TSTP Solution File: CAT028+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : CAT028+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n006.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 : Fri May 3 02:09:10 EDT 2024
% Result : Theorem 70.48s 10.26s
% Output : CNFRefutation 70.48s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( l1_cat_1(X0)
& v2_cat_1(X0) )
=> ! [X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1) )
=> ! [X2] :
( ( l1_cat_1(X2)
& v2_cat_1(X2) )
=> ! [X3] :
( m2_cat_1(X3,X0,k11_cat_2(X1,X2))
=> ! [X4] :
( m2_cat_1(X4,X0,k11_cat_2(X1,X2))
=> ! [X5] :
( m2_cat_1(X5,X0,k11_cat_2(X1,X2))
=> ( ( r2_nattra_1(X0,k11_cat_2(X1,X2),X4,X5)
& r2_nattra_1(X0,k11_cat_2(X1,X2),X3,X4) )
=> ! [X6] :
( m2_nattra_1(X6,X0,k11_cat_2(X1,X2),X3,X4)
=> ! [X7] :
( m2_nattra_1(X7,X0,k11_cat_2(X1,X2),X4,X5)
=> ( r4_nattra_1(u1_cat_1(X0),u2_cat_1(X2),u1_cat_1(X0),u2_cat_1(X2),k14_isocat_2(X0,X1,X2,X3,X5,k8_nattra_1(X0,k11_cat_2(X1,X2),X3,X4,X5,X6,X7)),k8_nattra_1(X0,X2,k12_isocat_2(X0,X1,X2,X3),k12_isocat_2(X0,X1,X2,X4),k12_isocat_2(X0,X1,X2,X5),k14_isocat_2(X0,X1,X2,X3,X4,X6),k14_isocat_2(X0,X1,X2,X4,X5,X7)))
& r4_nattra_1(u1_cat_1(X0),u2_cat_1(X1),u1_cat_1(X0),u2_cat_1(X1),k13_isocat_2(X0,X1,X2,X3,X5,k8_nattra_1(X0,k11_cat_2(X1,X2),X3,X4,X5,X6,X7)),k8_nattra_1(X0,X1,k11_isocat_2(X0,X1,X2,X3),k11_isocat_2(X0,X1,X2,X4),k11_isocat_2(X0,X1,X2,X5),k13_isocat_2(X0,X1,X2,X3,X4,X6),k13_isocat_2(X0,X1,X2,X4,X5,X7))) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t41_isocat_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l1_cat_1(X0)
& v2_cat_1(X0) )
=> ! [X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1) )
=> ! [X2] :
( ( l1_cat_1(X2)
& v2_cat_1(X2) )
=> ! [X3] :
( m2_cat_1(X3,X0,k11_cat_2(X1,X2))
=> ! [X4] :
( m2_cat_1(X4,X0,k11_cat_2(X1,X2))
=> ! [X5] :
( m2_cat_1(X5,X0,k11_cat_2(X1,X2))
=> ( ( r2_nattra_1(X0,k11_cat_2(X1,X2),X4,X5)
& r2_nattra_1(X0,k11_cat_2(X1,X2),X3,X4) )
=> ! [X6] :
( m2_nattra_1(X6,X0,k11_cat_2(X1,X2),X3,X4)
=> ! [X7] :
( m2_nattra_1(X7,X0,k11_cat_2(X1,X2),X4,X5)
=> ( r4_nattra_1(u1_cat_1(X0),u2_cat_1(X2),u1_cat_1(X0),u2_cat_1(X2),k14_isocat_2(X0,X1,X2,X3,X5,k8_nattra_1(X0,k11_cat_2(X1,X2),X3,X4,X5,X6,X7)),k8_nattra_1(X0,X2,k12_isocat_2(X0,X1,X2,X3),k12_isocat_2(X0,X1,X2,X4),k12_isocat_2(X0,X1,X2,X5),k14_isocat_2(X0,X1,X2,X3,X4,X6),k14_isocat_2(X0,X1,X2,X4,X5,X7)))
& r4_nattra_1(u1_cat_1(X0),u2_cat_1(X1),u1_cat_1(X0),u2_cat_1(X1),k13_isocat_2(X0,X1,X2,X3,X5,k8_nattra_1(X0,k11_cat_2(X1,X2),X3,X4,X5,X6,X7)),k8_nattra_1(X0,X1,k11_isocat_2(X0,X1,X2,X3),k11_isocat_2(X0,X1,X2,X4),k11_isocat_2(X0,X1,X2,X5),k13_isocat_2(X0,X1,X2,X3,X4,X6),k13_isocat_2(X0,X1,X2,X4,X5,X7))) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f30,axiom,
! [X0,X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1)
& l1_cat_1(X0)
& v2_cat_1(X0) )
=> m2_cat_1(k8_isocat_2(X0,X1),k11_cat_2(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_isocat_2) ).
fof(f31,axiom,
! [X0,X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1)
& l1_cat_1(X0)
& v2_cat_1(X0) )
=> m2_cat_1(k9_isocat_2(X0,X1),k11_cat_2(X0,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k9_isocat_2) ).
fof(f46,axiom,
! [X0,X1,X2,X3,X4] :
( ( m2_cat_1(X4,X1,X2)
& m2_cat_1(X3,X0,X1)
& l1_cat_1(X2)
& v2_cat_1(X2)
& l1_cat_1(X1)
& v2_cat_1(X1)
& l1_cat_1(X0)
& v2_cat_1(X0) )
=> k2_isocat_1(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k2_isocat_1) ).
fof(f48,axiom,
! [X0,X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1)
& l1_cat_1(X0)
& v2_cat_1(X0) )
=> ( l1_cat_1(k11_cat_2(X0,X1))
& v2_cat_1(k11_cat_2(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k11_cat_2) ).
fof(f55,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( m2_nattra_1(X6,X0,X1,X3,X4)
& m2_nattra_1(X5,X0,X1,X2,X3)
& m2_cat_1(X4,X0,X1)
& m2_cat_1(X3,X0,X1)
& m2_cat_1(X2,X0,X1)
& l1_cat_1(X1)
& v2_cat_1(X1)
& l1_cat_1(X0)
& v2_cat_1(X0) )
=> m2_nattra_1(k8_nattra_1(X0,X1,X2,X3,X4,X5,X6),X0,X1,X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_nattra_1) ).
fof(f61,axiom,
! [X0] :
( ( l1_cat_1(X0)
& v2_cat_1(X0) )
=> ! [X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1) )
=> ! [X2] :
( ( l1_cat_1(X2)
& v2_cat_1(X2) )
=> ! [X3] :
( m2_cat_1(X3,X0,k11_cat_2(X1,X2))
=> k11_isocat_2(X0,X1,X2,X3) = k2_isocat_1(X0,k11_cat_2(X1,X2),X1,X3,k8_isocat_2(X1,X2)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d7_isocat_2) ).
fof(f62,axiom,
! [X0] :
( ( l1_cat_1(X0)
& v2_cat_1(X0) )
=> ! [X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1) )
=> ! [X2] :
( ( l1_cat_1(X2)
& v2_cat_1(X2) )
=> ! [X3] :
( m2_cat_1(X3,X0,k11_cat_2(X1,X2))
=> k12_isocat_2(X0,X1,X2,X3) = k2_isocat_1(X0,k11_cat_2(X1,X2),X2,X3,k9_isocat_2(X1,X2)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_isocat_2) ).
fof(f63,axiom,
! [X0] :
( ( l1_cat_1(X0)
& v2_cat_1(X0) )
=> ! [X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1) )
=> ! [X2] :
( ( l1_cat_1(X2)
& v2_cat_1(X2) )
=> ! [X3] :
( m2_cat_1(X3,X0,k11_cat_2(X1,X2))
=> ! [X4] :
( m2_cat_1(X4,X0,k11_cat_2(X1,X2))
=> ! [X5] :
( m2_nattra_1(X5,X0,k11_cat_2(X1,X2),X3,X4)
=> k13_isocat_2(X0,X1,X2,X3,X4,X5) = k6_isocat_1(X0,k11_cat_2(X1,X2),X1,X3,X4,X5,k8_isocat_2(X1,X2)) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9_isocat_2) ).
fof(f64,axiom,
! [X0] :
( ( l1_cat_1(X0)
& v2_cat_1(X0) )
=> ! [X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1) )
=> ! [X2] :
( ( l1_cat_1(X2)
& v2_cat_1(X2) )
=> ! [X3] :
( m2_cat_1(X3,X0,k11_cat_2(X1,X2))
=> ! [X4] :
( m2_cat_1(X4,X0,k11_cat_2(X1,X2))
=> ! [X5] :
( m2_nattra_1(X5,X0,k11_cat_2(X1,X2),X3,X4)
=> k14_isocat_2(X0,X1,X2,X3,X4,X5) = k6_isocat_1(X0,k11_cat_2(X1,X2),X2,X3,X4,X5,k9_isocat_2(X1,X2)) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_isocat_2) ).
fof(f65,axiom,
! [X0] :
( ( l1_cat_1(X0)
& v2_cat_1(X0) )
=> ! [X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1) )
=> ! [X2] :
( ( l1_cat_1(X2)
& v2_cat_1(X2) )
=> ! [X3] :
( m2_cat_1(X3,X1,X2)
=> ! [X4] :
( m2_cat_1(X4,X1,X2)
=> ! [X5] :
( m2_cat_1(X5,X1,X2)
=> ! [X6] :
( m2_cat_1(X6,X2,X0)
=> ! [X7] :
( m2_nattra_1(X7,X1,X2,X3,X4)
=> ! [X8] :
( m2_nattra_1(X8,X1,X2,X4,X5)
=> ( ( r2_nattra_1(X1,X2,X4,X5)
& r2_nattra_1(X1,X2,X3,X4) )
=> r4_nattra_1(u1_cat_1(X1),u2_cat_1(X0),u1_cat_1(X1),u2_cat_1(X0),k6_isocat_1(X1,X2,X0,X3,X5,k8_nattra_1(X1,X2,X3,X4,X5,X7,X8),X6),k8_nattra_1(X1,X0,k2_isocat_1(X1,X2,X0,X3,X6),k2_isocat_1(X1,X2,X0,X4,X6),k2_isocat_1(X1,X2,X0,X5,X6),k6_isocat_1(X1,X2,X0,X3,X4,X7,X6),k6_isocat_1(X1,X2,X0,X4,X5,X8,X6))) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t32_isocat_1) ).
fof(f68,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ( ~ r4_nattra_1(u1_cat_1(X0),u2_cat_1(X2),u1_cat_1(X0),u2_cat_1(X2),k14_isocat_2(X0,X1,X2,X3,X5,k8_nattra_1(X0,k11_cat_2(X1,X2),X3,X4,X5,X6,X7)),k8_nattra_1(X0,X2,k12_isocat_2(X0,X1,X2,X3),k12_isocat_2(X0,X1,X2,X4),k12_isocat_2(X0,X1,X2,X5),k14_isocat_2(X0,X1,X2,X3,X4,X6),k14_isocat_2(X0,X1,X2,X4,X5,X7)))
| ~ r4_nattra_1(u1_cat_1(X0),u2_cat_1(X1),u1_cat_1(X0),u2_cat_1(X1),k13_isocat_2(X0,X1,X2,X3,X5,k8_nattra_1(X0,k11_cat_2(X1,X2),X3,X4,X5,X6,X7)),k8_nattra_1(X0,X1,k11_isocat_2(X0,X1,X2,X3),k11_isocat_2(X0,X1,X2,X4),k11_isocat_2(X0,X1,X2,X5),k13_isocat_2(X0,X1,X2,X3,X4,X6),k13_isocat_2(X0,X1,X2,X4,X5,X7))) )
& m2_nattra_1(X7,X0,k11_cat_2(X1,X2),X4,X5) )
& m2_nattra_1(X6,X0,k11_cat_2(X1,X2),X3,X4) )
& r2_nattra_1(X0,k11_cat_2(X1,X2),X4,X5)
& r2_nattra_1(X0,k11_cat_2(X1,X2),X3,X4)
& m2_cat_1(X5,X0,k11_cat_2(X1,X2)) )
& m2_cat_1(X4,X0,k11_cat_2(X1,X2)) )
& m2_cat_1(X3,X0,k11_cat_2(X1,X2)) )
& l1_cat_1(X2)
& v2_cat_1(X2) )
& l1_cat_1(X1)
& v2_cat_1(X1) )
& l1_cat_1(X0)
& v2_cat_1(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f69,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ( ~ r4_nattra_1(u1_cat_1(X0),u2_cat_1(X2),u1_cat_1(X0),u2_cat_1(X2),k14_isocat_2(X0,X1,X2,X3,X5,k8_nattra_1(X0,k11_cat_2(X1,X2),X3,X4,X5,X6,X7)),k8_nattra_1(X0,X2,k12_isocat_2(X0,X1,X2,X3),k12_isocat_2(X0,X1,X2,X4),k12_isocat_2(X0,X1,X2,X5),k14_isocat_2(X0,X1,X2,X3,X4,X6),k14_isocat_2(X0,X1,X2,X4,X5,X7)))
| ~ r4_nattra_1(u1_cat_1(X0),u2_cat_1(X1),u1_cat_1(X0),u2_cat_1(X1),k13_isocat_2(X0,X1,X2,X3,X5,k8_nattra_1(X0,k11_cat_2(X1,X2),X3,X4,X5,X6,X7)),k8_nattra_1(X0,X1,k11_isocat_2(X0,X1,X2,X3),k11_isocat_2(X0,X1,X2,X4),k11_isocat_2(X0,X1,X2,X5),k13_isocat_2(X0,X1,X2,X3,X4,X6),k13_isocat_2(X0,X1,X2,X4,X5,X7))) )
& m2_nattra_1(X7,X0,k11_cat_2(X1,X2),X4,X5) )
& m2_nattra_1(X6,X0,k11_cat_2(X1,X2),X3,X4) )
& r2_nattra_1(X0,k11_cat_2(X1,X2),X4,X5)
& r2_nattra_1(X0,k11_cat_2(X1,X2),X3,X4)
& m2_cat_1(X5,X0,k11_cat_2(X1,X2)) )
& m2_cat_1(X4,X0,k11_cat_2(X1,X2)) )
& m2_cat_1(X3,X0,k11_cat_2(X1,X2)) )
& l1_cat_1(X2)
& v2_cat_1(X2) )
& l1_cat_1(X1)
& v2_cat_1(X1) )
& l1_cat_1(X0)
& v2_cat_1(X0) ),
inference(flattening,[],[f68]) ).
fof(f94,plain,
! [X0,X1] :
( m2_cat_1(k8_isocat_2(X0,X1),k11_cat_2(X0,X1),X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f95,plain,
! [X0,X1] :
( m2_cat_1(k8_isocat_2(X0,X1),k11_cat_2(X0,X1),X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(flattening,[],[f94]) ).
fof(f96,plain,
! [X0,X1] :
( m2_cat_1(k9_isocat_2(X0,X1),k11_cat_2(X0,X1),X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f97,plain,
! [X0,X1] :
( m2_cat_1(k9_isocat_2(X0,X1),k11_cat_2(X0,X1),X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(flattening,[],[f96]) ).
fof(f114,plain,
! [X0,X1,X2,X3,X4] :
( k2_isocat_1(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| ~ m2_cat_1(X4,X1,X2)
| ~ m2_cat_1(X3,X0,X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f115,plain,
! [X0,X1,X2,X3,X4] :
( k2_isocat_1(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| ~ m2_cat_1(X4,X1,X2)
| ~ m2_cat_1(X3,X0,X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(flattening,[],[f114]) ).
fof(f118,plain,
! [X0,X1] :
( ( l1_cat_1(k11_cat_2(X0,X1))
& v2_cat_1(k11_cat_2(X0,X1)) )
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(ennf_transformation,[],[f48]) ).
fof(f119,plain,
! [X0,X1] :
( ( l1_cat_1(k11_cat_2(X0,X1))
& v2_cat_1(k11_cat_2(X0,X1)) )
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(flattening,[],[f118]) ).
fof(f132,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( m2_nattra_1(k8_nattra_1(X0,X1,X2,X3,X4,X5,X6),X0,X1,X2,X4)
| ~ m2_nattra_1(X6,X0,X1,X3,X4)
| ~ m2_nattra_1(X5,X0,X1,X2,X3)
| ~ m2_cat_1(X4,X0,X1)
| ~ m2_cat_1(X3,X0,X1)
| ~ m2_cat_1(X2,X0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f133,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( m2_nattra_1(k8_nattra_1(X0,X1,X2,X3,X4,X5,X6),X0,X1,X2,X4)
| ~ m2_nattra_1(X6,X0,X1,X3,X4)
| ~ m2_nattra_1(X5,X0,X1,X2,X3)
| ~ m2_cat_1(X4,X0,X1)
| ~ m2_cat_1(X3,X0,X1)
| ~ m2_cat_1(X2,X0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(flattening,[],[f132]) ).
fof(f140,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( k11_isocat_2(X0,X1,X2,X3) = k2_isocat_1(X0,k11_cat_2(X1,X2),X1,X3,k8_isocat_2(X1,X2))
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2)) )
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(ennf_transformation,[],[f61]) ).
fof(f141,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( k11_isocat_2(X0,X1,X2,X3) = k2_isocat_1(X0,k11_cat_2(X1,X2),X1,X3,k8_isocat_2(X1,X2))
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2)) )
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(flattening,[],[f140]) ).
fof(f142,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( k12_isocat_2(X0,X1,X2,X3) = k2_isocat_1(X0,k11_cat_2(X1,X2),X2,X3,k9_isocat_2(X1,X2))
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2)) )
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(ennf_transformation,[],[f62]) ).
fof(f143,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( k12_isocat_2(X0,X1,X2,X3) = k2_isocat_1(X0,k11_cat_2(X1,X2),X2,X3,k9_isocat_2(X1,X2))
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2)) )
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(flattening,[],[f142]) ).
fof(f144,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( k13_isocat_2(X0,X1,X2,X3,X4,X5) = k6_isocat_1(X0,k11_cat_2(X1,X2),X1,X3,X4,X5,k8_isocat_2(X1,X2))
| ~ m2_nattra_1(X5,X0,k11_cat_2(X1,X2),X3,X4) )
| ~ m2_cat_1(X4,X0,k11_cat_2(X1,X2)) )
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2)) )
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(ennf_transformation,[],[f63]) ).
fof(f145,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( k13_isocat_2(X0,X1,X2,X3,X4,X5) = k6_isocat_1(X0,k11_cat_2(X1,X2),X1,X3,X4,X5,k8_isocat_2(X1,X2))
| ~ m2_nattra_1(X5,X0,k11_cat_2(X1,X2),X3,X4) )
| ~ m2_cat_1(X4,X0,k11_cat_2(X1,X2)) )
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2)) )
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(flattening,[],[f144]) ).
fof(f146,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( k14_isocat_2(X0,X1,X2,X3,X4,X5) = k6_isocat_1(X0,k11_cat_2(X1,X2),X2,X3,X4,X5,k9_isocat_2(X1,X2))
| ~ m2_nattra_1(X5,X0,k11_cat_2(X1,X2),X3,X4) )
| ~ m2_cat_1(X4,X0,k11_cat_2(X1,X2)) )
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2)) )
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(ennf_transformation,[],[f64]) ).
fof(f147,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( k14_isocat_2(X0,X1,X2,X3,X4,X5) = k6_isocat_1(X0,k11_cat_2(X1,X2),X2,X3,X4,X5,k9_isocat_2(X1,X2))
| ~ m2_nattra_1(X5,X0,k11_cat_2(X1,X2),X3,X4) )
| ~ m2_cat_1(X4,X0,k11_cat_2(X1,X2)) )
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2)) )
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(flattening,[],[f146]) ).
fof(f148,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( r4_nattra_1(u1_cat_1(X1),u2_cat_1(X0),u1_cat_1(X1),u2_cat_1(X0),k6_isocat_1(X1,X2,X0,X3,X5,k8_nattra_1(X1,X2,X3,X4,X5,X7,X8),X6),k8_nattra_1(X1,X0,k2_isocat_1(X1,X2,X0,X3,X6),k2_isocat_1(X1,X2,X0,X4,X6),k2_isocat_1(X1,X2,X0,X5,X6),k6_isocat_1(X1,X2,X0,X3,X4,X7,X6),k6_isocat_1(X1,X2,X0,X4,X5,X8,X6)))
| ~ r2_nattra_1(X1,X2,X4,X5)
| ~ r2_nattra_1(X1,X2,X3,X4)
| ~ m2_nattra_1(X8,X1,X2,X4,X5) )
| ~ m2_nattra_1(X7,X1,X2,X3,X4) )
| ~ m2_cat_1(X6,X2,X0) )
| ~ m2_cat_1(X5,X1,X2) )
| ~ m2_cat_1(X4,X1,X2) )
| ~ m2_cat_1(X3,X1,X2) )
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(ennf_transformation,[],[f65]) ).
fof(f149,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( r4_nattra_1(u1_cat_1(X1),u2_cat_1(X0),u1_cat_1(X1),u2_cat_1(X0),k6_isocat_1(X1,X2,X0,X3,X5,k8_nattra_1(X1,X2,X3,X4,X5,X7,X8),X6),k8_nattra_1(X1,X0,k2_isocat_1(X1,X2,X0,X3,X6),k2_isocat_1(X1,X2,X0,X4,X6),k2_isocat_1(X1,X2,X0,X5,X6),k6_isocat_1(X1,X2,X0,X3,X4,X7,X6),k6_isocat_1(X1,X2,X0,X4,X5,X8,X6)))
| ~ r2_nattra_1(X1,X2,X4,X5)
| ~ r2_nattra_1(X1,X2,X3,X4)
| ~ m2_nattra_1(X8,X1,X2,X4,X5) )
| ~ m2_nattra_1(X7,X1,X2,X3,X4) )
| ~ m2_cat_1(X6,X2,X0) )
| ~ m2_cat_1(X5,X1,X2) )
| ~ m2_cat_1(X4,X1,X2) )
| ~ m2_cat_1(X3,X1,X2) )
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(flattening,[],[f148]) ).
fof(f150,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ( ~ r4_nattra_1(u1_cat_1(X0),u2_cat_1(X2),u1_cat_1(X0),u2_cat_1(X2),k14_isocat_2(X0,X1,X2,X3,X5,k8_nattra_1(X0,k11_cat_2(X1,X2),X3,X4,X5,X6,X7)),k8_nattra_1(X0,X2,k12_isocat_2(X0,X1,X2,X3),k12_isocat_2(X0,X1,X2,X4),k12_isocat_2(X0,X1,X2,X5),k14_isocat_2(X0,X1,X2,X3,X4,X6),k14_isocat_2(X0,X1,X2,X4,X5,X7)))
| ~ r4_nattra_1(u1_cat_1(X0),u2_cat_1(X1),u1_cat_1(X0),u2_cat_1(X1),k13_isocat_2(X0,X1,X2,X3,X5,k8_nattra_1(X0,k11_cat_2(X1,X2),X3,X4,X5,X6,X7)),k8_nattra_1(X0,X1,k11_isocat_2(X0,X1,X2,X3),k11_isocat_2(X0,X1,X2,X4),k11_isocat_2(X0,X1,X2,X5),k13_isocat_2(X0,X1,X2,X3,X4,X6),k13_isocat_2(X0,X1,X2,X4,X5,X7))) )
& m2_nattra_1(X7,X0,k11_cat_2(X1,X2),X4,X5) )
& m2_nattra_1(X6,X0,k11_cat_2(X1,X2),X3,X4) )
& r2_nattra_1(X0,k11_cat_2(X1,X2),X4,X5)
& r2_nattra_1(X0,k11_cat_2(X1,X2),X3,X4)
& m2_cat_1(X5,X0,k11_cat_2(X1,X2)) )
& m2_cat_1(X4,X0,k11_cat_2(X1,X2)) )
& m2_cat_1(X3,X0,k11_cat_2(X1,X2)) )
& l1_cat_1(X2)
& v2_cat_1(X2) )
& l1_cat_1(X1)
& v2_cat_1(X1) )
& l1_cat_1(X0)
& v2_cat_1(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ( ~ r4_nattra_1(u1_cat_1(sK0),u2_cat_1(X2),u1_cat_1(sK0),u2_cat_1(X2),k14_isocat_2(sK0,X1,X2,X3,X5,k8_nattra_1(sK0,k11_cat_2(X1,X2),X3,X4,X5,X6,X7)),k8_nattra_1(sK0,X2,k12_isocat_2(sK0,X1,X2,X3),k12_isocat_2(sK0,X1,X2,X4),k12_isocat_2(sK0,X1,X2,X5),k14_isocat_2(sK0,X1,X2,X3,X4,X6),k14_isocat_2(sK0,X1,X2,X4,X5,X7)))
| ~ r4_nattra_1(u1_cat_1(sK0),u2_cat_1(X1),u1_cat_1(sK0),u2_cat_1(X1),k13_isocat_2(sK0,X1,X2,X3,X5,k8_nattra_1(sK0,k11_cat_2(X1,X2),X3,X4,X5,X6,X7)),k8_nattra_1(sK0,X1,k11_isocat_2(sK0,X1,X2,X3),k11_isocat_2(sK0,X1,X2,X4),k11_isocat_2(sK0,X1,X2,X5),k13_isocat_2(sK0,X1,X2,X3,X4,X6),k13_isocat_2(sK0,X1,X2,X4,X5,X7))) )
& m2_nattra_1(X7,sK0,k11_cat_2(X1,X2),X4,X5) )
& m2_nattra_1(X6,sK0,k11_cat_2(X1,X2),X3,X4) )
& r2_nattra_1(sK0,k11_cat_2(X1,X2),X4,X5)
& r2_nattra_1(sK0,k11_cat_2(X1,X2),X3,X4)
& m2_cat_1(X5,sK0,k11_cat_2(X1,X2)) )
& m2_cat_1(X4,sK0,k11_cat_2(X1,X2)) )
& m2_cat_1(X3,sK0,k11_cat_2(X1,X2)) )
& l1_cat_1(X2)
& v2_cat_1(X2) )
& l1_cat_1(X1)
& v2_cat_1(X1) )
& l1_cat_1(sK0)
& v2_cat_1(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f151,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ( ~ r4_nattra_1(u1_cat_1(sK0),u2_cat_1(X2),u1_cat_1(sK0),u2_cat_1(X2),k14_isocat_2(sK0,X1,X2,X3,X5,k8_nattra_1(sK0,k11_cat_2(X1,X2),X3,X4,X5,X6,X7)),k8_nattra_1(sK0,X2,k12_isocat_2(sK0,X1,X2,X3),k12_isocat_2(sK0,X1,X2,X4),k12_isocat_2(sK0,X1,X2,X5),k14_isocat_2(sK0,X1,X2,X3,X4,X6),k14_isocat_2(sK0,X1,X2,X4,X5,X7)))
| ~ r4_nattra_1(u1_cat_1(sK0),u2_cat_1(X1),u1_cat_1(sK0),u2_cat_1(X1),k13_isocat_2(sK0,X1,X2,X3,X5,k8_nattra_1(sK0,k11_cat_2(X1,X2),X3,X4,X5,X6,X7)),k8_nattra_1(sK0,X1,k11_isocat_2(sK0,X1,X2,X3),k11_isocat_2(sK0,X1,X2,X4),k11_isocat_2(sK0,X1,X2,X5),k13_isocat_2(sK0,X1,X2,X3,X4,X6),k13_isocat_2(sK0,X1,X2,X4,X5,X7))) )
& m2_nattra_1(X7,sK0,k11_cat_2(X1,X2),X4,X5) )
& m2_nattra_1(X6,sK0,k11_cat_2(X1,X2),X3,X4) )
& r2_nattra_1(sK0,k11_cat_2(X1,X2),X4,X5)
& r2_nattra_1(sK0,k11_cat_2(X1,X2),X3,X4)
& m2_cat_1(X5,sK0,k11_cat_2(X1,X2)) )
& m2_cat_1(X4,sK0,k11_cat_2(X1,X2)) )
& m2_cat_1(X3,sK0,k11_cat_2(X1,X2)) )
& l1_cat_1(X2)
& v2_cat_1(X2) )
& l1_cat_1(X1)
& v2_cat_1(X1) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ( ~ r4_nattra_1(u1_cat_1(sK0),u2_cat_1(X2),u1_cat_1(sK0),u2_cat_1(X2),k14_isocat_2(sK0,sK1,X2,X3,X5,k8_nattra_1(sK0,k11_cat_2(sK1,X2),X3,X4,X5,X6,X7)),k8_nattra_1(sK0,X2,k12_isocat_2(sK0,sK1,X2,X3),k12_isocat_2(sK0,sK1,X2,X4),k12_isocat_2(sK0,sK1,X2,X5),k14_isocat_2(sK0,sK1,X2,X3,X4,X6),k14_isocat_2(sK0,sK1,X2,X4,X5,X7)))
| ~ r4_nattra_1(u1_cat_1(sK0),u2_cat_1(sK1),u1_cat_1(sK0),u2_cat_1(sK1),k13_isocat_2(sK0,sK1,X2,X3,X5,k8_nattra_1(sK0,k11_cat_2(sK1,X2),X3,X4,X5,X6,X7)),k8_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,X2,X3),k11_isocat_2(sK0,sK1,X2,X4),k11_isocat_2(sK0,sK1,X2,X5),k13_isocat_2(sK0,sK1,X2,X3,X4,X6),k13_isocat_2(sK0,sK1,X2,X4,X5,X7))) )
& m2_nattra_1(X7,sK0,k11_cat_2(sK1,X2),X4,X5) )
& m2_nattra_1(X6,sK0,k11_cat_2(sK1,X2),X3,X4) )
& r2_nattra_1(sK0,k11_cat_2(sK1,X2),X4,X5)
& r2_nattra_1(sK0,k11_cat_2(sK1,X2),X3,X4)
& m2_cat_1(X5,sK0,k11_cat_2(sK1,X2)) )
& m2_cat_1(X4,sK0,k11_cat_2(sK1,X2)) )
& m2_cat_1(X3,sK0,k11_cat_2(sK1,X2)) )
& l1_cat_1(X2)
& v2_cat_1(X2) )
& l1_cat_1(sK1)
& v2_cat_1(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f152,plain,
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ( ~ r4_nattra_1(u1_cat_1(sK0),u2_cat_1(X2),u1_cat_1(sK0),u2_cat_1(X2),k14_isocat_2(sK0,sK1,X2,X3,X5,k8_nattra_1(sK0,k11_cat_2(sK1,X2),X3,X4,X5,X6,X7)),k8_nattra_1(sK0,X2,k12_isocat_2(sK0,sK1,X2,X3),k12_isocat_2(sK0,sK1,X2,X4),k12_isocat_2(sK0,sK1,X2,X5),k14_isocat_2(sK0,sK1,X2,X3,X4,X6),k14_isocat_2(sK0,sK1,X2,X4,X5,X7)))
| ~ r4_nattra_1(u1_cat_1(sK0),u2_cat_1(sK1),u1_cat_1(sK0),u2_cat_1(sK1),k13_isocat_2(sK0,sK1,X2,X3,X5,k8_nattra_1(sK0,k11_cat_2(sK1,X2),X3,X4,X5,X6,X7)),k8_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,X2,X3),k11_isocat_2(sK0,sK1,X2,X4),k11_isocat_2(sK0,sK1,X2,X5),k13_isocat_2(sK0,sK1,X2,X3,X4,X6),k13_isocat_2(sK0,sK1,X2,X4,X5,X7))) )
& m2_nattra_1(X7,sK0,k11_cat_2(sK1,X2),X4,X5) )
& m2_nattra_1(X6,sK0,k11_cat_2(sK1,X2),X3,X4) )
& r2_nattra_1(sK0,k11_cat_2(sK1,X2),X4,X5)
& r2_nattra_1(sK0,k11_cat_2(sK1,X2),X3,X4)
& m2_cat_1(X5,sK0,k11_cat_2(sK1,X2)) )
& m2_cat_1(X4,sK0,k11_cat_2(sK1,X2)) )
& m2_cat_1(X3,sK0,k11_cat_2(sK1,X2)) )
& l1_cat_1(X2)
& v2_cat_1(X2) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ( ~ r4_nattra_1(u1_cat_1(sK0),u2_cat_1(sK2),u1_cat_1(sK0),u2_cat_1(sK2),k14_isocat_2(sK0,sK1,sK2,X3,X5,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),X3,X4,X5,X6,X7)),k8_nattra_1(sK0,sK2,k12_isocat_2(sK0,sK1,sK2,X3),k12_isocat_2(sK0,sK1,sK2,X4),k12_isocat_2(sK0,sK1,sK2,X5),k14_isocat_2(sK0,sK1,sK2,X3,X4,X6),k14_isocat_2(sK0,sK1,sK2,X4,X5,X7)))
| ~ r4_nattra_1(u1_cat_1(sK0),u2_cat_1(sK1),u1_cat_1(sK0),u2_cat_1(sK1),k13_isocat_2(sK0,sK1,sK2,X3,X5,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),X3,X4,X5,X6,X7)),k8_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,X3),k11_isocat_2(sK0,sK1,sK2,X4),k11_isocat_2(sK0,sK1,sK2,X5),k13_isocat_2(sK0,sK1,sK2,X3,X4,X6),k13_isocat_2(sK0,sK1,sK2,X4,X5,X7))) )
& m2_nattra_1(X7,sK0,k11_cat_2(sK1,sK2),X4,X5) )
& m2_nattra_1(X6,sK0,k11_cat_2(sK1,sK2),X3,X4) )
& r2_nattra_1(sK0,k11_cat_2(sK1,sK2),X4,X5)
& r2_nattra_1(sK0,k11_cat_2(sK1,sK2),X3,X4)
& m2_cat_1(X5,sK0,k11_cat_2(sK1,sK2)) )
& m2_cat_1(X4,sK0,k11_cat_2(sK1,sK2)) )
& m2_cat_1(X3,sK0,k11_cat_2(sK1,sK2)) )
& l1_cat_1(sK2)
& v2_cat_1(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f153,plain,
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ( ~ r4_nattra_1(u1_cat_1(sK0),u2_cat_1(sK2),u1_cat_1(sK0),u2_cat_1(sK2),k14_isocat_2(sK0,sK1,sK2,X3,X5,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),X3,X4,X5,X6,X7)),k8_nattra_1(sK0,sK2,k12_isocat_2(sK0,sK1,sK2,X3),k12_isocat_2(sK0,sK1,sK2,X4),k12_isocat_2(sK0,sK1,sK2,X5),k14_isocat_2(sK0,sK1,sK2,X3,X4,X6),k14_isocat_2(sK0,sK1,sK2,X4,X5,X7)))
| ~ r4_nattra_1(u1_cat_1(sK0),u2_cat_1(sK1),u1_cat_1(sK0),u2_cat_1(sK1),k13_isocat_2(sK0,sK1,sK2,X3,X5,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),X3,X4,X5,X6,X7)),k8_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,X3),k11_isocat_2(sK0,sK1,sK2,X4),k11_isocat_2(sK0,sK1,sK2,X5),k13_isocat_2(sK0,sK1,sK2,X3,X4,X6),k13_isocat_2(sK0,sK1,sK2,X4,X5,X7))) )
& m2_nattra_1(X7,sK0,k11_cat_2(sK1,sK2),X4,X5) )
& m2_nattra_1(X6,sK0,k11_cat_2(sK1,sK2),X3,X4) )
& r2_nattra_1(sK0,k11_cat_2(sK1,sK2),X4,X5)
& r2_nattra_1(sK0,k11_cat_2(sK1,sK2),X3,X4)
& m2_cat_1(X5,sK0,k11_cat_2(sK1,sK2)) )
& m2_cat_1(X4,sK0,k11_cat_2(sK1,sK2)) )
& m2_cat_1(X3,sK0,k11_cat_2(sK1,sK2)) )
=> ( ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ( ~ r4_nattra_1(u1_cat_1(sK0),u2_cat_1(sK2),u1_cat_1(sK0),u2_cat_1(sK2),k14_isocat_2(sK0,sK1,sK2,sK3,X5,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,X4,X5,X6,X7)),k8_nattra_1(sK0,sK2,k12_isocat_2(sK0,sK1,sK2,sK3),k12_isocat_2(sK0,sK1,sK2,X4),k12_isocat_2(sK0,sK1,sK2,X5),k14_isocat_2(sK0,sK1,sK2,sK3,X4,X6),k14_isocat_2(sK0,sK1,sK2,X4,X5,X7)))
| ~ r4_nattra_1(u1_cat_1(sK0),u2_cat_1(sK1),u1_cat_1(sK0),u2_cat_1(sK1),k13_isocat_2(sK0,sK1,sK2,sK3,X5,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,X4,X5,X6,X7)),k8_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,sK3),k11_isocat_2(sK0,sK1,sK2,X4),k11_isocat_2(sK0,sK1,sK2,X5),k13_isocat_2(sK0,sK1,sK2,sK3,X4,X6),k13_isocat_2(sK0,sK1,sK2,X4,X5,X7))) )
& m2_nattra_1(X7,sK0,k11_cat_2(sK1,sK2),X4,X5) )
& m2_nattra_1(X6,sK0,k11_cat_2(sK1,sK2),sK3,X4) )
& r2_nattra_1(sK0,k11_cat_2(sK1,sK2),X4,X5)
& r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,X4)
& m2_cat_1(X5,sK0,k11_cat_2(sK1,sK2)) )
& m2_cat_1(X4,sK0,k11_cat_2(sK1,sK2)) )
& m2_cat_1(sK3,sK0,k11_cat_2(sK1,sK2)) ) ),
introduced(choice_axiom,[]) ).
fof(f154,plain,
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ( ~ r4_nattra_1(u1_cat_1(sK0),u2_cat_1(sK2),u1_cat_1(sK0),u2_cat_1(sK2),k14_isocat_2(sK0,sK1,sK2,sK3,X5,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,X4,X5,X6,X7)),k8_nattra_1(sK0,sK2,k12_isocat_2(sK0,sK1,sK2,sK3),k12_isocat_2(sK0,sK1,sK2,X4),k12_isocat_2(sK0,sK1,sK2,X5),k14_isocat_2(sK0,sK1,sK2,sK3,X4,X6),k14_isocat_2(sK0,sK1,sK2,X4,X5,X7)))
| ~ r4_nattra_1(u1_cat_1(sK0),u2_cat_1(sK1),u1_cat_1(sK0),u2_cat_1(sK1),k13_isocat_2(sK0,sK1,sK2,sK3,X5,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,X4,X5,X6,X7)),k8_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,sK3),k11_isocat_2(sK0,sK1,sK2,X4),k11_isocat_2(sK0,sK1,sK2,X5),k13_isocat_2(sK0,sK1,sK2,sK3,X4,X6),k13_isocat_2(sK0,sK1,sK2,X4,X5,X7))) )
& m2_nattra_1(X7,sK0,k11_cat_2(sK1,sK2),X4,X5) )
& m2_nattra_1(X6,sK0,k11_cat_2(sK1,sK2),sK3,X4) )
& r2_nattra_1(sK0,k11_cat_2(sK1,sK2),X4,X5)
& r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,X4)
& m2_cat_1(X5,sK0,k11_cat_2(sK1,sK2)) )
& m2_cat_1(X4,sK0,k11_cat_2(sK1,sK2)) )
=> ( ? [X5] :
( ? [X6] :
( ? [X7] :
( ( ~ r4_nattra_1(u1_cat_1(sK0),u2_cat_1(sK2),u1_cat_1(sK0),u2_cat_1(sK2),k14_isocat_2(sK0,sK1,sK2,sK3,X5,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4,X5,X6,X7)),k8_nattra_1(sK0,sK2,k12_isocat_2(sK0,sK1,sK2,sK3),k12_isocat_2(sK0,sK1,sK2,sK4),k12_isocat_2(sK0,sK1,sK2,X5),k14_isocat_2(sK0,sK1,sK2,sK3,sK4,X6),k14_isocat_2(sK0,sK1,sK2,sK4,X5,X7)))
| ~ r4_nattra_1(u1_cat_1(sK0),u2_cat_1(sK1),u1_cat_1(sK0),u2_cat_1(sK1),k13_isocat_2(sK0,sK1,sK2,sK3,X5,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4,X5,X6,X7)),k8_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,sK3),k11_isocat_2(sK0,sK1,sK2,sK4),k11_isocat_2(sK0,sK1,sK2,X5),k13_isocat_2(sK0,sK1,sK2,sK3,sK4,X6),k13_isocat_2(sK0,sK1,sK2,sK4,X5,X7))) )
& m2_nattra_1(X7,sK0,k11_cat_2(sK1,sK2),sK4,X5) )
& m2_nattra_1(X6,sK0,k11_cat_2(sK1,sK2),sK3,sK4) )
& r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK4,X5)
& r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4)
& m2_cat_1(X5,sK0,k11_cat_2(sK1,sK2)) )
& m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2)) ) ),
introduced(choice_axiom,[]) ).
fof(f155,plain,
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ( ~ r4_nattra_1(u1_cat_1(sK0),u2_cat_1(sK2),u1_cat_1(sK0),u2_cat_1(sK2),k14_isocat_2(sK0,sK1,sK2,sK3,X5,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4,X5,X6,X7)),k8_nattra_1(sK0,sK2,k12_isocat_2(sK0,sK1,sK2,sK3),k12_isocat_2(sK0,sK1,sK2,sK4),k12_isocat_2(sK0,sK1,sK2,X5),k14_isocat_2(sK0,sK1,sK2,sK3,sK4,X6),k14_isocat_2(sK0,sK1,sK2,sK4,X5,X7)))
| ~ r4_nattra_1(u1_cat_1(sK0),u2_cat_1(sK1),u1_cat_1(sK0),u2_cat_1(sK1),k13_isocat_2(sK0,sK1,sK2,sK3,X5,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4,X5,X6,X7)),k8_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,sK3),k11_isocat_2(sK0,sK1,sK2,sK4),k11_isocat_2(sK0,sK1,sK2,X5),k13_isocat_2(sK0,sK1,sK2,sK3,sK4,X6),k13_isocat_2(sK0,sK1,sK2,sK4,X5,X7))) )
& m2_nattra_1(X7,sK0,k11_cat_2(sK1,sK2),sK4,X5) )
& m2_nattra_1(X6,sK0,k11_cat_2(sK1,sK2),sK3,sK4) )
& r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK4,X5)
& r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4)
& m2_cat_1(X5,sK0,k11_cat_2(sK1,sK2)) )
=> ( ? [X6] :
( ? [X7] :
( ( ~ r4_nattra_1(u1_cat_1(sK0),u2_cat_1(sK2),u1_cat_1(sK0),u2_cat_1(sK2),k14_isocat_2(sK0,sK1,sK2,sK3,sK5,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4,sK5,X6,X7)),k8_nattra_1(sK0,sK2,k12_isocat_2(sK0,sK1,sK2,sK3),k12_isocat_2(sK0,sK1,sK2,sK4),k12_isocat_2(sK0,sK1,sK2,sK5),k14_isocat_2(sK0,sK1,sK2,sK3,sK4,X6),k14_isocat_2(sK0,sK1,sK2,sK4,sK5,X7)))
| ~ r4_nattra_1(u1_cat_1(sK0),u2_cat_1(sK1),u1_cat_1(sK0),u2_cat_1(sK1),k13_isocat_2(sK0,sK1,sK2,sK3,sK5,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4,sK5,X6,X7)),k8_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,sK3),k11_isocat_2(sK0,sK1,sK2,sK4),k11_isocat_2(sK0,sK1,sK2,sK5),k13_isocat_2(sK0,sK1,sK2,sK3,sK4,X6),k13_isocat_2(sK0,sK1,sK2,sK4,sK5,X7))) )
& m2_nattra_1(X7,sK0,k11_cat_2(sK1,sK2),sK4,sK5) )
& m2_nattra_1(X6,sK0,k11_cat_2(sK1,sK2),sK3,sK4) )
& r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK4,sK5)
& r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4)
& m2_cat_1(sK5,sK0,k11_cat_2(sK1,sK2)) ) ),
introduced(choice_axiom,[]) ).
fof(f156,plain,
( ? [X6] :
( ? [X7] :
( ( ~ r4_nattra_1(u1_cat_1(sK0),u2_cat_1(sK2),u1_cat_1(sK0),u2_cat_1(sK2),k14_isocat_2(sK0,sK1,sK2,sK3,sK5,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4,sK5,X6,X7)),k8_nattra_1(sK0,sK2,k12_isocat_2(sK0,sK1,sK2,sK3),k12_isocat_2(sK0,sK1,sK2,sK4),k12_isocat_2(sK0,sK1,sK2,sK5),k14_isocat_2(sK0,sK1,sK2,sK3,sK4,X6),k14_isocat_2(sK0,sK1,sK2,sK4,sK5,X7)))
| ~ r4_nattra_1(u1_cat_1(sK0),u2_cat_1(sK1),u1_cat_1(sK0),u2_cat_1(sK1),k13_isocat_2(sK0,sK1,sK2,sK3,sK5,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4,sK5,X6,X7)),k8_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,sK3),k11_isocat_2(sK0,sK1,sK2,sK4),k11_isocat_2(sK0,sK1,sK2,sK5),k13_isocat_2(sK0,sK1,sK2,sK3,sK4,X6),k13_isocat_2(sK0,sK1,sK2,sK4,sK5,X7))) )
& m2_nattra_1(X7,sK0,k11_cat_2(sK1,sK2),sK4,sK5) )
& m2_nattra_1(X6,sK0,k11_cat_2(sK1,sK2),sK3,sK4) )
=> ( ? [X7] :
( ( ~ r4_nattra_1(u1_cat_1(sK0),u2_cat_1(sK2),u1_cat_1(sK0),u2_cat_1(sK2),k14_isocat_2(sK0,sK1,sK2,sK3,sK5,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4,sK5,sK6,X7)),k8_nattra_1(sK0,sK2,k12_isocat_2(sK0,sK1,sK2,sK3),k12_isocat_2(sK0,sK1,sK2,sK4),k12_isocat_2(sK0,sK1,sK2,sK5),k14_isocat_2(sK0,sK1,sK2,sK3,sK4,sK6),k14_isocat_2(sK0,sK1,sK2,sK4,sK5,X7)))
| ~ r4_nattra_1(u1_cat_1(sK0),u2_cat_1(sK1),u1_cat_1(sK0),u2_cat_1(sK1),k13_isocat_2(sK0,sK1,sK2,sK3,sK5,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4,sK5,sK6,X7)),k8_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,sK3),k11_isocat_2(sK0,sK1,sK2,sK4),k11_isocat_2(sK0,sK1,sK2,sK5),k13_isocat_2(sK0,sK1,sK2,sK3,sK4,sK6),k13_isocat_2(sK0,sK1,sK2,sK4,sK5,X7))) )
& m2_nattra_1(X7,sK0,k11_cat_2(sK1,sK2),sK4,sK5) )
& m2_nattra_1(sK6,sK0,k11_cat_2(sK1,sK2),sK3,sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f157,plain,
( ? [X7] :
( ( ~ r4_nattra_1(u1_cat_1(sK0),u2_cat_1(sK2),u1_cat_1(sK0),u2_cat_1(sK2),k14_isocat_2(sK0,sK1,sK2,sK3,sK5,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4,sK5,sK6,X7)),k8_nattra_1(sK0,sK2,k12_isocat_2(sK0,sK1,sK2,sK3),k12_isocat_2(sK0,sK1,sK2,sK4),k12_isocat_2(sK0,sK1,sK2,sK5),k14_isocat_2(sK0,sK1,sK2,sK3,sK4,sK6),k14_isocat_2(sK0,sK1,sK2,sK4,sK5,X7)))
| ~ r4_nattra_1(u1_cat_1(sK0),u2_cat_1(sK1),u1_cat_1(sK0),u2_cat_1(sK1),k13_isocat_2(sK0,sK1,sK2,sK3,sK5,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4,sK5,sK6,X7)),k8_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,sK3),k11_isocat_2(sK0,sK1,sK2,sK4),k11_isocat_2(sK0,sK1,sK2,sK5),k13_isocat_2(sK0,sK1,sK2,sK3,sK4,sK6),k13_isocat_2(sK0,sK1,sK2,sK4,sK5,X7))) )
& m2_nattra_1(X7,sK0,k11_cat_2(sK1,sK2),sK4,sK5) )
=> ( ( ~ r4_nattra_1(u1_cat_1(sK0),u2_cat_1(sK2),u1_cat_1(sK0),u2_cat_1(sK2),k14_isocat_2(sK0,sK1,sK2,sK3,sK5,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4,sK5,sK6,sK7)),k8_nattra_1(sK0,sK2,k12_isocat_2(sK0,sK1,sK2,sK3),k12_isocat_2(sK0,sK1,sK2,sK4),k12_isocat_2(sK0,sK1,sK2,sK5),k14_isocat_2(sK0,sK1,sK2,sK3,sK4,sK6),k14_isocat_2(sK0,sK1,sK2,sK4,sK5,sK7)))
| ~ r4_nattra_1(u1_cat_1(sK0),u2_cat_1(sK1),u1_cat_1(sK0),u2_cat_1(sK1),k13_isocat_2(sK0,sK1,sK2,sK3,sK5,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4,sK5,sK6,sK7)),k8_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,sK3),k11_isocat_2(sK0,sK1,sK2,sK4),k11_isocat_2(sK0,sK1,sK2,sK5),k13_isocat_2(sK0,sK1,sK2,sK3,sK4,sK6),k13_isocat_2(sK0,sK1,sK2,sK4,sK5,sK7))) )
& m2_nattra_1(sK7,sK0,k11_cat_2(sK1,sK2),sK4,sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f158,plain,
( ( ~ r4_nattra_1(u1_cat_1(sK0),u2_cat_1(sK2),u1_cat_1(sK0),u2_cat_1(sK2),k14_isocat_2(sK0,sK1,sK2,sK3,sK5,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4,sK5,sK6,sK7)),k8_nattra_1(sK0,sK2,k12_isocat_2(sK0,sK1,sK2,sK3),k12_isocat_2(sK0,sK1,sK2,sK4),k12_isocat_2(sK0,sK1,sK2,sK5),k14_isocat_2(sK0,sK1,sK2,sK3,sK4,sK6),k14_isocat_2(sK0,sK1,sK2,sK4,sK5,sK7)))
| ~ r4_nattra_1(u1_cat_1(sK0),u2_cat_1(sK1),u1_cat_1(sK0),u2_cat_1(sK1),k13_isocat_2(sK0,sK1,sK2,sK3,sK5,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4,sK5,sK6,sK7)),k8_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,sK3),k11_isocat_2(sK0,sK1,sK2,sK4),k11_isocat_2(sK0,sK1,sK2,sK5),k13_isocat_2(sK0,sK1,sK2,sK3,sK4,sK6),k13_isocat_2(sK0,sK1,sK2,sK4,sK5,sK7))) )
& m2_nattra_1(sK7,sK0,k11_cat_2(sK1,sK2),sK4,sK5)
& m2_nattra_1(sK6,sK0,k11_cat_2(sK1,sK2),sK3,sK4)
& r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK4,sK5)
& r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4)
& m2_cat_1(sK5,sK0,k11_cat_2(sK1,sK2))
& m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2))
& m2_cat_1(sK3,sK0,k11_cat_2(sK1,sK2))
& l1_cat_1(sK2)
& v2_cat_1(sK2)
& l1_cat_1(sK1)
& v2_cat_1(sK1)
& l1_cat_1(sK0)
& v2_cat_1(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7])],[f69,f157,f156,f155,f154,f153,f152,f151,f150]) ).
fof(f183,plain,
v2_cat_1(sK0),
inference(cnf_transformation,[],[f158]) ).
fof(f184,plain,
l1_cat_1(sK0),
inference(cnf_transformation,[],[f158]) ).
fof(f185,plain,
v2_cat_1(sK1),
inference(cnf_transformation,[],[f158]) ).
fof(f186,plain,
l1_cat_1(sK1),
inference(cnf_transformation,[],[f158]) ).
fof(f187,plain,
v2_cat_1(sK2),
inference(cnf_transformation,[],[f158]) ).
fof(f188,plain,
l1_cat_1(sK2),
inference(cnf_transformation,[],[f158]) ).
fof(f189,plain,
m2_cat_1(sK3,sK0,k11_cat_2(sK1,sK2)),
inference(cnf_transformation,[],[f158]) ).
fof(f190,plain,
m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2)),
inference(cnf_transformation,[],[f158]) ).
fof(f191,plain,
m2_cat_1(sK5,sK0,k11_cat_2(sK1,sK2)),
inference(cnf_transformation,[],[f158]) ).
fof(f192,plain,
r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4),
inference(cnf_transformation,[],[f158]) ).
fof(f193,plain,
r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK4,sK5),
inference(cnf_transformation,[],[f158]) ).
fof(f194,plain,
m2_nattra_1(sK6,sK0,k11_cat_2(sK1,sK2),sK3,sK4),
inference(cnf_transformation,[],[f158]) ).
fof(f195,plain,
m2_nattra_1(sK7,sK0,k11_cat_2(sK1,sK2),sK4,sK5),
inference(cnf_transformation,[],[f158]) ).
fof(f196,plain,
( ~ r4_nattra_1(u1_cat_1(sK0),u2_cat_1(sK2),u1_cat_1(sK0),u2_cat_1(sK2),k14_isocat_2(sK0,sK1,sK2,sK3,sK5,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4,sK5,sK6,sK7)),k8_nattra_1(sK0,sK2,k12_isocat_2(sK0,sK1,sK2,sK3),k12_isocat_2(sK0,sK1,sK2,sK4),k12_isocat_2(sK0,sK1,sK2,sK5),k14_isocat_2(sK0,sK1,sK2,sK3,sK4,sK6),k14_isocat_2(sK0,sK1,sK2,sK4,sK5,sK7)))
| ~ r4_nattra_1(u1_cat_1(sK0),u2_cat_1(sK1),u1_cat_1(sK0),u2_cat_1(sK1),k13_isocat_2(sK0,sK1,sK2,sK3,sK5,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4,sK5,sK6,sK7)),k8_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,sK3),k11_isocat_2(sK0,sK1,sK2,sK4),k11_isocat_2(sK0,sK1,sK2,sK5),k13_isocat_2(sK0,sK1,sK2,sK3,sK4,sK6),k13_isocat_2(sK0,sK1,sK2,sK4,sK5,sK7))) ),
inference(cnf_transformation,[],[f158]) ).
fof(f223,plain,
! [X0,X1] :
( m2_cat_1(k8_isocat_2(X0,X1),k11_cat_2(X0,X1),X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f224,plain,
! [X0,X1] :
( m2_cat_1(k9_isocat_2(X0,X1),k11_cat_2(X0,X1),X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f240,plain,
! [X2,X3,X0,X1,X4] :
( k2_isocat_1(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| ~ m2_cat_1(X4,X1,X2)
| ~ m2_cat_1(X3,X0,X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f243,plain,
! [X0,X1] :
( v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f244,plain,
! [X0,X1] :
( l1_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f251,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( m2_nattra_1(k8_nattra_1(X0,X1,X2,X3,X4,X5,X6),X0,X1,X2,X4)
| ~ m2_nattra_1(X6,X0,X1,X3,X4)
| ~ m2_nattra_1(X5,X0,X1,X2,X3)
| ~ m2_cat_1(X4,X0,X1)
| ~ m2_cat_1(X3,X0,X1)
| ~ m2_cat_1(X2,X0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f258,plain,
! [X2,X3,X0,X1] :
( k11_isocat_2(X0,X1,X2,X3) = k2_isocat_1(X0,k11_cat_2(X1,X2),X1,X3,k8_isocat_2(X1,X2))
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f259,plain,
! [X2,X3,X0,X1] :
( k12_isocat_2(X0,X1,X2,X3) = k2_isocat_1(X0,k11_cat_2(X1,X2),X2,X3,k9_isocat_2(X1,X2))
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f260,plain,
! [X2,X3,X0,X1,X4,X5] :
( k13_isocat_2(X0,X1,X2,X3,X4,X5) = k6_isocat_1(X0,k11_cat_2(X1,X2),X1,X3,X4,X5,k8_isocat_2(X1,X2))
| ~ m2_nattra_1(X5,X0,k11_cat_2(X1,X2),X3,X4)
| ~ m2_cat_1(X4,X0,k11_cat_2(X1,X2))
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f261,plain,
! [X2,X3,X0,X1,X4,X5] :
( k14_isocat_2(X0,X1,X2,X3,X4,X5) = k6_isocat_1(X0,k11_cat_2(X1,X2),X2,X3,X4,X5,k9_isocat_2(X1,X2))
| ~ m2_nattra_1(X5,X0,k11_cat_2(X1,X2),X3,X4)
| ~ m2_cat_1(X4,X0,k11_cat_2(X1,X2))
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f147]) ).
fof(f262,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( r4_nattra_1(u1_cat_1(X1),u2_cat_1(X0),u1_cat_1(X1),u2_cat_1(X0),k6_isocat_1(X1,X2,X0,X3,X5,k8_nattra_1(X1,X2,X3,X4,X5,X7,X8),X6),k8_nattra_1(X1,X0,k2_isocat_1(X1,X2,X0,X3,X6),k2_isocat_1(X1,X2,X0,X4,X6),k2_isocat_1(X1,X2,X0,X5,X6),k6_isocat_1(X1,X2,X0,X3,X4,X7,X6),k6_isocat_1(X1,X2,X0,X4,X5,X8,X6)))
| ~ r2_nattra_1(X1,X2,X4,X5)
| ~ r2_nattra_1(X1,X2,X3,X4)
| ~ m2_nattra_1(X8,X1,X2,X4,X5)
| ~ m2_nattra_1(X7,X1,X2,X3,X4)
| ~ m2_cat_1(X6,X2,X0)
| ~ m2_cat_1(X5,X1,X2)
| ~ m2_cat_1(X4,X1,X2)
| ~ m2_cat_1(X3,X1,X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f149]) ).
cnf(c_49,negated_conjecture,
( ~ r4_nattra_1(u1_cat_1(sK0),u2_cat_1(sK2),u1_cat_1(sK0),u2_cat_1(sK2),k14_isocat_2(sK0,sK1,sK2,sK3,sK5,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4,sK5,sK6,sK7)),k8_nattra_1(sK0,sK2,k12_isocat_2(sK0,sK1,sK2,sK3),k12_isocat_2(sK0,sK1,sK2,sK4),k12_isocat_2(sK0,sK1,sK2,sK5),k14_isocat_2(sK0,sK1,sK2,sK3,sK4,sK6),k14_isocat_2(sK0,sK1,sK2,sK4,sK5,sK7)))
| ~ r4_nattra_1(u1_cat_1(sK0),u2_cat_1(sK1),u1_cat_1(sK0),u2_cat_1(sK1),k13_isocat_2(sK0,sK1,sK2,sK3,sK5,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4,sK5,sK6,sK7)),k8_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,sK3),k11_isocat_2(sK0,sK1,sK2,sK4),k11_isocat_2(sK0,sK1,sK2,sK5),k13_isocat_2(sK0,sK1,sK2,sK3,sK4,sK6),k13_isocat_2(sK0,sK1,sK2,sK4,sK5,sK7))) ),
inference(cnf_transformation,[],[f196]) ).
cnf(c_50,negated_conjecture,
m2_nattra_1(sK7,sK0,k11_cat_2(sK1,sK2),sK4,sK5),
inference(cnf_transformation,[],[f195]) ).
cnf(c_51,negated_conjecture,
m2_nattra_1(sK6,sK0,k11_cat_2(sK1,sK2),sK3,sK4),
inference(cnf_transformation,[],[f194]) ).
cnf(c_52,negated_conjecture,
r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK4,sK5),
inference(cnf_transformation,[],[f193]) ).
cnf(c_53,negated_conjecture,
r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4),
inference(cnf_transformation,[],[f192]) ).
cnf(c_54,negated_conjecture,
m2_cat_1(sK5,sK0,k11_cat_2(sK1,sK2)),
inference(cnf_transformation,[],[f191]) ).
cnf(c_55,negated_conjecture,
m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2)),
inference(cnf_transformation,[],[f190]) ).
cnf(c_56,negated_conjecture,
m2_cat_1(sK3,sK0,k11_cat_2(sK1,sK2)),
inference(cnf_transformation,[],[f189]) ).
cnf(c_57,negated_conjecture,
l1_cat_1(sK2),
inference(cnf_transformation,[],[f188]) ).
cnf(c_58,negated_conjecture,
v2_cat_1(sK2),
inference(cnf_transformation,[],[f187]) ).
cnf(c_59,negated_conjecture,
l1_cat_1(sK1),
inference(cnf_transformation,[],[f186]) ).
cnf(c_60,negated_conjecture,
v2_cat_1(sK1),
inference(cnf_transformation,[],[f185]) ).
cnf(c_61,negated_conjecture,
l1_cat_1(sK0),
inference(cnf_transformation,[],[f184]) ).
cnf(c_62,negated_conjecture,
v2_cat_1(sK0),
inference(cnf_transformation,[],[f183]) ).
cnf(c_89,plain,
( ~ l1_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X0)
| ~ v2_cat_1(X1)
| m2_cat_1(k8_isocat_2(X0,X1),k11_cat_2(X0,X1),X0) ),
inference(cnf_transformation,[],[f223]) ).
cnf(c_90,plain,
( ~ l1_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X0)
| ~ v2_cat_1(X1)
| m2_cat_1(k9_isocat_2(X0,X1),k11_cat_2(X0,X1),X1) ),
inference(cnf_transformation,[],[f224]) ).
cnf(c_106,plain,
( ~ m2_cat_1(X0,X1,X2)
| ~ m2_cat_1(X3,X2,X4)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X4)
| k2_isocat_1(X1,X2,X4,X0,X3) = k5_relat_1(X0,X3) ),
inference(cnf_transformation,[],[f240]) ).
cnf(c_109,plain,
( ~ l1_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X0)
| ~ v2_cat_1(X1)
| l1_cat_1(k11_cat_2(X0,X1)) ),
inference(cnf_transformation,[],[f244]) ).
cnf(c_110,plain,
( ~ l1_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X0)
| ~ v2_cat_1(X1)
| v2_cat_1(k11_cat_2(X0,X1)) ),
inference(cnf_transformation,[],[f243]) ).
cnf(c_117,plain,
( ~ m2_nattra_1(X0,X1,X2,X3,X4)
| ~ m2_nattra_1(X5,X1,X2,X4,X6)
| ~ m2_cat_1(X3,X1,X2)
| ~ m2_cat_1(X4,X1,X2)
| ~ m2_cat_1(X6,X1,X2)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X2)
| m2_nattra_1(k8_nattra_1(X1,X2,X3,X4,X6,X0,X5),X1,X2,X3,X6) ),
inference(cnf_transformation,[],[f251]) ).
cnf(c_124,plain,
( ~ m2_cat_1(X0,X1,k11_cat_2(X2,X3))
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X3)
| k2_isocat_1(X1,k11_cat_2(X2,X3),X2,X0,k8_isocat_2(X2,X3)) = k11_isocat_2(X1,X2,X3,X0) ),
inference(cnf_transformation,[],[f258]) ).
cnf(c_125,plain,
( ~ m2_cat_1(X0,X1,k11_cat_2(X2,X3))
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X3)
| k2_isocat_1(X1,k11_cat_2(X2,X3),X3,X0,k9_isocat_2(X2,X3)) = k12_isocat_2(X1,X2,X3,X0) ),
inference(cnf_transformation,[],[f259]) ).
cnf(c_126,plain,
( ~ m2_nattra_1(X0,X1,k11_cat_2(X2,X3),X4,X5)
| ~ m2_cat_1(X4,X1,k11_cat_2(X2,X3))
| ~ m2_cat_1(X5,X1,k11_cat_2(X2,X3))
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X3)
| k6_isocat_1(X1,k11_cat_2(X2,X3),X2,X4,X5,X0,k8_isocat_2(X2,X3)) = k13_isocat_2(X1,X2,X3,X4,X5,X0) ),
inference(cnf_transformation,[],[f260]) ).
cnf(c_127,plain,
( ~ m2_nattra_1(X0,X1,k11_cat_2(X2,X3),X4,X5)
| ~ m2_cat_1(X4,X1,k11_cat_2(X2,X3))
| ~ m2_cat_1(X5,X1,k11_cat_2(X2,X3))
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X3)
| k6_isocat_1(X1,k11_cat_2(X2,X3),X3,X4,X5,X0,k9_isocat_2(X2,X3)) = k14_isocat_2(X1,X2,X3,X4,X5,X0) ),
inference(cnf_transformation,[],[f261]) ).
cnf(c_128,plain,
( ~ m2_nattra_1(X0,X1,X2,X3,X4)
| ~ m2_nattra_1(X5,X1,X2,X4,X6)
| ~ r2_nattra_1(X1,X2,X3,X4)
| ~ r2_nattra_1(X1,X2,X4,X6)
| ~ m2_cat_1(X3,X1,X2)
| ~ m2_cat_1(X4,X1,X2)
| ~ m2_cat_1(X6,X1,X2)
| ~ m2_cat_1(X7,X2,X8)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X8)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X8)
| r4_nattra_1(u1_cat_1(X1),u2_cat_1(X8),u1_cat_1(X1),u2_cat_1(X8),k6_isocat_1(X1,X2,X8,X3,X6,k8_nattra_1(X1,X2,X3,X4,X6,X0,X5),X7),k8_nattra_1(X1,X8,k2_isocat_1(X1,X2,X8,X3,X7),k2_isocat_1(X1,X2,X8,X4,X7),k2_isocat_1(X1,X2,X8,X6,X7),k6_isocat_1(X1,X2,X8,X3,X4,X0,X7),k6_isocat_1(X1,X2,X8,X4,X6,X5,X7))) ),
inference(cnf_transformation,[],[f262]) ).
cnf(c_4237,plain,
k11_cat_2(sK1,sK2) = sP0_iProver_def,
definition ).
cnf(c_4238,plain,
u1_cat_1(sK0) = sP1_iProver_def,
definition ).
cnf(c_4239,plain,
u2_cat_1(sK2) = sP2_iProver_def,
definition ).
cnf(c_4240,plain,
k8_nattra_1(sK0,sP0_iProver_def,sK3,sK4,sK5,sK6,sK7) = sP3_iProver_def,
definition ).
cnf(c_4241,plain,
k14_isocat_2(sK0,sK1,sK2,sK3,sK5,sP3_iProver_def) = sP4_iProver_def,
definition ).
cnf(c_4242,plain,
k12_isocat_2(sK0,sK1,sK2,sK3) = sP5_iProver_def,
definition ).
cnf(c_4243,plain,
k12_isocat_2(sK0,sK1,sK2,sK4) = sP6_iProver_def,
definition ).
cnf(c_4244,plain,
k12_isocat_2(sK0,sK1,sK2,sK5) = sP7_iProver_def,
definition ).
cnf(c_4245,plain,
k14_isocat_2(sK0,sK1,sK2,sK3,sK4,sK6) = sP8_iProver_def,
definition ).
cnf(c_4246,plain,
k14_isocat_2(sK0,sK1,sK2,sK4,sK5,sK7) = sP9_iProver_def,
definition ).
cnf(c_4247,plain,
k8_nattra_1(sK0,sK2,sP5_iProver_def,sP6_iProver_def,sP7_iProver_def,sP8_iProver_def,sP9_iProver_def) = sP10_iProver_def,
definition ).
cnf(c_4248,plain,
u2_cat_1(sK1) = sP11_iProver_def,
definition ).
cnf(c_4249,plain,
k13_isocat_2(sK0,sK1,sK2,sK3,sK5,sP3_iProver_def) = sP12_iProver_def,
definition ).
cnf(c_4250,plain,
k11_isocat_2(sK0,sK1,sK2,sK3) = sP13_iProver_def,
definition ).
cnf(c_4251,plain,
k11_isocat_2(sK0,sK1,sK2,sK4) = sP14_iProver_def,
definition ).
cnf(c_4252,plain,
k11_isocat_2(sK0,sK1,sK2,sK5) = sP15_iProver_def,
definition ).
cnf(c_4253,plain,
k13_isocat_2(sK0,sK1,sK2,sK3,sK4,sK6) = sP16_iProver_def,
definition ).
cnf(c_4254,plain,
k13_isocat_2(sK0,sK1,sK2,sK4,sK5,sK7) = sP17_iProver_def,
definition ).
cnf(c_4255,plain,
k8_nattra_1(sK0,sK1,sP13_iProver_def,sP14_iProver_def,sP15_iProver_def,sP16_iProver_def,sP17_iProver_def) = sP18_iProver_def,
definition ).
cnf(c_4256,negated_conjecture,
v2_cat_1(sK0),
inference(demodulation,[status(thm)],[c_62]) ).
cnf(c_4257,negated_conjecture,
l1_cat_1(sK0),
inference(demodulation,[status(thm)],[c_61]) ).
cnf(c_4258,negated_conjecture,
v2_cat_1(sK1),
inference(demodulation,[status(thm)],[c_60]) ).
cnf(c_4259,negated_conjecture,
l1_cat_1(sK1),
inference(demodulation,[status(thm)],[c_59]) ).
cnf(c_4260,negated_conjecture,
v2_cat_1(sK2),
inference(demodulation,[status(thm)],[c_58]) ).
cnf(c_4261,negated_conjecture,
l1_cat_1(sK2),
inference(demodulation,[status(thm)],[c_57]) ).
cnf(c_4262,negated_conjecture,
m2_cat_1(sK3,sK0,sP0_iProver_def),
inference(demodulation,[status(thm)],[c_56,c_4237]) ).
cnf(c_4263,negated_conjecture,
m2_cat_1(sK4,sK0,sP0_iProver_def),
inference(demodulation,[status(thm)],[c_55]) ).
cnf(c_4264,negated_conjecture,
m2_cat_1(sK5,sK0,sP0_iProver_def),
inference(demodulation,[status(thm)],[c_54]) ).
cnf(c_4265,negated_conjecture,
r2_nattra_1(sK0,sP0_iProver_def,sK3,sK4),
inference(demodulation,[status(thm)],[c_53]) ).
cnf(c_4266,negated_conjecture,
r2_nattra_1(sK0,sP0_iProver_def,sK4,sK5),
inference(demodulation,[status(thm)],[c_52]) ).
cnf(c_4267,negated_conjecture,
m2_nattra_1(sK6,sK0,sP0_iProver_def,sK3,sK4),
inference(demodulation,[status(thm)],[c_51]) ).
cnf(c_4268,negated_conjecture,
m2_nattra_1(sK7,sK0,sP0_iProver_def,sK4,sK5),
inference(demodulation,[status(thm)],[c_50]) ).
cnf(c_4269,negated_conjecture,
( ~ r4_nattra_1(sP1_iProver_def,sP2_iProver_def,sP1_iProver_def,sP2_iProver_def,sP4_iProver_def,sP10_iProver_def)
| ~ r4_nattra_1(sP1_iProver_def,sP11_iProver_def,sP1_iProver_def,sP11_iProver_def,sP12_iProver_def,sP18_iProver_def) ),
inference(demodulation,[status(thm)],[c_49,c_4254,c_4253,c_4252,c_4251,c_4250,c_4255,c_4249,c_4248,c_4246,c_4245,c_4244,c_4243,c_4242,c_4247,c_4240,c_4241,c_4239,c_4238]) ).
cnf(c_51080,plain,
( ~ l1_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ v2_cat_1(sK1)
| l1_cat_1(sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_4237,c_109]) ).
cnf(c_51081,plain,
l1_cat_1(sP0_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_51080,c_4258,c_4260,c_4259,c_4261]) ).
cnf(c_51437,plain,
( ~ l1_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ v2_cat_1(sK1)
| v2_cat_1(sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_4237,c_110]) ).
cnf(c_51438,plain,
v2_cat_1(sP0_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_51437,c_4258,c_4260,c_4259,c_4261]) ).
cnf(c_51651,plain,
( ~ l1_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ v2_cat_1(sK1)
| m2_cat_1(k8_isocat_2(sK1,sK2),sP0_iProver_def,sK1) ),
inference(superposition,[status(thm)],[c_4237,c_89]) ).
cnf(c_51653,plain,
m2_cat_1(k8_isocat_2(sK1,sK2),sP0_iProver_def,sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_51651,c_4258,c_4260,c_4259,c_4261]) ).
cnf(c_51778,plain,
( ~ l1_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ v2_cat_1(sK1)
| m2_cat_1(k9_isocat_2(sK1,sK2),sP0_iProver_def,sK2) ),
inference(superposition,[status(thm)],[c_4237,c_90]) ).
cnf(c_51780,plain,
m2_cat_1(k9_isocat_2(sK1,sK2),sP0_iProver_def,sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_51778,c_4258,c_4260,c_4259,c_4261]) ).
cnf(c_52117,plain,
( ~ m2_cat_1(X0,sP0_iProver_def,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(sK0)
| ~ l1_cat_1(sP0_iProver_def)
| ~ v2_cat_1(sK0)
| ~ v2_cat_1(sP0_iProver_def)
| k2_isocat_1(sK0,sP0_iProver_def,X1,sK3,X0) = k5_relat_1(sK3,X0) ),
inference(superposition,[status(thm)],[c_4262,c_106]) ).
cnf(c_52118,plain,
( ~ m2_cat_1(X0,sP0_iProver_def,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(sK0)
| ~ l1_cat_1(sP0_iProver_def)
| ~ v2_cat_1(sK0)
| ~ v2_cat_1(sP0_iProver_def)
| k2_isocat_1(sK0,sP0_iProver_def,X1,sK4,X0) = k5_relat_1(sK4,X0) ),
inference(superposition,[status(thm)],[c_4263,c_106]) ).
cnf(c_52119,plain,
( ~ m2_cat_1(X0,sP0_iProver_def,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(sK0)
| ~ l1_cat_1(sP0_iProver_def)
| ~ v2_cat_1(sK0)
| ~ v2_cat_1(sP0_iProver_def)
| k2_isocat_1(sK0,sP0_iProver_def,X1,sK5,X0) = k5_relat_1(sK5,X0) ),
inference(superposition,[status(thm)],[c_4264,c_106]) ).
cnf(c_52142,plain,
( ~ m2_cat_1(X0,sP0_iProver_def,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(sK0,sP0_iProver_def,X1,sK5,X0) = k5_relat_1(sK5,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52119,c_51438,c_4256,c_51081,c_4257]) ).
cnf(c_52147,plain,
( ~ m2_cat_1(X0,sP0_iProver_def,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(sK0,sP0_iProver_def,X1,sK4,X0) = k5_relat_1(sK4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52118,c_51438,c_4256,c_51081,c_4257]) ).
cnf(c_52152,plain,
( ~ m2_cat_1(X0,sP0_iProver_def,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(sK0,sP0_iProver_def,X1,sK3,X0) = k5_relat_1(sK3,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52117,c_51438,c_4256,c_51081,c_4257]) ).
cnf(c_52291,plain,
( ~ m2_cat_1(X0,X1,sP0_iProver_def)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ v2_cat_1(sK1)
| k2_isocat_1(X1,k11_cat_2(sK1,sK2),sK1,X0,k8_isocat_2(sK1,sK2)) = k11_isocat_2(X1,sK1,sK2,X0) ),
inference(superposition,[status(thm)],[c_4237,c_124]) ).
cnf(c_52292,plain,
( ~ m2_cat_1(X0,X1,sP0_iProver_def)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ v2_cat_1(sK1)
| k2_isocat_1(X1,sP0_iProver_def,sK1,X0,k8_isocat_2(sK1,sK2)) = k11_isocat_2(X1,sK1,sK2,X0) ),
inference(light_normalisation,[status(thm)],[c_52291,c_4237]) ).
cnf(c_52293,plain,
( ~ m2_cat_1(X0,X1,sP0_iProver_def)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,sP0_iProver_def,sK1,X0,k8_isocat_2(sK1,sK2)) = k11_isocat_2(X1,sK1,sK2,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52292,c_4258,c_4260,c_4259,c_4261]) ).
cnf(c_52543,plain,
( ~ m2_cat_1(X0,X1,sP0_iProver_def)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ v2_cat_1(sK1)
| k2_isocat_1(X1,k11_cat_2(sK1,sK2),sK2,X0,k9_isocat_2(sK1,sK2)) = k12_isocat_2(X1,sK1,sK2,X0) ),
inference(superposition,[status(thm)],[c_4237,c_125]) ).
cnf(c_52544,plain,
( ~ m2_cat_1(X0,X1,sP0_iProver_def)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ v2_cat_1(sK1)
| k2_isocat_1(X1,sP0_iProver_def,sK2,X0,k9_isocat_2(sK1,sK2)) = k12_isocat_2(X1,sK1,sK2,X0) ),
inference(light_normalisation,[status(thm)],[c_52543,c_4237]) ).
cnf(c_52545,plain,
( ~ m2_cat_1(X0,X1,sP0_iProver_def)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,sP0_iProver_def,sK2,X0,k9_isocat_2(sK1,sK2)) = k12_isocat_2(X1,sK1,sK2,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52544,c_4258,c_4260,c_4259,c_4261]) ).
cnf(c_52660,plain,
( ~ m2_nattra_1(sK6,sK0,sP0_iProver_def,sK3,sK4)
| ~ m2_nattra_1(sK7,sK0,sP0_iProver_def,sK4,sK5)
| ~ m2_cat_1(sK3,sK0,sP0_iProver_def)
| ~ m2_cat_1(sK5,sK0,sP0_iProver_def)
| ~ m2_cat_1(sK4,sK0,sP0_iProver_def)
| ~ l1_cat_1(sK0)
| ~ l1_cat_1(sP0_iProver_def)
| ~ v2_cat_1(sK0)
| ~ v2_cat_1(sP0_iProver_def)
| m2_nattra_1(sP3_iProver_def,sK0,sP0_iProver_def,sK3,sK5) ),
inference(superposition,[status(thm)],[c_4240,c_117]) ).
cnf(c_52671,plain,
m2_nattra_1(sP3_iProver_def,sK0,sP0_iProver_def,sK3,sK5),
inference(forward_subsumption_resolution,[status(thm)],[c_52660,c_51438,c_4256,c_51081,c_4257,c_4263,c_4264,c_4262,c_4268,c_4267]) ).
cnf(c_52865,plain,
( ~ m2_nattra_1(X0,X1,sP0_iProver_def,X2,X3)
| ~ m2_cat_1(X2,X1,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X3,X1,k11_cat_2(sK1,sK2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ v2_cat_1(sK1)
| k6_isocat_1(X1,k11_cat_2(sK1,sK2),sK1,X2,X3,X0,k8_isocat_2(sK1,sK2)) = k13_isocat_2(X1,sK1,sK2,X2,X3,X0) ),
inference(superposition,[status(thm)],[c_4237,c_126]) ).
cnf(c_52866,plain,
( ~ m2_nattra_1(X0,X1,sP0_iProver_def,X2,X3)
| ~ m2_cat_1(X2,X1,sP0_iProver_def)
| ~ m2_cat_1(X3,X1,sP0_iProver_def)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ v2_cat_1(sK1)
| k6_isocat_1(X1,sP0_iProver_def,sK1,X2,X3,X0,k8_isocat_2(sK1,sK2)) = k13_isocat_2(X1,sK1,sK2,X2,X3,X0) ),
inference(light_normalisation,[status(thm)],[c_52865,c_4237]) ).
cnf(c_52867,plain,
( ~ m2_nattra_1(X0,X1,sP0_iProver_def,X2,X3)
| ~ m2_cat_1(X2,X1,sP0_iProver_def)
| ~ m2_cat_1(X3,X1,sP0_iProver_def)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k6_isocat_1(X1,sP0_iProver_def,sK1,X2,X3,X0,k8_isocat_2(sK1,sK2)) = k13_isocat_2(X1,sK1,sK2,X2,X3,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52866,c_4258,c_4260,c_4259,c_4261]) ).
cnf(c_52955,plain,
( ~ m2_nattra_1(X0,X1,sP0_iProver_def,X2,X3)
| ~ m2_cat_1(X2,X1,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X3,X1,k11_cat_2(sK1,sK2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ v2_cat_1(sK1)
| k6_isocat_1(X1,k11_cat_2(sK1,sK2),sK2,X2,X3,X0,k9_isocat_2(sK1,sK2)) = k14_isocat_2(X1,sK1,sK2,X2,X3,X0) ),
inference(superposition,[status(thm)],[c_4237,c_127]) ).
cnf(c_52956,plain,
( ~ m2_nattra_1(X0,X1,sP0_iProver_def,X2,X3)
| ~ m2_cat_1(X2,X1,sP0_iProver_def)
| ~ m2_cat_1(X3,X1,sP0_iProver_def)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ v2_cat_1(sK1)
| k6_isocat_1(X1,sP0_iProver_def,sK2,X2,X3,X0,k9_isocat_2(sK1,sK2)) = k14_isocat_2(X1,sK1,sK2,X2,X3,X0) ),
inference(light_normalisation,[status(thm)],[c_52955,c_4237]) ).
cnf(c_52957,plain,
( ~ m2_nattra_1(X0,X1,sP0_iProver_def,X2,X3)
| ~ m2_cat_1(X2,X1,sP0_iProver_def)
| ~ m2_cat_1(X3,X1,sP0_iProver_def)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k6_isocat_1(X1,sP0_iProver_def,sK2,X2,X3,X0,k9_isocat_2(sK1,sK2)) = k14_isocat_2(X1,sK1,sK2,X2,X3,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52956,c_4258,c_4260,c_4259,c_4261]) ).
cnf(c_53115,plain,
( ~ m2_nattra_1(sK6,sK0,sP0_iProver_def,sK3,sK4)
| ~ m2_nattra_1(sK7,sK0,sP0_iProver_def,sK4,sK5)
| ~ r2_nattra_1(sK0,sP0_iProver_def,sK3,sK4)
| ~ r2_nattra_1(sK0,sP0_iProver_def,sK4,sK5)
| ~ m2_cat_1(X0,sP0_iProver_def,X1)
| ~ m2_cat_1(sK3,sK0,sP0_iProver_def)
| ~ m2_cat_1(sK5,sK0,sP0_iProver_def)
| ~ m2_cat_1(sK4,sK0,sP0_iProver_def)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(sK0)
| ~ l1_cat_1(sP0_iProver_def)
| ~ v2_cat_1(sK0)
| ~ v2_cat_1(sP0_iProver_def)
| r4_nattra_1(u1_cat_1(sK0),u2_cat_1(X1),u1_cat_1(sK0),u2_cat_1(X1),k6_isocat_1(sK0,sP0_iProver_def,X1,sK3,sK5,sP3_iProver_def,X0),k8_nattra_1(sK0,X1,k2_isocat_1(sK0,sP0_iProver_def,X1,sK3,X0),k2_isocat_1(sK0,sP0_iProver_def,X1,sK4,X0),k2_isocat_1(sK0,sP0_iProver_def,X1,sK5,X0),k6_isocat_1(sK0,sP0_iProver_def,X1,sK3,sK4,sK6,X0),k6_isocat_1(sK0,sP0_iProver_def,X1,sK4,sK5,sK7,X0))) ),
inference(superposition,[status(thm)],[c_4240,c_128]) ).
cnf(c_53136,plain,
( ~ m2_nattra_1(sK6,sK0,sP0_iProver_def,sK3,sK4)
| ~ m2_nattra_1(sK7,sK0,sP0_iProver_def,sK4,sK5)
| ~ r2_nattra_1(sK0,sP0_iProver_def,sK3,sK4)
| ~ r2_nattra_1(sK0,sP0_iProver_def,sK4,sK5)
| ~ m2_cat_1(X0,sP0_iProver_def,X1)
| ~ m2_cat_1(sK3,sK0,sP0_iProver_def)
| ~ m2_cat_1(sK5,sK0,sP0_iProver_def)
| ~ m2_cat_1(sK4,sK0,sP0_iProver_def)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(sK0)
| ~ l1_cat_1(sP0_iProver_def)
| ~ v2_cat_1(sK0)
| ~ v2_cat_1(sP0_iProver_def)
| r4_nattra_1(sP1_iProver_def,u2_cat_1(X1),sP1_iProver_def,u2_cat_1(X1),k6_isocat_1(sK0,sP0_iProver_def,X1,sK3,sK5,sP3_iProver_def,X0),k8_nattra_1(sK0,X1,k2_isocat_1(sK0,sP0_iProver_def,X1,sK3,X0),k2_isocat_1(sK0,sP0_iProver_def,X1,sK4,X0),k2_isocat_1(sK0,sP0_iProver_def,X1,sK5,X0),k6_isocat_1(sK0,sP0_iProver_def,X1,sK3,sK4,sK6,X0),k6_isocat_1(sK0,sP0_iProver_def,X1,sK4,sK5,sK7,X0))) ),
inference(light_normalisation,[status(thm)],[c_53115,c_4238]) ).
cnf(c_53137,plain,
( ~ m2_cat_1(X0,sP0_iProver_def,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| r4_nattra_1(sP1_iProver_def,u2_cat_1(X1),sP1_iProver_def,u2_cat_1(X1),k6_isocat_1(sK0,sP0_iProver_def,X1,sK3,sK5,sP3_iProver_def,X0),k8_nattra_1(sK0,X1,k2_isocat_1(sK0,sP0_iProver_def,X1,sK3,X0),k2_isocat_1(sK0,sP0_iProver_def,X1,sK4,X0),k2_isocat_1(sK0,sP0_iProver_def,X1,sK5,X0),k6_isocat_1(sK0,sP0_iProver_def,X1,sK3,sK4,sK6,X0),k6_isocat_1(sK0,sP0_iProver_def,X1,sK4,sK5,sK7,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53136,c_51438,c_4256,c_51081,c_4257,c_4263,c_4264,c_4262,c_4266,c_4265,c_4268,c_4267]) ).
cnf(c_53791,plain,
( ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| k2_isocat_1(sK0,sP0_iProver_def,sK1,sK5,k8_isocat_2(sK1,sK2)) = k5_relat_1(sK5,k8_isocat_2(sK1,sK2)) ),
inference(superposition,[status(thm)],[c_51653,c_52142]) ).
cnf(c_53792,plain,
( ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| k2_isocat_1(sK0,sP0_iProver_def,sK2,sK5,k9_isocat_2(sK1,sK2)) = k5_relat_1(sK5,k9_isocat_2(sK1,sK2)) ),
inference(superposition,[status(thm)],[c_51780,c_52142]) ).
cnf(c_53793,plain,
k2_isocat_1(sK0,sP0_iProver_def,sK2,sK5,k9_isocat_2(sK1,sK2)) = k5_relat_1(sK5,k9_isocat_2(sK1,sK2)),
inference(forward_subsumption_resolution,[status(thm)],[c_53792,c_4260,c_4261]) ).
cnf(c_53794,plain,
k2_isocat_1(sK0,sP0_iProver_def,sK1,sK5,k8_isocat_2(sK1,sK2)) = k5_relat_1(sK5,k8_isocat_2(sK1,sK2)),
inference(forward_subsumption_resolution,[status(thm)],[c_53791,c_4258,c_4259]) ).
cnf(c_53835,plain,
( ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| k2_isocat_1(sK0,sP0_iProver_def,sK1,sK4,k8_isocat_2(sK1,sK2)) = k5_relat_1(sK4,k8_isocat_2(sK1,sK2)) ),
inference(superposition,[status(thm)],[c_51653,c_52147]) ).
cnf(c_53836,plain,
( ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| k2_isocat_1(sK0,sP0_iProver_def,sK2,sK4,k9_isocat_2(sK1,sK2)) = k5_relat_1(sK4,k9_isocat_2(sK1,sK2)) ),
inference(superposition,[status(thm)],[c_51780,c_52147]) ).
cnf(c_53837,plain,
k2_isocat_1(sK0,sP0_iProver_def,sK2,sK4,k9_isocat_2(sK1,sK2)) = k5_relat_1(sK4,k9_isocat_2(sK1,sK2)),
inference(forward_subsumption_resolution,[status(thm)],[c_53836,c_4260,c_4261]) ).
cnf(c_53838,plain,
k2_isocat_1(sK0,sP0_iProver_def,sK1,sK4,k8_isocat_2(sK1,sK2)) = k5_relat_1(sK4,k8_isocat_2(sK1,sK2)),
inference(forward_subsumption_resolution,[status(thm)],[c_53835,c_4258,c_4259]) ).
cnf(c_54440,plain,
( ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| k2_isocat_1(sK0,sP0_iProver_def,sK1,sK3,k8_isocat_2(sK1,sK2)) = k5_relat_1(sK3,k8_isocat_2(sK1,sK2)) ),
inference(superposition,[status(thm)],[c_51653,c_52152]) ).
cnf(c_54441,plain,
( ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| k2_isocat_1(sK0,sP0_iProver_def,sK2,sK3,k9_isocat_2(sK1,sK2)) = k5_relat_1(sK3,k9_isocat_2(sK1,sK2)) ),
inference(superposition,[status(thm)],[c_51780,c_52152]) ).
cnf(c_54442,plain,
k2_isocat_1(sK0,sP0_iProver_def,sK2,sK3,k9_isocat_2(sK1,sK2)) = k5_relat_1(sK3,k9_isocat_2(sK1,sK2)),
inference(forward_subsumption_resolution,[status(thm)],[c_54441,c_4260,c_4261]) ).
cnf(c_54443,plain,
k2_isocat_1(sK0,sP0_iProver_def,sK1,sK3,k8_isocat_2(sK1,sK2)) = k5_relat_1(sK3,k8_isocat_2(sK1,sK2)),
inference(forward_subsumption_resolution,[status(thm)],[c_54440,c_4258,c_4259]) ).
cnf(c_82441,plain,
( ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| k2_isocat_1(sK0,sP0_iProver_def,sK1,sK3,k8_isocat_2(sK1,sK2)) = k11_isocat_2(sK0,sK1,sK2,sK3) ),
inference(superposition,[status(thm)],[c_4262,c_52293]) ).
cnf(c_82442,plain,
( ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| k2_isocat_1(sK0,sP0_iProver_def,sK1,sK4,k8_isocat_2(sK1,sK2)) = k11_isocat_2(sK0,sK1,sK2,sK4) ),
inference(superposition,[status(thm)],[c_4263,c_52293]) ).
cnf(c_82443,plain,
( ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| k2_isocat_1(sK0,sP0_iProver_def,sK1,sK5,k8_isocat_2(sK1,sK2)) = k11_isocat_2(sK0,sK1,sK2,sK5) ),
inference(superposition,[status(thm)],[c_4264,c_52293]) ).
cnf(c_82453,plain,
( ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| k5_relat_1(sK5,k8_isocat_2(sK1,sK2)) = sP15_iProver_def ),
inference(light_normalisation,[status(thm)],[c_82443,c_4252,c_53794]) ).
cnf(c_82454,plain,
k5_relat_1(sK5,k8_isocat_2(sK1,sK2)) = sP15_iProver_def,
inference(forward_subsumption_resolution,[status(thm)],[c_82453,c_4256,c_4257]) ).
cnf(c_82455,plain,
( ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| k5_relat_1(sK4,k8_isocat_2(sK1,sK2)) = sP14_iProver_def ),
inference(light_normalisation,[status(thm)],[c_82442,c_4251,c_53838]) ).
cnf(c_82456,plain,
k5_relat_1(sK4,k8_isocat_2(sK1,sK2)) = sP14_iProver_def,
inference(forward_subsumption_resolution,[status(thm)],[c_82455,c_4256,c_4257]) ).
cnf(c_82457,plain,
( ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| k5_relat_1(sK3,k8_isocat_2(sK1,sK2)) = sP13_iProver_def ),
inference(light_normalisation,[status(thm)],[c_82441,c_4250,c_54443]) ).
cnf(c_82458,plain,
k5_relat_1(sK3,k8_isocat_2(sK1,sK2)) = sP13_iProver_def,
inference(forward_subsumption_resolution,[status(thm)],[c_82457,c_4256,c_4257]) ).
cnf(c_82539,plain,
k2_isocat_1(sK0,sP0_iProver_def,sK1,sK5,k8_isocat_2(sK1,sK2)) = sP15_iProver_def,
inference(demodulation,[status(thm)],[c_53794,c_82454]) ).
cnf(c_82543,plain,
k2_isocat_1(sK0,sP0_iProver_def,sK1,sK4,k8_isocat_2(sK1,sK2)) = sP14_iProver_def,
inference(demodulation,[status(thm)],[c_53838,c_82456]) ).
cnf(c_82547,plain,
k2_isocat_1(sK0,sP0_iProver_def,sK1,sK3,k8_isocat_2(sK1,sK2)) = sP13_iProver_def,
inference(demodulation,[status(thm)],[c_54443,c_82458]) ).
cnf(c_82797,plain,
( ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| k2_isocat_1(sK0,sP0_iProver_def,sK2,sK3,k9_isocat_2(sK1,sK2)) = k12_isocat_2(sK0,sK1,sK2,sK3) ),
inference(superposition,[status(thm)],[c_4262,c_52545]) ).
cnf(c_82798,plain,
( ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| k2_isocat_1(sK0,sP0_iProver_def,sK2,sK4,k9_isocat_2(sK1,sK2)) = k12_isocat_2(sK0,sK1,sK2,sK4) ),
inference(superposition,[status(thm)],[c_4263,c_52545]) ).
cnf(c_82799,plain,
( ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| k2_isocat_1(sK0,sP0_iProver_def,sK2,sK5,k9_isocat_2(sK1,sK2)) = k12_isocat_2(sK0,sK1,sK2,sK5) ),
inference(superposition,[status(thm)],[c_4264,c_52545]) ).
cnf(c_82809,plain,
( ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| k5_relat_1(sK5,k9_isocat_2(sK1,sK2)) = sP7_iProver_def ),
inference(light_normalisation,[status(thm)],[c_82799,c_4244,c_53793]) ).
cnf(c_82810,plain,
k5_relat_1(sK5,k9_isocat_2(sK1,sK2)) = sP7_iProver_def,
inference(forward_subsumption_resolution,[status(thm)],[c_82809,c_4256,c_4257]) ).
cnf(c_82811,plain,
( ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| k5_relat_1(sK4,k9_isocat_2(sK1,sK2)) = sP6_iProver_def ),
inference(light_normalisation,[status(thm)],[c_82798,c_4243,c_53837]) ).
cnf(c_82812,plain,
k5_relat_1(sK4,k9_isocat_2(sK1,sK2)) = sP6_iProver_def,
inference(forward_subsumption_resolution,[status(thm)],[c_82811,c_4256,c_4257]) ).
cnf(c_82813,plain,
( ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| k5_relat_1(sK3,k9_isocat_2(sK1,sK2)) = sP5_iProver_def ),
inference(light_normalisation,[status(thm)],[c_82797,c_4242,c_54442]) ).
cnf(c_82814,plain,
k5_relat_1(sK3,k9_isocat_2(sK1,sK2)) = sP5_iProver_def,
inference(forward_subsumption_resolution,[status(thm)],[c_82813,c_4256,c_4257]) ).
cnf(c_82895,plain,
k2_isocat_1(sK0,sP0_iProver_def,sK2,sK5,k9_isocat_2(sK1,sK2)) = sP7_iProver_def,
inference(demodulation,[status(thm)],[c_53793,c_82810]) ).
cnf(c_82899,plain,
k2_isocat_1(sK0,sP0_iProver_def,sK2,sK4,k9_isocat_2(sK1,sK2)) = sP6_iProver_def,
inference(demodulation,[status(thm)],[c_53837,c_82812]) ).
cnf(c_82903,plain,
k2_isocat_1(sK0,sP0_iProver_def,sK2,sK3,k9_isocat_2(sK1,sK2)) = sP5_iProver_def,
inference(demodulation,[status(thm)],[c_54442,c_82814]) ).
cnf(c_147239,plain,
( ~ m2_cat_1(sK3,sK0,sP0_iProver_def)
| ~ m2_cat_1(sK4,sK0,sP0_iProver_def)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| k6_isocat_1(sK0,sP0_iProver_def,sK1,sK3,sK4,sK6,k8_isocat_2(sK1,sK2)) = k13_isocat_2(sK0,sK1,sK2,sK3,sK4,sK6) ),
inference(superposition,[status(thm)],[c_4267,c_52867]) ).
cnf(c_147240,plain,
( ~ m2_cat_1(sK5,sK0,sP0_iProver_def)
| ~ m2_cat_1(sK4,sK0,sP0_iProver_def)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| k6_isocat_1(sK0,sP0_iProver_def,sK1,sK4,sK5,sK7,k8_isocat_2(sK1,sK2)) = k13_isocat_2(sK0,sK1,sK2,sK4,sK5,sK7) ),
inference(superposition,[status(thm)],[c_4268,c_52867]) ).
cnf(c_147241,plain,
( ~ m2_cat_1(sK3,sK0,sP0_iProver_def)
| ~ m2_cat_1(sK5,sK0,sP0_iProver_def)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| k6_isocat_1(sK0,sP0_iProver_def,sK1,sK3,sK5,sP3_iProver_def,k8_isocat_2(sK1,sK2)) = k13_isocat_2(sK0,sK1,sK2,sK3,sK5,sP3_iProver_def) ),
inference(superposition,[status(thm)],[c_52671,c_52867]) ).
cnf(c_147242,plain,
( ~ m2_cat_1(sK3,sK0,sP0_iProver_def)
| ~ m2_cat_1(sK5,sK0,sP0_iProver_def)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| k6_isocat_1(sK0,sP0_iProver_def,sK1,sK3,sK5,sP3_iProver_def,k8_isocat_2(sK1,sK2)) = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_147241,c_4249]) ).
cnf(c_147243,plain,
k6_isocat_1(sK0,sP0_iProver_def,sK1,sK3,sK5,sP3_iProver_def,k8_isocat_2(sK1,sK2)) = sP12_iProver_def,
inference(forward_subsumption_resolution,[status(thm)],[c_147242,c_4256,c_4257,c_4264,c_4262]) ).
cnf(c_147244,plain,
( ~ m2_cat_1(sK5,sK0,sP0_iProver_def)
| ~ m2_cat_1(sK4,sK0,sP0_iProver_def)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| k6_isocat_1(sK0,sP0_iProver_def,sK1,sK4,sK5,sK7,k8_isocat_2(sK1,sK2)) = sP17_iProver_def ),
inference(light_normalisation,[status(thm)],[c_147240,c_4254]) ).
cnf(c_147245,plain,
k6_isocat_1(sK0,sP0_iProver_def,sK1,sK4,sK5,sK7,k8_isocat_2(sK1,sK2)) = sP17_iProver_def,
inference(forward_subsumption_resolution,[status(thm)],[c_147244,c_4256,c_4257,c_4263,c_4264]) ).
cnf(c_147246,plain,
( ~ m2_cat_1(sK3,sK0,sP0_iProver_def)
| ~ m2_cat_1(sK4,sK0,sP0_iProver_def)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| k6_isocat_1(sK0,sP0_iProver_def,sK1,sK3,sK4,sK6,k8_isocat_2(sK1,sK2)) = sP16_iProver_def ),
inference(light_normalisation,[status(thm)],[c_147239,c_4253]) ).
cnf(c_147247,plain,
k6_isocat_1(sK0,sP0_iProver_def,sK1,sK3,sK4,sK6,k8_isocat_2(sK1,sK2)) = sP16_iProver_def,
inference(forward_subsumption_resolution,[status(thm)],[c_147246,c_4256,c_4257,c_4263,c_4262]) ).
cnf(c_147867,plain,
( ~ m2_cat_1(sK3,sK0,sP0_iProver_def)
| ~ m2_cat_1(sK4,sK0,sP0_iProver_def)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| k6_isocat_1(sK0,sP0_iProver_def,sK2,sK3,sK4,sK6,k9_isocat_2(sK1,sK2)) = k14_isocat_2(sK0,sK1,sK2,sK3,sK4,sK6) ),
inference(superposition,[status(thm)],[c_4267,c_52957]) ).
cnf(c_147868,plain,
( ~ m2_cat_1(sK5,sK0,sP0_iProver_def)
| ~ m2_cat_1(sK4,sK0,sP0_iProver_def)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| k6_isocat_1(sK0,sP0_iProver_def,sK2,sK4,sK5,sK7,k9_isocat_2(sK1,sK2)) = k14_isocat_2(sK0,sK1,sK2,sK4,sK5,sK7) ),
inference(superposition,[status(thm)],[c_4268,c_52957]) ).
cnf(c_147869,plain,
( ~ m2_cat_1(sK3,sK0,sP0_iProver_def)
| ~ m2_cat_1(sK5,sK0,sP0_iProver_def)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| k6_isocat_1(sK0,sP0_iProver_def,sK2,sK3,sK5,sP3_iProver_def,k9_isocat_2(sK1,sK2)) = k14_isocat_2(sK0,sK1,sK2,sK3,sK5,sP3_iProver_def) ),
inference(superposition,[status(thm)],[c_52671,c_52957]) ).
cnf(c_147870,plain,
( ~ m2_cat_1(sK3,sK0,sP0_iProver_def)
| ~ m2_cat_1(sK5,sK0,sP0_iProver_def)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| k6_isocat_1(sK0,sP0_iProver_def,sK2,sK3,sK5,sP3_iProver_def,k9_isocat_2(sK1,sK2)) = sP4_iProver_def ),
inference(light_normalisation,[status(thm)],[c_147869,c_4241]) ).
cnf(c_147871,plain,
k6_isocat_1(sK0,sP0_iProver_def,sK2,sK3,sK5,sP3_iProver_def,k9_isocat_2(sK1,sK2)) = sP4_iProver_def,
inference(forward_subsumption_resolution,[status(thm)],[c_147870,c_4256,c_4257,c_4264,c_4262]) ).
cnf(c_147872,plain,
( ~ m2_cat_1(sK5,sK0,sP0_iProver_def)
| ~ m2_cat_1(sK4,sK0,sP0_iProver_def)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| k6_isocat_1(sK0,sP0_iProver_def,sK2,sK4,sK5,sK7,k9_isocat_2(sK1,sK2)) = sP9_iProver_def ),
inference(light_normalisation,[status(thm)],[c_147868,c_4246]) ).
cnf(c_147873,plain,
k6_isocat_1(sK0,sP0_iProver_def,sK2,sK4,sK5,sK7,k9_isocat_2(sK1,sK2)) = sP9_iProver_def,
inference(forward_subsumption_resolution,[status(thm)],[c_147872,c_4256,c_4257,c_4263,c_4264]) ).
cnf(c_147874,plain,
( ~ m2_cat_1(sK3,sK0,sP0_iProver_def)
| ~ m2_cat_1(sK4,sK0,sP0_iProver_def)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| k6_isocat_1(sK0,sP0_iProver_def,sK2,sK3,sK4,sK6,k9_isocat_2(sK1,sK2)) = sP8_iProver_def ),
inference(light_normalisation,[status(thm)],[c_147867,c_4245]) ).
cnf(c_147875,plain,
k6_isocat_1(sK0,sP0_iProver_def,sK2,sK3,sK4,sK6,k9_isocat_2(sK1,sK2)) = sP8_iProver_def,
inference(forward_subsumption_resolution,[status(thm)],[c_147874,c_4256,c_4257,c_4263,c_4262]) ).
cnf(c_154495,plain,
( ~ m2_cat_1(k8_isocat_2(sK1,sK2),sP0_iProver_def,sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| r4_nattra_1(sP1_iProver_def,u2_cat_1(sK1),sP1_iProver_def,u2_cat_1(sK1),sP12_iProver_def,k8_nattra_1(sK0,sK1,k2_isocat_1(sK0,sP0_iProver_def,sK1,sK3,k8_isocat_2(sK1,sK2)),k2_isocat_1(sK0,sP0_iProver_def,sK1,sK4,k8_isocat_2(sK1,sK2)),k2_isocat_1(sK0,sP0_iProver_def,sK1,sK5,k8_isocat_2(sK1,sK2)),k6_isocat_1(sK0,sP0_iProver_def,sK1,sK3,sK4,sK6,k8_isocat_2(sK1,sK2)),k6_isocat_1(sK0,sP0_iProver_def,sK1,sK4,sK5,sK7,k8_isocat_2(sK1,sK2)))) ),
inference(superposition,[status(thm)],[c_147243,c_53137]) ).
cnf(c_154497,plain,
( ~ m2_cat_1(k8_isocat_2(sK1,sK2),sP0_iProver_def,sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| r4_nattra_1(sP1_iProver_def,sP11_iProver_def,sP1_iProver_def,sP11_iProver_def,sP12_iProver_def,sP18_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_154495,c_4248,c_4255,c_82539,c_82543,c_82547,c_147245,c_147247]) ).
cnf(c_154498,plain,
r4_nattra_1(sP1_iProver_def,sP11_iProver_def,sP1_iProver_def,sP11_iProver_def,sP12_iProver_def,sP18_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_154497,c_4258,c_4259,c_51653]) ).
cnf(c_154521,plain,
~ r4_nattra_1(sP1_iProver_def,sP2_iProver_def,sP1_iProver_def,sP2_iProver_def,sP4_iProver_def,sP10_iProver_def),
inference(backward_subsumption_resolution,[status(thm)],[c_4269,c_154498]) ).
cnf(c_154770,plain,
( ~ m2_cat_1(k9_isocat_2(sK1,sK2),sP0_iProver_def,sK2)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| r4_nattra_1(sP1_iProver_def,u2_cat_1(sK2),sP1_iProver_def,u2_cat_1(sK2),sP4_iProver_def,k8_nattra_1(sK0,sK2,k2_isocat_1(sK0,sP0_iProver_def,sK2,sK3,k9_isocat_2(sK1,sK2)),k2_isocat_1(sK0,sP0_iProver_def,sK2,sK4,k9_isocat_2(sK1,sK2)),k2_isocat_1(sK0,sP0_iProver_def,sK2,sK5,k9_isocat_2(sK1,sK2)),k6_isocat_1(sK0,sP0_iProver_def,sK2,sK3,sK4,sK6,k9_isocat_2(sK1,sK2)),k6_isocat_1(sK0,sP0_iProver_def,sK2,sK4,sK5,sK7,k9_isocat_2(sK1,sK2)))) ),
inference(superposition,[status(thm)],[c_147871,c_53137]) ).
cnf(c_154772,plain,
( ~ m2_cat_1(k9_isocat_2(sK1,sK2),sP0_iProver_def,sK2)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| r4_nattra_1(sP1_iProver_def,sP2_iProver_def,sP1_iProver_def,sP2_iProver_def,sP4_iProver_def,sP10_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_154770,c_4239,c_4247,c_82895,c_82899,c_82903,c_147873,c_147875]) ).
cnf(c_154773,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_154772,c_154521,c_4260,c_4261,c_51780]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.13 % Problem : CAT028+1 : TPTP v8.1.2. Released v3.4.0.
% 0.14/0.14 % Command : run_iprover %s %d THM
% 0.15/0.35 % Computer : n006.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu May 2 21:10:19 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.22/0.50 Running first-order theorem proving
% 0.22/0.50 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 70.48/10.26 % SZS status Started for theBenchmark.p
% 70.48/10.26 % SZS status Theorem for theBenchmark.p
% 70.48/10.26
% 70.48/10.26 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 70.48/10.26
% 70.48/10.26 ------ iProver source info
% 70.48/10.26
% 70.48/10.26 git: date: 2024-05-02 19:28:25 +0000
% 70.48/10.26 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 70.48/10.26 git: non_committed_changes: false
% 70.48/10.26
% 70.48/10.26 ------ Parsing...
% 70.48/10.26 ------ Clausification by vclausify_rel & Parsing by iProver...
% 70.48/10.26
% 70.48/10.26 ------ Preprocessing... sup_sim: 0 sf_s rm: 4 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e
% 70.48/10.26
% 70.48/10.26 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 70.48/10.26
% 70.48/10.26 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 70.48/10.26 ------ Proving...
% 70.48/10.26 ------ Problem Properties
% 70.48/10.26
% 70.48/10.26
% 70.48/10.26 clauses 97
% 70.48/10.26 conjectures 14
% 70.48/10.26 EPR 33
% 70.48/10.26 Horn 90
% 70.48/10.26 unary 43
% 70.48/10.26 binary 12
% 70.48/10.26 lits 375
% 70.48/10.26 lits eq 29
% 70.48/10.26 fd_pure 0
% 70.48/10.26 fd_pseudo 0
% 70.48/10.26 fd_cond 1
% 70.48/10.26 fd_pseudo_cond 2
% 70.48/10.26 AC symbols 0
% 70.48/10.26
% 70.48/10.26 ------ Schedule dynamic 5 is on
% 70.48/10.26
% 70.48/10.26 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 70.48/10.26
% 70.48/10.26
% 70.48/10.26 ------
% 70.48/10.26 Current options:
% 70.48/10.26 ------
% 70.48/10.26
% 70.48/10.26
% 70.48/10.26
% 70.48/10.26
% 70.48/10.26 ------ Proving...
% 70.48/10.26
% 70.48/10.26
% 70.48/10.26 % SZS status Theorem for theBenchmark.p
% 70.48/10.26
% 70.48/10.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 70.48/10.26
% 70.48/10.26
%------------------------------------------------------------------------------