TSTP Solution File: ALG216+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ALG216+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 02:04:18 EDT 2024
% Result : Theorem 3.00s 1.17s
% Output : CNFRefutation 3.00s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( l3_vectsp_1(X0)
& v8_vectsp_1(X0)
& v7_vectsp_1(X0)
& v6_vectsp_1(X0)
& v4_group_1(X0)
& v6_rlvect_1(X0)
& v5_rlvect_1(X0)
& v4_rlvect_1(X0)
& v3_rlvect_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l1_vectsp_2(X1,X0)
& v5_vectsp_2(X1,X0)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ( k1_rlvect_1(X0) != k2_group_1(X0)
=> ( ~ v1_rmod_5(k8_rlvect_2(X1,k1_rlvect_1(X1),X2),X0,X1)
& ~ v1_rmod_5(k8_rlvect_2(X1,X2,k1_rlvect_1(X1)),X0,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_rmod_5) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l3_vectsp_1(X0)
& v8_vectsp_1(X0)
& v7_vectsp_1(X0)
& v6_vectsp_1(X0)
& v4_group_1(X0)
& v6_rlvect_1(X0)
& v5_rlvect_1(X0)
& v4_rlvect_1(X0)
& v3_rlvect_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l1_vectsp_2(X1,X0)
& v5_vectsp_2(X1,X0)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ( k1_rlvect_1(X0) != k2_group_1(X0)
=> ( ~ v1_rmod_5(k8_rlvect_2(X1,k1_rlvect_1(X1),X2),X0,X1)
& ~ v1_rmod_5(k8_rlvect_2(X1,X2,k1_rlvect_1(X1)),X0,X1) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f31,axiom,
! [X0] :
( l1_rlvect_1(X0)
=> l2_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_rlvect_1) ).
fof(f33,axiom,
! [X0] :
( l2_struct_0(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l2_struct_0) ).
fof(f34,axiom,
! [X0] :
( l2_vectsp_1(X0)
=> ( l2_struct_0(X0)
& l1_vectsp_1(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l2_vectsp_1) ).
fof(f47,axiom,
! [X0] :
( l2_struct_0(X0)
=> m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_rlvect_1) ).
fof(f50,axiom,
! [X0] :
( l1_struct_0(X0)
=> ! [X1] :
( l1_vectsp_2(X1,X0)
=> l1_rlvect_1(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_vectsp_2) ).
fof(f51,axiom,
! [X0] :
( l3_vectsp_1(X0)
=> ( l2_vectsp_1(X0)
& l1_rlvect_1(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l3_vectsp_1) ).
fof(f54,axiom,
! [X0] :
( ( l3_vectsp_1(X0)
& v8_vectsp_1(X0)
& v7_vectsp_1(X0)
& v6_vectsp_1(X0)
& v4_group_1(X0)
& v6_rlvect_1(X0)
& v5_rlvect_1(X0)
& v4_rlvect_1(X0)
& v3_rlvect_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l1_vectsp_2(X1,X0)
& v5_vectsp_2(X1,X0)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( v1_rmod_5(k8_rlvect_2(X1,X2,X3),X0,X1)
=> ( ( k1_rlvect_1(X1) != X3
& k1_rlvect_1(X1) != X2 )
| k1_rlvect_1(X0) = k2_group_1(X0) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_rmod_5) ).
fof(f59,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( v1_rmod_5(k8_rlvect_2(X1,k1_rlvect_1(X1),X2),X0,X1)
| v1_rmod_5(k8_rlvect_2(X1,X2,k1_rlvect_1(X1)),X0,X1) )
& k1_rlvect_1(X0) != k2_group_1(X0)
& m1_subset_1(X2,u1_struct_0(X1)) )
& l1_vectsp_2(X1,X0)
& v5_vectsp_2(X1,X0)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1) )
& l3_vectsp_1(X0)
& v8_vectsp_1(X0)
& v7_vectsp_1(X0)
& v6_vectsp_1(X0)
& v4_group_1(X0)
& v6_rlvect_1(X0)
& v5_rlvect_1(X0)
& v4_rlvect_1(X0)
& v3_rlvect_1(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f60,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( v1_rmod_5(k8_rlvect_2(X1,k1_rlvect_1(X1),X2),X0,X1)
| v1_rmod_5(k8_rlvect_2(X1,X2,k1_rlvect_1(X1)),X0,X1) )
& k1_rlvect_1(X0) != k2_group_1(X0)
& m1_subset_1(X2,u1_struct_0(X1)) )
& l1_vectsp_2(X1,X0)
& v5_vectsp_2(X1,X0)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1) )
& l3_vectsp_1(X0)
& v8_vectsp_1(X0)
& v7_vectsp_1(X0)
& v6_vectsp_1(X0)
& v4_group_1(X0)
& v6_rlvect_1(X0)
& v5_rlvect_1(X0)
& v4_rlvect_1(X0)
& v3_rlvect_1(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f59]) ).
fof(f78,plain,
! [X0] :
( l2_struct_0(X0)
| ~ l1_rlvect_1(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f79,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l2_struct_0(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f80,plain,
! [X0] :
( ( l2_struct_0(X0)
& l1_vectsp_1(X0) )
| ~ l2_vectsp_1(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f90,plain,
! [X0] :
( m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| ~ l2_struct_0(X0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f95,plain,
! [X0] :
( ! [X1] :
( l1_rlvect_1(X1)
| ~ l1_vectsp_2(X1,X0) )
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f96,plain,
! [X0] :
( ( l2_vectsp_1(X0)
& l1_rlvect_1(X0) )
| ~ l3_vectsp_1(X0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f97,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( k1_rlvect_1(X1) != X3
& k1_rlvect_1(X1) != X2 )
| k1_rlvect_1(X0) = k2_group_1(X0)
| ~ v1_rmod_5(k8_rlvect_2(X1,X2,X3),X0,X1)
| ~ m1_subset_1(X3,u1_struct_0(X1)) )
| ~ m1_subset_1(X2,u1_struct_0(X1)) )
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1) )
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f98,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( k1_rlvect_1(X1) != X3
& k1_rlvect_1(X1) != X2 )
| k1_rlvect_1(X0) = k2_group_1(X0)
| ~ v1_rmod_5(k8_rlvect_2(X1,X2,X3),X0,X1)
| ~ m1_subset_1(X3,u1_struct_0(X1)) )
| ~ m1_subset_1(X2,u1_struct_0(X1)) )
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1) )
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f97]) ).
fof(f99,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ( v1_rmod_5(k8_rlvect_2(X1,k1_rlvect_1(X1),X2),X0,X1)
| v1_rmod_5(k8_rlvect_2(X1,X2,k1_rlvect_1(X1)),X0,X1) )
& k1_rlvect_1(X0) != k2_group_1(X0)
& m1_subset_1(X2,u1_struct_0(X1)) )
& l1_vectsp_2(X1,X0)
& v5_vectsp_2(X1,X0)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1) )
& l3_vectsp_1(X0)
& v8_vectsp_1(X0)
& v7_vectsp_1(X0)
& v6_vectsp_1(X0)
& v4_group_1(X0)
& v6_rlvect_1(X0)
& v5_rlvect_1(X0)
& v4_rlvect_1(X0)
& v3_rlvect_1(X0)
& ~ v3_struct_0(X0) )
=> ( ? [X1] :
( ? [X2] :
( ( v1_rmod_5(k8_rlvect_2(X1,k1_rlvect_1(X1),X2),sK0,X1)
| v1_rmod_5(k8_rlvect_2(X1,X2,k1_rlvect_1(X1)),sK0,X1) )
& k1_rlvect_1(sK0) != k2_group_1(sK0)
& m1_subset_1(X2,u1_struct_0(X1)) )
& l1_vectsp_2(X1,sK0)
& v5_vectsp_2(X1,sK0)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1) )
& l3_vectsp_1(sK0)
& v8_vectsp_1(sK0)
& v7_vectsp_1(sK0)
& v6_vectsp_1(sK0)
& v4_group_1(sK0)
& v6_rlvect_1(sK0)
& v5_rlvect_1(sK0)
& v4_rlvect_1(sK0)
& v3_rlvect_1(sK0)
& ~ v3_struct_0(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f100,plain,
( ? [X1] :
( ? [X2] :
( ( v1_rmod_5(k8_rlvect_2(X1,k1_rlvect_1(X1),X2),sK0,X1)
| v1_rmod_5(k8_rlvect_2(X1,X2,k1_rlvect_1(X1)),sK0,X1) )
& k1_rlvect_1(sK0) != k2_group_1(sK0)
& m1_subset_1(X2,u1_struct_0(X1)) )
& l1_vectsp_2(X1,sK0)
& v5_vectsp_2(X1,sK0)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1) )
=> ( ? [X2] :
( ( v1_rmod_5(k8_rlvect_2(sK1,k1_rlvect_1(sK1),X2),sK0,sK1)
| v1_rmod_5(k8_rlvect_2(sK1,X2,k1_rlvect_1(sK1)),sK0,sK1) )
& k1_rlvect_1(sK0) != k2_group_1(sK0)
& m1_subset_1(X2,u1_struct_0(sK1)) )
& l1_vectsp_2(sK1,sK0)
& v5_vectsp_2(sK1,sK0)
& v6_rlvect_1(sK1)
& v5_rlvect_1(sK1)
& v4_rlvect_1(sK1)
& v3_rlvect_1(sK1)
& ~ v3_struct_0(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f101,plain,
( ? [X2] :
( ( v1_rmod_5(k8_rlvect_2(sK1,k1_rlvect_1(sK1),X2),sK0,sK1)
| v1_rmod_5(k8_rlvect_2(sK1,X2,k1_rlvect_1(sK1)),sK0,sK1) )
& k1_rlvect_1(sK0) != k2_group_1(sK0)
& m1_subset_1(X2,u1_struct_0(sK1)) )
=> ( ( v1_rmod_5(k8_rlvect_2(sK1,k1_rlvect_1(sK1),sK2),sK0,sK1)
| v1_rmod_5(k8_rlvect_2(sK1,sK2,k1_rlvect_1(sK1)),sK0,sK1) )
& k1_rlvect_1(sK0) != k2_group_1(sK0)
& m1_subset_1(sK2,u1_struct_0(sK1)) ) ),
introduced(choice_axiom,[]) ).
fof(f102,plain,
( ( v1_rmod_5(k8_rlvect_2(sK1,k1_rlvect_1(sK1),sK2),sK0,sK1)
| v1_rmod_5(k8_rlvect_2(sK1,sK2,k1_rlvect_1(sK1)),sK0,sK1) )
& k1_rlvect_1(sK0) != k2_group_1(sK0)
& m1_subset_1(sK2,u1_struct_0(sK1))
& l1_vectsp_2(sK1,sK0)
& v5_vectsp_2(sK1,sK0)
& v6_rlvect_1(sK1)
& v5_rlvect_1(sK1)
& v4_rlvect_1(sK1)
& v3_rlvect_1(sK1)
& ~ v3_struct_0(sK1)
& l3_vectsp_1(sK0)
& v8_vectsp_1(sK0)
& v7_vectsp_1(sK0)
& v6_vectsp_1(sK0)
& v4_group_1(sK0)
& v6_rlvect_1(sK0)
& v5_rlvect_1(sK0)
& v4_rlvect_1(sK0)
& v3_rlvect_1(sK0)
& ~ v3_struct_0(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f60,f101,f100,f99]) ).
fof(f139,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f102]) ).
fof(f140,plain,
v3_rlvect_1(sK0),
inference(cnf_transformation,[],[f102]) ).
fof(f141,plain,
v4_rlvect_1(sK0),
inference(cnf_transformation,[],[f102]) ).
fof(f142,plain,
v5_rlvect_1(sK0),
inference(cnf_transformation,[],[f102]) ).
fof(f143,plain,
v6_rlvect_1(sK0),
inference(cnf_transformation,[],[f102]) ).
fof(f144,plain,
v4_group_1(sK0),
inference(cnf_transformation,[],[f102]) ).
fof(f145,plain,
v6_vectsp_1(sK0),
inference(cnf_transformation,[],[f102]) ).
fof(f146,plain,
v7_vectsp_1(sK0),
inference(cnf_transformation,[],[f102]) ).
fof(f147,plain,
v8_vectsp_1(sK0),
inference(cnf_transformation,[],[f102]) ).
fof(f148,plain,
l3_vectsp_1(sK0),
inference(cnf_transformation,[],[f102]) ).
fof(f149,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f102]) ).
fof(f150,plain,
v3_rlvect_1(sK1),
inference(cnf_transformation,[],[f102]) ).
fof(f151,plain,
v4_rlvect_1(sK1),
inference(cnf_transformation,[],[f102]) ).
fof(f152,plain,
v5_rlvect_1(sK1),
inference(cnf_transformation,[],[f102]) ).
fof(f153,plain,
v6_rlvect_1(sK1),
inference(cnf_transformation,[],[f102]) ).
fof(f154,plain,
v5_vectsp_2(sK1,sK0),
inference(cnf_transformation,[],[f102]) ).
fof(f155,plain,
l1_vectsp_2(sK1,sK0),
inference(cnf_transformation,[],[f102]) ).
fof(f156,plain,
m1_subset_1(sK2,u1_struct_0(sK1)),
inference(cnf_transformation,[],[f102]) ).
fof(f157,plain,
k1_rlvect_1(sK0) != k2_group_1(sK0),
inference(cnf_transformation,[],[f102]) ).
fof(f158,plain,
( v1_rmod_5(k8_rlvect_2(sK1,k1_rlvect_1(sK1),sK2),sK0,sK1)
| v1_rmod_5(k8_rlvect_2(sK1,sK2,k1_rlvect_1(sK1)),sK0,sK1) ),
inference(cnf_transformation,[],[f102]) ).
fof(f188,plain,
! [X0] :
( l2_struct_0(X0)
| ~ l1_rlvect_1(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f189,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l2_struct_0(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f191,plain,
! [X0] :
( l2_struct_0(X0)
| ~ l2_vectsp_1(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f207,plain,
! [X0] :
( m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| ~ l2_struct_0(X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f210,plain,
! [X0,X1] :
( l1_rlvect_1(X1)
| ~ l1_vectsp_2(X1,X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f212,plain,
! [X0] :
( l2_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f213,plain,
! [X2,X3,X0,X1] :
( k1_rlvect_1(X1) != X2
| k1_rlvect_1(X0) = k2_group_1(X0)
| ~ v1_rmod_5(k8_rlvect_2(X1,X2,X3),X0,X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f214,plain,
! [X2,X3,X0,X1] :
( k1_rlvect_1(X1) != X3
| k1_rlvect_1(X0) = k2_group_1(X0)
| ~ v1_rmod_5(k8_rlvect_2(X1,X2,X3),X0,X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f215,plain,
! [X2,X0,X1] :
( k1_rlvect_1(X0) = k2_group_1(X0)
| ~ v1_rmod_5(k8_rlvect_2(X1,X2,k1_rlvect_1(X1)),X0,X1)
| ~ m1_subset_1(k1_rlvect_1(X1),u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(equality_resolution,[],[f214]) ).
fof(f216,plain,
! [X3,X0,X1] :
( k1_rlvect_1(X0) = k2_group_1(X0)
| ~ v1_rmod_5(k8_rlvect_2(X1,k1_rlvect_1(X1),X3),X0,X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(k1_rlvect_1(X1),u1_struct_0(X1))
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(equality_resolution,[],[f213]) ).
cnf(c_49,negated_conjecture,
( v1_rmod_5(k8_rlvect_2(sK1,k1_rlvect_1(sK1),sK2),sK0,sK1)
| v1_rmod_5(k8_rlvect_2(sK1,sK2,k1_rlvect_1(sK1)),sK0,sK1) ),
inference(cnf_transformation,[],[f158]) ).
cnf(c_50,negated_conjecture,
k1_rlvect_1(sK0) != k2_group_1(sK0),
inference(cnf_transformation,[],[f157]) ).
cnf(c_51,negated_conjecture,
m1_subset_1(sK2,u1_struct_0(sK1)),
inference(cnf_transformation,[],[f156]) ).
cnf(c_52,negated_conjecture,
l1_vectsp_2(sK1,sK0),
inference(cnf_transformation,[],[f155]) ).
cnf(c_53,negated_conjecture,
v5_vectsp_2(sK1,sK0),
inference(cnf_transformation,[],[f154]) ).
cnf(c_54,negated_conjecture,
v6_rlvect_1(sK1),
inference(cnf_transformation,[],[f153]) ).
cnf(c_55,negated_conjecture,
v5_rlvect_1(sK1),
inference(cnf_transformation,[],[f152]) ).
cnf(c_56,negated_conjecture,
v4_rlvect_1(sK1),
inference(cnf_transformation,[],[f151]) ).
cnf(c_57,negated_conjecture,
v3_rlvect_1(sK1),
inference(cnf_transformation,[],[f150]) ).
cnf(c_58,negated_conjecture,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f149]) ).
cnf(c_59,negated_conjecture,
l3_vectsp_1(sK0),
inference(cnf_transformation,[],[f148]) ).
cnf(c_60,negated_conjecture,
v8_vectsp_1(sK0),
inference(cnf_transformation,[],[f147]) ).
cnf(c_61,negated_conjecture,
v7_vectsp_1(sK0),
inference(cnf_transformation,[],[f146]) ).
cnf(c_62,negated_conjecture,
v6_vectsp_1(sK0),
inference(cnf_transformation,[],[f145]) ).
cnf(c_63,negated_conjecture,
v4_group_1(sK0),
inference(cnf_transformation,[],[f144]) ).
cnf(c_64,negated_conjecture,
v6_rlvect_1(sK0),
inference(cnf_transformation,[],[f143]) ).
cnf(c_65,negated_conjecture,
v5_rlvect_1(sK0),
inference(cnf_transformation,[],[f142]) ).
cnf(c_66,negated_conjecture,
v4_rlvect_1(sK0),
inference(cnf_transformation,[],[f141]) ).
cnf(c_67,negated_conjecture,
v3_rlvect_1(sK0),
inference(cnf_transformation,[],[f140]) ).
cnf(c_68,negated_conjecture,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f139]) ).
cnf(c_98,plain,
( ~ l1_rlvect_1(X0)
| l2_struct_0(X0) ),
inference(cnf_transformation,[],[f188]) ).
cnf(c_99,plain,
( ~ l2_struct_0(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f189]) ).
cnf(c_100,plain,
( ~ l2_vectsp_1(X0)
| l2_struct_0(X0) ),
inference(cnf_transformation,[],[f191]) ).
cnf(c_117,plain,
( ~ l2_struct_0(X0)
| m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f207]) ).
cnf(c_120,plain,
( ~ l1_vectsp_2(X0,X1)
| ~ l1_struct_0(X1)
| l1_rlvect_1(X0) ),
inference(cnf_transformation,[],[f210]) ).
cnf(c_121,plain,
( ~ l3_vectsp_1(X0)
| l2_vectsp_1(X0) ),
inference(cnf_transformation,[],[f212]) ).
cnf(c_123,plain,
( ~ v1_rmod_5(k8_rlvect_2(X0,X1,k1_rlvect_1(X0)),X2,X0)
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_vectsp_2(X0,X2)
| ~ v5_vectsp_2(X0,X2)
| ~ v6_rlvect_1(X0)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X0)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X0)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X0)
| ~ v3_rlvect_1(X2)
| ~ l3_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v4_group_1(X2)
| k1_rlvect_1(X2) = k2_group_1(X2)
| v3_struct_0(X0)
| v3_struct_0(X2) ),
inference(cnf_transformation,[],[f215]) ).
cnf(c_124,plain,
( ~ v1_rmod_5(k8_rlvect_2(X0,k1_rlvect_1(X0),X1),X2,X0)
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_vectsp_2(X0,X2)
| ~ v5_vectsp_2(X0,X2)
| ~ v6_rlvect_1(X0)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X0)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X0)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X0)
| ~ v3_rlvect_1(X2)
| ~ l3_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v4_group_1(X2)
| k1_rlvect_1(X2) = k2_group_1(X2)
| v3_struct_0(X0)
| v3_struct_0(X2) ),
inference(cnf_transformation,[],[f216]) ).
cnf(c_130,plain,
( ~ l3_vectsp_1(sK0)
| l2_vectsp_1(sK0) ),
inference(instantiation,[status(thm)],[c_121]) ).
cnf(c_133,plain,
( ~ l2_vectsp_1(sK0)
| l2_struct_0(sK0) ),
inference(instantiation,[status(thm)],[c_100]) ).
cnf(c_134,plain,
( ~ l2_struct_0(sK0)
| l1_struct_0(sK0) ),
inference(instantiation,[status(thm)],[c_99]) ).
cnf(c_825,plain,
( X0 != X1
| ~ l1_vectsp_2(X0,X2)
| ~ l1_struct_0(X2)
| l2_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_120,c_98]) ).
cnf(c_826,plain,
( ~ l1_vectsp_2(X0,X1)
| ~ l1_struct_0(X1)
| l2_struct_0(X0) ),
inference(unflattening,[status(thm)],[c_825]) ).
cnf(c_1033,plain,
( X0 != sK1
| X1 != sK0
| ~ v1_rmod_5(k8_rlvect_2(X0,k1_rlvect_1(X0),X2),X1,X0)
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l1_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X0)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X0)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X0)
| ~ v3_rlvect_1(X1)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| k1_rlvect_1(X1) = k2_group_1(X1)
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_53,c_124]) ).
cnf(c_1034,plain,
( ~ v1_rmod_5(k8_rlvect_2(sK1,k1_rlvect_1(sK1),X0),sK0,sK1)
| ~ m1_subset_1(k1_rlvect_1(sK1),u1_struct_0(sK1))
| ~ m1_subset_1(X0,u1_struct_0(sK1))
| ~ l1_vectsp_2(sK1,sK0)
| ~ v6_rlvect_1(sK1)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK1)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK1)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK1)
| ~ v3_rlvect_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v4_group_1(sK0)
| k1_rlvect_1(sK0) = k2_group_1(sK0)
| v3_struct_0(sK1)
| v3_struct_0(sK0) ),
inference(unflattening,[status(thm)],[c_1033]) ).
cnf(c_1036,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK1))
| ~ m1_subset_1(k1_rlvect_1(sK1),u1_struct_0(sK1))
| ~ v1_rmod_5(k8_rlvect_2(sK1,k1_rlvect_1(sK1),X0),sK0,sK1) ),
inference(global_subsumption_just,[status(thm)],[c_1034,c_67,c_66,c_65,c_64,c_63,c_62,c_61,c_60,c_59,c_57,c_56,c_55,c_54,c_68,c_58,c_52,c_50,c_1034]) ).
cnf(c_1037,plain,
( ~ v1_rmod_5(k8_rlvect_2(sK1,k1_rlvect_1(sK1),X0),sK0,sK1)
| ~ m1_subset_1(k1_rlvect_1(sK1),u1_struct_0(sK1))
| ~ m1_subset_1(X0,u1_struct_0(sK1)) ),
inference(renaming,[status(thm)],[c_1036]) ).
cnf(c_1048,plain,
( X0 != sK1
| X1 != sK0
| ~ v1_rmod_5(k8_rlvect_2(X0,X2,k1_rlvect_1(X0)),X1,X0)
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l1_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X0)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X0)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X0)
| ~ v3_rlvect_1(X1)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| k1_rlvect_1(X1) = k2_group_1(X1)
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_53,c_123]) ).
cnf(c_1049,plain,
( ~ v1_rmod_5(k8_rlvect_2(sK1,X0,k1_rlvect_1(sK1)),sK0,sK1)
| ~ m1_subset_1(k1_rlvect_1(sK1),u1_struct_0(sK1))
| ~ m1_subset_1(X0,u1_struct_0(sK1))
| ~ l1_vectsp_2(sK1,sK0)
| ~ v6_rlvect_1(sK1)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK1)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK1)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK1)
| ~ v3_rlvect_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v4_group_1(sK0)
| k1_rlvect_1(sK0) = k2_group_1(sK0)
| v3_struct_0(sK1)
| v3_struct_0(sK0) ),
inference(unflattening,[status(thm)],[c_1048]) ).
cnf(c_1051,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK1))
| ~ m1_subset_1(k1_rlvect_1(sK1),u1_struct_0(sK1))
| ~ v1_rmod_5(k8_rlvect_2(sK1,X0,k1_rlvect_1(sK1)),sK0,sK1) ),
inference(global_subsumption_just,[status(thm)],[c_1049,c_67,c_66,c_65,c_64,c_63,c_62,c_61,c_60,c_59,c_57,c_56,c_55,c_54,c_68,c_58,c_52,c_50,c_1049]) ).
cnf(c_1052,plain,
( ~ v1_rmod_5(k8_rlvect_2(sK1,X0,k1_rlvect_1(sK1)),sK0,sK1)
| ~ m1_subset_1(k1_rlvect_1(sK1),u1_struct_0(sK1))
| ~ m1_subset_1(X0,u1_struct_0(sK1)) ),
inference(renaming,[status(thm)],[c_1051]) ).
cnf(c_1069,plain,
( X0 != sK1
| X1 != sK0
| ~ l1_struct_0(X1)
| l2_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_52,c_826]) ).
cnf(c_1070,plain,
( ~ l1_struct_0(sK0)
| l2_struct_0(sK1) ),
inference(unflattening,[status(thm)],[c_1069]) ).
cnf(c_1071,plain,
l2_struct_0(sK1),
inference(global_subsumption_just,[status(thm)],[c_1070,c_59,c_130,c_133,c_134,c_1070]) ).
cnf(c_1185,plain,
( X0 != sK1
| m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0)) ),
inference(resolution_lifted,[status(thm)],[c_117,c_1071]) ).
cnf(c_1186,plain,
m1_subset_1(k1_rlvect_1(sK1),u1_struct_0(sK1)),
inference(unflattening,[status(thm)],[c_1185]) ).
cnf(c_1247,plain,
( ~ v1_rmod_5(k8_rlvect_2(sK1,X0,k1_rlvect_1(sK1)),sK0,sK1)
| ~ m1_subset_1(X0,u1_struct_0(sK1)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1052,c_1186]) ).
cnf(c_1248,plain,
( ~ v1_rmod_5(k8_rlvect_2(sK1,k1_rlvect_1(sK1),X0),sK0,sK1)
| ~ m1_subset_1(X0,u1_struct_0(sK1)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1037,c_1186]) ).
cnf(c_5142,plain,
u1_struct_0(sK1) = sP0_iProver_def,
definition ).
cnf(c_5145,plain,
k1_rlvect_1(sK1) = sP3_iProver_def,
definition ).
cnf(c_5146,plain,
k8_rlvect_2(sK1,sP3_iProver_def,sK2) = sP4_iProver_def,
definition ).
cnf(c_5147,plain,
k8_rlvect_2(sK1,sK2,sP3_iProver_def) = sP5_iProver_def,
definition ).
cnf(c_5150,negated_conjecture,
m1_subset_1(sK2,sP0_iProver_def),
inference(demodulation,[status(thm)],[c_51,c_5142]) ).
cnf(c_5152,negated_conjecture,
( v1_rmod_5(sP4_iProver_def,sK0,sK1)
| v1_rmod_5(sP5_iProver_def,sK0,sK1) ),
inference(demodulation,[status(thm)],[c_49,c_5147,c_5145,c_5146]) ).
cnf(c_5787,plain,
( ~ v1_rmod_5(k8_rlvect_2(sK1,X0,sP3_iProver_def),sK0,sK1)
| ~ m1_subset_1(X0,sP0_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_1247,c_5142,c_5145]) ).
cnf(c_5792,plain,
( ~ v1_rmod_5(k8_rlvect_2(sK1,sP3_iProver_def,X0),sK0,sK1)
| ~ m1_subset_1(X0,sP0_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_1248,c_5142,c_5145]) ).
cnf(c_5808,plain,
( ~ v1_rmod_5(sP4_iProver_def,sK0,sK1)
| ~ m1_subset_1(sK2,sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_5146,c_5792]) ).
cnf(c_5809,plain,
~ v1_rmod_5(sP4_iProver_def,sK0,sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_5808,c_5150]) ).
cnf(c_5810,plain,
v1_rmod_5(sP5_iProver_def,sK0,sK1),
inference(backward_subsumption_resolution,[status(thm)],[c_5152,c_5809]) ).
cnf(c_5869,plain,
( ~ v1_rmod_5(sP5_iProver_def,sK0,sK1)
| ~ m1_subset_1(sK2,sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_5147,c_5787]) ).
cnf(c_5870,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_5869,c_5150,c_5810]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ALG216+1 : TPTP v8.1.2. Released v3.4.0.
% 0.11/0.13 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n014.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu May 2 22:45:47 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.21/0.47 Running first-order theorem proving
% 0.21/0.47 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
% 3.00/1.17 % SZS status Started for theBenchmark.p
% 3.00/1.17 % SZS status Theorem for theBenchmark.p
% 3.00/1.17
% 3.00/1.17 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.00/1.17
% 3.00/1.17 ------ iProver source info
% 3.00/1.17
% 3.00/1.17 git: date: 2024-05-02 19:28:25 +0000
% 3.00/1.17 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.00/1.17 git: non_committed_changes: false
% 3.00/1.17
% 3.00/1.17 ------ Parsing...
% 3.00/1.17 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.00/1.17
% 3.00/1.17 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e sup_sim: 0 sf_s rm: 16 0s sf_e pe_s pe_e
% 3.00/1.17
% 3.00/1.17 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.00/1.17
% 3.00/1.17 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.00/1.17 ------ Proving...
% 3.00/1.17 ------ Problem Properties
% 3.00/1.17
% 3.00/1.17
% 3.00/1.17 clauses 67
% 3.00/1.17 conjectures 5
% 3.00/1.17 EPR 31
% 3.00/1.17 Horn 55
% 3.00/1.17 unary 37
% 3.00/1.17 binary 18
% 3.00/1.17 lits 115
% 3.00/1.17 lits eq 12
% 3.00/1.17 fd_pure 0
% 3.00/1.17 fd_pseudo 0
% 3.00/1.17 fd_cond 1
% 3.00/1.17 fd_pseudo_cond 1
% 3.00/1.17 AC symbols 0
% 3.00/1.17
% 3.00/1.17 ------ Schedule dynamic 5 is on
% 3.00/1.17
% 3.00/1.17 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.00/1.17
% 3.00/1.17
% 3.00/1.17 ------
% 3.00/1.17 Current options:
% 3.00/1.17 ------
% 3.00/1.17
% 3.00/1.17
% 3.00/1.17
% 3.00/1.17
% 3.00/1.17 ------ Proving...
% 3.00/1.17
% 3.00/1.17
% 3.00/1.17 % SZS status Theorem for theBenchmark.p
% 3.00/1.17
% 3.00/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.00/1.17
% 3.00/1.17
%------------------------------------------------------------------------------