TSTP Solution File: LAT314+3 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : LAT314+3 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n026.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 18:08:33 EDT 2023
% Result : Theorem 293.74s 42.32s
% Output : CNFRefutation 293.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 18
% Syntax : Number of formulae : 100 ( 19 unt; 0 def)
% Number of atoms : 530 ( 44 equ)
% Maximal formula atoms : 48 ( 5 avg)
% Number of connectives : 664 ( 234 ~; 242 |; 137 &)
% ( 2 <=>; 49 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 3 con; 0-3 aty)
% Number of variables : 172 ( 3 sgn; 108 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t45_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> ! [X3] :
( ( ~ v1_xboole_0(X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
=> ! [X4] :
( ( ~ v1_xboole_0(X4)
& m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1)))) )
=> ! [X5] :
( ( ~ v1_xboole_0(X5)
& m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1)))) )
=> ( k20_filter_2(X1,X2,X3) = k5_filter_0(k1_lattice2(X1),k7_filter_2(X1,X2),k7_filter_2(X1,X3))
& k20_filter_2(k1_lattice2(X1),k7_filter_2(X1,X2),k7_filter_2(X1,X3)) = k5_filter_0(X1,X2,X3)
& k20_filter_2(k1_lattice2(X1),X4,X5) = k5_filter_0(X1,k8_filter_2(X1,X4),k8_filter_2(X1,X5))
& k20_filter_2(X1,k8_filter_2(X1,X4),k8_filter_2(X1,X5)) = k5_filter_0(k1_lattice2(X1),X4,X5) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.XvJcxi2rSH/E---3.1_27897.p',t45_filter_2) ).
fof(t18_lattice2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ( u1_struct_0(X1) = u1_struct_0(k1_lattice2(X1))
& u2_lattices(X1) = u1_lattices(k1_lattice2(X1))
& u1_lattices(X1) = u2_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox/tmp/tmp.XvJcxi2rSH/E---3.1_27897.p',t18_lattice2) ).
fof(d6_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> k7_filter_2(X1,X2) = X2 ) ),
file('/export/starexec/sandbox/tmp/tmp.XvJcxi2rSH/E---3.1_27897.p',d6_filter_2) ).
fof(t48_filter_2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> ! [X3] :
( ( ~ v1_xboole_0(X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
=> r1_filter_2(u1_struct_0(X1),k20_filter_2(X1,X2,X3),k20_filter_2(X1,X3,X2)) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.XvJcxi2rSH/E---3.1_27897.p',t48_filter_2) ).
fof(t46_filter_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> ! [X3] :
( ( ~ v1_xboole_0(X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
=> k5_filter_0(X1,X2,X3) = k5_filter_0(X1,X3,X2) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.XvJcxi2rSH/E---3.1_27897.p',t46_filter_0) ).
fof(dt_k7_filter_2,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> m1_subset_1(k7_filter_2(X1,X2),k1_zfmisc_1(u1_struct_0(k1_lattice2(X1)))) ),
file('/export/starexec/sandbox/tmp/tmp.XvJcxi2rSH/E---3.1_27897.p',dt_k7_filter_2) ).
fof(fc6_lattice2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1))
& v4_lattices(k1_lattice2(X1))
& v5_lattices(k1_lattice2(X1))
& v6_lattices(k1_lattice2(X1))
& v7_lattices(k1_lattice2(X1))
& v8_lattices(k1_lattice2(X1))
& v9_lattices(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox/tmp/tmp.XvJcxi2rSH/E---3.1_27897.p',fc6_lattice2) ).
fof(fc1_lattice2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox/tmp/tmp.XvJcxi2rSH/E---3.1_27897.p',fc1_lattice2) ).
fof(t3_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
<=> r1_tarski(X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.XvJcxi2rSH/E---3.1_27897.p',t3_subset) ).
fof(dt_k1_lattice2,axiom,
! [X1] :
( l3_lattices(X1)
=> ( v3_lattices(k1_lattice2(X1))
& l3_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox/tmp/tmp.XvJcxi2rSH/E---3.1_27897.p',dt_k1_lattice2) ).
fof(fc1_filter_2,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> ~ v1_xboole_0(k7_filter_2(X1,X2)) ),
file('/export/starexec/sandbox/tmp/tmp.XvJcxi2rSH/E---3.1_27897.p',fc1_filter_2) ).
fof(dt_m1_filter_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.XvJcxi2rSH/E---3.1_27897.p',dt_m1_filter_0) ).
fof(t1_xboole_1,axiom,
! [X1,X2,X3] :
( ( r1_tarski(X1,X2)
& r1_tarski(X2,X3) )
=> r1_tarski(X1,X3) ),
file('/export/starexec/sandbox/tmp/tmp.XvJcxi2rSH/E---3.1_27897.p',t1_xboole_1) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( r2_hidden(X1,X2)
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox/tmp/tmp.XvJcxi2rSH/E---3.1_27897.p',t7_boole) ).
fof(d3_tarski,axiom,
! [X1,X2] :
( r1_tarski(X1,X2)
<=> ! [X3] :
( r2_hidden(X3,X1)
=> r2_hidden(X3,X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.XvJcxi2rSH/E---3.1_27897.p',d3_tarski) ).
fof(reflexivity_r1_filter_2,axiom,
! [X1,X2,X3] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X2,k1_zfmisc_1(X1))
& m1_subset_1(X3,k1_zfmisc_1(X1)) )
=> r1_filter_2(X1,X2,X2) ),
file('/export/starexec/sandbox/tmp/tmp.XvJcxi2rSH/E---3.1_27897.p',reflexivity_r1_filter_2) ).
fof(t15_filter_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> m1_filter_0(u1_struct_0(X1),X1) ),
file('/export/starexec/sandbox/tmp/tmp.XvJcxi2rSH/E---3.1_27897.p',t15_filter_0) ).
fof(dt_k20_filter_2,axiom,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
=> m1_subset_1(k20_filter_2(X1,X2,X3),k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox/tmp/tmp.XvJcxi2rSH/E---3.1_27897.p',dt_k20_filter_2) ).
fof(c_0_18,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> ! [X3] :
( ( ~ v1_xboole_0(X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
=> ! [X4] :
( ( ~ v1_xboole_0(X4)
& m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1)))) )
=> ! [X5] :
( ( ~ v1_xboole_0(X5)
& m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1)))) )
=> ( k20_filter_2(X1,X2,X3) = k5_filter_0(k1_lattice2(X1),k7_filter_2(X1,X2),k7_filter_2(X1,X3))
& k20_filter_2(k1_lattice2(X1),k7_filter_2(X1,X2),k7_filter_2(X1,X3)) = k5_filter_0(X1,X2,X3)
& k20_filter_2(k1_lattice2(X1),X4,X5) = k5_filter_0(X1,k8_filter_2(X1,X4),k8_filter_2(X1,X5))
& k20_filter_2(X1,k8_filter_2(X1,X4),k8_filter_2(X1,X5)) = k5_filter_0(k1_lattice2(X1),X4,X5) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t45_filter_2]) ).
fof(c_0_19,plain,
! [X43,X44,X45,X46,X47] :
( ( k20_filter_2(X43,X44,X45) = k5_filter_0(k1_lattice2(X43),k7_filter_2(X43,X44),k7_filter_2(X43,X45))
| v1_xboole_0(X47)
| ~ m1_subset_1(X47,k1_zfmisc_1(u1_struct_0(k1_lattice2(X43))))
| v1_xboole_0(X46)
| ~ m1_subset_1(X46,k1_zfmisc_1(u1_struct_0(k1_lattice2(X43))))
| v1_xboole_0(X45)
| ~ m1_subset_1(X45,k1_zfmisc_1(u1_struct_0(X43)))
| v1_xboole_0(X44)
| ~ m1_subset_1(X44,k1_zfmisc_1(u1_struct_0(X43)))
| v3_struct_0(X43)
| ~ v10_lattices(X43)
| ~ l3_lattices(X43) )
& ( k20_filter_2(k1_lattice2(X43),k7_filter_2(X43,X44),k7_filter_2(X43,X45)) = k5_filter_0(X43,X44,X45)
| v1_xboole_0(X47)
| ~ m1_subset_1(X47,k1_zfmisc_1(u1_struct_0(k1_lattice2(X43))))
| v1_xboole_0(X46)
| ~ m1_subset_1(X46,k1_zfmisc_1(u1_struct_0(k1_lattice2(X43))))
| v1_xboole_0(X45)
| ~ m1_subset_1(X45,k1_zfmisc_1(u1_struct_0(X43)))
| v1_xboole_0(X44)
| ~ m1_subset_1(X44,k1_zfmisc_1(u1_struct_0(X43)))
| v3_struct_0(X43)
| ~ v10_lattices(X43)
| ~ l3_lattices(X43) )
& ( k20_filter_2(k1_lattice2(X43),X46,X47) = k5_filter_0(X43,k8_filter_2(X43,X46),k8_filter_2(X43,X47))
| v1_xboole_0(X47)
| ~ m1_subset_1(X47,k1_zfmisc_1(u1_struct_0(k1_lattice2(X43))))
| v1_xboole_0(X46)
| ~ m1_subset_1(X46,k1_zfmisc_1(u1_struct_0(k1_lattice2(X43))))
| v1_xboole_0(X45)
| ~ m1_subset_1(X45,k1_zfmisc_1(u1_struct_0(X43)))
| v1_xboole_0(X44)
| ~ m1_subset_1(X44,k1_zfmisc_1(u1_struct_0(X43)))
| v3_struct_0(X43)
| ~ v10_lattices(X43)
| ~ l3_lattices(X43) )
& ( k20_filter_2(X43,k8_filter_2(X43,X46),k8_filter_2(X43,X47)) = k5_filter_0(k1_lattice2(X43),X46,X47)
| v1_xboole_0(X47)
| ~ m1_subset_1(X47,k1_zfmisc_1(u1_struct_0(k1_lattice2(X43))))
| v1_xboole_0(X46)
| ~ m1_subset_1(X46,k1_zfmisc_1(u1_struct_0(k1_lattice2(X43))))
| v1_xboole_0(X45)
| ~ m1_subset_1(X45,k1_zfmisc_1(u1_struct_0(X43)))
| v1_xboole_0(X44)
| ~ m1_subset_1(X44,k1_zfmisc_1(u1_struct_0(X43)))
| v3_struct_0(X43)
| ~ v10_lattices(X43)
| ~ l3_lattices(X43) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])]) ).
fof(c_0_20,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ( u1_struct_0(X1) = u1_struct_0(k1_lattice2(X1))
& u2_lattices(X1) = u1_lattices(k1_lattice2(X1))
& u1_lattices(X1) = u2_lattices(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[t18_lattice2]) ).
fof(c_0_21,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> k7_filter_2(X1,X2) = X2 ) ),
inference(fof_simplification,[status(thm)],[d6_filter_2]) ).
fof(c_0_22,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> ! [X3] :
( ( ~ v1_xboole_0(X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
=> r1_filter_2(u1_struct_0(X1),k20_filter_2(X1,X2,X3),k20_filter_2(X1,X3,X2)) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t48_filter_2])]) ).
fof(c_0_23,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> ! [X3] :
( ( ~ v1_xboole_0(X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
=> k5_filter_0(X1,X2,X3) = k5_filter_0(X1,X3,X2) ) ) ),
inference(fof_simplification,[status(thm)],[t46_filter_0]) ).
fof(c_0_24,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> m1_subset_1(k7_filter_2(X1,X2),k1_zfmisc_1(u1_struct_0(k1_lattice2(X1)))) ),
inference(fof_simplification,[status(thm)],[dt_k7_filter_2]) ).
fof(c_0_25,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1))
& v4_lattices(k1_lattice2(X1))
& v5_lattices(k1_lattice2(X1))
& v6_lattices(k1_lattice2(X1))
& v7_lattices(k1_lattice2(X1))
& v8_lattices(k1_lattice2(X1))
& v9_lattices(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc6_lattice2]) ).
fof(c_0_26,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc1_lattice2]) ).
cnf(c_0_27,plain,
( k20_filter_2(X1,X2,X3) = k5_filter_0(k1_lattice2(X1),k7_filter_2(X1,X2),k7_filter_2(X1,X3))
| v1_xboole_0(X4)
| v1_xboole_0(X5)
| v1_xboole_0(X3)
| v1_xboole_0(X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_28,plain,
! [X255] :
( ( u1_struct_0(X255) = u1_struct_0(k1_lattice2(X255))
| v3_struct_0(X255)
| ~ l3_lattices(X255) )
& ( u2_lattices(X255) = u1_lattices(k1_lattice2(X255))
| v3_struct_0(X255)
| ~ l3_lattices(X255) )
& ( u1_lattices(X255) = u2_lattices(k1_lattice2(X255))
| v3_struct_0(X255)
| ~ l3_lattices(X255) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])]) ).
fof(c_0_29,plain,
! [X290,X291] :
( v3_struct_0(X290)
| ~ v10_lattices(X290)
| ~ l3_lattices(X290)
| ~ m1_subset_1(X291,k1_zfmisc_1(u1_struct_0(X290)))
| k7_filter_2(X290,X291) = X291 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])]) ).
fof(c_0_30,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v10_lattices(esk1_0)
& l3_lattices(esk1_0)
& ~ v1_xboole_0(esk2_0)
& m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
& ~ v1_xboole_0(esk3_0)
& m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
& ~ r1_filter_2(u1_struct_0(esk1_0),k20_filter_2(esk1_0,esk2_0,esk3_0),k20_filter_2(esk1_0,esk3_0,esk2_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])]) ).
fof(c_0_31,plain,
! [X94,X95] :
( ( ~ m1_subset_1(X94,k1_zfmisc_1(X95))
| r1_tarski(X94,X95) )
& ( ~ r1_tarski(X94,X95)
| m1_subset_1(X94,k1_zfmisc_1(X95)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])]) ).
fof(c_0_32,plain,
! [X234,X235,X236] :
( v3_struct_0(X234)
| ~ v10_lattices(X234)
| ~ l3_lattices(X234)
| v1_xboole_0(X235)
| ~ m1_subset_1(X235,k1_zfmisc_1(u1_struct_0(X234)))
| v1_xboole_0(X236)
| ~ m1_subset_1(X236,k1_zfmisc_1(u1_struct_0(X234)))
| k5_filter_0(X234,X235,X236) = k5_filter_0(X234,X236,X235) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])]) ).
fof(c_0_33,plain,
! [X288,X289] :
( v3_struct_0(X288)
| ~ v10_lattices(X288)
| ~ l3_lattices(X288)
| ~ m1_subset_1(X289,k1_zfmisc_1(u1_struct_0(X288)))
| m1_subset_1(k7_filter_2(X288,X289),k1_zfmisc_1(u1_struct_0(k1_lattice2(X288)))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])]) ).
fof(c_0_34,plain,
! [X278] :
( ( v3_lattices(k1_lattice2(X278))
| ~ l3_lattices(X278) )
& ( l3_lattices(k1_lattice2(X278))
| ~ l3_lattices(X278) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_lattice2])])]) ).
fof(c_0_35,plain,
! [X253] :
( ( ~ v3_struct_0(k1_lattice2(X253))
| v3_struct_0(X253)
| ~ v10_lattices(X253)
| ~ l3_lattices(X253) )
& ( v3_lattices(k1_lattice2(X253))
| v3_struct_0(X253)
| ~ v10_lattices(X253)
| ~ l3_lattices(X253) )
& ( v4_lattices(k1_lattice2(X253))
| v3_struct_0(X253)
| ~ v10_lattices(X253)
| ~ l3_lattices(X253) )
& ( v5_lattices(k1_lattice2(X253))
| v3_struct_0(X253)
| ~ v10_lattices(X253)
| ~ l3_lattices(X253) )
& ( v6_lattices(k1_lattice2(X253))
| v3_struct_0(X253)
| ~ v10_lattices(X253)
| ~ l3_lattices(X253) )
& ( v7_lattices(k1_lattice2(X253))
| v3_struct_0(X253)
| ~ v10_lattices(X253)
| ~ l3_lattices(X253) )
& ( v8_lattices(k1_lattice2(X253))
| v3_struct_0(X253)
| ~ v10_lattices(X253)
| ~ l3_lattices(X253) )
& ( v9_lattices(k1_lattice2(X253))
| v3_struct_0(X253)
| ~ v10_lattices(X253)
| ~ l3_lattices(X253) )
& ( v10_lattices(k1_lattice2(X253))
| v3_struct_0(X253)
| ~ v10_lattices(X253)
| ~ l3_lattices(X253) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])]) ).
fof(c_0_36,plain,
! [X252] :
( ( ~ v3_struct_0(k1_lattice2(X252))
| v3_struct_0(X252)
| ~ l3_lattices(X252) )
& ( v3_lattices(k1_lattice2(X252))
| v3_struct_0(X252)
| ~ l3_lattices(X252) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])]) ).
cnf(c_0_37,plain,
( k5_filter_0(k1_lattice2(X1),k7_filter_2(X1,X2),k7_filter_2(X1,X3)) = k20_filter_2(X1,X2,X3)
| v3_struct_0(X1)
| v1_xboole_0(X2)
| v1_xboole_0(X3)
| v1_xboole_0(X4)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(condense,[status(thm)],[c_0_27]) ).
cnf(c_0_38,plain,
( u1_struct_0(X1) = u1_struct_0(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_39,plain,
( v3_struct_0(X1)
| k7_filter_2(X1,X2) = X2
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_40,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_41,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_42,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_43,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_44,negated_conjecture,
m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
fof(c_0_45,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> ~ v1_xboole_0(k7_filter_2(X1,X2)) ),
inference(fof_simplification,[status(thm)],[fc1_filter_2]) ).
fof(c_0_46,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ) ),
inference(fof_simplification,[status(thm)],[dt_m1_filter_0]) ).
fof(c_0_47,plain,
! [X337,X338,X339] :
( ~ r1_tarski(X337,X338)
| ~ r1_tarski(X338,X339)
| r1_tarski(X337,X339) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_xboole_1])]) ).
cnf(c_0_48,plain,
( r1_tarski(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_49,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| v1_xboole_0(X3)
| k5_filter_0(X1,X2,X3) = k5_filter_0(X1,X3,X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_50,plain,
( v3_struct_0(X1)
| m1_subset_1(k7_filter_2(X1,X2),k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_51,plain,
( l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_52,plain,
( v10_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_53,plain,
( v3_struct_0(X1)
| ~ v3_struct_0(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_54,plain,
( k5_filter_0(k1_lattice2(X1),k7_filter_2(X1,X2),k7_filter_2(X1,X3)) = k20_filter_2(X1,X2,X3)
| v3_struct_0(X1)
| v1_xboole_0(X2)
| v1_xboole_0(X3)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38])]) ).
cnf(c_0_55,negated_conjecture,
k7_filter_2(esk1_0,esk3_0) = esk3_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]),c_0_42])]),c_0_43]) ).
cnf(c_0_56,negated_conjecture,
~ v1_xboole_0(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_57,negated_conjecture,
k7_filter_2(esk1_0,esk2_0) = esk2_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_44]),c_0_41]),c_0_42])]),c_0_43]) ).
cnf(c_0_58,negated_conjecture,
~ v1_xboole_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
fof(c_0_59,plain,
! [X292,X293] :
( v3_struct_0(X292)
| ~ v10_lattices(X292)
| ~ l3_lattices(X292)
| v1_xboole_0(X293)
| ~ m1_subset_1(X293,k1_zfmisc_1(u1_struct_0(X292)))
| ~ v1_xboole_0(k7_filter_2(X292,X293)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])]) ).
fof(c_0_60,plain,
! [X577,X578] :
( ( ~ v1_xboole_0(X578)
| ~ m1_filter_0(X578,X577)
| v3_struct_0(X577)
| ~ v10_lattices(X577)
| ~ l3_lattices(X577) )
& ( m1_subset_1(X578,k1_zfmisc_1(u1_struct_0(X577)))
| ~ m1_filter_0(X578,X577)
| v3_struct_0(X577)
| ~ v10_lattices(X577)
| ~ l3_lattices(X577) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_46])])])]) ).
cnf(c_0_61,plain,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_62,plain,
( r1_tarski(X1,X3)
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_63,negated_conjecture,
r1_tarski(esk3_0,u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_48,c_0_40]) ).
fof(c_0_64,plain,
! [X104,X105] :
( ~ r2_hidden(X104,X105)
| ~ v1_xboole_0(X105) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).
fof(c_0_65,plain,
! [X328,X329,X330,X331,X332] :
( ( ~ r1_tarski(X328,X329)
| ~ r2_hidden(X330,X328)
| r2_hidden(X330,X329) )
& ( r2_hidden(esk40_2(X331,X332),X331)
| r1_tarski(X331,X332) )
& ( ~ r2_hidden(esk40_2(X331,X332),X332)
| r1_tarski(X331,X332) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_tarski])])])])])]) ).
cnf(c_0_66,plain,
( k5_filter_0(k1_lattice2(X1),X2,k7_filter_2(X1,X3)) = k5_filter_0(k1_lattice2(X1),k7_filter_2(X1,X3),X2)
| v3_struct_0(X1)
| v1_xboole_0(k7_filter_2(X1,X3))
| v1_xboole_0(X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51]),c_0_52]),c_0_53]) ).
cnf(c_0_67,negated_conjecture,
( k5_filter_0(k1_lattice2(esk1_0),k7_filter_2(esk1_0,X1),esk3_0) = k20_filter_2(esk1_0,X1,esk3_0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_41]),c_0_42]),c_0_40])]),c_0_43]),c_0_56]) ).
cnf(c_0_68,negated_conjecture,
( k5_filter_0(k1_lattice2(esk1_0),k7_filter_2(esk1_0,X1),esk2_0) = k20_filter_2(esk1_0,X1,esk2_0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_57]),c_0_41]),c_0_42]),c_0_44])]),c_0_43]),c_0_58]) ).
fof(c_0_69,plain,
! [X1,X2,X3] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X2,k1_zfmisc_1(X1))
& m1_subset_1(X3,k1_zfmisc_1(X1)) )
=> r1_filter_2(X1,X2,X2) ),
inference(fof_simplification,[status(thm)],[reflexivity_r1_filter_2]) ).
cnf(c_0_70,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_xboole_0(k7_filter_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_71,plain,
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| v3_struct_0(X2)
| ~ m1_filter_0(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_72,plain,
( v3_struct_0(X2)
| ~ v1_xboole_0(X1)
| ~ m1_filter_0(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_73,plain,
( k7_filter_2(X1,X2) = X2
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ r1_tarski(X2,u1_struct_0(X1)) ),
inference(spm,[status(thm)],[c_0_39,c_0_61]) ).
cnf(c_0_74,negated_conjecture,
( r1_tarski(X1,u1_struct_0(esk1_0))
| ~ r1_tarski(X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_75,plain,
( ~ r2_hidden(X1,X2)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_76,plain,
( r2_hidden(esk40_2(X1,X2),X1)
| r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
fof(c_0_77,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> m1_filter_0(u1_struct_0(X1),X1) ),
inference(fof_simplification,[status(thm)],[t15_filter_0]) ).
cnf(c_0_78,negated_conjecture,
( k5_filter_0(k1_lattice2(esk1_0),X1,esk3_0) = k5_filter_0(k1_lattice2(esk1_0),esk3_0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(esk1_0)))) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_55]),c_0_41]),c_0_42]),c_0_40])]),c_0_43]),c_0_56]) ).
cnf(c_0_79,negated_conjecture,
m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(k1_lattice2(esk1_0)))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_57]),c_0_41]),c_0_42]),c_0_44])]),c_0_43]) ).
cnf(c_0_80,negated_conjecture,
k5_filter_0(k1_lattice2(esk1_0),esk2_0,esk3_0) = k20_filter_2(esk1_0,esk2_0,esk3_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_57]),c_0_44])]),c_0_58]) ).
cnf(c_0_81,negated_conjecture,
k5_filter_0(k1_lattice2(esk1_0),esk3_0,esk2_0) = k20_filter_2(esk1_0,esk3_0,esk2_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_55]),c_0_40])]),c_0_56]) ).
fof(c_0_82,plain,
! [X21,X22,X23] :
( v1_xboole_0(X21)
| ~ m1_subset_1(X22,k1_zfmisc_1(X21))
| ~ m1_subset_1(X23,k1_zfmisc_1(X21))
| r1_filter_2(X21,X22,X22) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_69])]) ).
cnf(c_0_83,plain,
( v3_struct_0(X1)
| ~ m1_filter_0(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v1_xboole_0(k7_filter_2(X1,X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_72]) ).
cnf(c_0_84,negated_conjecture,
( k7_filter_2(esk1_0,X1) = X1
| ~ r1_tarski(X1,esk3_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_41]),c_0_42])]),c_0_43]) ).
cnf(c_0_85,plain,
( r1_tarski(X1,X2)
| ~ v1_xboole_0(X1) ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
fof(c_0_86,plain,
! [X576] :
( v3_struct_0(X576)
| ~ v10_lattices(X576)
| ~ l3_lattices(X576)
| m1_filter_0(u1_struct_0(X576),X576) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_77])]) ).
cnf(c_0_87,negated_conjecture,
~ r1_filter_2(u1_struct_0(esk1_0),k20_filter_2(esk1_0,esk2_0,esk3_0),k20_filter_2(esk1_0,esk3_0,esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_88,negated_conjecture,
k20_filter_2(esk1_0,esk3_0,esk2_0) = k20_filter_2(esk1_0,esk2_0,esk3_0),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_80]),c_0_81]),c_0_58]) ).
cnf(c_0_89,plain,
( v1_xboole_0(X1)
| r1_filter_2(X1,X2,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_90,negated_conjecture,
( ~ m1_filter_0(X1,esk1_0)
| ~ v1_xboole_0(X1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_41]),c_0_42])]),c_0_43]),c_0_85]) ).
cnf(c_0_91,plain,
( v3_struct_0(X1)
| m1_filter_0(u1_struct_0(X1),X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
fof(c_0_92,plain,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
=> m1_subset_1(k20_filter_2(X1,X2,X3),k1_zfmisc_1(u1_struct_0(X1))) ),
inference(fof_simplification,[status(thm)],[dt_k20_filter_2]) ).
cnf(c_0_93,negated_conjecture,
~ r1_filter_2(u1_struct_0(esk1_0),k20_filter_2(esk1_0,esk2_0,esk3_0),k20_filter_2(esk1_0,esk2_0,esk3_0)),
inference(rw,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_94,plain,
( r1_filter_2(X1,X2,X2)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(condense,[status(thm)],[c_0_89]) ).
cnf(c_0_95,negated_conjecture,
~ v1_xboole_0(u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_41]),c_0_42])]),c_0_43]) ).
fof(c_0_96,plain,
! [X37,X38,X39] :
( v3_struct_0(X37)
| ~ v10_lattices(X37)
| ~ l3_lattices(X37)
| v1_xboole_0(X38)
| ~ m1_subset_1(X38,k1_zfmisc_1(u1_struct_0(X37)))
| v1_xboole_0(X39)
| ~ m1_subset_1(X39,k1_zfmisc_1(u1_struct_0(X37)))
| m1_subset_1(k20_filter_2(X37,X38,X39),k1_zfmisc_1(u1_struct_0(X37))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_92])]) ).
cnf(c_0_97,negated_conjecture,
~ m1_subset_1(k20_filter_2(esk1_0,esk2_0,esk3_0),k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_95]) ).
cnf(c_0_98,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| v1_xboole_0(X3)
| m1_subset_1(k20_filter_2(X1,X2,X3),k1_zfmisc_1(u1_struct_0(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_99,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[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(spm,[status(thm)],[c_0_97,c_0_98]),c_0_41]),c_0_42]),c_0_40]),c_0_44])]),c_0_43]),c_0_56]),c_0_58]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 1.41/1.43 % Problem : LAT314+3 : TPTP v8.1.2. Released v3.4.0.
% 1.41/1.44 % Command : run_E %s %d THM
% 1.43/1.64 % Computer : n026.cluster.edu
% 1.43/1.64 % Model : x86_64 x86_64
% 1.43/1.64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 1.43/1.64 % Memory : 8042.1875MB
% 1.43/1.64 % OS : Linux 3.10.0-693.el7.x86_64
% 1.43/1.64 % CPULimit : 2400
% 1.43/1.64 % WCLimit : 300
% 1.43/1.64 % DateTime : Mon Oct 2 10:30:01 EDT 2023
% 1.43/1.64 % CPUTime :
% 4.60/4.83 Running first-order theorem proving
% 4.60/4.84 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.XvJcxi2rSH/E---3.1_27897.p
% 293.74/42.32 # Version: 3.1pre001
% 293.74/42.32 # Preprocessing class: FMLLSMLLSSSNFFN.
% 293.74/42.32 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 293.74/42.32 # Starting new_bool_3 with 900s (3) cores
% 293.74/42.32 # Starting new_bool_1 with 900s (3) cores
% 293.74/42.32 # Starting sh5l with 300s (1) cores
% 293.74/42.32 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 293.74/42.32 # new_bool_1 with pid 27986 completed with status 0
% 293.74/42.32 # Result found by new_bool_1
% 293.74/42.32 # Preprocessing class: FMLLSMLLSSSNFFN.
% 293.74/42.32 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 293.74/42.32 # Starting new_bool_3 with 900s (3) cores
% 293.74/42.32 # Starting new_bool_1 with 900s (3) cores
% 293.74/42.32 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 293.74/42.32 # Search class: FGHSM-FMLM31-MFFFFFNN
% 293.74/42.32 # Scheduled 6 strats onto 3 cores with 900 seconds (900 total)
% 293.74/42.32 # Starting new_ho_10 with 163s (1) cores
% 293.74/42.32 # Starting new_bool_1 with 91s (1) cores
% 293.74/42.32 # Starting ho_unfolding_3 with 163s (1) cores
% 293.74/42.32 # new_ho_10 with pid 27996 completed with status 0
% 293.74/42.32 # Result found by new_ho_10
% 293.74/42.32 # Preprocessing class: FMLLSMLLSSSNFFN.
% 293.74/42.32 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 293.74/42.32 # Starting new_bool_3 with 900s (3) cores
% 293.74/42.32 # Starting new_bool_1 with 900s (3) cores
% 293.74/42.32 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 293.74/42.32 # Search class: FGHSM-FMLM31-MFFFFFNN
% 293.74/42.32 # Scheduled 6 strats onto 3 cores with 900 seconds (900 total)
% 293.74/42.32 # Starting new_ho_10 with 163s (1) cores
% 293.74/42.32 # Preprocessing time : 0.026 s
% 293.74/42.32 # Presaturation interreduction done
% 293.74/42.32
% 293.74/42.32 # Proof found!
% 293.74/42.32 # SZS status Theorem
% 293.74/42.32 # SZS output start CNFRefutation
% See solution above
% 293.74/42.32 # Parsed axioms : 13641
% 293.74/42.32 # Removed by relevancy pruning/SinE : 13267
% 293.74/42.32 # Initial clauses : 966
% 293.74/42.32 # Removed in clause preprocessing : 52
% 293.74/42.32 # Initial clauses in saturation : 914
% 293.74/42.32 # Processed clauses : 13660
% 293.74/42.32 # ...of these trivial : 55
% 293.74/42.32 # ...subsumed : 5378
% 293.74/42.32 # ...remaining for further processing : 8227
% 293.74/42.32 # Other redundant clauses eliminated : 450
% 293.74/42.32 # Clauses deleted for lack of memory : 0
% 293.74/42.32 # Backward-subsumed : 217
% 293.74/42.32 # Backward-rewritten : 51
% 293.74/42.32 # Generated clauses : 597340
% 293.74/42.32 # ...of the previous two non-redundant : 581192
% 293.74/42.32 # ...aggressively subsumed : 0
% 293.74/42.32 # Contextual simplify-reflections : 1583
% 293.74/42.32 # Paramodulations : 596861
% 293.74/42.32 # Factorizations : 14
% 293.74/42.32 # NegExts : 0
% 293.74/42.32 # Equation resolutions : 473
% 293.74/42.32 # Total rewrite steps : 61574
% 293.74/42.32 # Propositional unsat checks : 0
% 293.74/42.32 # Propositional check models : 0
% 293.74/42.32 # Propositional check unsatisfiable : 0
% 293.74/42.32 # Propositional clauses : 0
% 293.74/42.32 # Propositional clauses after purity: 0
% 293.74/42.32 # Propositional unsat core size : 0
% 293.74/42.32 # Propositional preprocessing time : 0.000
% 293.74/42.32 # Propositional encoding time : 0.000
% 293.74/42.32 # Propositional solver time : 0.000
% 293.74/42.32 # Success case prop preproc time : 0.000
% 293.74/42.32 # Success case prop encoding time : 0.000
% 293.74/42.32 # Success case prop solver time : 0.000
% 293.74/42.32 # Current number of processed clauses : 7081
% 293.74/42.32 # Positive orientable unit clauses : 165
% 293.74/42.32 # Positive unorientable unit clauses: 0
% 293.74/42.32 # Negative unit clauses : 293
% 293.74/42.32 # Non-unit-clauses : 6623
% 293.74/42.32 # Current number of unprocessed clauses: 567805
% 293.74/42.32 # ...number of literals in the above : 6708782
% 293.74/42.32 # Current number of archived formulas : 0
% 293.74/42.32 # Current number of archived clauses : 1107
% 293.74/42.32 # Clause-clause subsumption calls (NU) : 19698015
% 293.74/42.32 # Rec. Clause-clause subsumption calls : 527540
% 293.74/42.32 # Non-unit clause-clause subsumptions : 4298
% 293.74/42.32 # Unit Clause-clause subsumption calls : 194686
% 293.74/42.32 # Rewrite failures with RHS unbound : 0
% 293.74/42.32 # BW rewrite match attempts : 85
% 293.74/42.32 # BW rewrite match successes : 43
% 293.74/42.32 # Condensation attempts : 13660
% 293.74/42.32 # Condensation successes : 162
% 293.74/42.32 # Termbank termtop insertions : 24648826
% 293.74/42.32
% 293.74/42.32 # -------------------------------------------------
% 293.74/42.32 # User time : 35.846 s
% 293.74/42.32 # System time : 0.726 s
% 293.74/42.32 # Total time : 36.572 s
% 293.74/42.32 # Maximum resident set size: 26284 pages
% 293.74/42.32
% 293.74/42.32 # -------------------------------------------------
% 293.74/42.32 # User time : 106.742 s
% 293.74/42.32 # System time : 1.320 s
% 293.74/42.32 # Total time : 108.062 s
% 293.74/42.32 # Maximum resident set size: 20068 pages
% 293.74/42.32 % E---3.1 exiting
% 293.74/42.32 % E---3.1 exiting
%------------------------------------------------------------------------------