TSTP Solution File: LAT345+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : LAT345+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n028.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 02:35:24 EDT 2024
% Result : Theorem 10.01s 2.20s
% Output : CNFRefutation 10.01s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( l2_conlat_1(X0)
& v4_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> ! [X1] :
( ( l3_conlat_1(X1,X0)
& v9_conlat_1(X1,X0)
& ~ v7_conlat_1(X1,X0)
& v6_conlat_1(X1,X0) )
=> k9_conlat_2(k7_conlat_2(X0),k9_conlat_2(X0,X1)) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_conlat_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l2_conlat_1(X0)
& v4_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> ! [X1] :
( ( l3_conlat_1(X1,X0)
& v9_conlat_1(X1,X0)
& ~ v7_conlat_1(X1,X0)
& v6_conlat_1(X1,X0) )
=> k9_conlat_2(k7_conlat_2(X0),k9_conlat_2(X0,X1)) = X1 ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f3,axiom,
! [X0] :
( l2_conlat_1(X0)
=> ( v4_conlat_1(X0)
=> g2_conlat_1(u1_conlat_1(X0),u2_conlat_1(X0),u3_conlat_1(X0)) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abstractness_v4_conlat_1) ).
fof(f4,axiom,
! [X0,X1] :
( ( l3_conlat_1(X1,X0)
& l1_conlat_1(X0) )
=> ( v6_conlat_1(X1,X0)
=> g3_conlat_1(X0,u4_conlat_1(X0,X1),u5_conlat_1(X0,X1)) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abstractness_v6_conlat_1) ).
fof(f6,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> v1_relat_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f8,axiom,
! [X0] :
( ( l2_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> k7_conlat_2(X0) = g2_conlat_1(u2_conlat_1(X0),u1_conlat_1(X0),k6_relset_1(u1_conlat_1(X0),u2_conlat_1(X0),u3_conlat_1(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d7_conlat_2) ).
fof(f9,axiom,
! [X0] :
( ( l2_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> ! [X1] :
( l3_conlat_1(X1,X0)
=> ! [X2] :
( ( l3_conlat_1(X2,k7_conlat_2(X0))
& v6_conlat_1(X2,k7_conlat_2(X0)) )
=> ( k8_conlat_2(X0,X1) = X2
<=> ( u4_conlat_1(X0,X1) = u5_conlat_1(k7_conlat_2(X0),X2)
& u5_conlat_1(X0,X1) = u4_conlat_1(k7_conlat_2(X0),X2) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_conlat_2) ).
fof(f16,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_relset_1) ).
fof(f17,axiom,
! [X0] :
( ( l2_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> ( l2_conlat_1(k7_conlat_2(X0))
& v4_conlat_1(k7_conlat_2(X0))
& ~ v3_conlat_1(k7_conlat_2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_conlat_2) ).
fof(f18,axiom,
! [X0,X1] :
( ( l3_conlat_1(X1,X0)
& l2_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> ( l3_conlat_1(k8_conlat_2(X0,X1),k7_conlat_2(X0))
& v6_conlat_1(k8_conlat_2(X0,X1),k7_conlat_2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_conlat_2) ).
fof(f19,axiom,
! [X0,X1] :
( ( l3_conlat_1(X1,X0)
& v9_conlat_1(X1,X0)
& ~ v7_conlat_1(X1,X0)
& l2_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> ( l3_conlat_1(k9_conlat_2(X0,X1),k7_conlat_2(X0))
& v9_conlat_1(k9_conlat_2(X0,X1),k7_conlat_2(X0))
& ~ v7_conlat_1(k9_conlat_2(X0,X1),k7_conlat_2(X0))
& v6_conlat_1(k9_conlat_2(X0,X1),k7_conlat_2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k9_conlat_2) ).
fof(f21,axiom,
! [X0] :
( l2_conlat_1(X0)
=> l1_conlat_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l2_conlat_1) ).
fof(f25,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f28,axiom,
! [X0] :
( l2_conlat_1(X0)
=> m2_relset_1(u3_conlat_1(X0),u1_conlat_1(X0),u2_conlat_1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u3_conlat_1) ).
fof(f42,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> ! [X3,X4,X5] :
( g2_conlat_1(X0,X1,X2) = g2_conlat_1(X3,X4,X5)
=> ( X2 = X5
& X1 = X4
& X0 = X3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',free_g2_conlat_1) ).
fof(f44,axiom,
! [X0] :
( v1_relat_1(X0)
=> k4_relat_1(k4_relat_1(X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',involutiveness_k4_relat_1) ).
fof(f59,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> k6_relset_1(X0,X1,X2) = k4_relat_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k6_relset_1) ).
fof(f60,axiom,
! [X0,X1] :
( ( l3_conlat_1(X1,X0)
& v9_conlat_1(X1,X0)
& ~ v7_conlat_1(X1,X0)
& l2_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> k9_conlat_2(X0,X1) = k8_conlat_2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k9_conlat_2) ).
fof(f61,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f75,plain,
? [X0] :
( ? [X1] :
( k9_conlat_2(k7_conlat_2(X0),k9_conlat_2(X0,X1)) != X1
& l3_conlat_1(X1,X0)
& v9_conlat_1(X1,X0)
& ~ v7_conlat_1(X1,X0)
& v6_conlat_1(X1,X0) )
& l2_conlat_1(X0)
& v4_conlat_1(X0)
& ~ v3_conlat_1(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f76,plain,
? [X0] :
( ? [X1] :
( k9_conlat_2(k7_conlat_2(X0),k9_conlat_2(X0,X1)) != X1
& l3_conlat_1(X1,X0)
& v9_conlat_1(X1,X0)
& ~ v7_conlat_1(X1,X0)
& v6_conlat_1(X1,X0) )
& l2_conlat_1(X0)
& v4_conlat_1(X0)
& ~ v3_conlat_1(X0) ),
inference(flattening,[],[f75]) ).
fof(f77,plain,
! [X0] :
( g2_conlat_1(u1_conlat_1(X0),u2_conlat_1(X0),u3_conlat_1(X0)) = X0
| ~ v4_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f78,plain,
! [X0] :
( g2_conlat_1(u1_conlat_1(X0),u2_conlat_1(X0),u3_conlat_1(X0)) = X0
| ~ v4_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(flattening,[],[f77]) ).
fof(f79,plain,
! [X0,X1] :
( g3_conlat_1(X0,u4_conlat_1(X0,X1),u5_conlat_1(X0,X1)) = X1
| ~ v6_conlat_1(X1,X0)
| ~ l3_conlat_1(X1,X0)
| ~ l1_conlat_1(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f80,plain,
! [X0,X1] :
( g3_conlat_1(X0,u4_conlat_1(X0,X1),u5_conlat_1(X0,X1)) = X1
| ~ v6_conlat_1(X1,X0)
| ~ l3_conlat_1(X1,X0)
| ~ l1_conlat_1(X0) ),
inference(flattening,[],[f79]) ).
fof(f82,plain,
! [X0,X1,X2] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f6]) ).
fof(f83,plain,
! [X0] :
( k7_conlat_2(X0) = g2_conlat_1(u2_conlat_1(X0),u1_conlat_1(X0),k6_relset_1(u1_conlat_1(X0),u2_conlat_1(X0),u3_conlat_1(X0)))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f84,plain,
! [X0] :
( k7_conlat_2(X0) = g2_conlat_1(u2_conlat_1(X0),u1_conlat_1(X0),k6_relset_1(u1_conlat_1(X0),u2_conlat_1(X0),u3_conlat_1(X0)))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(flattening,[],[f83]) ).
fof(f85,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( k8_conlat_2(X0,X1) = X2
<=> ( u4_conlat_1(X0,X1) = u5_conlat_1(k7_conlat_2(X0),X2)
& u5_conlat_1(X0,X1) = u4_conlat_1(k7_conlat_2(X0),X2) ) )
| ~ l3_conlat_1(X2,k7_conlat_2(X0))
| ~ v6_conlat_1(X2,k7_conlat_2(X0)) )
| ~ l3_conlat_1(X1,X0) )
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f86,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( k8_conlat_2(X0,X1) = X2
<=> ( u4_conlat_1(X0,X1) = u5_conlat_1(k7_conlat_2(X0),X2)
& u5_conlat_1(X0,X1) = u4_conlat_1(k7_conlat_2(X0),X2) ) )
| ~ l3_conlat_1(X2,k7_conlat_2(X0))
| ~ v6_conlat_1(X2,k7_conlat_2(X0)) )
| ~ l3_conlat_1(X1,X0) )
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(flattening,[],[f85]) ).
fof(f91,plain,
! [X0,X1,X2] :
( m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f92,plain,
! [X0] :
( ( l2_conlat_1(k7_conlat_2(X0))
& v4_conlat_1(k7_conlat_2(X0))
& ~ v3_conlat_1(k7_conlat_2(X0)) )
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f93,plain,
! [X0] :
( ( l2_conlat_1(k7_conlat_2(X0))
& v4_conlat_1(k7_conlat_2(X0))
& ~ v3_conlat_1(k7_conlat_2(X0)) )
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(flattening,[],[f92]) ).
fof(f94,plain,
! [X0,X1] :
( ( l3_conlat_1(k8_conlat_2(X0,X1),k7_conlat_2(X0))
& v6_conlat_1(k8_conlat_2(X0,X1),k7_conlat_2(X0)) )
| ~ l3_conlat_1(X1,X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f95,plain,
! [X0,X1] :
( ( l3_conlat_1(k8_conlat_2(X0,X1),k7_conlat_2(X0))
& v6_conlat_1(k8_conlat_2(X0,X1),k7_conlat_2(X0)) )
| ~ l3_conlat_1(X1,X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(flattening,[],[f94]) ).
fof(f96,plain,
! [X0,X1] :
( ( l3_conlat_1(k9_conlat_2(X0,X1),k7_conlat_2(X0))
& v9_conlat_1(k9_conlat_2(X0,X1),k7_conlat_2(X0))
& ~ v7_conlat_1(k9_conlat_2(X0,X1),k7_conlat_2(X0))
& v6_conlat_1(k9_conlat_2(X0,X1),k7_conlat_2(X0)) )
| ~ l3_conlat_1(X1,X0)
| ~ v9_conlat_1(X1,X0)
| v7_conlat_1(X1,X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f97,plain,
! [X0,X1] :
( ( l3_conlat_1(k9_conlat_2(X0,X1),k7_conlat_2(X0))
& v9_conlat_1(k9_conlat_2(X0,X1),k7_conlat_2(X0))
& ~ v7_conlat_1(k9_conlat_2(X0,X1),k7_conlat_2(X0))
& v6_conlat_1(k9_conlat_2(X0,X1),k7_conlat_2(X0)) )
| ~ l3_conlat_1(X1,X0)
| ~ v9_conlat_1(X1,X0)
| v7_conlat_1(X1,X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(flattening,[],[f96]) ).
fof(f98,plain,
! [X0] :
( l1_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f99,plain,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f25]) ).
fof(f100,plain,
! [X0] :
( m2_relset_1(u3_conlat_1(X0),u1_conlat_1(X0),u2_conlat_1(X0))
| ~ l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f112,plain,
! [X0,X1,X2] :
( ! [X3,X4,X5] :
( ( X2 = X5
& X1 = X4
& X0 = X3 )
| g2_conlat_1(X0,X1,X2) != g2_conlat_1(X3,X4,X5) )
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f42]) ).
fof(f115,plain,
! [X0] :
( k4_relat_1(k4_relat_1(X0)) = X0
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f131,plain,
! [X0,X1,X2] :
( k6_relset_1(X0,X1,X2) = k4_relat_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f59]) ).
fof(f132,plain,
! [X0,X1] :
( k9_conlat_2(X0,X1) = k8_conlat_2(X0,X1)
| ~ l3_conlat_1(X1,X0)
| ~ v9_conlat_1(X1,X0)
| v7_conlat_1(X1,X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(ennf_transformation,[],[f60]) ).
fof(f133,plain,
! [X0,X1] :
( k9_conlat_2(X0,X1) = k8_conlat_2(X0,X1)
| ~ l3_conlat_1(X1,X0)
| ~ v9_conlat_1(X1,X0)
| v7_conlat_1(X1,X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(flattening,[],[f132]) ).
fof(f144,plain,
( ? [X0] :
( ? [X1] :
( k9_conlat_2(k7_conlat_2(X0),k9_conlat_2(X0,X1)) != X1
& l3_conlat_1(X1,X0)
& v9_conlat_1(X1,X0)
& ~ v7_conlat_1(X1,X0)
& v6_conlat_1(X1,X0) )
& l2_conlat_1(X0)
& v4_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> ( ? [X1] :
( k9_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,X1)) != X1
& l3_conlat_1(X1,sK0)
& v9_conlat_1(X1,sK0)
& ~ v7_conlat_1(X1,sK0)
& v6_conlat_1(X1,sK0) )
& l2_conlat_1(sK0)
& v4_conlat_1(sK0)
& ~ v3_conlat_1(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f145,plain,
( ? [X1] :
( k9_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,X1)) != X1
& l3_conlat_1(X1,sK0)
& v9_conlat_1(X1,sK0)
& ~ v7_conlat_1(X1,sK0)
& v6_conlat_1(X1,sK0) )
=> ( sK1 != k9_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1))
& l3_conlat_1(sK1,sK0)
& v9_conlat_1(sK1,sK0)
& ~ v7_conlat_1(sK1,sK0)
& v6_conlat_1(sK1,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f146,plain,
( sK1 != k9_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1))
& l3_conlat_1(sK1,sK0)
& v9_conlat_1(sK1,sK0)
& ~ v7_conlat_1(sK1,sK0)
& v6_conlat_1(sK1,sK0)
& l2_conlat_1(sK0)
& v4_conlat_1(sK0)
& ~ v3_conlat_1(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f76,f145,f144]) ).
fof(f147,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( k8_conlat_2(X0,X1) = X2
| u4_conlat_1(X0,X1) != u5_conlat_1(k7_conlat_2(X0),X2)
| u5_conlat_1(X0,X1) != u4_conlat_1(k7_conlat_2(X0),X2) )
& ( ( u4_conlat_1(X0,X1) = u5_conlat_1(k7_conlat_2(X0),X2)
& u5_conlat_1(X0,X1) = u4_conlat_1(k7_conlat_2(X0),X2) )
| k8_conlat_2(X0,X1) != X2 ) )
| ~ l3_conlat_1(X2,k7_conlat_2(X0))
| ~ v6_conlat_1(X2,k7_conlat_2(X0)) )
| ~ l3_conlat_1(X1,X0) )
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(nnf_transformation,[],[f86]) ).
fof(f148,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( k8_conlat_2(X0,X1) = X2
| u4_conlat_1(X0,X1) != u5_conlat_1(k7_conlat_2(X0),X2)
| u5_conlat_1(X0,X1) != u4_conlat_1(k7_conlat_2(X0),X2) )
& ( ( u4_conlat_1(X0,X1) = u5_conlat_1(k7_conlat_2(X0),X2)
& u5_conlat_1(X0,X1) = u4_conlat_1(k7_conlat_2(X0),X2) )
| k8_conlat_2(X0,X1) != X2 ) )
| ~ l3_conlat_1(X2,k7_conlat_2(X0))
| ~ v6_conlat_1(X2,k7_conlat_2(X0)) )
| ~ l3_conlat_1(X1,X0) )
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(flattening,[],[f147]) ).
fof(f187,plain,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) )
& ( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f61]) ).
fof(f188,plain,
~ v3_conlat_1(sK0),
inference(cnf_transformation,[],[f146]) ).
fof(f189,plain,
v4_conlat_1(sK0),
inference(cnf_transformation,[],[f146]) ).
fof(f190,plain,
l2_conlat_1(sK0),
inference(cnf_transformation,[],[f146]) ).
fof(f191,plain,
v6_conlat_1(sK1,sK0),
inference(cnf_transformation,[],[f146]) ).
fof(f192,plain,
~ v7_conlat_1(sK1,sK0),
inference(cnf_transformation,[],[f146]) ).
fof(f193,plain,
v9_conlat_1(sK1,sK0),
inference(cnf_transformation,[],[f146]) ).
fof(f194,plain,
l3_conlat_1(sK1,sK0),
inference(cnf_transformation,[],[f146]) ).
fof(f195,plain,
sK1 != k9_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1)),
inference(cnf_transformation,[],[f146]) ).
fof(f196,plain,
! [X0] :
( g2_conlat_1(u1_conlat_1(X0),u2_conlat_1(X0),u3_conlat_1(X0)) = X0
| ~ v4_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f197,plain,
! [X0,X1] :
( g3_conlat_1(X0,u4_conlat_1(X0,X1),u5_conlat_1(X0,X1)) = X1
| ~ v6_conlat_1(X1,X0)
| ~ l3_conlat_1(X1,X0)
| ~ l1_conlat_1(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f199,plain,
! [X2,X0,X1] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(cnf_transformation,[],[f82]) ).
fof(f200,plain,
! [X0] :
( k7_conlat_2(X0) = g2_conlat_1(u2_conlat_1(X0),u1_conlat_1(X0),k6_relset_1(u1_conlat_1(X0),u2_conlat_1(X0),u3_conlat_1(X0)))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f201,plain,
! [X2,X0,X1] :
( u5_conlat_1(X0,X1) = u4_conlat_1(k7_conlat_2(X0),X2)
| k8_conlat_2(X0,X1) != X2
| ~ l3_conlat_1(X2,k7_conlat_2(X0))
| ~ v6_conlat_1(X2,k7_conlat_2(X0))
| ~ l3_conlat_1(X1,X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f202,plain,
! [X2,X0,X1] :
( u4_conlat_1(X0,X1) = u5_conlat_1(k7_conlat_2(X0),X2)
| k8_conlat_2(X0,X1) != X2
| ~ l3_conlat_1(X2,k7_conlat_2(X0))
| ~ v6_conlat_1(X2,k7_conlat_2(X0))
| ~ l3_conlat_1(X1,X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f209,plain,
! [X2,X0,X1] :
( m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f91]) ).
fof(f210,plain,
! [X0] :
( ~ v3_conlat_1(k7_conlat_2(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f211,plain,
! [X0] :
( v4_conlat_1(k7_conlat_2(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f212,plain,
! [X0] :
( l2_conlat_1(k7_conlat_2(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f213,plain,
! [X0,X1] :
( v6_conlat_1(k8_conlat_2(X0,X1),k7_conlat_2(X0))
| ~ l3_conlat_1(X1,X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f214,plain,
! [X0,X1] :
( l3_conlat_1(k8_conlat_2(X0,X1),k7_conlat_2(X0))
| ~ l3_conlat_1(X1,X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f215,plain,
! [X0,X1] :
( v6_conlat_1(k9_conlat_2(X0,X1),k7_conlat_2(X0))
| ~ l3_conlat_1(X1,X0)
| ~ v9_conlat_1(X1,X0)
| v7_conlat_1(X1,X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f216,plain,
! [X0,X1] :
( ~ v7_conlat_1(k9_conlat_2(X0,X1),k7_conlat_2(X0))
| ~ l3_conlat_1(X1,X0)
| ~ v9_conlat_1(X1,X0)
| v7_conlat_1(X1,X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f217,plain,
! [X0,X1] :
( v9_conlat_1(k9_conlat_2(X0,X1),k7_conlat_2(X0))
| ~ l3_conlat_1(X1,X0)
| ~ v9_conlat_1(X1,X0)
| v7_conlat_1(X1,X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f218,plain,
! [X0,X1] :
( l3_conlat_1(k9_conlat_2(X0,X1),k7_conlat_2(X0))
| ~ l3_conlat_1(X1,X0)
| ~ v9_conlat_1(X1,X0)
| v7_conlat_1(X1,X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f219,plain,
! [X0] :
( l1_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f220,plain,
! [X2,X0,X1] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f99]) ).
fof(f221,plain,
! [X0] :
( m2_relset_1(u3_conlat_1(X0),u1_conlat_1(X0),u2_conlat_1(X0))
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f235,plain,
! [X2,X3,X0,X1,X4,X5] :
( X0 = X3
| g2_conlat_1(X0,X1,X2) != g2_conlat_1(X3,X4,X5)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f236,plain,
! [X2,X3,X0,X1,X4,X5] :
( X1 = X4
| g2_conlat_1(X0,X1,X2) != g2_conlat_1(X3,X4,X5)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f237,plain,
! [X2,X3,X0,X1,X4,X5] :
( X2 = X5
| g2_conlat_1(X0,X1,X2) != g2_conlat_1(X3,X4,X5)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f241,plain,
! [X0] :
( k4_relat_1(k4_relat_1(X0)) = X0
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f272,plain,
! [X2,X0,X1] :
( k6_relset_1(X0,X1,X2) = k4_relat_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f131]) ).
fof(f273,plain,
! [X0,X1] :
( k9_conlat_2(X0,X1) = k8_conlat_2(X0,X1)
| ~ l3_conlat_1(X1,X0)
| ~ v9_conlat_1(X1,X0)
| v7_conlat_1(X1,X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f274,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f187]) ).
fof(f285,plain,
! [X0,X1] :
( u4_conlat_1(X0,X1) = u5_conlat_1(k7_conlat_2(X0),k8_conlat_2(X0,X1))
| ~ l3_conlat_1(k8_conlat_2(X0,X1),k7_conlat_2(X0))
| ~ v6_conlat_1(k8_conlat_2(X0,X1),k7_conlat_2(X0))
| ~ l3_conlat_1(X1,X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(equality_resolution,[],[f202]) ).
fof(f286,plain,
! [X0,X1] :
( u5_conlat_1(X0,X1) = u4_conlat_1(k7_conlat_2(X0),k8_conlat_2(X0,X1))
| ~ l3_conlat_1(k8_conlat_2(X0,X1),k7_conlat_2(X0))
| ~ v6_conlat_1(k8_conlat_2(X0,X1),k7_conlat_2(X0))
| ~ l3_conlat_1(X1,X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(equality_resolution,[],[f201]) ).
cnf(c_49,negated_conjecture,
k9_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1)) != sK1,
inference(cnf_transformation,[],[f195]) ).
cnf(c_50,negated_conjecture,
l3_conlat_1(sK1,sK0),
inference(cnf_transformation,[],[f194]) ).
cnf(c_51,negated_conjecture,
v9_conlat_1(sK1,sK0),
inference(cnf_transformation,[],[f193]) ).
cnf(c_52,negated_conjecture,
~ v7_conlat_1(sK1,sK0),
inference(cnf_transformation,[],[f192]) ).
cnf(c_53,negated_conjecture,
v6_conlat_1(sK1,sK0),
inference(cnf_transformation,[],[f191]) ).
cnf(c_54,negated_conjecture,
l2_conlat_1(sK0),
inference(cnf_transformation,[],[f190]) ).
cnf(c_55,negated_conjecture,
v4_conlat_1(sK0),
inference(cnf_transformation,[],[f189]) ).
cnf(c_56,negated_conjecture,
~ v3_conlat_1(sK0),
inference(cnf_transformation,[],[f188]) ).
cnf(c_57,plain,
( ~ l2_conlat_1(X0)
| ~ v4_conlat_1(X0)
| g2_conlat_1(u1_conlat_1(X0),u2_conlat_1(X0),u3_conlat_1(X0)) = X0 ),
inference(cnf_transformation,[],[f196]) ).
cnf(c_58,plain,
( ~ l3_conlat_1(X0,X1)
| ~ v6_conlat_1(X0,X1)
| ~ l1_conlat_1(X1)
| g3_conlat_1(X1,u4_conlat_1(X1,X0),u5_conlat_1(X1,X0)) = X0 ),
inference(cnf_transformation,[],[f197]) ).
cnf(c_60,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| v1_relat_1(X0) ),
inference(cnf_transformation,[],[f199]) ).
cnf(c_61,plain,
( ~ l2_conlat_1(X0)
| g2_conlat_1(u2_conlat_1(X0),u1_conlat_1(X0),k6_relset_1(u1_conlat_1(X0),u2_conlat_1(X0),u3_conlat_1(X0))) = k7_conlat_2(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f200]) ).
cnf(c_63,plain,
( ~ l3_conlat_1(k8_conlat_2(X0,X1),k7_conlat_2(X0))
| ~ v6_conlat_1(k8_conlat_2(X0,X1),k7_conlat_2(X0))
| ~ l3_conlat_1(X1,X0)
| ~ l2_conlat_1(X0)
| u5_conlat_1(k7_conlat_2(X0),k8_conlat_2(X0,X1)) = u4_conlat_1(X0,X1)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f285]) ).
cnf(c_64,plain,
( ~ l3_conlat_1(k8_conlat_2(X0,X1),k7_conlat_2(X0))
| ~ v6_conlat_1(k8_conlat_2(X0,X1),k7_conlat_2(X0))
| ~ l3_conlat_1(X1,X0)
| ~ l2_conlat_1(X0)
| u4_conlat_1(k7_conlat_2(X0),k8_conlat_2(X0,X1)) = u5_conlat_1(X0,X1)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f286]) ).
cnf(c_70,plain,
( ~ m1_relset_1(X0,X1,X2)
| m2_relset_1(k6_relset_1(X1,X2,X0),X2,X1) ),
inference(cnf_transformation,[],[f209]) ).
cnf(c_71,plain,
( ~ l2_conlat_1(X0)
| l2_conlat_1(k7_conlat_2(X0))
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f212]) ).
cnf(c_72,plain,
( ~ l2_conlat_1(X0)
| v4_conlat_1(k7_conlat_2(X0))
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f211]) ).
cnf(c_73,plain,
( ~ v3_conlat_1(k7_conlat_2(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f210]) ).
cnf(c_74,plain,
( ~ l3_conlat_1(X0,X1)
| ~ l2_conlat_1(X1)
| l3_conlat_1(k8_conlat_2(X1,X0),k7_conlat_2(X1))
| v3_conlat_1(X1) ),
inference(cnf_transformation,[],[f214]) ).
cnf(c_75,plain,
( ~ l3_conlat_1(X0,X1)
| ~ l2_conlat_1(X1)
| v6_conlat_1(k8_conlat_2(X1,X0),k7_conlat_2(X1))
| v3_conlat_1(X1) ),
inference(cnf_transformation,[],[f213]) ).
cnf(c_76,plain,
( ~ l3_conlat_1(X0,X1)
| ~ v9_conlat_1(X0,X1)
| ~ l2_conlat_1(X1)
| l3_conlat_1(k9_conlat_2(X1,X0),k7_conlat_2(X1))
| v7_conlat_1(X0,X1)
| v3_conlat_1(X1) ),
inference(cnf_transformation,[],[f218]) ).
cnf(c_77,plain,
( ~ l3_conlat_1(X0,X1)
| ~ v9_conlat_1(X0,X1)
| ~ l2_conlat_1(X1)
| v9_conlat_1(k9_conlat_2(X1,X0),k7_conlat_2(X1))
| v7_conlat_1(X0,X1)
| v3_conlat_1(X1) ),
inference(cnf_transformation,[],[f217]) ).
cnf(c_78,plain,
( ~ v7_conlat_1(k9_conlat_2(X0,X1),k7_conlat_2(X0))
| ~ l3_conlat_1(X1,X0)
| ~ v9_conlat_1(X1,X0)
| ~ l2_conlat_1(X0)
| v7_conlat_1(X1,X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f216]) ).
cnf(c_79,plain,
( ~ l3_conlat_1(X0,X1)
| ~ v9_conlat_1(X0,X1)
| ~ l2_conlat_1(X1)
| v6_conlat_1(k9_conlat_2(X1,X0),k7_conlat_2(X1))
| v7_conlat_1(X0,X1)
| v3_conlat_1(X1) ),
inference(cnf_transformation,[],[f215]) ).
cnf(c_80,plain,
( ~ l2_conlat_1(X0)
| l1_conlat_1(X0) ),
inference(cnf_transformation,[],[f219]) ).
cnf(c_81,plain,
( ~ m2_relset_1(X0,X1,X2)
| m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(cnf_transformation,[],[f220]) ).
cnf(c_82,plain,
( ~ l2_conlat_1(X0)
| m2_relset_1(u3_conlat_1(X0),u1_conlat_1(X0),u2_conlat_1(X0)) ),
inference(cnf_transformation,[],[f221]) ).
cnf(c_96,plain,
( g2_conlat_1(X0,X1,X2) != g2_conlat_1(X3,X4,X5)
| ~ m1_relset_1(X2,X0,X1)
| X2 = X5 ),
inference(cnf_transformation,[],[f237]) ).
cnf(c_97,plain,
( g2_conlat_1(X0,X1,X2) != g2_conlat_1(X3,X4,X5)
| ~ m1_relset_1(X2,X0,X1)
| X1 = X4 ),
inference(cnf_transformation,[],[f236]) ).
cnf(c_98,plain,
( g2_conlat_1(X0,X1,X2) != g2_conlat_1(X3,X4,X5)
| ~ m1_relset_1(X2,X0,X1)
| X0 = X3 ),
inference(cnf_transformation,[],[f235]) ).
cnf(c_102,plain,
( ~ v1_relat_1(X0)
| k4_relat_1(k4_relat_1(X0)) = X0 ),
inference(cnf_transformation,[],[f241]) ).
cnf(c_133,plain,
( ~ m1_relset_1(X0,X1,X2)
| k6_relset_1(X1,X2,X0) = k4_relat_1(X0) ),
inference(cnf_transformation,[],[f272]) ).
cnf(c_134,plain,
( ~ l3_conlat_1(X0,X1)
| ~ v9_conlat_1(X0,X1)
| ~ l2_conlat_1(X1)
| k9_conlat_2(X1,X0) = k8_conlat_2(X1,X0)
| v7_conlat_1(X0,X1)
| v3_conlat_1(X1) ),
inference(cnf_transformation,[],[f273]) ).
cnf(c_136,plain,
( ~ m2_relset_1(X0,X1,X2)
| m1_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f274]) ).
cnf(c_259,plain,
( ~ m2_relset_1(X0,X1,X2)
| m2_relset_1(k6_relset_1(X1,X2,X0),X2,X1) ),
inference(prop_impl_just,[status(thm)],[c_136,c_70]) ).
cnf(c_263,plain,
( ~ m2_relset_1(X0,X1,X2)
| k6_relset_1(X1,X2,X0) = k4_relat_1(X0) ),
inference(prop_impl_just,[status(thm)],[c_136,c_133]) ).
cnf(c_794,plain,
( ~ v6_conlat_1(k8_conlat_2(X0,X1),k7_conlat_2(X0))
| ~ l3_conlat_1(X1,X0)
| ~ l2_conlat_1(X0)
| u4_conlat_1(k7_conlat_2(X0),k8_conlat_2(X0,X1)) = u5_conlat_1(X0,X1)
| v3_conlat_1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_64,c_74]) ).
cnf(c_795,plain,
( ~ v6_conlat_1(k8_conlat_2(X0,X1),k7_conlat_2(X0))
| ~ l3_conlat_1(X1,X0)
| ~ l2_conlat_1(X0)
| u5_conlat_1(k7_conlat_2(X0),k8_conlat_2(X0,X1)) = u4_conlat_1(X0,X1)
| v3_conlat_1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_63,c_74]) ).
cnf(c_806,plain,
( ~ l3_conlat_1(X0,X1)
| ~ l2_conlat_1(X1)
| u5_conlat_1(k7_conlat_2(X1),k8_conlat_2(X1,X0)) = u4_conlat_1(X1,X0)
| v3_conlat_1(X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_795,c_75]) ).
cnf(c_807,plain,
( ~ l3_conlat_1(X0,X1)
| ~ l2_conlat_1(X1)
| u4_conlat_1(k7_conlat_2(X1),k8_conlat_2(X1,X0)) = u5_conlat_1(X1,X0)
| v3_conlat_1(X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_794,c_75]) ).
cnf(c_2685,plain,
( ~ m2_relset_1(X0,X1,X2)
| m2_relset_1(k6_relset_1(X1,X2,X0),X2,X1) ),
inference(prop_impl_just,[status(thm)],[c_259]) ).
cnf(c_2689,plain,
( ~ m2_relset_1(X0,X1,X2)
| k6_relset_1(X1,X2,X0) = k4_relat_1(X0) ),
inference(prop_impl_just,[status(thm)],[c_263]) ).
cnf(c_4971,plain,
k7_conlat_2(sK0) = sP0_iProver_def,
definition ).
cnf(c_4972,plain,
k9_conlat_2(sK0,sK1) = sP1_iProver_def,
definition ).
cnf(c_4973,plain,
k9_conlat_2(sP0_iProver_def,sP1_iProver_def) = sP2_iProver_def,
definition ).
cnf(c_4974,negated_conjecture,
~ v3_conlat_1(sK0),
inference(demodulation,[status(thm)],[c_56]) ).
cnf(c_4975,negated_conjecture,
v4_conlat_1(sK0),
inference(demodulation,[status(thm)],[c_55]) ).
cnf(c_4976,negated_conjecture,
l2_conlat_1(sK0),
inference(demodulation,[status(thm)],[c_54]) ).
cnf(c_4977,negated_conjecture,
v6_conlat_1(sK1,sK0),
inference(demodulation,[status(thm)],[c_53]) ).
cnf(c_4978,negated_conjecture,
~ v7_conlat_1(sK1,sK0),
inference(demodulation,[status(thm)],[c_52]) ).
cnf(c_4979,negated_conjecture,
v9_conlat_1(sK1,sK0),
inference(demodulation,[status(thm)],[c_51]) ).
cnf(c_4980,negated_conjecture,
l3_conlat_1(sK1,sK0),
inference(demodulation,[status(thm)],[c_50]) ).
cnf(c_4981,negated_conjecture,
sP2_iProver_def != sK1,
inference(demodulation,[status(thm)],[c_49,c_4972,c_4971,c_4973]) ).
cnf(c_6863,plain,
l1_conlat_1(sK0),
inference(superposition,[status(thm)],[c_4976,c_80]) ).
cnf(c_6921,plain,
( ~ l2_conlat_1(sK0)
| l2_conlat_1(sP0_iProver_def)
| v3_conlat_1(sK0) ),
inference(superposition,[status(thm)],[c_4971,c_71]) ).
cnf(c_6923,plain,
l2_conlat_1(sP0_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_6921,c_4974,c_4976]) ).
cnf(c_6934,plain,
( ~ l2_conlat_1(sK0)
| v4_conlat_1(sP0_iProver_def)
| v3_conlat_1(sK0) ),
inference(superposition,[status(thm)],[c_4971,c_72]) ).
cnf(c_6935,plain,
v4_conlat_1(sP0_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_6934,c_4974,c_4976]) ).
cnf(c_6963,plain,
( ~ l2_conlat_1(sK0)
| ~ v3_conlat_1(sP0_iProver_def)
| v3_conlat_1(sK0) ),
inference(superposition,[status(thm)],[c_4971,c_73]) ).
cnf(c_6964,plain,
~ v3_conlat_1(sP0_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_6963,c_4974,c_4976]) ).
cnf(c_6979,plain,
( ~ l2_conlat_1(sK0)
| u5_conlat_1(k7_conlat_2(sK0),k8_conlat_2(sK0,sK1)) = u4_conlat_1(sK0,sK1)
| v3_conlat_1(sK0) ),
inference(superposition,[status(thm)],[c_4980,c_806]) ).
cnf(c_6982,plain,
( ~ l2_conlat_1(sK0)
| u5_conlat_1(sP0_iProver_def,k8_conlat_2(sK0,sK1)) = u4_conlat_1(sK0,sK1)
| v3_conlat_1(sK0) ),
inference(light_normalisation,[status(thm)],[c_6979,c_4971]) ).
cnf(c_6983,plain,
u5_conlat_1(sP0_iProver_def,k8_conlat_2(sK0,sK1)) = u4_conlat_1(sK0,sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_6982,c_4974,c_4976]) ).
cnf(c_7145,plain,
( ~ l2_conlat_1(X0)
| m1_relset_1(u3_conlat_1(X0),u1_conlat_1(X0),u2_conlat_1(X0)) ),
inference(superposition,[status(thm)],[c_82,c_136]) ).
cnf(c_7246,plain,
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_81,c_60]) ).
cnf(c_7259,plain,
( ~ l2_conlat_1(X0)
| v1_relat_1(u3_conlat_1(X0)) ),
inference(superposition,[status(thm)],[c_82,c_7246]) ).
cnf(c_7275,plain,
( ~ l2_conlat_1(X0)
| k4_relat_1(k4_relat_1(u3_conlat_1(X0))) = u3_conlat_1(X0) ),
inference(superposition,[status(thm)],[c_7259,c_102]) ).
cnf(c_7309,plain,
k4_relat_1(k4_relat_1(u3_conlat_1(sK0))) = u3_conlat_1(sK0),
inference(superposition,[status(thm)],[c_4976,c_7275]) ).
cnf(c_7394,plain,
( ~ m2_relset_1(X0,X1,X2)
| m1_relset_1(k6_relset_1(X1,X2,X0),X2,X1) ),
inference(superposition,[status(thm)],[c_2685,c_136]) ).
cnf(c_7406,plain,
( ~ l2_conlat_1(X0)
| k6_relset_1(u1_conlat_1(X0),u2_conlat_1(X0),u3_conlat_1(X0)) = k4_relat_1(u3_conlat_1(X0)) ),
inference(superposition,[status(thm)],[c_82,c_2689]) ).
cnf(c_7528,plain,
( ~ l3_conlat_1(X0,sK0)
| ~ l2_conlat_1(sK0)
| l3_conlat_1(k8_conlat_2(sK0,X0),sP0_iProver_def)
| v3_conlat_1(sK0) ),
inference(superposition,[status(thm)],[c_4971,c_74]) ).
cnf(c_7530,plain,
( ~ l3_conlat_1(X0,sK0)
| l3_conlat_1(k8_conlat_2(sK0,X0),sP0_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7528,c_4974,c_4976]) ).
cnf(c_7653,plain,
( ~ l2_conlat_1(sK0)
| g2_conlat_1(u1_conlat_1(sK0),u2_conlat_1(sK0),u3_conlat_1(sK0)) = sK0 ),
inference(superposition,[status(thm)],[c_4975,c_57]) ).
cnf(c_7658,plain,
( ~ l2_conlat_1(sP0_iProver_def)
| g2_conlat_1(u1_conlat_1(sP0_iProver_def),u2_conlat_1(sP0_iProver_def),u3_conlat_1(sP0_iProver_def)) = sP0_iProver_def ),
inference(superposition,[status(thm)],[c_6935,c_57]) ).
cnf(c_7659,plain,
g2_conlat_1(u1_conlat_1(sP0_iProver_def),u2_conlat_1(sP0_iProver_def),u3_conlat_1(sP0_iProver_def)) = sP0_iProver_def,
inference(forward_subsumption_resolution,[status(thm)],[c_7658,c_6923]) ).
cnf(c_7662,plain,
g2_conlat_1(u1_conlat_1(sK0),u2_conlat_1(sK0),u3_conlat_1(sK0)) = sK0,
inference(forward_subsumption_resolution,[status(thm)],[c_7653,c_4976]) ).
cnf(c_7898,plain,
( ~ l2_conlat_1(sK0)
| u4_conlat_1(k7_conlat_2(sK0),k8_conlat_2(sK0,sK1)) = u5_conlat_1(sK0,sK1)
| v3_conlat_1(sK0) ),
inference(superposition,[status(thm)],[c_4980,c_807]) ).
cnf(c_7906,plain,
( ~ l3_conlat_1(X0,sK0)
| ~ l2_conlat_1(sP0_iProver_def)
| u4_conlat_1(k7_conlat_2(sP0_iProver_def),k8_conlat_2(sP0_iProver_def,k8_conlat_2(sK0,X0))) = u5_conlat_1(sP0_iProver_def,k8_conlat_2(sK0,X0))
| v3_conlat_1(sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_7530,c_807]) ).
cnf(c_7907,plain,
( ~ l2_conlat_1(sK0)
| u4_conlat_1(sP0_iProver_def,k8_conlat_2(sK0,sK1)) = u5_conlat_1(sK0,sK1)
| v3_conlat_1(sK0) ),
inference(light_normalisation,[status(thm)],[c_7898,c_4971]) ).
cnf(c_7908,plain,
u4_conlat_1(sP0_iProver_def,k8_conlat_2(sK0,sK1)) = u5_conlat_1(sK0,sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_7907,c_4974,c_4976]) ).
cnf(c_7931,plain,
( ~ l3_conlat_1(X0,sK0)
| u4_conlat_1(k7_conlat_2(sP0_iProver_def),k8_conlat_2(sP0_iProver_def,k8_conlat_2(sK0,X0))) = u5_conlat_1(sP0_iProver_def,k8_conlat_2(sK0,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7906,c_6964,c_6923]) ).
cnf(c_7976,plain,
( g2_conlat_1(u2_conlat_1(sK0),u1_conlat_1(sK0),k6_relset_1(u1_conlat_1(sK0),u2_conlat_1(sK0),u3_conlat_1(sK0))) = k7_conlat_2(sK0)
| v3_conlat_1(sK0) ),
inference(superposition,[status(thm)],[c_4976,c_61]) ).
cnf(c_7982,plain,
( g2_conlat_1(u2_conlat_1(sP0_iProver_def),u1_conlat_1(sP0_iProver_def),k6_relset_1(u1_conlat_1(sP0_iProver_def),u2_conlat_1(sP0_iProver_def),u3_conlat_1(sP0_iProver_def))) = k7_conlat_2(sP0_iProver_def)
| v3_conlat_1(sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_6923,c_61]) ).
cnf(c_7983,plain,
g2_conlat_1(u2_conlat_1(sP0_iProver_def),u1_conlat_1(sP0_iProver_def),k6_relset_1(u1_conlat_1(sP0_iProver_def),u2_conlat_1(sP0_iProver_def),u3_conlat_1(sP0_iProver_def))) = k7_conlat_2(sP0_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_7982,c_6964]) ).
cnf(c_7989,plain,
( g2_conlat_1(u2_conlat_1(sK0),u1_conlat_1(sK0),k6_relset_1(u1_conlat_1(sK0),u2_conlat_1(sK0),u3_conlat_1(sK0))) = sP0_iProver_def
| v3_conlat_1(sK0) ),
inference(light_normalisation,[status(thm)],[c_7976,c_4971]) ).
cnf(c_7990,plain,
g2_conlat_1(u2_conlat_1(sK0),u1_conlat_1(sK0),k6_relset_1(u1_conlat_1(sK0),u2_conlat_1(sK0),u3_conlat_1(sK0))) = sP0_iProver_def,
inference(forward_subsumption_resolution,[status(thm)],[c_7989,c_4974]) ).
cnf(c_8103,plain,
( g2_conlat_1(X0,X1,X2) != sP0_iProver_def
| ~ m1_relset_1(X2,X0,X1)
| u2_conlat_1(sK0) = X0 ),
inference(superposition,[status(thm)],[c_7990,c_98]) ).
cnf(c_8241,plain,
( ~ m1_relset_1(u3_conlat_1(sP0_iProver_def),u1_conlat_1(sP0_iProver_def),u2_conlat_1(sP0_iProver_def))
| u1_conlat_1(sP0_iProver_def) = u2_conlat_1(sK0) ),
inference(superposition,[status(thm)],[c_7659,c_8103]) ).
cnf(c_8277,plain,
( ~ l3_conlat_1(sK1,sK0)
| ~ l1_conlat_1(sK0)
| g3_conlat_1(sK0,u4_conlat_1(sK0,sK1),u5_conlat_1(sK0,sK1)) = sK1 ),
inference(superposition,[status(thm)],[c_4977,c_58]) ).
cnf(c_8285,plain,
g3_conlat_1(sK0,u4_conlat_1(sK0,sK1),u5_conlat_1(sK0,sK1)) = sK1,
inference(forward_subsumption_resolution,[status(thm)],[c_8277,c_6863,c_4980]) ).
cnf(c_8342,plain,
( ~ l3_conlat_1(sK1,sK0)
| ~ v9_conlat_1(sK1,sK0)
| ~ l2_conlat_1(sK0)
| l3_conlat_1(sP1_iProver_def,k7_conlat_2(sK0))
| v7_conlat_1(sK1,sK0)
| v3_conlat_1(sK0) ),
inference(superposition,[status(thm)],[c_4972,c_76]) ).
cnf(c_8343,plain,
( ~ l3_conlat_1(sP1_iProver_def,sP0_iProver_def)
| ~ v9_conlat_1(sP1_iProver_def,sP0_iProver_def)
| ~ l2_conlat_1(sP0_iProver_def)
| l3_conlat_1(sP2_iProver_def,k7_conlat_2(sP0_iProver_def))
| v7_conlat_1(sP1_iProver_def,sP0_iProver_def)
| v3_conlat_1(sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_4973,c_76]) ).
cnf(c_8347,plain,
( ~ l3_conlat_1(sP1_iProver_def,sP0_iProver_def)
| ~ v9_conlat_1(sP1_iProver_def,sP0_iProver_def)
| l3_conlat_1(sP2_iProver_def,k7_conlat_2(sP0_iProver_def))
| v7_conlat_1(sP1_iProver_def,sP0_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8343,c_6964,c_6923]) ).
cnf(c_8352,plain,
( ~ l3_conlat_1(sK1,sK0)
| ~ v9_conlat_1(sK1,sK0)
| ~ l2_conlat_1(sK0)
| l3_conlat_1(sP1_iProver_def,sP0_iProver_def)
| v7_conlat_1(sK1,sK0)
| v3_conlat_1(sK0) ),
inference(light_normalisation,[status(thm)],[c_8342,c_4971]) ).
cnf(c_8353,plain,
l3_conlat_1(sP1_iProver_def,sP0_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_8352,c_4974,c_4978,c_4976,c_4979,c_4980]) ).
cnf(c_8354,plain,
( ~ v9_conlat_1(sP1_iProver_def,sP0_iProver_def)
| l3_conlat_1(sP2_iProver_def,k7_conlat_2(sP0_iProver_def))
| v7_conlat_1(sP1_iProver_def,sP0_iProver_def) ),
inference(backward_subsumption_resolution,[status(thm)],[c_8347,c_8353]) ).
cnf(c_8407,plain,
( ~ l3_conlat_1(sK1,sK0)
| ~ v9_conlat_1(sK1,sK0)
| ~ l2_conlat_1(sK0)
| v9_conlat_1(sP1_iProver_def,k7_conlat_2(sK0))
| v7_conlat_1(sK1,sK0)
| v3_conlat_1(sK0) ),
inference(superposition,[status(thm)],[c_4972,c_77]) ).
cnf(c_8415,plain,
( ~ l3_conlat_1(sK1,sK0)
| ~ v9_conlat_1(sK1,sK0)
| ~ l2_conlat_1(sK0)
| v9_conlat_1(sP1_iProver_def,sP0_iProver_def)
| v7_conlat_1(sK1,sK0)
| v3_conlat_1(sK0) ),
inference(light_normalisation,[status(thm)],[c_8407,c_4971]) ).
cnf(c_8416,plain,
v9_conlat_1(sP1_iProver_def,sP0_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_8415,c_4974,c_4978,c_4976,c_4979,c_4980]) ).
cnf(c_8428,plain,
( ~ l2_conlat_1(sP0_iProver_def)
| u5_conlat_1(k7_conlat_2(sP0_iProver_def),k8_conlat_2(sP0_iProver_def,sP1_iProver_def)) = u4_conlat_1(sP0_iProver_def,sP1_iProver_def)
| v3_conlat_1(sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_8353,c_806]) ).
cnf(c_8429,plain,
u5_conlat_1(k7_conlat_2(sP0_iProver_def),k8_conlat_2(sP0_iProver_def,sP1_iProver_def)) = u4_conlat_1(sP0_iProver_def,sP1_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_8428,c_6964,c_6923]) ).
cnf(c_8585,plain,
( l3_conlat_1(sP2_iProver_def,k7_conlat_2(sP0_iProver_def))
| v7_conlat_1(sP1_iProver_def,sP0_iProver_def) ),
inference(global_subsumption_just,[status(thm)],[c_8354,c_8354,c_8416]) ).
cnf(c_8746,plain,
( ~ l3_conlat_1(sP1_iProver_def,sP0_iProver_def)
| ~ v9_conlat_1(sP1_iProver_def,sP0_iProver_def)
| ~ l2_conlat_1(sP0_iProver_def)
| v6_conlat_1(sP2_iProver_def,k7_conlat_2(sP0_iProver_def))
| v7_conlat_1(sP1_iProver_def,sP0_iProver_def)
| v3_conlat_1(sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_4973,c_79]) ).
cnf(c_8749,plain,
( v6_conlat_1(sP2_iProver_def,k7_conlat_2(sP0_iProver_def))
| v7_conlat_1(sP1_iProver_def,sP0_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8746,c_6964,c_6923,c_8416,c_8353]) ).
cnf(c_8780,plain,
( ~ v7_conlat_1(sP1_iProver_def,k7_conlat_2(sK0))
| ~ l3_conlat_1(sK1,sK0)
| ~ v9_conlat_1(sK1,sK0)
| ~ l2_conlat_1(sK0)
| v7_conlat_1(sK1,sK0)
| v3_conlat_1(sK0) ),
inference(superposition,[status(thm)],[c_4972,c_78]) ).
cnf(c_8786,plain,
( ~ l3_conlat_1(sK1,sK0)
| ~ v9_conlat_1(sK1,sK0)
| ~ v7_conlat_1(sP1_iProver_def,sP0_iProver_def)
| ~ l2_conlat_1(sK0)
| v7_conlat_1(sK1,sK0)
| v3_conlat_1(sK0) ),
inference(light_normalisation,[status(thm)],[c_8780,c_4971]) ).
cnf(c_8787,plain,
~ v7_conlat_1(sP1_iProver_def,sP0_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_8786,c_4974,c_4978,c_4976,c_4979,c_4980]) ).
cnf(c_8795,plain,
l3_conlat_1(sP2_iProver_def,k7_conlat_2(sP0_iProver_def)),
inference(backward_subsumption_resolution,[status(thm)],[c_8585,c_8787]) ).
cnf(c_8809,plain,
( ~ l3_conlat_1(sK1,sK0)
| ~ l2_conlat_1(sK0)
| k9_conlat_2(sK0,sK1) = k8_conlat_2(sK0,sK1)
| v7_conlat_1(sK1,sK0)
| v3_conlat_1(sK0) ),
inference(superposition,[status(thm)],[c_4979,c_134]) ).
cnf(c_8813,plain,
( ~ l3_conlat_1(sP1_iProver_def,sP0_iProver_def)
| ~ l2_conlat_1(sP0_iProver_def)
| k9_conlat_2(sP0_iProver_def,sP1_iProver_def) = k8_conlat_2(sP0_iProver_def,sP1_iProver_def)
| v7_conlat_1(sP1_iProver_def,sP0_iProver_def)
| v3_conlat_1(sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_8416,c_134]) ).
cnf(c_8815,plain,
( ~ l3_conlat_1(sP1_iProver_def,sP0_iProver_def)
| ~ l2_conlat_1(sP0_iProver_def)
| k8_conlat_2(sP0_iProver_def,sP1_iProver_def) = sP2_iProver_def
| v7_conlat_1(sP1_iProver_def,sP0_iProver_def)
| v3_conlat_1(sP0_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_8813,c_4973]) ).
cnf(c_8816,plain,
( k8_conlat_2(sP0_iProver_def,sP1_iProver_def) = sP2_iProver_def
| v7_conlat_1(sP1_iProver_def,sP0_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8815,c_6964,c_6923,c_8353]) ).
cnf(c_8819,plain,
( ~ l3_conlat_1(sK1,sK0)
| ~ l2_conlat_1(sK0)
| k8_conlat_2(sK0,sK1) = sP1_iProver_def
| v7_conlat_1(sK1,sK0)
| v3_conlat_1(sK0) ),
inference(light_normalisation,[status(thm)],[c_8809,c_4972]) ).
cnf(c_8820,plain,
k8_conlat_2(sK0,sK1) = sP1_iProver_def,
inference(forward_subsumption_resolution,[status(thm)],[c_8819,c_4974,c_4978,c_4976,c_4980]) ).
cnf(c_8849,plain,
u4_conlat_1(sP0_iProver_def,sP1_iProver_def) = u5_conlat_1(sK0,sK1),
inference(demodulation,[status(thm)],[c_7908,c_8820]) ).
cnf(c_8850,plain,
u4_conlat_1(sK0,sK1) = u5_conlat_1(sP0_iProver_def,sP1_iProver_def),
inference(demodulation,[status(thm)],[c_6983,c_8820]) ).
cnf(c_8852,plain,
g3_conlat_1(sK0,u4_conlat_1(sK0,sK1),u4_conlat_1(sP0_iProver_def,sP1_iProver_def)) = sK1,
inference(demodulation,[status(thm)],[c_8285,c_8849]) ).
cnf(c_8931,plain,
v6_conlat_1(sP2_iProver_def,k7_conlat_2(sP0_iProver_def)),
inference(global_subsumption_just,[status(thm)],[c_8749,c_8749,c_8787]) ).
cnf(c_9125,plain,
k8_conlat_2(sP0_iProver_def,sP1_iProver_def) = sP2_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_8816,c_8787,c_8816]) ).
cnf(c_9127,plain,
u5_conlat_1(k7_conlat_2(sP0_iProver_def),sP2_iProver_def) = u4_conlat_1(sP0_iProver_def,sP1_iProver_def),
inference(demodulation,[status(thm)],[c_8429,c_9125]) ).
cnf(c_9247,plain,
u4_conlat_1(k7_conlat_2(sP0_iProver_def),k8_conlat_2(sP0_iProver_def,k8_conlat_2(sK0,sK1))) = u5_conlat_1(sP0_iProver_def,k8_conlat_2(sK0,sK1)),
inference(superposition,[status(thm)],[c_4980,c_7931]) ).
cnf(c_9255,plain,
u4_conlat_1(k7_conlat_2(sP0_iProver_def),sP2_iProver_def) = u4_conlat_1(sK0,sK1),
inference(light_normalisation,[status(thm)],[c_9247,c_8820,c_8850,c_9125]) ).
cnf(c_21859,plain,
( ~ l2_conlat_1(sP0_iProver_def)
| u1_conlat_1(sP0_iProver_def) = u2_conlat_1(sK0) ),
inference(superposition,[status(thm)],[c_7145,c_8241]) ).
cnf(c_21860,plain,
u1_conlat_1(sP0_iProver_def) = u2_conlat_1(sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_21859,c_6923]) ).
cnf(c_21905,plain,
g2_conlat_1(u1_conlat_1(sP0_iProver_def),u1_conlat_1(sK0),k6_relset_1(u1_conlat_1(sK0),u1_conlat_1(sP0_iProver_def),u3_conlat_1(sK0))) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_7990,c_21860]) ).
cnf(c_21908,plain,
g2_conlat_1(u1_conlat_1(sK0),u1_conlat_1(sP0_iProver_def),u3_conlat_1(sK0)) = sK0,
inference(demodulation,[status(thm)],[c_7662,c_21860]) ).
cnf(c_22194,plain,
( ~ l2_conlat_1(sK0)
| m2_relset_1(u3_conlat_1(sK0),u1_conlat_1(sK0),u1_conlat_1(sP0_iProver_def)) ),
inference(superposition,[status(thm)],[c_21860,c_82]) ).
cnf(c_22198,plain,
m2_relset_1(u3_conlat_1(sK0),u1_conlat_1(sK0),u1_conlat_1(sP0_iProver_def)),
inference(forward_subsumption_resolution,[status(thm)],[c_22194,c_4976]) ).
cnf(c_22223,plain,
k6_relset_1(u1_conlat_1(sK0),u1_conlat_1(sP0_iProver_def),u3_conlat_1(sK0)) = k4_relat_1(u3_conlat_1(sK0)),
inference(superposition,[status(thm)],[c_22198,c_2689]) ).
cnf(c_22517,plain,
( ~ m2_relset_1(u3_conlat_1(sK0),u1_conlat_1(sK0),u1_conlat_1(sP0_iProver_def))
| m1_relset_1(k4_relat_1(u3_conlat_1(sK0)),u1_conlat_1(sP0_iProver_def),u1_conlat_1(sK0)) ),
inference(superposition,[status(thm)],[c_22223,c_7394]) ).
cnf(c_22522,plain,
m1_relset_1(k4_relat_1(u3_conlat_1(sK0)),u1_conlat_1(sP0_iProver_def),u1_conlat_1(sK0)),
inference(forward_subsumption_resolution,[status(thm)],[c_22517,c_22198]) ).
cnf(c_22676,plain,
g2_conlat_1(u1_conlat_1(sP0_iProver_def),u1_conlat_1(sK0),k4_relat_1(u3_conlat_1(sK0))) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_21905,c_22223]) ).
cnf(c_22681,plain,
( g2_conlat_1(X0,X1,X2) != sP0_iProver_def
| ~ m1_relset_1(k4_relat_1(u3_conlat_1(sK0)),u1_conlat_1(sP0_iProver_def),u1_conlat_1(sK0))
| u1_conlat_1(sK0) = X1 ),
inference(superposition,[status(thm)],[c_22676,c_97]) ).
cnf(c_22682,plain,
( g2_conlat_1(X0,X1,X2) != sP0_iProver_def
| ~ m1_relset_1(k4_relat_1(u3_conlat_1(sK0)),u1_conlat_1(sP0_iProver_def),u1_conlat_1(sK0))
| k4_relat_1(u3_conlat_1(sK0)) = X2 ),
inference(superposition,[status(thm)],[c_22676,c_96]) ).
cnf(c_22694,plain,
( g2_conlat_1(X0,X1,X2) != sP0_iProver_def
| u1_conlat_1(sK0) = X1 ),
inference(forward_subsumption_resolution,[status(thm)],[c_22681,c_22522]) ).
cnf(c_22700,plain,
( g2_conlat_1(X0,X1,X2) != sP0_iProver_def
| k4_relat_1(u3_conlat_1(sK0)) = X2 ),
inference(forward_subsumption_resolution,[status(thm)],[c_22682,c_22522]) ).
cnf(c_23000,plain,
k6_relset_1(u1_conlat_1(sP0_iProver_def),u2_conlat_1(sP0_iProver_def),u3_conlat_1(sP0_iProver_def)) = k4_relat_1(u3_conlat_1(sP0_iProver_def)),
inference(superposition,[status(thm)],[c_6923,c_7406]) ).
cnf(c_23012,plain,
g2_conlat_1(u2_conlat_1(sP0_iProver_def),u1_conlat_1(sP0_iProver_def),k4_relat_1(u3_conlat_1(sP0_iProver_def))) = k7_conlat_2(sP0_iProver_def),
inference(demodulation,[status(thm)],[c_7983,c_23000]) ).
cnf(c_26513,plain,
u1_conlat_1(sK0) = u2_conlat_1(sP0_iProver_def),
inference(superposition,[status(thm)],[c_7659,c_22694]) ).
cnf(c_26531,plain,
g2_conlat_1(u1_conlat_1(sK0),u1_conlat_1(sP0_iProver_def),k4_relat_1(u3_conlat_1(sP0_iProver_def))) = k7_conlat_2(sP0_iProver_def),
inference(demodulation,[status(thm)],[c_23012,c_26513]) ).
cnf(c_26552,plain,
g2_conlat_1(u1_conlat_1(sP0_iProver_def),u1_conlat_1(sK0),u3_conlat_1(sP0_iProver_def)) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_7659,c_26513]) ).
cnf(c_29762,plain,
k4_relat_1(u3_conlat_1(sK0)) = u3_conlat_1(sP0_iProver_def),
inference(superposition,[status(thm)],[c_26552,c_22700]) ).
cnf(c_29784,plain,
k4_relat_1(u3_conlat_1(sP0_iProver_def)) = u3_conlat_1(sK0),
inference(demodulation,[status(thm)],[c_7309,c_29762]) ).
cnf(c_29786,plain,
g2_conlat_1(u1_conlat_1(sK0),u1_conlat_1(sP0_iProver_def),u3_conlat_1(sK0)) = k7_conlat_2(sP0_iProver_def),
inference(demodulation,[status(thm)],[c_26531,c_29784]) ).
cnf(c_29789,plain,
k7_conlat_2(sP0_iProver_def) = sK0,
inference(light_normalisation,[status(thm)],[c_29786,c_21908]) ).
cnf(c_29983,plain,
u4_conlat_1(sK0,sK1) = u4_conlat_1(sK0,sP2_iProver_def),
inference(demodulation,[status(thm)],[c_9255,c_29789]) ).
cnf(c_29984,plain,
u4_conlat_1(sP0_iProver_def,sP1_iProver_def) = u5_conlat_1(sK0,sP2_iProver_def),
inference(demodulation,[status(thm)],[c_9127,c_29789]) ).
cnf(c_29987,plain,
v6_conlat_1(sP2_iProver_def,sK0),
inference(demodulation,[status(thm)],[c_8931,c_29789]) ).
cnf(c_29989,plain,
l3_conlat_1(sP2_iProver_def,sK0),
inference(demodulation,[status(thm)],[c_8795,c_29789]) ).
cnf(c_30014,plain,
g3_conlat_1(sK0,u4_conlat_1(sK0,sP2_iProver_def),u4_conlat_1(sP0_iProver_def,sP1_iProver_def)) = sK1,
inference(demodulation,[status(thm)],[c_8852,c_29983]) ).
cnf(c_30202,plain,
( ~ l3_conlat_1(sP2_iProver_def,sK0)
| ~ l1_conlat_1(sK0)
| g3_conlat_1(sK0,u4_conlat_1(sK0,sP2_iProver_def),u5_conlat_1(sK0,sP2_iProver_def)) = sP2_iProver_def ),
inference(superposition,[status(thm)],[c_29987,c_58]) ).
cnf(c_30203,plain,
( ~ l3_conlat_1(sP2_iProver_def,sK0)
| ~ l1_conlat_1(sK0)
| sK1 = sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_30202,c_29984,c_30014]) ).
cnf(c_30204,plain,
( ~ l3_conlat_1(sP2_iProver_def,sK0)
| sK1 = sP2_iProver_def ),
inference(forward_subsumption_resolution,[status(thm)],[c_30203,c_6863]) ).
cnf(c_30208,plain,
sK1 = sP2_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_30204,c_29989,c_30204]) ).
cnf(c_30216,plain,
sP2_iProver_def != sP2_iProver_def,
inference(demodulation,[status(thm)],[c_4981,c_30208]) ).
cnf(c_30221,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_30216]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LAT345+1 : TPTP v8.1.2. Released v3.4.0.
% 0.11/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu May 2 18:27:48 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 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
% 10.01/2.20 % SZS status Started for theBenchmark.p
% 10.01/2.20 % SZS status Theorem for theBenchmark.p
% 10.01/2.20
% 10.01/2.20 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 10.01/2.20
% 10.01/2.20 ------ iProver source info
% 10.01/2.20
% 10.01/2.20 git: date: 2024-05-02 19:28:25 +0000
% 10.01/2.20 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 10.01/2.20 git: non_committed_changes: false
% 10.01/2.20
% 10.01/2.20 ------ Parsing...
% 10.01/2.20 ------ Clausification by vclausify_rel & Parsing by iProver...
% 10.01/2.20
% 10.01/2.20 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 10.01/2.20
% 10.01/2.20 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 10.01/2.20
% 10.01/2.20 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 10.01/2.20 ------ Proving...
% 10.01/2.20 ------ Problem Properties
% 10.01/2.20
% 10.01/2.20
% 10.01/2.20 clauses 99
% 10.01/2.20 conjectures 8
% 10.01/2.20 EPR 27
% 10.01/2.20 Horn 72
% 10.01/2.20 unary 28
% 10.01/2.20 binary 22
% 10.01/2.20 lits 252
% 10.01/2.20 lits eq 30
% 10.01/2.20 fd_pure 0
% 10.01/2.20 fd_pseudo 0
% 10.01/2.20 fd_cond 1
% 10.01/2.20 fd_pseudo_cond 8
% 10.01/2.20 AC symbols 0
% 10.01/2.20
% 10.01/2.20 ------ Schedule dynamic 5 is on
% 10.01/2.20
% 10.01/2.20 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 10.01/2.20
% 10.01/2.20
% 10.01/2.20 ------
% 10.01/2.20 Current options:
% 10.01/2.20 ------
% 10.01/2.20
% 10.01/2.20
% 10.01/2.20
% 10.01/2.20
% 10.01/2.20 ------ Proving...
% 10.01/2.20
% 10.01/2.20
% 10.01/2.20 % SZS status Theorem for theBenchmark.p
% 10.01/2.20
% 10.01/2.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.01/2.20
% 10.01/2.20
%------------------------------------------------------------------------------