TSTP Solution File: LAT345+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LAT345+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 06:01:43 EDT 2023
% Result : Theorem 262.74s 262.77s
% Output : CNFRefutation 262.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 69
% Syntax : Number of formulae : 191 ( 40 unt; 52 typ; 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 types : 2 ( 0 usr)
% Number of type conns : 68 ( 43 >; 25 *; 0 +; 0 <<)
% Number of predicates : 18 ( 16 usr; 1 prp; 0-3 aty)
% Number of functors : 36 ( 36 usr; 9 con; 0-3 aty)
% Number of variables : 188 ( 12 sgn; 85 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
v3_conlat_1: $i > $o ).
tff(decl_23,type,
v4_conlat_1: $i > $o ).
tff(decl_24,type,
l2_conlat_1: $i > $o ).
tff(decl_25,type,
v6_conlat_1: ( $i * $i ) > $o ).
tff(decl_26,type,
v7_conlat_1: ( $i * $i ) > $o ).
tff(decl_27,type,
v9_conlat_1: ( $i * $i ) > $o ).
tff(decl_28,type,
l3_conlat_1: ( $i * $i ) > $o ).
tff(decl_29,type,
k7_conlat_2: $i > $i ).
tff(decl_30,type,
k9_conlat_2: ( $i * $i ) > $i ).
tff(decl_31,type,
u1_conlat_1: $i > $i ).
tff(decl_32,type,
u2_conlat_1: $i > $i ).
tff(decl_33,type,
u3_conlat_1: $i > $i ).
tff(decl_34,type,
g2_conlat_1: ( $i * $i * $i ) > $i ).
tff(decl_35,type,
l1_conlat_1: $i > $o ).
tff(decl_36,type,
u4_conlat_1: ( $i * $i ) > $i ).
tff(decl_37,type,
u5_conlat_1: ( $i * $i ) > $i ).
tff(decl_38,type,
g3_conlat_1: ( $i * $i * $i ) > $i ).
tff(decl_39,type,
r2_hidden: ( $i * $i ) > $o ).
tff(decl_40,type,
k2_zfmisc_1: ( $i * $i ) > $i ).
tff(decl_41,type,
k1_zfmisc_1: $i > $i ).
tff(decl_42,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(decl_43,type,
v1_relat_1: $i > $o ).
tff(decl_44,type,
v8_conlat_1: ( $i * $i ) > $o ).
tff(decl_45,type,
k6_relset_1: ( $i * $i * $i ) > $i ).
tff(decl_46,type,
k8_conlat_2: ( $i * $i ) > $i ).
tff(decl_47,type,
m1_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_48,type,
k4_relat_1: $i > $i ).
tff(decl_49,type,
m2_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_50,type,
v1_xboole_0: $i > $o ).
tff(decl_51,type,
k1_xboole_0: $i ).
tff(decl_52,type,
r1_tarski: ( $i * $i ) > $o ).
tff(decl_53,type,
esk1_0: $i ).
tff(decl_54,type,
esk2_0: $i ).
tff(decl_55,type,
esk3_0: $i ).
tff(decl_56,type,
esk4_0: $i ).
tff(decl_57,type,
esk5_1: $i > $i ).
tff(decl_58,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_59,type,
esk7_1: $i > $i ).
tff(decl_60,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_61,type,
esk9_1: $i > $i ).
tff(decl_62,type,
esk10_1: $i > $i ).
tff(decl_63,type,
esk11_1: $i > $i ).
tff(decl_64,type,
esk12_1: $i > $i ).
tff(decl_65,type,
esk13_1: $i > $i ).
tff(decl_66,type,
esk14_1: $i > $i ).
tff(decl_67,type,
esk15_0: $i ).
tff(decl_68,type,
esk16_1: $i > $i ).
tff(decl_69,type,
esk17_0: $i ).
tff(decl_70,type,
esk18_0: $i ).
tff(decl_71,type,
esk19_0: $i ).
tff(decl_72,type,
esk20_1: $i > $i ).
tff(decl_73,type,
esk21_1: $i > $i ).
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(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(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/benchmark/theBenchmark.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/benchmark/theBenchmark.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/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)
=> ( X1 = X4
& X2 = X5
& X3 = X6 ) ) ),
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] :
( ( ~ 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/benchmark/theBenchmark.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/benchmark/theBenchmark.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/benchmark/theBenchmark.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/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] :
( ( 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/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(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
% 0.08/0.12 % Problem : LAT345+1 : TPTP v8.1.2. Released v3.4.0.
% 0.08/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Aug 24 05:57:54 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.57 start to proof: theBenchmark
% 262.74/262.77 % Version : CSE_E---1.5
% 262.74/262.77 % Problem : theBenchmark.p
% 262.74/262.77 % Proof found
% 262.74/262.77 % SZS status Theorem for theBenchmark.p
% 262.74/262.77 % SZS output start Proof
% See solution above
% 262.74/262.78 % Total time : 262.176000 s
% 262.74/262.78 % SZS output end Proof
% 262.74/262.78 % Total time : 262.191000 s
%------------------------------------------------------------------------------