TSTP Solution File: LAT374+2 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : LAT374+2 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n027.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 18:11:02 EDT 2023
% Result : Theorem 28.21s 5.40s
% Output : CNFRefutation 28.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 8
% Syntax : Number of formulae : 79 ( 16 unt; 0 def)
% Number of atoms : 634 ( 49 equ)
% Maximal formula atoms : 227 ( 8 avg)
% Number of connectives : 860 ( 305 ~; 382 |; 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 : 90 ( 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/sandbox/tmp/tmp.aL2viXwsuy/E---3.1_25797.p',t49_waybel34) ).
fof(cc2_setfam_1,axiom,
! [X1] :
( ~ v2_setfam_1(X1)
=> ~ v1_xboole_0(X1) ),
file('/export/starexec/sandbox/tmp/tmp.aL2viXwsuy/E---3.1_25797.p',cc2_setfam_1) ).
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/sandbox/tmp/tmp.aL2viXwsuy/E---3.1_25797.p',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/sandbox/tmp/tmp.aL2viXwsuy/E---3.1_25797.p',dt_k5_waybel34) ).
fof(t15_waybel34,axiom,
! [X1] :
( ~ v2_setfam_1(X1)
=> ! [X2] :
( ( v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v1_lattice3(X2)
& v2_lattice3(X2)
& l1_orders_2(X2) )
=> ( m1_subset_1(X2,u1_struct_0(k5_waybel34(X1)))
<=> ( v1_orders_2(X2)
& v3_lattice3(X2)
& r2_hidden(u1_struct_0(X2),X1) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.aL2viXwsuy/E---3.1_25797.p',t15_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/sandbox/tmp/tmp.aL2viXwsuy/E---3.1_25797.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/tmp/tmp.aL2viXwsuy/E---3.1_25797.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] :
( ( ~ 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_10,negated_conjecture,
( ~ v2_setfam_1(esk1_0)
& v2_orders_2(esk2_0)
& v3_orders_2(esk2_0)
& v4_orders_2(esk2_0)
& v1_lattice3(esk2_0)
& v2_lattice3(esk2_0)
& l1_orders_2(esk2_0)
& ( ~ m1_subset_1(esk2_0,u1_struct_0(k9_waybel34(esk1_0)))
| ~ v1_orders_2(esk2_0)
| ~ v3_lattice3(esk2_0)
| ~ r2_hidden(u1_struct_0(esk2_0),esk1_0) )
& ( v1_orders_2(esk2_0)
| m1_subset_1(esk2_0,u1_struct_0(k9_waybel34(esk1_0))) )
& ( v3_lattice3(esk2_0)
| m1_subset_1(esk2_0,u1_struct_0(k9_waybel34(esk1_0))) )
& ( r2_hidden(u1_struct_0(esk2_0),esk1_0)
| m1_subset_1(esk2_0,u1_struct_0(k9_waybel34(esk1_0))) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])]) ).
fof(c_0_11,plain,
! [X65] :
( v2_setfam_1(X65)
| ~ v1_xboole_0(X65) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])]) ).
fof(c_0_12,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_13,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_14,plain,
! [X106,X107,X108] :
( v3_struct_0(X106)
| ~ l2_altcat_1(X106)
| v3_struct_0(X107)
| ~ m1_altcat_2(X107,X106)
| ~ m1_subset_1(X108,u1_struct_0(X107))
| m1_subset_1(X108,u1_struct_0(X106)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])]) ).
fof(c_0_15,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_16,negated_conjecture,
~ v2_setfam_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_17,plain,
( v2_setfam_1(X1)
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_18,plain,
! [X126] :
( ( ~ v3_struct_0(k5_waybel34(X126))
| v1_xboole_0(X126) )
& ( v2_altcat_1(k5_waybel34(X126))
| v1_xboole_0(X126) )
& ( v6_altcat_1(k5_waybel34(X126))
| v1_xboole_0(X126) )
& ( v11_altcat_1(k5_waybel34(X126))
| v1_xboole_0(X126) )
& ( v12_altcat_1(k5_waybel34(X126))
| v1_xboole_0(X126) )
& ( v2_yellow21(k5_waybel34(X126))
| v1_xboole_0(X126) )
& ( l2_altcat_1(k5_waybel34(X126))
| v1_xboole_0(X126) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])]) ).
fof(c_0_19,plain,
! [X134,X135] :
( ( v1_orders_2(X135)
| ~ m1_subset_1(X135,u1_struct_0(k5_waybel34(X134)))
| ~ v2_orders_2(X135)
| ~ v3_orders_2(X135)
| ~ v4_orders_2(X135)
| ~ v1_lattice3(X135)
| ~ v2_lattice3(X135)
| ~ l1_orders_2(X135)
| v2_setfam_1(X134) )
& ( v3_lattice3(X135)
| ~ m1_subset_1(X135,u1_struct_0(k5_waybel34(X134)))
| ~ v2_orders_2(X135)
| ~ v3_orders_2(X135)
| ~ v4_orders_2(X135)
| ~ v1_lattice3(X135)
| ~ v2_lattice3(X135)
| ~ l1_orders_2(X135)
| v2_setfam_1(X134) )
& ( r2_hidden(u1_struct_0(X135),X134)
| ~ m1_subset_1(X135,u1_struct_0(k5_waybel34(X134)))
| ~ v2_orders_2(X135)
| ~ v3_orders_2(X135)
| ~ v4_orders_2(X135)
| ~ v1_lattice3(X135)
| ~ v2_lattice3(X135)
| ~ l1_orders_2(X135)
| v2_setfam_1(X134) )
& ( ~ v1_orders_2(X135)
| ~ v3_lattice3(X135)
| ~ r2_hidden(u1_struct_0(X135),X134)
| m1_subset_1(X135,u1_struct_0(k5_waybel34(X134)))
| ~ v2_orders_2(X135)
| ~ v3_orders_2(X135)
| ~ v4_orders_2(X135)
| ~ v1_lattice3(X135)
| ~ v2_lattice3(X135)
| ~ l1_orders_2(X135)
| v2_setfam_1(X134) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])]) ).
cnf(c_0_20,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_14]) ).
cnf(c_0_21,negated_conjecture,
( r2_hidden(u1_struct_0(esk2_0),esk1_0)
| m1_subset_1(esk2_0,u1_struct_0(k9_waybel34(esk1_0))) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_22,plain,
! [X59] :
( ( ~ v3_struct_0(k9_waybel34(X59))
| v2_setfam_1(X59) )
& ( v2_altcat_1(k9_waybel34(X59))
| v2_setfam_1(X59) )
& ( v6_altcat_1(k9_waybel34(X59))
| v2_setfam_1(X59) )
& ( v3_altcat_2(k9_waybel34(X59),k5_waybel34(X59))
| v2_setfam_1(X59) )
& ( m1_altcat_2(k9_waybel34(X59),k5_waybel34(X59))
| v2_setfam_1(X59) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])]) ).
cnf(c_0_23,negated_conjecture,
~ v1_xboole_0(esk1_0),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_24,plain,
( v1_xboole_0(X1)
| ~ v3_struct_0(k5_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_25,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_19]) ).
cnf(c_0_26,negated_conjecture,
v2_lattice3(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_27,negated_conjecture,
v1_lattice3(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_28,negated_conjecture,
v4_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_29,negated_conjecture,
v3_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_30,negated_conjecture,
v2_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_31,negated_conjecture,
l1_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_32,negated_conjecture,
( v3_lattice3(esk2_0)
| m1_subset_1(esk2_0,u1_struct_0(k9_waybel34(esk1_0))) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_33,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_20,c_0_21]) ).
cnf(c_0_34,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_35,negated_conjecture,
~ v3_struct_0(k5_waybel34(esk1_0)),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_36,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_25,c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31])]) ).
cnf(c_0_37,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_20,c_0_32]) ).
cnf(c_0_38,plain,
( v2_setfam_1(X1)
| ~ v3_struct_0(k9_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_39,negated_conjecture,
( v3_struct_0(k9_waybel34(esk1_0))
| m1_subset_1(esk2_0,u1_struct_0(k5_waybel34(esk1_0)))
| r2_hidden(u1_struct_0(esk2_0),esk1_0)
| ~ l2_altcat_1(k5_waybel34(esk1_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]),c_0_16]) ).
cnf(c_0_40,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_16,c_0_36]) ).
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_37,c_0_34]),c_0_35]),c_0_16]) ).
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_10]) ).
cnf(c_0_43,negated_conjecture,
( 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(spm,[status(thm)],[c_0_38,c_0_39]),c_0_16]),c_0_40]) ).
cnf(c_0_44,plain,
( l2_altcat_1(k5_waybel34(X1))
| v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
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_38,c_0_41]),c_0_16]) ).
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_20,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_19]) ).
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_23]) ).
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_23]) ).
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_34]),c_0_35]),c_0_16]) ).
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_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31])]),c_0_16]),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_38,c_0_50]),c_0_16]) ).
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,
! [X266,X267,X268,X269,X270,X271,X272,X273] :
( ( ~ m1_subset_1(X268,u1_struct_0(k5_waybel34(X266)))
| m1_subset_1(X268,u1_struct_0(X267))
| X267 != k9_waybel34(X266)
| v3_struct_0(X267)
| ~ v2_altcat_1(X267)
| ~ v6_altcat_1(X267)
| ~ v3_altcat_2(X267,k5_waybel34(X266))
| ~ m1_altcat_2(X267,k5_waybel34(X266))
| ~ epred1_1(X266) )
& ( ~ r2_hidden(X273,k1_altcat_1(X267,X271,X272))
| v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X266),X270),k3_yellow21(k5_waybel34(X266),X269),k5_yellow21(k5_waybel34(X266),X269,X270,X273)),k3_yellow21(k5_waybel34(X266),X270),k3_yellow21(k5_waybel34(X266),X269))
| ~ m1_subset_1(X273,k1_altcat_1(k5_waybel34(X266),X269,X270))
| k1_altcat_1(k5_waybel34(X266),X269,X270) = k1_xboole_0
| X271 != X269
| X272 != X270
| ~ m1_subset_1(X272,u1_struct_0(X267))
| ~ m1_subset_1(X271,u1_struct_0(X267))
| ~ m1_subset_1(X270,u1_struct_0(k5_waybel34(X266)))
| ~ m1_subset_1(X269,u1_struct_0(k5_waybel34(X266)))
| X267 != k9_waybel34(X266)
| v3_struct_0(X267)
| ~ v2_altcat_1(X267)
| ~ v6_altcat_1(X267)
| ~ v3_altcat_2(X267,k5_waybel34(X266))
| ~ m1_altcat_2(X267,k5_waybel34(X266))
| ~ epred1_1(X266) )
& ( ~ v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X266),X270),k3_yellow21(k5_waybel34(X266),X269),k5_yellow21(k5_waybel34(X266),X269,X270,X273)),k3_yellow21(k5_waybel34(X266),X270),k3_yellow21(k5_waybel34(X266),X269))
| r2_hidden(X273,k1_altcat_1(X267,X271,X272))
| ~ m1_subset_1(X273,k1_altcat_1(k5_waybel34(X266),X269,X270))
| k1_altcat_1(k5_waybel34(X266),X269,X270) = k1_xboole_0
| X271 != X269
| X272 != X270
| ~ m1_subset_1(X272,u1_struct_0(X267))
| ~ m1_subset_1(X271,u1_struct_0(X267))
| ~ m1_subset_1(X270,u1_struct_0(k5_waybel34(X266)))
| ~ m1_subset_1(X269,u1_struct_0(k5_waybel34(X266)))
| X267 != k9_waybel34(X266)
| v3_struct_0(X267)
| ~ v2_altcat_1(X267)
| ~ v6_altcat_1(X267)
| ~ v3_altcat_2(X267,k5_waybel34(X266))
| ~ m1_altcat_2(X267,k5_waybel34(X266))
| ~ epred1_1(X266) )
& ( m1_subset_1(esk36_2(X266,X267),u1_struct_0(k5_waybel34(X266)))
| m1_subset_1(esk35_2(X266,X267),u1_struct_0(k5_waybel34(X266)))
| X267 = k9_waybel34(X266)
| v3_struct_0(X267)
| ~ v2_altcat_1(X267)
| ~ v6_altcat_1(X267)
| ~ v3_altcat_2(X267,k5_waybel34(X266))
| ~ m1_altcat_2(X267,k5_waybel34(X266))
| ~ epred1_1(X266) )
& ( m1_subset_1(esk37_2(X266,X267),u1_struct_0(k5_waybel34(X266)))
| m1_subset_1(esk35_2(X266,X267),u1_struct_0(k5_waybel34(X266)))
| X267 = k9_waybel34(X266)
| v3_struct_0(X267)
| ~ v2_altcat_1(X267)
| ~ v6_altcat_1(X267)
| ~ v3_altcat_2(X267,k5_waybel34(X266))
| ~ m1_altcat_2(X267,k5_waybel34(X266))
| ~ epred1_1(X266) )
& ( m1_subset_1(esk38_2(X266,X267),u1_struct_0(X267))
| m1_subset_1(esk35_2(X266,X267),u1_struct_0(k5_waybel34(X266)))
| X267 = k9_waybel34(X266)
| v3_struct_0(X267)
| ~ v2_altcat_1(X267)
| ~ v6_altcat_1(X267)
| ~ v3_altcat_2(X267,k5_waybel34(X266))
| ~ m1_altcat_2(X267,k5_waybel34(X266))
| ~ epred1_1(X266) )
& ( m1_subset_1(esk39_2(X266,X267),u1_struct_0(X267))
| m1_subset_1(esk35_2(X266,X267),u1_struct_0(k5_waybel34(X266)))
| X267 = k9_waybel34(X266)
| v3_struct_0(X267)
| ~ v2_altcat_1(X267)
| ~ v6_altcat_1(X267)
| ~ v3_altcat_2(X267,k5_waybel34(X266))
| ~ m1_altcat_2(X267,k5_waybel34(X266))
| ~ epred1_1(X266) )
& ( esk38_2(X266,X267) = esk36_2(X266,X267)
| m1_subset_1(esk35_2(X266,X267),u1_struct_0(k5_waybel34(X266)))
| X267 = k9_waybel34(X266)
| v3_struct_0(X267)
| ~ v2_altcat_1(X267)
| ~ v6_altcat_1(X267)
| ~ v3_altcat_2(X267,k5_waybel34(X266))
| ~ m1_altcat_2(X267,k5_waybel34(X266))
| ~ epred1_1(X266) )
& ( esk39_2(X266,X267) = esk37_2(X266,X267)
| m1_subset_1(esk35_2(X266,X267),u1_struct_0(k5_waybel34(X266)))
| X267 = k9_waybel34(X266)
| v3_struct_0(X267)
| ~ v2_altcat_1(X267)
| ~ v6_altcat_1(X267)
| ~ v3_altcat_2(X267,k5_waybel34(X266))
| ~ m1_altcat_2(X267,k5_waybel34(X266))
| ~ epred1_1(X266) )
& ( k1_altcat_1(k5_waybel34(X266),esk36_2(X266,X267),esk37_2(X266,X267)) != k1_xboole_0
| m1_subset_1(esk35_2(X266,X267),u1_struct_0(k5_waybel34(X266)))
| X267 = k9_waybel34(X266)
| v3_struct_0(X267)
| ~ v2_altcat_1(X267)
| ~ v6_altcat_1(X267)
| ~ v3_altcat_2(X267,k5_waybel34(X266))
| ~ m1_altcat_2(X267,k5_waybel34(X266))
| ~ epred1_1(X266) )
& ( m1_subset_1(esk40_2(X266,X267),k1_altcat_1(k5_waybel34(X266),esk36_2(X266,X267),esk37_2(X266,X267)))
| m1_subset_1(esk35_2(X266,X267),u1_struct_0(k5_waybel34(X266)))
| X267 = k9_waybel34(X266)
| v3_struct_0(X267)
| ~ v2_altcat_1(X267)
| ~ v6_altcat_1(X267)
| ~ v3_altcat_2(X267,k5_waybel34(X266))
| ~ m1_altcat_2(X267,k5_waybel34(X266))
| ~ epred1_1(X266) )
& ( ~ r2_hidden(esk40_2(X266,X267),k1_altcat_1(X267,esk38_2(X266,X267),esk39_2(X266,X267)))
| ~ v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X266),esk37_2(X266,X267)),k3_yellow21(k5_waybel34(X266),esk36_2(X266,X267)),k5_yellow21(k5_waybel34(X266),esk36_2(X266,X267),esk37_2(X266,X267),esk40_2(X266,X267))),k3_yellow21(k5_waybel34(X266),esk37_2(X266,X267)),k3_yellow21(k5_waybel34(X266),esk36_2(X266,X267)))
| m1_subset_1(esk35_2(X266,X267),u1_struct_0(k5_waybel34(X266)))
| X267 = k9_waybel34(X266)
| v3_struct_0(X267)
| ~ v2_altcat_1(X267)
| ~ v6_altcat_1(X267)
| ~ v3_altcat_2(X267,k5_waybel34(X266))
| ~ m1_altcat_2(X267,k5_waybel34(X266))
| ~ epred1_1(X266) )
& ( r2_hidden(esk40_2(X266,X267),k1_altcat_1(X267,esk38_2(X266,X267),esk39_2(X266,X267)))
| v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X266),esk37_2(X266,X267)),k3_yellow21(k5_waybel34(X266),esk36_2(X266,X267)),k5_yellow21(k5_waybel34(X266),esk36_2(X266,X267),esk37_2(X266,X267),esk40_2(X266,X267))),k3_yellow21(k5_waybel34(X266),esk37_2(X266,X267)),k3_yellow21(k5_waybel34(X266),esk36_2(X266,X267)))
| m1_subset_1(esk35_2(X266,X267),u1_struct_0(k5_waybel34(X266)))
| X267 = k9_waybel34(X266)
| v3_struct_0(X267)
| ~ v2_altcat_1(X267)
| ~ v6_altcat_1(X267)
| ~ v3_altcat_2(X267,k5_waybel34(X266))
| ~ m1_altcat_2(X267,k5_waybel34(X266))
| ~ epred1_1(X266) )
& ( m1_subset_1(esk36_2(X266,X267),u1_struct_0(k5_waybel34(X266)))
| ~ m1_subset_1(esk35_2(X266,X267),u1_struct_0(X267))
| X267 = k9_waybel34(X266)
| v3_struct_0(X267)
| ~ v2_altcat_1(X267)
| ~ v6_altcat_1(X267)
| ~ v3_altcat_2(X267,k5_waybel34(X266))
| ~ m1_altcat_2(X267,k5_waybel34(X266))
| ~ epred1_1(X266) )
& ( m1_subset_1(esk37_2(X266,X267),u1_struct_0(k5_waybel34(X266)))
| ~ m1_subset_1(esk35_2(X266,X267),u1_struct_0(X267))
| X267 = k9_waybel34(X266)
| v3_struct_0(X267)
| ~ v2_altcat_1(X267)
| ~ v6_altcat_1(X267)
| ~ v3_altcat_2(X267,k5_waybel34(X266))
| ~ m1_altcat_2(X267,k5_waybel34(X266))
| ~ epred1_1(X266) )
& ( m1_subset_1(esk38_2(X266,X267),u1_struct_0(X267))
| ~ m1_subset_1(esk35_2(X266,X267),u1_struct_0(X267))
| X267 = k9_waybel34(X266)
| v3_struct_0(X267)
| ~ v2_altcat_1(X267)
| ~ v6_altcat_1(X267)
| ~ v3_altcat_2(X267,k5_waybel34(X266))
| ~ m1_altcat_2(X267,k5_waybel34(X266))
| ~ epred1_1(X266) )
& ( m1_subset_1(esk39_2(X266,X267),u1_struct_0(X267))
| ~ m1_subset_1(esk35_2(X266,X267),u1_struct_0(X267))
| X267 = k9_waybel34(X266)
| v3_struct_0(X267)
| ~ v2_altcat_1(X267)
| ~ v6_altcat_1(X267)
| ~ v3_altcat_2(X267,k5_waybel34(X266))
| ~ m1_altcat_2(X267,k5_waybel34(X266))
| ~ epred1_1(X266) )
& ( esk38_2(X266,X267) = esk36_2(X266,X267)
| ~ m1_subset_1(esk35_2(X266,X267),u1_struct_0(X267))
| X267 = k9_waybel34(X266)
| v3_struct_0(X267)
| ~ v2_altcat_1(X267)
| ~ v6_altcat_1(X267)
| ~ v3_altcat_2(X267,k5_waybel34(X266))
| ~ m1_altcat_2(X267,k5_waybel34(X266))
| ~ epred1_1(X266) )
& ( esk39_2(X266,X267) = esk37_2(X266,X267)
| ~ m1_subset_1(esk35_2(X266,X267),u1_struct_0(X267))
| X267 = k9_waybel34(X266)
| v3_struct_0(X267)
| ~ v2_altcat_1(X267)
| ~ v6_altcat_1(X267)
| ~ v3_altcat_2(X267,k5_waybel34(X266))
| ~ m1_altcat_2(X267,k5_waybel34(X266))
| ~ epred1_1(X266) )
& ( k1_altcat_1(k5_waybel34(X266),esk36_2(X266,X267),esk37_2(X266,X267)) != k1_xboole_0
| ~ m1_subset_1(esk35_2(X266,X267),u1_struct_0(X267))
| X267 = k9_waybel34(X266)
| v3_struct_0(X267)
| ~ v2_altcat_1(X267)
| ~ v6_altcat_1(X267)
| ~ v3_altcat_2(X267,k5_waybel34(X266))
| ~ m1_altcat_2(X267,k5_waybel34(X266))
| ~ epred1_1(X266) )
& ( m1_subset_1(esk40_2(X266,X267),k1_altcat_1(k5_waybel34(X266),esk36_2(X266,X267),esk37_2(X266,X267)))
| ~ m1_subset_1(esk35_2(X266,X267),u1_struct_0(X267))
| X267 = k9_waybel34(X266)
| v3_struct_0(X267)
| ~ v2_altcat_1(X267)
| ~ v6_altcat_1(X267)
| ~ v3_altcat_2(X267,k5_waybel34(X266))
| ~ m1_altcat_2(X267,k5_waybel34(X266))
| ~ epred1_1(X266) )
& ( ~ r2_hidden(esk40_2(X266,X267),k1_altcat_1(X267,esk38_2(X266,X267),esk39_2(X266,X267)))
| ~ v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X266),esk37_2(X266,X267)),k3_yellow21(k5_waybel34(X266),esk36_2(X266,X267)),k5_yellow21(k5_waybel34(X266),esk36_2(X266,X267),esk37_2(X266,X267),esk40_2(X266,X267))),k3_yellow21(k5_waybel34(X266),esk37_2(X266,X267)),k3_yellow21(k5_waybel34(X266),esk36_2(X266,X267)))
| ~ m1_subset_1(esk35_2(X266,X267),u1_struct_0(X267))
| X267 = k9_waybel34(X266)
| v3_struct_0(X267)
| ~ v2_altcat_1(X267)
| ~ v6_altcat_1(X267)
| ~ v3_altcat_2(X267,k5_waybel34(X266))
| ~ m1_altcat_2(X267,k5_waybel34(X266))
| ~ epred1_1(X266) )
& ( r2_hidden(esk40_2(X266,X267),k1_altcat_1(X267,esk38_2(X266,X267),esk39_2(X266,X267)))
| v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X266),esk37_2(X266,X267)),k3_yellow21(k5_waybel34(X266),esk36_2(X266,X267)),k5_yellow21(k5_waybel34(X266),esk36_2(X266,X267),esk37_2(X266,X267),esk40_2(X266,X267))),k3_yellow21(k5_waybel34(X266),esk37_2(X266,X267)),k3_yellow21(k5_waybel34(X266),esk36_2(X266,X267)))
| ~ m1_subset_1(esk35_2(X266,X267),u1_struct_0(X267))
| X267 = k9_waybel34(X266)
| v3_struct_0(X267)
| ~ v2_altcat_1(X267)
| ~ v6_altcat_1(X267)
| ~ v3_altcat_2(X267,k5_waybel34(X266))
| ~ m1_altcat_2(X267,k5_waybel34(X266))
| ~ epred1_1(X266) ) ),
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])])])])]) ).
cnf(c_0_57,negated_conjecture,
( ~ m1_subset_1(esk2_0,u1_struct_0(k9_waybel34(esk1_0)))
| ~ v1_orders_2(esk2_0)
| ~ v3_lattice3(esk2_0)
| ~ r2_hidden(u1_struct_0(esk2_0),esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_58,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_19]) ).
cnf(c_0_59,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_23]) ).
cnf(c_0_60,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_19]) ).
cnf(c_0_61,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]) ).
cnf(c_0_62,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_57,c_0_48])]) ).
cnf(c_0_63,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_58,c_0_59]),c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31])]),c_0_16]) ).
cnf(c_0_64,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_60,c_0_59]),c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31])]),c_0_16]) ).
cnf(c_0_65,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_61,c_0_59]) ).
cnf(c_0_66,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_67,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_62,c_0_63])]),c_0_64])]) ).
cnf(c_0_68,plain,
( v3_struct_0(k9_waybel34(esk1_0))
| ~ epred1_1(esk1_0)
| ~ m1_altcat_2(k9_waybel34(esk1_0),k5_waybel34(esk1_0))
| ~ v2_altcat_1(k9_waybel34(esk1_0))
| ~ v6_altcat_1(k9_waybel34(esk1_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67]),c_0_16]) ).
cnf(c_0_69,plain,
( v3_struct_0(k9_waybel34(esk1_0))
| ~ epred1_1(esk1_0)
| ~ v2_altcat_1(k9_waybel34(esk1_0))
| ~ v6_altcat_1(k9_waybel34(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_34]),c_0_16]) ).
cnf(c_0_70,plain,
( v6_altcat_1(k9_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_71,plain,
( v3_struct_0(k9_waybel34(esk1_0))
| ~ epred1_1(esk1_0)
| ~ v2_altcat_1(k9_waybel34(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_16]) ).
cnf(c_0_72,plain,
( v2_altcat_1(k9_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_73,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_74,plain,
( v3_struct_0(k9_waybel34(esk1_0))
| ~ epred1_1(esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_16]) ).
fof(c_0_75,plain,
! [X60] :
( v2_setfam_1(X60)
| epred1_1(X60) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_73])]) ).
cnf(c_0_76,plain,
~ epred1_1(esk1_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_74]),c_0_16]) ).
cnf(c_0_77,plain,
( v2_setfam_1(X1)
| epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_78,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_16]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : LAT374+2 : TPTP v8.1.2. Released v3.4.0.
% 0.09/0.11 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n027.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 : 2400
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon Oct 2 11:00:31 EDT 2023
% 0.11/0.32 % CPUTime :
% 1.31/1.52 Running first-order model finding
% 1.31/1.52 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.aL2viXwsuy/E---3.1_25797.p
% 28.21/5.40 # Version: 3.1pre001
% 28.21/5.40 # Preprocessing class: FMLLSMLLSSSNFFN.
% 28.21/5.40 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 28.21/5.40 # Starting new_bool_3 with 900s (3) cores
% 28.21/5.40 # Starting new_bool_1 with 900s (3) cores
% 28.21/5.40 # Starting sh5l with 300s (1) cores
% 28.21/5.40 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 28.21/5.40 # G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with pid 25877 completed with status 0
% 28.21/5.40 # Result found by G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y
% 28.21/5.40 # Preprocessing class: FMLLSMLLSSSNFFN.
% 28.21/5.40 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 28.21/5.40 # Starting new_bool_3 with 900s (3) cores
% 28.21/5.40 # Starting new_bool_1 with 900s (3) cores
% 28.21/5.40 # Starting sh5l with 300s (1) cores
% 28.21/5.40 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 28.21/5.40 # SinE strategy is gf120_gu_R02_F100_L20000
% 28.21/5.40 # Search class: FGHSM-FSLM32-MFFFFFNN
% 28.21/5.40 # Scheduled 12 strats onto 1 cores with 300 seconds (300 total)
% 28.21/5.40 # Starting G-E--_303_C18_F1_URBAN_S0Y with 25s (1) cores
% 28.21/5.40 # G-E--_303_C18_F1_URBAN_S0Y with pid 25878 completed with status 0
% 28.21/5.40 # Result found by G-E--_303_C18_F1_URBAN_S0Y
% 28.21/5.40 # Preprocessing class: FMLLSMLLSSSNFFN.
% 28.21/5.40 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 28.21/5.40 # Starting new_bool_3 with 900s (3) cores
% 28.21/5.40 # Starting new_bool_1 with 900s (3) cores
% 28.21/5.40 # Starting sh5l with 300s (1) cores
% 28.21/5.40 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 28.21/5.40 # SinE strategy is gf120_gu_R02_F100_L20000
% 28.21/5.40 # Search class: FGHSM-FSLM32-MFFFFFNN
% 28.21/5.40 # Scheduled 12 strats onto 1 cores with 300 seconds (300 total)
% 28.21/5.40 # Starting G-E--_303_C18_F1_URBAN_S0Y with 25s (1) cores
% 28.21/5.40 # Preprocessing time : 0.019 s
% 28.21/5.40
% 28.21/5.40 # Proof found!
% 28.21/5.40 # SZS status Theorem
% 28.21/5.40 # SZS output start CNFRefutation
% See solution above
% 28.21/5.40 # Parsed axioms : 10403
% 28.21/5.40 # Removed by relevancy pruning/SinE : 10293
% 28.21/5.40 # Initial clauses : 360
% 28.21/5.40 # Removed in clause preprocessing : 9
% 28.21/5.40 # Initial clauses in saturation : 351
% 28.21/5.40 # Processed clauses : 4717
% 28.21/5.40 # ...of these trivial : 13
% 28.21/5.40 # ...subsumed : 2065
% 28.21/5.40 # ...remaining for further processing : 2639
% 28.21/5.40 # Other redundant clauses eliminated : 8
% 28.21/5.40 # Clauses deleted for lack of memory : 0
% 28.21/5.40 # Backward-subsumed : 275
% 28.21/5.40 # Backward-rewritten : 84
% 28.21/5.40 # Generated clauses : 49612
% 28.21/5.40 # ...of the previous two non-redundant : 47953
% 28.21/5.40 # ...aggressively subsumed : 0
% 28.21/5.40 # Contextual simplify-reflections : 614
% 28.21/5.40 # Paramodulations : 49569
% 28.21/5.40 # Factorizations : 10
% 28.21/5.40 # NegExts : 0
% 28.21/5.40 # Equation resolutions : 37
% 28.21/5.40 # Total rewrite steps : 2745
% 28.21/5.40 # Propositional unsat checks : 0
% 28.21/5.40 # Propositional check models : 0
% 28.21/5.40 # Propositional check unsatisfiable : 0
% 28.21/5.40 # Propositional clauses : 0
% 28.21/5.40 # Propositional clauses after purity: 0
% 28.21/5.40 # Propositional unsat core size : 0
% 28.21/5.40 # Propositional preprocessing time : 0.000
% 28.21/5.40 # Propositional encoding time : 0.000
% 28.21/5.40 # Propositional solver time : 0.000
% 28.21/5.40 # Success case prop preproc time : 0.000
% 28.21/5.40 # Success case prop encoding time : 0.000
% 28.21/5.40 # Success case prop solver time : 0.000
% 28.21/5.40 # Current number of processed clauses : 2276
% 28.21/5.40 # Positive orientable unit clauses : 73
% 28.21/5.40 # Positive unorientable unit clauses: 0
% 28.21/5.40 # Negative unit clauses : 29
% 28.21/5.40 # Non-unit-clauses : 2174
% 28.21/5.40 # Current number of unprocessed clauses: 43105
% 28.21/5.40 # ...number of literals in the above : 369322
% 28.21/5.40 # Current number of archived formulas : 0
% 28.21/5.40 # Current number of archived clauses : 359
% 28.21/5.40 # Clause-clause subsumption calls (NU) : 1950439
% 28.21/5.40 # Rec. Clause-clause subsumption calls : 140653
% 28.21/5.40 # Non-unit clause-clause subsumptions : 2509
% 28.21/5.40 # Unit Clause-clause subsumption calls : 5288
% 28.21/5.40 # Rewrite failures with RHS unbound : 0
% 28.21/5.40 # BW rewrite match attempts : 14
% 28.21/5.40 # BW rewrite match successes : 12
% 28.21/5.40 # Condensation attempts : 0
% 28.21/5.40 # Condensation successes : 0
% 28.21/5.40 # Termbank termtop insertions : 1604309
% 28.21/5.40
% 28.21/5.40 # -------------------------------------------------
% 28.21/5.40 # User time : 3.156 s
% 28.21/5.40 # System time : 0.085 s
% 28.21/5.40 # Total time : 3.241 s
% 28.21/5.40 # Maximum resident set size: 22904 pages
% 28.21/5.40
% 28.21/5.40 # -------------------------------------------------
% 28.21/5.40 # User time : 3.579 s
% 28.21/5.40 # System time : 0.103 s
% 28.21/5.40 # Total time : 3.682 s
% 28.21/5.40 # Maximum resident set size: 17160 pages
% 28.21/5.40 % E---3.1 exiting
%------------------------------------------------------------------------------