%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LAT374+3 : 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 : n009.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 04:38:23 PM UTC 2026
% Result : Theorem 48.19s 33.80s
% Output : CNFRefutation 48.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 8
% Syntax : Number of formulae : 76 ( 12 unt; 0 def)
% Number of atoms : 638 ( 48 equ)
% Maximal formula atoms : 227 ( 8 avg)
% Number of connectives : 850 ( 288 ~; 389 |; 115 &)
% ( 11 <=>; 47 =>; 0 <=; 0 <~>)
% Maximal formula depth : 41 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 25 ( 23 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 3 con; 0-4 aty)
% Number of variables : 92 ( 0 sgn 62 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t30_altcat_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l2_altcat_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& m1_altcat_2(X2,X1) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X2))
=> m1_subset_1(X3,u1_struct_0(X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+448.ax',t30_altcat_2) ).
fof(t49_waybel34,conjecture,
! [X1] :
( ~ v2_setfam_1(X1)
=> ! [X2] :
( ( v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v1_lattice3(X2)
& v2_lattice3(X2)
& l1_orders_2(X2) )
=> ( m1_subset_1(X2,u1_struct_0(k9_waybel34(X1)))
<=> ( v1_orders_2(X2)
& v3_lattice3(X2)
& r2_hidden(u1_struct_0(X2),X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t49_waybel34) ).
fof(dt_k9_waybel34,axiom,
! [X1] :
( ~ v2_setfam_1(X1)
=> ( ~ v3_struct_0(k9_waybel34(X1))
& v2_altcat_1(k9_waybel34(X1))
& v6_altcat_1(k9_waybel34(X1))
& v3_altcat_2(k9_waybel34(X1),k5_waybel34(X1))
& m1_altcat_2(k9_waybel34(X1),k5_waybel34(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k9_waybel34) ).
fof(cc2_setfam_1,axiom,
! [X1] :
( ~ v2_setfam_1(X1)
=> ~ v1_xboole_0(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+8.ax',cc2_setfam_1) ).
fof(dt_k5_waybel34,axiom,
! [X1] :
( ~ v1_xboole_0(X1)
=> ( ~ v3_struct_0(k5_waybel34(X1))
& v2_altcat_1(k5_waybel34(X1))
& v6_altcat_1(k5_waybel34(X1))
& v11_altcat_1(k5_waybel34(X1))
& v12_altcat_1(k5_waybel34(X1))
& v2_yellow21(k5_waybel34(X1))
& l2_altcat_1(k5_waybel34(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_waybel34) ).
fof(t15_waybel34,axiom,
! [X1] :
( ~ v2_setfam_1(X1)
=> ! [X2] :
( ( v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v1_lattice3(X2)
& v2_lattice3(X2)
& l1_orders_2(X2) )
=> ( m1_subset_1(X2,u1_struct_0(k5_waybel34(X1)))
<=> ( v1_orders_2(X2)
& v3_lattice3(X2)
& r2_hidden(u1_struct_0(X2),X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t15_waybel34) ).
fof(d11_waybel34,axiom,
! [X1] :
( ~ v2_setfam_1(X1)
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_altcat_1(X2)
& v6_altcat_1(X2)
& v3_altcat_2(X2,k5_waybel34(X1))
& m1_altcat_2(X2,k5_waybel34(X1)) )
=> ( X2 = k9_waybel34(X1)
<=> ( ! [X3] :
( m1_subset_1(X3,u1_struct_0(k5_waybel34(X1)))
=> m1_subset_1(X3,u1_struct_0(X2)) )
& ! [X3] :
( m1_subset_1(X3,u1_struct_0(k5_waybel34(X1)))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(k5_waybel34(X1)))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X2))
=> ! [X6] :
( m1_subset_1(X6,u1_struct_0(X2))
=> ( ( X5 = X3
& X6 = X4 )
=> ( k1_altcat_1(k5_waybel34(X1),X3,X4) = k1_xboole_0
| ! [X7] :
( m1_subset_1(X7,k1_altcat_1(k5_waybel34(X1),X3,X4))
=> ( r2_hidden(X7,k1_altcat_1(X2,X5,X6))
<=> v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X1),X4),k3_yellow21(k5_waybel34(X1),X3),k5_yellow21(k5_waybel34(X1),X3,X4,X7)),k3_yellow21(k5_waybel34(X1),X4),k3_yellow21(k5_waybel34(X1),X3)) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d11_waybel34) ).
fof(c_0_7,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l2_altcat_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& m1_altcat_2(X2,X1) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X2))
=> m1_subset_1(X3,u1_struct_0(X1)) ) ) ),
inference(fof_simplification,[status(thm)],[t30_altcat_2]) ).
fof(c_0_8,negated_conjecture,
~ ! [X1] :
( ~ v2_setfam_1(X1)
=> ! [X2] :
( ( v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v1_lattice3(X2)
& v2_lattice3(X2)
& l1_orders_2(X2) )
=> ( m1_subset_1(X2,u1_struct_0(k9_waybel34(X1)))
<=> ( v1_orders_2(X2)
& v3_lattice3(X2)
& r2_hidden(u1_struct_0(X2),X1) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t49_waybel34])]) ).
fof(c_0_9,plain,
! [X610,X611,X612] :
( v3_struct_0(X610)
| ~ l2_altcat_1(X610)
| v3_struct_0(X611)
| ~ m1_altcat_2(X611,X610)
| ~ m1_subset_1(X612,u1_struct_0(X611))
| m1_subset_1(X612,u1_struct_0(X610)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])]) ).
fof(c_0_10,negated_conjecture,
( ~ v2_setfam_1(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)
& l1_orders_2(esk2_0)
& ( ~ m1_subset_1(esk2_0,u1_struct_0(k9_waybel34(esk1_0)))
| ~ v1_orders_2(esk2_0)
| ~ v3_lattice3(esk2_0)
| ~ r2_hidden(u1_struct_0(esk2_0),esk1_0) )
& ( v1_orders_2(esk2_0)
| m1_subset_1(esk2_0,u1_struct_0(k9_waybel34(esk1_0))) )
& ( v3_lattice3(esk2_0)
| m1_subset_1(esk2_0,u1_struct_0(k9_waybel34(esk1_0))) )
& ( r2_hidden(u1_struct_0(esk2_0),esk1_0)
| m1_subset_1(esk2_0,u1_struct_0(k9_waybel34(esk1_0))) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])]) ).
fof(c_0_11,plain,
! [X1] :
( ~ v2_setfam_1(X1)
=> ( ~ v3_struct_0(k9_waybel34(X1))
& v2_altcat_1(k9_waybel34(X1))
& v6_altcat_1(k9_waybel34(X1))
& v3_altcat_2(k9_waybel34(X1),k5_waybel34(X1))
& m1_altcat_2(k9_waybel34(X1),k5_waybel34(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k9_waybel34]) ).
fof(c_0_12,plain,
! [X1] :
( ~ v2_setfam_1(X1)
=> ~ v1_xboole_0(X1) ),
inference(fof_simplification,[status(thm)],[cc2_setfam_1]) ).
cnf(c_0_13,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| m1_subset_1(X3,u1_struct_0(X1))
| ~ l2_altcat_1(X1)
| ~ m1_altcat_2(X2,X1)
| ~ m1_subset_1(X3,u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,negated_conjecture,
( v1_orders_2(esk2_0)
| m1_subset_1(esk2_0,u1_struct_0(k9_waybel34(esk1_0))) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_15,plain,
! [X546] :
( ( ~ v3_struct_0(k9_waybel34(X546))
| v2_setfam_1(X546) )
& ( v2_altcat_1(k9_waybel34(X546))
| v2_setfam_1(X546) )
& ( v6_altcat_1(k9_waybel34(X546))
| v2_setfam_1(X546) )
& ( v3_altcat_2(k9_waybel34(X546),k5_waybel34(X546))
| v2_setfam_1(X546) )
& ( m1_altcat_2(k9_waybel34(X546),k5_waybel34(X546))
| v2_setfam_1(X546) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])]) ).
fof(c_0_16,plain,
! [X1] :
( ~ v1_xboole_0(X1)
=> ( ~ v3_struct_0(k5_waybel34(X1))
& v2_altcat_1(k5_waybel34(X1))
& v6_altcat_1(k5_waybel34(X1))
& v11_altcat_1(k5_waybel34(X1))
& v12_altcat_1(k5_waybel34(X1))
& v2_yellow21(k5_waybel34(X1))
& l2_altcat_1(k5_waybel34(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k5_waybel34]) ).
fof(c_0_17,plain,
! [X552] :
( v2_setfam_1(X552)
| ~ v1_xboole_0(X552) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])]) ).
cnf(c_0_18,negated_conjecture,
( v3_lattice3(esk2_0)
| m1_subset_1(esk2_0,u1_struct_0(k9_waybel34(esk1_0))) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_19,plain,
! [X1] :
( ~ v2_setfam_1(X1)
=> ! [X2] :
( ( v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v1_lattice3(X2)
& v2_lattice3(X2)
& l1_orders_2(X2) )
=> ( m1_subset_1(X2,u1_struct_0(k5_waybel34(X1)))
<=> ( v1_orders_2(X2)
& v3_lattice3(X2)
& r2_hidden(u1_struct_0(X2),X1) ) ) ) ),
inference(fof_simplification,[status(thm)],[t15_waybel34]) ).
cnf(c_0_20,negated_conjecture,
( v1_orders_2(esk2_0)
| v3_struct_0(k9_waybel34(esk1_0))
| v3_struct_0(X1)
| m1_subset_1(esk2_0,u1_struct_0(X1))
| ~ m1_altcat_2(k9_waybel34(esk1_0),X1)
| ~ l2_altcat_1(X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_21,plain,
( m1_altcat_2(k9_waybel34(X1),k5_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_22,negated_conjecture,
~ v2_setfam_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_23,plain,
! [X630] :
( ( ~ v3_struct_0(k5_waybel34(X630))
| v1_xboole_0(X630) )
& ( v2_altcat_1(k5_waybel34(X630))
| v1_xboole_0(X630) )
& ( v6_altcat_1(k5_waybel34(X630))
| v1_xboole_0(X630) )
& ( v11_altcat_1(k5_waybel34(X630))
| v1_xboole_0(X630) )
& ( v12_altcat_1(k5_waybel34(X630))
| v1_xboole_0(X630) )
& ( v2_yellow21(k5_waybel34(X630))
| v1_xboole_0(X630) )
& ( l2_altcat_1(k5_waybel34(X630))
| v1_xboole_0(X630) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])]) ).
cnf(c_0_24,plain,
( v2_setfam_1(X1)
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_25,negated_conjecture,
( v3_lattice3(esk2_0)
| v3_struct_0(k9_waybel34(esk1_0))
| v3_struct_0(X1)
| m1_subset_1(esk2_0,u1_struct_0(X1))
| ~ m1_altcat_2(k9_waybel34(esk1_0),X1)
| ~ l2_altcat_1(X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_18]) ).
fof(c_0_26,plain,
! [X638,X639] :
( ( v1_orders_2(X639)
| ~ m1_subset_1(X639,u1_struct_0(k5_waybel34(X638)))
| ~ v2_orders_2(X639)
| ~ v3_orders_2(X639)
| ~ v4_orders_2(X639)
| ~ v1_lattice3(X639)
| ~ v2_lattice3(X639)
| ~ l1_orders_2(X639)
| v2_setfam_1(X638) )
& ( v3_lattice3(X639)
| ~ m1_subset_1(X639,u1_struct_0(k5_waybel34(X638)))
| ~ v2_orders_2(X639)
| ~ v3_orders_2(X639)
| ~ v4_orders_2(X639)
| ~ v1_lattice3(X639)
| ~ v2_lattice3(X639)
| ~ l1_orders_2(X639)
| v2_setfam_1(X638) )
& ( r2_hidden(u1_struct_0(X639),X638)
| ~ m1_subset_1(X639,u1_struct_0(k5_waybel34(X638)))
| ~ v2_orders_2(X639)
| ~ v3_orders_2(X639)
| ~ v4_orders_2(X639)
| ~ v1_lattice3(X639)
| ~ v2_lattice3(X639)
| ~ l1_orders_2(X639)
| v2_setfam_1(X638) )
& ( ~ v1_orders_2(X639)
| ~ v3_lattice3(X639)
| ~ r2_hidden(u1_struct_0(X639),X638)
| m1_subset_1(X639,u1_struct_0(k5_waybel34(X638)))
| ~ v2_orders_2(X639)
| ~ v3_orders_2(X639)
| ~ v4_orders_2(X639)
| ~ v1_lattice3(X639)
| ~ v2_lattice3(X639)
| ~ l1_orders_2(X639)
| v2_setfam_1(X638) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])]) ).
cnf(c_0_27,negated_conjecture,
( v1_orders_2(esk2_0)
| v3_struct_0(k5_waybel34(esk1_0))
| v3_struct_0(k9_waybel34(esk1_0))
| m1_subset_1(esk2_0,u1_struct_0(k5_waybel34(esk1_0)))
| ~ l2_altcat_1(k5_waybel34(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]) ).
cnf(c_0_28,plain,
( l2_altcat_1(k5_waybel34(X1))
| v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_29,negated_conjecture,
~ v1_xboole_0(esk1_0),
inference(spm,[status(thm)],[c_0_22,c_0_24]) ).
fof(c_0_30,plain,
! [X1] :
( epred1_1(X1)
<=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_altcat_1(X2)
& v6_altcat_1(X2)
& v3_altcat_2(X2,k5_waybel34(X1))
& m1_altcat_2(X2,k5_waybel34(X1)) )
=> ( X2 = k9_waybel34(X1)
<=> ( ! [X3] :
( m1_subset_1(X3,u1_struct_0(k5_waybel34(X1)))
=> m1_subset_1(X3,u1_struct_0(X2)) )
& ! [X3] :
( m1_subset_1(X3,u1_struct_0(k5_waybel34(X1)))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(k5_waybel34(X1)))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X2))
=> ! [X6] :
( m1_subset_1(X6,u1_struct_0(X2))
=> ( ( X5 = X3
& X6 = X4 )
=> ( k1_altcat_1(k5_waybel34(X1),X3,X4) = k1_xboole_0
| ! [X7] :
( m1_subset_1(X7,k1_altcat_1(k5_waybel34(X1),X3,X4))
=> ( r2_hidden(X7,k1_altcat_1(X2,X5,X6))
<=> v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X1),X4),k3_yellow21(k5_waybel34(X1),X3),k5_yellow21(k5_waybel34(X1),X3,X4,X7)),k3_yellow21(k5_waybel34(X1),X4),k3_yellow21(k5_waybel34(X1),X3)) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(definition) ).
cnf(c_0_31,negated_conjecture,
( r2_hidden(u1_struct_0(esk2_0),esk1_0)
| m1_subset_1(esk2_0,u1_struct_0(k9_waybel34(esk1_0))) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_32,negated_conjecture,
( v3_lattice3(esk2_0)
| v3_struct_0(k5_waybel34(esk1_0))
| v3_struct_0(k9_waybel34(esk1_0))
| m1_subset_1(esk2_0,u1_struct_0(k5_waybel34(esk1_0)))
| ~ l2_altcat_1(k5_waybel34(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_21]),c_0_22]) ).
cnf(c_0_33,plain,
( v1_orders_2(X1)
| v2_setfam_1(X2)
| ~ m1_subset_1(X1,u1_struct_0(k5_waybel34(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)],[c_0_26]) ).
cnf(c_0_34,negated_conjecture,
( v1_orders_2(esk2_0)
| v3_struct_0(k9_waybel34(esk1_0))
| v3_struct_0(k5_waybel34(esk1_0))
| m1_subset_1(esk2_0,u1_struct_0(k5_waybel34(esk1_0))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]) ).
cnf(c_0_35,negated_conjecture,
v2_lattice3(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_36,negated_conjecture,
v1_lattice3(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_37,negated_conjecture,
v4_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_38,negated_conjecture,
v3_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_39,negated_conjecture,
v2_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_40,negated_conjecture,
l1_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_41,plain,
! [X1] :
( epred1_1(X1)
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_altcat_1(X2)
& v6_altcat_1(X2)
& v3_altcat_2(X2,k5_waybel34(X1))
& m1_altcat_2(X2,k5_waybel34(X1)) )
=> ( X2 = k9_waybel34(X1)
<=> ( ! [X3] :
( m1_subset_1(X3,u1_struct_0(k5_waybel34(X1)))
=> m1_subset_1(X3,u1_struct_0(X2)) )
& ! [X3] :
( m1_subset_1(X3,u1_struct_0(k5_waybel34(X1)))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(k5_waybel34(X1)))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X2))
=> ! [X6] :
( m1_subset_1(X6,u1_struct_0(X2))
=> ( ( X5 = X3
& X6 = X4 )
=> ( k1_altcat_1(k5_waybel34(X1),X3,X4) = k1_xboole_0
| ! [X7] :
( m1_subset_1(X7,k1_altcat_1(k5_waybel34(X1),X3,X4))
=> ( r2_hidden(X7,k1_altcat_1(X2,X5,X6))
<=> v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X1),X4),k3_yellow21(k5_waybel34(X1),X3),k5_yellow21(k5_waybel34(X1),X3,X4,X7)),k3_yellow21(k5_waybel34(X1),X4),k3_yellow21(k5_waybel34(X1),X3)) ) ) ) ) ) ) ) ) ) ) ) ),
inference(split_equiv,[status(thm)],[c_0_30]) ).
cnf(c_0_42,negated_conjecture,
( v3_struct_0(k9_waybel34(esk1_0))
| v3_struct_0(X1)
| m1_subset_1(esk2_0,u1_struct_0(X1))
| r2_hidden(u1_struct_0(esk2_0),esk1_0)
| ~ m1_altcat_2(k9_waybel34(esk1_0),X1)
| ~ l2_altcat_1(X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_31]) ).
cnf(c_0_43,plain,
( v3_lattice3(X1)
| v2_setfam_1(X2)
| ~ m1_subset_1(X1,u1_struct_0(k5_waybel34(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)],[c_0_26]) ).
cnf(c_0_44,negated_conjecture,
( v3_lattice3(esk2_0)
| v3_struct_0(k9_waybel34(esk1_0))
| v3_struct_0(k5_waybel34(esk1_0))
| m1_subset_1(esk2_0,u1_struct_0(k5_waybel34(esk1_0))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_28]),c_0_29]) ).
cnf(c_0_45,plain,
( v2_setfam_1(X1)
| ~ v3_struct_0(k9_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_46,negated_conjecture,
( v1_orders_2(esk2_0)
| v3_struct_0(k5_waybel34(esk1_0))
| v3_struct_0(k9_waybel34(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(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]),c_0_36]),c_0_37]),c_0_38]),c_0_39]),c_0_40])]),c_0_22]) ).
fof(c_0_47,plain,
! [X944,X945,X946,X947,X948,X949,X950,X951] :
( ( ~ m1_subset_1(X946,u1_struct_0(k5_waybel34(X944)))
| m1_subset_1(X946,u1_struct_0(X945))
| X945 != k9_waybel34(X944)
| v3_struct_0(X945)
| ~ v2_altcat_1(X945)
| ~ v6_altcat_1(X945)
| ~ v3_altcat_2(X945,k5_waybel34(X944))
| ~ m1_altcat_2(X945,k5_waybel34(X944))
| ~ epred1_1(X944) )
& ( ~ r2_hidden(X951,k1_altcat_1(X945,X949,X950))
| v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X944),X948),k3_yellow21(k5_waybel34(X944),X947),k5_yellow21(k5_waybel34(X944),X947,X948,X951)),k3_yellow21(k5_waybel34(X944),X948),k3_yellow21(k5_waybel34(X944),X947))
| ~ m1_subset_1(X951,k1_altcat_1(k5_waybel34(X944),X947,X948))
| k1_altcat_1(k5_waybel34(X944),X947,X948) = k1_xboole_0
| X949 != X947
| X950 != X948
| ~ m1_subset_1(X950,u1_struct_0(X945))
| ~ m1_subset_1(X949,u1_struct_0(X945))
| ~ m1_subset_1(X948,u1_struct_0(k5_waybel34(X944)))
| ~ m1_subset_1(X947,u1_struct_0(k5_waybel34(X944)))
| X945 != k9_waybel34(X944)
| v3_struct_0(X945)
| ~ v2_altcat_1(X945)
| ~ v6_altcat_1(X945)
| ~ v3_altcat_2(X945,k5_waybel34(X944))
| ~ m1_altcat_2(X945,k5_waybel34(X944))
| ~ epred1_1(X944) )
& ( ~ v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X944),X948),k3_yellow21(k5_waybel34(X944),X947),k5_yellow21(k5_waybel34(X944),X947,X948,X951)),k3_yellow21(k5_waybel34(X944),X948),k3_yellow21(k5_waybel34(X944),X947))
| r2_hidden(X951,k1_altcat_1(X945,X949,X950))
| ~ m1_subset_1(X951,k1_altcat_1(k5_waybel34(X944),X947,X948))
| k1_altcat_1(k5_waybel34(X944),X947,X948) = k1_xboole_0
| X949 != X947
| X950 != X948
| ~ m1_subset_1(X950,u1_struct_0(X945))
| ~ m1_subset_1(X949,u1_struct_0(X945))
| ~ m1_subset_1(X948,u1_struct_0(k5_waybel34(X944)))
| ~ m1_subset_1(X947,u1_struct_0(k5_waybel34(X944)))
| X945 != k9_waybel34(X944)
| v3_struct_0(X945)
| ~ v2_altcat_1(X945)
| ~ v6_altcat_1(X945)
| ~ v3_altcat_2(X945,k5_waybel34(X944))
| ~ m1_altcat_2(X945,k5_waybel34(X944))
| ~ epred1_1(X944) )
& ( m1_subset_1(esk78_2(X944,X945),u1_struct_0(k5_waybel34(X944)))
| m1_subset_1(esk77_2(X944,X945),u1_struct_0(k5_waybel34(X944)))
| X945 = k9_waybel34(X944)
| v3_struct_0(X945)
| ~ v2_altcat_1(X945)
| ~ v6_altcat_1(X945)
| ~ v3_altcat_2(X945,k5_waybel34(X944))
| ~ m1_altcat_2(X945,k5_waybel34(X944))
| ~ epred1_1(X944) )
& ( m1_subset_1(esk79_2(X944,X945),u1_struct_0(k5_waybel34(X944)))
| m1_subset_1(esk77_2(X944,X945),u1_struct_0(k5_waybel34(X944)))
| X945 = k9_waybel34(X944)
| v3_struct_0(X945)
| ~ v2_altcat_1(X945)
| ~ v6_altcat_1(X945)
| ~ v3_altcat_2(X945,k5_waybel34(X944))
| ~ m1_altcat_2(X945,k5_waybel34(X944))
| ~ epred1_1(X944) )
& ( m1_subset_1(esk80_2(X944,X945),u1_struct_0(X945))
| m1_subset_1(esk77_2(X944,X945),u1_struct_0(k5_waybel34(X944)))
| X945 = k9_waybel34(X944)
| v3_struct_0(X945)
| ~ v2_altcat_1(X945)
| ~ v6_altcat_1(X945)
| ~ v3_altcat_2(X945,k5_waybel34(X944))
| ~ m1_altcat_2(X945,k5_waybel34(X944))
| ~ epred1_1(X944) )
& ( m1_subset_1(esk81_2(X944,X945),u1_struct_0(X945))
| m1_subset_1(esk77_2(X944,X945),u1_struct_0(k5_waybel34(X944)))
| X945 = k9_waybel34(X944)
| v3_struct_0(X945)
| ~ v2_altcat_1(X945)
| ~ v6_altcat_1(X945)
| ~ v3_altcat_2(X945,k5_waybel34(X944))
| ~ m1_altcat_2(X945,k5_waybel34(X944))
| ~ epred1_1(X944) )
& ( esk80_2(X944,X945) = esk78_2(X944,X945)
| m1_subset_1(esk77_2(X944,X945),u1_struct_0(k5_waybel34(X944)))
| X945 = k9_waybel34(X944)
| v3_struct_0(X945)
| ~ v2_altcat_1(X945)
| ~ v6_altcat_1(X945)
| ~ v3_altcat_2(X945,k5_waybel34(X944))
| ~ m1_altcat_2(X945,k5_waybel34(X944))
| ~ epred1_1(X944) )
& ( esk81_2(X944,X945) = esk79_2(X944,X945)
| m1_subset_1(esk77_2(X944,X945),u1_struct_0(k5_waybel34(X944)))
| X945 = k9_waybel34(X944)
| v3_struct_0(X945)
| ~ v2_altcat_1(X945)
| ~ v6_altcat_1(X945)
| ~ v3_altcat_2(X945,k5_waybel34(X944))
| ~ m1_altcat_2(X945,k5_waybel34(X944))
| ~ epred1_1(X944) )
& ( k1_altcat_1(k5_waybel34(X944),esk78_2(X944,X945),esk79_2(X944,X945)) != k1_xboole_0
| m1_subset_1(esk77_2(X944,X945),u1_struct_0(k5_waybel34(X944)))
| X945 = k9_waybel34(X944)
| v3_struct_0(X945)
| ~ v2_altcat_1(X945)
| ~ v6_altcat_1(X945)
| ~ v3_altcat_2(X945,k5_waybel34(X944))
| ~ m1_altcat_2(X945,k5_waybel34(X944))
| ~ epred1_1(X944) )
& ( m1_subset_1(esk82_2(X944,X945),k1_altcat_1(k5_waybel34(X944),esk78_2(X944,X945),esk79_2(X944,X945)))
| m1_subset_1(esk77_2(X944,X945),u1_struct_0(k5_waybel34(X944)))
| X945 = k9_waybel34(X944)
| v3_struct_0(X945)
| ~ v2_altcat_1(X945)
| ~ v6_altcat_1(X945)
| ~ v3_altcat_2(X945,k5_waybel34(X944))
| ~ m1_altcat_2(X945,k5_waybel34(X944))
| ~ epred1_1(X944) )
& ( ~ r2_hidden(esk82_2(X944,X945),k1_altcat_1(X945,esk80_2(X944,X945),esk81_2(X944,X945)))
| ~ v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X944),esk79_2(X944,X945)),k3_yellow21(k5_waybel34(X944),esk78_2(X944,X945)),k5_yellow21(k5_waybel34(X944),esk78_2(X944,X945),esk79_2(X944,X945),esk82_2(X944,X945))),k3_yellow21(k5_waybel34(X944),esk79_2(X944,X945)),k3_yellow21(k5_waybel34(X944),esk78_2(X944,X945)))
| m1_subset_1(esk77_2(X944,X945),u1_struct_0(k5_waybel34(X944)))
| X945 = k9_waybel34(X944)
| v3_struct_0(X945)
| ~ v2_altcat_1(X945)
| ~ v6_altcat_1(X945)
| ~ v3_altcat_2(X945,k5_waybel34(X944))
| ~ m1_altcat_2(X945,k5_waybel34(X944))
| ~ epred1_1(X944) )
& ( r2_hidden(esk82_2(X944,X945),k1_altcat_1(X945,esk80_2(X944,X945),esk81_2(X944,X945)))
| v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X944),esk79_2(X944,X945)),k3_yellow21(k5_waybel34(X944),esk78_2(X944,X945)),k5_yellow21(k5_waybel34(X944),esk78_2(X944,X945),esk79_2(X944,X945),esk82_2(X944,X945))),k3_yellow21(k5_waybel34(X944),esk79_2(X944,X945)),k3_yellow21(k5_waybel34(X944),esk78_2(X944,X945)))
| m1_subset_1(esk77_2(X944,X945),u1_struct_0(k5_waybel34(X944)))
| X945 = k9_waybel34(X944)
| v3_struct_0(X945)
| ~ v2_altcat_1(X945)
| ~ v6_altcat_1(X945)
| ~ v3_altcat_2(X945,k5_waybel34(X944))
| ~ m1_altcat_2(X945,k5_waybel34(X944))
| ~ epred1_1(X944) )
& ( m1_subset_1(esk78_2(X944,X945),u1_struct_0(k5_waybel34(X944)))
| ~ m1_subset_1(esk77_2(X944,X945),u1_struct_0(X945))
| X945 = k9_waybel34(X944)
| v3_struct_0(X945)
| ~ v2_altcat_1(X945)
| ~ v6_altcat_1(X945)
| ~ v3_altcat_2(X945,k5_waybel34(X944))
| ~ m1_altcat_2(X945,k5_waybel34(X944))
| ~ epred1_1(X944) )
& ( m1_subset_1(esk79_2(X944,X945),u1_struct_0(k5_waybel34(X944)))
| ~ m1_subset_1(esk77_2(X944,X945),u1_struct_0(X945))
| X945 = k9_waybel34(X944)
| v3_struct_0(X945)
| ~ v2_altcat_1(X945)
| ~ v6_altcat_1(X945)
| ~ v3_altcat_2(X945,k5_waybel34(X944))
| ~ m1_altcat_2(X945,k5_waybel34(X944))
| ~ epred1_1(X944) )
& ( m1_subset_1(esk80_2(X944,X945),u1_struct_0(X945))
| ~ m1_subset_1(esk77_2(X944,X945),u1_struct_0(X945))
| X945 = k9_waybel34(X944)
| v3_struct_0(X945)
| ~ v2_altcat_1(X945)
| ~ v6_altcat_1(X945)
| ~ v3_altcat_2(X945,k5_waybel34(X944))
| ~ m1_altcat_2(X945,k5_waybel34(X944))
| ~ epred1_1(X944) )
& ( m1_subset_1(esk81_2(X944,X945),u1_struct_0(X945))
| ~ m1_subset_1(esk77_2(X944,X945),u1_struct_0(X945))
| X945 = k9_waybel34(X944)
| v3_struct_0(X945)
| ~ v2_altcat_1(X945)
| ~ v6_altcat_1(X945)
| ~ v3_altcat_2(X945,k5_waybel34(X944))
| ~ m1_altcat_2(X945,k5_waybel34(X944))
| ~ epred1_1(X944) )
& ( esk80_2(X944,X945) = esk78_2(X944,X945)
| ~ m1_subset_1(esk77_2(X944,X945),u1_struct_0(X945))
| X945 = k9_waybel34(X944)
| v3_struct_0(X945)
| ~ v2_altcat_1(X945)
| ~ v6_altcat_1(X945)
| ~ v3_altcat_2(X945,k5_waybel34(X944))
| ~ m1_altcat_2(X945,k5_waybel34(X944))
| ~ epred1_1(X944) )
& ( esk81_2(X944,X945) = esk79_2(X944,X945)
| ~ m1_subset_1(esk77_2(X944,X945),u1_struct_0(X945))
| X945 = k9_waybel34(X944)
| v3_struct_0(X945)
| ~ v2_altcat_1(X945)
| ~ v6_altcat_1(X945)
| ~ v3_altcat_2(X945,k5_waybel34(X944))
| ~ m1_altcat_2(X945,k5_waybel34(X944))
| ~ epred1_1(X944) )
& ( k1_altcat_1(k5_waybel34(X944),esk78_2(X944,X945),esk79_2(X944,X945)) != k1_xboole_0
| ~ m1_subset_1(esk77_2(X944,X945),u1_struct_0(X945))
| X945 = k9_waybel34(X944)
| v3_struct_0(X945)
| ~ v2_altcat_1(X945)
| ~ v6_altcat_1(X945)
| ~ v3_altcat_2(X945,k5_waybel34(X944))
| ~ m1_altcat_2(X945,k5_waybel34(X944))
| ~ epred1_1(X944) )
& ( m1_subset_1(esk82_2(X944,X945),k1_altcat_1(k5_waybel34(X944),esk78_2(X944,X945),esk79_2(X944,X945)))
| ~ m1_subset_1(esk77_2(X944,X945),u1_struct_0(X945))
| X945 = k9_waybel34(X944)
| v3_struct_0(X945)
| ~ v2_altcat_1(X945)
| ~ v6_altcat_1(X945)
| ~ v3_altcat_2(X945,k5_waybel34(X944))
| ~ m1_altcat_2(X945,k5_waybel34(X944))
| ~ epred1_1(X944) )
& ( ~ r2_hidden(esk82_2(X944,X945),k1_altcat_1(X945,esk80_2(X944,X945),esk81_2(X944,X945)))
| ~ v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X944),esk79_2(X944,X945)),k3_yellow21(k5_waybel34(X944),esk78_2(X944,X945)),k5_yellow21(k5_waybel34(X944),esk78_2(X944,X945),esk79_2(X944,X945),esk82_2(X944,X945))),k3_yellow21(k5_waybel34(X944),esk79_2(X944,X945)),k3_yellow21(k5_waybel34(X944),esk78_2(X944,X945)))
| ~ m1_subset_1(esk77_2(X944,X945),u1_struct_0(X945))
| X945 = k9_waybel34(X944)
| v3_struct_0(X945)
| ~ v2_altcat_1(X945)
| ~ v6_altcat_1(X945)
| ~ v3_altcat_2(X945,k5_waybel34(X944))
| ~ m1_altcat_2(X945,k5_waybel34(X944))
| ~ epred1_1(X944) )
& ( r2_hidden(esk82_2(X944,X945),k1_altcat_1(X945,esk80_2(X944,X945),esk81_2(X944,X945)))
| v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X944),esk79_2(X944,X945)),k3_yellow21(k5_waybel34(X944),esk78_2(X944,X945)),k5_yellow21(k5_waybel34(X944),esk78_2(X944,X945),esk79_2(X944,X945),esk82_2(X944,X945))),k3_yellow21(k5_waybel34(X944),esk79_2(X944,X945)),k3_yellow21(k5_waybel34(X944),esk78_2(X944,X945)))
| ~ m1_subset_1(esk77_2(X944,X945),u1_struct_0(X945))
| X945 = k9_waybel34(X944)
| v3_struct_0(X945)
| ~ v2_altcat_1(X945)
| ~ v6_altcat_1(X945)
| ~ v3_altcat_2(X945,k5_waybel34(X944))
| ~ m1_altcat_2(X945,k5_waybel34(X944))
| ~ epred1_1(X944) ) ),
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_41])])])])]) ).
fof(c_0_48,plain,
! [X1] :
( ~ v2_setfam_1(X1)
=> epred1_1(X1) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[d11_waybel34]),c_0_30]) ).
cnf(c_0_49,negated_conjecture,
( v3_struct_0(k5_waybel34(esk1_0))
| v3_struct_0(k9_waybel34(esk1_0))
| m1_subset_1(esk2_0,u1_struct_0(k5_waybel34(esk1_0)))
| r2_hidden(u1_struct_0(esk2_0),esk1_0)
| ~ l2_altcat_1(k5_waybel34(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_21]),c_0_22]) ).
cnf(c_0_50,negated_conjecture,
( v3_lattice3(esk2_0)
| v3_struct_0(k5_waybel34(esk1_0))
| v3_struct_0(k9_waybel34(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(spm,[status(thm)],[c_0_43,c_0_44]),c_0_35]),c_0_36]),c_0_37]),c_0_38]),c_0_39]),c_0_40])]),c_0_22]) ).
cnf(c_0_51,plain,
( v1_xboole_0(X1)
| ~ v3_struct_0(k5_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_52,negated_conjecture,
( v1_orders_2(esk2_0)
| v3_struct_0(k5_waybel34(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_22]) ).
cnf(c_0_53,plain,
( m1_subset_1(X1,u1_struct_0(X3))
| v3_struct_0(X3)
| ~ m1_subset_1(X1,u1_struct_0(k5_waybel34(X2)))
| X3 != k9_waybel34(X2)
| ~ v2_altcat_1(X3)
| ~ v6_altcat_1(X3)
| ~ v3_altcat_2(X3,k5_waybel34(X2))
| ~ m1_altcat_2(X3,k5_waybel34(X2))
| ~ epred1_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
fof(c_0_54,plain,
! [X547] :
( v2_setfam_1(X547)
| epred1_1(X547) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_48])]) ).
cnf(c_0_55,plain,
( r2_hidden(u1_struct_0(X1),X2)
| v2_setfam_1(X2)
| ~ m1_subset_1(X1,u1_struct_0(k5_waybel34(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)],[c_0_26]) ).
cnf(c_0_56,negated_conjecture,
( v3_struct_0(k9_waybel34(esk1_0))
| v3_struct_0(k5_waybel34(esk1_0))
| m1_subset_1(esk2_0,u1_struct_0(k5_waybel34(esk1_0)))
| r2_hidden(u1_struct_0(esk2_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_28]),c_0_29]) ).
cnf(c_0_57,negated_conjecture,
( v3_lattice3(esk2_0)
| v3_struct_0(k5_waybel34(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_50]),c_0_22]) ).
cnf(c_0_58,negated_conjecture,
( ~ m1_subset_1(esk2_0,u1_struct_0(k9_waybel34(esk1_0)))
| ~ v1_orders_2(esk2_0)
| ~ v3_lattice3(esk2_0)
| ~ r2_hidden(u1_struct_0(esk2_0),esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_59,negated_conjecture,
v1_orders_2(esk2_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_29]) ).
cnf(c_0_60,plain,
( v3_struct_0(k9_waybel34(X1))
| m1_subset_1(X2,u1_struct_0(k9_waybel34(X1)))
| ~ epred1_1(X1)
| ~ v3_altcat_2(k9_waybel34(X1),k5_waybel34(X1))
| ~ m1_altcat_2(k9_waybel34(X1),k5_waybel34(X1))
| ~ v2_altcat_1(k9_waybel34(X1))
| ~ v6_altcat_1(k9_waybel34(X1))
| ~ m1_subset_1(X2,u1_struct_0(k5_waybel34(X1))) ),
inference(er,[status(thm)],[c_0_53]) ).
cnf(c_0_61,plain,
( v3_altcat_2(k9_waybel34(X1),k5_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_62,plain,
( v6_altcat_1(k9_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_63,plain,
( v2_altcat_1(k9_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_64,plain,
( v2_setfam_1(X1)
| epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_65,plain,
( m1_subset_1(X1,u1_struct_0(k5_waybel34(X2)))
| v2_setfam_1(X2)
| ~ v1_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ r2_hidden(u1_struct_0(X1),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)],[c_0_26]) ).
cnf(c_0_66,negated_conjecture,
( v3_struct_0(k5_waybel34(esk1_0))
| v3_struct_0(k9_waybel34(esk1_0))
| r2_hidden(u1_struct_0(esk2_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(spm,[status(thm)],[c_0_55,c_0_56]),c_0_35]),c_0_36]),c_0_37]),c_0_38]),c_0_39]),c_0_40])]),c_0_22]) ).
cnf(c_0_67,negated_conjecture,
v3_lattice3(esk2_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_57]),c_0_29]) ).
cnf(c_0_68,negated_conjecture,
( ~ v3_lattice3(esk2_0)
| ~ m1_subset_1(esk2_0,u1_struct_0(k9_waybel34(esk1_0)))
| ~ r2_hidden(u1_struct_0(esk2_0),esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_59])]) ).
cnf(c_0_69,plain,
( v2_setfam_1(X1)
| m1_subset_1(X2,u1_struct_0(k9_waybel34(X1)))
| ~ m1_subset_1(X2,u1_struct_0(k5_waybel34(X1))) ),
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_60,c_0_61]),c_0_62]),c_0_63]),c_0_21]),c_0_64]),c_0_45]) ).
cnf(c_0_70,negated_conjecture,
( v3_struct_0(k9_waybel34(esk1_0))
| v3_struct_0(k5_waybel34(esk1_0))
| m1_subset_1(esk2_0,u1_struct_0(k5_waybel34(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(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67]),c_0_35]),c_0_36]),c_0_37]),c_0_38]),c_0_39]),c_0_59]),c_0_40])]),c_0_22]) ).
cnf(c_0_71,negated_conjecture,
( ~ m1_subset_1(esk2_0,u1_struct_0(k9_waybel34(esk1_0)))
| ~ r2_hidden(u1_struct_0(esk2_0),esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_67])]) ).
cnf(c_0_72,negated_conjecture,
( v3_struct_0(k5_waybel34(esk1_0))
| v3_struct_0(k9_waybel34(esk1_0))
| m1_subset_1(esk2_0,u1_struct_0(k9_waybel34(esk1_0))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_22]) ).
cnf(c_0_73,negated_conjecture,
( v3_struct_0(k9_waybel34(esk1_0))
| v3_struct_0(k5_waybel34(esk1_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_66]) ).
cnf(c_0_74,negated_conjecture,
v3_struct_0(k5_waybel34(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_73]),c_0_22]) ).
cnf(c_0_75,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_74]),c_0_29]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT374+3 : TPTP v9.2.1. Released v3.4.0.
% 0.00/0.12 % 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
% 0.17/0.34 % Computer : n009.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Mon May 4 21:44:28 EDT 2026
% 0.17/0.34 % CPUTime :
% 0.17/0.35 % start to proof: theBenchmark
% 48.19/33.80 % Version : CSE_E---1.7
% 48.19/33.80 % Problem : theBenchmark.p
% 48.19/33.80 % SZS status Theorem for theBenchmark.p
% 48.19/33.80 % SZS output start CNFRefutation
% See solution above
% 48.29/33.90 % Total time : 29.697s
%------------------------------------------------------------------------------