TSTP Solution File: LAT374+1 by E-SAT---3.1.00
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%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : LAT374+1 : TPTP v8.2.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n011.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 : Mon May 20 23:27:23 EDT 2024
% Result : Theorem 0.39s 0.89s
% Output : CNFRefutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 15
% Syntax : Number of formulae : 96 ( 19 unt; 0 def)
% Number of atoms : 661 ( 48 equ)
% Maximal formula atoms : 227 ( 6 avg)
% Number of connectives : 876 ( 311 ~; 381 |; 120 &)
% ( 13 <=>; 51 =>; 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 : 122 ( 0 sgn 82 !; 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/theBenchmark.p',cc2_setfam_1) ).
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(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(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/sandbox2/benchmark/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/sandbox2/benchmark/theBenchmark.p',dt_m1_altcat_2) ).
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(t3_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
<=> r1_tarski(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
fof(t4_subset,axiom,
! [X1,X2,X3] :
( ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3)) )
=> m1_subset_1(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(t2_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,X2)
=> ( v1_xboole_0(X2)
| r2_hidden(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(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(fc1_struct_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(dt_l1_altcat_1,axiom,
! [X1] :
( l1_altcat_1(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_altcat_1) ).
fof(dt_l2_altcat_1,axiom,
! [X1] :
( l2_altcat_1(X1)
=> l1_altcat_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l2_altcat_1) ).
fof(c_0_14,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_15,plain,
! [X1] :
( ~ v2_setfam_1(X1)
=> ~ v1_xboole_0(X1) ),
inference(fof_simplification,[status(thm)],[cc2_setfam_1]) ).
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]) ).
fof(c_0_17,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(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])])]) ).
fof(c_0_18,plain,
! [X61] :
( v2_setfam_1(X61)
| ~ v1_xboole_0(X61) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])]) ).
fof(c_0_19,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_20,plain,
! [X79,X80] :
( ( r1_tarski(u1_struct_0(X80),u1_struct_0(X79))
| ~ m1_altcat_2(X80,X79)
| ~ l2_altcat_1(X80)
| ~ l2_altcat_1(X79) )
& ( r2_altcat_2(k2_zfmisc_1(u1_struct_0(X80),u1_struct_0(X80)),k2_zfmisc_1(u1_struct_0(X79),u1_struct_0(X79)),u1_altcat_1(X80),u1_altcat_1(X79))
| ~ m1_altcat_2(X80,X79)
| ~ l2_altcat_1(X80)
| ~ l2_altcat_1(X79) )
& ( r2_altcat_2(k3_zfmisc_1(u1_struct_0(X80),u1_struct_0(X80),u1_struct_0(X80)),k3_zfmisc_1(u1_struct_0(X79),u1_struct_0(X79),u1_struct_0(X79)),u2_altcat_1(X80),u2_altcat_1(X79))
| ~ m1_altcat_2(X80,X79)
| ~ l2_altcat_1(X80)
| ~ l2_altcat_1(X79) )
& ( ~ r1_tarski(u1_struct_0(X80),u1_struct_0(X79))
| ~ r2_altcat_2(k2_zfmisc_1(u1_struct_0(X80),u1_struct_0(X80)),k2_zfmisc_1(u1_struct_0(X79),u1_struct_0(X79)),u1_altcat_1(X80),u1_altcat_1(X79))
| ~ r2_altcat_2(k3_zfmisc_1(u1_struct_0(X80),u1_struct_0(X80),u1_struct_0(X80)),k3_zfmisc_1(u1_struct_0(X79),u1_struct_0(X79),u1_struct_0(X79)),u2_altcat_1(X80),u2_altcat_1(X79))
| m1_altcat_2(X80,X79)
| ~ l2_altcat_1(X80)
| ~ l2_altcat_1(X79) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d11_altcat_2])])])])]) ).
fof(c_0_21,plain,
! [X109,X110] :
( ~ l2_altcat_1(X109)
| ~ m1_altcat_2(X110,X109)
| l2_altcat_1(X110) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m1_altcat_2])])])]) ).
fof(c_0_22,plain,
! [X105] :
( ( ~ v3_struct_0(k9_waybel34(X105))
| v2_setfam_1(X105) )
& ( v2_altcat_1(k9_waybel34(X105))
| v2_setfam_1(X105) )
& ( v6_altcat_1(k9_waybel34(X105))
| v2_setfam_1(X105) )
& ( v3_altcat_2(k9_waybel34(X105),k5_waybel34(X105))
| v2_setfam_1(X105) )
& ( m1_altcat_2(k9_waybel34(X105),k5_waybel34(X105))
| v2_setfam_1(X105) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])]) ).
cnf(c_0_23,negated_conjecture,
~ v2_setfam_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24,plain,
( v2_setfam_1(X1)
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_25,plain,
! [X100] :
( ( ~ v3_struct_0(k5_waybel34(X100))
| v1_xboole_0(X100) )
& ( v2_altcat_1(k5_waybel34(X100))
| v1_xboole_0(X100) )
& ( v6_altcat_1(k5_waybel34(X100))
| v1_xboole_0(X100) )
& ( v11_altcat_1(k5_waybel34(X100))
| v1_xboole_0(X100) )
& ( v12_altcat_1(k5_waybel34(X100))
| v1_xboole_0(X100) )
& ( v2_yellow21(k5_waybel34(X100))
| v1_xboole_0(X100) )
& ( l2_altcat_1(k5_waybel34(X100))
| v1_xboole_0(X100) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])]) ).
cnf(c_0_26,plain,
( r1_tarski(u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_altcat_2(X1,X2)
| ~ l2_altcat_1(X1)
| ~ l2_altcat_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_27,plain,
( l2_altcat_1(X2)
| ~ l2_altcat_1(X1)
| ~ m1_altcat_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_28,plain,
( m1_altcat_2(k9_waybel34(X1),k5_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_29,negated_conjecture,
~ v1_xboole_0(esk1_0),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_30,plain,
( l2_altcat_1(k5_waybel34(X1))
| v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_31,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_32,plain,
! [X215,X216] :
( ( ~ m1_subset_1(X215,k1_zfmisc_1(X216))
| r1_tarski(X215,X216) )
& ( ~ r1_tarski(X215,X216)
| m1_subset_1(X215,k1_zfmisc_1(X216)) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])])]) ).
cnf(c_0_33,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_26,c_0_27]) ).
cnf(c_0_34,negated_conjecture,
m1_altcat_2(k9_waybel34(esk1_0),k5_waybel34(esk1_0)),
inference(spm,[status(thm)],[c_0_23,c_0_28]) ).
cnf(c_0_35,negated_conjecture,
l2_altcat_1(k5_waybel34(esk1_0)),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
fof(c_0_36,plain,
! [X209,X210] :
( ( v1_orders_2(X210)
| ~ m1_subset_1(X210,u1_struct_0(k5_waybel34(X209)))
| ~ v2_orders_2(X210)
| ~ v3_orders_2(X210)
| ~ v4_orders_2(X210)
| ~ v1_lattice3(X210)
| ~ v2_lattice3(X210)
| ~ l1_orders_2(X210)
| v2_setfam_1(X209) )
& ( v3_lattice3(X210)
| ~ m1_subset_1(X210,u1_struct_0(k5_waybel34(X209)))
| ~ v2_orders_2(X210)
| ~ v3_orders_2(X210)
| ~ v4_orders_2(X210)
| ~ v1_lattice3(X210)
| ~ v2_lattice3(X210)
| ~ l1_orders_2(X210)
| v2_setfam_1(X209) )
& ( r2_hidden(u1_struct_0(X210),X209)
| ~ m1_subset_1(X210,u1_struct_0(k5_waybel34(X209)))
| ~ v2_orders_2(X210)
| ~ v3_orders_2(X210)
| ~ v4_orders_2(X210)
| ~ v1_lattice3(X210)
| ~ v2_lattice3(X210)
| ~ l1_orders_2(X210)
| v2_setfam_1(X209) )
& ( ~ v1_orders_2(X210)
| ~ v3_lattice3(X210)
| ~ r2_hidden(u1_struct_0(X210),X209)
| m1_subset_1(X210,u1_struct_0(k5_waybel34(X209)))
| ~ v2_orders_2(X210)
| ~ v3_orders_2(X210)
| ~ v4_orders_2(X210)
| ~ v1_lattice3(X210)
| ~ v2_lattice3(X210)
| ~ l1_orders_2(X210)
| v2_setfam_1(X209) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])])])]) ).
fof(c_0_37,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) ).
fof(c_0_38,plain,
! [X217,X218,X219] :
( ~ r2_hidden(X217,X218)
| ~ m1_subset_1(X218,k1_zfmisc_1(X219))
| m1_subset_1(X217,X219) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])])]) ).
cnf(c_0_39,plain,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_40,negated_conjecture,
r1_tarski(u1_struct_0(k9_waybel34(esk1_0)),u1_struct_0(k5_waybel34(esk1_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35])]) ).
fof(c_0_41,plain,
! [X213,X214] :
( ~ m1_subset_1(X213,X214)
| v1_xboole_0(X214)
| r2_hidden(X213,X214) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])])]) ).
cnf(c_0_42,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_36]) ).
cnf(c_0_43,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_17]) ).
cnf(c_0_44,negated_conjecture,
l1_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_45,negated_conjecture,
v2_lattice3(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_46,negated_conjecture,
v1_lattice3(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_47,negated_conjecture,
v4_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_48,negated_conjecture,
v3_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_49,negated_conjecture,
v2_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_50,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_17]) ).
cnf(c_0_51,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_17]) ).
fof(c_0_52,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_37]) ).
fof(c_0_53,plain,
! [X1] :
( ~ v2_setfam_1(X1)
=> epred1_1(X1) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[d11_waybel34]),c_0_37]) ).
cnf(c_0_54,plain,
( m1_subset_1(X1,X3)
| ~ r2_hidden(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_55,negated_conjecture,
m1_subset_1(u1_struct_0(k9_waybel34(esk1_0)),k1_zfmisc_1(u1_struct_0(k5_waybel34(esk1_0)))),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_56,plain,
( v1_xboole_0(X2)
| r2_hidden(X1,X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
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_42,c_0_43]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]),c_0_23]),c_0_50]),c_0_51]) ).
fof(c_0_58,plain,
! [X228,X229,X230,X231,X232,X233,X234,X235] :
( ( ~ m1_subset_1(X230,u1_struct_0(k5_waybel34(X228)))
| m1_subset_1(X230,u1_struct_0(X229))
| X229 != k9_waybel34(X228)
| v3_struct_0(X229)
| ~ v2_altcat_1(X229)
| ~ v6_altcat_1(X229)
| ~ v3_altcat_2(X229,k5_waybel34(X228))
| ~ m1_altcat_2(X229,k5_waybel34(X228))
| ~ epred1_1(X228) )
& ( ~ r2_hidden(X235,k1_altcat_1(X229,X233,X234))
| v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X228),X232),k3_yellow21(k5_waybel34(X228),X231),k5_yellow21(k5_waybel34(X228),X231,X232,X235)),k3_yellow21(k5_waybel34(X228),X232),k3_yellow21(k5_waybel34(X228),X231))
| ~ m1_subset_1(X235,k1_altcat_1(k5_waybel34(X228),X231,X232))
| k1_altcat_1(k5_waybel34(X228),X231,X232) = k1_xboole_0
| X233 != X231
| X234 != X232
| ~ m1_subset_1(X234,u1_struct_0(X229))
| ~ m1_subset_1(X233,u1_struct_0(X229))
| ~ m1_subset_1(X232,u1_struct_0(k5_waybel34(X228)))
| ~ m1_subset_1(X231,u1_struct_0(k5_waybel34(X228)))
| X229 != k9_waybel34(X228)
| v3_struct_0(X229)
| ~ v2_altcat_1(X229)
| ~ v6_altcat_1(X229)
| ~ v3_altcat_2(X229,k5_waybel34(X228))
| ~ m1_altcat_2(X229,k5_waybel34(X228))
| ~ epred1_1(X228) )
& ( ~ v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X228),X232),k3_yellow21(k5_waybel34(X228),X231),k5_yellow21(k5_waybel34(X228),X231,X232,X235)),k3_yellow21(k5_waybel34(X228),X232),k3_yellow21(k5_waybel34(X228),X231))
| r2_hidden(X235,k1_altcat_1(X229,X233,X234))
| ~ m1_subset_1(X235,k1_altcat_1(k5_waybel34(X228),X231,X232))
| k1_altcat_1(k5_waybel34(X228),X231,X232) = k1_xboole_0
| X233 != X231
| X234 != X232
| ~ m1_subset_1(X234,u1_struct_0(X229))
| ~ m1_subset_1(X233,u1_struct_0(X229))
| ~ m1_subset_1(X232,u1_struct_0(k5_waybel34(X228)))
| ~ m1_subset_1(X231,u1_struct_0(k5_waybel34(X228)))
| X229 != k9_waybel34(X228)
| v3_struct_0(X229)
| ~ v2_altcat_1(X229)
| ~ v6_altcat_1(X229)
| ~ v3_altcat_2(X229,k5_waybel34(X228))
| ~ m1_altcat_2(X229,k5_waybel34(X228))
| ~ epred1_1(X228) )
& ( m1_subset_1(esk32_2(X228,X229),u1_struct_0(k5_waybel34(X228)))
| m1_subset_1(esk31_2(X228,X229),u1_struct_0(k5_waybel34(X228)))
| X229 = k9_waybel34(X228)
| v3_struct_0(X229)
| ~ v2_altcat_1(X229)
| ~ v6_altcat_1(X229)
| ~ v3_altcat_2(X229,k5_waybel34(X228))
| ~ m1_altcat_2(X229,k5_waybel34(X228))
| ~ epred1_1(X228) )
& ( m1_subset_1(esk33_2(X228,X229),u1_struct_0(k5_waybel34(X228)))
| m1_subset_1(esk31_2(X228,X229),u1_struct_0(k5_waybel34(X228)))
| X229 = k9_waybel34(X228)
| v3_struct_0(X229)
| ~ v2_altcat_1(X229)
| ~ v6_altcat_1(X229)
| ~ v3_altcat_2(X229,k5_waybel34(X228))
| ~ m1_altcat_2(X229,k5_waybel34(X228))
| ~ epred1_1(X228) )
& ( m1_subset_1(esk34_2(X228,X229),u1_struct_0(X229))
| m1_subset_1(esk31_2(X228,X229),u1_struct_0(k5_waybel34(X228)))
| X229 = k9_waybel34(X228)
| v3_struct_0(X229)
| ~ v2_altcat_1(X229)
| ~ v6_altcat_1(X229)
| ~ v3_altcat_2(X229,k5_waybel34(X228))
| ~ m1_altcat_2(X229,k5_waybel34(X228))
| ~ epred1_1(X228) )
& ( m1_subset_1(esk35_2(X228,X229),u1_struct_0(X229))
| m1_subset_1(esk31_2(X228,X229),u1_struct_0(k5_waybel34(X228)))
| X229 = k9_waybel34(X228)
| v3_struct_0(X229)
| ~ v2_altcat_1(X229)
| ~ v6_altcat_1(X229)
| ~ v3_altcat_2(X229,k5_waybel34(X228))
| ~ m1_altcat_2(X229,k5_waybel34(X228))
| ~ epred1_1(X228) )
& ( esk34_2(X228,X229) = esk32_2(X228,X229)
| m1_subset_1(esk31_2(X228,X229),u1_struct_0(k5_waybel34(X228)))
| X229 = k9_waybel34(X228)
| v3_struct_0(X229)
| ~ v2_altcat_1(X229)
| ~ v6_altcat_1(X229)
| ~ v3_altcat_2(X229,k5_waybel34(X228))
| ~ m1_altcat_2(X229,k5_waybel34(X228))
| ~ epred1_1(X228) )
& ( esk35_2(X228,X229) = esk33_2(X228,X229)
| m1_subset_1(esk31_2(X228,X229),u1_struct_0(k5_waybel34(X228)))
| X229 = k9_waybel34(X228)
| v3_struct_0(X229)
| ~ v2_altcat_1(X229)
| ~ v6_altcat_1(X229)
| ~ v3_altcat_2(X229,k5_waybel34(X228))
| ~ m1_altcat_2(X229,k5_waybel34(X228))
| ~ epred1_1(X228) )
& ( k1_altcat_1(k5_waybel34(X228),esk32_2(X228,X229),esk33_2(X228,X229)) != k1_xboole_0
| m1_subset_1(esk31_2(X228,X229),u1_struct_0(k5_waybel34(X228)))
| X229 = k9_waybel34(X228)
| v3_struct_0(X229)
| ~ v2_altcat_1(X229)
| ~ v6_altcat_1(X229)
| ~ v3_altcat_2(X229,k5_waybel34(X228))
| ~ m1_altcat_2(X229,k5_waybel34(X228))
| ~ epred1_1(X228) )
& ( m1_subset_1(esk36_2(X228,X229),k1_altcat_1(k5_waybel34(X228),esk32_2(X228,X229),esk33_2(X228,X229)))
| m1_subset_1(esk31_2(X228,X229),u1_struct_0(k5_waybel34(X228)))
| X229 = k9_waybel34(X228)
| v3_struct_0(X229)
| ~ v2_altcat_1(X229)
| ~ v6_altcat_1(X229)
| ~ v3_altcat_2(X229,k5_waybel34(X228))
| ~ m1_altcat_2(X229,k5_waybel34(X228))
| ~ epred1_1(X228) )
& ( ~ r2_hidden(esk36_2(X228,X229),k1_altcat_1(X229,esk34_2(X228,X229),esk35_2(X228,X229)))
| ~ v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X228),esk33_2(X228,X229)),k3_yellow21(k5_waybel34(X228),esk32_2(X228,X229)),k5_yellow21(k5_waybel34(X228),esk32_2(X228,X229),esk33_2(X228,X229),esk36_2(X228,X229))),k3_yellow21(k5_waybel34(X228),esk33_2(X228,X229)),k3_yellow21(k5_waybel34(X228),esk32_2(X228,X229)))
| m1_subset_1(esk31_2(X228,X229),u1_struct_0(k5_waybel34(X228)))
| X229 = k9_waybel34(X228)
| v3_struct_0(X229)
| ~ v2_altcat_1(X229)
| ~ v6_altcat_1(X229)
| ~ v3_altcat_2(X229,k5_waybel34(X228))
| ~ m1_altcat_2(X229,k5_waybel34(X228))
| ~ epred1_1(X228) )
& ( r2_hidden(esk36_2(X228,X229),k1_altcat_1(X229,esk34_2(X228,X229),esk35_2(X228,X229)))
| v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X228),esk33_2(X228,X229)),k3_yellow21(k5_waybel34(X228),esk32_2(X228,X229)),k5_yellow21(k5_waybel34(X228),esk32_2(X228,X229),esk33_2(X228,X229),esk36_2(X228,X229))),k3_yellow21(k5_waybel34(X228),esk33_2(X228,X229)),k3_yellow21(k5_waybel34(X228),esk32_2(X228,X229)))
| m1_subset_1(esk31_2(X228,X229),u1_struct_0(k5_waybel34(X228)))
| X229 = k9_waybel34(X228)
| v3_struct_0(X229)
| ~ v2_altcat_1(X229)
| ~ v6_altcat_1(X229)
| ~ v3_altcat_2(X229,k5_waybel34(X228))
| ~ m1_altcat_2(X229,k5_waybel34(X228))
| ~ epred1_1(X228) )
& ( m1_subset_1(esk32_2(X228,X229),u1_struct_0(k5_waybel34(X228)))
| ~ m1_subset_1(esk31_2(X228,X229),u1_struct_0(X229))
| X229 = k9_waybel34(X228)
| v3_struct_0(X229)
| ~ v2_altcat_1(X229)
| ~ v6_altcat_1(X229)
| ~ v3_altcat_2(X229,k5_waybel34(X228))
| ~ m1_altcat_2(X229,k5_waybel34(X228))
| ~ epred1_1(X228) )
& ( m1_subset_1(esk33_2(X228,X229),u1_struct_0(k5_waybel34(X228)))
| ~ m1_subset_1(esk31_2(X228,X229),u1_struct_0(X229))
| X229 = k9_waybel34(X228)
| v3_struct_0(X229)
| ~ v2_altcat_1(X229)
| ~ v6_altcat_1(X229)
| ~ v3_altcat_2(X229,k5_waybel34(X228))
| ~ m1_altcat_2(X229,k5_waybel34(X228))
| ~ epred1_1(X228) )
& ( m1_subset_1(esk34_2(X228,X229),u1_struct_0(X229))
| ~ m1_subset_1(esk31_2(X228,X229),u1_struct_0(X229))
| X229 = k9_waybel34(X228)
| v3_struct_0(X229)
| ~ v2_altcat_1(X229)
| ~ v6_altcat_1(X229)
| ~ v3_altcat_2(X229,k5_waybel34(X228))
| ~ m1_altcat_2(X229,k5_waybel34(X228))
| ~ epred1_1(X228) )
& ( m1_subset_1(esk35_2(X228,X229),u1_struct_0(X229))
| ~ m1_subset_1(esk31_2(X228,X229),u1_struct_0(X229))
| X229 = k9_waybel34(X228)
| v3_struct_0(X229)
| ~ v2_altcat_1(X229)
| ~ v6_altcat_1(X229)
| ~ v3_altcat_2(X229,k5_waybel34(X228))
| ~ m1_altcat_2(X229,k5_waybel34(X228))
| ~ epred1_1(X228) )
& ( esk34_2(X228,X229) = esk32_2(X228,X229)
| ~ m1_subset_1(esk31_2(X228,X229),u1_struct_0(X229))
| X229 = k9_waybel34(X228)
| v3_struct_0(X229)
| ~ v2_altcat_1(X229)
| ~ v6_altcat_1(X229)
| ~ v3_altcat_2(X229,k5_waybel34(X228))
| ~ m1_altcat_2(X229,k5_waybel34(X228))
| ~ epred1_1(X228) )
& ( esk35_2(X228,X229) = esk33_2(X228,X229)
| ~ m1_subset_1(esk31_2(X228,X229),u1_struct_0(X229))
| X229 = k9_waybel34(X228)
| v3_struct_0(X229)
| ~ v2_altcat_1(X229)
| ~ v6_altcat_1(X229)
| ~ v3_altcat_2(X229,k5_waybel34(X228))
| ~ m1_altcat_2(X229,k5_waybel34(X228))
| ~ epred1_1(X228) )
& ( k1_altcat_1(k5_waybel34(X228),esk32_2(X228,X229),esk33_2(X228,X229)) != k1_xboole_0
| ~ m1_subset_1(esk31_2(X228,X229),u1_struct_0(X229))
| X229 = k9_waybel34(X228)
| v3_struct_0(X229)
| ~ v2_altcat_1(X229)
| ~ v6_altcat_1(X229)
| ~ v3_altcat_2(X229,k5_waybel34(X228))
| ~ m1_altcat_2(X229,k5_waybel34(X228))
| ~ epred1_1(X228) )
& ( m1_subset_1(esk36_2(X228,X229),k1_altcat_1(k5_waybel34(X228),esk32_2(X228,X229),esk33_2(X228,X229)))
| ~ m1_subset_1(esk31_2(X228,X229),u1_struct_0(X229))
| X229 = k9_waybel34(X228)
| v3_struct_0(X229)
| ~ v2_altcat_1(X229)
| ~ v6_altcat_1(X229)
| ~ v3_altcat_2(X229,k5_waybel34(X228))
| ~ m1_altcat_2(X229,k5_waybel34(X228))
| ~ epred1_1(X228) )
& ( ~ r2_hidden(esk36_2(X228,X229),k1_altcat_1(X229,esk34_2(X228,X229),esk35_2(X228,X229)))
| ~ v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X228),esk33_2(X228,X229)),k3_yellow21(k5_waybel34(X228),esk32_2(X228,X229)),k5_yellow21(k5_waybel34(X228),esk32_2(X228,X229),esk33_2(X228,X229),esk36_2(X228,X229))),k3_yellow21(k5_waybel34(X228),esk33_2(X228,X229)),k3_yellow21(k5_waybel34(X228),esk32_2(X228,X229)))
| ~ m1_subset_1(esk31_2(X228,X229),u1_struct_0(X229))
| X229 = k9_waybel34(X228)
| v3_struct_0(X229)
| ~ v2_altcat_1(X229)
| ~ v6_altcat_1(X229)
| ~ v3_altcat_2(X229,k5_waybel34(X228))
| ~ m1_altcat_2(X229,k5_waybel34(X228))
| ~ epred1_1(X228) )
& ( r2_hidden(esk36_2(X228,X229),k1_altcat_1(X229,esk34_2(X228,X229),esk35_2(X228,X229)))
| v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X228),esk33_2(X228,X229)),k3_yellow21(k5_waybel34(X228),esk32_2(X228,X229)),k5_yellow21(k5_waybel34(X228),esk32_2(X228,X229),esk33_2(X228,X229),esk36_2(X228,X229))),k3_yellow21(k5_waybel34(X228),esk33_2(X228,X229)),k3_yellow21(k5_waybel34(X228),esk32_2(X228,X229)))
| ~ m1_subset_1(esk31_2(X228,X229),u1_struct_0(X229))
| X229 = k9_waybel34(X228)
| v3_struct_0(X229)
| ~ v2_altcat_1(X229)
| ~ v6_altcat_1(X229)
| ~ v3_altcat_2(X229,k5_waybel34(X228))
| ~ m1_altcat_2(X229,k5_waybel34(X228))
| ~ epred1_1(X228) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_52])])])])])]) ).
fof(c_0_59,plain,
! [X81] :
( v2_setfam_1(X81)
| epred1_1(X81) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_53])]) ).
cnf(c_0_60,negated_conjecture,
( m1_subset_1(X1,u1_struct_0(k5_waybel34(esk1_0)))
| ~ r2_hidden(X1,u1_struct_0(k9_waybel34(esk1_0))) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_61,negated_conjecture,
( v1_xboole_0(u1_struct_0(k9_waybel34(esk1_0)))
| r2_hidden(esk2_0,u1_struct_0(k9_waybel34(esk1_0)))
| m1_subset_1(esk2_0,u1_struct_0(k5_waybel34(esk1_0))) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
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_58]) ).
cnf(c_0_63,plain,
( v2_altcat_1(k9_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_64,plain,
( v2_setfam_1(X1)
| epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_65,plain,
( v3_altcat_2(k9_waybel34(X1),k5_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_66,plain,
( v6_altcat_1(k9_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_67,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_36]) ).
cnf(c_0_68,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(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_69,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_36]) ).
cnf(c_0_70,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_36]) ).
fof(c_0_71,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[fc1_struct_0]) ).
cnf(c_0_72,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_73,negated_conjecture,
v2_altcat_1(k9_waybel34(esk1_0)),
inference(spm,[status(thm)],[c_0_23,c_0_63]) ).
cnf(c_0_74,negated_conjecture,
epred1_1(esk1_0),
inference(spm,[status(thm)],[c_0_23,c_0_64]) ).
cnf(c_0_75,negated_conjecture,
v3_altcat_2(k9_waybel34(esk1_0),k5_waybel34(esk1_0)),
inference(spm,[status(thm)],[c_0_23,c_0_65]) ).
cnf(c_0_76,negated_conjecture,
v6_altcat_1(k9_waybel34(esk1_0)),
inference(spm,[status(thm)],[c_0_23,c_0_66]) ).
cnf(c_0_77,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_17]) ).
cnf(c_0_78,negated_conjecture,
( v1_xboole_0(u1_struct_0(k9_waybel34(esk1_0)))
| 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_67,c_0_68]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]),c_0_23]) ).
cnf(c_0_79,negated_conjecture,
( v1_xboole_0(u1_struct_0(k9_waybel34(esk1_0)))
| 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_69,c_0_68]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]),c_0_23]) ).
cnf(c_0_80,negated_conjecture,
( v1_xboole_0(u1_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_70,c_0_68]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]),c_0_23]) ).
fof(c_0_81,plain,
! [X151] :
( v3_struct_0(X151)
| ~ l1_struct_0(X151)
| ~ v1_xboole_0(u1_struct_0(X151)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_71])])]) ).
cnf(c_0_82,negated_conjecture,
( v3_struct_0(k9_waybel34(esk1_0))
| m1_subset_1(X1,u1_struct_0(k9_waybel34(esk1_0)))
| ~ m1_subset_1(X1,u1_struct_0(k5_waybel34(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_74]),c_0_75]),c_0_34]),c_0_76])]) ).
cnf(c_0_83,negated_conjecture,
( v1_xboole_0(u1_struct_0(k9_waybel34(esk1_0)))
| ~ m1_subset_1(esk2_0,u1_struct_0(k9_waybel34(esk1_0))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_79]),c_0_80]) ).
fof(c_0_84,plain,
! [X106] :
( ~ l1_altcat_1(X106)
| l1_struct_0(X106) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_altcat_1])])]) ).
fof(c_0_85,plain,
! [X108] :
( ~ l2_altcat_1(X108)
| l1_altcat_1(X108) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l2_altcat_1])])]) ).
cnf(c_0_86,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_87,negated_conjecture,
( v1_xboole_0(u1_struct_0(k9_waybel34(esk1_0)))
| v3_struct_0(k9_waybel34(esk1_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_68]),c_0_83]) ).
cnf(c_0_88,plain,
( l1_struct_0(X1)
| ~ l1_altcat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_89,plain,
( l1_altcat_1(X1)
| ~ l2_altcat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_90,negated_conjecture,
( v3_struct_0(k9_waybel34(esk1_0))
| ~ l1_struct_0(k9_waybel34(esk1_0)) ),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_91,plain,
( l1_struct_0(X1)
| ~ l2_altcat_1(X1) ),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_92,negated_conjecture,
l2_altcat_1(k9_waybel34(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_34]),c_0_35])]) ).
cnf(c_0_93,plain,
( v2_setfam_1(X1)
| ~ v3_struct_0(k9_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_94,negated_conjecture,
v3_struct_0(k9_waybel34(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_92])]) ).
cnf(c_0_95,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_23]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT374+1 : TPTP v8.2.0. Released v3.4.0.
% 0.03/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n011.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun May 19 19:49:23 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.19/0.51 Running first-order model finding
% 0.19/0.51 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.39/0.89 # Version: 3.1.0
% 0.39/0.89 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.39/0.89 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.39/0.89 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.39/0.89 # Starting new_bool_3 with 300s (1) cores
% 0.39/0.89 # Starting new_bool_1 with 300s (1) cores
% 0.39/0.89 # Starting sh5l with 300s (1) cores
% 0.39/0.89 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 23474 completed with status 0
% 0.39/0.89 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.39/0.89 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.39/0.89 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.39/0.89 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.39/0.89 # No SInE strategy applied
% 0.39/0.89 # Search class: FGHSM-FSLM31-MFFFFFNN
% 0.39/0.89 # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.39/0.89 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 675s (1) cores
% 0.39/0.89 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.39/0.89 # Starting G-E--_207_B07_F1_AE_CS_SP_PI_PS_S0Y with 136s (1) cores
% 0.39/0.89 # Starting U----_116Y_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.39/0.89 # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 136s (1) cores
% 0.39/0.89 # G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with pid 23485 completed with status 0
% 0.39/0.89 # Result found by G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI
% 0.39/0.89 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.39/0.89 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.39/0.89 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.39/0.89 # No SInE strategy applied
% 0.39/0.89 # Search class: FGHSM-FSLM31-MFFFFFNN
% 0.39/0.89 # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.39/0.89 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 675s (1) cores
% 0.39/0.89 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.39/0.89 # Starting G-E--_207_B07_F1_AE_CS_SP_PI_PS_S0Y with 136s (1) cores
% 0.39/0.89 # Starting U----_116Y_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.39/0.89 # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 136s (1) cores
% 0.39/0.89 # Preprocessing time : 0.005 s
% 0.39/0.89
% 0.39/0.89 # Proof found!
% 0.39/0.89 # SZS status Theorem
% 0.39/0.89 # SZS output start CNFRefutation
% See solution above
% 0.39/0.89 # Parsed axioms : 138
% 0.39/0.89 # Removed by relevancy pruning/SinE : 0
% 0.39/0.89 # Initial clauses : 438
% 0.39/0.89 # Removed in clause preprocessing : 67
% 0.39/0.89 # Initial clauses in saturation : 371
% 0.39/0.89 # Processed clauses : 3441
% 0.39/0.89 # ...of these trivial : 68
% 0.39/0.89 # ...subsumed : 1081
% 0.39/0.89 # ...remaining for further processing : 2292
% 0.39/0.89 # Other redundant clauses eliminated : 7
% 0.39/0.89 # Clauses deleted for lack of memory : 0
% 0.39/0.89 # Backward-subsumed : 140
% 0.39/0.89 # Backward-rewritten : 135
% 0.39/0.89 # Generated clauses : 6956
% 0.39/0.89 # ...of the previous two non-redundant : 6655
% 0.39/0.89 # ...aggressively subsumed : 0
% 0.39/0.89 # Contextual simplify-reflections : 52
% 0.39/0.89 # Paramodulations : 6951
% 0.39/0.89 # Factorizations : 0
% 0.39/0.89 # NegExts : 0
% 0.39/0.89 # Equation resolutions : 9
% 0.39/0.89 # Disequality decompositions : 0
% 0.39/0.89 # Total rewrite steps : 3015
% 0.39/0.89 # ...of those cached : 2844
% 0.39/0.89 # Propositional unsat checks : 0
% 0.39/0.89 # Propositional check models : 0
% 0.39/0.89 # Propositional check unsatisfiable : 0
% 0.39/0.89 # Propositional clauses : 0
% 0.39/0.89 # Propositional clauses after purity: 0
% 0.39/0.89 # Propositional unsat core size : 0
% 0.39/0.89 # Propositional preprocessing time : 0.000
% 0.39/0.89 # Propositional encoding time : 0.000
% 0.39/0.89 # Propositional solver time : 0.000
% 0.39/0.89 # Success case prop preproc time : 0.000
% 0.39/0.89 # Success case prop encoding time : 0.000
% 0.39/0.89 # Success case prop solver time : 0.000
% 0.39/0.89 # Current number of processed clauses : 2014
% 0.39/0.89 # Positive orientable unit clauses : 439
% 0.39/0.89 # Positive unorientable unit clauses: 0
% 0.39/0.89 # Negative unit clauses : 17
% 0.39/0.89 # Non-unit-clauses : 1558
% 0.39/0.89 # Current number of unprocessed clauses: 3356
% 0.39/0.89 # ...number of literals in the above : 10232
% 0.39/0.89 # Current number of archived formulas : 0
% 0.39/0.89 # Current number of archived clauses : 275
% 0.39/0.89 # Clause-clause subsumption calls (NU) : 451445
% 0.39/0.89 # Rec. Clause-clause subsumption calls : 263377
% 0.39/0.89 # Non-unit clause-clause subsumptions : 1104
% 0.39/0.89 # Unit Clause-clause subsumption calls : 85962
% 0.39/0.89 # Rewrite failures with RHS unbound : 0
% 0.39/0.89 # BW rewrite match attempts : 536
% 0.39/0.89 # BW rewrite match successes : 9
% 0.39/0.89 # Condensation attempts : 0
% 0.39/0.89 # Condensation successes : 0
% 0.39/0.89 # Termbank termtop insertions : 133448
% 0.39/0.89 # Search garbage collected termcells : 4972
% 0.39/0.89
% 0.39/0.89 # -------------------------------------------------
% 0.39/0.89 # User time : 0.349 s
% 0.39/0.89 # System time : 0.011 s
% 0.39/0.89 # Total time : 0.361 s
% 0.39/0.89 # Maximum resident set size: 3040 pages
% 0.39/0.89
% 0.39/0.89 # -------------------------------------------------
% 0.39/0.89 # User time : 1.680 s
% 0.39/0.89 # System time : 0.055 s
% 0.39/0.89 # Total time : 1.735 s
% 0.39/0.89 # Maximum resident set size: 1876 pages
% 0.39/0.89 % E---3.1 exiting
%------------------------------------------------------------------------------