TSTP Solution File: GRP640+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP640+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n016.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 02:23:13 EDT 2024
% Result : Theorem 0.45s 1.13s
% Output : CNFRefutation 0.45s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_group_2(X2,X0)
=> ! [X3] :
( m1_group_2(X3,X0)
=> ! [X4] :
( ( m2_relset_1(X4,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X4,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X4) )
=> ! [X5] :
( m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X0)))
=> ( k2_xboole_0(u1_struct_0(X2),u1_struct_0(X3)) = X5
=> k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,u1_struct_0(k8_group_4(X0,X2,X3))) = k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,u1_struct_0(k5_group_4(X0,X5))) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_latsubgr) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_group_2(X2,X0)
=> ! [X3] :
( m1_group_2(X3,X0)
=> ! [X4] :
( ( m2_relset_1(X4,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X4,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X4) )
=> ! [X5] :
( m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X0)))
=> ( k2_xboole_0(u1_struct_0(X2),u1_struct_0(X3)) = X5
=> k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,u1_struct_0(k8_group_4(X0,X2,X3))) = k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,u1_struct_0(k5_group_4(X0,X5))) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f41,axiom,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).
fof(f51,axiom,
! [X0,X1,X2] :
( ( m1_group_2(X2,X0)
& v1_group_1(X2)
& m1_group_2(X1,X0)
& v1_group_1(X1)
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( r1_group_2(X0,X1,X2)
<=> X1 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_r1_group_2) ).
fof(f55,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( m1_group_2(k5_group_4(X0,X1),X0)
& v1_group_1(k5_group_4(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_group_4) ).
fof(f56,axiom,
! [X0,X1,X2] :
( ( m1_group_2(X2,X0)
& m1_group_2(X1,X0)
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( m1_group_2(k8_group_4(X0,X1,X2),X0)
& v1_group_1(k8_group_4(X0,X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_group_4) ).
fof(f64,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ! [X2] :
( m1_group_2(X2,X0)
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
=> ( k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2)) = X3
=> r1_group_2(X0,k8_group_4(X0,X1,X2),k5_group_4(X0,X3)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_latsubgr) ).
fof(f71,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,u1_struct_0(k8_group_4(X0,X2,X3))) != k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,u1_struct_0(k5_group_4(X0,X5)))
& k2_xboole_0(u1_struct_0(X2),u1_struct_0(X3)) = X5
& m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X0))) )
& m2_relset_1(X4,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X4,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X4) )
& m1_group_2(X3,X0) )
& m1_group_2(X2,X0) )
& l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f72,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,u1_struct_0(k8_group_4(X0,X2,X3))) != k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,u1_struct_0(k5_group_4(X0,X5)))
& k2_xboole_0(u1_struct_0(X2),u1_struct_0(X3)) = X5
& m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X0))) )
& m2_relset_1(X4,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X4,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X4) )
& m1_group_2(X3,X0) )
& m1_group_2(X2,X0) )
& l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f71]) ).
fof(f113,plain,
! [X0,X1,X2] :
( ( r1_group_2(X0,X1,X2)
<=> X1 = X2 )
| ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2)
| ~ m1_group_2(X1,X0)
| ~ v1_group_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f114,plain,
! [X0,X1,X2] :
( ( r1_group_2(X0,X1,X2)
<=> X1 = X2 )
| ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2)
| ~ m1_group_2(X1,X0)
| ~ v1_group_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f113]) ).
fof(f117,plain,
! [X0,X1] :
( ( m1_group_2(k5_group_4(X0,X1),X0)
& v1_group_1(k5_group_4(X0,X1)) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f118,plain,
! [X0,X1] :
( ( m1_group_2(k5_group_4(X0,X1),X0)
& v1_group_1(k5_group_4(X0,X1)) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f117]) ).
fof(f119,plain,
! [X0,X1,X2] :
( ( m1_group_2(k8_group_4(X0,X1,X2),X0)
& v1_group_1(k8_group_4(X0,X1,X2)) )
| ~ m1_group_2(X2,X0)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f56]) ).
fof(f120,plain,
! [X0,X1,X2] :
( ( m1_group_2(k8_group_4(X0,X1,X2),X0)
& v1_group_1(k8_group_4(X0,X1,X2)) )
| ~ m1_group_2(X2,X0)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f119]) ).
fof(f126,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( r1_group_2(X0,k8_group_4(X0,X1,X2),k5_group_4(X0,X3))
| k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2)) != X3
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m1_group_2(X2,X0) )
| ~ m1_group_2(X1,X0) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f64]) ).
fof(f127,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( r1_group_2(X0,k8_group_4(X0,X1,X2),k5_group_4(X0,X3))
| k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2)) != X3
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m1_group_2(X2,X0) )
| ~ m1_group_2(X1,X0) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f126]) ).
fof(f128,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,u1_struct_0(k8_group_4(X0,X2,X3))) != k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,u1_struct_0(k5_group_4(X0,X5)))
& k2_xboole_0(u1_struct_0(X2),u1_struct_0(X3)) = X5
& m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X0))) )
& m2_relset_1(X4,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X4,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X4) )
& m1_group_2(X3,X0) )
& m1_group_2(X2,X0) )
& l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( k2_funct_2(u1_struct_0(sK0),u1_struct_0(X1),X4,u1_struct_0(k8_group_4(sK0,X2,X3))) != k2_funct_2(u1_struct_0(sK0),u1_struct_0(X1),X4,u1_struct_0(k5_group_4(sK0,X5)))
& k2_xboole_0(u1_struct_0(X2),u1_struct_0(X3)) = X5
& m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(sK0))) )
& m2_relset_1(X4,u1_struct_0(sK0),u1_struct_0(X1))
& v1_funct_2(X4,u1_struct_0(sK0),u1_struct_0(X1))
& v1_funct_1(X4) )
& m1_group_2(X3,sK0) )
& m1_group_2(X2,sK0) )
& l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
& l1_group_1(sK0)
& v4_group_1(sK0)
& v3_group_1(sK0)
& ~ v3_struct_0(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f129,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( k2_funct_2(u1_struct_0(sK0),u1_struct_0(X1),X4,u1_struct_0(k8_group_4(sK0,X2,X3))) != k2_funct_2(u1_struct_0(sK0),u1_struct_0(X1),X4,u1_struct_0(k5_group_4(sK0,X5)))
& k2_xboole_0(u1_struct_0(X2),u1_struct_0(X3)) = X5
& m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(sK0))) )
& m2_relset_1(X4,u1_struct_0(sK0),u1_struct_0(X1))
& v1_funct_2(X4,u1_struct_0(sK0),u1_struct_0(X1))
& v1_funct_1(X4) )
& m1_group_2(X3,sK0) )
& m1_group_2(X2,sK0) )
& l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),X4,u1_struct_0(k8_group_4(sK0,X2,X3))) != k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),X4,u1_struct_0(k5_group_4(sK0,X5)))
& k2_xboole_0(u1_struct_0(X2),u1_struct_0(X3)) = X5
& m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(sK0))) )
& m2_relset_1(X4,u1_struct_0(sK0),u1_struct_0(sK1))
& v1_funct_2(X4,u1_struct_0(sK0),u1_struct_0(sK1))
& v1_funct_1(X4) )
& m1_group_2(X3,sK0) )
& m1_group_2(X2,sK0) )
& l1_group_1(sK1)
& v4_group_1(sK1)
& v3_group_1(sK1)
& ~ v3_struct_0(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f130,plain,
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),X4,u1_struct_0(k8_group_4(sK0,X2,X3))) != k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),X4,u1_struct_0(k5_group_4(sK0,X5)))
& k2_xboole_0(u1_struct_0(X2),u1_struct_0(X3)) = X5
& m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(sK0))) )
& m2_relset_1(X4,u1_struct_0(sK0),u1_struct_0(sK1))
& v1_funct_2(X4,u1_struct_0(sK0),u1_struct_0(sK1))
& v1_funct_1(X4) )
& m1_group_2(X3,sK0) )
& m1_group_2(X2,sK0) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),X4,u1_struct_0(k5_group_4(sK0,X5))) != k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),X4,u1_struct_0(k8_group_4(sK0,sK2,X3)))
& k2_xboole_0(u1_struct_0(sK2),u1_struct_0(X3)) = X5
& m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(sK0))) )
& m2_relset_1(X4,u1_struct_0(sK0),u1_struct_0(sK1))
& v1_funct_2(X4,u1_struct_0(sK0),u1_struct_0(sK1))
& v1_funct_1(X4) )
& m1_group_2(X3,sK0) )
& m1_group_2(sK2,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f131,plain,
( ? [X3] :
( ? [X4] :
( ? [X5] :
( k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),X4,u1_struct_0(k5_group_4(sK0,X5))) != k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),X4,u1_struct_0(k8_group_4(sK0,sK2,X3)))
& k2_xboole_0(u1_struct_0(sK2),u1_struct_0(X3)) = X5
& m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(sK0))) )
& m2_relset_1(X4,u1_struct_0(sK0),u1_struct_0(sK1))
& v1_funct_2(X4,u1_struct_0(sK0),u1_struct_0(sK1))
& v1_funct_1(X4) )
& m1_group_2(X3,sK0) )
=> ( ? [X4] :
( ? [X5] :
( k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),X4,u1_struct_0(k5_group_4(sK0,X5))) != k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),X4,u1_struct_0(k8_group_4(sK0,sK2,sK3)))
& k2_xboole_0(u1_struct_0(sK2),u1_struct_0(sK3)) = X5
& m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(sK0))) )
& m2_relset_1(X4,u1_struct_0(sK0),u1_struct_0(sK1))
& v1_funct_2(X4,u1_struct_0(sK0),u1_struct_0(sK1))
& v1_funct_1(X4) )
& m1_group_2(sK3,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f132,plain,
( ? [X4] :
( ? [X5] :
( k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),X4,u1_struct_0(k5_group_4(sK0,X5))) != k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),X4,u1_struct_0(k8_group_4(sK0,sK2,sK3)))
& k2_xboole_0(u1_struct_0(sK2),u1_struct_0(sK3)) = X5
& m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(sK0))) )
& m2_relset_1(X4,u1_struct_0(sK0),u1_struct_0(sK1))
& v1_funct_2(X4,u1_struct_0(sK0),u1_struct_0(sK1))
& v1_funct_1(X4) )
=> ( ? [X5] :
( k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK4,u1_struct_0(k8_group_4(sK0,sK2,sK3))) != k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK4,u1_struct_0(k5_group_4(sK0,X5)))
& k2_xboole_0(u1_struct_0(sK2),u1_struct_0(sK3)) = X5
& m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(sK0))) )
& m2_relset_1(sK4,u1_struct_0(sK0),u1_struct_0(sK1))
& v1_funct_2(sK4,u1_struct_0(sK0),u1_struct_0(sK1))
& v1_funct_1(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f133,plain,
( ? [X5] :
( k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK4,u1_struct_0(k8_group_4(sK0,sK2,sK3))) != k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK4,u1_struct_0(k5_group_4(sK0,X5)))
& k2_xboole_0(u1_struct_0(sK2),u1_struct_0(sK3)) = X5
& m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(sK0))) )
=> ( k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK4,u1_struct_0(k8_group_4(sK0,sK2,sK3))) != k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK4,u1_struct_0(k5_group_4(sK0,sK5)))
& k2_xboole_0(u1_struct_0(sK2),u1_struct_0(sK3)) = sK5
& m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK0))) ) ),
introduced(choice_axiom,[]) ).
fof(f134,plain,
( k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK4,u1_struct_0(k8_group_4(sK0,sK2,sK3))) != k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK4,u1_struct_0(k5_group_4(sK0,sK5)))
& k2_xboole_0(u1_struct_0(sK2),u1_struct_0(sK3)) = sK5
& m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK0)))
& m2_relset_1(sK4,u1_struct_0(sK0),u1_struct_0(sK1))
& v1_funct_2(sK4,u1_struct_0(sK0),u1_struct_0(sK1))
& v1_funct_1(sK4)
& m1_group_2(sK3,sK0)
& m1_group_2(sK2,sK0)
& l1_group_1(sK1)
& v4_group_1(sK1)
& v3_group_1(sK1)
& ~ v3_struct_0(sK1)
& l1_group_1(sK0)
& v4_group_1(sK0)
& v3_group_1(sK0)
& ~ v3_struct_0(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f72,f133,f132,f131,f130,f129,f128]) ).
fof(f164,plain,
! [X0,X1,X2] :
( ( ( r1_group_2(X0,X1,X2)
| X1 != X2 )
& ( X1 = X2
| ~ r1_group_2(X0,X1,X2) ) )
| ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2)
| ~ m1_group_2(X1,X0)
| ~ v1_group_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f114]) ).
fof(f165,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f134]) ).
fof(f166,plain,
v3_group_1(sK0),
inference(cnf_transformation,[],[f134]) ).
fof(f167,plain,
v4_group_1(sK0),
inference(cnf_transformation,[],[f134]) ).
fof(f168,plain,
l1_group_1(sK0),
inference(cnf_transformation,[],[f134]) ).
fof(f173,plain,
m1_group_2(sK2,sK0),
inference(cnf_transformation,[],[f134]) ).
fof(f174,plain,
m1_group_2(sK3,sK0),
inference(cnf_transformation,[],[f134]) ).
fof(f178,plain,
m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK0))),
inference(cnf_transformation,[],[f134]) ).
fof(f179,plain,
k2_xboole_0(u1_struct_0(sK2),u1_struct_0(sK3)) = sK5,
inference(cnf_transformation,[],[f134]) ).
fof(f180,plain,
k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK4,u1_struct_0(k8_group_4(sK0,sK2,sK3))) != k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK4,u1_struct_0(k5_group_4(sK0,sK5))),
inference(cnf_transformation,[],[f134]) ).
fof(f230,plain,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X1,X0),
inference(cnf_transformation,[],[f41]) ).
fof(f241,plain,
! [X2,X0,X1] :
( X1 = X2
| ~ r1_group_2(X0,X1,X2)
| ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2)
| ~ m1_group_2(X1,X0)
| ~ v1_group_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f164]) ).
fof(f244,plain,
! [X0,X1] :
( v1_group_1(k5_group_4(X0,X1))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f245,plain,
! [X0,X1] :
( m1_group_2(k5_group_4(X0,X1),X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f246,plain,
! [X2,X0,X1] :
( v1_group_1(k8_group_4(X0,X1,X2))
| ~ m1_group_2(X2,X0)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f247,plain,
! [X2,X0,X1] :
( m1_group_2(k8_group_4(X0,X1,X2),X0)
| ~ m1_group_2(X2,X0)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f255,plain,
! [X2,X3,X0,X1] :
( r1_group_2(X0,k8_group_4(X0,X1,X2),k5_group_4(X0,X3))
| k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2)) != X3
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_group_2(X2,X0)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f257,plain,
! [X2,X0,X1] :
( r1_group_2(X0,k8_group_4(X0,X1,X2),k5_group_4(X0,k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2))))
| ~ m1_subset_1(k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2)),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_group_2(X2,X0)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(equality_resolution,[],[f255]) ).
cnf(c_49,negated_conjecture,
k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK4,u1_struct_0(k8_group_4(sK0,sK2,sK3))) != k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK4,u1_struct_0(k5_group_4(sK0,sK5))),
inference(cnf_transformation,[],[f180]) ).
cnf(c_50,negated_conjecture,
k2_xboole_0(u1_struct_0(sK2),u1_struct_0(sK3)) = sK5,
inference(cnf_transformation,[],[f179]) ).
cnf(c_51,negated_conjecture,
m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK0))),
inference(cnf_transformation,[],[f178]) ).
cnf(c_55,negated_conjecture,
m1_group_2(sK3,sK0),
inference(cnf_transformation,[],[f174]) ).
cnf(c_56,negated_conjecture,
m1_group_2(sK2,sK0),
inference(cnf_transformation,[],[f173]) ).
cnf(c_61,negated_conjecture,
l1_group_1(sK0),
inference(cnf_transformation,[],[f168]) ).
cnf(c_62,negated_conjecture,
v4_group_1(sK0),
inference(cnf_transformation,[],[f167]) ).
cnf(c_63,negated_conjecture,
v3_group_1(sK0),
inference(cnf_transformation,[],[f166]) ).
cnf(c_64,negated_conjecture,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f165]) ).
cnf(c_109,plain,
k2_xboole_0(X0,X1) = k2_xboole_0(X1,X0),
inference(cnf_transformation,[],[f230]) ).
cnf(c_121,plain,
( ~ r1_group_2(X0,X1,X2)
| ~ m1_group_2(X1,X0)
| ~ m1_group_2(X2,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X1)
| ~ v1_group_1(X2)
| X1 = X2
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f241]) ).
cnf(c_123,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| m1_group_2(k5_group_4(X1,X0),X1)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f245]) ).
cnf(c_124,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v1_group_1(k5_group_4(X1,X0))
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f244]) ).
cnf(c_125,plain,
( ~ m1_group_2(X0,X1)
| ~ m1_group_2(X2,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| m1_group_2(k8_group_4(X1,X0,X2),X1)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f247]) ).
cnf(c_126,plain,
( ~ m1_group_2(X0,X1)
| ~ m1_group_2(X2,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v1_group_1(k8_group_4(X1,X0,X2))
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f246]) ).
cnf(c_134,plain,
( ~ m1_subset_1(k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X2)))
| ~ m1_group_2(X0,X2)
| ~ m1_group_2(X1,X2)
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| r1_group_2(X2,k8_group_4(X2,X0,X1),k5_group_4(X2,k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1))))
| v3_struct_0(X2) ),
inference(cnf_transformation,[],[f257]) ).
cnf(c_2301,plain,
( X0 != sK0
| ~ m1_subset_1(k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2)),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_group_2(X1,X0)
| ~ m1_group_2(X2,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| r1_group_2(X0,k8_group_4(X0,X1,X2),k5_group_4(X0,k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2))))
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_62,c_134]) ).
cnf(c_2302,plain,
( ~ m1_subset_1(k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_group_2(X0,sK0)
| ~ m1_group_2(X1,sK0)
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| r1_group_2(sK0,k8_group_4(sK0,X0,X1),k5_group_4(sK0,k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1))))
| v3_struct_0(sK0) ),
inference(unflattening,[status(thm)],[c_2301]) ).
cnf(c_2304,plain,
( r1_group_2(sK0,k8_group_4(sK0,X0,X1),k5_group_4(sK0,k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1))))
| ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0)
| ~ m1_subset_1(k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(global_subsumption_just,[status(thm)],[c_2302,c_63,c_61,c_64,c_2302]) ).
cnf(c_2305,plain,
( ~ m1_subset_1(k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_group_2(X0,sK0)
| ~ m1_group_2(X1,sK0)
| r1_group_2(sK0,k8_group_4(sK0,X0,X1),k5_group_4(sK0,k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1)))) ),
inference(renaming,[status(thm)],[c_2304]) ).
cnf(c_2319,plain,
( X0 != sK0
| ~ r1_group_2(X0,X1,X2)
| ~ m1_group_2(X1,X0)
| ~ m1_group_2(X2,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X1)
| ~ v1_group_1(X2)
| X1 = X2
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_62,c_121]) ).
cnf(c_2320,plain,
( ~ r1_group_2(sK0,X0,X1)
| ~ m1_group_2(X0,sK0)
| ~ m1_group_2(X1,sK0)
| ~ v1_group_1(X0)
| ~ v1_group_1(X1)
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| X0 = X1
| v3_struct_0(sK0) ),
inference(unflattening,[status(thm)],[c_2319]) ).
cnf(c_2322,plain,
( X0 = X1
| ~ v1_group_1(X1)
| ~ v1_group_1(X0)
| ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0)
| ~ r1_group_2(sK0,X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_2320,c_63,c_61,c_64,c_2320]) ).
cnf(c_2323,plain,
( ~ r1_group_2(sK0,X0,X1)
| ~ m1_group_2(X0,sK0)
| ~ m1_group_2(X1,sK0)
| ~ v1_group_1(X0)
| ~ v1_group_1(X1)
| X0 = X1 ),
inference(renaming,[status(thm)],[c_2322]) ).
cnf(c_2365,plain,
( X0 != sK0
| ~ m1_group_2(X1,X0)
| ~ m1_group_2(X2,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v1_group_1(k8_group_4(X0,X1,X2))
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_62,c_126]) ).
cnf(c_2366,plain,
( ~ m1_group_2(X0,sK0)
| ~ m1_group_2(X1,sK0)
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| v1_group_1(k8_group_4(sK0,X0,X1))
| v3_struct_0(sK0) ),
inference(unflattening,[status(thm)],[c_2365]) ).
cnf(c_2368,plain,
( v1_group_1(k8_group_4(sK0,X0,X1))
| ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0) ),
inference(global_subsumption_just,[status(thm)],[c_2366,c_63,c_61,c_64,c_2366]) ).
cnf(c_2369,plain,
( ~ m1_group_2(X0,sK0)
| ~ m1_group_2(X1,sK0)
| v1_group_1(k8_group_4(sK0,X0,X1)) ),
inference(renaming,[status(thm)],[c_2368]) ).
cnf(c_2380,plain,
( X0 != sK0
| ~ m1_group_2(X1,X0)
| ~ m1_group_2(X2,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| m1_group_2(k8_group_4(X0,X1,X2),X0)
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_62,c_125]) ).
cnf(c_2381,plain,
( ~ m1_group_2(X0,sK0)
| ~ m1_group_2(X1,sK0)
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| m1_group_2(k8_group_4(sK0,X0,X1),sK0)
| v3_struct_0(sK0) ),
inference(unflattening,[status(thm)],[c_2380]) ).
cnf(c_2383,plain,
( m1_group_2(k8_group_4(sK0,X0,X1),sK0)
| ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0) ),
inference(global_subsumption_just,[status(thm)],[c_2381,c_63,c_61,c_64,c_2381]) ).
cnf(c_2384,plain,
( ~ m1_group_2(X0,sK0)
| ~ m1_group_2(X1,sK0)
| m1_group_2(k8_group_4(sK0,X0,X1),sK0) ),
inference(renaming,[status(thm)],[c_2383]) ).
cnf(c_2395,plain,
( X0 != sK0
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v1_group_1(k5_group_4(X0,X1))
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_62,c_124]) ).
cnf(c_2396,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| v1_group_1(k5_group_4(sK0,X0))
| v3_struct_0(sK0) ),
inference(unflattening,[status(thm)],[c_2395]) ).
cnf(c_2398,plain,
( v1_group_1(k5_group_4(sK0,X0))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(global_subsumption_just,[status(thm)],[c_2396,c_63,c_61,c_64,c_2396]) ).
cnf(c_2399,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| v1_group_1(k5_group_4(sK0,X0)) ),
inference(renaming,[status(thm)],[c_2398]) ).
cnf(c_2407,plain,
( X0 != sK0
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| m1_group_2(k5_group_4(X0,X1),X0)
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_62,c_123]) ).
cnf(c_2408,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| m1_group_2(k5_group_4(sK0,X0),sK0)
| v3_struct_0(sK0) ),
inference(unflattening,[status(thm)],[c_2407]) ).
cnf(c_2410,plain,
( m1_group_2(k5_group_4(sK0,X0),sK0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(global_subsumption_just,[status(thm)],[c_2408,c_63,c_61,c_64,c_2408]) ).
cnf(c_2411,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| m1_group_2(k5_group_4(sK0,X0),sK0) ),
inference(renaming,[status(thm)],[c_2410]) ).
cnf(c_2496,plain,
u1_struct_0(sK0) = sP2_iProver_def,
definition ).
cnf(c_2497,plain,
k1_zfmisc_1(sP2_iProver_def) = sP3_iProver_def,
definition ).
cnf(c_2498,plain,
u1_struct_0(sK2) = sP4_iProver_def,
definition ).
cnf(c_2499,plain,
u1_struct_0(sK3) = sP5_iProver_def,
definition ).
cnf(c_2500,plain,
k2_xboole_0(sP4_iProver_def,sP5_iProver_def) = sP6_iProver_def,
definition ).
cnf(c_2501,plain,
u1_struct_0(sK1) = sP7_iProver_def,
definition ).
cnf(c_2502,plain,
k8_group_4(sK0,sK2,sK3) = sP8_iProver_def,
definition ).
cnf(c_2503,plain,
u1_struct_0(sP8_iProver_def) = sP9_iProver_def,
definition ).
cnf(c_2504,plain,
k2_funct_2(sP2_iProver_def,sP7_iProver_def,sK4,sP9_iProver_def) = sP10_iProver_def,
definition ).
cnf(c_2505,plain,
k5_group_4(sK0,sK5) = sP11_iProver_def,
definition ).
cnf(c_2506,plain,
u1_struct_0(sP11_iProver_def) = sP12_iProver_def,
definition ).
cnf(c_2507,plain,
k2_funct_2(sP2_iProver_def,sP7_iProver_def,sK4,sP12_iProver_def) = sP13_iProver_def,
definition ).
cnf(c_2514,negated_conjecture,
m1_group_2(sK2,sK0),
inference(demodulation,[status(thm)],[c_56]) ).
cnf(c_2515,negated_conjecture,
m1_group_2(sK3,sK0),
inference(demodulation,[status(thm)],[c_55]) ).
cnf(c_2516,negated_conjecture,
m1_subset_1(sK5,sP3_iProver_def),
inference(demodulation,[status(thm)],[c_51,c_2496,c_2497]) ).
cnf(c_2517,negated_conjecture,
sP6_iProver_def = sK5,
inference(demodulation,[status(thm)],[c_50,c_2499,c_2498,c_2500]) ).
cnf(c_2518,negated_conjecture,
sP10_iProver_def != sP13_iProver_def,
inference(demodulation,[status(thm)],[c_49,c_2505,c_2506,c_2507,c_2502,c_2503,c_2501,c_2504]) ).
cnf(c_3747,plain,
m1_subset_1(sP6_iProver_def,sP3_iProver_def),
inference(light_normalisation,[status(thm)],[c_2516,c_2517]) ).
cnf(c_3758,plain,
( ~ m1_subset_1(X0,sP3_iProver_def)
| v1_group_1(k5_group_4(sK0,X0)) ),
inference(light_normalisation,[status(thm)],[c_2399,c_2496,c_2497]) ).
cnf(c_3782,plain,
( ~ m1_subset_1(X0,sP3_iProver_def)
| m1_group_2(k5_group_4(sK0,X0),sK0) ),
inference(light_normalisation,[status(thm)],[c_2411,c_2496,c_2497]) ).
cnf(c_4039,plain,
( ~ m1_subset_1(k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),sP3_iProver_def)
| ~ m1_group_2(X0,sK0)
| ~ m1_group_2(X1,sK0)
| r1_group_2(sK0,k8_group_4(sK0,X0,X1),k5_group_4(sK0,k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1)))) ),
inference(light_normalisation,[status(thm)],[c_2305,c_2496,c_2497]) ).
cnf(c_4058,plain,
( ~ m1_subset_1(k2_xboole_0(u1_struct_0(X0),u1_struct_0(sK3)),sP3_iProver_def)
| ~ m1_group_2(X0,sK0)
| ~ m1_group_2(sK3,sK0)
| r1_group_2(sK0,k8_group_4(sK0,X0,sK3),k5_group_4(sK0,k2_xboole_0(u1_struct_0(X0),sP5_iProver_def))) ),
inference(superposition,[status(thm)],[c_2499,c_4039]) ).
cnf(c_4076,plain,
( ~ m1_subset_1(k2_xboole_0(u1_struct_0(X0),sP5_iProver_def),sP3_iProver_def)
| ~ m1_group_2(X0,sK0)
| ~ m1_group_2(sK3,sK0)
| r1_group_2(sK0,k8_group_4(sK0,X0,sK3),k5_group_4(sK0,k2_xboole_0(u1_struct_0(X0),sP5_iProver_def))) ),
inference(light_normalisation,[status(thm)],[c_4058,c_2499]) ).
cnf(c_4077,plain,
( ~ m1_subset_1(k2_xboole_0(u1_struct_0(X0),sP5_iProver_def),sP3_iProver_def)
| ~ m1_group_2(X0,sK0)
| r1_group_2(sK0,k8_group_4(sK0,X0,sK3),k5_group_4(sK0,k2_xboole_0(u1_struct_0(X0),sP5_iProver_def))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4076,c_2515]) ).
cnf(c_4157,plain,
( ~ m1_subset_1(k2_xboole_0(sP5_iProver_def,u1_struct_0(X0)),sP3_iProver_def)
| ~ m1_group_2(X0,sK0)
| r1_group_2(sK0,k8_group_4(sK0,X0,sK3),k5_group_4(sK0,k2_xboole_0(sP5_iProver_def,u1_struct_0(X0)))) ),
inference(demodulation,[status(thm)],[c_4077,c_109]) ).
cnf(c_4166,plain,
( ~ m1_subset_1(k2_xboole_0(sP5_iProver_def,u1_struct_0(sK2)),sP3_iProver_def)
| ~ m1_group_2(sK2,sK0)
| r1_group_2(sK0,k8_group_4(sK0,sK2,sK3),k5_group_4(sK0,k2_xboole_0(sP5_iProver_def,sP4_iProver_def))) ),
inference(superposition,[status(thm)],[c_2498,c_4157]) ).
cnf(c_4184,plain,
( ~ m1_subset_1(k2_xboole_0(sP5_iProver_def,sP4_iProver_def),sP3_iProver_def)
| ~ m1_group_2(sK2,sK0)
| r1_group_2(sK0,sP8_iProver_def,k5_group_4(sK0,k2_xboole_0(sP5_iProver_def,sP4_iProver_def))) ),
inference(light_normalisation,[status(thm)],[c_4166,c_2498,c_2502]) ).
cnf(c_4185,plain,
( ~ m1_subset_1(k2_xboole_0(sP5_iProver_def,sP4_iProver_def),sP3_iProver_def)
| r1_group_2(sK0,sP8_iProver_def,k5_group_4(sK0,k2_xboole_0(sP5_iProver_def,sP4_iProver_def))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4184,c_2514]) ).
cnf(c_4212,plain,
( ~ m1_subset_1(sP6_iProver_def,sP3_iProver_def)
| r1_group_2(sK0,sP8_iProver_def,k5_group_4(sK0,sP6_iProver_def)) ),
inference(demodulation,[status(thm)],[c_4185,c_109,c_2500]) ).
cnf(c_4213,plain,
r1_group_2(sK0,sP8_iProver_def,k5_group_4(sK0,sP6_iProver_def)),
inference(forward_subsumption_resolution,[status(thm)],[c_4212,c_3747]) ).
cnf(c_4311,plain,
( ~ m1_group_2(sK2,sK0)
| ~ m1_group_2(sK3,sK0)
| m1_group_2(sP8_iProver_def,sK0) ),
inference(superposition,[status(thm)],[c_2502,c_2384]) ).
cnf(c_4312,plain,
( ~ m1_group_2(sK2,sK0)
| ~ m1_group_2(sK3,sK0)
| v1_group_1(sP8_iProver_def) ),
inference(superposition,[status(thm)],[c_2502,c_2369]) ).
cnf(c_4314,plain,
v1_group_1(sP8_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_4312,c_2515,c_2514]) ).
cnf(c_4315,plain,
m1_group_2(sP8_iProver_def,sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_4311,c_2515,c_2514]) ).
cnf(c_4319,plain,
k5_group_4(sK0,sP6_iProver_def) = sP11_iProver_def,
inference(light_normalisation,[status(thm)],[c_2505,c_2517]) ).
cnf(c_4321,plain,
r1_group_2(sK0,sP8_iProver_def,sP11_iProver_def),
inference(demodulation,[status(thm)],[c_4213,c_4319]) ).
cnf(c_4322,plain,
( ~ m1_subset_1(sP6_iProver_def,sP3_iProver_def)
| m1_group_2(sP11_iProver_def,sK0) ),
inference(superposition,[status(thm)],[c_4319,c_3782]) ).
cnf(c_4323,plain,
( ~ m1_subset_1(sP6_iProver_def,sP3_iProver_def)
| v1_group_1(sP11_iProver_def) ),
inference(superposition,[status(thm)],[c_4319,c_3758]) ).
cnf(c_4324,plain,
v1_group_1(sP11_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_4323,c_3747]) ).
cnf(c_4325,plain,
m1_group_2(sP11_iProver_def,sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_4322,c_3747]) ).
cnf(c_4475,plain,
( ~ m1_group_2(sP8_iProver_def,sK0)
| ~ m1_group_2(sP11_iProver_def,sK0)
| ~ v1_group_1(sP8_iProver_def)
| ~ v1_group_1(sP11_iProver_def)
| sP8_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_4321,c_2323]) ).
cnf(c_4476,plain,
sP8_iProver_def = sP11_iProver_def,
inference(forward_subsumption_resolution,[status(thm)],[c_4475,c_4324,c_4314,c_4325,c_4315]) ).
cnf(c_4482,plain,
u1_struct_0(sP8_iProver_def) = sP12_iProver_def,
inference(demodulation,[status(thm)],[c_2506,c_4476]) ).
cnf(c_4483,plain,
sP9_iProver_def = sP12_iProver_def,
inference(light_normalisation,[status(thm)],[c_4482,c_2503]) ).
cnf(c_4604,plain,
sP10_iProver_def = sP13_iProver_def,
inference(light_normalisation,[status(thm)],[c_2507,c_2504,c_4483]) ).
cnf(c_4605,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_4604,c_2518]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP640+1 : TPTP v8.1.2. Released v3.4.0.
% 0.08/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n016.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 : Fri May 3 00:29:15 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 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
% 0.45/1.13 % SZS status Started for theBenchmark.p
% 0.45/1.13 % SZS status Theorem for theBenchmark.p
% 0.45/1.13
% 0.45/1.13 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.45/1.13
% 0.45/1.13 ------ iProver source info
% 0.45/1.13
% 0.45/1.13 git: date: 2024-05-02 19:28:25 +0000
% 0.45/1.13 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.45/1.13 git: non_committed_changes: false
% 0.45/1.13
% 0.45/1.13 ------ Parsing...
% 0.45/1.13 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.45/1.13
% 0.45/1.13 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e
% 0.45/1.13
% 0.45/1.13 ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.45/1.13
% 0.45/1.13 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.45/1.13 ------ Proving...
% 0.45/1.13 ------ Problem Properties
% 0.45/1.13
% 0.45/1.13
% 0.45/1.13 clauses 109
% 0.45/1.13 conjectures 11
% 0.45/1.13 EPR 31
% 0.45/1.13 Horn 99
% 0.45/1.13 unary 50
% 0.45/1.13 binary 22
% 0.45/1.13 lits 229
% 0.45/1.13 lits eq 45
% 0.45/1.13 fd_pure 0
% 0.45/1.13 fd_pseudo 0
% 0.45/1.13 fd_cond 3
% 0.45/1.13 fd_pseudo_cond 7
% 0.45/1.13 AC symbols 0
% 0.45/1.13
% 0.45/1.13 ------ Schedule dynamic 5 is on
% 0.45/1.13
% 0.45/1.13 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.45/1.13
% 0.45/1.13
% 0.45/1.13 ------
% 0.45/1.13 Current options:
% 0.45/1.13 ------
% 0.45/1.13
% 0.45/1.13
% 0.45/1.13
% 0.45/1.13
% 0.45/1.13 ------ Proving...
% 0.45/1.13
% 0.45/1.13
% 0.45/1.13 % SZS status Theorem for theBenchmark.p
% 0.45/1.13
% 0.45/1.13 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.45/1.13
% 0.45/1.14
%------------------------------------------------------------------------------