_0_414,i_0_415,i_0_352,i_0_602,i_0_432]) ).
cnf(i_0_926,plain,
v1_yellow_0(esk1_0),
inference(scs_inference,[],[i_0_505,i_0_510,i_0_509,i_0_506,i_0_529,i_0_731,i_0_660,i_0_747,i_0_840,i_0_859,i_0_483,i_0_646,i_0_642,i_0_816,i_0_801,i_0_431,i_0_904,i_0_907,i_0_297,i_0_455,i_0_388,i_0_395,i_0_396,i_0_557,i_0_601,i_0_423,i_0_414,i_0_415,i_0_352,i_0_602,i_0_432,i_0_433]) ).
cnf(i_0_941,plain,
m1_relset_1(k2_waybel34(esk2_0,esk1_0,esk4_0),u1_struct_0(esk2_0),u1_struct_0(esk1_0)),
inference(scs_inference,[],[i_0_861,i_0_502,i_0_455,i_0_297]) ).
cnf(i_0_943,plain,
v4_ordinal2(esk9_1(esk9_1(k1_zfmisc_1(esk15_0)))),
inference(scs_inference,[],[i_0_861,i_0_669,i_0_502,i_0_431,i_0_455,i_0_297,i_0_395]) ).
cnf(i_0_946,plain,
esk19_0 != esk5_0,
inference(scs_inference,[],[i_0_861,i_0_745,i_0_482,i_0_669,i_0_502,i_0_431,i_0_455,i_0_297,i_0_395,i_0_557]) ).
cnf(i_0_948,plain,
~ r2_hidden(X1,esk9_1(k1_zfmisc_1(k1_xboole_0))),
inference(rename_variables,[],[i_0_813]) ).
cnf(i_0_981,plain,
v4_ordinal2(esk9_1(esk9_1(k1_zfmisc_1(k1_xboole_0)))),
inference(scs_inference,[],[i_0_816,i_0_322,i_0_503,i_0_431,i_0_455,i_0_297,i_0_395]) ).
cnf(i_0_984,plain,
esk5_0 != k1_xboole_0,
inference(scs_inference,[],[i_0_816,i_0_793,i_0_801,i_0_322,i_0_503,i_0_431,i_0_455,i_0_297,i_0_395,i_0_601]) ).
cnf(i_0_986,plain,
esk19_0 != esk4_0,
inference(scs_inference,[],[i_0_859,i_0_482,i_0_816,i_0_793,i_0_801,i_0_322,i_0_503,i_0_431,i_0_455,i_0_297,i_0_395,i_0_601,i_0_557]) ).
cnf(i_0_1013,plain,
esk16_0 != esk9_1(k1_zfmisc_1(k1_xboole_0)),
inference(scs_inference,[],[i_0_813,i_0_684,i_0_601]) ).
cnf(i_0_1014,plain,
~ r2_hidden(X1,esk9_1(k1_zfmisc_1(k1_xboole_0))),
inference(rename_variables,[],[i_0_813]) ).
cnf(i_0_1028,plain,
esk5_0 != esk9_1(k1_zfmisc_1(esk19_0)),
inference(scs_inference,[],[i_0_663,i_0_801,i_0_601]) ).
cnf(i_0_1070,plain,
esk5_0 != esk9_1(k1_zfmisc_1(k1_xboole_0)),
inference(scs_inference,[],[i_0_813,i_0_801,i_0_601]) ).
cnf(i_0_1071,plain,
~ r2_hidden(X1,esk9_1(k1_zfmisc_1(k1_xboole_0))),
inference(rename_variables,[],[i_0_813]) ).
cnf(i_0_1120,plain,
v3_membered(esk9_1(k1_zfmisc_1(esk15_0))),
inference(equality_inference,[],[1110]) ).
cnf(i_0_1121,plain,
v2_membered(esk9_1(k1_zfmisc_1(esk15_0))),
inference(equality_inference,[],[1111]) ).
cnf(i_0_1122,plain,
v1_rat_1(esk9_1(esk9_1(k1_zfmisc_1(esk15_0)))),
inference(equality_inference,[],[1113]) ).
cnf(i_0_1123,plain,
v1_xreal_0(esk9_1(esk9_1(k1_zfmisc_1(esk15_0)))),
inference(equality_inference,[],[1115]) ).
cnf(i_0_1124,plain,
v1_xcmplx_0(esk9_1(esk9_1(k1_zfmisc_1(esk15_0)))),
inference(equality_inference,[],[1117]) ).
cnf(i_0_1131,plain,
v1_xcmplx_0(esk9_1(esk15_0)),
inference(equality_inference,[],[1125]) ).
cnf(i_0_1132,plain,
l1_orders_2(esk1_0),
inference(equality_inference,[],[1126]) ).
cnf(i_0_1133,plain,
v1_finset_1(esk19_0),
inference(equality_inference,[],[1127]) ).
cnf(i_0_1175,plain,
v4_membered(esk19_0),
inference(equality_inference,[],[1161]) ).
cnf(i_0_1176,plain,
v3_membered(esk19_0),
inference(equality_inference,[],[1162]) ).
cnf(i_0_1177,plain,
v2_membered(esk19_0),
inference(equality_inference,[],[1164]) ).
cnf(i_0_1178,plain,
v1_xreal_0(esk9_1(esk19_0)),
inference(equality_inference,[],[1166]) ).
cnf(i_0_1179,plain,
v1_xcmplx_0(esk9_1(esk19_0)),
inference(equality_inference,[],[1168]) ).
cnf(i_0_1180,plain,
v1_rat_1(esk9_1(esk19_0)),
inference(equality_inference,[],[1170]) ).
cnf(i_0_1181,plain,
v1_int_1(esk9_1(esk19_0)),
inference(equality_inference,[],[1172]) ).
cnf(i_0_1188,plain,
v1_rat_1(esk9_1(k1_xboole_0)),
inference(equality_inference,[],[1182]) ).
cnf(i_0_1203,plain,
l1_orders_2(esk20_0),
inference(equality_inference,[],[1197]) ).
cnf(i_0_1204,plain,
v1_relat_1(esk22_0),
inference(equality_inference,[],[1198]) ).
cnf(i_0_1205,plain,
v1_finset_1(k1_xboole_0),
inference(equality_inference,[],[1199]) ).
cnf(i_0_1209,plain,
v1_xcmplx_0(esk9_1(esk9_1(k1_zfmisc_1(esk19_0)))),
inference(scs_inference,[],[i_0_431,i_0_1194,i_0_409]) ).
cnf(i_0_1230,plain,
v1_rat_1(esk9_1(esk19_0)),
inference(equality_inference,[],[1224]) ).
cnf(i_0_1231,plain,
v1_xreal_0(esk9_1(esk19_0)),
inference(equality_inference,[],[1225]) ).
cnf(i_0_1266,plain,
v1_int_1(esk9_1(k1_xboole_0)),
inference(equality_inference,[],[1260]) ).
cnf(i_0_1267,plain,
v1_rat_1(esk9_1(esk15_0)),
inference(equality_inference,[],[1261]) ).
cnf(i_0_1268,plain,
v1_xreal_0(esk9_1(esk15_0)),
inference(equality_inference,[],[1262]) ).
cnf(i_0_1269,plain,
~ r2_hidden(esk16_0,esk9_1(esk16_0)),
inference(equality_inference,[],[1263]) ).
cnf(i_0_1274,plain,
~ r2_hidden(esk19_0,esk9_1(k1_zfmisc_1(esk16_0))),
inference(equality_inference,[],[1270]) ).
cnf(i_0_1436,plain,
v1_membered(esk9_1(k1_zfmisc_1(esk9_1(k1_zfmisc_1(esk15_0))))),
inference(equality_inference,[],[1433]) ).
cnf(i_0_1443,plain,
v1_membered(esk9_1(k1_zfmisc_1(esk9_1(k1_zfmisc_1(k1_xboole_0))))),
inference(equality_inference,[],[1440]) ).
cnf(i_0_1460,plain,
~ r2_hidden(k1_xboole_0,esk16_0),
inference(scs_inference,[],[i_0_420,i_0_845,i_0_534,i_0_535,i_0_536,i_0_537,i_0_538,i_0_539,i_0_540,i_0_541,i_0_542,i_0_543,i_0_544,i_0_545,i_0_546,i_0_547,i_0_548,i_0_549,i_0_393]) ).
cnf(i_0_1462,plain,
~ v1_xboole_0(esk25_1(esk15_0)),
inference(scs_inference,[],[i_0_470,i_0_420,i_0_845,i_0_534,i_0_535,i_0_536,i_0_537,i_0_538,i_0_539,i_0_540,i_0_541,i_0_542,i_0_543,i_0_544,i_0_545,i_0_546,i_0_547,i_0_548,i_0_549,i_0_393,i_0_428]) ).
cnf(i_0_1464,plain,
~ v1_xboole_0(esk21_1(esk15_0)),
inference(scs_inference,[],[i_0_470,i_0_420,i_0_845,i_0_534,i_0_535,i_0_536,i_0_537,i_0_538,i_0_539,i_0_540,i_0_541,i_0_542,i_0_543,i_0_544,i_0_545,i_0_546,i_0_547,i_0_548,i_0_549,i_0_393,i_0_428,i_0_429]) ).
cnf(i_0_1466,plain,
v5_membered(k1_tarski(esk9_1(esk15_0))),
inference(scs_inference,[],[i_0_470,i_0_420,i_0_687,i_0_845,i_0_534,i_0_535,i_0_536,i_0_537,i_0_538,i_0_539,i_0_540,i_0_541,i_0_542,i_0_543,i_0_544,i_0_545,i_0_546,i_0_547,i_0_548,i_0_549,i_0_393,i_0_428,i_0_429,i_0_434]) ).
cnf(i_0_1468,plain,
v4_membered(k1_tarski(esk9_1(esk15_0))),
inference(scs_inference,[],[i_0_470,i_0_420,i_0_687,i_0_845,i_0_534,i_0_535,i_0_536,i_0_537,i_0_538,i_0_539,i_0_540,i_0_541,i_0_542,i_0_543,i_0_544,i_0_545,i_0_546,i_0_547,i_0_548,i_0_549,i_0_393,i_0_428,i_0_429,i_0_434,i_0_435]) ).
cnf(i_0_1470,plain,
v4_membered(k1_tarski(esk9_1(esk19_0))),
inference(scs_inference,[],[i_0_470,i_0_420,i_0_828,i_0_687,i_0_845,i_0_534,i_0_535,i_0_536,i_0_537,i_0_538,i_0_539,i_0_540,i_0_541,i_0_542,i_0_543,i_0_544,i_0_545,i_0_546,i_0_547,i_0_548,i_0_549,i_0_393,i_0_428,i_0_429,i_0_434,i_0_435,i_0_436]) ).
cnf(i_0_1472,plain,
v3_membered(k1_tarski(esk9_1(esk15_0))),
inference(scs_inference,[],[i_0_470,i_0_420,i_0_828,i_0_687,i_0_845,i_0_534,i_0_535,i_0_536,i_0_537,i_0_538,i_0_539,i_0_540,i_0_541,i_0_542,i_0_543,i_0_544,i_0_545,i_0_546,i_0_547,i_0_548,i_0_549,i_0_393,i_0_428,i_0_429,i_0_434,i_0_435,i_0_436,i_0_437]) ).
cnf(i_0_1474,plain,
v3_membered(k1_tarski(esk9_1(esk19_0))),
inference(scs_inference,[],[i_0_470,i_0_420,i_0_828,i_0_687,i_0_845,i_0_534,i_0_535,i_0_536,i_0_537,i_0_538,i_0_539,i_0_540,i_0_541,i_0_542,i_0_543,i_0_544,i_0_545,i_0_546,i_0_547,i_0_548,i_0_549,i_0_393,i_0_428,i_0_429,i_0_434,i_0_435,i_0_436,i_0_437,i_0_438]) ).
cnf(i_0_1476,plain,
v3_membered(k1_tarski(esk9_1(k1_xboole_0))),
inference(scs_inference,[],[i_0_470,i_0_420,i_0_699,i_0_828,i_0_687,i_0_845,i_0_534,i_0_535,i_0_536,i_0_537,i_0_538,i_0_539,i_0_540,i_0_541,i_0_542,i_0_543,i_0_544,i_0_545,i_0_546,i_0_547,i_0_548,i_0_549,i_0_393,i_0_428,i_0_429,i_0_434,i_0_435,i_0_436,i_0_437,i_0_438,i_0_439]) ).
cnf(c_0_992,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
i_0_297 ).
cnf(c_0_993,negated_conjecture,
m2_relset_1(esk5_0,u1_struct_0(esk2_0),u1_struct_0(esk3_0)),
i_0_338 ).
cnf(c_0_994,plain,
( v3_waybel_1(k1_waybel_1(X1,X2,X3,X4),X1,X2)
| X3 != k2_waybel34(X1,X2,X4)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X2)
| ~ v18_waybel_0(X4,X2,X1)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X2),u1_struct_0(X1))
| ~ m2_relset_1(X4,u1_struct_0(X2),u1_struct_0(X1))
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1) ),
i_0_261 ).
cnf(c_0_995,plain,
( v1_funct_1(k2_waybel34(X1,X2,X3))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ m1_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) ),
i_0_282 ).
cnf(c_0_996,negated_conjecture,
m1_relset_1(esk5_0,u1_struct_0(esk2_0),u1_struct_0(esk3_0)),
inference(spm,[status(thm)],[c_0_992,c_0_993]) ).
cnf(c_0_997,negated_conjecture,
v2_lattice3(esk2_0),
i_0_513 ).
cnf(c_0_998,negated_conjecture,
v2_lattice3(esk3_0),
i_0_512 ).
cnf(c_0_999,negated_conjecture,
v1_lattice3(esk2_0),
i_0_517 ).
cnf(c_0_1000,negated_conjecture,
v1_lattice3(esk3_0),
i_0_516 ).
cnf(c_0_1001,negated_conjecture,
v1_funct_2(esk5_0,u1_struct_0(esk2_0),u1_struct_0(esk3_0)),
i_0_340 ).
cnf(c_0_1002,negated_conjecture,
v1_funct_1(esk5_0),
i_0_500 ).
cnf(c_0_1003,negated_conjecture,
l1_orders_2(esk2_0),
i_0_505 ).
cnf(c_0_1004,negated_conjecture,
l1_orders_2(esk3_0),
i_0_504 ).
cnf(c_0_1005,negated_conjecture,
v4_orders_2(esk2_0),
i_0_521 ).
cnf(c_0_1006,negated_conjecture,
v4_orders_2(esk3_0),
i_0_520 ).
cnf(c_0_1007,negated_conjecture,
v3_orders_2(esk2_0),
i_0_525 ).
cnf(c_0_1008,negated_conjecture,
v3_orders_2(esk3_0),
i_0_524 ).
cnf(c_0_1009,negated_conjecture,
v2_orders_2(esk2_0),
i_0_529 ).
cnf(c_0_1010,negated_conjecture,
v2_orders_2(esk3_0),
i_0_528 ).
cnf(c_0_1011,plain,
( ~ l1_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v3_struct_0(X1) ),
i_0_427 ).
cnf(c_0_1012,negated_conjecture,
m2_relset_1(esk4_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
i_0_339 ).
cnf(c_0_1013,plain,
( v3_waybel_1(k1_waybel_1(X1,X2,k2_waybel34(X1,X2,X3),X3),X1,X2)
| ~ v2_lattice3(X2)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X2)
| ~ v1_lattice3(X1)
| ~ v3_lattice3(X2)
| ~ v3_lattice3(X1)
| ~ v18_waybel_0(X3,X2,X1)
| ~ m2_relset_1(k2_waybel34(X1,X2,X3),u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_2(k2_waybel34(X1,X2,X3),u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_1(k2_waybel34(X1,X2,X3))
| ~ v1_funct_1(X3)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ v4_orders_2(X2)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v2_orders_2(X1) ),
inference(er,[status(thm)],[c_0_994]) ).
cnf(c_0_1014,plain,
m2_relset_1(k2_waybel34(esk3_0,esk2_0,esk5_0),u1_struct_0(esk3_0),u1_struct_0(esk2_0)),
i_0_747 ).
cnf(c_0_1015,negated_conjecture,
v3_lattice3(esk2_0),
i_0_509 ).
cnf(c_0_1016,negated_conjecture,
v3_lattice3(esk3_0),
i_0_508 ).
cnf(c_0_1017,negated_conjecture,
v18_waybel_0(esk5_0,esk2_0,esk3_0),
i_0_348 ).
cnf(c_0_1018,plain,
v1_funct_2(k2_waybel34(esk3_0,esk2_0,esk5_0),u1_struct_0(esk3_0),u1_struct_0(esk2_0)),
i_0_749 ).
cnf(c_0_1019,negated_conjecture,
v1_funct_1(k2_waybel34(esk3_0,esk2_0,esk5_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_995,c_0_996]),c_0_997]),c_0_998]),c_0_999]),c_0_1000]),c_0_1001]),c_0_1002]),c_0_1003]),c_0_1004]),c_0_1005]),c_0_1006]),c_0_1007]),c_0_1008]),c_0_1009]),c_0_1010])]) ).
cnf(c_0_1020,plain,
( v3_struct_0(X1)
| epred1_1(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ l1_orders_2(X1) ),
i_0_391 ).
cnf(c_0_1021,negated_conjecture,
~ v3_struct_0(esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1011,c_0_1000]),c_0_1004])]) ).
cnf(c_0_1022,negated_conjecture,
m1_relset_1(esk4_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(spm,[status(thm)],[c_0_992,c_0_1012]) ).
cnf(c_0_1023,negated_conjecture,
v2_lattice3(esk1_0),
i_0_514 ).
cnf(c_0_1024,negated_conjecture,
v1_lattice3(esk1_0),
i_0_518 ).
cnf(c_0_1025,negated_conjecture,
v1_funct_2(esk4_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
i_0_341 ).
cnf(c_0_1026,negated_conjecture,
v1_funct_1(esk4_0),
i_0_501 ).
cnf(c_0_1027,negated_conjecture,
l1_orders_2(esk1_0),
i_0_506 ).
cnf(c_0_1028,negated_conjecture,
v4_orders_2(esk1_0),
i_0_522 ).
cnf(c_0_1029,negated_conjecture,
v3_orders_2(esk1_0),
i_0_526 ).
cnf(c_0_1030,negated_conjecture,
v2_orders_2(esk1_0),
i_0_530 ).
cnf(c_0_1031,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v3_waybel_1(k1_waybel_1(X3,X2,k7_funct_2(u1_struct_0(X3),u1_struct_0(X1),u1_struct_0(X2),X4,X5),k7_funct_2(u1_struct_0(X2),u1_struct_0(X1),u1_struct_0(X3),X6,X7)),X3,X2)
| ~ epred1_1(X3)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ l1_orders_2(X2)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X3),u1_struct_0(X1))
| ~ m2_relset_1(X4,u1_struct_0(X3),u1_struct_0(X1))
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(X5,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X7)
| ~ v1_funct_2(X7,u1_struct_0(X1),u1_struct_0(X3))
| ~ m2_relset_1(X7,u1_struct_0(X1),u1_struct_0(X3))
| ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,u1_struct_0(X2),u1_struct_0(X1))
| ~ m2_relset_1(X6,u1_struct_0(X2),u1_struct_0(X1))
| ~ v3_waybel_1(k1_waybel_1(X3,X1,X4,X7),X3,X1)
| ~ v3_waybel_1(k1_waybel_1(X1,X2,X5,X6),X1,X2) ),
i_0_253 ).
cnf(c_0_1032,plain,
v3_waybel_1(k1_waybel_1(esk3_0,esk2_0,k2_waybel34(esk3_0,esk2_0,esk5_0),esk5_0),esk3_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1013,c_0_1014]),c_0_997]),c_0_998]),c_0_999]),c_0_1000]),c_0_1015]),c_0_1016]),c_0_1017]),c_0_993]),c_0_1018]),c_0_1001]),c_0_1019]),c_0_1002]),c_0_1003]),c_0_1004]),c_0_1005]),c_0_1006]),c_0_1007]),c_0_1008]),c_0_1009]),c_0_1010])]) ).
cnf(c_0_1033,negated_conjecture,
epred1_1(esk3_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_1020,c_0_1004]),c_0_1006]),c_0_1008]),c_0_1010])]),c_0_1021]) ).
cnf(c_0_1034,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1011,c_0_999]),c_0_1003])]) ).
cnf(c_0_1035,plain,
m2_relset_1(k2_waybel34(esk2_0,esk1_0,esk4_0),u1_struct_0(esk2_0),u1_struct_0(esk1_0)),
i_0_861 ).
cnf(c_0_1036,negated_conjecture,
v3_lattice3(esk1_0),
i_0_510 ).
cnf(c_0_1037,negated_conjecture,
v18_waybel_0(esk4_0,esk1_0,esk2_0),
i_0_349 ).
cnf(c_0_1038,plain,
v1_funct_2(k2_waybel34(esk2_0,esk1_0,esk4_0),u1_struct_0(esk2_0),u1_struct_0(esk1_0)),
i_0_863 ).
cnf(c_0_1039,negated_conjecture,
v1_funct_1(k2_waybel34(esk2_0,esk1_0,esk4_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_995,c_0_1022]),c_0_1023]),c_0_997]),c_0_1024]),c_0_999]),c_0_1025]),c_0_1026]),c_0_1027]),c_0_1003]),c_0_1028]),c_0_1005]),c_0_1029]),c_0_1007]),c_0_1030]),c_0_1009])]) ).
cnf(c_0_1040,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v3_struct_0(X3)
| v18_waybel_0(k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X3),X4,X5),X1,X3)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X3)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,u1_struct_0(X2),u1_struct_0(X3))
| ~ m2_relset_1(X5,u1_struct_0(X2),u1_struct_0(X3))
| ~ v18_waybel_0(X4,X1,X2)
| ~ v18_waybel_0(X5,X2,X3) ),
i_0_255 ).
cnf(c_0_1041,plain,
( v3_waybel_1(k1_waybel_1(esk3_0,X1,k7_funct_2(u1_struct_0(esk3_0),u1_struct_0(esk2_0),u1_struct_0(X1),k2_waybel34(esk3_0,esk2_0,esk5_0),X2),k7_funct_2(u1_struct_0(X1),u1_struct_0(esk2_0),u1_struct_0(esk3_0),X3,esk5_0)),esk3_0,X1)
| v3_struct_0(X1)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(esk2_0))
| ~ m2_relset_1(X2,u1_struct_0(esk2_0),u1_struct_0(X1))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(esk2_0))
| ~ v1_funct_2(X2,u1_struct_0(esk2_0),u1_struct_0(X1))
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ v3_waybel_1(k1_waybel_1(esk2_0,X1,X2,X3),esk2_0,X1) ),
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(spm,[status(thm)],[c_0_1031,c_0_1032]),c_0_993]),c_0_1014]),c_0_1001]),c_0_1018]),c_0_1002]),c_0_1019]),c_0_1003]),c_0_1005]),c_0_1007]),c_0_1009]),c_0_1033])]),c_0_1034]) ).
cnf(c_0_1042,plain,
v3_waybel_1(k1_waybel_1(esk2_0,esk1_0,k2_waybel34(esk2_0,esk1_0,esk4_0),esk4_0),esk2_0,esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1013,c_0_1035]),c_0_1023]),c_0_997]),c_0_1024]),c_0_999]),c_0_1036]),c_0_1015]),c_0_1037]),c_0_1012]),c_0_1038]),c_0_1025]),c_0_1039]),c_0_1026]),c_0_1027]),c_0_1003]),c_0_1028]),c_0_1005]),c_0_1029]),c_0_1007]),c_0_1030]),c_0_1009])]) ).
cnf(c_0_1043,plain,
~ v3_struct_0(esk1_0),
i_0_840 ).
cnf(c_0_1044,negated_conjecture,
( v18_waybel_0(k7_funct_2(u1_struct_0(X1),u1_struct_0(esk2_0),u1_struct_0(esk3_0),X2,esk5_0),X1,esk3_0)
| v3_struct_0(X1)
| ~ v18_waybel_0(X2,X1,esk2_0)
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(esk2_0))
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(esk2_0))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X1) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1040,c_0_993]),c_0_1017]),c_0_1001]),c_0_1002]),c_0_1004]),c_0_1003])]),c_0_1021]),c_0_1034]) ).
cnf(c_0_1045,plain,
( m2_relset_1(k7_funct_2(X1,X2,X3,X4,X5),X1,X3)
| v1_xboole_0(X2)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,X1,X2)
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,X2,X3)
| ~ m1_relset_1(X5,X2,X3) ),
i_0_256 ).
cnf(c_0_1046,plain,
m1_relset_1(k2_waybel34(esk2_0,esk1_0,esk4_0),u1_struct_0(esk2_0),u1_struct_0(esk1_0)),
i_0_941 ).
cnf(c_0_1047,plain,
( v1_funct_1(k7_funct_2(X1,X2,X3,X4,X5))
| v1_xboole_0(X2)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,X1,X2)
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,X2,X3)
| ~ m1_relset_1(X5,X2,X3) ),
i_0_258 ).
cnf(c_0_1048,plain,
( v1_funct_2(k7_funct_2(X1,X2,X3,X4,X5),X1,X3)
| v1_xboole_0(X2)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,X1,X2)
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,X2,X3)
| ~ m1_relset_1(X5,X2,X3) ),
i_0_257 ).
cnf(c_0_1049,plain,
( X1 = k2_waybel34(X2,X3,X4)
| ~ v3_waybel_1(k1_waybel_1(X2,X3,X1,X4),X2,X3)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ m2_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v3_lattice3(X2)
| ~ v3_lattice3(X3)
| ~ v18_waybel_0(X4,X3,X2)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X3),u1_struct_0(X2))
| ~ m2_relset_1(X4,u1_struct_0(X3),u1_struct_0(X2))
| ~ v2_orders_2(X3)
| ~ v3_orders_2(X3)
| ~ v4_orders_2(X3)
| ~ v1_lattice3(X3)
| ~ v2_lattice3(X3)
| ~ l1_orders_2(X3)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2) ),
i_0_260 ).
cnf(c_0_1050,plain,
v3_waybel_1(k1_waybel_1(esk3_0,esk1_0,k7_funct_2(u1_struct_0(esk3_0),u1_struct_0(esk2_0),u1_struct_0(esk1_0),k2_waybel34(esk3_0,esk2_0,esk5_0),k2_waybel34(esk2_0,esk1_0,esk4_0)),k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),u1_struct_0(esk3_0),esk4_0,esk5_0)),esk3_0,esk1_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1041,c_0_1042]),c_0_1012]),c_0_1035]),c_0_1025]),c_0_1038]),c_0_1026]),c_0_1039]),c_0_1027]),c_0_1028]),c_0_1029]),c_0_1030])]),c_0_1043]) ).
cnf(c_0_1051,negated_conjecture,
v18_waybel_0(k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),u1_struct_0(esk3_0),esk4_0,esk5_0),esk1_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(spm,[status(thm)],[c_0_1044,c_0_1012]),c_0_1037]),c_0_1025]),c_0_1026]),c_0_1027])]),c_0_1043]) ).
cnf(c_0_1052,negated_conjecture,
k2_waybel34(esk3_0,esk1_0,k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),u1_struct_0(esk3_0),esk4_0,esk5_0)) != k7_funct_2(u1_struct_0(esk3_0),u1_struct_0(esk2_0),u1_struct_0(esk1_0),k2_waybel34(esk3_0,esk2_0,esk5_0),k2_waybel34(esk2_0,esk1_0,esk4_0)),
i_0_254 ).
cnf(c_0_1053,plain,
( v1_xboole_0(u1_struct_0(esk2_0))
| m2_relset_1(k7_funct_2(X1,u1_struct_0(esk2_0),u1_struct_0(esk1_0),X2,k2_waybel34(esk2_0,esk1_0,esk4_0)),X1,u1_struct_0(esk1_0))
| ~ m1_relset_1(X2,X1,u1_struct_0(esk2_0))
| ~ v1_funct_2(X2,X1,u1_struct_0(esk2_0))
| ~ v1_funct_1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1045,c_0_1046]),c_0_1038]),c_0_1039])]) ).
cnf(c_0_1054,plain,
m1_relset_1(k2_waybel34(esk3_0,esk2_0,esk5_0),u1_struct_0(esk3_0),u1_struct_0(esk2_0)),
i_0_899 ).
cnf(c_0_1055,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk2_0))
| v1_funct_1(k7_funct_2(X1,u1_struct_0(esk2_0),u1_struct_0(esk3_0),X2,esk5_0))
| ~ m1_relset_1(X2,X1,u1_struct_0(esk2_0))
| ~ v1_funct_2(X2,X1,u1_struct_0(esk2_0))
| ~ v1_funct_1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1047,c_0_996]),c_0_1001]),c_0_1002])]) ).
cnf(c_0_1056,plain,
( v1_xboole_0(u1_struct_0(esk2_0))
| v1_funct_1(k7_funct_2(X1,u1_struct_0(esk2_0),u1_struct_0(esk1_0),X2,k2_waybel34(esk2_0,esk1_0,esk4_0)))
| ~ m1_relset_1(X2,X1,u1_struct_0(esk2_0))
| ~ v1_funct_2(X2,X1,u1_struct_0(esk2_0))
| ~ v1_funct_1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1047,c_0_1046]),c_0_1038])]),c_0_1039])]) ).
cnf(c_0_1057,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk2_0))
| v1_funct_2(k7_funct_2(X1,u1_struct_0(esk2_0),u1_struct_0(esk3_0),X2,esk5_0),X1,u1_struct_0(esk3_0))
| ~ m1_relset_1(X2,X1,u1_struct_0(esk2_0))
| ~ v1_funct_2(X2,X1,u1_struct_0(esk2_0))
| ~ v1_funct_1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1048,c_0_996]),c_0_1001]),c_0_1002])]) ).
cnf(c_0_1058,plain,
( v1_xboole_0(u1_struct_0(esk2_0))
| v1_funct_2(k7_funct_2(X1,u1_struct_0(esk2_0),u1_struct_0(esk1_0),X2,k2_waybel34(esk2_0,esk1_0,esk4_0)),X1,u1_struct_0(esk1_0))
| ~ m1_relset_1(X2,X1,u1_struct_0(esk2_0))
| ~ v1_funct_2(X2,X1,u1_struct_0(esk2_0))
| ~ v1_funct_1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1048,c_0_1046]),c_0_1038]),c_0_1039])]) ).
cnf(c_0_1059,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk2_0))
| m2_relset_1(k7_funct_2(X1,u1_struct_0(esk2_0),u1_struct_0(esk3_0),X2,esk5_0),X1,u1_struct_0(esk3_0))
| ~ m1_relset_1(X2,X1,u1_struct_0(esk2_0))
| ~ v1_funct_2(X2,X1,u1_struct_0(esk2_0))
| ~ v1_funct_1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1045,c_0_996]),c_0_1001]),c_0_1002])]) ).
cnf(c_0_1060,plain,
( ~ m2_relset_1(k7_funct_2(u1_struct_0(esk3_0),u1_struct_0(esk2_0),u1_struct_0(esk1_0),k2_waybel34(esk3_0,esk2_0,esk5_0),k2_waybel34(esk2_0,esk1_0,esk4_0)),u1_struct_0(esk3_0),u1_struct_0(esk1_0))
| ~ m2_relset_1(k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),u1_struct_0(esk3_0),esk4_0,esk5_0),u1_struct_0(esk1_0),u1_struct_0(esk3_0))
| ~ v1_funct_2(k7_funct_2(u1_struct_0(esk3_0),u1_struct_0(esk2_0),u1_struct_0(esk1_0),k2_waybel34(esk3_0,esk2_0,esk5_0),k2_waybel34(esk2_0,esk1_0,esk4_0)),u1_struct_0(esk3_0),u1_struct_0(esk1_0))
| ~ v1_funct_2(k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),u1_struct_0(esk3_0),esk4_0,esk5_0),u1_struct_0(esk1_0),u1_struct_0(esk3_0))
| ~ v1_funct_1(k7_funct_2(u1_struct_0(esk3_0),u1_struct_0(esk2_0),u1_struct_0(esk1_0),k2_waybel34(esk3_0,esk2_0,esk5_0),k2_waybel34(esk2_0,esk1_0,esk4_0)))
| ~ v1_funct_1(k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),u1_struct_0(esk3_0),esk4_0,esk5_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(rw,[status(thm)],[inference(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_1049,c_0_1050]),c_0_1023]),c_0_998]),c_0_1024]),c_0_1000]),c_0_1036]),c_0_1016]),c_0_1051]),c_0_1027]),c_0_1004]),c_0_1028]),c_0_1006]),c_0_1029]),c_0_1008]),c_0_1030]),c_0_1010])]),c_0_1052]) ).
cnf(c_0_1061,plain,
( v1_xboole_0(u1_struct_0(esk2_0))
| m2_relset_1(k7_funct_2(u1_struct_0(esk3_0),u1_struct_0(esk2_0),u1_struct_0(esk1_0),k2_waybel34(esk3_0,esk2_0,esk5_0),k2_waybel34(esk2_0,esk1_0,esk4_0)),u1_struct_0(esk3_0),u1_struct_0(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1053,c_0_1054]),c_0_1018]),c_0_1019])]) ).
cnf(c_0_1062,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk2_0))
| v1_funct_1(k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),u1_struct_0(esk3_0),esk4_0,esk5_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1055,c_0_1022]),c_0_1025]),c_0_1026])]) ).
cnf(c_0_1063,plain,
( v1_xboole_0(u1_struct_0(esk2_0))
| v1_funct_1(k7_funct_2(u1_struct_0(esk3_0),u1_struct_0(esk2_0),u1_struct_0(esk1_0),k2_waybel34(esk3_0,esk2_0,esk5_0),k2_waybel34(esk2_0,esk1_0,esk4_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1056,c_0_1054]),c_0_1018]),c_0_1019])]) ).
cnf(c_0_1064,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk2_0))
| v1_funct_2(k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),u1_struct_0(esk3_0),esk4_0,esk5_0),u1_struct_0(esk1_0),u1_struct_0(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1057,c_0_1022]),c_0_1025]),c_0_1026])]) ).
cnf(c_0_1065,plain,
( v1_xboole_0(u1_struct_0(esk2_0))
| v1_funct_2(k7_funct_2(u1_struct_0(esk3_0),u1_struct_0(esk2_0),u1_struct_0(esk1_0),k2_waybel34(esk3_0,esk2_0,esk5_0),k2_waybel34(esk2_0,esk1_0,esk4_0)),u1_struct_0(esk3_0),u1_struct_0(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1058,c_0_1054]),c_0_1018]),c_0_1019])]) ).
cnf(c_0_1066,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk2_0))
| m2_relset_1(k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),u1_struct_0(esk3_0),esk4_0,esk5_0),u1_struct_0(esk1_0),u1_struct_0(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1059,c_0_1022]),c_0_1025]),c_0_1026])]) ).
cnf(c_0_1067,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
i_0_419 ).
cnf(c_0_1068,plain,
v1_xboole_0(u1_struct_0(esk2_0)),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1060,c_0_1061]),c_0_1062]),c_0_1063]),c_0_1064]),c_0_1065]),c_0_1066]) ).
cnf(c_0_1069,plain,
l1_struct_0(esk2_0),
i_0_901 ).
cnf(c_0_1070,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1067,c_0_1068]),c_0_1069])]),c_0_1034]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : LAT358+1 : TPTP v9.2.1. Released v3.4.0.
% 0.00/0.09 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.09/0.31 % Computer : n001.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Mon May 4 21:37:03 EDT 2026
% 0.09/0.31 % CPUTime :
% 0.09/0.32 % start to proof: theBenchmark
% 167.87/86.82 % Version : CSE_E---1.7
% 167.87/86.82 % Problem : theBenchmark.p
% 167.87/86.82 % SZS status Theorem for theBenchmark.p
% 167.87/86.82 % SZS output start CNFRefutation
% See solution above
% 183.88/102.80 % Total time : 85.991s
%------------------------------------------------------------------------------