%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LAT345+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:05:01 PM UTC 2026
% Result : Theorem 4.73s 2.94s
% Output : CNFRefutation 4.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 17
% Syntax : Number of formulae : 140 ( 40 unt; 0 def)
% Number of atoms : 468 ( 105 equ)
% Maximal formula atoms : 24 ( 3 avg)
% Number of connectives : 527 ( 199 ~; 213 |; 78 &)
% ( 3 <=>; 34 =>; 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 : 190 ( 12 sgn 87 !; 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/benchmark/theBenchmark.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/benchmark/theBenchmark.p',dt_u3_conlat_1) ).
fof(t20_conlat_2,conjecture,
! [X1] :
( ( l2_conlat_1(X1)
& v4_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> ! [X2] :
( ( l3_conlat_1(X2,X1)
& v9_conlat_1(X2,X1)
& ~ v7_conlat_1(X2,X1)
& v6_conlat_1(X2,X1) )
=> k9_conlat_2(k7_conlat_2(X1),k9_conlat_2(X1,X2)) = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_conlat_2) ).
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/benchmark/theBenchmark.p',redefinition_k6_relset_1) ).
fof(d7_conlat_2,axiom,
! [X1] :
( ( l2_conlat_1(X1)
& ~ 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))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d7_conlat_2) ).
fof(dt_k7_conlat_2,axiom,
! [X1] :
( ( l2_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> ( l2_conlat_1(k7_conlat_2(X1))
& v4_conlat_1(k7_conlat_2(X1))
& ~ v3_conlat_1(k7_conlat_2(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.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)
=> ( X3 = X6
& X2 = X5
& X1 = X4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.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/benchmark/theBenchmark.p',abstractness_v4_conlat_1) ).
fof(redefinition_k9_conlat_2,axiom,
! [X1,X2] :
( ( l3_conlat_1(X2,X1)
& v9_conlat_1(X2,X1)
& ~ v7_conlat_1(X2,X1)
& l2_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> k9_conlat_2(X1,X2) = k8_conlat_2(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k9_conlat_2) ).
fof(dt_k9_conlat_2,axiom,
! [X1,X2] :
( ( l3_conlat_1(X2,X1)
& v9_conlat_1(X2,X1)
& ~ v7_conlat_1(X2,X1)
& l2_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> ( l3_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1))
& v9_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1))
& ~ v7_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1))
& v6_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k9_conlat_2) ).
fof(d8_conlat_2,axiom,
! [X1] :
( ( l2_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> ! [X2] :
( l3_conlat_1(X2,X1)
=> ! [X3] :
( ( l3_conlat_1(X3,k7_conlat_2(X1))
& v6_conlat_1(X3,k7_conlat_2(X1)) )
=> ( X3 = k8_conlat_2(X1,X2)
<=> ( u5_conlat_1(k7_conlat_2(X1),X3) = u4_conlat_1(X1,X2)
& u4_conlat_1(k7_conlat_2(X1),X3) = u5_conlat_1(X1,X2) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_conlat_2) ).
fof(dt_k8_conlat_2,axiom,
! [X1,X2] :
( ( l3_conlat_1(X2,X1)
& l2_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> ( l3_conlat_1(k8_conlat_2(X1,X2),k7_conlat_2(X1))
& v6_conlat_1(k8_conlat_2(X1,X2),k7_conlat_2(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.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/benchmark/theBenchmark.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/benchmark/theBenchmark.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/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(abstractness_v6_conlat_1,axiom,
! [X1,X2] :
( ( l3_conlat_1(X2,X1)
& l1_conlat_1(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/benchmark/theBenchmark.p',abstractness_v6_conlat_1) ).
fof(dt_l2_conlat_1,axiom,
! [X1] :
( l2_conlat_1(X1)
=> l1_conlat_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.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(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])])]) ).
fof(c_0_18,plain,
! [X42] :
( m2_relset_1(u3_conlat_1(X42),u1_conlat_1(X42),u2_conlat_1(X42))
| ~ l2_conlat_1(X42) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u3_conlat_1])])]) ).
fof(c_0_19,negated_conjecture,
~ ! [X1] :
( ( l2_conlat_1(X1)
& v4_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> ! [X2] :
( ( l3_conlat_1(X2,X1)
& v9_conlat_1(X2,X1)
& ~ v7_conlat_1(X2,X1)
& v6_conlat_1(X2,X1) )
=> k9_conlat_2(k7_conlat_2(X1),k9_conlat_2(X1,X2)) = X2 ) ),
inference(assume_negation,[status(cth)],[t20_conlat_2]) ).
fof(c_0_20,plain,
! [X102,X103,X104] :
( k6_relset_1(X102,X103,X104) = k4_relat_1(X104)
| ~ m1_relset_1(X104,X102,X103) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k6_relset_1])])]) ).
cnf(c_0_21,plain,
( ~ m2_relset_1(X1,X2,X3)
| m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_22,plain,
( ~ l2_conlat_1(X1)
| m2_relset_1(u3_conlat_1(X1),u1_conlat_1(X1),u2_conlat_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_23,negated_conjecture,
~ ! [X1] :
( ( l2_conlat_1(X1)
& v4_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> ! [X2] :
( ( l3_conlat_1(X2,X1)
& v9_conlat_1(X2,X1)
& ~ v7_conlat_1(X2,X1)
& v6_conlat_1(X2,X1) )
=> k9_conlat_2(k7_conlat_2(X1),k9_conlat_2(X1,X2)) = X2 ) ),
inference(fof_simplification,[status(thm)],[c_0_19]) ).
fof(c_0_24,plain,
! [X1] :
( ( l2_conlat_1(X1)
& ~ 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))) ),
inference(fof_simplification,[status(thm)],[d7_conlat_2]) ).
cnf(c_0_25,plain,
( ~ m1_relset_1(X1,X2,X3)
| k6_relset_1(X2,X3,X1) = k4_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_26,plain,
( ~ l2_conlat_1(X1)
| m1_relset_1(u3_conlat_1(X1),u1_conlat_1(X1),u2_conlat_1(X1)) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
fof(c_0_27,negated_conjecture,
( k9_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0)) != esk2_0
& l3_conlat_1(esk2_0,esk1_0)
& v9_conlat_1(esk2_0,esk1_0)
& ~ v7_conlat_1(esk2_0,esk1_0)
& v6_conlat_1(esk2_0,esk1_0)
& l2_conlat_1(esk1_0)
& v4_conlat_1(esk1_0)
& ~ v3_conlat_1(esk1_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])]) ).
fof(c_0_28,plain,
! [X1] :
( ( l2_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> ( l2_conlat_1(k7_conlat_2(X1))
& v4_conlat_1(k7_conlat_2(X1))
& ~ v3_conlat_1(k7_conlat_2(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k7_conlat_2]) ).
fof(c_0_29,plain,
! [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)))
| ~ l2_conlat_1(X19)
| v3_conlat_1(X19) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])]) ).
cnf(c_0_30,plain,
( ~ l2_conlat_1(X1)
| k6_relset_1(u1_conlat_1(X1),u2_conlat_1(X1),u3_conlat_1(X1)) = k4_relat_1(u3_conlat_1(X1)) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_31,negated_conjecture,
l2_conlat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_32,plain,
! [X33] :
( ( ~ l2_conlat_1(X33)
| v3_conlat_1(X33)
| l2_conlat_1(k7_conlat_2(X33)) )
& ( ~ l2_conlat_1(X33)
| v3_conlat_1(X33)
| v4_conlat_1(k7_conlat_2(X33)) )
& ( ~ l2_conlat_1(X33)
| v3_conlat_1(X33)
| ~ v3_conlat_1(k7_conlat_2(X33)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])])]) ).
fof(c_0_33,plain,
! [X64,X65,X66,X67,X68,X69] :
( ( ~ m1_relset_1(X66,X64,X65)
| g2_conlat_1(X64,X65,X66) != g2_conlat_1(X67,X68,X69)
| X66 = X69 )
& ( ~ m1_relset_1(X66,X64,X65)
| g2_conlat_1(X64,X65,X66) != g2_conlat_1(X67,X68,X69)
| X65 = X68 )
& ( ~ m1_relset_1(X66,X64,X65)
| g2_conlat_1(X64,X65,X66) != g2_conlat_1(X67,X68,X69)
| X64 = X67 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[free_g2_conlat_1])])])])]) ).
cnf(c_0_34,negated_conjecture,
~ v3_conlat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_35,plain,
( ~ 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)))
| v3_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_36,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_30,c_0_31]) ).
fof(c_0_37,plain,
! [X9] :
( X9 = g2_conlat_1(u1_conlat_1(X9),u2_conlat_1(X9),u3_conlat_1(X9))
| ~ v4_conlat_1(X9)
| ~ l2_conlat_1(X9) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[abstractness_v4_conlat_1])])]) ).
cnf(c_0_38,plain,
( ~ l2_conlat_1(X1)
| v3_conlat_1(X1)
| v4_conlat_1(k7_conlat_2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_39,plain,
( ~ l2_conlat_1(X1)
| v3_conlat_1(X1)
| l2_conlat_1(k7_conlat_2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_40,plain,
! [X1,X2] :
( ( l3_conlat_1(X2,X1)
& v9_conlat_1(X2,X1)
& ~ v7_conlat_1(X2,X1)
& l2_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> k9_conlat_2(X1,X2) = k8_conlat_2(X1,X2) ),
inference(fof_simplification,[status(thm)],[redefinition_k9_conlat_2]) ).
fof(c_0_41,plain,
! [X1,X2] :
( ( l3_conlat_1(X2,X1)
& v9_conlat_1(X2,X1)
& ~ v7_conlat_1(X2,X1)
& l2_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> ( l3_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1))
& v9_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1))
& ~ v7_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1))
& v6_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k9_conlat_2]) ).
fof(c_0_42,plain,
! [X1] :
( ( l2_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> ! [X2] :
( l3_conlat_1(X2,X1)
=> ! [X3] :
( ( l3_conlat_1(X3,k7_conlat_2(X1))
& v6_conlat_1(X3,k7_conlat_2(X1)) )
=> ( X3 = k8_conlat_2(X1,X2)
<=> ( u5_conlat_1(k7_conlat_2(X1),X3) = u4_conlat_1(X1,X2)
& u4_conlat_1(k7_conlat_2(X1),X3) = u5_conlat_1(X1,X2) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[d8_conlat_2]) ).
fof(c_0_43,plain,
! [X1,X2] :
( ( l3_conlat_1(X2,X1)
& l2_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> ( l3_conlat_1(k8_conlat_2(X1,X2),k7_conlat_2(X1))
& v6_conlat_1(k8_conlat_2(X1,X2),k7_conlat_2(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k8_conlat_2]) ).
cnf(c_0_44,plain,
( ~ m1_relset_1(X4,X3,X1)
| g2_conlat_1(X3,X1,X4) != g2_conlat_1(X5,X2,X6)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_45,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_34,c_0_35]),c_0_31])]),c_0_36]) ).
cnf(c_0_46,plain,
( ~ v4_conlat_1(X1)
| ~ l2_conlat_1(X1)
| X1 = g2_conlat_1(u1_conlat_1(X1),u2_conlat_1(X1),u3_conlat_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_47,negated_conjecture,
v4_conlat_1(k7_conlat_2(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_38]),c_0_31])]) ).
cnf(c_0_48,negated_conjecture,
l2_conlat_1(k7_conlat_2(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_39]),c_0_31])]) ).
fof(c_0_49,plain,
! [X105,X106] :
( k9_conlat_2(X105,X106) = k8_conlat_2(X105,X106)
| ~ l3_conlat_1(X106,X105)
| ~ v9_conlat_1(X106,X105)
| v7_conlat_1(X106,X105)
| ~ l2_conlat_1(X105)
| v3_conlat_1(X105) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])]) ).
fof(c_0_50,plain,
! [X36,X37] :
( ( ~ l3_conlat_1(X37,X36)
| ~ v9_conlat_1(X37,X36)
| v7_conlat_1(X37,X36)
| ~ l2_conlat_1(X36)
| v3_conlat_1(X36)
| l3_conlat_1(k9_conlat_2(X36,X37),k7_conlat_2(X36)) )
& ( ~ l3_conlat_1(X37,X36)
| ~ v9_conlat_1(X37,X36)
| v7_conlat_1(X37,X36)
| ~ l2_conlat_1(X36)
| v3_conlat_1(X36)
| v9_conlat_1(k9_conlat_2(X36,X37),k7_conlat_2(X36)) )
& ( ~ l3_conlat_1(X37,X36)
| ~ v9_conlat_1(X37,X36)
| v7_conlat_1(X37,X36)
| ~ l2_conlat_1(X36)
| v3_conlat_1(X36)
| ~ v7_conlat_1(k9_conlat_2(X36,X37),k7_conlat_2(X36)) )
& ( ~ l3_conlat_1(X37,X36)
| ~ v9_conlat_1(X37,X36)
| v7_conlat_1(X37,X36)
| ~ l2_conlat_1(X36)
| v3_conlat_1(X36)
| v6_conlat_1(k9_conlat_2(X36,X37),k7_conlat_2(X36)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])])])]) ).
fof(c_0_51,plain,
! [X20,X21,X22] :
( ( ~ l2_conlat_1(X20)
| v3_conlat_1(X20)
| ~ l3_conlat_1(X21,X20)
| ~ l3_conlat_1(X22,k7_conlat_2(X20))
| ~ v6_conlat_1(X22,k7_conlat_2(X20))
| X22 = k8_conlat_2(X20,X21)
| u5_conlat_1(k7_conlat_2(X20),X22) != u4_conlat_1(X20,X21)
| u4_conlat_1(k7_conlat_2(X20),X22) != u5_conlat_1(X20,X21) )
& ( ~ l2_conlat_1(X20)
| v3_conlat_1(X20)
| ~ l3_conlat_1(X21,X20)
| ~ l3_conlat_1(X22,k7_conlat_2(X20))
| ~ v6_conlat_1(X22,k7_conlat_2(X20))
| X22 != k8_conlat_2(X20,X21)
| u5_conlat_1(k7_conlat_2(X20),X22) = u4_conlat_1(X20,X21) )
& ( ~ l2_conlat_1(X20)
| v3_conlat_1(X20)
| ~ l3_conlat_1(X21,X20)
| ~ l3_conlat_1(X22,k7_conlat_2(X20))
| ~ v6_conlat_1(X22,k7_conlat_2(X20))
| X22 != k8_conlat_2(X20,X21)
| u4_conlat_1(k7_conlat_2(X20),X22) = u5_conlat_1(X20,X21) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_42])])])])]) ).
fof(c_0_52,plain,
! [X34,X35] :
( ( ~ l3_conlat_1(X35,X34)
| ~ l2_conlat_1(X34)
| v3_conlat_1(X34)
| l3_conlat_1(k8_conlat_2(X34,X35),k7_conlat_2(X34)) )
& ( ~ l3_conlat_1(X35,X34)
| ~ l2_conlat_1(X34)
| v3_conlat_1(X34)
| v6_conlat_1(k8_conlat_2(X34,X35),k7_conlat_2(X34)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_43])])])]) ).
cnf(c_0_53,negated_conjecture,
( ~ m1_relset_1(X3,X2,X1)
| g2_conlat_1(X2,X1,X3) != k7_conlat_2(esk1_0)
| X1 = u1_conlat_1(esk1_0) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_54,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_46,c_0_47]),c_0_48])]) ).
cnf(c_0_55,plain,
( ~ l2_conlat_1(X1)
| ~ v3_conlat_1(k7_conlat_2(X1))
| v3_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_56,plain,
( ~ l3_conlat_1(X2,X1)
| ~ v9_conlat_1(X2,X1)
| ~ l2_conlat_1(X1)
| k9_conlat_2(X1,X2) = k8_conlat_2(X1,X2)
| v7_conlat_1(X2,X1)
| v3_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_57,plain,
( ~ l3_conlat_1(X2,X1)
| ~ v9_conlat_1(X2,X1)
| ~ l2_conlat_1(X1)
| v7_conlat_1(X2,X1)
| v3_conlat_1(X1)
| l3_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_58,plain,
( ~ l3_conlat_1(X2,X1)
| ~ v9_conlat_1(X2,X1)
| ~ l2_conlat_1(X1)
| ~ v7_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1))
| v7_conlat_1(X2,X1)
| v3_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_59,plain,
( ~ l2_conlat_1(X1)
| ~ l3_conlat_1(X3,X1)
| ~ l3_conlat_1(X2,k7_conlat_2(X1))
| ~ v6_conlat_1(X2,k7_conlat_2(X1))
| X2 != k8_conlat_2(X1,X3)
| v3_conlat_1(X1)
| u5_conlat_1(k7_conlat_2(X1),X2) = u4_conlat_1(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_60,plain,
( ~ l3_conlat_1(X2,X1)
| ~ l2_conlat_1(X1)
| v3_conlat_1(X1)
| v6_conlat_1(k8_conlat_2(X1,X2),k7_conlat_2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_61,plain,
( ~ l3_conlat_1(X2,X1)
| ~ l2_conlat_1(X1)
| v3_conlat_1(X1)
| l3_conlat_1(k8_conlat_2(X1,X2),k7_conlat_2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_62,plain,
( ~ l2_conlat_1(X1)
| ~ l3_conlat_1(X3,X1)
| ~ l3_conlat_1(X2,k7_conlat_2(X1))
| ~ v6_conlat_1(X2,k7_conlat_2(X1))
| X2 != k8_conlat_2(X1,X3)
| v3_conlat_1(X1)
| u4_conlat_1(k7_conlat_2(X1),X2) = u5_conlat_1(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_63,negated_conjecture,
( ~ 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)))
| u2_conlat_1(k7_conlat_2(esk1_0)) = u1_conlat_1(esk1_0) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_64,plain,
( ~ l2_conlat_1(X1)
| ~ v9_conlat_1(X2,k7_conlat_2(X1))
| ~ l3_conlat_1(X2,k7_conlat_2(X1))
| v3_conlat_1(X1)
| v7_conlat_1(X2,k7_conlat_2(X1))
| k8_conlat_2(k7_conlat_2(X1),X2) = k9_conlat_2(k7_conlat_2(X1),X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_39]) ).
cnf(c_0_65,negated_conjecture,
( ~ v9_conlat_1(X1,esk1_0)
| ~ l3_conlat_1(X1,esk1_0)
| v7_conlat_1(X1,esk1_0)
| l3_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_34,c_0_57]),c_0_31])]) ).
cnf(c_0_66,negated_conjecture,
v9_conlat_1(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_67,negated_conjecture,
l3_conlat_1(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_68,negated_conjecture,
~ v7_conlat_1(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_69,negated_conjecture,
( ~ v7_conlat_1(k9_conlat_2(esk1_0,X1),k7_conlat_2(esk1_0))
| ~ v9_conlat_1(X1,esk1_0)
| ~ l3_conlat_1(X1,esk1_0)
| v7_conlat_1(X1,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_58]),c_0_31])]) ).
cnf(c_0_70,plain,
( ~ l3_conlat_1(X2,X1)
| ~ v9_conlat_1(X2,X1)
| ~ l2_conlat_1(X1)
| v7_conlat_1(X2,X1)
| v3_conlat_1(X1)
| v6_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_71,plain,
( ~ l2_conlat_1(X1)
| ~ l3_conlat_1(X2,X1)
| v3_conlat_1(X1)
| u5_conlat_1(k7_conlat_2(X1),k8_conlat_2(X1,X2)) = u4_conlat_1(X1,X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_59]),c_0_60]),c_0_61]) ).
cnf(c_0_72,plain,
( ~ l2_conlat_1(X1)
| ~ l3_conlat_1(X2,X1)
| v3_conlat_1(X1)
| u4_conlat_1(k7_conlat_2(X1),k8_conlat_2(X1,X2)) = u5_conlat_1(X1,X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_62]),c_0_60]),c_0_61]) ).
cnf(c_0_73,plain,
( ~ m1_relset_1(X4,X1,X3)
| g2_conlat_1(X1,X3,X4) != g2_conlat_1(X2,X5,X6)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_74,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_63,c_0_26]),c_0_48])]) ).
cnf(c_0_75,negated_conjecture,
( ~ v9_conlat_1(X1,k7_conlat_2(esk1_0))
| ~ l3_conlat_1(X1,k7_conlat_2(esk1_0))
| v7_conlat_1(X1,k7_conlat_2(esk1_0))
| k8_conlat_2(k7_conlat_2(esk1_0),X1) = k9_conlat_2(k7_conlat_2(esk1_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_64]),c_0_31])]) ).
cnf(c_0_76,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_65,c_0_66]),c_0_67])]),c_0_68]) ).
cnf(c_0_77,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_69,c_0_67]),c_0_66])]),c_0_68]) ).
cnf(c_0_78,plain,
( ~ l3_conlat_1(X2,X1)
| ~ v9_conlat_1(X2,X1)
| ~ l2_conlat_1(X1)
| v7_conlat_1(X2,X1)
| v3_conlat_1(X1)
| v9_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_79,plain,
( ~ l2_conlat_1(X2)
| ~ v9_conlat_1(X1,k7_conlat_2(X2))
| ~ l3_conlat_1(X1,k7_conlat_2(X2))
| v3_conlat_1(X2)
| v6_conlat_1(k9_conlat_2(k7_conlat_2(X2),X1),k7_conlat_2(k7_conlat_2(X2)))
| v7_conlat_1(X1,k7_conlat_2(X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_70]),c_0_39]) ).
cnf(c_0_80,negated_conjecture,
( ~ l3_conlat_1(X1,esk1_0)
| u5_conlat_1(k7_conlat_2(esk1_0),k8_conlat_2(esk1_0,X1)) = u4_conlat_1(esk1_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_71]),c_0_31])]) ).
cnf(c_0_81,negated_conjecture,
( ~ v9_conlat_1(X1,esk1_0)
| ~ l3_conlat_1(X1,esk1_0)
| v7_conlat_1(X1,esk1_0)
| k8_conlat_2(esk1_0,X1) = k9_conlat_2(esk1_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_56]),c_0_31])]) ).
cnf(c_0_82,negated_conjecture,
( ~ l3_conlat_1(X1,esk1_0)
| u4_conlat_1(k7_conlat_2(esk1_0),k8_conlat_2(esk1_0,X1)) = u5_conlat_1(esk1_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_72]),c_0_31])]) ).
cnf(c_0_83,negated_conjecture,
( ~ m1_relset_1(X3,X1,X2)
| g2_conlat_1(X1,X2,X3) != k7_conlat_2(esk1_0)
| X1 = u2_conlat_1(esk1_0) ),
inference(spm,[status(thm)],[c_0_73,c_0_45]) ).
cnf(c_0_84,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_54,c_0_74]) ).
cnf(c_0_85,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_26,c_0_74]),c_0_48])]) ).
fof(c_0_86,plain,
! [X76] :
( k4_relat_1(k4_relat_1(X76)) = X76
| ~ v1_relat_1(X76) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[involutiveness_k4_relat_1])])]) ).
fof(c_0_87,plain,
! [X14,X15,X16] :
( v1_relat_1(X16)
| ~ m1_subset_1(X16,k1_zfmisc_1(k2_zfmisc_1(X14,X15))) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relset_1])])]) ).
fof(c_0_88,plain,
! [X39,X40,X41] :
( m1_subset_1(X41,k1_zfmisc_1(k2_zfmisc_1(X39,X40)))
| ~ m2_relset_1(X41,X39,X40) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_relset_1])])]) ).
cnf(c_0_89,plain,
( ~ l2_conlat_1(X1)
| ~ l3_conlat_1(X2,k7_conlat_2(X1))
| v3_conlat_1(X1)
| l3_conlat_1(k8_conlat_2(k7_conlat_2(X1),X2),k7_conlat_2(k7_conlat_2(X1))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_61]),c_0_39]) ).
cnf(c_0_90,negated_conjecture,
( ~ v9_conlat_1(k9_conlat_2(esk1_0,esk2_0),k7_conlat_2(esk1_0))
| 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(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77]) ).
cnf(c_0_91,negated_conjecture,
( ~ v9_conlat_1(X1,esk1_0)
| ~ l3_conlat_1(X1,esk1_0)
| v7_conlat_1(X1,esk1_0)
| v9_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_34,c_0_78]),c_0_31])]) ).
cnf(c_0_92,negated_conjecture,
( ~ v9_conlat_1(X1,k7_conlat_2(esk1_0))
| ~ l3_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)))
| v7_conlat_1(X1,k7_conlat_2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_79]),c_0_31])]) ).
cnf(c_0_93,plain,
( ~ l2_conlat_1(X1)
| ~ l3_conlat_1(X2,k7_conlat_2(X1))
| v3_conlat_1(X1)
| 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) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_72]),c_0_39]) ).
cnf(c_0_94,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_80,c_0_67]) ).
cnf(c_0_95,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_81,c_0_67]),c_0_66])]),c_0_68]) ).
cnf(c_0_96,plain,
( ~ l2_conlat_1(X1)
| ~ l3_conlat_1(X2,k7_conlat_2(X1))
| v3_conlat_1(X1)
| 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) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_71]),c_0_39]) ).
cnf(c_0_97,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_82,c_0_67]) ).
cnf(c_0_98,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_83,c_0_84]),c_0_85])]) ).
cnf(c_0_99,plain,
( ~ v1_relat_1(X1)
| k4_relat_1(k4_relat_1(X1)) = X1 ),
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)))
| v1_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_101,plain,
( ~ m2_relset_1(X1,X2,X3)
| m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
fof(c_0_102,plain,
! [X10,X11] :
( X11 = g3_conlat_1(X10,u4_conlat_1(X10,X11),u5_conlat_1(X10,X11))
| ~ v6_conlat_1(X11,X10)
| ~ l3_conlat_1(X11,X10)
| ~ l1_conlat_1(X10) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[abstractness_v6_conlat_1])])]) ).
cnf(c_0_103,negated_conjecture,
( ~ l3_conlat_1(X1,k7_conlat_2(esk1_0))
| l3_conlat_1(k8_conlat_2(k7_conlat_2(esk1_0),X1),k7_conlat_2(k7_conlat_2(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_89]),c_0_31])]) ).
cnf(c_0_104,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_90,c_0_91]),c_0_67]),c_0_66])]),c_0_68]) ).
cnf(c_0_105,negated_conjecture,
( ~ v9_conlat_1(k9_conlat_2(esk1_0,esk2_0),k7_conlat_2(esk1_0))
| 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(spm,[status(thm)],[c_0_92,c_0_76]),c_0_77]) ).
cnf(c_0_106,negated_conjecture,
( ~ l3_conlat_1(X1,k7_conlat_2(esk1_0))
| 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) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_93]),c_0_31])]) ).
cnf(c_0_107,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_94,c_0_95]) ).
cnf(c_0_108,negated_conjecture,
( ~ l3_conlat_1(X1,k7_conlat_2(esk1_0))
| 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) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_96]),c_0_31])]) ).
cnf(c_0_109,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_97,c_0_95]) ).
cnf(c_0_110,plain,
( ~ m1_relset_1(X1,X3,X4)
| g2_conlat_1(X3,X4,X1) != g2_conlat_1(X5,X6,X2)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_111,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_84,c_0_98]) ).
cnf(c_0_112,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_85,c_0_98]) ).
cnf(c_0_113,plain,
( ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| k4_relat_1(k4_relat_1(X1)) = X1 ),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_114,plain,
( ~ l2_conlat_1(X1)
| m1_subset_1(u3_conlat_1(X1),k1_zfmisc_1(k2_zfmisc_1(u1_conlat_1(X1),u2_conlat_1(X1)))) ),
inference(spm,[status(thm)],[c_0_101,c_0_22]) ).
cnf(c_0_115,plain,
( ~ v6_conlat_1(X2,X1)
| ~ l3_conlat_1(X2,X1)
| ~ l1_conlat_1(X1)
| X2 = g3_conlat_1(X1,u4_conlat_1(X1,X2),u5_conlat_1(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_116,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_103,c_0_104]),c_0_76])]) ).
cnf(c_0_117,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_105,c_0_91]),c_0_67]),c_0_66])]),c_0_68]) ).
cnf(c_0_118,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_106,c_0_76]),c_0_104]),c_0_107]) ).
cnf(c_0_119,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_108,c_0_76]),c_0_104]),c_0_109]) ).
fof(c_0_120,plain,
! [X38] :
( l1_conlat_1(X38)
| ~ l2_conlat_1(X38) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l2_conlat_1])])]) ).
cnf(c_0_121,plain,
( ~ l2_conlat_1(X1)
| v3_conlat_1(X1)
| l2_conlat_1(k7_conlat_2(k7_conlat_2(X1))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_39]),c_0_39]) ).
cnf(c_0_122,negated_conjecture,
( g2_conlat_1(X2,X3,X1) != k7_conlat_2(esk1_0)
| u3_conlat_1(k7_conlat_2(esk1_0)) = X1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_112])]) ).
cnf(c_0_123,plain,
( ~ l2_conlat_1(X1)
| k4_relat_1(k4_relat_1(u3_conlat_1(X1))) = u3_conlat_1(X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_124,negated_conjecture,
v4_conlat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_125,negated_conjecture,
v6_conlat_1(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_126,negated_conjecture,
( ~ l1_conlat_1(k7_conlat_2(k7_conlat_2(esk1_0)))
| 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_117])]),c_0_118]),c_0_119]) ).
cnf(c_0_127,plain,
( ~ l2_conlat_1(X1)
| l1_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_120]) ).
cnf(c_0_128,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_34,c_0_121]),c_0_31])]) ).
cnf(c_0_129,plain,
( ~ l2_conlat_1(X1)
| v3_conlat_1(X1)
| 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)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_35]),c_0_39]) ).
cnf(c_0_130,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_30,c_0_48]) ).
cnf(c_0_131,negated_conjecture,
u3_conlat_1(k7_conlat_2(esk1_0)) = k4_relat_1(u3_conlat_1(esk1_0)),
inference(spm,[status(thm)],[c_0_122,c_0_45]) ).
cnf(c_0_132,negated_conjecture,
k4_relat_1(k4_relat_1(u3_conlat_1(esk1_0))) = u3_conlat_1(esk1_0),
inference(spm,[status(thm)],[c_0_123,c_0_31]) ).
cnf(c_0_133,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_46,c_0_124]),c_0_31])]) ).
cnf(c_0_134,negated_conjecture,
( ~ l1_conlat_1(esk1_0)
| 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_115,c_0_67]),c_0_125])]) ).
cnf(c_0_135,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_126,c_0_127]),c_0_128])]) ).
cnf(c_0_136,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_34,c_0_129]),c_0_130]),c_0_31])]),c_0_74]),c_0_98]),c_0_131]),c_0_132]),c_0_133]) ).
cnf(c_0_137,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_134,c_0_127]),c_0_31])]) ).
cnf(c_0_138,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_27]) ).
cnf(c_0_139,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_135,c_0_136]),c_0_137]),c_0_138]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT345+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.37 % Computer : n004.cluster.edu
% 0.13/0.37 % Model : x86_64 x86_64
% 0.13/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37 % Memory : 8046.5625MB
% 0.13/0.37 % OS : Linux 6.8.0-71-generic
% 0.13/0.37 % CPULimit : 300
% 0.13/0.37 % WCLimit : 300
% 0.13/0.37 % DateTime : Sun Sep 20 23:43:49 UTC 2026
% 0.13/0.37 % CPUTime :
% 0.13/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.41 Running first-order theorem proving
% 0.15/0.42 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 4.73/2.94 % Version: 3.5.1
% 4.73/2.94 % Preprocessing class: FSLSSMSSSSSNFFN.
% 4.73/2.94 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.73/2.94 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 4.73/2.94 % Starting new_bool_3 with 300s (1) cores
% 4.73/2.94 % Starting new_bool_1 with 300s (1) cores
% 4.73/2.94 % Starting sh5l with 300s (1) cores
% 4.73/2.94 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1770149 completed with status 0
% 4.73/2.94 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 4.73/2.94 % Preprocessing class: FSLSSMSSSSSNFFN.
% 4.73/2.94 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.73/2.94 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 4.73/2.94 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 4.73/2.94 % No SInE strategy applied
% 4.73/2.94 % Search class: FGHSM-FFMM31-MFFFFFNN
% 4.73/2.94 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 4.73/2.94 % Starting SubtermCWHack with 136s (1) cores
% 4.73/2.94 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 4.73/2.94 % Starting G-E--_208_C12_02_nc_F1_SE_CS_SP_PS_S5PRR_RG_S070I with 113s (1) cores
% 4.73/2.94 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SE_S0Y with 113s (1) cores
% 4.73/2.94 % Starting G-E--_103_C18_F1_PI_AE_Q4_CS_SP_S0Y with 113s (1) cores
% 4.73/2.94 % G-E--_208_C12_02_nc_F1_SE_CS_SP_PS_S5PRR_RG_S070I with pid 1770157 completed with status 0
% 4.73/2.94 % Result found by G-E--_208_C12_02_nc_F1_SE_CS_SP_PS_S5PRR_RG_S070I
% 4.73/2.94 % Preprocessing class: FSLSSMSSSSSNFFN.
% 4.73/2.94 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.73/2.94 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 4.73/2.94 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 4.73/2.94 % No SInE strategy applied
% 4.73/2.94 % Search class: FGHSM-FFMM31-MFFFFFNN
% 4.73/2.94 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 4.73/2.94 % Starting SubtermCWHack with 136s (1) cores
% 4.73/2.94 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 4.73/2.94 % Starting G-E--_208_C12_02_nc_F1_SE_CS_SP_PS_S5PRR_RG_S070I with 113s (1) cores
% 4.73/2.94 % Preprocessing time : 0.001 s
% 4.73/2.94 % Presaturation interreduction done
% 4.73/2.94
% 4.73/2.94 % Proof found!
% 4.73/2.94 % SZS status Theorem
% 4.73/2.94 % SZS output start CNFRefutation
% See solution above
% 4.73/2.95 % Parsed axioms : 69
% 4.73/2.95 % Removed by relevancy pruning/SinE : 0
% 4.73/2.95 % Initial clauses : 109
% 4.73/2.95 % Removed in clause preprocessing : 9
% 4.73/2.95 % Initial clauses in saturation : 100
% 4.73/2.95 % Processed clauses : 11441
% 4.73/2.95 % ...of these trivial : 865
% 4.73/2.95 % ...subsumed : 3967
% 4.73/2.95 % ...remaining for further processing : 6609
% 4.73/2.95 % Other redundant clauses eliminated : 2
% 4.73/2.95 % Clauses deleted for lack of memory : 0
% 4.73/2.95 % Backward-subsumed : 752
% 4.73/2.95 % Backward-rewritten : 718
% 4.73/2.95 % Generated clauses : 102643
% 4.73/2.95 % ...of the previous two non-redundant : 95963
% 4.73/2.95 % ...aggressively subsumed : 0
% 4.73/2.95 % Contextual simplify-reflections : 209
% 4.73/2.95 % Paramodulations : 102511
% 4.73/2.95 % Factorizations : 46
% 4.73/2.95 % NegExts : 0
% 4.73/2.95 % Equation resolutions : 86
% 4.73/2.95 % Disequality decompositions : 0
% 4.73/2.95 % Total rewrite steps : 25221
% 4.73/2.95 % ...of those cached : 24856
% 4.73/2.95 % Propositional unsat checks : 1
% 4.73/2.95 % Propositional check models : 0
% 4.73/2.95 % Propositional check unsatisfiable : 0
% 4.73/2.95 % Propositional clauses : 0
% 4.73/2.95 % Propositional clauses after purity: 0
% 4.73/2.95 % Propositional unsat core size : 0
% 4.73/2.95 % Propositional preprocessing time : 0.000
% 4.73/2.95 % Propositional encoding time : 0.033
% 4.73/2.95 % Propositional solver time : 0.022
% 4.73/2.95 % Success case prop preproc time : 0.000
% 4.73/2.95 % Success case prop encoding time : 0.000
% 4.73/2.95 % Success case prop solver time : 0.000
% 4.73/2.95 % Current number of processed clauses : 5037
% 4.73/2.95 % Positive orientable unit clauses : 394
% 4.73/2.95 % Positive unorientable unit clauses: 0
% 4.73/2.95 % Negative unit clauses : 99
% 4.73/2.95 % Non-unit-clauses : 4544
% 4.73/2.95 % Current number of unprocessed clauses: 84246
% 4.73/2.95 % ...number of literals in the above : 390137
% 4.73/2.95 % Current number of archived formulas : 0
% 4.73/2.95 % Current number of archived clauses : 1570
% 4.73/2.95 % Clause-clause subsumption calls (NU) : 4003533
% 4.73/2.95 % Rec. Clause-clause subsumption calls : 1883276
% 4.73/2.95 % Non-unit clause-clause subsumptions : 4343
% 4.73/2.95 % Unit Clause-clause subsumption calls : 17051
% 4.73/2.95 % Rewrite failures with RHS unbound : 0
% 4.73/2.95 % BW rewrite match attempts : 5644
% 4.73/2.95 % BW rewrite match successes : 141
% 4.73/2.95 % Condensation attempts : 0
% 4.73/2.95 % Condensation successes : 0
% 4.73/2.95 % Termbank termtop insertions : 2663120
% 4.73/2.95 % Search garbage collected termcells : 1158
% 4.73/2.95
% 4.73/2.95 % -------------------------------------------------
% 4.73/2.95 % User time : 2.394 s
% 4.73/2.95 % System time : 0.051 s
% 4.73/2.95 % Total time : 2.445 s
% 4.73/2.95 % Maximum resident set size: 3896 pages
% 4.73/2.95
% 4.73/2.95 % -------------------------------------------------
% 4.73/2.95 % User time : 11.780 s
% 4.73/2.95 % System time : 0.304 s
% 4.73/2.95 % Total time : 12.084 s
% 4.73/2.95 % Maximum resident set size: 4864 pages
% 4.73/2.95 % E exiting
%------------------------------------------------------------------------------