%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LAT374+2 : 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 : n020.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 9.13s 8.31s
% Output : CNFRefutation 9.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 8
% Syntax : Number of formulae : 75 ( 15 unt; 0 def)
% Number of atoms : 621 ( 48 equ)
% Maximal formula atoms : 227 ( 8 avg)
% Number of connectives : 841 ( 295 ~; 373 |; 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 : 93 ( 0 sgn 62 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(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(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(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(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(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(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,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_8,plain,
! [X1] :
( ~ v2_setfam_1(X1)
=> ~ v1_xboole_0(X1) ),
inference(fof_simplification,[status(thm)],[cc2_setfam_1]) ).
fof(c_0_9,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]) ).
fof(c_0_10,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_11,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_7])])])]) ).
fof(c_0_12,plain,
! [X322] :
( v2_setfam_1(X322)
| ~ v1_xboole_0(X322) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])]) ).
fof(c_0_13,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_14,plain,
! [X391,X392] :
( ( v1_orders_2(X392)
| ~ m1_subset_1(X392,u1_struct_0(k5_waybel34(X391)))
| ~ v2_orders_2(X392)
| ~ v3_orders_2(X392)
| ~ v4_orders_2(X392)
| ~ v1_lattice3(X392)
| ~ v2_lattice3(X392)
| ~ l1_orders_2(X392)
| v2_setfam_1(X391) )
& ( v3_lattice3(X392)
| ~ m1_subset_1(X392,u1_struct_0(k5_waybel34(X391)))
| ~ v2_orders_2(X392)
| ~ v3_orders_2(X392)
| ~ v4_orders_2(X392)
| ~ v1_lattice3(X392)
| ~ v2_lattice3(X392)
| ~ l1_orders_2(X392)
| v2_setfam_1(X391) )
& ( r2_hidden(u1_struct_0(X392),X391)
| ~ m1_subset_1(X392,u1_struct_0(k5_waybel34(X391)))
| ~ v2_orders_2(X392)
| ~ v3_orders_2(X392)
| ~ v4_orders_2(X392)
| ~ v1_lattice3(X392)
| ~ v2_lattice3(X392)
| ~ l1_orders_2(X392)
| v2_setfam_1(X391) )
& ( ~ v1_orders_2(X392)
| ~ v3_lattice3(X392)
| ~ r2_hidden(u1_struct_0(X392),X391)
| m1_subset_1(X392,u1_struct_0(k5_waybel34(X391)))
| ~ v2_orders_2(X392)
| ~ v3_orders_2(X392)
| ~ v4_orders_2(X392)
| ~ v1_lattice3(X392)
| ~ v2_lattice3(X392)
| ~ l1_orders_2(X392)
| v2_setfam_1(X391) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])]) ).
fof(c_0_15,plain,
! [X363,X364,X365] :
( v3_struct_0(X363)
| ~ l2_altcat_1(X363)
| v3_struct_0(X364)
| ~ m1_altcat_2(X364,X363)
| ~ m1_subset_1(X365,u1_struct_0(X364))
| m1_subset_1(X365,u1_struct_0(X363)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])]) ).
fof(c_0_16,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]) ).
cnf(c_0_17,negated_conjecture,
~ v2_setfam_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_18,plain,
( v2_setfam_1(X1)
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_19,plain,
! [X383] :
( ( ~ v3_struct_0(k5_waybel34(X383))
| v1_xboole_0(X383) )
& ( v2_altcat_1(k5_waybel34(X383))
| v1_xboole_0(X383) )
& ( v6_altcat_1(k5_waybel34(X383))
| v1_xboole_0(X383) )
& ( v11_altcat_1(k5_waybel34(X383))
| v1_xboole_0(X383) )
& ( v12_altcat_1(k5_waybel34(X383))
| v1_xboole_0(X383) )
& ( v2_yellow21(k5_waybel34(X383))
| v1_xboole_0(X383) )
& ( l2_altcat_1(k5_waybel34(X383))
| v1_xboole_0(X383) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])]) ).
cnf(c_0_20,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_14]) ).
cnf(c_0_21,negated_conjecture,
v2_lattice3(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_22,negated_conjecture,
v1_lattice3(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_23,negated_conjecture,
v4_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_24,negated_conjecture,
v3_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_25,negated_conjecture,
v2_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_26,negated_conjecture,
l1_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_27,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_15]) ).
cnf(c_0_28,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_11]) ).
fof(c_0_29,plain,
! [X316] :
( ( ~ v3_struct_0(k9_waybel34(X316))
| v2_setfam_1(X316) )
& ( v2_altcat_1(k9_waybel34(X316))
| v2_setfam_1(X316) )
& ( v6_altcat_1(k9_waybel34(X316))
| v2_setfam_1(X316) )
& ( v3_altcat_2(k9_waybel34(X316),k5_waybel34(X316))
| v2_setfam_1(X316) )
& ( m1_altcat_2(k9_waybel34(X316),k5_waybel34(X316))
| v2_setfam_1(X316) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])]) ).
cnf(c_0_30,negated_conjecture,
~ v1_xboole_0(esk1_0),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_31,plain,
( v1_xboole_0(X1)
| ~ v3_struct_0(k5_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_32,negated_conjecture,
( v2_setfam_1(X1)
| r2_hidden(u1_struct_0(esk2_0),X1)
| ~ m1_subset_1(esk2_0,u1_struct_0(k5_waybel34(X1))) ),
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_20,c_0_21]),c_0_22]),c_0_23]),c_0_24]),c_0_25]),c_0_26])]) ).
cnf(c_0_33,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_11]) ).
cnf(c_0_34,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_27,c_0_28]) ).
cnf(c_0_35,plain,
( m1_altcat_2(k9_waybel34(X1),k5_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_36,negated_conjecture,
~ v3_struct_0(k5_waybel34(esk1_0)),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_37,negated_conjecture,
( r2_hidden(u1_struct_0(esk2_0),esk1_0)
| ~ m1_subset_1(esk2_0,u1_struct_0(k5_waybel34(esk1_0))) ),
inference(spm,[status(thm)],[c_0_17,c_0_32]) ).
cnf(c_0_38,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_27,c_0_33]) ).
cnf(c_0_39,plain,
( v2_setfam_1(X1)
| ~ v3_struct_0(k9_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_40,negated_conjecture,
( v3_struct_0(k9_waybel34(esk1_0))
| r2_hidden(u1_struct_0(esk2_0),esk1_0)
| ~ l2_altcat_1(k5_waybel34(esk1_0)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]),c_0_17]),c_0_37]) ).
cnf(c_0_41,negated_conjecture,
( v3_lattice3(esk2_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(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_35]),c_0_36]),c_0_17]) ).
cnf(c_0_42,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_11]) ).
cnf(c_0_43,negated_conjecture,
( 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_39,c_0_40]),c_0_17]) ).
cnf(c_0_44,plain,
( l2_altcat_1(k5_waybel34(X1))
| v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_45,negated_conjecture,
( v3_lattice3(esk2_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_39,c_0_41]),c_0_17]) ).
cnf(c_0_46,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_27,c_0_42]) ).
cnf(c_0_47,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_14]) ).
cnf(c_0_48,negated_conjecture,
r2_hidden(u1_struct_0(esk2_0),esk1_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_30]) ).
cnf(c_0_49,negated_conjecture,
( v3_lattice3(esk2_0)
| m1_subset_1(esk2_0,u1_struct_0(k5_waybel34(esk1_0))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_44]),c_0_30]) ).
cnf(c_0_50,negated_conjecture,
( v1_orders_2(esk2_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(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_35]),c_0_36]),c_0_17]) ).
fof(c_0_51,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_52,negated_conjecture,
( m1_subset_1(esk2_0,u1_struct_0(k5_waybel34(esk1_0)))
| ~ v1_orders_2(esk2_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_21]),c_0_22]),c_0_23]),c_0_24]),c_0_25]),c_0_26])]),c_0_17]),c_0_49]) ).
cnf(c_0_53,negated_conjecture,
( v1_orders_2(esk2_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_39,c_0_50]),c_0_17]) ).
fof(c_0_54,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_51]) ).
cnf(c_0_55,negated_conjecture,
( m1_subset_1(esk2_0,u1_struct_0(k5_waybel34(esk1_0)))
| ~ l2_altcat_1(k5_waybel34(esk1_0)) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
fof(c_0_56,plain,
! [X523,X524,X525,X526,X527,X528,X529,X530] :
( ( ~ m1_subset_1(X525,u1_struct_0(k5_waybel34(X523)))
| m1_subset_1(X525,u1_struct_0(X524))
| X524 != k9_waybel34(X523)
| v3_struct_0(X524)
| ~ v2_altcat_1(X524)
| ~ v6_altcat_1(X524)
| ~ v3_altcat_2(X524,k5_waybel34(X523))
| ~ m1_altcat_2(X524,k5_waybel34(X523))
| ~ epred1_1(X523) )
& ( ~ r2_hidden(X530,k1_altcat_1(X524,X528,X529))
| v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X523),X527),k3_yellow21(k5_waybel34(X523),X526),k5_yellow21(k5_waybel34(X523),X526,X527,X530)),k3_yellow21(k5_waybel34(X523),X527),k3_yellow21(k5_waybel34(X523),X526))
| ~ m1_subset_1(X530,k1_altcat_1(k5_waybel34(X523),X526,X527))
| k1_altcat_1(k5_waybel34(X523),X526,X527) = k1_xboole_0
| X528 != X526
| X529 != X527
| ~ m1_subset_1(X529,u1_struct_0(X524))
| ~ m1_subset_1(X528,u1_struct_0(X524))
| ~ m1_subset_1(X527,u1_struct_0(k5_waybel34(X523)))
| ~ m1_subset_1(X526,u1_struct_0(k5_waybel34(X523)))
| X524 != k9_waybel34(X523)
| v3_struct_0(X524)
| ~ v2_altcat_1(X524)
| ~ v6_altcat_1(X524)
| ~ v3_altcat_2(X524,k5_waybel34(X523))
| ~ m1_altcat_2(X524,k5_waybel34(X523))
| ~ epred1_1(X523) )
& ( ~ v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X523),X527),k3_yellow21(k5_waybel34(X523),X526),k5_yellow21(k5_waybel34(X523),X526,X527,X530)),k3_yellow21(k5_waybel34(X523),X527),k3_yellow21(k5_waybel34(X523),X526))
| r2_hidden(X530,k1_altcat_1(X524,X528,X529))
| ~ m1_subset_1(X530,k1_altcat_1(k5_waybel34(X523),X526,X527))
| k1_altcat_1(k5_waybel34(X523),X526,X527) = k1_xboole_0
| X528 != X526
| X529 != X527
| ~ m1_subset_1(X529,u1_struct_0(X524))
| ~ m1_subset_1(X528,u1_struct_0(X524))
| ~ m1_subset_1(X527,u1_struct_0(k5_waybel34(X523)))
| ~ m1_subset_1(X526,u1_struct_0(k5_waybel34(X523)))
| X524 != k9_waybel34(X523)
| v3_struct_0(X524)
| ~ v2_altcat_1(X524)
| ~ v6_altcat_1(X524)
| ~ v3_altcat_2(X524,k5_waybel34(X523))
| ~ m1_altcat_2(X524,k5_waybel34(X523))
| ~ epred1_1(X523) )
& ( m1_subset_1(esk36_2(X523,X524),u1_struct_0(k5_waybel34(X523)))
| m1_subset_1(esk35_2(X523,X524),u1_struct_0(k5_waybel34(X523)))
| X524 = k9_waybel34(X523)
| v3_struct_0(X524)
| ~ v2_altcat_1(X524)
| ~ v6_altcat_1(X524)
| ~ v3_altcat_2(X524,k5_waybel34(X523))
| ~ m1_altcat_2(X524,k5_waybel34(X523))
| ~ epred1_1(X523) )
& ( m1_subset_1(esk37_2(X523,X524),u1_struct_0(k5_waybel34(X523)))
| m1_subset_1(esk35_2(X523,X524),u1_struct_0(k5_waybel34(X523)))
| X524 = k9_waybel34(X523)
| v3_struct_0(X524)
| ~ v2_altcat_1(X524)
| ~ v6_altcat_1(X524)
| ~ v3_altcat_2(X524,k5_waybel34(X523))
| ~ m1_altcat_2(X524,k5_waybel34(X523))
| ~ epred1_1(X523) )
& ( m1_subset_1(esk38_2(X523,X524),u1_struct_0(X524))
| m1_subset_1(esk35_2(X523,X524),u1_struct_0(k5_waybel34(X523)))
| X524 = k9_waybel34(X523)
| v3_struct_0(X524)
| ~ v2_altcat_1(X524)
| ~ v6_altcat_1(X524)
| ~ v3_altcat_2(X524,k5_waybel34(X523))
| ~ m1_altcat_2(X524,k5_waybel34(X523))
| ~ epred1_1(X523) )
& ( m1_subset_1(esk39_2(X523,X524),u1_struct_0(X524))
| m1_subset_1(esk35_2(X523,X524),u1_struct_0(k5_waybel34(X523)))
| X524 = k9_waybel34(X523)
| v3_struct_0(X524)
| ~ v2_altcat_1(X524)
| ~ v6_altcat_1(X524)
| ~ v3_altcat_2(X524,k5_waybel34(X523))
| ~ m1_altcat_2(X524,k5_waybel34(X523))
| ~ epred1_1(X523) )
& ( esk38_2(X523,X524) = esk36_2(X523,X524)
| m1_subset_1(esk35_2(X523,X524),u1_struct_0(k5_waybel34(X523)))
| X524 = k9_waybel34(X523)
| v3_struct_0(X524)
| ~ v2_altcat_1(X524)
| ~ v6_altcat_1(X524)
| ~ v3_altcat_2(X524,k5_waybel34(X523))
| ~ m1_altcat_2(X524,k5_waybel34(X523))
| ~ epred1_1(X523) )
& ( esk39_2(X523,X524) = esk37_2(X523,X524)
| m1_subset_1(esk35_2(X523,X524),u1_struct_0(k5_waybel34(X523)))
| X524 = k9_waybel34(X523)
| v3_struct_0(X524)
| ~ v2_altcat_1(X524)
| ~ v6_altcat_1(X524)
| ~ v3_altcat_2(X524,k5_waybel34(X523))
| ~ m1_altcat_2(X524,k5_waybel34(X523))
| ~ epred1_1(X523) )
& ( k1_altcat_1(k5_waybel34(X523),esk36_2(X523,X524),esk37_2(X523,X524)) != k1_xboole_0
| m1_subset_1(esk35_2(X523,X524),u1_struct_0(k5_waybel34(X523)))
| X524 = k9_waybel34(X523)
| v3_struct_0(X524)
| ~ v2_altcat_1(X524)
| ~ v6_altcat_1(X524)
| ~ v3_altcat_2(X524,k5_waybel34(X523))
| ~ m1_altcat_2(X524,k5_waybel34(X523))
| ~ epred1_1(X523) )
& ( m1_subset_1(esk40_2(X523,X524),k1_altcat_1(k5_waybel34(X523),esk36_2(X523,X524),esk37_2(X523,X524)))
| m1_subset_1(esk35_2(X523,X524),u1_struct_0(k5_waybel34(X523)))
| X524 = k9_waybel34(X523)
| v3_struct_0(X524)
| ~ v2_altcat_1(X524)
| ~ v6_altcat_1(X524)
| ~ v3_altcat_2(X524,k5_waybel34(X523))
| ~ m1_altcat_2(X524,k5_waybel34(X523))
| ~ epred1_1(X523) )
& ( ~ r2_hidden(esk40_2(X523,X524),k1_altcat_1(X524,esk38_2(X523,X524),esk39_2(X523,X524)))
| ~ v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X523),esk37_2(X523,X524)),k3_yellow21(k5_waybel34(X523),esk36_2(X523,X524)),k5_yellow21(k5_waybel34(X523),esk36_2(X523,X524),esk37_2(X523,X524),esk40_2(X523,X524))),k3_yellow21(k5_waybel34(X523),esk37_2(X523,X524)),k3_yellow21(k5_waybel34(X523),esk36_2(X523,X524)))
| m1_subset_1(esk35_2(X523,X524),u1_struct_0(k5_waybel34(X523)))
| X524 = k9_waybel34(X523)
| v3_struct_0(X524)
| ~ v2_altcat_1(X524)
| ~ v6_altcat_1(X524)
| ~ v3_altcat_2(X524,k5_waybel34(X523))
| ~ m1_altcat_2(X524,k5_waybel34(X523))
| ~ epred1_1(X523) )
& ( r2_hidden(esk40_2(X523,X524),k1_altcat_1(X524,esk38_2(X523,X524),esk39_2(X523,X524)))
| v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X523),esk37_2(X523,X524)),k3_yellow21(k5_waybel34(X523),esk36_2(X523,X524)),k5_yellow21(k5_waybel34(X523),esk36_2(X523,X524),esk37_2(X523,X524),esk40_2(X523,X524))),k3_yellow21(k5_waybel34(X523),esk37_2(X523,X524)),k3_yellow21(k5_waybel34(X523),esk36_2(X523,X524)))
| m1_subset_1(esk35_2(X523,X524),u1_struct_0(k5_waybel34(X523)))
| X524 = k9_waybel34(X523)
| v3_struct_0(X524)
| ~ v2_altcat_1(X524)
| ~ v6_altcat_1(X524)
| ~ v3_altcat_2(X524,k5_waybel34(X523))
| ~ m1_altcat_2(X524,k5_waybel34(X523))
| ~ epred1_1(X523) )
& ( m1_subset_1(esk36_2(X523,X524),u1_struct_0(k5_waybel34(X523)))
| ~ m1_subset_1(esk35_2(X523,X524),u1_struct_0(X524))
| X524 = k9_waybel34(X523)
| v3_struct_0(X524)
| ~ v2_altcat_1(X524)
| ~ v6_altcat_1(X524)
| ~ v3_altcat_2(X524,k5_waybel34(X523))
| ~ m1_altcat_2(X524,k5_waybel34(X523))
| ~ epred1_1(X523) )
& ( m1_subset_1(esk37_2(X523,X524),u1_struct_0(k5_waybel34(X523)))
| ~ m1_subset_1(esk35_2(X523,X524),u1_struct_0(X524))
| X524 = k9_waybel34(X523)
| v3_struct_0(X524)
| ~ v2_altcat_1(X524)
| ~ v6_altcat_1(X524)
| ~ v3_altcat_2(X524,k5_waybel34(X523))
| ~ m1_altcat_2(X524,k5_waybel34(X523))
| ~ epred1_1(X523) )
& ( m1_subset_1(esk38_2(X523,X524),u1_struct_0(X524))
| ~ m1_subset_1(esk35_2(X523,X524),u1_struct_0(X524))
| X524 = k9_waybel34(X523)
| v3_struct_0(X524)
| ~ v2_altcat_1(X524)
| ~ v6_altcat_1(X524)
| ~ v3_altcat_2(X524,k5_waybel34(X523))
| ~ m1_altcat_2(X524,k5_waybel34(X523))
| ~ epred1_1(X523) )
& ( m1_subset_1(esk39_2(X523,X524),u1_struct_0(X524))
| ~ m1_subset_1(esk35_2(X523,X524),u1_struct_0(X524))
| X524 = k9_waybel34(X523)
| v3_struct_0(X524)
| ~ v2_altcat_1(X524)
| ~ v6_altcat_1(X524)
| ~ v3_altcat_2(X524,k5_waybel34(X523))
| ~ m1_altcat_2(X524,k5_waybel34(X523))
| ~ epred1_1(X523) )
& ( esk38_2(X523,X524) = esk36_2(X523,X524)
| ~ m1_subset_1(esk35_2(X523,X524),u1_struct_0(X524))
| X524 = k9_waybel34(X523)
| v3_struct_0(X524)
| ~ v2_altcat_1(X524)
| ~ v6_altcat_1(X524)
| ~ v3_altcat_2(X524,k5_waybel34(X523))
| ~ m1_altcat_2(X524,k5_waybel34(X523))
| ~ epred1_1(X523) )
& ( esk39_2(X523,X524) = esk37_2(X523,X524)
| ~ m1_subset_1(esk35_2(X523,X524),u1_struct_0(X524))
| X524 = k9_waybel34(X523)
| v3_struct_0(X524)
| ~ v2_altcat_1(X524)
| ~ v6_altcat_1(X524)
| ~ v3_altcat_2(X524,k5_waybel34(X523))
| ~ m1_altcat_2(X524,k5_waybel34(X523))
| ~ epred1_1(X523) )
& ( k1_altcat_1(k5_waybel34(X523),esk36_2(X523,X524),esk37_2(X523,X524)) != k1_xboole_0
| ~ m1_subset_1(esk35_2(X523,X524),u1_struct_0(X524))
| X524 = k9_waybel34(X523)
| v3_struct_0(X524)
| ~ v2_altcat_1(X524)
| ~ v6_altcat_1(X524)
| ~ v3_altcat_2(X524,k5_waybel34(X523))
| ~ m1_altcat_2(X524,k5_waybel34(X523))
| ~ epred1_1(X523) )
& ( m1_subset_1(esk40_2(X523,X524),k1_altcat_1(k5_waybel34(X523),esk36_2(X523,X524),esk37_2(X523,X524)))
| ~ m1_subset_1(esk35_2(X523,X524),u1_struct_0(X524))
| X524 = k9_waybel34(X523)
| v3_struct_0(X524)
| ~ v2_altcat_1(X524)
| ~ v6_altcat_1(X524)
| ~ v3_altcat_2(X524,k5_waybel34(X523))
| ~ m1_altcat_2(X524,k5_waybel34(X523))
| ~ epred1_1(X523) )
& ( ~ r2_hidden(esk40_2(X523,X524),k1_altcat_1(X524,esk38_2(X523,X524),esk39_2(X523,X524)))
| ~ v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X523),esk37_2(X523,X524)),k3_yellow21(k5_waybel34(X523),esk36_2(X523,X524)),k5_yellow21(k5_waybel34(X523),esk36_2(X523,X524),esk37_2(X523,X524),esk40_2(X523,X524))),k3_yellow21(k5_waybel34(X523),esk37_2(X523,X524)),k3_yellow21(k5_waybel34(X523),esk36_2(X523,X524)))
| ~ m1_subset_1(esk35_2(X523,X524),u1_struct_0(X524))
| X524 = k9_waybel34(X523)
| v3_struct_0(X524)
| ~ v2_altcat_1(X524)
| ~ v6_altcat_1(X524)
| ~ v3_altcat_2(X524,k5_waybel34(X523))
| ~ m1_altcat_2(X524,k5_waybel34(X523))
| ~ epred1_1(X523) )
& ( r2_hidden(esk40_2(X523,X524),k1_altcat_1(X524,esk38_2(X523,X524),esk39_2(X523,X524)))
| v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X523),esk37_2(X523,X524)),k3_yellow21(k5_waybel34(X523),esk36_2(X523,X524)),k5_yellow21(k5_waybel34(X523),esk36_2(X523,X524),esk37_2(X523,X524),esk40_2(X523,X524))),k3_yellow21(k5_waybel34(X523),esk37_2(X523,X524)),k3_yellow21(k5_waybel34(X523),esk36_2(X523,X524)))
| ~ m1_subset_1(esk35_2(X523,X524),u1_struct_0(X524))
| X524 = k9_waybel34(X523)
| v3_struct_0(X524)
| ~ v2_altcat_1(X524)
| ~ v6_altcat_1(X524)
| ~ v3_altcat_2(X524,k5_waybel34(X523))
| ~ m1_altcat_2(X524,k5_waybel34(X523))
| ~ epred1_1(X523) ) ),
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_54])])])])]) ).
fof(c_0_57,plain,
! [X1] :
( ~ v2_setfam_1(X1)
=> epred1_1(X1) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[d11_waybel34]),c_0_51]) ).
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_11]) ).
cnf(c_0_59,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_14]) ).
cnf(c_0_60,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(k5_waybel34(esk1_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_44]),c_0_30]) ).
cnf(c_0_61,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_14]) ).
cnf(c_0_62,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_56]) ).
fof(c_0_63,plain,
! [X317] :
( v2_setfam_1(X317)
| epred1_1(X317) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_57])]) ).
cnf(c_0_64,negated_conjecture,
( ~ v3_lattice3(esk2_0)
| ~ v1_orders_2(esk2_0)
| ~ m1_subset_1(esk2_0,u1_struct_0(k9_waybel34(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_48])]) ).
cnf(c_0_65,negated_conjecture,
v1_orders_2(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(spm,[status(thm)],[c_0_59,c_0_60]),c_0_21]),c_0_22]),c_0_23]),c_0_24]),c_0_25]),c_0_26])]),c_0_17]) ).
cnf(c_0_66,negated_conjecture,
v3_lattice3(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(spm,[status(thm)],[c_0_61,c_0_60]),c_0_21]),c_0_22]),c_0_23]),c_0_24]),c_0_25]),c_0_26])]),c_0_17]) ).
cnf(c_0_67,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_62]) ).
cnf(c_0_68,plain,
( v3_altcat_2(k9_waybel34(X1),k5_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_69,plain,
( v6_altcat_1(k9_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_70,plain,
( v2_altcat_1(k9_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_71,plain,
( v2_setfam_1(X1)
| epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_72,negated_conjecture,
~ m1_subset_1(esk2_0,u1_struct_0(k9_waybel34(esk1_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_65])]),c_0_66])]) ).
cnf(c_0_73,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_67,c_0_68]),c_0_69]),c_0_70]),c_0_35]),c_0_71]),c_0_39]) ).
cnf(c_0_74,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_60])]),c_0_17]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LAT374+2 : TPTP v9.2.1. Released v3.4.0.
% 0.00/0.11 % 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
% 0.14/0.32 % Computer : n020.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Mon May 4 21:44:51 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 9.13/8.31 % Version : CSE_E---1.7
% 9.13/8.31 % Problem : theBenchmark.p
% 9.13/8.31 % SZS status Theorem for theBenchmark.p
% 9.13/8.31 % SZS output start CNFRefutation
% See solution above
% 9.13/8.32 % Total time : 7.549s
%------------------------------------------------------------------------------