TSTP Solution File: CAT031+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : CAT031+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 : n003.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 : Wed Aug 30 18:14:21 EDT 2023
% Result : Theorem 7.64s 7.74s
% Output : CNFRefutation 7.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 68
% Syntax : Number of formulae : 148 ( 23 unt; 54 typ; 0 def)
% Number of atoms : 705 ( 26 equ)
% Maximal formula atoms : 27 ( 7 avg)
% Number of connectives : 1057 ( 446 ~; 441 |; 98 &)
% ( 1 <=>; 71 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 9 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 105 ( 40 >; 65 *; 0 +; 0 <<)
% Number of predicates : 17 ( 15 usr; 1 prp; 0-5 aty)
% Number of functors : 39 ( 39 usr; 14 con; 0-9 aty)
% Number of variables : 333 ( 0 sgn; 165 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
v2_cat_1: $i > $o ).
tff(decl_23,type,
l1_cat_1: $i > $o ).
tff(decl_24,type,
m2_cat_1: ( $i * $i * $i ) > $o ).
tff(decl_25,type,
r1_nattra_1: ( $i * $i * $i * $i ) > $o ).
tff(decl_26,type,
m1_nattra_1: ( $i * $i * $i * $i * $i ) > $o ).
tff(decl_27,type,
u1_cat_1: $i > $i ).
tff(decl_28,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(decl_29,type,
k11_cat_2: ( $i * $i ) > $i ).
tff(decl_30,type,
k10_isocat_2: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_31,type,
k15_isocat_2: ( $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_32,type,
k5_nattra_1: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_33,type,
k13_cat_2: ( $i * $i * $i * $i ) > $i ).
tff(decl_34,type,
r2_hidden: ( $i * $i ) > $o ).
tff(decl_35,type,
k2_zfmisc_1: ( $i * $i ) > $i ).
tff(decl_36,type,
k1_zfmisc_1: $i > $i ).
tff(decl_37,type,
v1_relat_1: $i > $o ).
tff(decl_38,type,
k2_tarski: ( $i * $i ) > $i ).
tff(decl_39,type,
u2_cat_1: $i > $i ).
tff(decl_40,type,
k14_funct_3: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_41,type,
k8_funct_2: ( $i * $i * $i * $i ) > $i ).
tff(decl_42,type,
k4_tarski: ( $i * $i ) > $i ).
tff(decl_43,type,
k1_tarski: $i > $i ).
tff(decl_44,type,
k13_cat_1: ( $i * $i * $i * $i ) > $i ).
tff(decl_45,type,
v1_funct_1: $i > $o ).
tff(decl_46,type,
k13_funct_3: ( $i * $i ) > $i ).
tff(decl_47,type,
v1_xboole_0: $i > $o ).
tff(decl_48,type,
v1_funct_2: ( $i * $i * $i ) > $o ).
tff(decl_49,type,
m1_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_50,type,
m2_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_51,type,
m1_cat_1: ( $i * $i * $i * $i ) > $o ).
tff(decl_52,type,
k1_xboole_0: $i ).
tff(decl_53,type,
k1_funct_1: ( $i * $i ) > $i ).
tff(decl_54,type,
r1_tarski: ( $i * $i ) > $o ).
tff(decl_55,type,
esk1_0: $i ).
tff(decl_56,type,
esk2_0: $i ).
tff(decl_57,type,
esk3_0: $i ).
tff(decl_58,type,
esk4_0: $i ).
tff(decl_59,type,
esk5_0: $i ).
tff(decl_60,type,
esk6_0: $i ).
tff(decl_61,type,
esk7_0: $i ).
tff(decl_62,type,
esk8_0: $i ).
tff(decl_63,type,
esk9_0: $i ).
tff(decl_64,type,
esk10_0: $i ).
tff(decl_65,type,
esk11_0: $i ).
tff(decl_66,type,
esk12_3: ( $i * $i * $i ) > $i ).
tff(decl_67,type,
esk13_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_68,type,
esk14_2: ( $i * $i ) > $i ).
tff(decl_69,type,
esk15_1: $i > $i ).
tff(decl_70,type,
esk16_2: ( $i * $i ) > $i ).
tff(decl_71,type,
esk17_2: ( $i * $i ) > $i ).
tff(decl_72,type,
esk18_1: $i > $i ).
tff(decl_73,type,
esk19_0: $i ).
tff(decl_74,type,
esk20_1: $i > $i ).
tff(decl_75,type,
esk21_0: $i ).
fof(t45_isocat_2,conjecture,
! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( ( v2_cat_1(X2)
& l1_cat_1(X2) )
=> ! [X3] :
( ( v2_cat_1(X3)
& l1_cat_1(X3) )
=> ! [X4] :
( m2_cat_1(X4,X1,X2)
=> ! [X5] :
( m2_cat_1(X5,X1,X2)
=> ! [X6] :
( m2_cat_1(X6,X1,X3)
=> ! [X7] :
( m2_cat_1(X7,X1,X3)
=> ( ( r1_nattra_1(X1,X2,X4,X5)
& r1_nattra_1(X1,X3,X6,X7) )
=> ! [X8] :
( m1_nattra_1(X8,X1,X2,X4,X5)
=> ! [X9] :
( m1_nattra_1(X9,X1,X3,X6,X7)
=> ! [X10] :
( m1_subset_1(X10,u1_cat_1(X1))
=> k5_nattra_1(X1,k11_cat_2(X2,X3),k10_isocat_2(X1,X2,X3,X4,X6),k10_isocat_2(X1,X2,X3,X5,X7),k15_isocat_2(X1,X2,X3,X4,X5,X6,X7,X8,X9),X10) = k13_cat_2(X2,X3,k5_nattra_1(X1,X2,X4,X5,X8,X10),k5_nattra_1(X1,X3,X6,X7,X9,X10)) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t45_isocat_2) ).
fof(d5_nattra_1,axiom,
! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( ( v2_cat_1(X2)
& l1_cat_1(X2) )
=> ! [X3] :
( m2_cat_1(X3,X1,X2)
=> ! [X4] :
( m2_cat_1(X4,X1,X2)
=> ( r1_nattra_1(X1,X2,X3,X4)
=> ! [X5] :
( m1_nattra_1(X5,X1,X2,X3,X4)
=> ! [X6] :
( m1_subset_1(X6,u1_cat_1(X1))
=> k5_nattra_1(X1,X2,X3,X4,X5,X6) = k8_funct_2(u1_cat_1(X1),u2_cat_1(X2),X5,X6) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_nattra_1) ).
fof(dt_k15_isocat_2,axiom,
! [X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ( v2_cat_1(X1)
& l1_cat_1(X1)
& v2_cat_1(X2)
& l1_cat_1(X2)
& v2_cat_1(X3)
& l1_cat_1(X3)
& m2_cat_1(X4,X1,X2)
& m2_cat_1(X5,X1,X2)
& m2_cat_1(X6,X1,X3)
& m2_cat_1(X7,X1,X3)
& m1_nattra_1(X8,X1,X2,X4,X5)
& m1_nattra_1(X9,X1,X3,X6,X7) )
=> m1_nattra_1(k15_isocat_2(X1,X2,X3,X4,X5,X6,X7,X8,X9),X1,k11_cat_2(X2,X3),k10_isocat_2(X1,X2,X3,X4,X6),k10_isocat_2(X1,X2,X3,X5,X7)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k15_isocat_2) ).
fof(redefinition_k8_funct_2,axiom,
! [X1,X2,X3,X4] :
( ( ~ v1_xboole_0(X1)
& v1_funct_1(X3)
& v1_funct_2(X3,X1,X2)
& m1_relset_1(X3,X1,X2)
& m1_subset_1(X4,X1) )
=> k8_funct_2(X1,X2,X3,X4) = k1_funct_1(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k8_funct_2) ).
fof(dt_m1_nattra_1,axiom,
! [X1,X2,X3,X4] :
( ( v2_cat_1(X1)
& l1_cat_1(X1)
& v2_cat_1(X2)
& l1_cat_1(X2)
& m2_cat_1(X3,X1,X2)
& m2_cat_1(X4,X1,X2) )
=> ! [X5] :
( m1_nattra_1(X5,X1,X2,X3,X4)
=> ( v1_funct_1(X5)
& v1_funct_2(X5,u1_cat_1(X1),u2_cat_1(X2))
& m2_relset_1(X5,u1_cat_1(X1),u2_cat_1(X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_nattra_1) ).
fof(dt_k11_cat_2,axiom,
! [X1,X2] :
( ( v2_cat_1(X1)
& l1_cat_1(X1)
& v2_cat_1(X2)
& l1_cat_1(X2) )
=> ( v2_cat_1(k11_cat_2(X1,X2))
& l1_cat_1(k11_cat_2(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k11_cat_2) ).
fof(dt_k10_isocat_2,axiom,
! [X1,X2,X3,X4,X5] :
( ( v2_cat_1(X1)
& l1_cat_1(X1)
& v2_cat_1(X2)
& l1_cat_1(X2)
& v2_cat_1(X3)
& l1_cat_1(X3)
& m2_cat_1(X4,X1,X2)
& m2_cat_1(X5,X1,X3) )
=> m2_cat_1(k10_isocat_2(X1,X2,X3,X4,X5),X1,k11_cat_2(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k10_isocat_2) ).
fof(d11_isocat_2,axiom,
! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( ( v2_cat_1(X2)
& l1_cat_1(X2) )
=> ! [X3] :
( ( v2_cat_1(X3)
& l1_cat_1(X3) )
=> ! [X4] :
( m2_cat_1(X4,X1,X2)
=> ! [X5] :
( m2_cat_1(X5,X1,X2)
=> ! [X6] :
( m2_cat_1(X6,X1,X3)
=> ! [X7] :
( m2_cat_1(X7,X1,X3)
=> ( ( r1_nattra_1(X1,X2,X4,X5)
& r1_nattra_1(X1,X3,X6,X7) )
=> ! [X8] :
( m1_nattra_1(X8,X1,X2,X4,X5)
=> ! [X9] :
( m1_nattra_1(X9,X1,X3,X6,X7)
=> k15_isocat_2(X1,X2,X3,X4,X5,X6,X7,X8,X9) = k14_funct_3(u1_cat_1(X1),u2_cat_1(X2),u2_cat_1(X3),X8,X9) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d11_isocat_2) ).
fof(dt_u1_cat_1,axiom,
! [X1] :
( l1_cat_1(X1)
=> ~ v1_xboole_0(u1_cat_1(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u1_cat_1) ).
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(l54_isocat_2,axiom,
! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( ( v2_cat_1(X2)
& l1_cat_1(X2) )
=> ! [X3] :
( ( v2_cat_1(X3)
& l1_cat_1(X3) )
=> ! [X4] :
( m2_cat_1(X4,X1,X2)
=> ! [X5] :
( m2_cat_1(X5,X1,X2)
=> ! [X6] :
( m2_cat_1(X6,X1,X3)
=> ! [X7] :
( m2_cat_1(X7,X1,X3)
=> ( ( r1_nattra_1(X1,X2,X4,X5)
& r1_nattra_1(X1,X3,X6,X7) )
=> ! [X8] :
( m1_nattra_1(X8,X1,X2,X4,X5)
=> ! [X9] :
( m1_nattra_1(X9,X1,X3,X6,X7)
=> ! [X10] :
( m1_subset_1(X10,u1_cat_1(X1))
=> k8_funct_2(u1_cat_1(X1),k2_zfmisc_1(u2_cat_1(X2),u2_cat_1(X3)),k14_funct_3(u1_cat_1(X1),u2_cat_1(X2),u2_cat_1(X3),X8,X9),X10) = k13_cat_2(X2,X3,k5_nattra_1(X1,X2,X4,X5,X8,X10),k5_nattra_1(X1,X3,X6,X7,X9,X10)) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l54_isocat_2) ).
fof(dt_k14_funct_3,axiom,
! [X1,X2,X3,X4,X5] :
( ( ~ v1_xboole_0(X2)
& ~ v1_xboole_0(X3)
& v1_funct_1(X4)
& v1_funct_2(X4,X1,X2)
& m1_relset_1(X4,X1,X2)
& v1_funct_1(X5)
& v1_funct_2(X5,X1,X3)
& m1_relset_1(X5,X1,X3) )
=> ( v1_funct_1(k14_funct_3(X1,X2,X3,X4,X5))
& v1_funct_2(k14_funct_3(X1,X2,X3,X4,X5),X1,k2_zfmisc_1(X2,X3))
& m2_relset_1(k14_funct_3(X1,X2,X3,X4,X5),X1,k2_zfmisc_1(X2,X3)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k14_funct_3) ).
fof(dt_u2_cat_1,axiom,
! [X1] :
( l1_cat_1(X1)
=> ~ v1_xboole_0(u2_cat_1(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u2_cat_1) ).
fof(t44_isocat_2,axiom,
! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( ( v2_cat_1(X2)
& l1_cat_1(X2) )
=> ! [X3] :
( ( v2_cat_1(X3)
& l1_cat_1(X3) )
=> ! [X4] :
( m2_cat_1(X4,X1,X2)
=> ! [X5] :
( m2_cat_1(X5,X1,X2)
=> ! [X6] :
( m2_cat_1(X6,X1,X3)
=> ! [X7] :
( m2_cat_1(X7,X1,X3)
=> ( ( r1_nattra_1(X1,X2,X4,X5)
& r1_nattra_1(X1,X3,X6,X7) )
=> r1_nattra_1(X1,k11_cat_2(X2,X3),k10_isocat_2(X1,X2,X3,X4,X6),k10_isocat_2(X1,X2,X3,X5,X7)) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t44_isocat_2) ).
fof(c_0_14,negated_conjecture,
~ ! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( ( v2_cat_1(X2)
& l1_cat_1(X2) )
=> ! [X3] :
( ( v2_cat_1(X3)
& l1_cat_1(X3) )
=> ! [X4] :
( m2_cat_1(X4,X1,X2)
=> ! [X5] :
( m2_cat_1(X5,X1,X2)
=> ! [X6] :
( m2_cat_1(X6,X1,X3)
=> ! [X7] :
( m2_cat_1(X7,X1,X3)
=> ( ( r1_nattra_1(X1,X2,X4,X5)
& r1_nattra_1(X1,X3,X6,X7) )
=> ! [X8] :
( m1_nattra_1(X8,X1,X2,X4,X5)
=> ! [X9] :
( m1_nattra_1(X9,X1,X3,X6,X7)
=> ! [X10] :
( m1_subset_1(X10,u1_cat_1(X1))
=> k5_nattra_1(X1,k11_cat_2(X2,X3),k10_isocat_2(X1,X2,X3,X4,X6),k10_isocat_2(X1,X2,X3,X5,X7),k15_isocat_2(X1,X2,X3,X4,X5,X6,X7,X8,X9),X10) = k13_cat_2(X2,X3,k5_nattra_1(X1,X2,X4,X5,X8,X10),k5_nattra_1(X1,X3,X6,X7,X9,X10)) ) ) ) ) ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[t45_isocat_2]) ).
fof(c_0_15,negated_conjecture,
( v2_cat_1(esk1_0)
& l1_cat_1(esk1_0)
& v2_cat_1(esk2_0)
& l1_cat_1(esk2_0)
& v2_cat_1(esk3_0)
& l1_cat_1(esk3_0)
& m2_cat_1(esk4_0,esk1_0,esk2_0)
& m2_cat_1(esk5_0,esk1_0,esk2_0)
& m2_cat_1(esk6_0,esk1_0,esk3_0)
& m2_cat_1(esk7_0,esk1_0,esk3_0)
& r1_nattra_1(esk1_0,esk2_0,esk4_0,esk5_0)
& r1_nattra_1(esk1_0,esk3_0,esk6_0,esk7_0)
& m1_nattra_1(esk8_0,esk1_0,esk2_0,esk4_0,esk5_0)
& m1_nattra_1(esk9_0,esk1_0,esk3_0,esk6_0,esk7_0)
& m1_subset_1(esk10_0,u1_cat_1(esk1_0))
& k5_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),k10_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk6_0),k10_isocat_2(esk1_0,esk2_0,esk3_0,esk5_0,esk7_0),k15_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0,esk6_0,esk7_0,esk8_0,esk9_0),esk10_0) != k13_cat_2(esk2_0,esk3_0,k5_nattra_1(esk1_0,esk2_0,esk4_0,esk5_0,esk8_0,esk10_0),k5_nattra_1(esk1_0,esk3_0,esk6_0,esk7_0,esk9_0,esk10_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])]) ).
fof(c_0_16,plain,
! [X37,X38,X39,X40,X41,X42] :
( ~ v2_cat_1(X37)
| ~ l1_cat_1(X37)
| ~ v2_cat_1(X38)
| ~ l1_cat_1(X38)
| ~ m2_cat_1(X39,X37,X38)
| ~ m2_cat_1(X40,X37,X38)
| ~ r1_nattra_1(X37,X38,X39,X40)
| ~ m1_nattra_1(X41,X37,X38,X39,X40)
| ~ m1_subset_1(X42,u1_cat_1(X37))
| k5_nattra_1(X37,X38,X39,X40,X41,X42) = k8_funct_2(u1_cat_1(X37),u2_cat_1(X38),X41,X42) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d5_nattra_1])])]) ).
cnf(c_0_17,negated_conjecture,
k5_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),k10_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk6_0),k10_isocat_2(esk1_0,esk2_0,esk3_0,esk5_0,esk7_0),k15_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0,esk6_0,esk7_0,esk8_0,esk9_0),esk10_0) != k13_cat_2(esk2_0,esk3_0,k5_nattra_1(esk1_0,esk2_0,esk4_0,esk5_0,esk8_0,esk10_0),k5_nattra_1(esk1_0,esk3_0,esk6_0,esk7_0,esk9_0,esk10_0)),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_18,plain,
( k5_nattra_1(X1,X2,X3,X4,X5,X6) = k8_funct_2(u1_cat_1(X1),u2_cat_1(X2),X5,X6)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X3,X1,X2)
| ~ m2_cat_1(X4,X1,X2)
| ~ r1_nattra_1(X1,X2,X3,X4)
| ~ m1_nattra_1(X5,X1,X2,X3,X4)
| ~ m1_subset_1(X6,u1_cat_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_19,negated_conjecture,
m1_subset_1(esk10_0,u1_cat_1(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_20,negated_conjecture,
l1_cat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_21,negated_conjecture,
v2_cat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_22,plain,
! [X67,X68,X69,X70,X71,X72,X73,X74,X75] :
( ~ v2_cat_1(X67)
| ~ l1_cat_1(X67)
| ~ v2_cat_1(X68)
| ~ l1_cat_1(X68)
| ~ v2_cat_1(X69)
| ~ l1_cat_1(X69)
| ~ m2_cat_1(X70,X67,X68)
| ~ m2_cat_1(X71,X67,X68)
| ~ m2_cat_1(X72,X67,X69)
| ~ m2_cat_1(X73,X67,X69)
| ~ m1_nattra_1(X74,X67,X68,X70,X71)
| ~ m1_nattra_1(X75,X67,X69,X72,X73)
| m1_nattra_1(k15_isocat_2(X67,X68,X69,X70,X71,X72,X73,X74,X75),X67,k11_cat_2(X68,X69),k10_isocat_2(X67,X68,X69,X70,X72),k10_isocat_2(X67,X68,X69,X71,X73)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k15_isocat_2])]) ).
fof(c_0_23,plain,
! [X1,X2,X3,X4] :
( ( ~ v1_xboole_0(X1)
& v1_funct_1(X3)
& v1_funct_2(X3,X1,X2)
& m1_relset_1(X3,X1,X2)
& m1_subset_1(X4,X1) )
=> k8_funct_2(X1,X2,X3,X4) = k1_funct_1(X3,X4) ),
inference(fof_simplification,[status(thm)],[redefinition_k8_funct_2]) ).
fof(c_0_24,plain,
! [X90,X91,X92,X93,X94] :
( ( v1_funct_1(X94)
| ~ m1_nattra_1(X94,X90,X91,X92,X93)
| ~ v2_cat_1(X90)
| ~ l1_cat_1(X90)
| ~ v2_cat_1(X91)
| ~ l1_cat_1(X91)
| ~ m2_cat_1(X92,X90,X91)
| ~ m2_cat_1(X93,X90,X91) )
& ( v1_funct_2(X94,u1_cat_1(X90),u2_cat_1(X91))
| ~ m1_nattra_1(X94,X90,X91,X92,X93)
| ~ v2_cat_1(X90)
| ~ l1_cat_1(X90)
| ~ v2_cat_1(X91)
| ~ l1_cat_1(X91)
| ~ m2_cat_1(X92,X90,X91)
| ~ m2_cat_1(X93,X90,X91) )
& ( m2_relset_1(X94,u1_cat_1(X90),u2_cat_1(X91))
| ~ m1_nattra_1(X94,X90,X91,X92,X93)
| ~ v2_cat_1(X90)
| ~ l1_cat_1(X90)
| ~ v2_cat_1(X91)
| ~ l1_cat_1(X91)
| ~ m2_cat_1(X92,X90,X91)
| ~ m2_cat_1(X93,X90,X91) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m1_nattra_1])])])]) ).
fof(c_0_25,plain,
! [X50,X51] :
( ( v2_cat_1(k11_cat_2(X50,X51))
| ~ v2_cat_1(X50)
| ~ l1_cat_1(X50)
| ~ v2_cat_1(X51)
| ~ l1_cat_1(X51) )
& ( l1_cat_1(k11_cat_2(X50,X51))
| ~ v2_cat_1(X50)
| ~ l1_cat_1(X50)
| ~ v2_cat_1(X51)
| ~ l1_cat_1(X51) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k11_cat_2])])]) ).
fof(c_0_26,plain,
! [X45,X46,X47,X48,X49] :
( ~ v2_cat_1(X45)
| ~ l1_cat_1(X45)
| ~ v2_cat_1(X46)
| ~ l1_cat_1(X46)
| ~ v2_cat_1(X47)
| ~ l1_cat_1(X47)
| ~ m2_cat_1(X48,X45,X46)
| ~ m2_cat_1(X49,X45,X47)
| m2_cat_1(k10_isocat_2(X45,X46,X47,X48,X49),X45,k11_cat_2(X46,X47)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k10_isocat_2])]) ).
cnf(c_0_27,negated_conjecture,
( k8_funct_2(u1_cat_1(esk1_0),u2_cat_1(k11_cat_2(esk2_0,esk3_0)),k15_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0,esk6_0,esk7_0,esk8_0,esk9_0),esk10_0) != k13_cat_2(esk2_0,esk3_0,k5_nattra_1(esk1_0,esk2_0,esk4_0,esk5_0,esk8_0,esk10_0),k5_nattra_1(esk1_0,esk3_0,esk6_0,esk7_0,esk9_0,esk10_0))
| ~ m1_nattra_1(k15_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0,esk6_0,esk7_0,esk8_0,esk9_0),esk1_0,k11_cat_2(esk2_0,esk3_0),k10_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk6_0),k10_isocat_2(esk1_0,esk2_0,esk3_0,esk5_0,esk7_0))
| ~ r1_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),k10_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk6_0),k10_isocat_2(esk1_0,esk2_0,esk3_0,esk5_0,esk7_0))
| ~ m2_cat_1(k10_isocat_2(esk1_0,esk2_0,esk3_0,esk5_0,esk7_0),esk1_0,k11_cat_2(esk2_0,esk3_0))
| ~ m2_cat_1(k10_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk6_0),esk1_0,k11_cat_2(esk2_0,esk3_0))
| ~ l1_cat_1(k11_cat_2(esk2_0,esk3_0))
| ~ v2_cat_1(k11_cat_2(esk2_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),c_0_20]),c_0_21])]) ).
cnf(c_0_28,plain,
( m1_nattra_1(k15_isocat_2(X1,X2,X3,X4,X5,X6,X7,X8,X9),X1,k11_cat_2(X2,X3),k10_isocat_2(X1,X2,X3,X4,X6),k10_isocat_2(X1,X2,X3,X5,X7))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ m2_cat_1(X4,X1,X2)
| ~ m2_cat_1(X5,X1,X2)
| ~ m2_cat_1(X6,X1,X3)
| ~ m2_cat_1(X7,X1,X3)
| ~ m1_nattra_1(X8,X1,X2,X4,X5)
| ~ m1_nattra_1(X9,X1,X3,X6,X7) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_29,negated_conjecture,
m1_nattra_1(esk9_0,esk1_0,esk3_0,esk6_0,esk7_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_30,negated_conjecture,
m1_nattra_1(esk8_0,esk1_0,esk2_0,esk4_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_31,negated_conjecture,
m2_cat_1(esk7_0,esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_32,negated_conjecture,
m2_cat_1(esk6_0,esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_33,negated_conjecture,
m2_cat_1(esk5_0,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_34,negated_conjecture,
m2_cat_1(esk4_0,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_35,negated_conjecture,
l1_cat_1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_36,negated_conjecture,
l1_cat_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_37,negated_conjecture,
v2_cat_1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_38,negated_conjecture,
v2_cat_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_39,plain,
! [X160,X161,X162,X163] :
( v1_xboole_0(X160)
| ~ v1_funct_1(X162)
| ~ v1_funct_2(X162,X160,X161)
| ~ m1_relset_1(X162,X160,X161)
| ~ m1_subset_1(X163,X160)
| k8_funct_2(X160,X161,X162,X163) = k1_funct_1(X162,X163) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])]) ).
cnf(c_0_40,plain,
( v1_funct_1(X1)
| ~ m1_nattra_1(X1,X2,X3,X4,X5)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ m2_cat_1(X4,X2,X3)
| ~ m2_cat_1(X5,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_41,plain,
( v2_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_42,plain,
( l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_43,plain,
( m2_cat_1(k10_isocat_2(X1,X2,X3,X4,X5),X1,k11_cat_2(X2,X3))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ m2_cat_1(X4,X1,X2)
| ~ m2_cat_1(X5,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_44,plain,
! [X28,X29,X30,X31,X32,X33,X34,X35,X36] :
( ~ v2_cat_1(X28)
| ~ l1_cat_1(X28)
| ~ v2_cat_1(X29)
| ~ l1_cat_1(X29)
| ~ v2_cat_1(X30)
| ~ l1_cat_1(X30)
| ~ m2_cat_1(X31,X28,X29)
| ~ m2_cat_1(X32,X28,X29)
| ~ m2_cat_1(X33,X28,X30)
| ~ m2_cat_1(X34,X28,X30)
| ~ r1_nattra_1(X28,X29,X31,X32)
| ~ r1_nattra_1(X28,X30,X33,X34)
| ~ m1_nattra_1(X35,X28,X29,X31,X32)
| ~ m1_nattra_1(X36,X28,X30,X33,X34)
| k15_isocat_2(X28,X29,X30,X31,X32,X33,X34,X35,X36) = k14_funct_3(u1_cat_1(X28),u2_cat_1(X29),u2_cat_1(X30),X35,X36) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d11_isocat_2])])]) ).
fof(c_0_45,plain,
! [X1] :
( l1_cat_1(X1)
=> ~ v1_xboole_0(u1_cat_1(X1)) ),
inference(fof_simplification,[status(thm)],[dt_u1_cat_1]) ).
cnf(c_0_46,negated_conjecture,
( k8_funct_2(u1_cat_1(esk1_0),u2_cat_1(k11_cat_2(esk2_0,esk3_0)),k15_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0,esk6_0,esk7_0,esk8_0,esk9_0),esk10_0) != k13_cat_2(esk2_0,esk3_0,k5_nattra_1(esk1_0,esk2_0,esk4_0,esk5_0,esk8_0,esk10_0),k5_nattra_1(esk1_0,esk3_0,esk6_0,esk7_0,esk9_0,esk10_0))
| ~ r1_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),k10_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk6_0),k10_isocat_2(esk1_0,esk2_0,esk3_0,esk5_0,esk7_0))
| ~ m2_cat_1(k10_isocat_2(esk1_0,esk2_0,esk3_0,esk5_0,esk7_0),esk1_0,k11_cat_2(esk2_0,esk3_0))
| ~ m2_cat_1(k10_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk6_0),esk1_0,k11_cat_2(esk2_0,esk3_0))
| ~ l1_cat_1(k11_cat_2(esk2_0,esk3_0))
| ~ v2_cat_1(k11_cat_2(esk2_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_35]),c_0_36]),c_0_20]),c_0_37]),c_0_38]),c_0_21])]) ).
cnf(c_0_47,plain,
( v1_xboole_0(X1)
| k8_funct_2(X1,X3,X2,X4) = k1_funct_1(X2,X4)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X1,X3)
| ~ m1_relset_1(X2,X1,X3)
| ~ m1_subset_1(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_48,plain,
( v1_funct_2(X1,u1_cat_1(X2),u2_cat_1(X3))
| ~ m1_nattra_1(X1,X2,X3,X4,X5)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ m2_cat_1(X4,X2,X3)
| ~ m2_cat_1(X5,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_49,plain,
! [X164,X165,X166] :
( ( ~ m2_relset_1(X166,X164,X165)
| m1_relset_1(X166,X164,X165) )
& ( ~ m1_relset_1(X166,X164,X165)
| m2_relset_1(X166,X164,X165) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).
cnf(c_0_50,plain,
( m2_relset_1(X1,u1_cat_1(X2),u2_cat_1(X3))
| ~ m1_nattra_1(X1,X2,X3,X4,X5)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ m2_cat_1(X4,X2,X3)
| ~ m2_cat_1(X5,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_51,plain,
( v1_funct_1(k15_isocat_2(X1,X2,X3,X4,X5,X6,X7,X8,X9))
| ~ m1_nattra_1(X9,X1,X3,X6,X7)
| ~ m1_nattra_1(X8,X1,X2,X4,X5)
| ~ m2_cat_1(X7,X1,X3)
| ~ m2_cat_1(X6,X1,X3)
| ~ m2_cat_1(X5,X1,X2)
| ~ m2_cat_1(X4,X1,X2)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X3)
| ~ v2_cat_1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_28]),c_0_41]),c_0_42]),c_0_43]),c_0_43]) ).
cnf(c_0_52,plain,
( k15_isocat_2(X1,X2,X3,X4,X5,X6,X7,X8,X9) = k14_funct_3(u1_cat_1(X1),u2_cat_1(X2),u2_cat_1(X3),X8,X9)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ m2_cat_1(X4,X1,X2)
| ~ m2_cat_1(X5,X1,X2)
| ~ m2_cat_1(X6,X1,X3)
| ~ m2_cat_1(X7,X1,X3)
| ~ r1_nattra_1(X1,X2,X4,X5)
| ~ r1_nattra_1(X1,X3,X6,X7)
| ~ m1_nattra_1(X8,X1,X2,X4,X5)
| ~ m1_nattra_1(X9,X1,X3,X6,X7) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
fof(c_0_53,plain,
! [X130,X131,X132,X133,X134,X135,X136,X137,X138,X139] :
( ~ v2_cat_1(X130)
| ~ l1_cat_1(X130)
| ~ v2_cat_1(X131)
| ~ l1_cat_1(X131)
| ~ v2_cat_1(X132)
| ~ l1_cat_1(X132)
| ~ m2_cat_1(X133,X130,X131)
| ~ m2_cat_1(X134,X130,X131)
| ~ m2_cat_1(X135,X130,X132)
| ~ m2_cat_1(X136,X130,X132)
| ~ r1_nattra_1(X130,X131,X133,X134)
| ~ r1_nattra_1(X130,X132,X135,X136)
| ~ m1_nattra_1(X137,X130,X131,X133,X134)
| ~ m1_nattra_1(X138,X130,X132,X135,X136)
| ~ m1_subset_1(X139,u1_cat_1(X130))
| k8_funct_2(u1_cat_1(X130),k2_zfmisc_1(u2_cat_1(X131),u2_cat_1(X132)),k14_funct_3(u1_cat_1(X130),u2_cat_1(X131),u2_cat_1(X132),X137,X138),X139) = k13_cat_2(X131,X132,k5_nattra_1(X130,X131,X133,X134,X137,X139),k5_nattra_1(X130,X132,X135,X136,X138,X139)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l54_isocat_2])])]) ).
fof(c_0_54,plain,
! [X101] :
( ~ l1_cat_1(X101)
| ~ v1_xboole_0(u1_cat_1(X101)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])]) ).
fof(c_0_55,plain,
! [X1,X2,X3,X4,X5] :
( ( ~ v1_xboole_0(X2)
& ~ v1_xboole_0(X3)
& v1_funct_1(X4)
& v1_funct_2(X4,X1,X2)
& m1_relset_1(X4,X1,X2)
& v1_funct_1(X5)
& v1_funct_2(X5,X1,X3)
& m1_relset_1(X5,X1,X3) )
=> ( v1_funct_1(k14_funct_3(X1,X2,X3,X4,X5))
& v1_funct_2(k14_funct_3(X1,X2,X3,X4,X5),X1,k2_zfmisc_1(X2,X3))
& m2_relset_1(k14_funct_3(X1,X2,X3,X4,X5),X1,k2_zfmisc_1(X2,X3)) ) ),
inference(fof_simplification,[status(thm)],[dt_k14_funct_3]) ).
fof(c_0_56,plain,
! [X1] :
( l1_cat_1(X1)
=> ~ v1_xboole_0(u2_cat_1(X1)) ),
inference(fof_simplification,[status(thm)],[dt_u2_cat_1]) ).
cnf(c_0_57,negated_conjecture,
( v1_xboole_0(u1_cat_1(esk1_0))
| k1_funct_1(k15_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0,esk6_0,esk7_0,esk8_0,esk9_0),esk10_0) != k13_cat_2(esk2_0,esk3_0,k5_nattra_1(esk1_0,esk2_0,esk4_0,esk5_0,esk8_0,esk10_0),k5_nattra_1(esk1_0,esk3_0,esk6_0,esk7_0,esk9_0,esk10_0))
| ~ m1_relset_1(k15_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0,esk6_0,esk7_0,esk8_0,esk9_0),u1_cat_1(esk1_0),u2_cat_1(k11_cat_2(esk2_0,esk3_0)))
| ~ v1_funct_2(k15_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0,esk6_0,esk7_0,esk8_0,esk9_0),u1_cat_1(esk1_0),u2_cat_1(k11_cat_2(esk2_0,esk3_0)))
| ~ v1_funct_1(k15_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0,esk6_0,esk7_0,esk8_0,esk9_0))
| ~ r1_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),k10_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk6_0),k10_isocat_2(esk1_0,esk2_0,esk3_0,esk5_0,esk7_0))
| ~ m2_cat_1(k10_isocat_2(esk1_0,esk2_0,esk3_0,esk5_0,esk7_0),esk1_0,k11_cat_2(esk2_0,esk3_0))
| ~ m2_cat_1(k10_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk6_0),esk1_0,k11_cat_2(esk2_0,esk3_0))
| ~ l1_cat_1(k11_cat_2(esk2_0,esk3_0))
| ~ v2_cat_1(k11_cat_2(esk2_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_19])]) ).
cnf(c_0_58,plain,
( v1_funct_2(k15_isocat_2(X1,X2,X3,X4,X5,X6,X7,X8,X9),u1_cat_1(X1),u2_cat_1(k11_cat_2(X2,X3)))
| ~ m1_nattra_1(X9,X1,X3,X6,X7)
| ~ m1_nattra_1(X8,X1,X2,X4,X5)
| ~ m2_cat_1(X7,X1,X3)
| ~ m2_cat_1(X6,X1,X3)
| ~ m2_cat_1(X5,X1,X2)
| ~ m2_cat_1(X4,X1,X2)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X3)
| ~ v2_cat_1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_28]),c_0_41]),c_0_42]),c_0_43]),c_0_43]) ).
cnf(c_0_59,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_60,plain,
( m2_relset_1(k15_isocat_2(X1,X2,X3,X4,X5,X6,X7,X8,X9),u1_cat_1(X1),u2_cat_1(k11_cat_2(X2,X3)))
| ~ m1_nattra_1(X9,X1,X3,X6,X7)
| ~ m1_nattra_1(X8,X1,X2,X4,X5)
| ~ m2_cat_1(X7,X1,X3)
| ~ m2_cat_1(X6,X1,X3)
| ~ m2_cat_1(X5,X1,X2)
| ~ m2_cat_1(X4,X1,X2)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X3)
| ~ v2_cat_1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_28]),c_0_41]),c_0_42]),c_0_43]),c_0_43]) ).
cnf(c_0_61,plain,
( v1_funct_1(k14_funct_3(u1_cat_1(X1),u2_cat_1(X2),u2_cat_1(X3),X4,X5))
| ~ m1_nattra_1(X5,X1,X3,X6,X7)
| ~ m1_nattra_1(X4,X1,X2,X8,X9)
| ~ r1_nattra_1(X1,X3,X6,X7)
| ~ r1_nattra_1(X1,X2,X8,X9)
| ~ m2_cat_1(X7,X1,X3)
| ~ m2_cat_1(X6,X1,X3)
| ~ m2_cat_1(X9,X1,X2)
| ~ m2_cat_1(X8,X1,X2)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X3)
| ~ v2_cat_1(X2) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_62,negated_conjecture,
r1_nattra_1(esk1_0,esk3_0,esk6_0,esk7_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_63,plain,
( k8_funct_2(u1_cat_1(X1),k2_zfmisc_1(u2_cat_1(X2),u2_cat_1(X3)),k14_funct_3(u1_cat_1(X1),u2_cat_1(X2),u2_cat_1(X3),X8,X9),X10) = k13_cat_2(X2,X3,k5_nattra_1(X1,X2,X4,X5,X8,X10),k5_nattra_1(X1,X3,X6,X7,X9,X10))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ m2_cat_1(X4,X1,X2)
| ~ m2_cat_1(X5,X1,X2)
| ~ m2_cat_1(X6,X1,X3)
| ~ m2_cat_1(X7,X1,X3)
| ~ r1_nattra_1(X1,X2,X4,X5)
| ~ r1_nattra_1(X1,X3,X6,X7)
| ~ m1_nattra_1(X8,X1,X2,X4,X5)
| ~ m1_nattra_1(X9,X1,X3,X6,X7)
| ~ m1_subset_1(X10,u1_cat_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_64,plain,
( ~ l1_cat_1(X1)
| ~ v1_xboole_0(u1_cat_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
fof(c_0_65,plain,
! [X62,X63,X64,X65,X66] :
( ( v1_funct_1(k14_funct_3(X62,X63,X64,X65,X66))
| v1_xboole_0(X63)
| v1_xboole_0(X64)
| ~ v1_funct_1(X65)
| ~ v1_funct_2(X65,X62,X63)
| ~ m1_relset_1(X65,X62,X63)
| ~ v1_funct_1(X66)
| ~ v1_funct_2(X66,X62,X64)
| ~ m1_relset_1(X66,X62,X64) )
& ( v1_funct_2(k14_funct_3(X62,X63,X64,X65,X66),X62,k2_zfmisc_1(X63,X64))
| v1_xboole_0(X63)
| v1_xboole_0(X64)
| ~ v1_funct_1(X65)
| ~ v1_funct_2(X65,X62,X63)
| ~ m1_relset_1(X65,X62,X63)
| ~ v1_funct_1(X66)
| ~ v1_funct_2(X66,X62,X64)
| ~ m1_relset_1(X66,X62,X64) )
& ( m2_relset_1(k14_funct_3(X62,X63,X64,X65,X66),X62,k2_zfmisc_1(X63,X64))
| v1_xboole_0(X63)
| v1_xboole_0(X64)
| ~ v1_funct_1(X65)
| ~ v1_funct_2(X65,X62,X63)
| ~ m1_relset_1(X65,X62,X63)
| ~ v1_funct_1(X66)
| ~ v1_funct_2(X66,X62,X64)
| ~ m1_relset_1(X66,X62,X64) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_55])])]) ).
fof(c_0_66,plain,
! [X102] :
( ~ l1_cat_1(X102)
| ~ v1_xboole_0(u2_cat_1(X102)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_56])]) ).
cnf(c_0_67,negated_conjecture,
( v1_xboole_0(u1_cat_1(esk1_0))
| k1_funct_1(k15_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0,esk6_0,esk7_0,esk8_0,esk9_0),esk10_0) != k13_cat_2(esk2_0,esk3_0,k5_nattra_1(esk1_0,esk2_0,esk4_0,esk5_0,esk8_0,esk10_0),k5_nattra_1(esk1_0,esk3_0,esk6_0,esk7_0,esk9_0,esk10_0))
| ~ m1_relset_1(k15_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0,esk6_0,esk7_0,esk8_0,esk9_0),u1_cat_1(esk1_0),u2_cat_1(k11_cat_2(esk2_0,esk3_0)))
| ~ v1_funct_1(k15_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0,esk6_0,esk7_0,esk8_0,esk9_0))
| ~ r1_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),k10_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk6_0),k10_isocat_2(esk1_0,esk2_0,esk3_0,esk5_0,esk7_0))
| ~ m2_cat_1(k10_isocat_2(esk1_0,esk2_0,esk3_0,esk5_0,esk7_0),esk1_0,k11_cat_2(esk2_0,esk3_0))
| ~ m2_cat_1(k10_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk6_0),esk1_0,k11_cat_2(esk2_0,esk3_0))
| ~ l1_cat_1(k11_cat_2(esk2_0,esk3_0))
| ~ v2_cat_1(k11_cat_2(esk2_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_29]),c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_20]),c_0_35]),c_0_36]),c_0_21]),c_0_37]),c_0_38])]) ).
cnf(c_0_68,plain,
( m1_relset_1(k15_isocat_2(X1,X2,X3,X4,X5,X6,X7,X8,X9),u1_cat_1(X1),u2_cat_1(k11_cat_2(X2,X3)))
| ~ m1_nattra_1(X9,X1,X3,X6,X7)
| ~ m1_nattra_1(X8,X1,X2,X4,X5)
| ~ m2_cat_1(X7,X1,X3)
| ~ m2_cat_1(X6,X1,X3)
| ~ m2_cat_1(X5,X1,X2)
| ~ m2_cat_1(X4,X1,X2)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X3)
| ~ v2_cat_1(X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_69,negated_conjecture,
( v1_funct_1(k14_funct_3(u1_cat_1(esk1_0),u2_cat_1(X1),u2_cat_1(esk3_0),X2,esk9_0))
| ~ m1_nattra_1(X2,esk1_0,X1,X3,X4)
| ~ r1_nattra_1(esk1_0,X1,X3,X4)
| ~ m2_cat_1(X4,esk1_0,X1)
| ~ m2_cat_1(X3,esk1_0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_29]),c_0_62]),c_0_31]),c_0_32]),c_0_20]),c_0_35]),c_0_21]),c_0_37])]) ).
cnf(c_0_70,negated_conjecture,
r1_nattra_1(esk1_0,esk2_0,esk4_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_71,plain,
( k13_cat_2(X1,X2,k5_nattra_1(X3,X1,X4,X5,X6,X7),k5_nattra_1(X3,X2,X8,X9,X10,X7)) = k1_funct_1(k14_funct_3(u1_cat_1(X3),u2_cat_1(X1),u2_cat_1(X2),X6,X10),X7)
| ~ m1_relset_1(k14_funct_3(u1_cat_1(X3),u2_cat_1(X1),u2_cat_1(X2),X6,X10),u1_cat_1(X3),k2_zfmisc_1(u2_cat_1(X1),u2_cat_1(X2)))
| ~ v1_funct_2(k14_funct_3(u1_cat_1(X3),u2_cat_1(X1),u2_cat_1(X2),X6,X10),u1_cat_1(X3),k2_zfmisc_1(u2_cat_1(X1),u2_cat_1(X2)))
| ~ v1_funct_1(k14_funct_3(u1_cat_1(X3),u2_cat_1(X1),u2_cat_1(X2),X6,X10))
| ~ m1_subset_1(X7,u1_cat_1(X3))
| ~ m1_nattra_1(X10,X3,X2,X8,X9)
| ~ m1_nattra_1(X6,X3,X1,X4,X5)
| ~ r1_nattra_1(X3,X2,X8,X9)
| ~ r1_nattra_1(X3,X1,X4,X5)
| ~ m2_cat_1(X9,X3,X2)
| ~ m2_cat_1(X8,X3,X2)
| ~ m2_cat_1(X5,X3,X1)
| ~ m2_cat_1(X4,X3,X1)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_63]),c_0_64]) ).
cnf(c_0_72,plain,
( v1_funct_2(k14_funct_3(X1,X2,X3,X4,X5),X1,k2_zfmisc_1(X2,X3))
| v1_xboole_0(X2)
| v1_xboole_0(X3)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,X1,X2)
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,X1,X3)
| ~ m1_relset_1(X5,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_73,plain,
( ~ l1_cat_1(X1)
| ~ v1_xboole_0(u2_cat_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_74,plain,
( m2_relset_1(k14_funct_3(X1,X2,X3,X4,X5),X1,k2_zfmisc_1(X2,X3))
| v1_xboole_0(X2)
| v1_xboole_0(X3)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,X1,X2)
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,X1,X3)
| ~ m1_relset_1(X5,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_75,negated_conjecture,
( v1_xboole_0(u1_cat_1(esk1_0))
| k1_funct_1(k15_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0,esk6_0,esk7_0,esk8_0,esk9_0),esk10_0) != k13_cat_2(esk2_0,esk3_0,k5_nattra_1(esk1_0,esk2_0,esk4_0,esk5_0,esk8_0,esk10_0),k5_nattra_1(esk1_0,esk3_0,esk6_0,esk7_0,esk9_0,esk10_0))
| ~ v1_funct_1(k15_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0,esk6_0,esk7_0,esk8_0,esk9_0))
| ~ r1_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),k10_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk6_0),k10_isocat_2(esk1_0,esk2_0,esk3_0,esk5_0,esk7_0))
| ~ m2_cat_1(k10_isocat_2(esk1_0,esk2_0,esk3_0,esk5_0,esk7_0),esk1_0,k11_cat_2(esk2_0,esk3_0))
| ~ m2_cat_1(k10_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk6_0),esk1_0,k11_cat_2(esk2_0,esk3_0))
| ~ l1_cat_1(k11_cat_2(esk2_0,esk3_0))
| ~ v2_cat_1(k11_cat_2(esk2_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_29]),c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_20]),c_0_35]),c_0_36]),c_0_21]),c_0_37]),c_0_38])]) ).
cnf(c_0_76,negated_conjecture,
v1_funct_1(k14_funct_3(u1_cat_1(esk1_0),u2_cat_1(esk2_0),u2_cat_1(esk3_0),esk8_0,esk9_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_30]),c_0_70]),c_0_33]),c_0_34]),c_0_36]),c_0_38])]) ).
cnf(c_0_77,plain,
( k13_cat_2(X1,X2,k5_nattra_1(X3,X1,X4,X5,X6,X7),k5_nattra_1(X3,X2,X8,X9,X10,X7)) = k1_funct_1(k14_funct_3(u1_cat_1(X3),u2_cat_1(X1),u2_cat_1(X2),X6,X10),X7)
| ~ m1_relset_1(k14_funct_3(u1_cat_1(X3),u2_cat_1(X1),u2_cat_1(X2),X6,X10),u1_cat_1(X3),k2_zfmisc_1(u2_cat_1(X1),u2_cat_1(X2)))
| ~ m1_relset_1(X10,u1_cat_1(X3),u2_cat_1(X2))
| ~ m1_relset_1(X6,u1_cat_1(X3),u2_cat_1(X1))
| ~ v1_funct_1(k14_funct_3(u1_cat_1(X3),u2_cat_1(X1),u2_cat_1(X2),X6,X10))
| ~ m1_subset_1(X7,u1_cat_1(X3))
| ~ m1_nattra_1(X10,X3,X2,X8,X9)
| ~ m1_nattra_1(X6,X3,X1,X4,X5)
| ~ r1_nattra_1(X3,X2,X8,X9)
| ~ r1_nattra_1(X3,X1,X4,X5)
| ~ m2_cat_1(X9,X3,X2)
| ~ m2_cat_1(X8,X3,X2)
| ~ m2_cat_1(X5,X3,X1)
| ~ m2_cat_1(X4,X3,X1)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_40]),c_0_40]),c_0_48]),c_0_48]),c_0_73]),c_0_73]) ).
cnf(c_0_78,plain,
( m1_relset_1(k14_funct_3(X1,X2,X3,X4,X5),X1,k2_zfmisc_1(X2,X3))
| v1_xboole_0(X3)
| v1_xboole_0(X2)
| ~ m1_relset_1(X5,X1,X3)
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_2(X5,X1,X3)
| ~ v1_funct_2(X4,X1,X2)
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X4) ),
inference(spm,[status(thm)],[c_0_59,c_0_74]) ).
cnf(c_0_79,negated_conjecture,
m2_relset_1(esk9_0,u1_cat_1(esk1_0),u2_cat_1(esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_29]),c_0_31]),c_0_32]),c_0_35]),c_0_20]),c_0_37]),c_0_21])]) ).
cnf(c_0_80,negated_conjecture,
m2_relset_1(esk8_0,u1_cat_1(esk1_0),u2_cat_1(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_30]),c_0_33]),c_0_34]),c_0_36]),c_0_20]),c_0_38]),c_0_21])]) ).
cnf(c_0_81,negated_conjecture,
( v1_xboole_0(u1_cat_1(esk1_0))
| k13_cat_2(esk2_0,esk3_0,k5_nattra_1(esk1_0,esk2_0,esk4_0,esk5_0,esk8_0,esk10_0),k5_nattra_1(esk1_0,esk3_0,esk6_0,esk7_0,esk9_0,esk10_0)) != k1_funct_1(k14_funct_3(u1_cat_1(esk1_0),u2_cat_1(esk2_0),u2_cat_1(esk3_0),esk8_0,esk9_0),esk10_0)
| ~ r1_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),k10_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk6_0),k10_isocat_2(esk1_0,esk2_0,esk3_0,esk5_0,esk7_0))
| ~ m2_cat_1(k10_isocat_2(esk1_0,esk2_0,esk3_0,esk5_0,esk7_0),esk1_0,k11_cat_2(esk2_0,esk3_0))
| ~ m2_cat_1(k10_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk6_0),esk1_0,k11_cat_2(esk2_0,esk3_0))
| ~ l1_cat_1(k11_cat_2(esk2_0,esk3_0))
| ~ v2_cat_1(k11_cat_2(esk2_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_52]),c_0_29]),c_0_30]),c_0_62]),c_0_70]),c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_35]),c_0_36]),c_0_20]),c_0_37]),c_0_38]),c_0_21])]),c_0_76])]) ).
cnf(c_0_82,plain,
( k13_cat_2(X1,X2,k5_nattra_1(X3,X1,X4,X5,X6,X7),k5_nattra_1(X3,X2,X8,X9,X10,X7)) = k1_funct_1(k14_funct_3(u1_cat_1(X3),u2_cat_1(X1),u2_cat_1(X2),X6,X10),X7)
| ~ m1_relset_1(X10,u1_cat_1(X3),u2_cat_1(X2))
| ~ m1_relset_1(X6,u1_cat_1(X3),u2_cat_1(X1))
| ~ m1_subset_1(X7,u1_cat_1(X3))
| ~ m1_nattra_1(X10,X3,X2,X8,X9)
| ~ m1_nattra_1(X6,X3,X1,X4,X5)
| ~ r1_nattra_1(X3,X2,X8,X9)
| ~ r1_nattra_1(X3,X1,X4,X5)
| ~ m2_cat_1(X9,X3,X2)
| ~ m2_cat_1(X8,X3,X2)
| ~ m2_cat_1(X5,X3,X1)
| ~ m2_cat_1(X4,X3,X1)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_40]),c_0_40]),c_0_61]),c_0_48]),c_0_48]),c_0_73]),c_0_73]) ).
cnf(c_0_83,negated_conjecture,
m1_relset_1(esk9_0,u1_cat_1(esk1_0),u2_cat_1(esk3_0)),
inference(spm,[status(thm)],[c_0_59,c_0_79]) ).
cnf(c_0_84,negated_conjecture,
m1_relset_1(esk8_0,u1_cat_1(esk1_0),u2_cat_1(esk2_0)),
inference(spm,[status(thm)],[c_0_59,c_0_80]) ).
fof(c_0_85,plain,
! [X178,X179,X180,X181,X182,X183,X184] :
( ~ v2_cat_1(X178)
| ~ l1_cat_1(X178)
| ~ v2_cat_1(X179)
| ~ l1_cat_1(X179)
| ~ v2_cat_1(X180)
| ~ l1_cat_1(X180)
| ~ m2_cat_1(X181,X178,X179)
| ~ m2_cat_1(X182,X178,X179)
| ~ m2_cat_1(X183,X178,X180)
| ~ m2_cat_1(X184,X178,X180)
| ~ r1_nattra_1(X178,X179,X181,X182)
| ~ r1_nattra_1(X178,X180,X183,X184)
| r1_nattra_1(X178,k11_cat_2(X179,X180),k10_isocat_2(X178,X179,X180,X181,X183),k10_isocat_2(X178,X179,X180,X182,X184)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t44_isocat_2])])]) ).
cnf(c_0_86,negated_conjecture,
( v1_xboole_0(u1_cat_1(esk1_0))
| ~ r1_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),k10_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk6_0),k10_isocat_2(esk1_0,esk2_0,esk3_0,esk5_0,esk7_0))
| ~ m2_cat_1(k10_isocat_2(esk1_0,esk2_0,esk3_0,esk5_0,esk7_0),esk1_0,k11_cat_2(esk2_0,esk3_0))
| ~ m2_cat_1(k10_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk6_0),esk1_0,k11_cat_2(esk2_0,esk3_0))
| ~ l1_cat_1(k11_cat_2(esk2_0,esk3_0))
| ~ v2_cat_1(k11_cat_2(esk2_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_83]),c_0_84]),c_0_19]),c_0_29]),c_0_30]),c_0_62]),c_0_70]),c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_35]),c_0_36]),c_0_20]),c_0_37]),c_0_38]),c_0_21])]) ).
cnf(c_0_87,plain,
( r1_nattra_1(X1,k11_cat_2(X2,X3),k10_isocat_2(X1,X2,X3,X4,X6),k10_isocat_2(X1,X2,X3,X5,X7))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ m2_cat_1(X4,X1,X2)
| ~ m2_cat_1(X5,X1,X2)
| ~ m2_cat_1(X6,X1,X3)
| ~ m2_cat_1(X7,X1,X3)
| ~ r1_nattra_1(X1,X2,X4,X5)
| ~ r1_nattra_1(X1,X3,X6,X7) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_88,negated_conjecture,
( v1_xboole_0(u1_cat_1(esk1_0))
| ~ m2_cat_1(k10_isocat_2(esk1_0,esk2_0,esk3_0,esk5_0,esk7_0),esk1_0,k11_cat_2(esk2_0,esk3_0))
| ~ m2_cat_1(k10_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk6_0),esk1_0,k11_cat_2(esk2_0,esk3_0))
| ~ l1_cat_1(k11_cat_2(esk2_0,esk3_0))
| ~ v2_cat_1(k11_cat_2(esk2_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_62]),c_0_70]),c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_35]),c_0_36]),c_0_20]),c_0_37]),c_0_38]),c_0_21])]) ).
cnf(c_0_89,negated_conjecture,
( v1_xboole_0(u1_cat_1(esk1_0))
| ~ m2_cat_1(k10_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk6_0),esk1_0,k11_cat_2(esk2_0,esk3_0))
| ~ l1_cat_1(k11_cat_2(esk2_0,esk3_0))
| ~ v2_cat_1(k11_cat_2(esk2_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_43]),c_0_31]),c_0_33]),c_0_35]),c_0_36]),c_0_20]),c_0_37]),c_0_38]),c_0_21])]) ).
cnf(c_0_90,negated_conjecture,
( v1_xboole_0(u1_cat_1(esk1_0))
| ~ l1_cat_1(k11_cat_2(esk2_0,esk3_0))
| ~ v2_cat_1(k11_cat_2(esk2_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_43]),c_0_32]),c_0_34]),c_0_35]),c_0_36]),c_0_20]),c_0_37]),c_0_38]),c_0_21])]) ).
cnf(c_0_91,negated_conjecture,
( v1_xboole_0(u1_cat_1(esk1_0))
| ~ v2_cat_1(k11_cat_2(esk2_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_42]),c_0_35]),c_0_36]),c_0_37]),c_0_38])]) ).
cnf(c_0_92,negated_conjecture,
v1_xboole_0(u1_cat_1(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_41]),c_0_35]),c_0_36]),c_0_37]),c_0_38])]) ).
cnf(c_0_93,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_92]),c_0_20])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : CAT031+1 : TPTP v8.1.2. Released v3.4.0.
% 0.13/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35 % Computer : n003.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun Aug 27 01:02:54 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.58 start to proof: theBenchmark
% 7.64/7.74 % Version : CSE_E---1.5
% 7.64/7.74 % Problem : theBenchmark.p
% 7.64/7.74 % Proof found
% 7.64/7.74 % SZS status Theorem for theBenchmark.p
% 7.64/7.74 % SZS output start Proof
% See solution above
% 7.64/7.75 % Total time : 7.144000 s
% 7.64/7.75 % SZS output end Proof
% 7.64/7.75 % Total time : 7.149000 s
%------------------------------------------------------------------------------