TSTP Solution File: CAT027+1 by E-SAT---3.1.00
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%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : CAT027+1 : TPTP v8.2.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n014.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 : Mon May 20 18:59:41 EDT 2024
% Result : Theorem 4.20s 0.95s
% Output : CNFRefutation 4.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 20
% Syntax : Number of formulae : 126 ( 42 unt; 0 def)
% Number of atoms : 597 ( 20 equ)
% Maximal formula atoms : 24 ( 4 avg)
% Number of connectives : 785 ( 314 ~; 311 |; 106 &)
% ( 1 <=>; 53 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-6 aty)
% Number of functors : 16 ( 16 usr; 4 con; 0-7 aty)
% Number of variables : 273 ( 0 sgn 166 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t40_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,k11_cat_2(X2,X3))
=> ( r4_nattra_1(u1_cat_1(X1),u2_cat_1(X2),u1_cat_1(X1),u2_cat_1(X2),k7_nattra_1(X1,X2,k11_isocat_2(X1,X2,X3,X4)),k13_isocat_2(X1,X2,X3,X4,X4,k7_nattra_1(X1,k11_cat_2(X2,X3),X4)))
& r4_nattra_1(u1_cat_1(X1),u2_cat_1(X3),u1_cat_1(X1),u2_cat_1(X3),k7_nattra_1(X1,X3,k12_isocat_2(X1,X2,X3,X4)),k14_isocat_2(X1,X2,X3,X4,X4,k7_nattra_1(X1,k11_cat_2(X2,X3),X4))) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t40_isocat_2) ).
fof(dt_k7_nattra_1,axiom,
! [X1,X2,X3] :
( ( v2_cat_1(X1)
& l1_cat_1(X1)
& v2_cat_1(X2)
& l1_cat_1(X2)
& m2_cat_1(X3,X1,X2) )
=> m2_nattra_1(k7_nattra_1(X1,X2,X3),X1,X2,X3,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_nattra_1) ).
fof(dt_k13_isocat_2,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( 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,k11_cat_2(X2,X3))
& m2_cat_1(X5,X1,k11_cat_2(X2,X3))
& m2_nattra_1(X6,X1,k11_cat_2(X2,X3),X4,X5) )
=> m2_nattra_1(k13_isocat_2(X1,X2,X3,X4,X5,X6),X1,X2,k11_isocat_2(X1,X2,X3,X4),k11_isocat_2(X1,X2,X3,X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k13_isocat_2) ).
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_k11_isocat_2,axiom,
! [X1,X2,X3,X4] :
( ( 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,k11_cat_2(X2,X3)) )
=> m2_cat_1(k11_isocat_2(X1,X2,X3,X4),X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k11_isocat_2) ).
fof(dt_k14_isocat_2,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( 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,k11_cat_2(X2,X3))
& m2_cat_1(X5,X1,k11_cat_2(X2,X3))
& m2_nattra_1(X6,X1,k11_cat_2(X2,X3),X4,X5) )
=> m2_nattra_1(k14_isocat_2(X1,X2,X3,X4,X5,X6),X1,X3,k12_isocat_2(X1,X2,X3,X4),k12_isocat_2(X1,X2,X3,X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k14_isocat_2) ).
fof(d9_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,k11_cat_2(X2,X3))
=> ! [X5] :
( m2_cat_1(X5,X1,k11_cat_2(X2,X3))
=> ! [X6] :
( m2_nattra_1(X6,X1,k11_cat_2(X2,X3),X4,X5)
=> k13_isocat_2(X1,X2,X3,X4,X5,X6) = k6_isocat_1(X1,k11_cat_2(X2,X3),X2,X4,X5,X6,k8_isocat_2(X2,X3)) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9_isocat_2) ).
fof(dt_k12_isocat_2,axiom,
! [X1,X2,X3,X4] :
( ( 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,k11_cat_2(X2,X3)) )
=> m2_cat_1(k12_isocat_2(X1,X2,X3,X4),X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k12_isocat_2) ).
fof(dt_m2_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] :
( m2_nattra_1(X5,X1,X2,X3,X4)
=> m1_nattra_1(X5,X1,X2,X3,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_nattra_1) ).
fof(d10_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,k11_cat_2(X2,X3))
=> ! [X5] :
( m2_cat_1(X5,X1,k11_cat_2(X2,X3))
=> ! [X6] :
( m2_nattra_1(X6,X1,k11_cat_2(X2,X3),X4,X5)
=> k14_isocat_2(X1,X2,X3,X4,X5,X6) = k6_isocat_1(X1,k11_cat_2(X2,X3),X3,X4,X5,X6,k9_isocat_2(X2,X3)) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_isocat_2) ).
fof(t38_isocat_1,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,X2,X3)
=> r4_nattra_1(u1_cat_1(X1),u2_cat_1(X3),u1_cat_1(X1),u2_cat_1(X3),k6_isocat_1(X1,X2,X3,X4,X4,k7_nattra_1(X1,X2,X4),X5),k7_nattra_1(X1,X3,k2_isocat_1(X1,X2,X3,X4,X5))) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t38_isocat_1) ).
fof(dt_k8_isocat_2,axiom,
! [X1,X2] :
( ( v2_cat_1(X1)
& l1_cat_1(X1)
& v2_cat_1(X2)
& l1_cat_1(X2) )
=> m2_cat_1(k8_isocat_2(X1,X2),k11_cat_2(X1,X2),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_isocat_2) ).
fof(d7_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,k11_cat_2(X2,X3))
=> k11_isocat_2(X1,X2,X3,X4) = k2_isocat_1(X1,k11_cat_2(X2,X3),X2,X4,k8_isocat_2(X2,X3)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d7_isocat_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(symmetry_r4_nattra_1,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X2)
& ~ v1_xboole_0(X3)
& ~ v1_xboole_0(X4)
& v1_funct_1(X5)
& v1_funct_2(X5,X1,X2)
& m1_relset_1(X5,X1,X2)
& v1_funct_1(X6)
& v1_funct_2(X6,X3,X4)
& m1_relset_1(X6,X3,X4) )
=> ( r4_nattra_1(X1,X2,X3,X4,X5,X6)
=> r4_nattra_1(X1,X2,X3,X4,X6,X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_r4_nattra_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(dt_k9_isocat_2,axiom,
! [X1,X2] :
( ( v2_cat_1(X1)
& l1_cat_1(X1)
& v2_cat_1(X2)
& l1_cat_1(X2) )
=> m2_cat_1(k9_isocat_2(X1,X2),k11_cat_2(X1,X2),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k9_isocat_2) ).
fof(d8_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,k11_cat_2(X2,X3))
=> k12_isocat_2(X1,X2,X3,X4) = k2_isocat_1(X1,k11_cat_2(X2,X3),X3,X4,k9_isocat_2(X2,X3)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_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(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(c_0_20,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,k11_cat_2(X2,X3))
=> ( r4_nattra_1(u1_cat_1(X1),u2_cat_1(X2),u1_cat_1(X1),u2_cat_1(X2),k7_nattra_1(X1,X2,k11_isocat_2(X1,X2,X3,X4)),k13_isocat_2(X1,X2,X3,X4,X4,k7_nattra_1(X1,k11_cat_2(X2,X3),X4)))
& r4_nattra_1(u1_cat_1(X1),u2_cat_1(X3),u1_cat_1(X1),u2_cat_1(X3),k7_nattra_1(X1,X3,k12_isocat_2(X1,X2,X3,X4)),k14_isocat_2(X1,X2,X3,X4,X4,k7_nattra_1(X1,k11_cat_2(X2,X3),X4))) ) ) ) ) ),
inference(assume_negation,[status(cth)],[t40_isocat_2]) ).
fof(c_0_21,plain,
! [X159,X160,X161] :
( ~ v2_cat_1(X159)
| ~ l1_cat_1(X159)
| ~ v2_cat_1(X160)
| ~ l1_cat_1(X160)
| ~ m2_cat_1(X161,X159,X160)
| m2_nattra_1(k7_nattra_1(X159,X160,X161),X159,X160,X161,X161) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k7_nattra_1])])]) ).
fof(c_0_22,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,k11_cat_2(esk2_0,esk3_0))
& ( ~ r4_nattra_1(u1_cat_1(esk1_0),u2_cat_1(esk2_0),u1_cat_1(esk1_0),u2_cat_1(esk2_0),k7_nattra_1(esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)),k13_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk4_0,k7_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0)))
| ~ r4_nattra_1(u1_cat_1(esk1_0),u2_cat_1(esk3_0),u1_cat_1(esk1_0),u2_cat_1(esk3_0),k7_nattra_1(esk1_0,esk3_0,k12_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)),k14_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk4_0,k7_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0))) ) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])]) ).
fof(c_0_23,plain,
! [X135,X136,X137,X138,X139,X140] :
( ~ v2_cat_1(X135)
| ~ l1_cat_1(X135)
| ~ v2_cat_1(X136)
| ~ l1_cat_1(X136)
| ~ v2_cat_1(X137)
| ~ l1_cat_1(X137)
| ~ m2_cat_1(X138,X135,k11_cat_2(X136,X137))
| ~ m2_cat_1(X139,X135,k11_cat_2(X136,X137))
| ~ m2_nattra_1(X140,X135,k11_cat_2(X136,X137),X138,X139)
| m2_nattra_1(k13_isocat_2(X135,X136,X137,X138,X139,X140),X135,X136,k11_isocat_2(X135,X136,X137,X138),k11_isocat_2(X135,X136,X137,X139)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k13_isocat_2])])]) ).
cnf(c_0_24,plain,
( m2_nattra_1(k7_nattra_1(X1,X2,X3),X1,X2,X3,X3)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_25,negated_conjecture,
m2_cat_1(esk4_0,esk1_0,k11_cat_2(esk2_0,esk3_0)),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_26,negated_conjecture,
l1_cat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_27,negated_conjecture,
v2_cat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_28,plain,
! [X125,X126] :
( ( v2_cat_1(k11_cat_2(X125,X126))
| ~ v2_cat_1(X125)
| ~ l1_cat_1(X125)
| ~ v2_cat_1(X126)
| ~ l1_cat_1(X126) )
& ( l1_cat_1(k11_cat_2(X125,X126))
| ~ v2_cat_1(X125)
| ~ l1_cat_1(X125)
| ~ v2_cat_1(X126)
| ~ l1_cat_1(X126) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k11_cat_2])])])]) ).
fof(c_0_29,plain,
! [X127,X128,X129,X130] :
( ~ v2_cat_1(X127)
| ~ l1_cat_1(X127)
| ~ v2_cat_1(X128)
| ~ l1_cat_1(X128)
| ~ v2_cat_1(X129)
| ~ l1_cat_1(X129)
| ~ m2_cat_1(X130,X127,k11_cat_2(X128,X129))
| m2_cat_1(k11_isocat_2(X127,X128,X129,X130),X127,X128) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k11_isocat_2])])]) ).
cnf(c_0_30,plain,
( m2_nattra_1(k13_isocat_2(X1,X2,X3,X4,X5,X6),X1,X2,k11_isocat_2(X1,X2,X3,X4),k11_isocat_2(X1,X2,X3,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,k11_cat_2(X2,X3))
| ~ m2_cat_1(X5,X1,k11_cat_2(X2,X3))
| ~ m2_nattra_1(X6,X1,k11_cat_2(X2,X3),X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_31,negated_conjecture,
l1_cat_1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_32,negated_conjecture,
l1_cat_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_33,negated_conjecture,
v2_cat_1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_34,negated_conjecture,
v2_cat_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_35,negated_conjecture,
( m2_nattra_1(k7_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0),esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0,esk4_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(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),c_0_27])]) ).
cnf(c_0_36,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_28]) ).
fof(c_0_37,plain,
! [X141,X142,X143,X144,X145,X146] :
( ~ v2_cat_1(X141)
| ~ l1_cat_1(X141)
| ~ v2_cat_1(X142)
| ~ l1_cat_1(X142)
| ~ v2_cat_1(X143)
| ~ l1_cat_1(X143)
| ~ m2_cat_1(X144,X141,k11_cat_2(X142,X143))
| ~ m2_cat_1(X145,X141,k11_cat_2(X142,X143))
| ~ m2_nattra_1(X146,X141,k11_cat_2(X142,X143),X144,X145)
| m2_nattra_1(k14_isocat_2(X141,X142,X143,X144,X145,X146),X141,X143,k12_isocat_2(X141,X142,X143,X144),k12_isocat_2(X141,X142,X143,X145)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k14_isocat_2])])]) ).
fof(c_0_38,plain,
! [X175,X176,X177,X178,X179,X180] :
( ~ v2_cat_1(X175)
| ~ l1_cat_1(X175)
| ~ v2_cat_1(X176)
| ~ l1_cat_1(X176)
| ~ v2_cat_1(X177)
| ~ l1_cat_1(X177)
| ~ m2_cat_1(X178,X175,k11_cat_2(X176,X177))
| ~ m2_cat_1(X179,X175,k11_cat_2(X176,X177))
| ~ m2_nattra_1(X180,X175,k11_cat_2(X176,X177),X178,X179)
| k13_isocat_2(X175,X176,X177,X178,X179,X180) = k6_isocat_1(X175,k11_cat_2(X176,X177),X176,X178,X179,X180,k8_isocat_2(X176,X177)) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d9_isocat_2])])])]) ).
cnf(c_0_39,plain,
( m2_cat_1(k11_isocat_2(X1,X2,X3,X4),X1,X2)
| ~ 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,k11_cat_2(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_40,negated_conjecture,
( m2_nattra_1(k13_isocat_2(esk1_0,esk2_0,esk3_0,X1,esk4_0,X2),esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,X1),k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0))
| ~ m2_nattra_1(X2,esk1_0,k11_cat_2(esk2_0,esk3_0),X1,esk4_0)
| ~ m2_cat_1(X1,esk1_0,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(spm,[status(thm)],[c_0_30,c_0_25]),c_0_31]),c_0_32]),c_0_26]),c_0_33]),c_0_34]),c_0_27])]) ).
cnf(c_0_41,negated_conjecture,
( m2_nattra_1(k7_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0),esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0,esk4_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_35,c_0_36]),c_0_31]),c_0_32]),c_0_33]),c_0_34])]) ).
cnf(c_0_42,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_28]) ).
fof(c_0_43,plain,
! [X131,X132,X133,X134] :
( ~ v2_cat_1(X131)
| ~ l1_cat_1(X131)
| ~ v2_cat_1(X132)
| ~ l1_cat_1(X132)
| ~ v2_cat_1(X133)
| ~ l1_cat_1(X133)
| ~ m2_cat_1(X134,X131,k11_cat_2(X132,X133))
| m2_cat_1(k12_isocat_2(X131,X132,X133,X134),X131,X133) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k12_isocat_2])])]) ).
cnf(c_0_44,plain,
( m2_nattra_1(k14_isocat_2(X1,X2,X3,X4,X5,X6),X1,X3,k12_isocat_2(X1,X2,X3,X4),k12_isocat_2(X1,X2,X3,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,k11_cat_2(X2,X3))
| ~ m2_cat_1(X5,X1,k11_cat_2(X2,X3))
| ~ m2_nattra_1(X6,X1,k11_cat_2(X2,X3),X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_45,plain,
( k13_isocat_2(X1,X2,X3,X4,X5,X6) = k6_isocat_1(X1,k11_cat_2(X2,X3),X2,X4,X5,X6,k8_isocat_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,k11_cat_2(X2,X3))
| ~ m2_cat_1(X5,X1,k11_cat_2(X2,X3))
| ~ m2_nattra_1(X6,X1,k11_cat_2(X2,X3),X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
fof(c_0_46,plain,
! [X80,X81,X82,X83,X84] :
( ~ v2_cat_1(X80)
| ~ l1_cat_1(X80)
| ~ v2_cat_1(X81)
| ~ l1_cat_1(X81)
| ~ m2_cat_1(X82,X80,X81)
| ~ m2_cat_1(X83,X80,X81)
| ~ m2_nattra_1(X84,X80,X81,X82,X83)
| m1_nattra_1(X84,X80,X81,X82,X83) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_nattra_1])])])]) ).
cnf(c_0_47,negated_conjecture,
m2_cat_1(k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0),esk1_0,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_39,c_0_25]),c_0_31]),c_0_32]),c_0_26]),c_0_33]),c_0_34]),c_0_27])]) ).
cnf(c_0_48,negated_conjecture,
( m2_nattra_1(k13_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk4_0,X1),esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0),k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0))
| ~ m2_nattra_1(X1,esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_40,c_0_25]) ).
cnf(c_0_49,negated_conjecture,
m2_nattra_1(k7_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0),esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0,esk4_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_41,c_0_42]),c_0_31]),c_0_32]),c_0_33]),c_0_34])]) ).
fof(c_0_50,plain,
! [X181,X182,X183,X184,X185,X186] :
( ~ v2_cat_1(X181)
| ~ l1_cat_1(X181)
| ~ v2_cat_1(X182)
| ~ l1_cat_1(X182)
| ~ v2_cat_1(X183)
| ~ l1_cat_1(X183)
| ~ m2_cat_1(X184,X181,k11_cat_2(X182,X183))
| ~ m2_cat_1(X185,X181,k11_cat_2(X182,X183))
| ~ m2_nattra_1(X186,X181,k11_cat_2(X182,X183),X184,X185)
| k14_isocat_2(X181,X182,X183,X184,X185,X186) = k6_isocat_1(X181,k11_cat_2(X182,X183),X183,X184,X185,X186,k9_isocat_2(X182,X183)) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d10_isocat_2])])])]) ).
cnf(c_0_51,plain,
( m2_cat_1(k12_isocat_2(X1,X2,X3,X4),X1,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,k11_cat_2(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_52,negated_conjecture,
( m2_nattra_1(k14_isocat_2(esk1_0,esk2_0,esk3_0,X1,esk4_0,X2),esk1_0,esk3_0,k12_isocat_2(esk1_0,esk2_0,esk3_0,X1),k12_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0))
| ~ m2_nattra_1(X2,esk1_0,k11_cat_2(esk2_0,esk3_0),X1,esk4_0)
| ~ m2_cat_1(X1,esk1_0,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(spm,[status(thm)],[c_0_44,c_0_25]),c_0_31]),c_0_32]),c_0_26]),c_0_33]),c_0_34]),c_0_27])]) ).
fof(c_0_53,plain,
! [X187,X188,X189,X190,X191] :
( ~ v2_cat_1(X187)
| ~ l1_cat_1(X187)
| ~ v2_cat_1(X188)
| ~ l1_cat_1(X188)
| ~ v2_cat_1(X189)
| ~ l1_cat_1(X189)
| ~ m2_cat_1(X190,X187,X188)
| ~ m2_cat_1(X191,X188,X189)
| r4_nattra_1(u1_cat_1(X187),u2_cat_1(X189),u1_cat_1(X187),u2_cat_1(X189),k6_isocat_1(X187,X188,X189,X190,X190,k7_nattra_1(X187,X188,X190),X191),k7_nattra_1(X187,X189,k2_isocat_1(X187,X188,X189,X190,X191))) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t38_isocat_1])])])]) ).
fof(c_0_54,plain,
! [X76,X77] :
( ~ v2_cat_1(X76)
| ~ l1_cat_1(X76)
| ~ v2_cat_1(X77)
| ~ l1_cat_1(X77)
| m2_cat_1(k8_isocat_2(X76,X77),k11_cat_2(X76,X77),X76) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k8_isocat_2])])]) ).
fof(c_0_55,plain,
! [X167,X168,X169,X170] :
( ~ v2_cat_1(X167)
| ~ l1_cat_1(X167)
| ~ v2_cat_1(X168)
| ~ l1_cat_1(X168)
| ~ v2_cat_1(X169)
| ~ l1_cat_1(X169)
| ~ m2_cat_1(X170,X167,k11_cat_2(X168,X169))
| k11_isocat_2(X167,X168,X169,X170) = k2_isocat_1(X167,k11_cat_2(X168,X169),X168,X170,k8_isocat_2(X168,X169)) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d7_isocat_2])])])]) ).
cnf(c_0_56,negated_conjecture,
( k6_isocat_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk2_0,X1,esk4_0,X2,k8_isocat_2(esk2_0,esk3_0)) = k13_isocat_2(esk1_0,esk2_0,esk3_0,X1,esk4_0,X2)
| ~ m2_nattra_1(X2,esk1_0,k11_cat_2(esk2_0,esk3_0),X1,esk4_0)
| ~ m2_cat_1(X1,esk1_0,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(spm,[status(thm)],[c_0_45,c_0_25]),c_0_31]),c_0_32]),c_0_26]),c_0_33]),c_0_34]),c_0_27])]) ).
fof(c_0_57,plain,
! [X26,X27,X28,X29,X30] :
( ( v1_funct_1(X30)
| ~ m1_nattra_1(X30,X26,X27,X28,X29)
| ~ v2_cat_1(X26)
| ~ l1_cat_1(X26)
| ~ v2_cat_1(X27)
| ~ l1_cat_1(X27)
| ~ m2_cat_1(X28,X26,X27)
| ~ m2_cat_1(X29,X26,X27) )
& ( v1_funct_2(X30,u1_cat_1(X26),u2_cat_1(X27))
| ~ m1_nattra_1(X30,X26,X27,X28,X29)
| ~ v2_cat_1(X26)
| ~ l1_cat_1(X26)
| ~ v2_cat_1(X27)
| ~ l1_cat_1(X27)
| ~ m2_cat_1(X28,X26,X27)
| ~ m2_cat_1(X29,X26,X27) )
& ( m2_relset_1(X30,u1_cat_1(X26),u2_cat_1(X27))
| ~ m1_nattra_1(X30,X26,X27,X28,X29)
| ~ v2_cat_1(X26)
| ~ l1_cat_1(X26)
| ~ v2_cat_1(X27)
| ~ l1_cat_1(X27)
| ~ m2_cat_1(X28,X26,X27)
| ~ m2_cat_1(X29,X26,X27) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m1_nattra_1])])])])]) ).
cnf(c_0_58,plain,
( m1_nattra_1(X5,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)
| ~ m2_nattra_1(X5,X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_59,negated_conjecture,
m2_nattra_1(k7_nattra_1(esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)),esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0),k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_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_24,c_0_47]),c_0_32]),c_0_26]),c_0_34]),c_0_27])]) ).
cnf(c_0_60,negated_conjecture,
m2_nattra_1(k13_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk4_0,k7_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0)),esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0),k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_61,plain,
( k14_isocat_2(X1,X2,X3,X4,X5,X6) = k6_isocat_1(X1,k11_cat_2(X2,X3),X3,X4,X5,X6,k9_isocat_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,k11_cat_2(X2,X3))
| ~ m2_cat_1(X5,X1,k11_cat_2(X2,X3))
| ~ m2_nattra_1(X6,X1,k11_cat_2(X2,X3),X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_62,negated_conjecture,
m2_cat_1(k12_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0),esk1_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(spm,[status(thm)],[c_0_51,c_0_25]),c_0_31]),c_0_32]),c_0_26]),c_0_33]),c_0_34]),c_0_27])]) ).
cnf(c_0_63,negated_conjecture,
( m2_nattra_1(k14_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk4_0,X1),esk1_0,esk3_0,k12_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0),k12_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0))
| ~ m2_nattra_1(X1,esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_52,c_0_25]) ).
fof(c_0_64,plain,
! [X1,X2,X3,X4,X5,X6] :
( ( ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X2)
& ~ v1_xboole_0(X3)
& ~ v1_xboole_0(X4)
& v1_funct_1(X5)
& v1_funct_2(X5,X1,X2)
& m1_relset_1(X5,X1,X2)
& v1_funct_1(X6)
& v1_funct_2(X6,X3,X4)
& m1_relset_1(X6,X3,X4) )
=> ( r4_nattra_1(X1,X2,X3,X4,X5,X6)
=> r4_nattra_1(X1,X2,X3,X4,X6,X5) ) ),
inference(fof_simplification,[status(thm)],[symmetry_r4_nattra_1]) ).
cnf(c_0_65,plain,
( r4_nattra_1(u1_cat_1(X1),u2_cat_1(X3),u1_cat_1(X1),u2_cat_1(X3),k6_isocat_1(X1,X2,X3,X4,X4,k7_nattra_1(X1,X2,X4),X5),k7_nattra_1(X1,X3,k2_isocat_1(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,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_66,plain,
( m2_cat_1(k8_isocat_2(X1,X2),k11_cat_2(X1,X2),X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_67,plain,
( k11_isocat_2(X1,X2,X3,X4) = k2_isocat_1(X1,k11_cat_2(X2,X3),X2,X4,k8_isocat_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,k11_cat_2(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_68,negated_conjecture,
( k6_isocat_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk2_0,esk4_0,esk4_0,X1,k8_isocat_2(esk2_0,esk3_0)) = k13_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk4_0,X1)
| ~ m2_nattra_1(X1,esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_56,c_0_25]) ).
fof(c_0_69,plain,
! [X68,X69,X70] :
( ( ~ m2_relset_1(X70,X68,X69)
| m1_relset_1(X70,X68,X69) )
& ( ~ m1_relset_1(X70,X68,X69)
| m2_relset_1(X70,X68,X69) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])])]) ).
cnf(c_0_70,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_57]) ).
cnf(c_0_71,negated_conjecture,
m1_nattra_1(k7_nattra_1(esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)),esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0),k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_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_58,c_0_59]),c_0_47]),c_0_32]),c_0_26]),c_0_34]),c_0_27])]) ).
cnf(c_0_72,negated_conjecture,
m1_nattra_1(k13_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk4_0,k7_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0)),esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0),k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_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_58,c_0_60]),c_0_47]),c_0_32]),c_0_26]),c_0_34]),c_0_27])]) ).
fof(c_0_73,plain,
! [X78,X79] :
( ~ v2_cat_1(X78)
| ~ l1_cat_1(X78)
| ~ v2_cat_1(X79)
| ~ l1_cat_1(X79)
| m2_cat_1(k9_isocat_2(X78,X79),k11_cat_2(X78,X79),X79) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k9_isocat_2])])]) ).
fof(c_0_74,plain,
! [X171,X172,X173,X174] :
( ~ v2_cat_1(X171)
| ~ l1_cat_1(X171)
| ~ v2_cat_1(X172)
| ~ l1_cat_1(X172)
| ~ v2_cat_1(X173)
| ~ l1_cat_1(X173)
| ~ m2_cat_1(X174,X171,k11_cat_2(X172,X173))
| k12_isocat_2(X171,X172,X173,X174) = k2_isocat_1(X171,k11_cat_2(X172,X173),X173,X174,k9_isocat_2(X172,X173)) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d8_isocat_2])])])]) ).
cnf(c_0_75,negated_conjecture,
( k6_isocat_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk3_0,X1,esk4_0,X2,k9_isocat_2(esk2_0,esk3_0)) = k14_isocat_2(esk1_0,esk2_0,esk3_0,X1,esk4_0,X2)
| ~ m2_nattra_1(X2,esk1_0,k11_cat_2(esk2_0,esk3_0),X1,esk4_0)
| ~ m2_cat_1(X1,esk1_0,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(spm,[status(thm)],[c_0_61,c_0_25]),c_0_31]),c_0_32]),c_0_26]),c_0_33]),c_0_34]),c_0_27])]) ).
cnf(c_0_76,negated_conjecture,
m2_nattra_1(k7_nattra_1(esk1_0,esk3_0,k12_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)),esk1_0,esk3_0,k12_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0),k12_isocat_2(esk1_0,esk2_0,esk3_0,esk4_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_24,c_0_62]),c_0_31]),c_0_26]),c_0_33]),c_0_27])]) ).
cnf(c_0_77,negated_conjecture,
m2_nattra_1(k14_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk4_0,k7_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0)),esk1_0,esk3_0,k12_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0),k12_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)),
inference(spm,[status(thm)],[c_0_63,c_0_49]) ).
fof(c_0_78,plain,
! [X95,X96,X97,X98,X99,X100] :
( v1_xboole_0(X95)
| v1_xboole_0(X96)
| v1_xboole_0(X97)
| v1_xboole_0(X98)
| ~ v1_funct_1(X99)
| ~ v1_funct_2(X99,X95,X96)
| ~ m1_relset_1(X99,X95,X96)
| ~ v1_funct_1(X100)
| ~ v1_funct_2(X100,X97,X98)
| ~ m1_relset_1(X100,X97,X98)
| ~ r4_nattra_1(X95,X96,X97,X98,X99,X100)
| r4_nattra_1(X95,X96,X97,X98,X100,X99) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_64])])]) ).
cnf(c_0_79,plain,
( r4_nattra_1(u1_cat_1(X1),u2_cat_1(X2),u1_cat_1(X1),u2_cat_1(X2),k6_isocat_1(X1,k11_cat_2(X2,X3),X2,X4,X4,k7_nattra_1(X1,k11_cat_2(X2,X3),X4),k8_isocat_2(X2,X3)),k7_nattra_1(X1,X2,k2_isocat_1(X1,k11_cat_2(X2,X3),X2,X4,k8_isocat_2(X2,X3))))
| ~ m2_cat_1(X4,X1,k11_cat_2(X2,X3))
| ~ 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(spm,[status(thm)],[c_0_65,c_0_66]),c_0_42]),c_0_36]) ).
cnf(c_0_80,negated_conjecture,
k2_isocat_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk2_0,esk4_0,k8_isocat_2(esk2_0,esk3_0)) = k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_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_67,c_0_25]),c_0_31]),c_0_32]),c_0_26]),c_0_33]),c_0_34]),c_0_27])]) ).
cnf(c_0_81,negated_conjecture,
k6_isocat_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk2_0,esk4_0,esk4_0,k7_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0),k8_isocat_2(esk2_0,esk3_0)) = k13_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk4_0,k7_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0)),
inference(spm,[status(thm)],[c_0_68,c_0_49]) ).
cnf(c_0_82,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_83,negated_conjecture,
m2_relset_1(k7_nattra_1(esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_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(spm,[status(thm)],[c_0_70,c_0_71]),c_0_47]),c_0_32]),c_0_26]),c_0_34]),c_0_27])]) ).
cnf(c_0_84,negated_conjecture,
m2_relset_1(k13_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk4_0,k7_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_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(spm,[status(thm)],[c_0_70,c_0_72]),c_0_47]),c_0_32]),c_0_26]),c_0_34]),c_0_27])]) ).
cnf(c_0_85,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_57]) ).
cnf(c_0_86,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_57]) ).
cnf(c_0_87,plain,
( m2_cat_1(k9_isocat_2(X1,X2),k11_cat_2(X1,X2),X2)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_88,plain,
( k12_isocat_2(X1,X2,X3,X4) = k2_isocat_1(X1,k11_cat_2(X2,X3),X3,X4,k9_isocat_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,k11_cat_2(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_89,negated_conjecture,
( k6_isocat_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk3_0,esk4_0,esk4_0,X1,k9_isocat_2(esk2_0,esk3_0)) = k14_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk4_0,X1)
| ~ m2_nattra_1(X1,esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_75,c_0_25]) ).
cnf(c_0_90,negated_conjecture,
m1_nattra_1(k7_nattra_1(esk1_0,esk3_0,k12_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)),esk1_0,esk3_0,k12_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0),k12_isocat_2(esk1_0,esk2_0,esk3_0,esk4_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_58,c_0_76]),c_0_62]),c_0_31]),c_0_26]),c_0_33]),c_0_27])]) ).
cnf(c_0_91,negated_conjecture,
m1_nattra_1(k14_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk4_0,k7_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0)),esk1_0,esk3_0,k12_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0),k12_isocat_2(esk1_0,esk2_0,esk3_0,esk4_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_58,c_0_77]),c_0_62]),c_0_31]),c_0_26]),c_0_33]),c_0_27])]) ).
cnf(c_0_92,plain,
( v1_xboole_0(X1)
| v1_xboole_0(X2)
| v1_xboole_0(X3)
| v1_xboole_0(X4)
| r4_nattra_1(X1,X2,X3,X4,X6,X5)
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,X1,X2)
| ~ m1_relset_1(X5,X1,X2)
| ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,X3,X4)
| ~ m1_relset_1(X6,X3,X4)
| ~ r4_nattra_1(X1,X2,X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_93,negated_conjecture,
r4_nattra_1(u1_cat_1(esk1_0),u2_cat_1(esk2_0),u1_cat_1(esk1_0),u2_cat_1(esk2_0),k13_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk4_0,k7_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0)),k7_nattra_1(esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0))),
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(spm,[status(thm)],[c_0_79,c_0_25]),c_0_80]),c_0_32]),c_0_26]),c_0_31]),c_0_34]),c_0_27]),c_0_33])]),c_0_81]) ).
cnf(c_0_94,negated_conjecture,
m1_relset_1(k7_nattra_1(esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)),u1_cat_1(esk1_0),u2_cat_1(esk2_0)),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_95,negated_conjecture,
m1_relset_1(k13_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk4_0,k7_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0)),u1_cat_1(esk1_0),u2_cat_1(esk2_0)),
inference(spm,[status(thm)],[c_0_82,c_0_84]) ).
cnf(c_0_96,negated_conjecture,
v1_funct_2(k7_nattra_1(esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_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(spm,[status(thm)],[c_0_85,c_0_71]),c_0_47]),c_0_32]),c_0_26]),c_0_34]),c_0_27])]) ).
cnf(c_0_97,negated_conjecture,
v1_funct_2(k13_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk4_0,k7_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_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(spm,[status(thm)],[c_0_85,c_0_72]),c_0_47]),c_0_32]),c_0_26]),c_0_34]),c_0_27])]) ).
cnf(c_0_98,negated_conjecture,
v1_funct_1(k7_nattra_1(esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_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_86,c_0_71]),c_0_47]),c_0_32]),c_0_26]),c_0_34]),c_0_27])]) ).
cnf(c_0_99,negated_conjecture,
v1_funct_1(k13_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk4_0,k7_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_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_86,c_0_72]),c_0_47]),c_0_32]),c_0_26]),c_0_34]),c_0_27])]) ).
cnf(c_0_100,plain,
( r4_nattra_1(u1_cat_1(X1),u2_cat_1(X2),u1_cat_1(X1),u2_cat_1(X2),k6_isocat_1(X1,k11_cat_2(X3,X2),X2,X4,X4,k7_nattra_1(X1,k11_cat_2(X3,X2),X4),k9_isocat_2(X3,X2)),k7_nattra_1(X1,X2,k2_isocat_1(X1,k11_cat_2(X3,X2),X2,X4,k9_isocat_2(X3,X2))))
| ~ m2_cat_1(X4,X1,k11_cat_2(X3,X2))
| ~ 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(spm,[status(thm)],[c_0_65,c_0_87]),c_0_42]),c_0_36]) ).
cnf(c_0_101,negated_conjecture,
k2_isocat_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk3_0,esk4_0,k9_isocat_2(esk2_0,esk3_0)) = k12_isocat_2(esk1_0,esk2_0,esk3_0,esk4_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_88,c_0_25]),c_0_31]),c_0_32]),c_0_26]),c_0_33]),c_0_34]),c_0_27])]) ).
cnf(c_0_102,negated_conjecture,
k6_isocat_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk3_0,esk4_0,esk4_0,k7_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0),k9_isocat_2(esk2_0,esk3_0)) = k14_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk4_0,k7_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0)),
inference(spm,[status(thm)],[c_0_89,c_0_49]) ).
cnf(c_0_103,negated_conjecture,
m2_relset_1(k7_nattra_1(esk1_0,esk3_0,k12_isocat_2(esk1_0,esk2_0,esk3_0,esk4_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(spm,[status(thm)],[c_0_70,c_0_90]),c_0_62]),c_0_31]),c_0_26]),c_0_33]),c_0_27])]) ).
cnf(c_0_104,negated_conjecture,
m2_relset_1(k14_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk4_0,k7_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_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(spm,[status(thm)],[c_0_70,c_0_91]),c_0_62]),c_0_31]),c_0_26]),c_0_33]),c_0_27])]) ).
fof(c_0_105,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_106,negated_conjecture,
( ~ r4_nattra_1(u1_cat_1(esk1_0),u2_cat_1(esk2_0),u1_cat_1(esk1_0),u2_cat_1(esk2_0),k7_nattra_1(esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)),k13_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk4_0,k7_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0)))
| ~ r4_nattra_1(u1_cat_1(esk1_0),u2_cat_1(esk3_0),u1_cat_1(esk1_0),u2_cat_1(esk3_0),k7_nattra_1(esk1_0,esk3_0,k12_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)),k14_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk4_0,k7_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0))) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_107,negated_conjecture,
( v1_xboole_0(u1_cat_1(esk1_0))
| v1_xboole_0(u2_cat_1(esk2_0))
| r4_nattra_1(u1_cat_1(esk1_0),u2_cat_1(esk2_0),u1_cat_1(esk1_0),u2_cat_1(esk2_0),k7_nattra_1(esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)),k13_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk4_0,k7_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_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_92,c_0_93]),c_0_94]),c_0_95]),c_0_96]),c_0_97]),c_0_98]),c_0_99])]) ).
cnf(c_0_108,negated_conjecture,
r4_nattra_1(u1_cat_1(esk1_0),u2_cat_1(esk3_0),u1_cat_1(esk1_0),u2_cat_1(esk3_0),k14_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk4_0,k7_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0)),k7_nattra_1(esk1_0,esk3_0,k12_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0))),
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(spm,[status(thm)],[c_0_100,c_0_25]),c_0_101]),c_0_31]),c_0_26]),c_0_32]),c_0_33]),c_0_27]),c_0_34])]),c_0_102]) ).
cnf(c_0_109,negated_conjecture,
m1_relset_1(k7_nattra_1(esk1_0,esk3_0,k12_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)),u1_cat_1(esk1_0),u2_cat_1(esk3_0)),
inference(spm,[status(thm)],[c_0_82,c_0_103]) ).
cnf(c_0_110,negated_conjecture,
m1_relset_1(k14_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk4_0,k7_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0)),u1_cat_1(esk1_0),u2_cat_1(esk3_0)),
inference(spm,[status(thm)],[c_0_82,c_0_104]) ).
cnf(c_0_111,negated_conjecture,
v1_funct_2(k7_nattra_1(esk1_0,esk3_0,k12_isocat_2(esk1_0,esk2_0,esk3_0,esk4_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(spm,[status(thm)],[c_0_85,c_0_90]),c_0_62]),c_0_31]),c_0_26]),c_0_33]),c_0_27])]) ).
cnf(c_0_112,negated_conjecture,
v1_funct_2(k14_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk4_0,k7_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_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(spm,[status(thm)],[c_0_85,c_0_91]),c_0_62]),c_0_31]),c_0_26]),c_0_33]),c_0_27])]) ).
cnf(c_0_113,negated_conjecture,
v1_funct_1(k7_nattra_1(esk1_0,esk3_0,k12_isocat_2(esk1_0,esk2_0,esk3_0,esk4_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_86,c_0_90]),c_0_62]),c_0_31]),c_0_26]),c_0_33]),c_0_27])]) ).
cnf(c_0_114,negated_conjecture,
v1_funct_1(k14_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk4_0,k7_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_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_86,c_0_91]),c_0_62]),c_0_31]),c_0_26]),c_0_33]),c_0_27])]) ).
fof(c_0_115,plain,
! [X1] :
( l1_cat_1(X1)
=> ~ v1_xboole_0(u2_cat_1(X1)) ),
inference(fof_simplification,[status(thm)],[dt_u2_cat_1]) ).
fof(c_0_116,plain,
! [X165] :
( ~ l1_cat_1(X165)
| ~ v1_xboole_0(u1_cat_1(X165)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_105])])]) ).
cnf(c_0_117,negated_conjecture,
( v1_xboole_0(u2_cat_1(esk2_0))
| v1_xboole_0(u1_cat_1(esk1_0))
| ~ r4_nattra_1(u1_cat_1(esk1_0),u2_cat_1(esk3_0),u1_cat_1(esk1_0),u2_cat_1(esk3_0),k7_nattra_1(esk1_0,esk3_0,k12_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)),k14_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk4_0,k7_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0))) ),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_118,negated_conjecture,
( v1_xboole_0(u1_cat_1(esk1_0))
| v1_xboole_0(u2_cat_1(esk3_0))
| r4_nattra_1(u1_cat_1(esk1_0),u2_cat_1(esk3_0),u1_cat_1(esk1_0),u2_cat_1(esk3_0),k7_nattra_1(esk1_0,esk3_0,k12_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0)),k14_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0,esk4_0,k7_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_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_92,c_0_108]),c_0_109]),c_0_110]),c_0_111]),c_0_112]),c_0_113]),c_0_114])]) ).
fof(c_0_119,plain,
! [X166] :
( ~ l1_cat_1(X166)
| ~ v1_xboole_0(u2_cat_1(X166)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_115])])]) ).
cnf(c_0_120,plain,
( ~ l1_cat_1(X1)
| ~ v1_xboole_0(u1_cat_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
cnf(c_0_121,negated_conjecture,
( v1_xboole_0(u2_cat_1(esk3_0))
| v1_xboole_0(u1_cat_1(esk1_0))
| v1_xboole_0(u2_cat_1(esk2_0)) ),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_122,plain,
( ~ l1_cat_1(X1)
| ~ v1_xboole_0(u2_cat_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_123,negated_conjecture,
( v1_xboole_0(u2_cat_1(esk2_0))
| v1_xboole_0(u2_cat_1(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_26])]) ).
cnf(c_0_124,negated_conjecture,
v1_xboole_0(u2_cat_1(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_31])]) ).
cnf(c_0_125,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_124]),c_0_32])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : CAT027+1 : TPTP v8.2.0. Released v3.4.0.
% 0.06/0.11 % Command : run_E %s %d THM
% 0.10/0.32 % Computer : n014.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Sat May 18 11:48:52 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.16/0.43 Running first-order model finding
% 0.16/0.43 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.20/0.95 # Version: 3.1.0
% 4.20/0.95 # Preprocessing class: FSLSSMSSSSSNFFN.
% 4.20/0.95 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.20/0.95 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 4.20/0.95 # Starting new_bool_3 with 300s (1) cores
% 4.20/0.95 # Starting new_bool_1 with 300s (1) cores
% 4.20/0.95 # Starting sh5l with 300s (1) cores
% 4.20/0.95 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 31690 completed with status 0
% 4.20/0.95 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 4.20/0.95 # Preprocessing class: FSLSSMSSSSSNFFN.
% 4.20/0.95 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.20/0.95 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 4.20/0.95 # No SInE strategy applied
% 4.20/0.95 # Search class: FGHSM-FFMM32-MFFFFFNN
% 4.20/0.95 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 4.20/0.95 # Starting G-E--_200_B02_F1_AE_CS_SP_PI_S0Y with 635s (1) cores
% 4.20/0.95 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 4.20/0.95 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04AN with 136s (1) cores
% 4.20/0.95 # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 136s (1) cores
% 4.20/0.95 # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 136s (1) cores
% 4.20/0.95 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 31697 completed with status 0
% 4.20/0.95 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 4.20/0.95 # Preprocessing class: FSLSSMSSSSSNFFN.
% 4.20/0.95 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.20/0.95 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 4.20/0.95 # No SInE strategy applied
% 4.20/0.95 # Search class: FGHSM-FFMM32-MFFFFFNN
% 4.20/0.95 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 4.20/0.95 # Starting G-E--_200_B02_F1_AE_CS_SP_PI_S0Y with 635s (1) cores
% 4.20/0.95 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 4.20/0.95 # Preprocessing time : 0.002 s
% 4.20/0.95 # Presaturation interreduction done
% 4.20/0.95
% 4.20/0.95 # Proof found!
% 4.20/0.95 # SZS status Theorem
% 4.20/0.95 # SZS output start CNFRefutation
% See solution above
% 4.20/0.95 # Parsed axioms : 65
% 4.20/0.95 # Removed by relevancy pruning/SinE : 0
% 4.20/0.95 # Initial clauses : 82
% 4.20/0.95 # Removed in clause preprocessing : 6
% 4.20/0.95 # Initial clauses in saturation : 76
% 4.20/0.95 # Processed clauses : 4352
% 4.20/0.95 # ...of these trivial : 4
% 4.20/0.95 # ...subsumed : 2811
% 4.20/0.95 # ...remaining for further processing : 1537
% 4.20/0.95 # Other redundant clauses eliminated : 1
% 4.20/0.95 # Clauses deleted for lack of memory : 0
% 4.20/0.95 # Backward-subsumed : 31
% 4.20/0.95 # Backward-rewritten : 78
% 4.20/0.95 # Generated clauses : 9768
% 4.20/0.95 # ...of the previous two non-redundant : 9412
% 4.20/0.95 # ...aggressively subsumed : 0
% 4.20/0.95 # Contextual simplify-reflections : 169
% 4.20/0.95 # Paramodulations : 9767
% 4.20/0.95 # Factorizations : 0
% 4.20/0.95 # NegExts : 0
% 4.20/0.95 # Equation resolutions : 1
% 4.20/0.95 # Disequality decompositions : 0
% 4.20/0.95 # Total rewrite steps : 2203
% 4.20/0.95 # ...of those cached : 2063
% 4.20/0.95 # Propositional unsat checks : 0
% 4.20/0.95 # Propositional check models : 0
% 4.20/0.95 # Propositional check unsatisfiable : 0
% 4.20/0.95 # Propositional clauses : 0
% 4.20/0.95 # Propositional clauses after purity: 0
% 4.20/0.95 # Propositional unsat core size : 0
% 4.20/0.95 # Propositional preprocessing time : 0.000
% 4.20/0.95 # Propositional encoding time : 0.000
% 4.20/0.95 # Propositional solver time : 0.000
% 4.20/0.95 # Success case prop preproc time : 0.000
% 4.20/0.95 # Success case prop encoding time : 0.000
% 4.20/0.95 # Success case prop solver time : 0.000
% 4.20/0.95 # Current number of processed clauses : 1351
% 4.20/0.95 # Positive orientable unit clauses : 201
% 4.20/0.95 # Positive unorientable unit clauses: 0
% 4.20/0.95 # Negative unit clauses : 19
% 4.20/0.95 # Non-unit-clauses : 1131
% 4.20/0.95 # Current number of unprocessed clauses: 5106
% 4.20/0.95 # ...number of literals in the above : 29941
% 4.20/0.95 # Current number of archived formulas : 0
% 4.20/0.95 # Current number of archived clauses : 185
% 4.20/0.95 # Clause-clause subsumption calls (NU) : 282978
% 4.20/0.95 # Rec. Clause-clause subsumption calls : 106881
% 4.20/0.95 # Non-unit clause-clause subsumptions : 2532
% 4.20/0.95 # Unit Clause-clause subsumption calls : 4647
% 4.20/0.95 # Rewrite failures with RHS unbound : 0
% 4.20/0.95 # BW rewrite match attempts : 124
% 4.20/0.95 # BW rewrite match successes : 19
% 4.20/0.95 # Condensation attempts : 0
% 4.20/0.95 # Condensation successes : 0
% 4.20/0.95 # Termbank termtop insertions : 229209
% 4.20/0.95 # Search garbage collected termcells : 1852
% 4.20/0.95
% 4.20/0.95 # -------------------------------------------------
% 4.20/0.95 # User time : 0.486 s
% 4.20/0.95 # System time : 0.012 s
% 4.20/0.95 # Total time : 0.498 s
% 4.20/0.95 # Maximum resident set size: 2112 pages
% 4.20/0.95
% 4.20/0.95 # -------------------------------------------------
% 4.20/0.95 # User time : 2.426 s
% 4.20/0.95 # System time : 0.050 s
% 4.20/0.95 # Total time : 2.476 s
% 4.20/0.95 # Maximum resident set size: 1776 pages
% 4.20/0.95 % E---3.1 exiting
%------------------------------------------------------------------------------