TSTP Solution File: LAT374+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : LAT374+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n016.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 : 600s
% DateTime : Sun Jul 17 04:48:04 EDT 2022
% Result : Theorem 0.24s 7.42s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 16
% Syntax : Number of formulae : 102 ( 17 unt; 0 def)
% Number of atoms : 682 ( 51 equ)
% Maximal formula atoms : 227 ( 6 avg)
% Number of connectives : 919 ( 339 ~; 420 |; 102 &)
% ( 12 <=>; 46 =>; 0 <=; 0 <~>)
% Maximal formula depth : 41 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 29 ( 27 usr; 1 prp; 0-4 aty)
% Number of functors : 21 ( 21 usr; 3 con; 0-4 aty)
% Number of variables : 135 ( 2 sgn 82 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d11_altcat_2,axiom,
! [X1] :
( l2_altcat_1(X1)
=> ! [X2] :
( l2_altcat_1(X2)
=> ( m1_altcat_2(X2,X1)
<=> ( r1_tarski(u1_struct_0(X2),u1_struct_0(X1))
& r2_altcat_2(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_altcat_1(X2),u1_altcat_1(X1))
& r2_altcat_2(k3_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2),u1_struct_0(X2)),k3_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1)),u2_altcat_1(X2),u2_altcat_1(X1)) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',d11_altcat_2) ).
fof(dt_m1_altcat_2,axiom,
! [X1] :
( l2_altcat_1(X1)
=> ! [X2] :
( m1_altcat_2(X2,X1)
=> l2_altcat_1(X2) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',dt_m1_altcat_2) ).
fof(t3_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
<=> r1_tarski(X1,X2) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t3_subset) ).
fof(t4_subset,axiom,
! [X1,X2,X3] :
( ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3)) )
=> m1_subset_1(X1,X3) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t4_subset) ).
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/sandbox/solver/bin/../tmp/theBenchmark.p',t49_waybel34) ).
fof(t2_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,X2)
=> ( v1_xboole_0(X2)
| r2_hidden(X1,X2) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t2_subset) ).
fof(t1_subset,axiom,
! [X1,X2] :
( r2_hidden(X1,X2)
=> m1_subset_1(X1,X2) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t1_subset) ).
fof(cc2_setfam_1,axiom,
! [X1] :
( ~ v2_setfam_1(X1)
=> ~ v1_xboole_0(X1) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',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/sandbox/solver/bin/../tmp/theBenchmark.p',t15_waybel34) ).
fof(dt_l1_altcat_1,axiom,
! [X1] :
( l1_altcat_1(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',dt_l1_altcat_1) ).
fof(dt_l2_altcat_1,axiom,
! [X1] :
( l2_altcat_1(X1)
=> l1_altcat_1(X1) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',dt_l2_altcat_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/sandbox/solver/bin/../tmp/theBenchmark.p',dt_k5_waybel34) ).
fof(fc1_struct_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fc1_struct_0) ).
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/sandbox/solver/bin/../tmp/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/sandbox/solver/bin/../tmp/theBenchmark.p',d11_waybel34) ).
fof(c_0_15,plain,
! [X3,X4] :
( ( r1_tarski(u1_struct_0(X4),u1_struct_0(X3))
| ~ m1_altcat_2(X4,X3)
| ~ l2_altcat_1(X4)
| ~ l2_altcat_1(X3) )
& ( r2_altcat_2(k2_zfmisc_1(u1_struct_0(X4),u1_struct_0(X4)),k2_zfmisc_1(u1_struct_0(X3),u1_struct_0(X3)),u1_altcat_1(X4),u1_altcat_1(X3))
| ~ m1_altcat_2(X4,X3)
| ~ l2_altcat_1(X4)
| ~ l2_altcat_1(X3) )
& ( r2_altcat_2(k3_zfmisc_1(u1_struct_0(X4),u1_struct_0(X4),u1_struct_0(X4)),k3_zfmisc_1(u1_struct_0(X3),u1_struct_0(X3),u1_struct_0(X3)),u2_altcat_1(X4),u2_altcat_1(X3))
| ~ m1_altcat_2(X4,X3)
| ~ l2_altcat_1(X4)
| ~ l2_altcat_1(X3) )
& ( ~ r1_tarski(u1_struct_0(X4),u1_struct_0(X3))
| ~ r2_altcat_2(k2_zfmisc_1(u1_struct_0(X4),u1_struct_0(X4)),k2_zfmisc_1(u1_struct_0(X3),u1_struct_0(X3)),u1_altcat_1(X4),u1_altcat_1(X3))
| ~ r2_altcat_2(k3_zfmisc_1(u1_struct_0(X4),u1_struct_0(X4),u1_struct_0(X4)),k3_zfmisc_1(u1_struct_0(X3),u1_struct_0(X3),u1_struct_0(X3)),u2_altcat_1(X4),u2_altcat_1(X3))
| m1_altcat_2(X4,X3)
| ~ l2_altcat_1(X4)
| ~ l2_altcat_1(X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d11_altcat_2])])])])])]) ).
fof(c_0_16,plain,
! [X3,X4] :
( ~ l2_altcat_1(X3)
| ~ m1_altcat_2(X4,X3)
| l2_altcat_1(X4) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m1_altcat_2])])])])]) ).
fof(c_0_17,plain,
! [X3,X4,X3,X4] :
( ( ~ m1_subset_1(X3,k1_zfmisc_1(X4))
| r1_tarski(X3,X4) )
& ( ~ r1_tarski(X3,X4)
| m1_subset_1(X3,k1_zfmisc_1(X4)) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])])])]) ).
cnf(c_0_18,plain,
( r1_tarski(u1_struct_0(X2),u1_struct_0(X1))
| ~ l2_altcat_1(X1)
| ~ l2_altcat_1(X2)
| ~ m1_altcat_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_19,plain,
( l2_altcat_1(X1)
| ~ m1_altcat_2(X1,X2)
| ~ l2_altcat_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_20,plain,
! [X4,X5,X6] :
( ~ r2_hidden(X4,X5)
| ~ m1_subset_1(X5,k1_zfmisc_1(X6))
| m1_subset_1(X4,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])]) ).
cnf(c_0_21,plain,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_22,plain,
( r1_tarski(u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_altcat_2(X1,X2)
| ~ l2_altcat_1(X2) ),
inference(csr,[status(thm)],[c_0_18,c_0_19]) ).
fof(c_0_23,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(assume_negation,[status(cth)],[t49_waybel34]) ).
cnf(c_0_24,plain,
( m1_subset_1(X1,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| ~ r2_hidden(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_25,plain,
( m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X2)))
| ~ m1_altcat_2(X1,X2)
| ~ l2_altcat_1(X2) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
fof(c_0_26,plain,
! [X3,X4] :
( ~ m1_subset_1(X3,X4)
| v1_xboole_0(X4)
| r2_hidden(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
fof(c_0_27,plain,
! [X3,X4] :
( ~ r2_hidden(X3,X4)
| m1_subset_1(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).
fof(c_0_28,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(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_23])])])])])])]) ).
fof(c_0_29,plain,
! [X2] :
( v2_setfam_1(X2)
| ~ v1_xboole_0(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[cc2_setfam_1])])]) ).
fof(c_0_30,plain,
! [X3,X4] :
( ( v1_orders_2(X4)
| ~ m1_subset_1(X4,u1_struct_0(k5_waybel34(X3)))
| ~ v2_orders_2(X4)
| ~ v3_orders_2(X4)
| ~ v4_orders_2(X4)
| ~ v1_lattice3(X4)
| ~ v2_lattice3(X4)
| ~ l1_orders_2(X4)
| v2_setfam_1(X3) )
& ( v3_lattice3(X4)
| ~ m1_subset_1(X4,u1_struct_0(k5_waybel34(X3)))
| ~ v2_orders_2(X4)
| ~ v3_orders_2(X4)
| ~ v4_orders_2(X4)
| ~ v1_lattice3(X4)
| ~ v2_lattice3(X4)
| ~ l1_orders_2(X4)
| v2_setfam_1(X3) )
& ( r2_hidden(u1_struct_0(X4),X3)
| ~ m1_subset_1(X4,u1_struct_0(k5_waybel34(X3)))
| ~ v2_orders_2(X4)
| ~ v3_orders_2(X4)
| ~ v4_orders_2(X4)
| ~ v1_lattice3(X4)
| ~ v2_lattice3(X4)
| ~ l1_orders_2(X4)
| v2_setfam_1(X3) )
& ( ~ v1_orders_2(X4)
| ~ v3_lattice3(X4)
| ~ r2_hidden(u1_struct_0(X4),X3)
| m1_subset_1(X4,u1_struct_0(k5_waybel34(X3)))
| ~ v2_orders_2(X4)
| ~ v3_orders_2(X4)
| ~ v4_orders_2(X4)
| ~ v1_lattice3(X4)
| ~ v2_lattice3(X4)
| ~ l1_orders_2(X4)
| v2_setfam_1(X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t15_waybel34])])])])])])]) ).
fof(c_0_31,plain,
! [X2] :
( ~ l1_altcat_1(X2)
| l1_struct_0(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_altcat_1])]) ).
fof(c_0_32,plain,
! [X2] :
( ~ l2_altcat_1(X2)
| l1_altcat_1(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l2_altcat_1])]) ).
cnf(c_0_33,plain,
( m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_altcat_2(X3,X2)
| ~ l2_altcat_1(X2)
| ~ r2_hidden(X1,u1_struct_0(X3)) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_34,plain,
( r2_hidden(X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_35,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_36,negated_conjecture,
( m1_subset_1(esk2_0,u1_struct_0(k9_waybel34(esk1_0)))
| r2_hidden(u1_struct_0(esk2_0),esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_37,negated_conjecture,
~ v2_setfam_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_38,plain,
( v2_setfam_1(X1)
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_39,plain,
! [X2] :
( ( ~ v3_struct_0(k5_waybel34(X2))
| v1_xboole_0(X2) )
& ( v2_altcat_1(k5_waybel34(X2))
| v1_xboole_0(X2) )
& ( v6_altcat_1(k5_waybel34(X2))
| v1_xboole_0(X2) )
& ( v11_altcat_1(k5_waybel34(X2))
| v1_xboole_0(X2) )
& ( v12_altcat_1(k5_waybel34(X2))
| v1_xboole_0(X2) )
& ( v2_yellow21(k5_waybel34(X2))
| v1_xboole_0(X2) )
& ( l2_altcat_1(k5_waybel34(X2))
| v1_xboole_0(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k5_waybel34])])])]) ).
cnf(c_0_40,plain,
( v2_setfam_1(X1)
| m1_subset_1(X2,u1_struct_0(k5_waybel34(X1)))
| ~ l1_orders_2(X2)
| ~ v2_lattice3(X2)
| ~ v1_lattice3(X2)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X2)
| ~ r2_hidden(u1_struct_0(X2),X1)
| ~ v3_lattice3(X2)
| ~ v1_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_41,negated_conjecture,
l1_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_42,negated_conjecture,
v2_lattice3(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_43,negated_conjecture,
v1_lattice3(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_44,negated_conjecture,
v4_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_45,negated_conjecture,
v3_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_46,negated_conjecture,
v2_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_47,negated_conjecture,
( m1_subset_1(esk2_0,u1_struct_0(k9_waybel34(esk1_0)))
| v1_orders_2(esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_48,negated_conjecture,
( m1_subset_1(esk2_0,u1_struct_0(k9_waybel34(esk1_0)))
| v3_lattice3(esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_49,plain,
! [X2] :
( v3_struct_0(X2)
| ~ l1_struct_0(X2)
| ~ v1_xboole_0(u1_struct_0(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fc1_struct_0])])]) ).
cnf(c_0_50,plain,
( l1_struct_0(X1)
| ~ l1_altcat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_51,plain,
( l1_altcat_1(X1)
| ~ l2_altcat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_52,plain,
( v1_xboole_0(u1_struct_0(X1))
| m1_subset_1(X2,u1_struct_0(X3))
| ~ m1_altcat_2(X1,X3)
| ~ l2_altcat_1(X3)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_53,negated_conjecture,
( m1_subset_1(esk2_0,u1_struct_0(k9_waybel34(esk1_0)))
| m1_subset_1(u1_struct_0(esk2_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
fof(c_0_54,plain,
! [X2] :
( ( ~ v3_struct_0(k9_waybel34(X2))
| v2_setfam_1(X2) )
& ( v2_altcat_1(k9_waybel34(X2))
| v2_setfam_1(X2) )
& ( v6_altcat_1(k9_waybel34(X2))
| v2_setfam_1(X2) )
& ( v3_altcat_2(k9_waybel34(X2),k5_waybel34(X2))
| v2_setfam_1(X2) )
& ( m1_altcat_2(k9_waybel34(X2),k5_waybel34(X2))
| v2_setfam_1(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k9_waybel34])])])]) ).
cnf(c_0_55,negated_conjecture,
~ v1_xboole_0(esk1_0),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_56,plain,
( v1_xboole_0(X1)
| l2_altcat_1(k5_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_57,negated_conjecture,
( m1_subset_1(esk2_0,u1_struct_0(k9_waybel34(esk1_0)))
| m1_subset_1(esk2_0,u1_struct_0(k5_waybel34(esk1_0))) ),
inference(csr,[status(thm)],[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_40,c_0_36]),c_0_41]),c_0_42]),c_0_43]),c_0_44]),c_0_45]),c_0_46])]),c_0_37]),c_0_47]),c_0_48]) ).
cnf(c_0_58,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_59,plain,
( l1_struct_0(X1)
| ~ l2_altcat_1(X1) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_60,negated_conjecture,
( v1_xboole_0(u1_struct_0(k9_waybel34(esk1_0)))
| m1_subset_1(u1_struct_0(esk2_0),esk1_0)
| 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_52,c_0_53]) ).
cnf(c_0_61,plain,
( v2_setfam_1(X1)
| m1_altcat_2(k9_waybel34(X1),k5_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_62,negated_conjecture,
l2_altcat_1(k5_waybel34(esk1_0)),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_63,plain,
( v2_setfam_1(X1)
| ~ v3_struct_0(k9_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
fof(c_0_64,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_65,negated_conjecture,
( v1_xboole_0(u1_struct_0(k9_waybel34(esk1_0)))
| m1_subset_1(esk2_0,u1_struct_0(k5_waybel34(esk1_0)))
| 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_52,c_0_57]) ).
cnf(c_0_66,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ l2_altcat_1(X1) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_67,negated_conjecture,
( v1_xboole_0(u1_struct_0(k9_waybel34(esk1_0)))
| m1_subset_1(esk2_0,u1_struct_0(k5_waybel34(esk1_0)))
| m1_subset_1(u1_struct_0(esk2_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62])]),c_0_37]) ).
cnf(c_0_68,negated_conjecture,
~ v3_struct_0(k9_waybel34(esk1_0)),
inference(spm,[status(thm)],[c_0_37,c_0_63]) ).
fof(c_0_69,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_64]) ).
cnf(c_0_70,negated_conjecture,
( v1_xboole_0(u1_struct_0(k9_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(spm,[status(thm)],[c_0_65,c_0_61]),c_0_62])]),c_0_37]) ).
cnf(c_0_71,negated_conjecture,
( m1_subset_1(esk2_0,u1_struct_0(k5_waybel34(esk1_0)))
| m1_subset_1(u1_struct_0(esk2_0),esk1_0)
| ~ l2_altcat_1(k9_waybel34(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68]) ).
cnf(c_0_72,plain,
( l2_altcat_1(k9_waybel34(X1))
| v2_setfam_1(X1)
| ~ l2_altcat_1(k5_waybel34(X1)) ),
inference(spm,[status(thm)],[c_0_19,c_0_61]) ).
fof(c_0_73,plain,
! [X8,X9,X10,X11,X12,X13,X14,X15] :
( ( ~ m1_subset_1(X10,u1_struct_0(k5_waybel34(X8)))
| m1_subset_1(X10,u1_struct_0(X9))
| X9 != k9_waybel34(X8)
| v3_struct_0(X9)
| ~ v2_altcat_1(X9)
| ~ v6_altcat_1(X9)
| ~ v3_altcat_2(X9,k5_waybel34(X8))
| ~ m1_altcat_2(X9,k5_waybel34(X8))
| ~ epred1_1(X8) )
& ( ~ r2_hidden(X15,k1_altcat_1(X9,X13,X14))
| v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X8),X12),k3_yellow21(k5_waybel34(X8),X11),k5_yellow21(k5_waybel34(X8),X11,X12,X15)),k3_yellow21(k5_waybel34(X8),X12),k3_yellow21(k5_waybel34(X8),X11))
| ~ m1_subset_1(X15,k1_altcat_1(k5_waybel34(X8),X11,X12))
| k1_altcat_1(k5_waybel34(X8),X11,X12) = k1_xboole_0
| X13 != X11
| X14 != X12
| ~ m1_subset_1(X14,u1_struct_0(X9))
| ~ m1_subset_1(X13,u1_struct_0(X9))
| ~ m1_subset_1(X12,u1_struct_0(k5_waybel34(X8)))
| ~ m1_subset_1(X11,u1_struct_0(k5_waybel34(X8)))
| X9 != k9_waybel34(X8)
| v3_struct_0(X9)
| ~ v2_altcat_1(X9)
| ~ v6_altcat_1(X9)
| ~ v3_altcat_2(X9,k5_waybel34(X8))
| ~ m1_altcat_2(X9,k5_waybel34(X8))
| ~ epred1_1(X8) )
& ( ~ v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X8),X12),k3_yellow21(k5_waybel34(X8),X11),k5_yellow21(k5_waybel34(X8),X11,X12,X15)),k3_yellow21(k5_waybel34(X8),X12),k3_yellow21(k5_waybel34(X8),X11))
| r2_hidden(X15,k1_altcat_1(X9,X13,X14))
| ~ m1_subset_1(X15,k1_altcat_1(k5_waybel34(X8),X11,X12))
| k1_altcat_1(k5_waybel34(X8),X11,X12) = k1_xboole_0
| X13 != X11
| X14 != X12
| ~ m1_subset_1(X14,u1_struct_0(X9))
| ~ m1_subset_1(X13,u1_struct_0(X9))
| ~ m1_subset_1(X12,u1_struct_0(k5_waybel34(X8)))
| ~ m1_subset_1(X11,u1_struct_0(k5_waybel34(X8)))
| X9 != k9_waybel34(X8)
| v3_struct_0(X9)
| ~ v2_altcat_1(X9)
| ~ v6_altcat_1(X9)
| ~ v3_altcat_2(X9,k5_waybel34(X8))
| ~ m1_altcat_2(X9,k5_waybel34(X8))
| ~ epred1_1(X8) )
& ( m1_subset_1(esk32_2(X8,X9),u1_struct_0(k5_waybel34(X8)))
| m1_subset_1(esk31_2(X8,X9),u1_struct_0(k5_waybel34(X8)))
| X9 = k9_waybel34(X8)
| v3_struct_0(X9)
| ~ v2_altcat_1(X9)
| ~ v6_altcat_1(X9)
| ~ v3_altcat_2(X9,k5_waybel34(X8))
| ~ m1_altcat_2(X9,k5_waybel34(X8))
| ~ epred1_1(X8) )
& ( m1_subset_1(esk33_2(X8,X9),u1_struct_0(k5_waybel34(X8)))
| m1_subset_1(esk31_2(X8,X9),u1_struct_0(k5_waybel34(X8)))
| X9 = k9_waybel34(X8)
| v3_struct_0(X9)
| ~ v2_altcat_1(X9)
| ~ v6_altcat_1(X9)
| ~ v3_altcat_2(X9,k5_waybel34(X8))
| ~ m1_altcat_2(X9,k5_waybel34(X8))
| ~ epred1_1(X8) )
& ( m1_subset_1(esk34_2(X8,X9),u1_struct_0(X9))
| m1_subset_1(esk31_2(X8,X9),u1_struct_0(k5_waybel34(X8)))
| X9 = k9_waybel34(X8)
| v3_struct_0(X9)
| ~ v2_altcat_1(X9)
| ~ v6_altcat_1(X9)
| ~ v3_altcat_2(X9,k5_waybel34(X8))
| ~ m1_altcat_2(X9,k5_waybel34(X8))
| ~ epred1_1(X8) )
& ( m1_subset_1(esk35_2(X8,X9),u1_struct_0(X9))
| m1_subset_1(esk31_2(X8,X9),u1_struct_0(k5_waybel34(X8)))
| X9 = k9_waybel34(X8)
| v3_struct_0(X9)
| ~ v2_altcat_1(X9)
| ~ v6_altcat_1(X9)
| ~ v3_altcat_2(X9,k5_waybel34(X8))
| ~ m1_altcat_2(X9,k5_waybel34(X8))
| ~ epred1_1(X8) )
& ( esk34_2(X8,X9) = esk32_2(X8,X9)
| m1_subset_1(esk31_2(X8,X9),u1_struct_0(k5_waybel34(X8)))
| X9 = k9_waybel34(X8)
| v3_struct_0(X9)
| ~ v2_altcat_1(X9)
| ~ v6_altcat_1(X9)
| ~ v3_altcat_2(X9,k5_waybel34(X8))
| ~ m1_altcat_2(X9,k5_waybel34(X8))
| ~ epred1_1(X8) )
& ( esk35_2(X8,X9) = esk33_2(X8,X9)
| m1_subset_1(esk31_2(X8,X9),u1_struct_0(k5_waybel34(X8)))
| X9 = k9_waybel34(X8)
| v3_struct_0(X9)
| ~ v2_altcat_1(X9)
| ~ v6_altcat_1(X9)
| ~ v3_altcat_2(X9,k5_waybel34(X8))
| ~ m1_altcat_2(X9,k5_waybel34(X8))
| ~ epred1_1(X8) )
& ( k1_altcat_1(k5_waybel34(X8),esk32_2(X8,X9),esk33_2(X8,X9)) != k1_xboole_0
| m1_subset_1(esk31_2(X8,X9),u1_struct_0(k5_waybel34(X8)))
| X9 = k9_waybel34(X8)
| v3_struct_0(X9)
| ~ v2_altcat_1(X9)
| ~ v6_altcat_1(X9)
| ~ v3_altcat_2(X9,k5_waybel34(X8))
| ~ m1_altcat_2(X9,k5_waybel34(X8))
| ~ epred1_1(X8) )
& ( m1_subset_1(esk36_2(X8,X9),k1_altcat_1(k5_waybel34(X8),esk32_2(X8,X9),esk33_2(X8,X9)))
| m1_subset_1(esk31_2(X8,X9),u1_struct_0(k5_waybel34(X8)))
| X9 = k9_waybel34(X8)
| v3_struct_0(X9)
| ~ v2_altcat_1(X9)
| ~ v6_altcat_1(X9)
| ~ v3_altcat_2(X9,k5_waybel34(X8))
| ~ m1_altcat_2(X9,k5_waybel34(X8))
| ~ epred1_1(X8) )
& ( ~ r2_hidden(esk36_2(X8,X9),k1_altcat_1(X9,esk34_2(X8,X9),esk35_2(X8,X9)))
| ~ v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X8),esk33_2(X8,X9)),k3_yellow21(k5_waybel34(X8),esk32_2(X8,X9)),k5_yellow21(k5_waybel34(X8),esk32_2(X8,X9),esk33_2(X8,X9),esk36_2(X8,X9))),k3_yellow21(k5_waybel34(X8),esk33_2(X8,X9)),k3_yellow21(k5_waybel34(X8),esk32_2(X8,X9)))
| m1_subset_1(esk31_2(X8,X9),u1_struct_0(k5_waybel34(X8)))
| X9 = k9_waybel34(X8)
| v3_struct_0(X9)
| ~ v2_altcat_1(X9)
| ~ v6_altcat_1(X9)
| ~ v3_altcat_2(X9,k5_waybel34(X8))
| ~ m1_altcat_2(X9,k5_waybel34(X8))
| ~ epred1_1(X8) )
& ( r2_hidden(esk36_2(X8,X9),k1_altcat_1(X9,esk34_2(X8,X9),esk35_2(X8,X9)))
| v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X8),esk33_2(X8,X9)),k3_yellow21(k5_waybel34(X8),esk32_2(X8,X9)),k5_yellow21(k5_waybel34(X8),esk32_2(X8,X9),esk33_2(X8,X9),esk36_2(X8,X9))),k3_yellow21(k5_waybel34(X8),esk33_2(X8,X9)),k3_yellow21(k5_waybel34(X8),esk32_2(X8,X9)))
| m1_subset_1(esk31_2(X8,X9),u1_struct_0(k5_waybel34(X8)))
| X9 = k9_waybel34(X8)
| v3_struct_0(X9)
| ~ v2_altcat_1(X9)
| ~ v6_altcat_1(X9)
| ~ v3_altcat_2(X9,k5_waybel34(X8))
| ~ m1_altcat_2(X9,k5_waybel34(X8))
| ~ epred1_1(X8) )
& ( m1_subset_1(esk32_2(X8,X9),u1_struct_0(k5_waybel34(X8)))
| ~ m1_subset_1(esk31_2(X8,X9),u1_struct_0(X9))
| X9 = k9_waybel34(X8)
| v3_struct_0(X9)
| ~ v2_altcat_1(X9)
| ~ v6_altcat_1(X9)
| ~ v3_altcat_2(X9,k5_waybel34(X8))
| ~ m1_altcat_2(X9,k5_waybel34(X8))
| ~ epred1_1(X8) )
& ( m1_subset_1(esk33_2(X8,X9),u1_struct_0(k5_waybel34(X8)))
| ~ m1_subset_1(esk31_2(X8,X9),u1_struct_0(X9))
| X9 = k9_waybel34(X8)
| v3_struct_0(X9)
| ~ v2_altcat_1(X9)
| ~ v6_altcat_1(X9)
| ~ v3_altcat_2(X9,k5_waybel34(X8))
| ~ m1_altcat_2(X9,k5_waybel34(X8))
| ~ epred1_1(X8) )
& ( m1_subset_1(esk34_2(X8,X9),u1_struct_0(X9))
| ~ m1_subset_1(esk31_2(X8,X9),u1_struct_0(X9))
| X9 = k9_waybel34(X8)
| v3_struct_0(X9)
| ~ v2_altcat_1(X9)
| ~ v6_altcat_1(X9)
| ~ v3_altcat_2(X9,k5_waybel34(X8))
| ~ m1_altcat_2(X9,k5_waybel34(X8))
| ~ epred1_1(X8) )
& ( m1_subset_1(esk35_2(X8,X9),u1_struct_0(X9))
| ~ m1_subset_1(esk31_2(X8,X9),u1_struct_0(X9))
| X9 = k9_waybel34(X8)
| v3_struct_0(X9)
| ~ v2_altcat_1(X9)
| ~ v6_altcat_1(X9)
| ~ v3_altcat_2(X9,k5_waybel34(X8))
| ~ m1_altcat_2(X9,k5_waybel34(X8))
| ~ epred1_1(X8) )
& ( esk34_2(X8,X9) = esk32_2(X8,X9)
| ~ m1_subset_1(esk31_2(X8,X9),u1_struct_0(X9))
| X9 = k9_waybel34(X8)
| v3_struct_0(X9)
| ~ v2_altcat_1(X9)
| ~ v6_altcat_1(X9)
| ~ v3_altcat_2(X9,k5_waybel34(X8))
| ~ m1_altcat_2(X9,k5_waybel34(X8))
| ~ epred1_1(X8) )
& ( esk35_2(X8,X9) = esk33_2(X8,X9)
| ~ m1_subset_1(esk31_2(X8,X9),u1_struct_0(X9))
| X9 = k9_waybel34(X8)
| v3_struct_0(X9)
| ~ v2_altcat_1(X9)
| ~ v6_altcat_1(X9)
| ~ v3_altcat_2(X9,k5_waybel34(X8))
| ~ m1_altcat_2(X9,k5_waybel34(X8))
| ~ epred1_1(X8) )
& ( k1_altcat_1(k5_waybel34(X8),esk32_2(X8,X9),esk33_2(X8,X9)) != k1_xboole_0
| ~ m1_subset_1(esk31_2(X8,X9),u1_struct_0(X9))
| X9 = k9_waybel34(X8)
| v3_struct_0(X9)
| ~ v2_altcat_1(X9)
| ~ v6_altcat_1(X9)
| ~ v3_altcat_2(X9,k5_waybel34(X8))
| ~ m1_altcat_2(X9,k5_waybel34(X8))
| ~ epred1_1(X8) )
& ( m1_subset_1(esk36_2(X8,X9),k1_altcat_1(k5_waybel34(X8),esk32_2(X8,X9),esk33_2(X8,X9)))
| ~ m1_subset_1(esk31_2(X8,X9),u1_struct_0(X9))
| X9 = k9_waybel34(X8)
| v3_struct_0(X9)
| ~ v2_altcat_1(X9)
| ~ v6_altcat_1(X9)
| ~ v3_altcat_2(X9,k5_waybel34(X8))
| ~ m1_altcat_2(X9,k5_waybel34(X8))
| ~ epred1_1(X8) )
& ( ~ r2_hidden(esk36_2(X8,X9),k1_altcat_1(X9,esk34_2(X8,X9),esk35_2(X8,X9)))
| ~ v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X8),esk33_2(X8,X9)),k3_yellow21(k5_waybel34(X8),esk32_2(X8,X9)),k5_yellow21(k5_waybel34(X8),esk32_2(X8,X9),esk33_2(X8,X9),esk36_2(X8,X9))),k3_yellow21(k5_waybel34(X8),esk33_2(X8,X9)),k3_yellow21(k5_waybel34(X8),esk32_2(X8,X9)))
| ~ m1_subset_1(esk31_2(X8,X9),u1_struct_0(X9))
| X9 = k9_waybel34(X8)
| v3_struct_0(X9)
| ~ v2_altcat_1(X9)
| ~ v6_altcat_1(X9)
| ~ v3_altcat_2(X9,k5_waybel34(X8))
| ~ m1_altcat_2(X9,k5_waybel34(X8))
| ~ epred1_1(X8) )
& ( r2_hidden(esk36_2(X8,X9),k1_altcat_1(X9,esk34_2(X8,X9),esk35_2(X8,X9)))
| v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X8),esk33_2(X8,X9)),k3_yellow21(k5_waybel34(X8),esk32_2(X8,X9)),k5_yellow21(k5_waybel34(X8),esk32_2(X8,X9),esk33_2(X8,X9),esk36_2(X8,X9))),k3_yellow21(k5_waybel34(X8),esk33_2(X8,X9)),k3_yellow21(k5_waybel34(X8),esk32_2(X8,X9)))
| ~ m1_subset_1(esk31_2(X8,X9),u1_struct_0(X9))
| X9 = k9_waybel34(X8)
| v3_struct_0(X9)
| ~ v2_altcat_1(X9)
| ~ v6_altcat_1(X9)
| ~ v3_altcat_2(X9,k5_waybel34(X8))
| ~ m1_altcat_2(X9,k5_waybel34(X8))
| ~ epred1_1(X8) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_69])])])])])])])]) ).
cnf(c_0_74,negated_conjecture,
( m1_subset_1(esk2_0,u1_struct_0(k5_waybel34(esk1_0)))
| ~ l2_altcat_1(k9_waybel34(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_70]),c_0_68]) ).
fof(c_0_75,axiom,
! [X1] :
( ~ v2_setfam_1(X1)
=> epred1_1(X1) ),
inference(apply_def,[status(thm)],[d11_waybel34,c_0_64]) ).
cnf(c_0_76,negated_conjecture,
( ~ r2_hidden(u1_struct_0(esk2_0),esk1_0)
| ~ v3_lattice3(esk2_0)
| ~ v1_orders_2(esk2_0)
| ~ m1_subset_1(esk2_0,u1_struct_0(k9_waybel34(esk1_0))) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_77,plain,
( v2_setfam_1(X1)
| r2_hidden(u1_struct_0(X2),X1)
| ~ l1_orders_2(X2)
| ~ v2_lattice3(X2)
| ~ v1_lattice3(X2)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X2)
| ~ m1_subset_1(X2,u1_struct_0(k5_waybel34(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_78,plain,
( v2_setfam_1(X1)
| v3_lattice3(X2)
| ~ l1_orders_2(X2)
| ~ v2_lattice3(X2)
| ~ v1_lattice3(X2)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X2)
| ~ m1_subset_1(X2,u1_struct_0(k5_waybel34(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_79,negated_conjecture,
( m1_subset_1(esk2_0,u1_struct_0(k5_waybel34(esk1_0)))
| m1_subset_1(u1_struct_0(esk2_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_62])]),c_0_37]) ).
cnf(c_0_80,plain,
( v2_setfam_1(X1)
| v1_orders_2(X2)
| ~ l1_orders_2(X2)
| ~ v2_lattice3(X2)
| ~ v1_lattice3(X2)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X2)
| ~ m1_subset_1(X2,u1_struct_0(k5_waybel34(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_81,plain,
( v3_struct_0(X2)
| m1_subset_1(X3,u1_struct_0(X2))
| ~ epred1_1(X1)
| ~ m1_altcat_2(X2,k5_waybel34(X1))
| ~ v3_altcat_2(X2,k5_waybel34(X1))
| ~ v6_altcat_1(X2)
| ~ v2_altcat_1(X2)
| X2 != k9_waybel34(X1)
| ~ m1_subset_1(X3,u1_struct_0(k5_waybel34(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_82,negated_conjecture,
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(spm,[status(thm)],[c_0_74,c_0_72]),c_0_62])]),c_0_37]) ).
fof(c_0_83,plain,
! [X2] :
( v2_setfam_1(X2)
| epred1_1(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_75])])]) ).
cnf(c_0_84,negated_conjecture,
( ~ v3_lattice3(esk2_0)
| ~ v1_orders_2(esk2_0)
| ~ m1_subset_1(esk2_0,u1_struct_0(k9_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(spm,[status(thm)],[c_0_76,c_0_77]),c_0_41]),c_0_42]),c_0_43]),c_0_44]),c_0_45]),c_0_46])]),c_0_37]) ).
cnf(c_0_85,negated_conjecture,
( v3_lattice3(esk2_0)
| m1_subset_1(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_78,c_0_79]),c_0_41]),c_0_42]),c_0_43]),c_0_44]),c_0_45]),c_0_46])]),c_0_37]) ).
cnf(c_0_86,negated_conjecture,
( v1_orders_2(esk2_0)
| m1_subset_1(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_80,c_0_79]),c_0_41]),c_0_42]),c_0_43]),c_0_44]),c_0_45]),c_0_46])]),c_0_37]) ).
cnf(c_0_87,plain,
( v3_struct_0(X1)
| m1_subset_1(esk2_0,u1_struct_0(X1))
| X1 != k9_waybel34(esk1_0)
| ~ epred1_1(esk1_0)
| ~ v3_altcat_2(X1,k5_waybel34(esk1_0))
| ~ m1_altcat_2(X1,k5_waybel34(esk1_0))
| ~ v2_altcat_1(X1)
| ~ v6_altcat_1(X1) ),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_88,plain,
( epred1_1(X1)
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_89,negated_conjecture,
( ~ v3_lattice3(esk2_0)
| ~ v1_orders_2(esk2_0)
| ~ m1_subset_1(esk2_0,u1_struct_0(k9_waybel34(esk1_0)))
| ~ m1_subset_1(u1_struct_0(esk2_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_34]),c_0_55]) ).
cnf(c_0_90,negated_conjecture,
m1_subset_1(u1_struct_0(esk2_0),esk1_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_79]),c_0_53]),c_0_86]) ).
cnf(c_0_91,plain,
( v3_struct_0(X1)
| m1_subset_1(esk2_0,u1_struct_0(X1))
| X1 != k9_waybel34(esk1_0)
| ~ v3_altcat_2(X1,k5_waybel34(esk1_0))
| ~ m1_altcat_2(X1,k5_waybel34(esk1_0))
| ~ v2_altcat_1(X1)
| ~ v6_altcat_1(X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_37]) ).
cnf(c_0_92,plain,
( v2_setfam_1(X1)
| v6_altcat_1(k9_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_93,plain,
( v2_setfam_1(X1)
| v2_altcat_1(k9_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_94,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_89,c_0_90])]) ).
cnf(c_0_95,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_80,c_0_82]),c_0_41]),c_0_42]),c_0_43]),c_0_44]),c_0_45]),c_0_46])]),c_0_37]) ).
cnf(c_0_96,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_78,c_0_82]),c_0_41]),c_0_42]),c_0_43]),c_0_44]),c_0_45]),c_0_46])]),c_0_37]) ).
cnf(c_0_97,plain,
( m1_subset_1(esk2_0,u1_struct_0(k9_waybel34(X1)))
| v2_setfam_1(X1)
| k9_waybel34(X1) != k9_waybel34(esk1_0)
| ~ v3_altcat_2(k9_waybel34(X1),k5_waybel34(esk1_0))
| ~ m1_altcat_2(k9_waybel34(X1),k5_waybel34(esk1_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_93]),c_0_63]) ).
cnf(c_0_98,plain,
( v2_setfam_1(X1)
| v3_altcat_2(k9_waybel34(X1),k5_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_99,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_94,c_0_95])]),c_0_96])]) ).
cnf(c_0_100,plain,
~ m1_altcat_2(k9_waybel34(esk1_0),k5_waybel34(esk1_0)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_99]),c_0_37]) ).
cnf(c_0_101,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_61]),c_0_37]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : LAT374+1 : TPTP v8.1.0. Released v3.4.0.
% 0.10/0.11 % Command : run_ET %s %d
% 0.11/0.32 % Computer : n016.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Wed Jun 29 05:22:23 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.24/7.42 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.24/7.42 # Preprocessing time : 0.033 s
% 0.24/7.42
% 0.24/7.42 # Proof found!
% 0.24/7.42 # SZS status Theorem
% 0.24/7.42 # SZS output start CNFRefutation
% See solution above
% 0.24/7.42 # Proof object total steps : 102
% 0.24/7.42 # Proof object clause steps : 67
% 0.24/7.42 # Proof object formula steps : 35
% 0.24/7.42 # Proof object conjectures : 36
% 0.24/7.42 # Proof object clause conjectures : 33
% 0.24/7.42 # Proof object formula conjectures : 3
% 0.24/7.42 # Proof object initial clauses used : 33
% 0.24/7.42 # Proof object initial formulas used : 15
% 0.24/7.42 # Proof object generating inferences : 31
% 0.24/7.42 # Proof object simplifying inferences : 81
% 0.24/7.42 # Training examples: 0 positive, 0 negative
% 0.24/7.42 # Parsed axioms : 138
% 0.24/7.42 # Removed by relevancy pruning/SinE : 0
% 0.24/7.42 # Initial clauses : 438
% 0.24/7.42 # Removed in clause preprocessing : 67
% 0.24/7.42 # Initial clauses in saturation : 371
% 0.24/7.42 # Processed clauses : 11037
% 0.24/7.42 # ...of these trivial : 8
% 0.24/7.42 # ...subsumed : 4438
% 0.24/7.42 # ...remaining for further processing : 6591
% 0.24/7.42 # Other redundant clauses eliminated : 169
% 0.24/7.42 # Clauses deleted for lack of memory : 221142
% 0.24/7.42 # Backward-subsumed : 263
% 0.24/7.42 # Backward-rewritten : 62
% 0.24/7.42 # Generated clauses : 334306
% 0.24/7.42 # ...of the previous two non-trivial : 332943
% 0.24/7.42 # Contextual simplify-reflections : 5006
% 0.24/7.42 # Paramodulations : 334099
% 0.24/7.42 # Factorizations : 8
% 0.24/7.42 # Equation resolutions : 198
% 0.24/7.42 # Current number of processed clauses : 6261
% 0.24/7.42 # Positive orientable unit clauses : 151
% 0.24/7.42 # Positive unorientable unit clauses: 0
% 0.24/7.42 # Negative unit clauses : 46
% 0.24/7.42 # Non-unit-clauses : 6064
% 0.24/7.42 # Current number of unprocessed clauses: 96977
% 0.24/7.42 # ...number of literals in the above : 667592
% 0.24/7.42 # Current number of archived formulas : 0
% 0.24/7.42 # Current number of archived clauses : 328
% 0.24/7.42 # Clause-clause subsumption calls (NU) : 16582744
% 0.24/7.42 # Rec. Clause-clause subsumption calls : 3982340
% 0.24/7.42 # Non-unit clause-clause subsumptions : 9373
% 0.24/7.42 # Unit Clause-clause subsumption calls : 19407
% 0.24/7.42 # Rewrite failures with RHS unbound : 0
% 0.24/7.42 # BW rewrite match attempts : 46
% 0.24/7.42 # BW rewrite match successes : 10
% 0.24/7.42 # Condensation attempts : 0
% 0.24/7.42 # Condensation successes : 0
% 0.24/7.42 # Termbank termtop insertions : 8163500
% 0.24/7.42
% 0.24/7.42 # -------------------------------------------------
% 0.24/7.42 # User time : 6.582 s
% 0.24/7.42 # System time : 0.097 s
% 0.24/7.42 # Total time : 6.679 s
% 0.24/7.42 # Maximum resident set size: 134552 pages
% 0.24/23.39 eprover: CPU time limit exceeded, terminating
% 0.24/23.39 eprover: CPU time limit exceeded, terminating
% 0.24/23.39 eprover: CPU time limit exceeded, terminating
% 0.24/23.40 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.40 eprover: No such file or directory
% 0.24/23.40 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.40 eprover: No such file or directory
% 0.24/23.41 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.41 eprover: No such file or directory
% 0.24/23.41 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.41 eprover: No such file or directory
% 0.24/23.41 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.41 eprover: No such file or directory
% 0.24/23.41 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.41 eprover: No such file or directory
% 0.24/23.41 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.41 eprover: No such file or directory
% 0.24/23.41 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.41 eprover: No such file or directory
% 0.24/23.41 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.41 eprover: No such file or directory
% 0.24/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.42 eprover: No such file or directory
% 0.24/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.42 eprover: No such file or directory
% 0.24/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.42 eprover: No such file or directory
% 0.24/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.42 eprover: No such file or directory
% 0.24/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.42 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.45 eprover: No such file or directory
%------------------------------------------------------------------------------