TSTP Solution File: CAT026+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : CAT026+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n031.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 02:09:09 EDT 2024
% Result : Theorem 7.74s 1.67s
% Output : CNFRefutation 7.74s
% 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))
=> ( r2_nattra_1(X0,k11_cat_2(X1,X2),X3,X4)
=> ( r2_nattra_1(X0,X2,k12_isocat_2(X0,X1,X2,X3),k12_isocat_2(X0,X1,X2,X4))
& r2_nattra_1(X0,X1,k11_isocat_2(X0,X1,X2,X3),k11_isocat_2(X0,X1,X2,X4)) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t38_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))
=> ( r2_nattra_1(X0,k11_cat_2(X1,X2),X3,X4)
=> ( r2_nattra_1(X0,X2,k12_isocat_2(X0,X1,X2,X3),k12_isocat_2(X0,X1,X2,X4))
& r2_nattra_1(X0,X1,k11_isocat_2(X0,X1,X2,X3),k11_isocat_2(X0,X1,X2,X4)) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f35,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/sandbox/benchmark/theBenchmark.p',dt_k8_isocat_2) ).
fof(f36,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/sandbox/benchmark/theBenchmark.p',dt_k9_isocat_2) ).
fof(f39,axiom,
! [X0,X1,X2,X3] :
( ( 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) )
=> r2_nattra_1(X0,X1,X2,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r2_nattra_1) ).
fof(f41,axiom,
! [X0,X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1)
& l1_cat_1(X0)
& v2_cat_1(X0) )
=> ? [X2] : m2_cat_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m2_cat_1) ).
fof(f42,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/sandbox/benchmark/theBenchmark.p',redefinition_k2_isocat_1) ).
fof(f43,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/sandbox/benchmark/theBenchmark.p',dt_k11_cat_2) ).
fof(f49,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/sandbox/benchmark/theBenchmark.p',d7_isocat_2) ).
fof(f50,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/sandbox/benchmark/theBenchmark.p',d8_isocat_2) ).
fof(f51,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,X1)
=> ! [X4] :
( m2_cat_1(X4,X0,X1)
=> ! [X5] :
( m2_cat_1(X5,X1,X2)
=> ! [X6] :
( m2_cat_1(X6,X1,X2)
=> ( ( r2_nattra_1(X1,X2,X5,X6)
& r2_nattra_1(X0,X1,X3,X4) )
=> r2_nattra_1(X0,X2,k2_isocat_1(X0,X1,X2,X3,X5),k2_isocat_1(X0,X1,X2,X4,X6)) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t27_isocat_1) ).
fof(f56,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ( ~ r2_nattra_1(X0,X2,k12_isocat_2(X0,X1,X2,X3),k12_isocat_2(X0,X1,X2,X4))
| ~ r2_nattra_1(X0,X1,k11_isocat_2(X0,X1,X2,X3),k11_isocat_2(X0,X1,X2,X4)) )
& r2_nattra_1(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,[],[f2]) ).
fof(f57,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ( ~ r2_nattra_1(X0,X2,k12_isocat_2(X0,X1,X2,X3),k12_isocat_2(X0,X1,X2,X4))
| ~ r2_nattra_1(X0,X1,k11_isocat_2(X0,X1,X2,X3),k11_isocat_2(X0,X1,X2,X4)) )
& r2_nattra_1(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,[],[f56]) ).
fof(f83,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,[],[f35]) ).
fof(f84,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,[],[f83]) ).
fof(f85,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,[],[f36]) ).
fof(f86,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,[],[f85]) ).
fof(f89,plain,
! [X0,X1,X2,X3] :
( r2_nattra_1(X0,X1,X2,X2)
| ~ 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,[],[f39]) ).
fof(f90,plain,
! [X0,X1,X2,X3] :
( r2_nattra_1(X0,X1,X2,X2)
| ~ 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,[],[f89]) ).
fof(f91,plain,
! [X0,X1] :
( ? [X2] : 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,[],[f41]) ).
fof(f92,plain,
! [X0,X1] :
( ? [X2] : m2_cat_1(X2,X0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(flattening,[],[f91]) ).
fof(f93,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,[],[f42]) ).
fof(f94,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,[],[f93]) ).
fof(f95,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,[],[f43]) ).
fof(f96,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,[],[f95]) ).
fof(f105,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,[],[f49]) ).
fof(f106,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,[],[f105]) ).
fof(f107,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,[],[f50]) ).
fof(f108,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,[],[f107]) ).
fof(f109,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( r2_nattra_1(X0,X2,k2_isocat_1(X0,X1,X2,X3,X5),k2_isocat_1(X0,X1,X2,X4,X6))
| ~ r2_nattra_1(X1,X2,X5,X6)
| ~ r2_nattra_1(X0,X1,X3,X4)
| ~ m2_cat_1(X6,X1,X2) )
| ~ m2_cat_1(X5,X1,X2) )
| ~ m2_cat_1(X4,X0,X1) )
| ~ 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,[],[f51]) ).
fof(f110,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( r2_nattra_1(X0,X2,k2_isocat_1(X0,X1,X2,X3,X5),k2_isocat_1(X0,X1,X2,X4,X6))
| ~ r2_nattra_1(X1,X2,X5,X6)
| ~ r2_nattra_1(X0,X1,X3,X4)
| ~ m2_cat_1(X6,X1,X2) )
| ~ m2_cat_1(X5,X1,X2) )
| ~ m2_cat_1(X4,X0,X1) )
| ~ 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,[],[f109]) ).
fof(f111,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ( ~ r2_nattra_1(X0,X2,k12_isocat_2(X0,X1,X2,X3),k12_isocat_2(X0,X1,X2,X4))
| ~ r2_nattra_1(X0,X1,k11_isocat_2(X0,X1,X2,X3),k11_isocat_2(X0,X1,X2,X4)) )
& r2_nattra_1(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) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ( ~ r2_nattra_1(sK0,X2,k12_isocat_2(sK0,X1,X2,X3),k12_isocat_2(sK0,X1,X2,X4))
| ~ r2_nattra_1(sK0,X1,k11_isocat_2(sK0,X1,X2,X3),k11_isocat_2(sK0,X1,X2,X4)) )
& r2_nattra_1(sK0,k11_cat_2(X1,X2),X3,X4)
& 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(f112,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ( ~ r2_nattra_1(sK0,X2,k12_isocat_2(sK0,X1,X2,X3),k12_isocat_2(sK0,X1,X2,X4))
| ~ r2_nattra_1(sK0,X1,k11_isocat_2(sK0,X1,X2,X3),k11_isocat_2(sK0,X1,X2,X4)) )
& r2_nattra_1(sK0,k11_cat_2(X1,X2),X3,X4)
& 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] :
( ( ~ r2_nattra_1(sK0,X2,k12_isocat_2(sK0,sK1,X2,X3),k12_isocat_2(sK0,sK1,X2,X4))
| ~ r2_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,X2,X3),k11_isocat_2(sK0,sK1,X2,X4)) )
& r2_nattra_1(sK0,k11_cat_2(sK1,X2),X3,X4)
& 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(f113,plain,
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ( ~ r2_nattra_1(sK0,X2,k12_isocat_2(sK0,sK1,X2,X3),k12_isocat_2(sK0,sK1,X2,X4))
| ~ r2_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,X2,X3),k11_isocat_2(sK0,sK1,X2,X4)) )
& r2_nattra_1(sK0,k11_cat_2(sK1,X2),X3,X4)
& 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] :
( ( ~ r2_nattra_1(sK0,sK2,k12_isocat_2(sK0,sK1,sK2,X3),k12_isocat_2(sK0,sK1,sK2,X4))
| ~ r2_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,X3),k11_isocat_2(sK0,sK1,sK2,X4)) )
& r2_nattra_1(sK0,k11_cat_2(sK1,sK2),X3,X4)
& 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(f114,plain,
( ? [X3] :
( ? [X4] :
( ( ~ r2_nattra_1(sK0,sK2,k12_isocat_2(sK0,sK1,sK2,X3),k12_isocat_2(sK0,sK1,sK2,X4))
| ~ r2_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,X3),k11_isocat_2(sK0,sK1,sK2,X4)) )
& r2_nattra_1(sK0,k11_cat_2(sK1,sK2),X3,X4)
& m2_cat_1(X4,sK0,k11_cat_2(sK1,sK2)) )
& m2_cat_1(X3,sK0,k11_cat_2(sK1,sK2)) )
=> ( ? [X4] :
( ( ~ r2_nattra_1(sK0,sK2,k12_isocat_2(sK0,sK1,sK2,sK3),k12_isocat_2(sK0,sK1,sK2,X4))
| ~ r2_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,sK3),k11_isocat_2(sK0,sK1,sK2,X4)) )
& r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,X4)
& m2_cat_1(X4,sK0,k11_cat_2(sK1,sK2)) )
& m2_cat_1(sK3,sK0,k11_cat_2(sK1,sK2)) ) ),
introduced(choice_axiom,[]) ).
fof(f115,plain,
( ? [X4] :
( ( ~ r2_nattra_1(sK0,sK2,k12_isocat_2(sK0,sK1,sK2,sK3),k12_isocat_2(sK0,sK1,sK2,X4))
| ~ r2_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,sK3),k11_isocat_2(sK0,sK1,sK2,X4)) )
& r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,X4)
& m2_cat_1(X4,sK0,k11_cat_2(sK1,sK2)) )
=> ( ( ~ r2_nattra_1(sK0,sK2,k12_isocat_2(sK0,sK1,sK2,sK3),k12_isocat_2(sK0,sK1,sK2,sK4))
| ~ r2_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,sK3),k11_isocat_2(sK0,sK1,sK2,sK4)) )
& r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4)
& m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2)) ) ),
introduced(choice_axiom,[]) ).
fof(f116,plain,
( ( ~ r2_nattra_1(sK0,sK2,k12_isocat_2(sK0,sK1,sK2,sK3),k12_isocat_2(sK0,sK1,sK2,sK4))
| ~ r2_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,sK3),k11_isocat_2(sK0,sK1,sK2,sK4)) )
& r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4)
& 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])],[f57,f115,f114,f113,f112,f111]) ).
fof(f134,plain,
! [X0,X1] :
( ? [X2] : m2_cat_1(X2,X0,X1)
=> m2_cat_1(sK13(X0,X1),X0,X1) ),
introduced(choice_axiom,[]) ).
fof(f135,plain,
! [X0,X1] :
( m2_cat_1(sK13(X0,X1),X0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f92,f134]) ).
fof(f136,plain,
v2_cat_1(sK0),
inference(cnf_transformation,[],[f116]) ).
fof(f137,plain,
l1_cat_1(sK0),
inference(cnf_transformation,[],[f116]) ).
fof(f138,plain,
v2_cat_1(sK1),
inference(cnf_transformation,[],[f116]) ).
fof(f139,plain,
l1_cat_1(sK1),
inference(cnf_transformation,[],[f116]) ).
fof(f140,plain,
v2_cat_1(sK2),
inference(cnf_transformation,[],[f116]) ).
fof(f141,plain,
l1_cat_1(sK2),
inference(cnf_transformation,[],[f116]) ).
fof(f142,plain,
m2_cat_1(sK3,sK0,k11_cat_2(sK1,sK2)),
inference(cnf_transformation,[],[f116]) ).
fof(f143,plain,
m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2)),
inference(cnf_transformation,[],[f116]) ).
fof(f144,plain,
r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4),
inference(cnf_transformation,[],[f116]) ).
fof(f145,plain,
( ~ r2_nattra_1(sK0,sK2,k12_isocat_2(sK0,sK1,sK2,sK3),k12_isocat_2(sK0,sK1,sK2,sK4))
| ~ r2_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,sK3),k11_isocat_2(sK0,sK1,sK2,sK4)) ),
inference(cnf_transformation,[],[f116]) ).
fof(f176,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,[],[f84]) ).
fof(f177,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,[],[f86]) ).
fof(f180,plain,
! [X2,X3,X0,X1] :
( r2_nattra_1(X0,X1,X2,X2)
| ~ 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,[],[f90]) ).
fof(f182,plain,
! [X0,X1] :
( m2_cat_1(sK13(X0,X1),X0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f183,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,[],[f94]) ).
fof(f184,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,[],[f96]) ).
fof(f185,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,[],[f96]) ).
fof(f190,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,[],[f106]) ).
fof(f191,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,[],[f108]) ).
fof(f192,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( r2_nattra_1(X0,X2,k2_isocat_1(X0,X1,X2,X3,X5),k2_isocat_1(X0,X1,X2,X4,X6))
| ~ r2_nattra_1(X1,X2,X5,X6)
| ~ r2_nattra_1(X0,X1,X3,X4)
| ~ m2_cat_1(X6,X1,X2)
| ~ m2_cat_1(X5,X1,X2)
| ~ m2_cat_1(X4,X0,X1)
| ~ 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,[],[f110]) ).
cnf(c_49,negated_conjecture,
( ~ r2_nattra_1(sK0,sK2,k12_isocat_2(sK0,sK1,sK2,sK3),k12_isocat_2(sK0,sK1,sK2,sK4))
| ~ r2_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,sK3),k11_isocat_2(sK0,sK1,sK2,sK4)) ),
inference(cnf_transformation,[],[f145]) ).
cnf(c_50,negated_conjecture,
r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4),
inference(cnf_transformation,[],[f144]) ).
cnf(c_51,negated_conjecture,
m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2)),
inference(cnf_transformation,[],[f143]) ).
cnf(c_52,negated_conjecture,
m2_cat_1(sK3,sK0,k11_cat_2(sK1,sK2)),
inference(cnf_transformation,[],[f142]) ).
cnf(c_53,negated_conjecture,
l1_cat_1(sK2),
inference(cnf_transformation,[],[f141]) ).
cnf(c_54,negated_conjecture,
v2_cat_1(sK2),
inference(cnf_transformation,[],[f140]) ).
cnf(c_55,negated_conjecture,
l1_cat_1(sK1),
inference(cnf_transformation,[],[f139]) ).
cnf(c_56,negated_conjecture,
v2_cat_1(sK1),
inference(cnf_transformation,[],[f138]) ).
cnf(c_57,negated_conjecture,
l1_cat_1(sK0),
inference(cnf_transformation,[],[f137]) ).
cnf(c_58,negated_conjecture,
v2_cat_1(sK0),
inference(cnf_transformation,[],[f136]) ).
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,[],[f176]) ).
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,[],[f177]) ).
cnf(c_93,plain,
( ~ m2_cat_1(X0,X1,X2)
| ~ m2_cat_1(X3,X1,X2)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X2)
| r2_nattra_1(X1,X2,X0,X0) ),
inference(cnf_transformation,[],[f180]) ).
cnf(c_95,plain,
( ~ l1_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X0)
| ~ v2_cat_1(X1)
| m2_cat_1(sK13(X0,X1),X0,X1) ),
inference(cnf_transformation,[],[f182]) ).
cnf(c_96,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,[],[f183]) ).
cnf(c_97,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,[],[f185]) ).
cnf(c_98,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,[],[f184]) ).
cnf(c_103,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,[],[f190]) ).
cnf(c_104,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,[],[f191]) ).
cnf(c_105,plain,
( ~ r2_nattra_1(X0,X1,X2,X3)
| ~ r2_nattra_1(X1,X4,X5,X6)
| ~ m2_cat_1(X2,X0,X1)
| ~ m2_cat_1(X3,X0,X1)
| ~ m2_cat_1(X5,X1,X4)
| ~ m2_cat_1(X6,X1,X4)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X4)
| r2_nattra_1(X0,X4,k2_isocat_1(X0,X1,X4,X2,X5),k2_isocat_1(X0,X1,X4,X3,X6)) ),
inference(cnf_transformation,[],[f192]) ).
cnf(c_1720,plain,
k11_cat_2(sK1,sK2) = sP0_iProver_def,
definition ).
cnf(c_1721,plain,
k12_isocat_2(sK0,sK1,sK2,sK3) = sP1_iProver_def,
definition ).
cnf(c_1722,plain,
k12_isocat_2(sK0,sK1,sK2,sK4) = sP2_iProver_def,
definition ).
cnf(c_1723,plain,
k11_isocat_2(sK0,sK1,sK2,sK3) = sP3_iProver_def,
definition ).
cnf(c_1724,plain,
k11_isocat_2(sK0,sK1,sK2,sK4) = sP4_iProver_def,
definition ).
cnf(c_1725,negated_conjecture,
v2_cat_1(sK0),
inference(demodulation,[status(thm)],[c_58]) ).
cnf(c_1726,negated_conjecture,
l1_cat_1(sK0),
inference(demodulation,[status(thm)],[c_57]) ).
cnf(c_1727,negated_conjecture,
v2_cat_1(sK1),
inference(demodulation,[status(thm)],[c_56]) ).
cnf(c_1728,negated_conjecture,
l1_cat_1(sK1),
inference(demodulation,[status(thm)],[c_55]) ).
cnf(c_1729,negated_conjecture,
v2_cat_1(sK2),
inference(demodulation,[status(thm)],[c_54]) ).
cnf(c_1730,negated_conjecture,
l1_cat_1(sK2),
inference(demodulation,[status(thm)],[c_53]) ).
cnf(c_1731,negated_conjecture,
m2_cat_1(sK3,sK0,sP0_iProver_def),
inference(demodulation,[status(thm)],[c_52,c_1720]) ).
cnf(c_1732,negated_conjecture,
m2_cat_1(sK4,sK0,sP0_iProver_def),
inference(demodulation,[status(thm)],[c_51]) ).
cnf(c_1733,negated_conjecture,
r2_nattra_1(sK0,sP0_iProver_def,sK3,sK4),
inference(demodulation,[status(thm)],[c_50]) ).
cnf(c_1734,negated_conjecture,
( ~ r2_nattra_1(sK0,sK2,sP1_iProver_def,sP2_iProver_def)
| ~ r2_nattra_1(sK0,sK1,sP3_iProver_def,sP4_iProver_def) ),
inference(demodulation,[status(thm)],[c_49,c_1724,c_1723,c_1722,c_1721]) ).
cnf(c_2824,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_1720,c_97]) ).
cnf(c_2825,plain,
l1_cat_1(sP0_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_2824,c_1727,c_1729,c_1728,c_1730]) ).
cnf(c_2910,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_1720,c_98]) ).
cnf(c_2911,plain,
v2_cat_1(sP0_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_2910,c_1727,c_1729,c_1728,c_1730]) ).
cnf(c_3083,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_1720,c_89]) ).
cnf(c_3084,plain,
m2_cat_1(k8_isocat_2(sK1,sK2),sP0_iProver_def,sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_3083,c_1727,c_1729,c_1728,c_1730]) ).
cnf(c_3095,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_1720,c_90]) ).
cnf(c_3096,plain,
m2_cat_1(k9_isocat_2(sK1,sK2),sP0_iProver_def,sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_3095,c_1727,c_1729,c_1728,c_1730]) ).
cnf(c_3115,plain,
( ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X2)
| r2_nattra_1(X1,X2,X0,X0) ),
inference(superposition,[status(thm)],[c_95,c_93]) ).
cnf(c_3286,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_1731,c_96]) ).
cnf(c_3287,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_1732,c_96]) ).
cnf(c_3309,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_3287,c_2911,c_1725,c_2825,c_1726]) ).
cnf(c_3314,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_3286,c_2911,c_1725,c_2825,c_1726]) ).
cnf(c_3538,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_1720,c_103]) ).
cnf(c_3539,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_3538,c_1720]) ).
cnf(c_3540,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_3539,c_1727,c_1729,c_1728,c_1730]) ).
cnf(c_3798,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_1720,c_104]) ).
cnf(c_3799,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_3798,c_1720]) ).
cnf(c_3800,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_3799,c_1727,c_1729,c_1728,c_1730]) ).
cnf(c_4957,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_3084,c_3309]) ).
cnf(c_4958,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_3096,c_3309]) ).
cnf(c_4959,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_4958,c_1729,c_1730]) ).
cnf(c_4960,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_4957,c_1727,c_1728]) ).
cnf(c_5373,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_3084,c_3314]) ).
cnf(c_5374,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_3096,c_3314]) ).
cnf(c_5375,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_5374,c_1729,c_1730]) ).
cnf(c_5376,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_5373,c_1727,c_1728]) ).
cnf(c_7942,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_1731,c_3540]) ).
cnf(c_7943,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_1732,c_3540]) ).
cnf(c_7952,plain,
( ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| k5_relat_1(sK4,k8_isocat_2(sK1,sK2)) = sP4_iProver_def ),
inference(light_normalisation,[status(thm)],[c_7943,c_1724,c_4960]) ).
cnf(c_7953,plain,
k5_relat_1(sK4,k8_isocat_2(sK1,sK2)) = sP4_iProver_def,
inference(forward_subsumption_resolution,[status(thm)],[c_7952,c_1725,c_1726]) ).
cnf(c_7954,plain,
( ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| k5_relat_1(sK3,k8_isocat_2(sK1,sK2)) = sP3_iProver_def ),
inference(light_normalisation,[status(thm)],[c_7942,c_1723,c_5376]) ).
cnf(c_7955,plain,
k5_relat_1(sK3,k8_isocat_2(sK1,sK2)) = sP3_iProver_def,
inference(forward_subsumption_resolution,[status(thm)],[c_7954,c_1725,c_1726]) ).
cnf(c_8031,plain,
k2_isocat_1(sK0,sP0_iProver_def,sK1,sK4,k8_isocat_2(sK1,sK2)) = sP4_iProver_def,
inference(demodulation,[status(thm)],[c_4960,c_7953]) ).
cnf(c_8033,plain,
k2_isocat_1(sK0,sP0_iProver_def,sK1,sK3,k8_isocat_2(sK1,sK2)) = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_5376,c_7955]) ).
cnf(c_8198,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_1731,c_3800]) ).
cnf(c_8199,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_1732,c_3800]) ).
cnf(c_8208,plain,
( ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| k5_relat_1(sK4,k9_isocat_2(sK1,sK2)) = sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_8199,c_1722,c_4959]) ).
cnf(c_8209,plain,
k5_relat_1(sK4,k9_isocat_2(sK1,sK2)) = sP2_iProver_def,
inference(forward_subsumption_resolution,[status(thm)],[c_8208,c_1725,c_1726]) ).
cnf(c_8210,plain,
( ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| k5_relat_1(sK3,k9_isocat_2(sK1,sK2)) = sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_8198,c_1721,c_5375]) ).
cnf(c_8211,plain,
k5_relat_1(sK3,k9_isocat_2(sK1,sK2)) = sP1_iProver_def,
inference(forward_subsumption_resolution,[status(thm)],[c_8210,c_1725,c_1726]) ).
cnf(c_8287,plain,
k2_isocat_1(sK0,sP0_iProver_def,sK2,sK4,k9_isocat_2(sK1,sK2)) = sP2_iProver_def,
inference(demodulation,[status(thm)],[c_4959,c_8209]) ).
cnf(c_8289,plain,
k2_isocat_1(sK0,sP0_iProver_def,sK2,sK3,k9_isocat_2(sK1,sK2)) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_5375,c_8211]) ).
cnf(c_8572,plain,
( ~ r2_nattra_1(sP0_iProver_def,sK1,X0,k8_isocat_2(sK1,sK2))
| ~ m2_cat_1(k8_isocat_2(sK1,sK2),sP0_iProver_def,sK1)
| ~ r2_nattra_1(sK0,sP0_iProver_def,X1,sK4)
| ~ m2_cat_1(X0,sP0_iProver_def,sK1)
| ~ m2_cat_1(X1,sK0,sP0_iProver_def)
| ~ m2_cat_1(sK4,sK0,sP0_iProver_def)
| ~ l1_cat_1(sK0)
| ~ l1_cat_1(sK1)
| ~ l1_cat_1(sP0_iProver_def)
| ~ v2_cat_1(sK0)
| ~ v2_cat_1(sK1)
| ~ v2_cat_1(sP0_iProver_def)
| r2_nattra_1(sK0,sK1,k2_isocat_1(sK0,sP0_iProver_def,sK1,X1,X0),sP4_iProver_def) ),
inference(superposition,[status(thm)],[c_8031,c_105]) ).
cnf(c_8573,plain,
( ~ r2_nattra_1(sP0_iProver_def,sK1,X0,k8_isocat_2(sK1,sK2))
| ~ r2_nattra_1(sK0,sP0_iProver_def,X1,sK4)
| ~ m2_cat_1(X0,sP0_iProver_def,sK1)
| ~ m2_cat_1(X1,sK0,sP0_iProver_def)
| r2_nattra_1(sK0,sK1,k2_isocat_1(sK0,sP0_iProver_def,sK1,X1,X0),sP4_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8572,c_2911,c_1727,c_1725,c_2825,c_1728,c_1726,c_1732,c_3084]) ).
cnf(c_8903,plain,
( ~ r2_nattra_1(sP0_iProver_def,sK2,X0,k9_isocat_2(sK1,sK2))
| ~ m2_cat_1(k9_isocat_2(sK1,sK2),sP0_iProver_def,sK2)
| ~ r2_nattra_1(sK0,sP0_iProver_def,X1,sK4)
| ~ m2_cat_1(X0,sP0_iProver_def,sK2)
| ~ m2_cat_1(X1,sK0,sP0_iProver_def)
| ~ m2_cat_1(sK4,sK0,sP0_iProver_def)
| ~ l1_cat_1(sK0)
| ~ l1_cat_1(sK2)
| ~ l1_cat_1(sP0_iProver_def)
| ~ v2_cat_1(sK0)
| ~ v2_cat_1(sK2)
| ~ v2_cat_1(sP0_iProver_def)
| r2_nattra_1(sK0,sK2,k2_isocat_1(sK0,sP0_iProver_def,sK2,X1,X0),sP2_iProver_def) ),
inference(superposition,[status(thm)],[c_8287,c_105]) ).
cnf(c_8904,plain,
( ~ r2_nattra_1(sP0_iProver_def,sK2,X0,k9_isocat_2(sK1,sK2))
| ~ r2_nattra_1(sK0,sP0_iProver_def,X1,sK4)
| ~ m2_cat_1(X0,sP0_iProver_def,sK2)
| ~ m2_cat_1(X1,sK0,sP0_iProver_def)
| r2_nattra_1(sK0,sK2,k2_isocat_1(sK0,sP0_iProver_def,sK2,X1,X0),sP2_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8903,c_2911,c_1729,c_1725,c_2825,c_1730,c_1726,c_1732,c_3096]) ).
cnf(c_11636,plain,
( ~ r2_nattra_1(sP0_iProver_def,sK1,k8_isocat_2(sK1,sK2),k8_isocat_2(sK1,sK2))
| ~ m2_cat_1(k8_isocat_2(sK1,sK2),sP0_iProver_def,sK1)
| ~ r2_nattra_1(sK0,sP0_iProver_def,sK3,sK4)
| ~ m2_cat_1(sK3,sK0,sP0_iProver_def)
| r2_nattra_1(sK0,sK1,sP3_iProver_def,sP4_iProver_def) ),
inference(superposition,[status(thm)],[c_8033,c_8573]) ).
cnf(c_11641,plain,
( ~ r2_nattra_1(sP0_iProver_def,sK1,k8_isocat_2(sK1,sK2),k8_isocat_2(sK1,sK2))
| r2_nattra_1(sK0,sK1,sP3_iProver_def,sP4_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11636,c_1731,c_1733,c_3084]) ).
cnf(c_11670,plain,
( ~ m2_cat_1(k8_isocat_2(sK1,sK2),sP0_iProver_def,sK1)
| ~ l1_cat_1(sK1)
| ~ l1_cat_1(sP0_iProver_def)
| ~ v2_cat_1(sK1)
| ~ v2_cat_1(sP0_iProver_def)
| r2_nattra_1(sK0,sK1,sP3_iProver_def,sP4_iProver_def) ),
inference(superposition,[status(thm)],[c_3115,c_11641]) ).
cnf(c_11671,plain,
r2_nattra_1(sK0,sK1,sP3_iProver_def,sP4_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_11670,c_2911,c_1727,c_2825,c_1728,c_3084]) ).
cnf(c_11673,plain,
~ r2_nattra_1(sK0,sK2,sP1_iProver_def,sP2_iProver_def),
inference(backward_subsumption_resolution,[status(thm)],[c_1734,c_11671]) ).
cnf(c_12079,plain,
( ~ r2_nattra_1(sP0_iProver_def,sK2,k9_isocat_2(sK1,sK2),k9_isocat_2(sK1,sK2))
| ~ m2_cat_1(k9_isocat_2(sK1,sK2),sP0_iProver_def,sK2)
| ~ r2_nattra_1(sK0,sP0_iProver_def,sK3,sK4)
| ~ m2_cat_1(sK3,sK0,sP0_iProver_def)
| r2_nattra_1(sK0,sK2,sP1_iProver_def,sP2_iProver_def) ),
inference(superposition,[status(thm)],[c_8289,c_8904]) ).
cnf(c_12084,plain,
~ r2_nattra_1(sP0_iProver_def,sK2,k9_isocat_2(sK1,sK2),k9_isocat_2(sK1,sK2)),
inference(forward_subsumption_resolution,[status(thm)],[c_12079,c_11673,c_1731,c_1733,c_3096]) ).
cnf(c_12124,plain,
( ~ m2_cat_1(k9_isocat_2(sK1,sK2),sP0_iProver_def,sK2)
| ~ l1_cat_1(sK2)
| ~ l1_cat_1(sP0_iProver_def)
| ~ v2_cat_1(sK2)
| ~ v2_cat_1(sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_3115,c_12084]) ).
cnf(c_12125,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_12124,c_2911,c_1729,c_2825,c_1730,c_3096]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : CAT026+1 : TPTP v8.1.2. Released v3.4.0.
% 0.12/0.13 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n031.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 2 21:48:46 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 7.74/1.67 % SZS status Started for theBenchmark.p
% 7.74/1.67 % SZS status Theorem for theBenchmark.p
% 7.74/1.67
% 7.74/1.67 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.74/1.67
% 7.74/1.67 ------ iProver source info
% 7.74/1.67
% 7.74/1.67 git: date: 2024-05-02 19:28:25 +0000
% 7.74/1.67 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.74/1.67 git: non_committed_changes: false
% 7.74/1.67
% 7.74/1.67 ------ Parsing...
% 7.74/1.67 ------ Clausification by vclausify_rel & Parsing by iProver...
% 7.74/1.67
% 7.74/1.67 ------ 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: 4 0s sf_e pe_s pe_e
% 7.74/1.67
% 7.74/1.67 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.74/1.67
% 7.74/1.67 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 7.74/1.67 ------ Proving...
% 7.74/1.67 ------ Problem Properties
% 7.74/1.67
% 7.74/1.67
% 7.74/1.67 clauses 56
% 7.74/1.67 conjectures 10
% 7.74/1.67 EPR 21
% 7.74/1.67 Horn 53
% 7.74/1.67 unary 25
% 7.74/1.67 binary 8
% 7.74/1.67 lits 177
% 7.74/1.67 lits eq 12
% 7.74/1.67 fd_pure 0
% 7.74/1.67 fd_pseudo 0
% 7.74/1.67 fd_cond 1
% 7.74/1.67 fd_pseudo_cond 1
% 7.74/1.67 AC symbols 0
% 7.74/1.67
% 7.74/1.67 ------ Schedule dynamic 5 is on
% 7.74/1.67
% 7.74/1.67 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.74/1.67
% 7.74/1.67
% 7.74/1.67 ------
% 7.74/1.67 Current options:
% 7.74/1.67 ------
% 7.74/1.67
% 7.74/1.67
% 7.74/1.67
% 7.74/1.67
% 7.74/1.67 ------ Proving...
% 7.74/1.67
% 7.74/1.67
% 7.74/1.67 % SZS status Theorem for theBenchmark.p
% 7.74/1.67
% 7.74/1.67 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.74/1.67
% 7.74/1.68
%------------------------------------------------------------------------------