TSTP Solution File: LAT345+1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : LAT345+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n017.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 18:10:49 EDT 2023
% Result : Theorem 1831.17s 231.11s
% Output : CNFRefutation 1831.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 17
% Syntax : Number of formulae : 139 ( 40 unt; 0 def)
% Number of atoms : 460 ( 104 equ)
% Maximal formula atoms : 24 ( 3 avg)
% Number of connectives : 517 ( 196 ~; 213 |; 73 &)
% ( 3 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 2 con; 0-3 aty)
% Number of variables : 188 ( 12 sgn; 85 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(redefinition_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
<=> m1_relset_1(X3,X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.wxs538nDrW/E---3.1_13784.p',redefinition_m2_relset_1) ).
fof(dt_u3_conlat_1,axiom,
! [X1] :
( l2_conlat_1(X1)
=> m2_relset_1(u3_conlat_1(X1),u1_conlat_1(X1),u2_conlat_1(X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.wxs538nDrW/E---3.1_13784.p',dt_u3_conlat_1) ).
fof(redefinition_k6_relset_1,axiom,
! [X1,X2,X3] :
( m1_relset_1(X3,X1,X2)
=> k6_relset_1(X1,X2,X3) = k4_relat_1(X3) ),
file('/export/starexec/sandbox2/tmp/tmp.wxs538nDrW/E---3.1_13784.p',redefinition_k6_relset_1) ).
fof(t20_conlat_2,conjecture,
! [X1] :
( ( ~ v3_conlat_1(X1)
& v4_conlat_1(X1)
& l2_conlat_1(X1) )
=> ! [X2] :
( ( v6_conlat_1(X2,X1)
& ~ v7_conlat_1(X2,X1)
& v9_conlat_1(X2,X1)
& l3_conlat_1(X2,X1) )
=> k9_conlat_2(k7_conlat_2(X1),k9_conlat_2(X1,X2)) = X2 ) ),
file('/export/starexec/sandbox2/tmp/tmp.wxs538nDrW/E---3.1_13784.p',t20_conlat_2) ).
fof(d7_conlat_2,axiom,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> k7_conlat_2(X1) = g2_conlat_1(u2_conlat_1(X1),u1_conlat_1(X1),k6_relset_1(u1_conlat_1(X1),u2_conlat_1(X1),u3_conlat_1(X1))) ),
file('/export/starexec/sandbox2/tmp/tmp.wxs538nDrW/E---3.1_13784.p',d7_conlat_2) ).
fof(dt_k7_conlat_2,axiom,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> ( ~ v3_conlat_1(k7_conlat_2(X1))
& v4_conlat_1(k7_conlat_2(X1))
& l2_conlat_1(k7_conlat_2(X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.wxs538nDrW/E---3.1_13784.p',dt_k7_conlat_2) ).
fof(free_g2_conlat_1,axiom,
! [X1,X2,X3] :
( m1_relset_1(X3,X1,X2)
=> ! [X4,X5,X6] :
( g2_conlat_1(X1,X2,X3) = g2_conlat_1(X4,X5,X6)
=> ( X1 = X4
& X2 = X5
& X3 = X6 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.wxs538nDrW/E---3.1_13784.p',free_g2_conlat_1) ).
fof(abstractness_v4_conlat_1,axiom,
! [X1] :
( l2_conlat_1(X1)
=> ( v4_conlat_1(X1)
=> X1 = g2_conlat_1(u1_conlat_1(X1),u2_conlat_1(X1),u3_conlat_1(X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.wxs538nDrW/E---3.1_13784.p',abstractness_v4_conlat_1) ).
fof(redefinition_k9_conlat_2,axiom,
! [X1,X2] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1)
& ~ v7_conlat_1(X2,X1)
& v9_conlat_1(X2,X1)
& l3_conlat_1(X2,X1) )
=> k9_conlat_2(X1,X2) = k8_conlat_2(X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.wxs538nDrW/E---3.1_13784.p',redefinition_k9_conlat_2) ).
fof(dt_k9_conlat_2,axiom,
! [X1,X2] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1)
& ~ v7_conlat_1(X2,X1)
& v9_conlat_1(X2,X1)
& l3_conlat_1(X2,X1) )
=> ( v6_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1))
& ~ v7_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1))
& v9_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1))
& l3_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.wxs538nDrW/E---3.1_13784.p',dt_k9_conlat_2) ).
fof(d8_conlat_2,axiom,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> ! [X2] :
( l3_conlat_1(X2,X1)
=> ! [X3] :
( ( v6_conlat_1(X3,k7_conlat_2(X1))
& l3_conlat_1(X3,k7_conlat_2(X1)) )
=> ( X3 = k8_conlat_2(X1,X2)
<=> ( u4_conlat_1(k7_conlat_2(X1),X3) = u5_conlat_1(X1,X2)
& u5_conlat_1(k7_conlat_2(X1),X3) = u4_conlat_1(X1,X2) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.wxs538nDrW/E---3.1_13784.p',d8_conlat_2) ).
fof(dt_k8_conlat_2,axiom,
! [X1,X2] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1)
& l3_conlat_1(X2,X1) )
=> ( v6_conlat_1(k8_conlat_2(X1,X2),k7_conlat_2(X1))
& l3_conlat_1(k8_conlat_2(X1,X2),k7_conlat_2(X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.wxs538nDrW/E---3.1_13784.p',dt_k8_conlat_2) ).
fof(involutiveness_k4_relat_1,axiom,
! [X1] :
( v1_relat_1(X1)
=> k4_relat_1(k4_relat_1(X1)) = X1 ),
file('/export/starexec/sandbox2/tmp/tmp.wxs538nDrW/E---3.1_13784.p',involutiveness_k4_relat_1) ).
fof(cc1_relset_1,axiom,
! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
=> v1_relat_1(X3) ),
file('/export/starexec/sandbox2/tmp/tmp.wxs538nDrW/E---3.1_13784.p',cc1_relset_1) ).
fof(dt_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
=> m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
file('/export/starexec/sandbox2/tmp/tmp.wxs538nDrW/E---3.1_13784.p',dt_m2_relset_1) ).
fof(abstractness_v6_conlat_1,axiom,
! [X1,X2] :
( ( l1_conlat_1(X1)
& l3_conlat_1(X2,X1) )
=> ( v6_conlat_1(X2,X1)
=> X2 = g3_conlat_1(X1,u4_conlat_1(X1,X2),u5_conlat_1(X1,X2)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.wxs538nDrW/E---3.1_13784.p',abstractness_v6_conlat_1) ).
fof(dt_l2_conlat_1,axiom,
! [X1] :
( l2_conlat_1(X1)
=> l1_conlat_1(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.wxs538nDrW/E---3.1_13784.p',dt_l2_conlat_1) ).
fof(c_0_17,plain,
! [X107,X108,X109] :
( ( ~ m2_relset_1(X109,X107,X108)
| m1_relset_1(X109,X107,X108) )
& ( ~ m1_relset_1(X109,X107,X108)
| m2_relset_1(X109,X107,X108) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).
fof(c_0_18,plain,
! [X42] :
( ~ l2_conlat_1(X42)
| m2_relset_1(u3_conlat_1(X42),u1_conlat_1(X42),u2_conlat_1(X42)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u3_conlat_1])]) ).
fof(c_0_19,plain,
! [X102,X103,X104] :
( ~ m1_relset_1(X104,X102,X103)
| k6_relset_1(X102,X103,X104) = k4_relat_1(X104) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k6_relset_1])]) ).
cnf(c_0_20,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_21,plain,
( m2_relset_1(u3_conlat_1(X1),u1_conlat_1(X1),u2_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_22,negated_conjecture,
~ ! [X1] :
( ( ~ v3_conlat_1(X1)
& v4_conlat_1(X1)
& l2_conlat_1(X1) )
=> ! [X2] :
( ( v6_conlat_1(X2,X1)
& ~ v7_conlat_1(X2,X1)
& v9_conlat_1(X2,X1)
& l3_conlat_1(X2,X1) )
=> k9_conlat_2(k7_conlat_2(X1),k9_conlat_2(X1,X2)) = X2 ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t20_conlat_2])]) ).
fof(c_0_23,plain,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> k7_conlat_2(X1) = g2_conlat_1(u2_conlat_1(X1),u1_conlat_1(X1),k6_relset_1(u1_conlat_1(X1),u2_conlat_1(X1),u3_conlat_1(X1))) ),
inference(fof_simplification,[status(thm)],[d7_conlat_2]) ).
cnf(c_0_24,plain,
( k6_relset_1(X2,X3,X1) = k4_relat_1(X1)
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_25,plain,
( m1_relset_1(u3_conlat_1(X1),u1_conlat_1(X1),u2_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
fof(c_0_26,negated_conjecture,
( ~ v3_conlat_1(esk1_0)
& v4_conlat_1(esk1_0)
& l2_conlat_1(esk1_0)
& v6_conlat_1(esk2_0,esk1_0)
& ~ v7_conlat_1(esk2_0,esk1_0)
& v9_conlat_1(esk2_0,esk1_0)
& l3_conlat_1(esk2_0,esk1_0)
& k9_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0)) != esk2_0 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])]) ).
fof(c_0_27,plain,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> ( ~ v3_conlat_1(k7_conlat_2(X1))
& v4_conlat_1(k7_conlat_2(X1))
& l2_conlat_1(k7_conlat_2(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k7_conlat_2]) ).
fof(c_0_28,plain,
! [X19] :
( v3_conlat_1(X19)
| ~ l2_conlat_1(X19)
| k7_conlat_2(X19) = g2_conlat_1(u2_conlat_1(X19),u1_conlat_1(X19),k6_relset_1(u1_conlat_1(X19),u2_conlat_1(X19),u3_conlat_1(X19))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])]) ).
cnf(c_0_29,plain,
( k6_relset_1(u1_conlat_1(X1),u2_conlat_1(X1),u3_conlat_1(X1)) = k4_relat_1(u3_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_30,negated_conjecture,
l2_conlat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_31,plain,
! [X33] :
( ( ~ v3_conlat_1(k7_conlat_2(X33))
| v3_conlat_1(X33)
| ~ l2_conlat_1(X33) )
& ( v4_conlat_1(k7_conlat_2(X33))
| v3_conlat_1(X33)
| ~ l2_conlat_1(X33) )
& ( l2_conlat_1(k7_conlat_2(X33))
| v3_conlat_1(X33)
| ~ l2_conlat_1(X33) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])]) ).
fof(c_0_32,plain,
! [X64,X65,X66,X67,X68,X69] :
( ( X64 = X67
| g2_conlat_1(X64,X65,X66) != g2_conlat_1(X67,X68,X69)
| ~ m1_relset_1(X66,X64,X65) )
& ( X65 = X68
| g2_conlat_1(X64,X65,X66) != g2_conlat_1(X67,X68,X69)
| ~ m1_relset_1(X66,X64,X65) )
& ( X66 = X69
| g2_conlat_1(X64,X65,X66) != g2_conlat_1(X67,X68,X69)
| ~ m1_relset_1(X66,X64,X65) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[free_g2_conlat_1])])])]) ).
cnf(c_0_33,negated_conjecture,
~ v3_conlat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_34,plain,
( v3_conlat_1(X1)
| k7_conlat_2(X1) = g2_conlat_1(u2_conlat_1(X1),u1_conlat_1(X1),k6_relset_1(u1_conlat_1(X1),u2_conlat_1(X1),u3_conlat_1(X1)))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_35,negated_conjecture,
k6_relset_1(u1_conlat_1(esk1_0),u2_conlat_1(esk1_0),u3_conlat_1(esk1_0)) = k4_relat_1(u3_conlat_1(esk1_0)),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
fof(c_0_36,plain,
! [X9] :
( ~ l2_conlat_1(X9)
| ~ v4_conlat_1(X9)
| X9 = g2_conlat_1(u1_conlat_1(X9),u2_conlat_1(X9),u3_conlat_1(X9)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[abstractness_v4_conlat_1])]) ).
cnf(c_0_37,plain,
( v4_conlat_1(k7_conlat_2(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_38,plain,
( l2_conlat_1(k7_conlat_2(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_39,plain,
! [X1,X2] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1)
& ~ v7_conlat_1(X2,X1)
& v9_conlat_1(X2,X1)
& l3_conlat_1(X2,X1) )
=> k9_conlat_2(X1,X2) = k8_conlat_2(X1,X2) ),
inference(fof_simplification,[status(thm)],[redefinition_k9_conlat_2]) ).
fof(c_0_40,plain,
! [X1,X2] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1)
& ~ v7_conlat_1(X2,X1)
& v9_conlat_1(X2,X1)
& l3_conlat_1(X2,X1) )
=> ( v6_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1))
& ~ v7_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1))
& v9_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1))
& l3_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k9_conlat_2]) ).
fof(c_0_41,plain,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> ! [X2] :
( l3_conlat_1(X2,X1)
=> ! [X3] :
( ( v6_conlat_1(X3,k7_conlat_2(X1))
& l3_conlat_1(X3,k7_conlat_2(X1)) )
=> ( X3 = k8_conlat_2(X1,X2)
<=> ( u4_conlat_1(k7_conlat_2(X1),X3) = u5_conlat_1(X1,X2)
& u5_conlat_1(k7_conlat_2(X1),X3) = u4_conlat_1(X1,X2) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[d8_conlat_2]) ).
fof(c_0_42,plain,
! [X1,X2] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1)
& l3_conlat_1(X2,X1) )
=> ( v6_conlat_1(k8_conlat_2(X1,X2),k7_conlat_2(X1))
& l3_conlat_1(k8_conlat_2(X1,X2),k7_conlat_2(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k8_conlat_2]) ).
cnf(c_0_43,plain,
( X1 = X2
| g2_conlat_1(X3,X1,X4) != g2_conlat_1(X5,X2,X6)
| ~ m1_relset_1(X4,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_44,negated_conjecture,
g2_conlat_1(u2_conlat_1(esk1_0),u1_conlat_1(esk1_0),k4_relat_1(u3_conlat_1(esk1_0))) = k7_conlat_2(esk1_0),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_30])]),c_0_35]) ).
cnf(c_0_45,plain,
( X1 = g2_conlat_1(u1_conlat_1(X1),u2_conlat_1(X1),u3_conlat_1(X1))
| ~ l2_conlat_1(X1)
| ~ v4_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_46,negated_conjecture,
v4_conlat_1(k7_conlat_2(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_37]),c_0_30])]) ).
cnf(c_0_47,negated_conjecture,
l2_conlat_1(k7_conlat_2(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_38]),c_0_30])]) ).
fof(c_0_48,plain,
! [X105,X106] :
( v3_conlat_1(X105)
| ~ l2_conlat_1(X105)
| v7_conlat_1(X106,X105)
| ~ v9_conlat_1(X106,X105)
| ~ l3_conlat_1(X106,X105)
| k9_conlat_2(X105,X106) = k8_conlat_2(X105,X106) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])]) ).
fof(c_0_49,plain,
! [X36,X37] :
( ( v6_conlat_1(k9_conlat_2(X36,X37),k7_conlat_2(X36))
| v3_conlat_1(X36)
| ~ l2_conlat_1(X36)
| v7_conlat_1(X37,X36)
| ~ v9_conlat_1(X37,X36)
| ~ l3_conlat_1(X37,X36) )
& ( ~ v7_conlat_1(k9_conlat_2(X36,X37),k7_conlat_2(X36))
| v3_conlat_1(X36)
| ~ l2_conlat_1(X36)
| v7_conlat_1(X37,X36)
| ~ v9_conlat_1(X37,X36)
| ~ l3_conlat_1(X37,X36) )
& ( v9_conlat_1(k9_conlat_2(X36,X37),k7_conlat_2(X36))
| v3_conlat_1(X36)
| ~ l2_conlat_1(X36)
| v7_conlat_1(X37,X36)
| ~ v9_conlat_1(X37,X36)
| ~ l3_conlat_1(X37,X36) )
& ( l3_conlat_1(k9_conlat_2(X36,X37),k7_conlat_2(X36))
| v3_conlat_1(X36)
| ~ l2_conlat_1(X36)
| v7_conlat_1(X37,X36)
| ~ v9_conlat_1(X37,X36)
| ~ l3_conlat_1(X37,X36) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])]) ).
fof(c_0_50,plain,
! [X20,X21,X22] :
( ( u4_conlat_1(k7_conlat_2(X20),X22) = u5_conlat_1(X20,X21)
| X22 != k8_conlat_2(X20,X21)
| ~ v6_conlat_1(X22,k7_conlat_2(X20))
| ~ l3_conlat_1(X22,k7_conlat_2(X20))
| ~ l3_conlat_1(X21,X20)
| v3_conlat_1(X20)
| ~ l2_conlat_1(X20) )
& ( u5_conlat_1(k7_conlat_2(X20),X22) = u4_conlat_1(X20,X21)
| X22 != k8_conlat_2(X20,X21)
| ~ v6_conlat_1(X22,k7_conlat_2(X20))
| ~ l3_conlat_1(X22,k7_conlat_2(X20))
| ~ l3_conlat_1(X21,X20)
| v3_conlat_1(X20)
| ~ l2_conlat_1(X20) )
& ( u4_conlat_1(k7_conlat_2(X20),X22) != u5_conlat_1(X20,X21)
| u5_conlat_1(k7_conlat_2(X20),X22) != u4_conlat_1(X20,X21)
| X22 = k8_conlat_2(X20,X21)
| ~ v6_conlat_1(X22,k7_conlat_2(X20))
| ~ l3_conlat_1(X22,k7_conlat_2(X20))
| ~ l3_conlat_1(X21,X20)
| v3_conlat_1(X20)
| ~ l2_conlat_1(X20) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])])])]) ).
fof(c_0_51,plain,
! [X34,X35] :
( ( v6_conlat_1(k8_conlat_2(X34,X35),k7_conlat_2(X34))
| v3_conlat_1(X34)
| ~ l2_conlat_1(X34)
| ~ l3_conlat_1(X35,X34) )
& ( l3_conlat_1(k8_conlat_2(X34,X35),k7_conlat_2(X34))
| v3_conlat_1(X34)
| ~ l2_conlat_1(X34)
| ~ l3_conlat_1(X35,X34) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_42])])]) ).
cnf(c_0_52,negated_conjecture,
( X1 = u1_conlat_1(esk1_0)
| g2_conlat_1(X2,X1,X3) != k7_conlat_2(esk1_0)
| ~ m1_relset_1(X3,X2,X1) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_53,negated_conjecture,
g2_conlat_1(u1_conlat_1(k7_conlat_2(esk1_0)),u2_conlat_1(k7_conlat_2(esk1_0)),u3_conlat_1(k7_conlat_2(esk1_0))) = k7_conlat_2(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47])]) ).
cnf(c_0_54,plain,
( v3_conlat_1(X1)
| ~ v3_conlat_1(k7_conlat_2(X1))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_55,plain,
( v3_conlat_1(X1)
| v7_conlat_1(X2,X1)
| k9_conlat_2(X1,X2) = k8_conlat_2(X1,X2)
| ~ l2_conlat_1(X1)
| ~ v9_conlat_1(X2,X1)
| ~ l3_conlat_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_56,plain,
( l3_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1))
| v3_conlat_1(X1)
| v7_conlat_1(X2,X1)
| ~ l2_conlat_1(X1)
| ~ v9_conlat_1(X2,X1)
| ~ l3_conlat_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_57,plain,
( v3_conlat_1(X1)
| v7_conlat_1(X2,X1)
| ~ v7_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1))
| ~ l2_conlat_1(X1)
| ~ v9_conlat_1(X2,X1)
| ~ l3_conlat_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_58,plain,
( u5_conlat_1(k7_conlat_2(X1),X2) = u4_conlat_1(X1,X3)
| v3_conlat_1(X1)
| X2 != k8_conlat_2(X1,X3)
| ~ v6_conlat_1(X2,k7_conlat_2(X1))
| ~ l3_conlat_1(X2,k7_conlat_2(X1))
| ~ l3_conlat_1(X3,X1)
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_59,plain,
( v6_conlat_1(k8_conlat_2(X1,X2),k7_conlat_2(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1)
| ~ l3_conlat_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_60,plain,
( l3_conlat_1(k8_conlat_2(X1,X2),k7_conlat_2(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1)
| ~ l3_conlat_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_61,plain,
( u4_conlat_1(k7_conlat_2(X1),X2) = u5_conlat_1(X1,X3)
| v3_conlat_1(X1)
| X2 != k8_conlat_2(X1,X3)
| ~ v6_conlat_1(X2,k7_conlat_2(X1))
| ~ l3_conlat_1(X2,k7_conlat_2(X1))
| ~ l3_conlat_1(X3,X1)
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_62,negated_conjecture,
( u2_conlat_1(k7_conlat_2(esk1_0)) = u1_conlat_1(esk1_0)
| ~ m1_relset_1(u3_conlat_1(k7_conlat_2(esk1_0)),u1_conlat_1(k7_conlat_2(esk1_0)),u2_conlat_1(k7_conlat_2(esk1_0))) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_63,plain,
( k8_conlat_2(k7_conlat_2(X1),X2) = k9_conlat_2(k7_conlat_2(X1),X2)
| v7_conlat_1(X2,k7_conlat_2(X1))
| v3_conlat_1(X1)
| ~ l3_conlat_1(X2,k7_conlat_2(X1))
| ~ v9_conlat_1(X2,k7_conlat_2(X1))
| ~ l2_conlat_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_38]) ).
cnf(c_0_64,negated_conjecture,
( l3_conlat_1(k9_conlat_2(esk1_0,X1),k7_conlat_2(esk1_0))
| v7_conlat_1(X1,esk1_0)
| ~ l3_conlat_1(X1,esk1_0)
| ~ v9_conlat_1(X1,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_56]),c_0_30])]) ).
cnf(c_0_65,negated_conjecture,
v9_conlat_1(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_66,negated_conjecture,
l3_conlat_1(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_67,negated_conjecture,
~ v7_conlat_1(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_68,negated_conjecture,
( v7_conlat_1(X1,esk1_0)
| ~ l3_conlat_1(X1,esk1_0)
| ~ v9_conlat_1(X1,esk1_0)
| ~ v7_conlat_1(k9_conlat_2(esk1_0,X1),k7_conlat_2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_57]),c_0_30])]) ).
cnf(c_0_69,plain,
( v6_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1))
| v3_conlat_1(X1)
| v7_conlat_1(X2,X1)
| ~ l2_conlat_1(X1)
| ~ v9_conlat_1(X2,X1)
| ~ l3_conlat_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_70,plain,
( u5_conlat_1(k7_conlat_2(X1),k8_conlat_2(X1,X2)) = u4_conlat_1(X1,X2)
| v3_conlat_1(X1)
| ~ l3_conlat_1(X2,X1)
| ~ l2_conlat_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_58]),c_0_59]),c_0_60]) ).
cnf(c_0_71,plain,
( u4_conlat_1(k7_conlat_2(X1),k8_conlat_2(X1,X2)) = u5_conlat_1(X1,X2)
| v3_conlat_1(X1)
| ~ l3_conlat_1(X2,X1)
| ~ l2_conlat_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_61]),c_0_59]),c_0_60]) ).
cnf(c_0_72,plain,
( X1 = X2
| g2_conlat_1(X1,X3,X4) != g2_conlat_1(X2,X5,X6)
| ~ m1_relset_1(X4,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_73,negated_conjecture,
u2_conlat_1(k7_conlat_2(esk1_0)) = u1_conlat_1(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_25]),c_0_47])]) ).
cnf(c_0_74,negated_conjecture,
( k8_conlat_2(k7_conlat_2(esk1_0),X1) = k9_conlat_2(k7_conlat_2(esk1_0),X1)
| v7_conlat_1(X1,k7_conlat_2(esk1_0))
| ~ l3_conlat_1(X1,k7_conlat_2(esk1_0))
| ~ v9_conlat_1(X1,k7_conlat_2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_63]),c_0_30])]) ).
cnf(c_0_75,negated_conjecture,
l3_conlat_1(k9_conlat_2(esk1_0,esk2_0),k7_conlat_2(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_66])]),c_0_67]) ).
cnf(c_0_76,negated_conjecture,
~ v7_conlat_1(k9_conlat_2(esk1_0,esk2_0),k7_conlat_2(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_66]),c_0_65])]),c_0_67]) ).
cnf(c_0_77,plain,
( v9_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1))
| v3_conlat_1(X1)
| v7_conlat_1(X2,X1)
| ~ l2_conlat_1(X1)
| ~ v9_conlat_1(X2,X1)
| ~ l3_conlat_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_78,plain,
( v7_conlat_1(X1,k7_conlat_2(X2))
| v6_conlat_1(k9_conlat_2(k7_conlat_2(X2),X1),k7_conlat_2(k7_conlat_2(X2)))
| v3_conlat_1(X2)
| ~ l3_conlat_1(X1,k7_conlat_2(X2))
| ~ v9_conlat_1(X1,k7_conlat_2(X2))
| ~ l2_conlat_1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_69]),c_0_38]) ).
cnf(c_0_79,negated_conjecture,
( u5_conlat_1(k7_conlat_2(esk1_0),k8_conlat_2(esk1_0,X1)) = u4_conlat_1(esk1_0,X1)
| ~ l3_conlat_1(X1,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_70]),c_0_30])]) ).
cnf(c_0_80,negated_conjecture,
( k8_conlat_2(esk1_0,X1) = k9_conlat_2(esk1_0,X1)
| v7_conlat_1(X1,esk1_0)
| ~ l3_conlat_1(X1,esk1_0)
| ~ v9_conlat_1(X1,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_55]),c_0_30])]) ).
cnf(c_0_81,negated_conjecture,
( u4_conlat_1(k7_conlat_2(esk1_0),k8_conlat_2(esk1_0,X1)) = u5_conlat_1(esk1_0,X1)
| ~ l3_conlat_1(X1,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_71]),c_0_30])]) ).
cnf(c_0_82,negated_conjecture,
( X1 = u2_conlat_1(esk1_0)
| g2_conlat_1(X1,X2,X3) != k7_conlat_2(esk1_0)
| ~ m1_relset_1(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_72,c_0_44]) ).
cnf(c_0_83,negated_conjecture,
g2_conlat_1(u1_conlat_1(k7_conlat_2(esk1_0)),u1_conlat_1(esk1_0),u3_conlat_1(k7_conlat_2(esk1_0))) = k7_conlat_2(esk1_0),
inference(rw,[status(thm)],[c_0_53,c_0_73]) ).
cnf(c_0_84,negated_conjecture,
m1_relset_1(u3_conlat_1(k7_conlat_2(esk1_0)),u1_conlat_1(k7_conlat_2(esk1_0)),u1_conlat_1(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_73]),c_0_47])]) ).
fof(c_0_85,plain,
! [X76] :
( ~ v1_relat_1(X76)
| k4_relat_1(k4_relat_1(X76)) = X76 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[involutiveness_k4_relat_1])]) ).
fof(c_0_86,plain,
! [X14,X15,X16] :
( ~ m1_subset_1(X16,k1_zfmisc_1(k2_zfmisc_1(X14,X15)))
| v1_relat_1(X16) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relset_1])]) ).
fof(c_0_87,plain,
! [X39,X40,X41] :
( ~ m2_relset_1(X41,X39,X40)
| m1_subset_1(X41,k1_zfmisc_1(k2_zfmisc_1(X39,X40))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_relset_1])]) ).
cnf(c_0_88,plain,
( l3_conlat_1(k8_conlat_2(k7_conlat_2(X1),X2),k7_conlat_2(k7_conlat_2(X1)))
| v3_conlat_1(X1)
| ~ l3_conlat_1(X2,k7_conlat_2(X1))
| ~ l2_conlat_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_60]),c_0_38]) ).
cnf(c_0_89,negated_conjecture,
( k8_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0)) = k9_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0))
| ~ v9_conlat_1(k9_conlat_2(esk1_0,esk2_0),k7_conlat_2(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76]) ).
cnf(c_0_90,negated_conjecture,
( v9_conlat_1(k9_conlat_2(esk1_0,X1),k7_conlat_2(esk1_0))
| v7_conlat_1(X1,esk1_0)
| ~ l3_conlat_1(X1,esk1_0)
| ~ v9_conlat_1(X1,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_77]),c_0_30])]) ).
cnf(c_0_91,negated_conjecture,
( v7_conlat_1(X1,k7_conlat_2(esk1_0))
| v6_conlat_1(k9_conlat_2(k7_conlat_2(esk1_0),X1),k7_conlat_2(k7_conlat_2(esk1_0)))
| ~ l3_conlat_1(X1,k7_conlat_2(esk1_0))
| ~ v9_conlat_1(X1,k7_conlat_2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_78]),c_0_30])]) ).
cnf(c_0_92,plain,
( u4_conlat_1(k7_conlat_2(k7_conlat_2(X1)),k8_conlat_2(k7_conlat_2(X1),X2)) = u5_conlat_1(k7_conlat_2(X1),X2)
| v3_conlat_1(X1)
| ~ l3_conlat_1(X2,k7_conlat_2(X1))
| ~ l2_conlat_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_71]),c_0_38]) ).
cnf(c_0_93,negated_conjecture,
u5_conlat_1(k7_conlat_2(esk1_0),k8_conlat_2(esk1_0,esk2_0)) = u4_conlat_1(esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_79,c_0_66]) ).
cnf(c_0_94,negated_conjecture,
k8_conlat_2(esk1_0,esk2_0) = k9_conlat_2(esk1_0,esk2_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_66]),c_0_65])]),c_0_67]) ).
cnf(c_0_95,plain,
( u5_conlat_1(k7_conlat_2(k7_conlat_2(X1)),k8_conlat_2(k7_conlat_2(X1),X2)) = u4_conlat_1(k7_conlat_2(X1),X2)
| v3_conlat_1(X1)
| ~ l3_conlat_1(X2,k7_conlat_2(X1))
| ~ l2_conlat_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_70]),c_0_38]) ).
cnf(c_0_96,negated_conjecture,
u4_conlat_1(k7_conlat_2(esk1_0),k8_conlat_2(esk1_0,esk2_0)) = u5_conlat_1(esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_81,c_0_66]) ).
cnf(c_0_97,negated_conjecture,
u1_conlat_1(k7_conlat_2(esk1_0)) = u2_conlat_1(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_84])]) ).
cnf(c_0_98,plain,
( k4_relat_1(k4_relat_1(X1)) = X1
| ~ v1_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_99,plain,
( v1_relat_1(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_100,plain,
( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
fof(c_0_101,plain,
! [X10,X11] :
( ~ l1_conlat_1(X10)
| ~ l3_conlat_1(X11,X10)
| ~ v6_conlat_1(X11,X10)
| X11 = g3_conlat_1(X10,u4_conlat_1(X10,X11),u5_conlat_1(X10,X11)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[abstractness_v6_conlat_1])]) ).
cnf(c_0_102,negated_conjecture,
( l3_conlat_1(k8_conlat_2(k7_conlat_2(esk1_0),X1),k7_conlat_2(k7_conlat_2(esk1_0)))
| ~ l3_conlat_1(X1,k7_conlat_2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_88]),c_0_30])]) ).
cnf(c_0_103,negated_conjecture,
k8_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0)) = k9_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_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_89,c_0_90]),c_0_66]),c_0_65])]),c_0_67]) ).
cnf(c_0_104,negated_conjecture,
( v6_conlat_1(k9_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0)),k7_conlat_2(k7_conlat_2(esk1_0)))
| ~ v9_conlat_1(k9_conlat_2(esk1_0,esk2_0),k7_conlat_2(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_75]),c_0_76]) ).
cnf(c_0_105,negated_conjecture,
( u4_conlat_1(k7_conlat_2(k7_conlat_2(esk1_0)),k8_conlat_2(k7_conlat_2(esk1_0),X1)) = u5_conlat_1(k7_conlat_2(esk1_0),X1)
| ~ l3_conlat_1(X1,k7_conlat_2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_92]),c_0_30])]) ).
cnf(c_0_106,negated_conjecture,
u5_conlat_1(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0)) = u4_conlat_1(esk1_0,esk2_0),
inference(rw,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_107,negated_conjecture,
( u5_conlat_1(k7_conlat_2(k7_conlat_2(esk1_0)),k8_conlat_2(k7_conlat_2(esk1_0),X1)) = u4_conlat_1(k7_conlat_2(esk1_0),X1)
| ~ l3_conlat_1(X1,k7_conlat_2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_95]),c_0_30])]) ).
cnf(c_0_108,negated_conjecture,
u4_conlat_1(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0)) = u5_conlat_1(esk1_0,esk2_0),
inference(rw,[status(thm)],[c_0_96,c_0_94]) ).
cnf(c_0_109,plain,
( X1 = X2
| g2_conlat_1(X3,X4,X1) != g2_conlat_1(X5,X6,X2)
| ~ m1_relset_1(X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_110,negated_conjecture,
g2_conlat_1(u2_conlat_1(esk1_0),u1_conlat_1(esk1_0),u3_conlat_1(k7_conlat_2(esk1_0))) = k7_conlat_2(esk1_0),
inference(rw,[status(thm)],[c_0_83,c_0_97]) ).
cnf(c_0_111,negated_conjecture,
m1_relset_1(u3_conlat_1(k7_conlat_2(esk1_0)),u2_conlat_1(esk1_0),u1_conlat_1(esk1_0)),
inference(rw,[status(thm)],[c_0_84,c_0_97]) ).
cnf(c_0_112,plain,
( k4_relat_1(k4_relat_1(X1)) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_113,plain,
( m1_subset_1(u3_conlat_1(X1),k1_zfmisc_1(k2_zfmisc_1(u1_conlat_1(X1),u2_conlat_1(X1))))
| ~ l2_conlat_1(X1) ),
inference(spm,[status(thm)],[c_0_100,c_0_21]) ).
cnf(c_0_114,plain,
( X2 = g3_conlat_1(X1,u4_conlat_1(X1,X2),u5_conlat_1(X1,X2))
| ~ l1_conlat_1(X1)
| ~ l3_conlat_1(X2,X1)
| ~ v6_conlat_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_115,negated_conjecture,
l3_conlat_1(k9_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0)),k7_conlat_2(k7_conlat_2(esk1_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_75])]) ).
cnf(c_0_116,negated_conjecture,
v6_conlat_1(k9_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0)),k7_conlat_2(k7_conlat_2(esk1_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_90]),c_0_66]),c_0_65])]),c_0_67]) ).
cnf(c_0_117,negated_conjecture,
u4_conlat_1(k7_conlat_2(k7_conlat_2(esk1_0)),k9_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0))) = u4_conlat_1(esk1_0,esk2_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_75]),c_0_103]),c_0_106]) ).
cnf(c_0_118,negated_conjecture,
u5_conlat_1(k7_conlat_2(k7_conlat_2(esk1_0)),k9_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0))) = u5_conlat_1(esk1_0,esk2_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_75]),c_0_103]),c_0_108]) ).
fof(c_0_119,plain,
! [X38] :
( ~ l2_conlat_1(X38)
| l1_conlat_1(X38) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l2_conlat_1])]) ).
cnf(c_0_120,plain,
( l2_conlat_1(k7_conlat_2(k7_conlat_2(X1)))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_38]),c_0_38]) ).
cnf(c_0_121,negated_conjecture,
( u3_conlat_1(k7_conlat_2(esk1_0)) = X1
| g2_conlat_1(X2,X3,X1) != k7_conlat_2(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_111])]) ).
cnf(c_0_122,plain,
( k4_relat_1(k4_relat_1(u3_conlat_1(X1))) = u3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_123,negated_conjecture,
v4_conlat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_124,negated_conjecture,
v6_conlat_1(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_125,negated_conjecture,
( g3_conlat_1(k7_conlat_2(k7_conlat_2(esk1_0)),u4_conlat_1(esk1_0,esk2_0),u5_conlat_1(esk1_0,esk2_0)) = k9_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0))
| ~ l1_conlat_1(k7_conlat_2(k7_conlat_2(esk1_0))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_116])]),c_0_117]),c_0_118]) ).
cnf(c_0_126,plain,
( l1_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_127,negated_conjecture,
l2_conlat_1(k7_conlat_2(k7_conlat_2(esk1_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_120]),c_0_30])]) ).
cnf(c_0_128,plain,
( g2_conlat_1(u2_conlat_1(k7_conlat_2(X1)),u1_conlat_1(k7_conlat_2(X1)),k6_relset_1(u1_conlat_1(k7_conlat_2(X1)),u2_conlat_1(k7_conlat_2(X1)),u3_conlat_1(k7_conlat_2(X1)))) = k7_conlat_2(k7_conlat_2(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_34]),c_0_38]) ).
cnf(c_0_129,negated_conjecture,
k6_relset_1(u1_conlat_1(k7_conlat_2(esk1_0)),u2_conlat_1(k7_conlat_2(esk1_0)),u3_conlat_1(k7_conlat_2(esk1_0))) = k4_relat_1(u3_conlat_1(k7_conlat_2(esk1_0))),
inference(spm,[status(thm)],[c_0_29,c_0_47]) ).
cnf(c_0_130,negated_conjecture,
u3_conlat_1(k7_conlat_2(esk1_0)) = k4_relat_1(u3_conlat_1(esk1_0)),
inference(spm,[status(thm)],[c_0_121,c_0_44]) ).
cnf(c_0_131,negated_conjecture,
k4_relat_1(k4_relat_1(u3_conlat_1(esk1_0))) = u3_conlat_1(esk1_0),
inference(spm,[status(thm)],[c_0_122,c_0_30]) ).
cnf(c_0_132,negated_conjecture,
g2_conlat_1(u1_conlat_1(esk1_0),u2_conlat_1(esk1_0),u3_conlat_1(esk1_0)) = esk1_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_123]),c_0_30])]) ).
cnf(c_0_133,negated_conjecture,
( g3_conlat_1(esk1_0,u4_conlat_1(esk1_0,esk2_0),u5_conlat_1(esk1_0,esk2_0)) = esk2_0
| ~ l1_conlat_1(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_66]),c_0_124])]) ).
cnf(c_0_134,negated_conjecture,
g3_conlat_1(k7_conlat_2(k7_conlat_2(esk1_0)),u4_conlat_1(esk1_0,esk2_0),u5_conlat_1(esk1_0,esk2_0)) = k9_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_127])]) ).
cnf(c_0_135,negated_conjecture,
k7_conlat_2(k7_conlat_2(esk1_0)) = esk1_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_128]),c_0_129]),c_0_30])]),c_0_73]),c_0_97]),c_0_130]),c_0_131]),c_0_132]) ).
cnf(c_0_136,negated_conjecture,
g3_conlat_1(esk1_0,u4_conlat_1(esk1_0,esk2_0),u5_conlat_1(esk1_0,esk2_0)) = esk2_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_126]),c_0_30])]) ).
cnf(c_0_137,negated_conjecture,
k9_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0)) != esk2_0,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_138,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_134,c_0_135]),c_0_136]),c_0_137]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : LAT345+1 : TPTP v8.1.2. Released v3.4.0.
% 0.04/0.14 % Command : run_E %s %d THM
% 0.13/0.35 % Computer : n017.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 2400
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Oct 2 09:41:56 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.49 Running first-order model finding
% 0.20/0.49 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/tmp/tmp.wxs538nDrW/E---3.1_13784.p
% 1831.17/231.11 # Version: 3.1pre001
% 1831.17/231.11 # Preprocessing class: FSLSSMSSSSSNFFN.
% 1831.17/231.11 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1831.17/231.11 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1831.17/231.11 # Starting new_bool_3 with 300s (1) cores
% 1831.17/231.11 # Starting new_bool_1 with 300s (1) cores
% 1831.17/231.11 # Starting sh5l with 300s (1) cores
% 1831.17/231.11 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 13864 completed with status 0
% 1831.17/231.11 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 1831.17/231.11 # Preprocessing class: FSLSSMSSSSSNFFN.
% 1831.17/231.11 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1831.17/231.11 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1831.17/231.11 # No SInE strategy applied
% 1831.17/231.11 # Search class: FGHSM-FFMM31-MFFFFFNN
% 1831.17/231.11 # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 1831.17/231.11 # Starting G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S with 113s (1) cores
% 1831.17/231.11 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 1831.17/231.11 # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SE_S0Y with 113s (1) cores
% 1831.17/231.11 # Starting G-E--_103_C18_F1_PI_AE_Q4_CS_SP_S0Y with 113s (1) cores
% 1831.17/231.11 # Starting U----_206c_02_C11_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 1831.17/231.11 # G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S with pid 13871 completed with status 7
% 1831.17/231.11 # Starting G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4d with 113s (1) cores
% 1831.17/231.11 # G-E--_103_C18_F1_PI_AE_Q4_CS_SP_S0Y with pid 13874 completed with status 7
% 1831.17/231.11 # Starting G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AA with 113s (1) cores
% 1831.17/231.11 # U----_206c_02_C11_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with pid 13875 completed with status 7
% 1831.17/231.11 # Starting G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4c with 113s (1) cores
% 1831.17/231.11 # G-N--_023_B07_F1_SP_PI_Q7_CS_SE_S0Y with pid 13873 completed with status 7
% 1831.17/231.11 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I with 113s (1) cores
% 1831.17/231.11 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 13872 completed with status 7
% 1831.17/231.11 # Starting G-E--_208_B07_F1_AE_CS_SP_PS_S5PRR_S0Y with 113s (1) cores
% 1831.17/231.11 # G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4d with pid 15216 completed with status 7
% 1831.17/231.11 # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S0YI with 113s (1) cores
% 1831.17/231.11 # G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AA with pid 15217 completed with status 7
% 1831.17/231.11 # Starting G-E--_208_C12_02_nc_F1_SE_CS_SP_PS_S070I with 113s (1) cores
% 1831.17/231.11 # G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4c with pid 15218 completed with status 7
% 1831.17/231.11 # Starting G-E--_208_C12_02_nc_F1_SE_CS_SP_PS_S5PRR_RG_S070I with 106s (1) cores
% 1831.17/231.11 # G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I with pid 15219 completed with status 7
% 1831.17/231.11 # G-E--_208_C12_02_nc_F1_SE_CS_SP_PS_S070I with pid 15299 completed with status 0
% 1831.17/231.11 # Result found by G-E--_208_C12_02_nc_F1_SE_CS_SP_PS_S070I
% 1831.17/231.11 # Preprocessing class: FSLSSMSSSSSNFFN.
% 1831.17/231.11 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1831.17/231.11 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1831.17/231.11 # No SInE strategy applied
% 1831.17/231.11 # Search class: FGHSM-FFMM31-MFFFFFNN
% 1831.17/231.11 # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 1831.17/231.11 # Starting G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S with 113s (1) cores
% 1831.17/231.11 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 1831.17/231.11 # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SE_S0Y with 113s (1) cores
% 1831.17/231.11 # Starting G-E--_103_C18_F1_PI_AE_Q4_CS_SP_S0Y with 113s (1) cores
% 1831.17/231.11 # Starting U----_206c_02_C11_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 1831.17/231.11 # G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S with pid 13871 completed with status 7
% 1831.17/231.11 # Starting G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4d with 113s (1) cores
% 1831.17/231.11 # G-E--_103_C18_F1_PI_AE_Q4_CS_SP_S0Y with pid 13874 completed with status 7
% 1831.17/231.11 # Starting G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AA with 113s (1) cores
% 1831.17/231.11 # U----_206c_02_C11_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with pid 13875 completed with status 7
% 1831.17/231.11 # Starting G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4c with 113s (1) cores
% 1831.17/231.11 # G-N--_023_B07_F1_SP_PI_Q7_CS_SE_S0Y with pid 13873 completed with status 7
% 1831.17/231.11 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I with 113s (1) cores
% 1831.17/231.11 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 13872 completed with status 7
% 1831.17/231.11 # Starting G-E--_208_B07_F1_AE_CS_SP_PS_S5PRR_S0Y with 113s (1) cores
% 1831.17/231.11 # G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4d with pid 15216 completed with status 7
% 1831.17/231.11 # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S0YI with 113s (1) cores
% 1831.17/231.11 # G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AA with pid 15217 completed with status 7
% 1831.17/231.11 # Starting G-E--_208_C12_02_nc_F1_SE_CS_SP_PS_S070I with 113s (1) cores
% 1831.17/231.11 # Preprocessing time : 0.003 s
% 1831.17/231.11 # Presaturation interreduction done
% 1831.17/231.11
% 1831.17/231.11 # Proof found!
% 1831.17/231.11 # SZS status Theorem
% 1831.17/231.11 # SZS output start CNFRefutation
% See solution above
% 1831.17/231.11 # Parsed axioms : 69
% 1831.17/231.11 # Removed by relevancy pruning/SinE : 0
% 1831.17/231.11 # Initial clauses : 109
% 1831.17/231.11 # Removed in clause preprocessing : 9
% 1831.17/231.11 # Initial clauses in saturation : 100
% 1831.17/231.11 # Processed clauses : 11441
% 1831.17/231.11 # ...of these trivial : 865
% 1831.17/231.11 # ...subsumed : 3967
% 1831.17/231.11 # ...remaining for further processing : 6609
% 1831.17/231.11 # Other redundant clauses eliminated : 2
% 1831.17/231.11 # Clauses deleted for lack of memory : 0
% 1831.17/231.11 # Backward-subsumed : 752
% 1831.17/231.11 # Backward-rewritten : 718
% 1831.17/231.11 # Generated clauses : 102643
% 1831.17/231.11 # ...of the previous two non-redundant : 95962
% 1831.17/231.11 # ...aggressively subsumed : 0
% 1831.17/231.11 # Contextual simplify-reflections : 209
% 1831.17/231.11 # Paramodulations : 102511
% 1831.17/231.11 # Factorizations : 46
% 1831.17/231.11 # NegExts : 0
% 1831.17/231.11 # Equation resolutions : 86
% 1831.17/231.11 # Total rewrite steps : 25223
% 1831.17/231.11 # Propositional unsat checks : 0
% 1831.17/231.11 # Propositional check models : 0
% 1831.17/231.11 # Propositional check unsatisfiable : 0
% 1831.17/231.11 # Propositional clauses : 0
% 1831.17/231.11 # Propositional clauses after purity: 0
% 1831.17/231.11 # Propositional unsat core size : 0
% 1831.17/231.11 # Propositional preprocessing time : 0.000
% 1831.17/231.11 # Propositional encoding time : 0.000
% 1831.17/231.11 # Propositional solver time : 0.000
% 1831.17/231.11 # Success case prop preproc time : 0.000
% 1831.17/231.11 # Success case prop encoding time : 0.000
% 1831.17/231.11 # Success case prop solver time : 0.000
% 1831.17/231.11 # Current number of processed clauses : 5037
% 1831.17/231.11 # Positive orientable unit clauses : 394
% 1831.17/231.11 # Positive unorientable unit clauses: 0
% 1831.17/231.11 # Negative unit clauses : 99
% 1831.17/231.11 # Non-unit-clauses : 4544
% 1831.17/231.11 # Current number of unprocessed clauses: 84245
% 1831.17/231.11 # ...number of literals in the above : 390136
% 1831.17/231.11 # Current number of archived formulas : 0
% 1831.17/231.11 # Current number of archived clauses : 1570
% 1831.17/231.11 # Clause-clause subsumption calls (NU) : 4402620
% 1831.17/231.11 # Rec. Clause-clause subsumption calls : 2200097
% 1831.17/231.11 # Non-unit clause-clause subsumptions : 4343
% 1831.17/231.11 # Unit Clause-clause subsumption calls : 16295
% 1831.17/231.11 # Rewrite failures with RHS unbound : 0
% 1831.17/231.11 # BW rewrite match attempts : 5643
% 1831.17/231.11 # BW rewrite match successes : 141
% 1831.17/231.11 # Condensation attempts : 0
% 1831.17/231.11 # Condensation successes : 0
% 1831.17/231.11 # Termbank termtop insertions : 2389420
% 1831.17/231.11
% 1831.17/231.11 # -------------------------------------------------
% 1831.17/231.11 # User time : 1047.834 s
% 1831.17/231.11 # System time : 12.075 s
% 1831.17/231.11 # Total time : 1059.909 s
% 1831.17/231.11 # Maximum resident set size: 2028 pages
% 1831.17/231.11
% 1831.17/231.11 # -------------------------------------------------
% 1831.17/231.11 # User time : 1130.785 s
% 1831.17/231.11 # System time : 13.699 s
% 1831.17/231.11 # Total time : 1144.483 s
% 1831.17/231.11 # Maximum resident set size: 1744 pages
% 1831.17/231.11 % E---3.1 exiting
%------------------------------------------------------------------------------