%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LAT350+1 : TPTP v9.2.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n013.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 04:38:15 PM UTC 2026
% Result : Theorem 239.96s 174.84s
% Output : CNFRefutation 240.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 22
% Syntax : Number of formulae : 117 ( 30 unt; 0 def)
% Number of atoms : 837 ( 67 equ)
% Maximal formula atoms : 82 ( 7 avg)
% Number of connectives : 1196 ( 476 ~; 492 |; 167 &)
% ( 13 <=>; 48 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 7 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 22 ( 20 usr; 1 prp; 0-3 aty)
% Number of functors : 29 ( 29 usr; 4 con; 0-5 aty)
% Number of variables : 243 ( 11 sgn 136 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fraenkel_a_4_1_waybel22,axiom,
! [X1,X2,X3,X4,X5] :
( ( ~ v3_struct_0(X3)
& v2_orders_2(X3)
& v3_orders_2(X3)
& v4_orders_2(X3)
& v3_lattice3(X3)
& v3_waybel_3(X3)
& l1_orders_2(X3)
& v1_funct_1(X4)
& v1_funct_2(X4,k1_waybel22(X2),u1_struct_0(X3))
& m2_relset_1(X4,k1_waybel22(X2),u1_struct_0(X3))
& m1_subset_1(X5,k1_zfmisc_1(X2)) )
=> ( r2_hidden(X1,a_4_1_waybel22(X2,X3,X4,X5))
<=> ? [X6] :
( m1_subset_1(X6,u1_struct_0(k3_yellow_1(X2)))
& X1 = k1_funct_1(X4,k7_waybel_0(k3_yellow_1(X2),X6))
& ? [X7] :
( m1_subset_1(X7,X2)
& X6 = k1_tarski(X7)
& r2_hidden(X7,X5) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fraenkel_a_4_1_waybel22) ).
fof(rc2_subset_1,axiom,
! [X1] :
? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_subset_1) ).
fof(t15_waybel16,axiom,
! [X1] : k4_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1)))) = k1_zfmisc_1(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_waybel16) ).
fof(t6_boole,axiom,
! [X1] :
( v1_xboole_0(X1)
=> X1 = k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(d1_xboole_0,axiom,
! [X1] :
( X1 = k1_xboole_0
<=> ! [X2] : ~ r2_hidden(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_xboole_0) ).
fof(fraenkel_a_4_0_waybel22,axiom,
! [X1,X2,X3,X4,X5] :
( ( ~ v3_struct_0(X3)
& v2_orders_2(X3)
& v3_orders_2(X3)
& v4_orders_2(X3)
& v3_lattice3(X3)
& v3_waybel_3(X3)
& l1_orders_2(X3)
& v1_funct_1(X4)
& v1_funct_2(X4,k1_waybel22(X2),u1_struct_0(X3))
& m2_relset_1(X4,k1_waybel22(X2),u1_struct_0(X3))
& m1_subset_1(X5,u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))) )
=> ( r2_hidden(X1,a_4_0_waybel22(X2,X3,X4,X5))
<=> ? [X6] :
( m1_subset_1(X6,k1_zfmisc_1(X2))
& X1 = k2_yellow_0(X3,a_4_1_waybel22(X2,X3,X4,X6))
& r2_hidden(X6,X5) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fraenkel_a_4_0_waybel22) ).
fof(t2_tarski,axiom,
! [X1,X2] :
( ! [X3] :
( r2_hidden(X3,X1)
<=> r2_hidden(X3,X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_tarski) ).
fof(t32_yellow_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v4_orders_2(X1)
& v3_lattice3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( X2 = k1_yellow_0(X1,X3)
<=> ( r2_lattice3(X1,X3,X2)
& ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( r2_lattice3(X1,X3,X4)
=> r1_orders_2(X1,X2,X4) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t32_yellow_0) ).
fof(t13_waybel22,conjecture,
! [X1,X2] :
( ( ~ v3_struct_0(X2)
& v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v3_lattice3(X2)
& v3_waybel_3(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,k1_waybel22(X1),u1_struct_0(X2))
& m2_relset_1(X3,k1_waybel22(X1),u1_struct_0(X2)) )
=> k1_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))),X2,k2_waybel22(X1,X2,X3),k4_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))) = k4_yellow_0(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_waybel22) ).
fof(dt_k1_yellow_0,axiom,
! [X1,X2] :
( l1_orders_2(X1)
=> m1_subset_1(k1_yellow_0(X1,X2),u1_struct_0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_yellow_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/sandbox/benchmark/theBenchmark.p',cc3_yellow_0) ).
fof(d3_waybel22,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X2)
& v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v3_lattice3(X2)
& v3_waybel_3(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,k1_waybel22(X1),u1_struct_0(X2))
& m2_relset_1(X3,k1_waybel22(X1),u1_struct_0(X2)) )
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1)))),u1_struct_0(X2))
& m2_relset_1(X4,u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1)))),u1_struct_0(X2)) )
=> ( X4 = k2_waybel22(X1,X2,X3)
<=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1)))))
=> k1_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))),X2,X4,X5) = k1_yellow_0(X2,a_4_0_waybel22(X1,X2,X3,X5)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_waybel22) ).
fof(t5_waybel15,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v4_orders_2(X1)
& v2_yellow_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ( r1_orders_2(X1,k4_yellow_0(X1),X2)
=> X2 = k4_yellow_0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_waybel15) ).
fof(d9_lattice3,axiom,
! [X1] :
( l1_orders_2(X1)
=> ! [X2,X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r2_lattice3(X1,X2,X3)
<=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( r2_hidden(X4,X2)
=> r1_orders_2(X1,X4,X3) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_lattice3) ).
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/sandbox/benchmark/theBenchmark.p',cc4_yellow_0) ).
fof(fc1_subset_1,axiom,
! [X1] : ~ v1_xboole_0(k1_zfmisc_1(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_subset_1) ).
fof(dt_k4_yellow_0,axiom,
! [X1] :
( l1_orders_2(X1)
=> m1_subset_1(k4_yellow_0(X1),u1_struct_0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_yellow_0) ).
fof(d12_yellow_0,axiom,
! [X1] :
( l1_orders_2(X1)
=> k4_yellow_0(X1) = k2_yellow_0(X1,k1_xboole_0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d12_yellow_0) ).
fof(t2_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,X2)
=> ( v1_xboole_0(X2)
| r2_hidden(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(dt_k2_yellow_1,axiom,
! [X1] :
( v1_orders_2(k2_yellow_1(X1))
& l1_orders_2(k2_yellow_1(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_yellow_1) ).
fof(dt_k2_waybel22,axiom,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X2)
& v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v3_lattice3(X2)
& v3_waybel_3(X2)
& l1_orders_2(X2)
& v1_funct_1(X3)
& v1_funct_2(X3,k1_waybel22(X1),u1_struct_0(X2))
& m1_relset_1(X3,k1_waybel22(X1),u1_struct_0(X2)) )
=> ( v1_funct_1(k2_waybel22(X1,X2,X3))
& v1_funct_2(k2_waybel22(X1,X2,X3),u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1)))),u1_struct_0(X2))
& m2_relset_1(k2_waybel22(X1,X2,X3),u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1)))),u1_struct_0(X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_waybel22) ).
fof(redefinition_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
<=> m1_relset_1(X3,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(c_0_22,plain,
! [X1,X2,X3,X4,X5] :
( ( ~ v3_struct_0(X3)
& v2_orders_2(X3)
& v3_orders_2(X3)
& v4_orders_2(X3)
& v3_lattice3(X3)
& v3_waybel_3(X3)
& l1_orders_2(X3)
& v1_funct_1(X4)
& v1_funct_2(X4,k1_waybel22(X2),u1_struct_0(X3))
& m2_relset_1(X4,k1_waybel22(X2),u1_struct_0(X3))
& m1_subset_1(X5,k1_zfmisc_1(X2)) )
=> ( r2_hidden(X1,a_4_1_waybel22(X2,X3,X4,X5))
<=> ? [X6] :
( m1_subset_1(X6,u1_struct_0(k3_yellow_1(X2)))
& X1 = k1_funct_1(X4,k7_waybel_0(k3_yellow_1(X2),X6))
& ? [X7] :
( m1_subset_1(X7,X2)
& X6 = k1_tarski(X7)
& r2_hidden(X7,X5) ) ) ) ),
inference(fof_simplification,[status(thm)],[fraenkel_a_4_1_waybel22]) ).
fof(c_0_23,plain,
! [X395] :
( m1_subset_1(esk31_1(X395),k1_zfmisc_1(X395))
& v1_xboole_0(esk31_1(X395)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc2_subset_1])]) ).
fof(c_0_24,plain,
! [X419] : k4_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X419)))) = k1_zfmisc_1(X419),
inference(variable_rename,[status(thm)],[t15_waybel16]) ).
fof(c_0_25,plain,
! [X444] :
( ~ v1_xboole_0(X444)
| X444 = k1_xboole_0 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])]) ).
fof(c_0_26,plain,
! [X1] :
( X1 = k1_xboole_0
<=> ! [X2] : ~ r2_hidden(X2,X1) ),
inference(fof_simplification,[status(thm)],[d1_xboole_0]) ).
fof(c_0_27,plain,
! [X367,X368,X369,X370,X371,X374,X375] :
( ( m1_subset_1(esk16_5(X367,X368,X369,X370,X371),u1_struct_0(k3_yellow_1(X368)))
| ~ r2_hidden(X367,a_4_1_waybel22(X368,X369,X370,X371))
| v3_struct_0(X369)
| ~ v2_orders_2(X369)
| ~ v3_orders_2(X369)
| ~ v4_orders_2(X369)
| ~ v3_lattice3(X369)
| ~ v3_waybel_3(X369)
| ~ l1_orders_2(X369)
| ~ v1_funct_1(X370)
| ~ v1_funct_2(X370,k1_waybel22(X368),u1_struct_0(X369))
| ~ m2_relset_1(X370,k1_waybel22(X368),u1_struct_0(X369))
| ~ m1_subset_1(X371,k1_zfmisc_1(X368)) )
& ( X367 = k1_funct_1(X370,k7_waybel_0(k3_yellow_1(X368),esk16_5(X367,X368,X369,X370,X371)))
| ~ r2_hidden(X367,a_4_1_waybel22(X368,X369,X370,X371))
| v3_struct_0(X369)
| ~ v2_orders_2(X369)
| ~ v3_orders_2(X369)
| ~ v4_orders_2(X369)
| ~ v3_lattice3(X369)
| ~ v3_waybel_3(X369)
| ~ l1_orders_2(X369)
| ~ v1_funct_1(X370)
| ~ v1_funct_2(X370,k1_waybel22(X368),u1_struct_0(X369))
| ~ m2_relset_1(X370,k1_waybel22(X368),u1_struct_0(X369))
| ~ m1_subset_1(X371,k1_zfmisc_1(X368)) )
& ( m1_subset_1(esk17_5(X367,X368,X369,X370,X371),X368)
| ~ r2_hidden(X367,a_4_1_waybel22(X368,X369,X370,X371))
| v3_struct_0(X369)
| ~ v2_orders_2(X369)
| ~ v3_orders_2(X369)
| ~ v4_orders_2(X369)
| ~ v3_lattice3(X369)
| ~ v3_waybel_3(X369)
| ~ l1_orders_2(X369)
| ~ v1_funct_1(X370)
| ~ v1_funct_2(X370,k1_waybel22(X368),u1_struct_0(X369))
| ~ m2_relset_1(X370,k1_waybel22(X368),u1_struct_0(X369))
| ~ m1_subset_1(X371,k1_zfmisc_1(X368)) )
& ( esk16_5(X367,X368,X369,X370,X371) = k1_tarski(esk17_5(X367,X368,X369,X370,X371))
| ~ r2_hidden(X367,a_4_1_waybel22(X368,X369,X370,X371))
| v3_struct_0(X369)
| ~ v2_orders_2(X369)
| ~ v3_orders_2(X369)
| ~ v4_orders_2(X369)
| ~ v3_lattice3(X369)
| ~ v3_waybel_3(X369)
| ~ l1_orders_2(X369)
| ~ v1_funct_1(X370)
| ~ v1_funct_2(X370,k1_waybel22(X368),u1_struct_0(X369))
| ~ m2_relset_1(X370,k1_waybel22(X368),u1_struct_0(X369))
| ~ m1_subset_1(X371,k1_zfmisc_1(X368)) )
& ( r2_hidden(esk17_5(X367,X368,X369,X370,X371),X371)
| ~ r2_hidden(X367,a_4_1_waybel22(X368,X369,X370,X371))
| v3_struct_0(X369)
| ~ v2_orders_2(X369)
| ~ v3_orders_2(X369)
| ~ v4_orders_2(X369)
| ~ v3_lattice3(X369)
| ~ v3_waybel_3(X369)
| ~ l1_orders_2(X369)
| ~ v1_funct_1(X370)
| ~ v1_funct_2(X370,k1_waybel22(X368),u1_struct_0(X369))
| ~ m2_relset_1(X370,k1_waybel22(X368),u1_struct_0(X369))
| ~ m1_subset_1(X371,k1_zfmisc_1(X368)) )
& ( ~ m1_subset_1(X374,u1_struct_0(k3_yellow_1(X368)))
| X367 != k1_funct_1(X370,k7_waybel_0(k3_yellow_1(X368),X374))
| ~ m1_subset_1(X375,X368)
| X374 != k1_tarski(X375)
| ~ r2_hidden(X375,X371)
| r2_hidden(X367,a_4_1_waybel22(X368,X369,X370,X371))
| v3_struct_0(X369)
| ~ v2_orders_2(X369)
| ~ v3_orders_2(X369)
| ~ v4_orders_2(X369)
| ~ v3_lattice3(X369)
| ~ v3_waybel_3(X369)
| ~ l1_orders_2(X369)
| ~ v1_funct_1(X370)
| ~ v1_funct_2(X370,k1_waybel22(X368),u1_struct_0(X369))
| ~ m2_relset_1(X370,k1_waybel22(X368),u1_struct_0(X369))
| ~ m1_subset_1(X371,k1_zfmisc_1(X368)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])])])]) ).
cnf(c_0_28,plain,
m1_subset_1(esk31_1(X1),k1_zfmisc_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_29,plain,
k4_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1)))) = k1_zfmisc_1(X1),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_30,plain,
( X1 = k1_xboole_0
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_31,plain,
v1_xboole_0(esk31_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_32,plain,
! [X262,X263,X264] :
( ( X262 != k1_xboole_0
| ~ r2_hidden(X263,X262) )
& ( r2_hidden(esk4_1(X264),X264)
| X264 = k1_xboole_0 ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])])])]) ).
fof(c_0_33,plain,
! [X1,X2,X3,X4,X5] :
( ( ~ v3_struct_0(X3)
& v2_orders_2(X3)
& v3_orders_2(X3)
& v4_orders_2(X3)
& v3_lattice3(X3)
& v3_waybel_3(X3)
& l1_orders_2(X3)
& v1_funct_1(X4)
& v1_funct_2(X4,k1_waybel22(X2),u1_struct_0(X3))
& m2_relset_1(X4,k1_waybel22(X2),u1_struct_0(X3))
& m1_subset_1(X5,u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))) )
=> ( r2_hidden(X1,a_4_0_waybel22(X2,X3,X4,X5))
<=> ? [X6] :
( m1_subset_1(X6,k1_zfmisc_1(X2))
& X1 = k2_yellow_0(X3,a_4_1_waybel22(X2,X3,X4,X6))
& r2_hidden(X6,X5) ) ) ),
inference(fof_simplification,[status(thm)],[fraenkel_a_4_0_waybel22]) ).
cnf(c_0_34,plain,
( r2_hidden(esk17_5(X1,X2,X3,X4,X5),X5)
| v3_struct_0(X3)
| ~ r2_hidden(X1,a_4_1_waybel22(X2,X3,X4,X5))
| ~ v2_orders_2(X3)
| ~ v3_orders_2(X3)
| ~ v4_orders_2(X3)
| ~ v3_lattice3(X3)
| ~ v3_waybel_3(X3)
| ~ l1_orders_2(X3)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,k1_waybel22(X2),u1_struct_0(X3))
| ~ m2_relset_1(X4,k1_waybel22(X2),u1_struct_0(X3))
| ~ m1_subset_1(X5,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_35,plain,
m1_subset_1(esk31_1(X1),k4_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))),
inference(rw,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_36,plain,
esk31_1(X1) = k1_xboole_0,
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_37,plain,
( X1 != k1_xboole_0
| ~ r2_hidden(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_38,plain,
! [X424,X425] :
( ( ~ r2_hidden(esk37_2(X424,X425),X424)
| ~ r2_hidden(esk37_2(X424,X425),X425)
| X424 = X425 )
& ( r2_hidden(esk37_2(X424,X425),X424)
| r2_hidden(esk37_2(X424,X425),X425)
| X424 = X425 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_tarski])])])]) ).
fof(c_0_39,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v4_orders_2(X1)
& v3_lattice3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( X2 = k1_yellow_0(X1,X3)
<=> ( r2_lattice3(X1,X3,X2)
& ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( r2_lattice3(X1,X3,X4)
=> r1_orders_2(X1,X2,X4) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t32_yellow_0]) ).
fof(c_0_40,plain,
! [X360,X361,X362,X363,X364,X366] :
( ( m1_subset_1(esk15_5(X360,X361,X362,X363,X364),k1_zfmisc_1(X361))
| ~ r2_hidden(X360,a_4_0_waybel22(X361,X362,X363,X364))
| v3_struct_0(X362)
| ~ v2_orders_2(X362)
| ~ v3_orders_2(X362)
| ~ v4_orders_2(X362)
| ~ v3_lattice3(X362)
| ~ v3_waybel_3(X362)
| ~ l1_orders_2(X362)
| ~ v1_funct_1(X363)
| ~ v1_funct_2(X363,k1_waybel22(X361),u1_struct_0(X362))
| ~ m2_relset_1(X363,k1_waybel22(X361),u1_struct_0(X362))
| ~ m1_subset_1(X364,u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X361))))) )
& ( X360 = k2_yellow_0(X362,a_4_1_waybel22(X361,X362,X363,esk15_5(X360,X361,X362,X363,X364)))
| ~ r2_hidden(X360,a_4_0_waybel22(X361,X362,X363,X364))
| v3_struct_0(X362)
| ~ v2_orders_2(X362)
| ~ v3_orders_2(X362)
| ~ v4_orders_2(X362)
| ~ v3_lattice3(X362)
| ~ v3_waybel_3(X362)
| ~ l1_orders_2(X362)
| ~ v1_funct_1(X363)
| ~ v1_funct_2(X363,k1_waybel22(X361),u1_struct_0(X362))
| ~ m2_relset_1(X363,k1_waybel22(X361),u1_struct_0(X362))
| ~ m1_subset_1(X364,u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X361))))) )
& ( r2_hidden(esk15_5(X360,X361,X362,X363,X364),X364)
| ~ r2_hidden(X360,a_4_0_waybel22(X361,X362,X363,X364))
| v3_struct_0(X362)
| ~ v2_orders_2(X362)
| ~ v3_orders_2(X362)
| ~ v4_orders_2(X362)
| ~ v3_lattice3(X362)
| ~ v3_waybel_3(X362)
| ~ l1_orders_2(X362)
| ~ v1_funct_1(X363)
| ~ v1_funct_2(X363,k1_waybel22(X361),u1_struct_0(X362))
| ~ m2_relset_1(X363,k1_waybel22(X361),u1_struct_0(X362))
| ~ m1_subset_1(X364,u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X361))))) )
& ( ~ m1_subset_1(X366,k1_zfmisc_1(X361))
| X360 != k2_yellow_0(X362,a_4_1_waybel22(X361,X362,X363,X366))
| ~ r2_hidden(X366,X364)
| r2_hidden(X360,a_4_0_waybel22(X361,X362,X363,X364))
| v3_struct_0(X362)
| ~ v2_orders_2(X362)
| ~ v3_orders_2(X362)
| ~ v4_orders_2(X362)
| ~ v3_lattice3(X362)
| ~ v3_waybel_3(X362)
| ~ l1_orders_2(X362)
| ~ v1_funct_1(X363)
| ~ v1_funct_2(X363,k1_waybel22(X361),u1_struct_0(X362))
| ~ m2_relset_1(X363,k1_waybel22(X361),u1_struct_0(X362))
| ~ m1_subset_1(X364,u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X361))))) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])])])]) ).
cnf(c_0_41,plain,
( v3_struct_0(X3)
| r2_hidden(esk17_5(X1,X2,X3,X4,X5),X5)
| ~ v2_orders_2(X3)
| ~ v3_orders_2(X3)
| ~ v4_orders_2(X3)
| ~ v3_lattice3(X3)
| ~ v3_waybel_3(X3)
| ~ l1_orders_2(X3)
| ~ v1_funct_1(X4)
| ~ r2_hidden(X1,a_4_1_waybel22(X2,X3,X4,X5))
| ~ v1_funct_2(X4,k1_waybel22(X2),u1_struct_0(X3))
| ~ m2_relset_1(X4,k1_waybel22(X2),u1_struct_0(X3))
| ~ m1_subset_1(X5,k4_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))) ),
inference(rw,[status(thm)],[c_0_34,c_0_29]) ).
cnf(c_0_42,plain,
m1_subset_1(k1_xboole_0,k4_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))),
inference(rw,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_43,plain,
~ r2_hidden(X1,k1_xboole_0),
inference(er,[status(thm)],[c_0_37]) ).
cnf(c_0_44,plain,
( r2_hidden(esk37_2(X1,X2),X1)
| r2_hidden(esk37_2(X1,X2),X2)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
fof(c_0_45,negated_conjecture,
~ ! [X1,X2] :
( ( ~ v3_struct_0(X2)
& v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v3_lattice3(X2)
& v3_waybel_3(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,k1_waybel22(X1),u1_struct_0(X2))
& m2_relset_1(X3,k1_waybel22(X1),u1_struct_0(X2)) )
=> k1_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))),X2,k2_waybel22(X1,X2,X3),k4_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))) = k4_yellow_0(X2) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t13_waybel22])]) ).
fof(c_0_46,plain,
! [X428,X429,X430,X431,X432] :
( ( r2_lattice3(X428,X430,X429)
| X429 != k1_yellow_0(X428,X430)
| ~ m1_subset_1(X429,u1_struct_0(X428))
| v3_struct_0(X428)
| ~ v4_orders_2(X428)
| ~ v3_lattice3(X428)
| ~ l1_orders_2(X428) )
& ( ~ m1_subset_1(X431,u1_struct_0(X428))
| ~ r2_lattice3(X428,X430,X431)
| r1_orders_2(X428,X429,X431)
| X429 != k1_yellow_0(X428,X430)
| ~ m1_subset_1(X429,u1_struct_0(X428))
| v3_struct_0(X428)
| ~ v4_orders_2(X428)
| ~ v3_lattice3(X428)
| ~ l1_orders_2(X428) )
& ( m1_subset_1(esk38_3(X428,X429,X432),u1_struct_0(X428))
| ~ r2_lattice3(X428,X432,X429)
| X429 = k1_yellow_0(X428,X432)
| ~ m1_subset_1(X429,u1_struct_0(X428))
| v3_struct_0(X428)
| ~ v4_orders_2(X428)
| ~ v3_lattice3(X428)
| ~ l1_orders_2(X428) )
& ( r2_lattice3(X428,X432,esk38_3(X428,X429,X432))
| ~ r2_lattice3(X428,X432,X429)
| X429 = k1_yellow_0(X428,X432)
| ~ m1_subset_1(X429,u1_struct_0(X428))
| v3_struct_0(X428)
| ~ v4_orders_2(X428)
| ~ v3_lattice3(X428)
| ~ l1_orders_2(X428) )
& ( ~ r1_orders_2(X428,X429,esk38_3(X428,X429,X432))
| ~ r2_lattice3(X428,X432,X429)
| X429 = k1_yellow_0(X428,X432)
| ~ m1_subset_1(X429,u1_struct_0(X428))
| v3_struct_0(X428)
| ~ v4_orders_2(X428)
| ~ v3_lattice3(X428)
| ~ l1_orders_2(X428) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])])])])]) ).
fof(c_0_47,plain,
! [X288,X289] :
( ~ l1_orders_2(X288)
| m1_subset_1(k1_yellow_0(X288,X289),u1_struct_0(X288)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_yellow_0])]) ).
fof(c_0_48,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]) ).
cnf(c_0_49,plain,
( r2_hidden(X3,a_4_0_waybel22(X2,X4,X5,X6))
| v3_struct_0(X4)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| X3 != k2_yellow_0(X4,a_4_1_waybel22(X2,X4,X5,X1))
| ~ r2_hidden(X1,X6)
| ~ v2_orders_2(X4)
| ~ v3_orders_2(X4)
| ~ v4_orders_2(X4)
| ~ v3_lattice3(X4)
| ~ v3_waybel_3(X4)
| ~ l1_orders_2(X4)
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,k1_waybel22(X2),u1_struct_0(X4))
| ~ m2_relset_1(X5,k1_waybel22(X2),u1_struct_0(X4))
| ~ m1_subset_1(X6,u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_50,plain,
( v3_struct_0(X1)
| ~ r2_hidden(X2,a_4_1_waybel22(X3,X1,X4,k1_xboole_0))
| ~ m2_relset_1(X4,k1_waybel22(X3),u1_struct_0(X1))
| ~ v1_funct_2(X4,k1_waybel22(X3),u1_struct_0(X1))
| ~ v1_funct_1(X4)
| ~ l1_orders_2(X1)
| ~ v3_waybel_3(X1)
| ~ v3_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]) ).
cnf(c_0_51,plain,
( k1_xboole_0 = X1
| r2_hidden(esk37_2(k1_xboole_0,X1),X1) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
fof(c_0_52,negated_conjecture,
( ~ v3_struct_0(esk2_0)
& v2_orders_2(esk2_0)
& v3_orders_2(esk2_0)
& v4_orders_2(esk2_0)
& v3_lattice3(esk2_0)
& v3_waybel_3(esk2_0)
& l1_orders_2(esk2_0)
& v1_funct_1(esk3_0)
& v1_funct_2(esk3_0,k1_waybel22(esk1_0),u1_struct_0(esk2_0))
& m2_relset_1(esk3_0,k1_waybel22(esk1_0),u1_struct_0(esk2_0))
& k1_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk1_0))),esk2_0,k2_waybel22(esk1_0,esk2_0,esk3_0),k4_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk1_0))))) != k4_yellow_0(esk2_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])])]) ).
fof(c_0_53,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X2)
& v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v3_lattice3(X2)
& v3_waybel_3(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,k1_waybel22(X1),u1_struct_0(X2))
& m2_relset_1(X3,k1_waybel22(X1),u1_struct_0(X2)) )
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1)))),u1_struct_0(X2))
& m2_relset_1(X4,u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1)))),u1_struct_0(X2)) )
=> ( X4 = k2_waybel22(X1,X2,X3)
<=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1)))))
=> k1_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))),X2,X4,X5) = k1_yellow_0(X2,a_4_0_waybel22(X1,X2,X3,X5)) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[d3_waybel22]) ).
fof(c_0_54,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v4_orders_2(X1)
& v2_yellow_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ( r1_orders_2(X1,k4_yellow_0(X1),X2)
=> X2 = k4_yellow_0(X1) ) ) ),
inference(fof_simplification,[status(thm)],[t5_waybel15]) ).
fof(c_0_55,plain,
! [X274,X275,X276,X277] :
( ( ~ r2_lattice3(X274,X275,X276)
| ~ m1_subset_1(X277,u1_struct_0(X274))
| ~ r2_hidden(X277,X275)
| r1_orders_2(X274,X277,X276)
| ~ m1_subset_1(X276,u1_struct_0(X274))
| ~ l1_orders_2(X274) )
& ( m1_subset_1(esk6_3(X274,X275,X276),u1_struct_0(X274))
| r2_lattice3(X274,X275,X276)
| ~ m1_subset_1(X276,u1_struct_0(X274))
| ~ l1_orders_2(X274) )
& ( r2_hidden(esk6_3(X274,X275,X276),X275)
| r2_lattice3(X274,X275,X276)
| ~ m1_subset_1(X276,u1_struct_0(X274))
| ~ l1_orders_2(X274) )
& ( ~ r1_orders_2(X274,esk6_3(X274,X275,X276),X276)
| r2_lattice3(X274,X275,X276)
| ~ m1_subset_1(X276,u1_struct_0(X274))
| ~ l1_orders_2(X274) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d9_lattice3])])])])]) ).
cnf(c_0_56,plain,
( r2_lattice3(X1,X2,X3)
| v3_struct_0(X1)
| X3 != k1_yellow_0(X1,X2)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ v4_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_57,plain,
( m1_subset_1(k1_yellow_0(X1,X2),u1_struct_0(X1))
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
fof(c_0_58,plain,
! [X255] :
( ( v1_yellow_0(X255)
| ~ v3_yellow_0(X255)
| ~ l1_orders_2(X255) )
& ( v2_yellow_0(X255)
| ~ v3_yellow_0(X255)
| ~ l1_orders_2(X255) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc4_yellow_0])])]) ).
fof(c_0_59,plain,
! [X252] :
( ( ~ v3_struct_0(X252)
| v3_struct_0(X252)
| ~ v3_lattice3(X252)
| ~ l1_orders_2(X252) )
& ( v3_yellow_0(X252)
| v3_struct_0(X252)
| ~ v3_lattice3(X252)
| ~ l1_orders_2(X252) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_48])])]) ).
cnf(c_0_60,plain,
( v3_struct_0(X4)
| r2_hidden(X3,a_4_0_waybel22(X2,X4,X5,X6))
| X3 != k2_yellow_0(X4,a_4_1_waybel22(X2,X4,X5,X1))
| ~ v2_orders_2(X4)
| ~ v3_orders_2(X4)
| ~ v4_orders_2(X4)
| ~ v3_lattice3(X4)
| ~ v3_waybel_3(X4)
| ~ l1_orders_2(X4)
| ~ v1_funct_1(X5)
| ~ r2_hidden(X1,X6)
| ~ v1_funct_2(X5,k1_waybel22(X2),u1_struct_0(X4))
| ~ m2_relset_1(X5,k1_waybel22(X2),u1_struct_0(X4))
| ~ m1_subset_1(X6,u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2)))))
| ~ m1_subset_1(X1,k4_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))) ),
inference(rw,[status(thm)],[c_0_49,c_0_29]) ).
cnf(c_0_61,plain,
( a_4_1_waybel22(X1,X2,X3,k1_xboole_0) = k1_xboole_0
| v3_struct_0(X2)
| ~ m2_relset_1(X3,k1_waybel22(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,k1_waybel22(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ~ l1_orders_2(X2)
| ~ v3_waybel_3(X2)
| ~ v3_lattice3(X2)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X2) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_62,negated_conjecture,
v1_funct_2(esk3_0,k1_waybel22(esk1_0),u1_struct_0(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_63,negated_conjecture,
m2_relset_1(esk3_0,k1_waybel22(esk1_0),u1_struct_0(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_64,negated_conjecture,
v1_funct_1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_65,negated_conjecture,
l1_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_66,negated_conjecture,
v3_waybel_3(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_67,negated_conjecture,
v3_lattice3(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_68,negated_conjecture,
v4_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_69,negated_conjecture,
v3_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_70,negated_conjecture,
v2_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_71,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
fof(c_0_72,plain,
! [X1] : ~ v1_xboole_0(k1_zfmisc_1(X1)),
inference(fof_simplification,[status(thm)],[fc1_subset_1]) ).
fof(c_0_73,plain,
! [X268,X269,X270,X271,X272] :
( ( X271 != k2_waybel22(X268,X269,X270)
| ~ m1_subset_1(X272,u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X268)))))
| k1_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X268))),X269,X271,X272) = k1_yellow_0(X269,a_4_0_waybel22(X268,X269,X270,X272))
| ~ v1_funct_1(X271)
| ~ v1_funct_2(X271,u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X268)))),u1_struct_0(X269))
| ~ m2_relset_1(X271,u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X268)))),u1_struct_0(X269))
| ~ v1_funct_1(X270)
| ~ v1_funct_2(X270,k1_waybel22(X268),u1_struct_0(X269))
| ~ m2_relset_1(X270,k1_waybel22(X268),u1_struct_0(X269))
| v3_struct_0(X269)
| ~ v2_orders_2(X269)
| ~ v3_orders_2(X269)
| ~ v4_orders_2(X269)
| ~ v3_lattice3(X269)
| ~ v3_waybel_3(X269)
| ~ l1_orders_2(X269) )
& ( m1_subset_1(esk5_4(X268,X269,X270,X271),u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X268)))))
| X271 = k2_waybel22(X268,X269,X270)
| ~ v1_funct_1(X271)
| ~ v1_funct_2(X271,u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X268)))),u1_struct_0(X269))
| ~ m2_relset_1(X271,u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X268)))),u1_struct_0(X269))
| ~ v1_funct_1(X270)
| ~ v1_funct_2(X270,k1_waybel22(X268),u1_struct_0(X269))
| ~ m2_relset_1(X270,k1_waybel22(X268),u1_struct_0(X269))
| v3_struct_0(X269)
| ~ v2_orders_2(X269)
| ~ v3_orders_2(X269)
| ~ v4_orders_2(X269)
| ~ v3_lattice3(X269)
| ~ v3_waybel_3(X269)
| ~ l1_orders_2(X269) )
& ( k1_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X268))),X269,X271,esk5_4(X268,X269,X270,X271)) != k1_yellow_0(X269,a_4_0_waybel22(X268,X269,X270,esk5_4(X268,X269,X270,X271)))
| X271 = k2_waybel22(X268,X269,X270)
| ~ v1_funct_1(X271)
| ~ v1_funct_2(X271,u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X268)))),u1_struct_0(X269))
| ~ m2_relset_1(X271,u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X268)))),u1_struct_0(X269))
| ~ v1_funct_1(X270)
| ~ v1_funct_2(X270,k1_waybel22(X268),u1_struct_0(X269))
| ~ m2_relset_1(X270,k1_waybel22(X268),u1_struct_0(X269))
| v3_struct_0(X269)
| ~ v2_orders_2(X269)
| ~ v3_orders_2(X269)
| ~ v4_orders_2(X269)
| ~ v3_lattice3(X269)
| ~ v3_waybel_3(X269)
| ~ l1_orders_2(X269) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_53])])])])]) ).
fof(c_0_74,plain,
! [X442,X443] :
( v3_struct_0(X442)
| ~ v4_orders_2(X442)
| ~ v2_yellow_0(X442)
| ~ l1_orders_2(X442)
| ~ m1_subset_1(X443,u1_struct_0(X442))
| ~ r1_orders_2(X442,k4_yellow_0(X442),X443)
| X443 = k4_yellow_0(X442) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_54])])]) ).
cnf(c_0_75,plain,
( r1_orders_2(X1,X4,X3)
| ~ r2_lattice3(X1,X2,X3)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ r2_hidden(X4,X2)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_76,plain,
( r2_lattice3(X1,X2,k1_yellow_0(X1,X2))
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ v4_orders_2(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_56]),c_0_57]) ).
cnf(c_0_77,plain,
( v2_yellow_0(X1)
| ~ v3_yellow_0(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_78,plain,
( v3_yellow_0(X1)
| v3_struct_0(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
fof(c_0_79,plain,
! [X297] :
( ~ l1_orders_2(X297)
| m1_subset_1(k4_yellow_0(X297),u1_struct_0(X297)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k4_yellow_0])]) ).
cnf(c_0_80,plain,
( r2_hidden(k2_yellow_0(X1,a_4_1_waybel22(X2,X1,X3,X4)),a_4_0_waybel22(X2,X1,X3,X5))
| v3_struct_0(X1)
| ~ m1_subset_1(X5,u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2)))))
| ~ m1_subset_1(X4,k4_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2)))))
| ~ r2_hidden(X4,X5)
| ~ m2_relset_1(X3,k1_waybel22(X2),u1_struct_0(X1))
| ~ v1_funct_2(X3,k1_waybel22(X2),u1_struct_0(X1))
| ~ v1_funct_1(X3)
| ~ l1_orders_2(X1)
| ~ v3_waybel_3(X1)
| ~ v3_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) ),
inference(er,[status(thm)],[c_0_60]) ).
cnf(c_0_81,negated_conjecture,
a_4_1_waybel22(esk1_0,esk2_0,esk3_0,k1_xboole_0) = k1_xboole_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63]),c_0_64]),c_0_65]),c_0_66]),c_0_67]),c_0_68]),c_0_69]),c_0_70])]),c_0_71]) ).
fof(c_0_82,plain,
! [X259] :
( ~ l1_orders_2(X259)
| k4_yellow_0(X259) = k2_yellow_0(X259,k1_xboole_0) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d12_yellow_0])]) ).
fof(c_0_83,plain,
! [X330] : ~ v1_xboole_0(k1_zfmisc_1(X330)),
inference(variable_rename,[status(thm)],[c_0_72]) ).
cnf(c_0_84,plain,
( k1_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))),X3,X1,X5) = k1_yellow_0(X3,a_4_0_waybel22(X2,X3,X4,X5))
| v3_struct_0(X3)
| X1 != k2_waybel22(X2,X3,X4)
| ~ m1_subset_1(X5,u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2)))))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2)))),u1_struct_0(X3))
| ~ m2_relset_1(X1,u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2)))),u1_struct_0(X3))
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,k1_waybel22(X2),u1_struct_0(X3))
| ~ m2_relset_1(X4,k1_waybel22(X2),u1_struct_0(X3))
| ~ v2_orders_2(X3)
| ~ v3_orders_2(X3)
| ~ v4_orders_2(X3)
| ~ v3_lattice3(X3)
| ~ v3_waybel_3(X3)
| ~ l1_orders_2(X3) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_85,plain,
( v3_struct_0(X1)
| X2 = k4_yellow_0(X1)
| ~ v4_orders_2(X1)
| ~ v2_yellow_0(X1)
| ~ l1_orders_2(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ r1_orders_2(X1,k4_yellow_0(X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_86,plain,
( r1_orders_2(X1,X2,k1_yellow_0(X1,X3))
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ r2_hidden(X2,X3)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ v4_orders_2(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_57]) ).
cnf(c_0_87,plain,
( v2_yellow_0(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X1) ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_88,plain,
( m1_subset_1(k4_yellow_0(X1),u1_struct_0(X1))
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_89,negated_conjecture,
( r2_hidden(k2_yellow_0(esk2_0,k1_xboole_0),a_4_0_waybel22(esk1_0,esk2_0,esk3_0,X1))
| ~ m1_subset_1(X1,u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk1_0)))))
| ~ r2_hidden(k1_xboole_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(spm,[status(thm)],[c_0_80,c_0_81]),c_0_42]),c_0_63]),c_0_62]),c_0_64]),c_0_65]),c_0_66]),c_0_67]),c_0_68]),c_0_69]),c_0_70])]),c_0_71]) ).
cnf(c_0_90,plain,
( k4_yellow_0(X1) = k2_yellow_0(X1,k1_xboole_0)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
fof(c_0_91,plain,
! [X422,X423] :
( ~ m1_subset_1(X422,X423)
| v1_xboole_0(X423)
| r2_hidden(X422,X423) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
cnf(c_0_92,plain,
~ v1_xboole_0(k1_zfmisc_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_93,negated_conjecture,
k1_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk1_0))),esk2_0,k2_waybel22(esk1_0,esk2_0,esk3_0),k4_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk1_0))))) != k4_yellow_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_94,plain,
( k1_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))),X2,k2_waybel22(X1,X2,X3),X4) = k1_yellow_0(X2,a_4_0_waybel22(X1,X2,X3,X4))
| v3_struct_0(X2)
| ~ m1_subset_1(X4,u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1)))))
| ~ m2_relset_1(k2_waybel22(X1,X2,X3),u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1)))),u1_struct_0(X2))
| ~ m2_relset_1(X3,k1_waybel22(X1),u1_struct_0(X2))
| ~ v1_funct_2(k2_waybel22(X1,X2,X3),u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1)))),u1_struct_0(X2))
| ~ v1_funct_2(X3,k1_waybel22(X1),u1_struct_0(X2))
| ~ v1_funct_1(k2_waybel22(X1,X2,X3))
| ~ v1_funct_1(X3)
| ~ l1_orders_2(X2)
| ~ v3_waybel_3(X2)
| ~ v3_lattice3(X2)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X2) ),
inference(er,[status(thm)],[c_0_84]) ).
cnf(c_0_95,plain,
( k1_yellow_0(X1,X2) = k4_yellow_0(X1)
| v3_struct_0(X1)
| ~ r2_hidden(k4_yellow_0(X1),X2)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ v4_orders_2(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_87]),c_0_88]),c_0_57]) ).
cnf(c_0_96,negated_conjecture,
( r2_hidden(k4_yellow_0(esk2_0),a_4_0_waybel22(esk1_0,esk2_0,esk3_0,X1))
| ~ m1_subset_1(X1,u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk1_0)))))
| ~ r2_hidden(k1_xboole_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_65])]) ).
cnf(c_0_97,plain,
( v1_xboole_0(X2)
| r2_hidden(X1,X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_98,plain,
~ v1_xboole_0(k4_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))),
inference(rw,[status(thm)],[c_0_92,c_0_29]) ).
cnf(c_0_99,negated_conjecture,
( k1_yellow_0(esk2_0,a_4_0_waybel22(esk1_0,esk2_0,esk3_0,k4_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk1_0)))))) != k4_yellow_0(esk2_0)
| ~ m1_subset_1(k4_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk1_0)))),u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk1_0)))))
| ~ m2_relset_1(k2_waybel22(esk1_0,esk2_0,esk3_0),u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk1_0)))),u1_struct_0(esk2_0))
| ~ v1_funct_2(k2_waybel22(esk1_0,esk2_0,esk3_0),u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk1_0)))),u1_struct_0(esk2_0))
| ~ v1_funct_1(k2_waybel22(esk1_0,esk2_0,esk3_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_63]),c_0_62]),c_0_64]),c_0_65]),c_0_66]),c_0_67]),c_0_68]),c_0_69]),c_0_70])]),c_0_71]) ).
cnf(c_0_100,negated_conjecture,
( k1_yellow_0(esk2_0,a_4_0_waybel22(esk1_0,esk2_0,esk3_0,X1)) = k4_yellow_0(esk2_0)
| ~ m1_subset_1(X1,u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk1_0)))))
| ~ r2_hidden(k1_xboole_0,X1) ),
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_95,c_0_96]),c_0_65]),c_0_67]),c_0_68])]),c_0_71]) ).
cnf(c_0_101,plain,
r2_hidden(k1_xboole_0,k4_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_42]),c_0_98]) ).
fof(c_0_102,plain,
! [X295] :
( v1_orders_2(k2_yellow_1(X295))
& l1_orders_2(k2_yellow_1(X295)) ),
inference(variable_rename,[status(thm)],[dt_k2_yellow_1]) ).
fof(c_0_103,plain,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X2)
& v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v3_lattice3(X2)
& v3_waybel_3(X2)
& l1_orders_2(X2)
& v1_funct_1(X3)
& v1_funct_2(X3,k1_waybel22(X1),u1_struct_0(X2))
& m1_relset_1(X3,k1_waybel22(X1),u1_struct_0(X2)) )
=> ( v1_funct_1(k2_waybel22(X1,X2,X3))
& v1_funct_2(k2_waybel22(X1,X2,X3),u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1)))),u1_struct_0(X2))
& m2_relset_1(k2_waybel22(X1,X2,X3),u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1)))),u1_struct_0(X2)) ) ),
inference(fof_simplification,[status(thm)],[dt_k2_waybel22]) ).
cnf(c_0_104,negated_conjecture,
( ~ m1_subset_1(k4_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk1_0)))),u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk1_0)))))
| ~ m2_relset_1(k2_waybel22(esk1_0,esk2_0,esk3_0),u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk1_0)))),u1_struct_0(esk2_0))
| ~ v1_funct_2(k2_waybel22(esk1_0,esk2_0,esk3_0),u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk1_0)))),u1_struct_0(esk2_0))
| ~ v1_funct_1(k2_waybel22(esk1_0,esk2_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_101])]) ).
cnf(c_0_105,plain,
l1_orders_2(k2_yellow_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
fof(c_0_106,plain,
! [X290,X291,X292] :
( ( v1_funct_1(k2_waybel22(X290,X291,X292))
| v3_struct_0(X291)
| ~ v2_orders_2(X291)
| ~ v3_orders_2(X291)
| ~ v4_orders_2(X291)
| ~ v3_lattice3(X291)
| ~ v3_waybel_3(X291)
| ~ l1_orders_2(X291)
| ~ v1_funct_1(X292)
| ~ v1_funct_2(X292,k1_waybel22(X290),u1_struct_0(X291))
| ~ m1_relset_1(X292,k1_waybel22(X290),u1_struct_0(X291)) )
& ( v1_funct_2(k2_waybel22(X290,X291,X292),u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X290)))),u1_struct_0(X291))
| v3_struct_0(X291)
| ~ v2_orders_2(X291)
| ~ v3_orders_2(X291)
| ~ v4_orders_2(X291)
| ~ v3_lattice3(X291)
| ~ v3_waybel_3(X291)
| ~ l1_orders_2(X291)
| ~ v1_funct_1(X292)
| ~ v1_funct_2(X292,k1_waybel22(X290),u1_struct_0(X291))
| ~ m1_relset_1(X292,k1_waybel22(X290),u1_struct_0(X291)) )
& ( m2_relset_1(k2_waybel22(X290,X291,X292),u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X290)))),u1_struct_0(X291))
| v3_struct_0(X291)
| ~ v2_orders_2(X291)
| ~ v3_orders_2(X291)
| ~ v4_orders_2(X291)
| ~ v3_lattice3(X291)
| ~ v3_waybel_3(X291)
| ~ l1_orders_2(X291)
| ~ v1_funct_1(X292)
| ~ v1_funct_2(X292,k1_waybel22(X290),u1_struct_0(X291))
| ~ m1_relset_1(X292,k1_waybel22(X290),u1_struct_0(X291)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_103])])]) ).
cnf(c_0_107,negated_conjecture,
( ~ m2_relset_1(k2_waybel22(esk1_0,esk2_0,esk3_0),u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk1_0)))),u1_struct_0(esk2_0))
| ~ v1_funct_2(k2_waybel22(esk1_0,esk2_0,esk3_0),u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk1_0)))),u1_struct_0(esk2_0))
| ~ v1_funct_1(k2_waybel22(esk1_0,esk2_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_88]),c_0_105])]) ).
cnf(c_0_108,plain,
( v1_funct_2(k2_waybel22(X1,X2,X3),u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1)))),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v3_lattice3(X2)
| ~ v3_waybel_3(X2)
| ~ l1_orders_2(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k1_waybel22(X1),u1_struct_0(X2))
| ~ m1_relset_1(X3,k1_waybel22(X1),u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_106]) ).
cnf(c_0_109,negated_conjecture,
( ~ m1_relset_1(esk3_0,k1_waybel22(esk1_0),u1_struct_0(esk2_0))
| ~ m2_relset_1(k2_waybel22(esk1_0,esk2_0,esk3_0),u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk1_0)))),u1_struct_0(esk2_0))
| ~ v1_funct_1(k2_waybel22(esk1_0,esk2_0,esk3_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_62]),c_0_64]),c_0_65]),c_0_66]),c_0_67]),c_0_68]),c_0_69]),c_0_70])]),c_0_71]) ).
cnf(c_0_110,plain,
( m2_relset_1(k2_waybel22(X1,X2,X3),u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1)))),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v3_lattice3(X2)
| ~ v3_waybel_3(X2)
| ~ l1_orders_2(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k1_waybel22(X1),u1_struct_0(X2))
| ~ m1_relset_1(X3,k1_waybel22(X1),u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_106]) ).
cnf(c_0_111,negated_conjecture,
( ~ m1_relset_1(esk3_0,k1_waybel22(esk1_0),u1_struct_0(esk2_0))
| ~ v1_funct_1(k2_waybel22(esk1_0,esk2_0,esk3_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_62]),c_0_64]),c_0_65]),c_0_66]),c_0_67]),c_0_68]),c_0_69]),c_0_70])]),c_0_71]) ).
cnf(c_0_112,plain,
( v1_funct_1(k2_waybel22(X1,X2,X3))
| v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v3_lattice3(X2)
| ~ v3_waybel_3(X2)
| ~ l1_orders_2(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k1_waybel22(X1),u1_struct_0(X2))
| ~ m1_relset_1(X3,k1_waybel22(X1),u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_106]) ).
fof(c_0_113,plain,
! [X409,X410,X411] :
( ( ~ m2_relset_1(X411,X409,X410)
| m1_relset_1(X411,X409,X410) )
& ( ~ m1_relset_1(X411,X409,X410)
| m2_relset_1(X411,X409,X410) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).
cnf(c_0_114,negated_conjecture,
~ m1_relset_1(esk3_0,k1_waybel22(esk1_0),u1_struct_0(esk2_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_62]),c_0_64]),c_0_65]),c_0_66]),c_0_67]),c_0_68]),c_0_69]),c_0_70])]),c_0_71]) ).
cnf(c_0_115,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_113]) ).
cnf(c_0_116,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_63])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT350+1 : TPTP v9.2.1. Released v3.4.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.34 % Computer : n013.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Mon May 4 21:31:11 EDT 2026
% 0.15/0.34 % CPUTime :
% 0.15/0.35 % start to proof: theBenchmark
% 239.96/174.84 % Version : CSE_E---1.7
% 239.96/174.84 % Problem : theBenchmark.p
% 239.96/174.84 % SZS status Theorem for theBenchmark.p
% 239.96/174.84 % SZS output start CNFRefutation
% See solution above
% 240.86/175.78 % Total time : 112.056s
%------------------------------------------------------------------------------