TSTP Solution File: ALG220+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ALG220+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 02:04:20 EDT 2024
% Result : Theorem 4.13s 1.17s
% Output : CNFRefutation 4.13s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( l3_vectsp_1(X0)
& v2_vectsp_2(X0)
& ~ v10_vectsp_1(X0)
& v8_vectsp_1(X0)
& v7_vectsp_1(X0)
& v6_vectsp_1(X0)
& v7_group_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)
& v3_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,k1_zfmisc_1(u1_struct_0(X1)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ( ( r1_tarski(X2,X3)
& k1_rmod_5(X0,X1,X2) = X1 )
=> k1_rmod_5(X0,X1,X3) = X1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_rmod_5) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l3_vectsp_1(X0)
& v2_vectsp_2(X0)
& ~ v10_vectsp_1(X0)
& v8_vectsp_1(X0)
& v7_vectsp_1(X0)
& v6_vectsp_1(X0)
& v7_group_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)
& v3_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,k1_zfmisc_1(u1_struct_0(X1)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ( ( r1_tarski(X2,X3)
& k1_rmod_5(X0,X1,X2) = X1 )
=> k1_rmod_5(X0,X1,X3) = X1 ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f9,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(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)
& v2_vectsp_2(X0)
& ~ v10_vectsp_1(X0)
& v8_vectsp_1(X0)
& v7_vectsp_1(X0)
& v6_vectsp_1(X0)
& v7_group_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) )
=> ( m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,X1)
& v3_vectsp_2(k1_rmod_5(X0,X1,X2),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_rmod_5) ).
fof(f22,axiom,
! [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)
& 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) )
=> ! [X2] :
( m1_rmod_2(X2,X0,X1)
=> ( l1_vectsp_2(X2,X0)
& v5_vectsp_2(X2,X0)
& v6_rlvect_1(X2)
& v5_rlvect_1(X2)
& v4_rlvect_1(X2)
& v3_rlvect_1(X2)
& ~ v3_struct_0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_rmod_2) ).
fof(f61,axiom,
! [X0] :
( ( l3_vectsp_1(X0)
& v2_vectsp_2(X0)
& ~ v10_vectsp_1(X0)
& v8_vectsp_1(X0)
& v7_vectsp_1(X0)
& v6_vectsp_1(X0)
& v7_group_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,k1_zfmisc_1(u1_struct_0(X1)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ( r1_tarski(X2,X3)
=> m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,k1_rmod_5(X0,X1,X3)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_rmod_5) ).
fof(f64,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)
& v3_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] :
( ( l1_vectsp_2(X2,X0)
& v5_vectsp_2(X2,X0)
& v3_vectsp_2(X2,X0)
& v6_rlvect_1(X2)
& v5_rlvect_1(X2)
& v4_rlvect_1(X2)
& v3_rlvect_1(X2)
& ~ v3_struct_0(X2) )
=> ( ( m1_rmod_2(X1,X0,X2)
& m1_rmod_2(X2,X0,X1) )
=> X1 = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t33_rmod_2) ).
fof(f75,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( k1_rmod_5(X0,X1,X3) != X1
& r1_tarski(X2,X3)
& k1_rmod_5(X0,X1,X2) = X1
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
& l1_vectsp_2(X1,X0)
& v5_vectsp_2(X1,X0)
& v3_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)
& v2_vectsp_2(X0)
& ~ v10_vectsp_1(X0)
& v8_vectsp_1(X0)
& v7_vectsp_1(X0)
& v6_vectsp_1(X0)
& v7_group_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(f76,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( k1_rmod_5(X0,X1,X3) != X1
& r1_tarski(X2,X3)
& k1_rmod_5(X0,X1,X2) = X1
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
& l1_vectsp_2(X1,X0)
& v5_vectsp_2(X1,X0)
& v3_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)
& v2_vectsp_2(X0)
& ~ v10_vectsp_1(X0)
& v8_vectsp_1(X0)
& v7_vectsp_1(X0)
& v6_vectsp_1(X0)
& v7_group_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,[],[f75]) ).
fof(f86,plain,
! [X0,X1,X2] :
( ( m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,X1)
& v3_vectsp_2(k1_rmod_5(X0,X1,X2),X0) )
| ~ m1_subset_1(X2,k1_zfmisc_1(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)
| ~ v2_vectsp_2(X0)
| v10_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_group_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,[],[f9]) ).
fof(f87,plain,
! [X0,X1,X2] :
( ( m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,X1)
& v3_vectsp_2(k1_rmod_5(X0,X1,X2),X0) )
| ~ m1_subset_1(X2,k1_zfmisc_1(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)
| ~ v2_vectsp_2(X0)
| v10_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_group_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,[],[f86]) ).
fof(f95,plain,
! [X0,X1] :
( ! [X2] :
( ( l1_vectsp_2(X2,X0)
& v5_vectsp_2(X2,X0)
& v6_rlvect_1(X2)
& v5_rlvect_1(X2)
& v4_rlvect_1(X2)
& v3_rlvect_1(X2)
& ~ v3_struct_0(X2) )
| ~ m1_rmod_2(X2,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)
| ~ 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,[],[f22]) ).
fof(f96,plain,
! [X0,X1] :
( ! [X2] :
( ( l1_vectsp_2(X2,X0)
& v5_vectsp_2(X2,X0)
& v6_rlvect_1(X2)
& v5_rlvect_1(X2)
& v4_rlvect_1(X2)
& v3_rlvect_1(X2)
& ~ v3_struct_0(X2) )
| ~ m1_rmod_2(X2,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)
| ~ 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,[],[f95]) ).
fof(f124,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,k1_rmod_5(X0,X1,X3))
| ~ r1_tarski(X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ m1_subset_1(X2,k1_zfmisc_1(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)
| ~ v2_vectsp_2(X0)
| v10_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_group_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,[],[f61]) ).
fof(f125,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,k1_rmod_5(X0,X1,X3))
| ~ r1_tarski(X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ m1_subset_1(X2,k1_zfmisc_1(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)
| ~ v2_vectsp_2(X0)
| v10_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_group_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,[],[f124]) ).
fof(f129,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X1 = X2
| ~ m1_rmod_2(X1,X0,X2)
| ~ m1_rmod_2(X2,X0,X1)
| ~ l1_vectsp_2(X2,X0)
| ~ v5_vectsp_2(X2,X0)
| ~ v3_vectsp_2(X2,X0)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| v3_struct_0(X2) )
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v3_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,[],[f64]) ).
fof(f130,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X1 = X2
| ~ m1_rmod_2(X1,X0,X2)
| ~ m1_rmod_2(X2,X0,X1)
| ~ l1_vectsp_2(X2,X0)
| ~ v5_vectsp_2(X2,X0)
| ~ v3_vectsp_2(X2,X0)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| v3_struct_0(X2) )
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v3_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,[],[f129]) ).
fof(f137,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( k1_rmod_5(X0,X1,X3) != X1
& r1_tarski(X2,X3)
& k1_rmod_5(X0,X1,X2) = X1
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
& l1_vectsp_2(X1,X0)
& v5_vectsp_2(X1,X0)
& v3_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)
& v2_vectsp_2(X0)
& ~ v10_vectsp_1(X0)
& v8_vectsp_1(X0)
& v7_vectsp_1(X0)
& v6_vectsp_1(X0)
& v7_group_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] :
( ? [X3] :
( k1_rmod_5(sK0,X1,X3) != X1
& r1_tarski(X2,X3)
& k1_rmod_5(sK0,X1,X2) = X1
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
& l1_vectsp_2(X1,sK0)
& v5_vectsp_2(X1,sK0)
& v3_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)
& v2_vectsp_2(sK0)
& ~ v10_vectsp_1(sK0)
& v8_vectsp_1(sK0)
& v7_vectsp_1(sK0)
& v6_vectsp_1(sK0)
& v7_group_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(f138,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( k1_rmod_5(sK0,X1,X3) != X1
& r1_tarski(X2,X3)
& k1_rmod_5(sK0,X1,X2) = X1
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
& l1_vectsp_2(X1,sK0)
& v5_vectsp_2(X1,sK0)
& v3_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] :
( ? [X3] :
( sK1 != k1_rmod_5(sK0,sK1,X3)
& r1_tarski(X2,X3)
& sK1 = k1_rmod_5(sK0,sK1,X2)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK1))) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK1))) )
& l1_vectsp_2(sK1,sK0)
& v5_vectsp_2(sK1,sK0)
& v3_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(f139,plain,
( ? [X2] :
( ? [X3] :
( sK1 != k1_rmod_5(sK0,sK1,X3)
& r1_tarski(X2,X3)
& sK1 = k1_rmod_5(sK0,sK1,X2)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK1))) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK1))) )
=> ( ? [X3] :
( sK1 != k1_rmod_5(sK0,sK1,X3)
& r1_tarski(sK2,X3)
& sK1 = k1_rmod_5(sK0,sK1,sK2)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK1))) )
& m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1))) ) ),
introduced(choice_axiom,[]) ).
fof(f140,plain,
( ? [X3] :
( sK1 != k1_rmod_5(sK0,sK1,X3)
& r1_tarski(sK2,X3)
& sK1 = k1_rmod_5(sK0,sK1,sK2)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK1))) )
=> ( sK1 != k1_rmod_5(sK0,sK1,sK3)
& r1_tarski(sK2,sK3)
& sK1 = k1_rmod_5(sK0,sK1,sK2)
& m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1))) ) ),
introduced(choice_axiom,[]) ).
fof(f141,plain,
( sK1 != k1_rmod_5(sK0,sK1,sK3)
& r1_tarski(sK2,sK3)
& sK1 = k1_rmod_5(sK0,sK1,sK2)
& m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
& m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
& l1_vectsp_2(sK1,sK0)
& v5_vectsp_2(sK1,sK0)
& v3_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)
& v2_vectsp_2(sK0)
& ~ v10_vectsp_1(sK0)
& v8_vectsp_1(sK0)
& v7_vectsp_1(sK0)
& v6_vectsp_1(sK0)
& v7_group_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,sK3])],[f76,f140,f139,f138,f137]) ).
fof(f192,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f141]) ).
fof(f193,plain,
v3_rlvect_1(sK0),
inference(cnf_transformation,[],[f141]) ).
fof(f194,plain,
v4_rlvect_1(sK0),
inference(cnf_transformation,[],[f141]) ).
fof(f195,plain,
v5_rlvect_1(sK0),
inference(cnf_transformation,[],[f141]) ).
fof(f196,plain,
v6_rlvect_1(sK0),
inference(cnf_transformation,[],[f141]) ).
fof(f197,plain,
v4_group_1(sK0),
inference(cnf_transformation,[],[f141]) ).
fof(f198,plain,
v7_group_1(sK0),
inference(cnf_transformation,[],[f141]) ).
fof(f199,plain,
v6_vectsp_1(sK0),
inference(cnf_transformation,[],[f141]) ).
fof(f200,plain,
v7_vectsp_1(sK0),
inference(cnf_transformation,[],[f141]) ).
fof(f201,plain,
v8_vectsp_1(sK0),
inference(cnf_transformation,[],[f141]) ).
fof(f202,plain,
~ v10_vectsp_1(sK0),
inference(cnf_transformation,[],[f141]) ).
fof(f203,plain,
v2_vectsp_2(sK0),
inference(cnf_transformation,[],[f141]) ).
fof(f204,plain,
l3_vectsp_1(sK0),
inference(cnf_transformation,[],[f141]) ).
fof(f205,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f141]) ).
fof(f206,plain,
v3_rlvect_1(sK1),
inference(cnf_transformation,[],[f141]) ).
fof(f207,plain,
v4_rlvect_1(sK1),
inference(cnf_transformation,[],[f141]) ).
fof(f208,plain,
v5_rlvect_1(sK1),
inference(cnf_transformation,[],[f141]) ).
fof(f209,plain,
v6_rlvect_1(sK1),
inference(cnf_transformation,[],[f141]) ).
fof(f210,plain,
v3_vectsp_2(sK1,sK0),
inference(cnf_transformation,[],[f141]) ).
fof(f211,plain,
v5_vectsp_2(sK1,sK0),
inference(cnf_transformation,[],[f141]) ).
fof(f212,plain,
l1_vectsp_2(sK1,sK0),
inference(cnf_transformation,[],[f141]) ).
fof(f213,plain,
m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1))),
inference(cnf_transformation,[],[f141]) ).
fof(f214,plain,
m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1))),
inference(cnf_transformation,[],[f141]) ).
fof(f215,plain,
sK1 = k1_rmod_5(sK0,sK1,sK2),
inference(cnf_transformation,[],[f141]) ).
fof(f216,plain,
r1_tarski(sK2,sK3),
inference(cnf_transformation,[],[f141]) ).
fof(f217,plain,
sK1 != k1_rmod_5(sK0,sK1,sK3),
inference(cnf_transformation,[],[f141]) ).
fof(f228,plain,
! [X2,X0,X1] :
( v3_vectsp_2(k1_rmod_5(X0,X1,X2),X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(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)
| ~ v2_vectsp_2(X0)
| v10_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_group_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,[],[f87]) ).
fof(f229,plain,
! [X2,X0,X1] :
( m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(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)
| ~ v2_vectsp_2(X0)
| v10_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_group_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,[],[f87]) ).
fof(f239,plain,
! [X2,X0,X1] :
( ~ v3_struct_0(X2)
| ~ m1_rmod_2(X2,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)
| ~ 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,[],[f96]) ).
fof(f240,plain,
! [X2,X0,X1] :
( v3_rlvect_1(X2)
| ~ m1_rmod_2(X2,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)
| ~ 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,[],[f96]) ).
fof(f241,plain,
! [X2,X0,X1] :
( v4_rlvect_1(X2)
| ~ m1_rmod_2(X2,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)
| ~ 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,[],[f96]) ).
fof(f242,plain,
! [X2,X0,X1] :
( v5_rlvect_1(X2)
| ~ m1_rmod_2(X2,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)
| ~ 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,[],[f96]) ).
fof(f243,plain,
! [X2,X0,X1] :
( v6_rlvect_1(X2)
| ~ m1_rmod_2(X2,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)
| ~ 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,[],[f96]) ).
fof(f244,plain,
! [X2,X0,X1] :
( v5_vectsp_2(X2,X0)
| ~ m1_rmod_2(X2,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)
| ~ 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,[],[f96]) ).
fof(f245,plain,
! [X2,X0,X1] :
( l1_vectsp_2(X2,X0)
| ~ m1_rmod_2(X2,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)
| ~ 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,[],[f96]) ).
fof(f319,plain,
! [X2,X3,X0,X1] :
( m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,k1_rmod_5(X0,X1,X3))
| ~ r1_tarski(X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(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)
| ~ v2_vectsp_2(X0)
| v10_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_group_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,[],[f125]) ).
fof(f322,plain,
! [X2,X0,X1] :
( X1 = X2
| ~ m1_rmod_2(X1,X0,X2)
| ~ m1_rmod_2(X2,X0,X1)
| ~ l1_vectsp_2(X2,X0)
| ~ v5_vectsp_2(X2,X0)
| ~ v3_vectsp_2(X2,X0)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| v3_struct_0(X2)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v3_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,[],[f130]) ).
cnf(c_49,negated_conjecture,
k1_rmod_5(sK0,sK1,sK3) != sK1,
inference(cnf_transformation,[],[f217]) ).
cnf(c_50,negated_conjecture,
r1_tarski(sK2,sK3),
inference(cnf_transformation,[],[f216]) ).
cnf(c_51,negated_conjecture,
k1_rmod_5(sK0,sK1,sK2) = sK1,
inference(cnf_transformation,[],[f215]) ).
cnf(c_52,negated_conjecture,
m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1))),
inference(cnf_transformation,[],[f214]) ).
cnf(c_53,negated_conjecture,
m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1))),
inference(cnf_transformation,[],[f213]) ).
cnf(c_54,negated_conjecture,
l1_vectsp_2(sK1,sK0),
inference(cnf_transformation,[],[f212]) ).
cnf(c_55,negated_conjecture,
v5_vectsp_2(sK1,sK0),
inference(cnf_transformation,[],[f211]) ).
cnf(c_56,negated_conjecture,
v3_vectsp_2(sK1,sK0),
inference(cnf_transformation,[],[f210]) ).
cnf(c_57,negated_conjecture,
v6_rlvect_1(sK1),
inference(cnf_transformation,[],[f209]) ).
cnf(c_58,negated_conjecture,
v5_rlvect_1(sK1),
inference(cnf_transformation,[],[f208]) ).
cnf(c_59,negated_conjecture,
v4_rlvect_1(sK1),
inference(cnf_transformation,[],[f207]) ).
cnf(c_60,negated_conjecture,
v3_rlvect_1(sK1),
inference(cnf_transformation,[],[f206]) ).
cnf(c_61,negated_conjecture,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f205]) ).
cnf(c_62,negated_conjecture,
l3_vectsp_1(sK0),
inference(cnf_transformation,[],[f204]) ).
cnf(c_63,negated_conjecture,
v2_vectsp_2(sK0),
inference(cnf_transformation,[],[f203]) ).
cnf(c_64,negated_conjecture,
~ v10_vectsp_1(sK0),
inference(cnf_transformation,[],[f202]) ).
cnf(c_65,negated_conjecture,
v8_vectsp_1(sK0),
inference(cnf_transformation,[],[f201]) ).
cnf(c_66,negated_conjecture,
v7_vectsp_1(sK0),
inference(cnf_transformation,[],[f200]) ).
cnf(c_67,negated_conjecture,
v6_vectsp_1(sK0),
inference(cnf_transformation,[],[f199]) ).
cnf(c_68,negated_conjecture,
v7_group_1(sK0),
inference(cnf_transformation,[],[f198]) ).
cnf(c_69,negated_conjecture,
v4_group_1(sK0),
inference(cnf_transformation,[],[f197]) ).
cnf(c_70,negated_conjecture,
v6_rlvect_1(sK0),
inference(cnf_transformation,[],[f196]) ).
cnf(c_71,negated_conjecture,
v5_rlvect_1(sK0),
inference(cnf_transformation,[],[f195]) ).
cnf(c_72,negated_conjecture,
v4_rlvect_1(sK0),
inference(cnf_transformation,[],[f194]) ).
cnf(c_73,negated_conjecture,
v3_rlvect_1(sK0),
inference(cnf_transformation,[],[f193]) ).
cnf(c_74,negated_conjecture,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f192]) ).
cnf(c_81,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_vectsp_2(X1,X2)
| ~ v5_vectsp_2(X1,X2)
| ~ v6_rlvect_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X1)
| ~ v3_rlvect_1(X2)
| ~ l3_vectsp_1(X2)
| ~ v2_vectsp_2(X2)
| ~ v8_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v7_group_1(X2)
| ~ v4_group_1(X2)
| m1_rmod_2(k1_rmod_5(X2,X1,X0),X2,X1)
| v3_struct_0(X1)
| v3_struct_0(X2)
| v10_vectsp_1(X2) ),
inference(cnf_transformation,[],[f229]) ).
cnf(c_82,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_vectsp_2(X1,X2)
| ~ v5_vectsp_2(X1,X2)
| ~ v6_rlvect_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X1)
| ~ v3_rlvect_1(X2)
| ~ l3_vectsp_1(X2)
| ~ v2_vectsp_2(X2)
| ~ v8_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v7_group_1(X2)
| ~ v4_group_1(X2)
| v3_vectsp_2(k1_rmod_5(X2,X1,X0),X2)
| v3_struct_0(X1)
| v3_struct_0(X2)
| v10_vectsp_1(X2) ),
inference(cnf_transformation,[],[f228]) ).
cnf(c_92,plain,
( ~ m1_rmod_2(X0,X1,X2)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ v6_rlvect_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X1)
| ~ v3_rlvect_1(X2)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| l1_vectsp_2(X0,X1)
| v3_struct_0(X1)
| v3_struct_0(X2) ),
inference(cnf_transformation,[],[f245]) ).
cnf(c_93,plain,
( ~ m1_rmod_2(X0,X1,X2)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ v6_rlvect_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X1)
| ~ v3_rlvect_1(X2)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| v5_vectsp_2(X0,X1)
| v3_struct_0(X1)
| v3_struct_0(X2) ),
inference(cnf_transformation,[],[f244]) ).
cnf(c_94,plain,
( ~ m1_rmod_2(X0,X1,X2)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ v6_rlvect_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X1)
| ~ v3_rlvect_1(X2)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| v6_rlvect_1(X0)
| v3_struct_0(X1)
| v3_struct_0(X2) ),
inference(cnf_transformation,[],[f243]) ).
cnf(c_95,plain,
( ~ m1_rmod_2(X0,X1,X2)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ v6_rlvect_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X1)
| ~ v3_rlvect_1(X2)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| v5_rlvect_1(X0)
| v3_struct_0(X1)
| v3_struct_0(X2) ),
inference(cnf_transformation,[],[f242]) ).
cnf(c_96,plain,
( ~ m1_rmod_2(X0,X1,X2)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ v6_rlvect_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X1)
| ~ v3_rlvect_1(X2)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| v4_rlvect_1(X0)
| v3_struct_0(X1)
| v3_struct_0(X2) ),
inference(cnf_transformation,[],[f241]) ).
cnf(c_97,plain,
( ~ m1_rmod_2(X0,X1,X2)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ v6_rlvect_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X1)
| ~ v3_rlvect_1(X2)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| v3_rlvect_1(X0)
| v3_struct_0(X1)
| v3_struct_0(X2) ),
inference(cnf_transformation,[],[f240]) ).
cnf(c_98,plain,
( ~ m1_rmod_2(X0,X1,X2)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ v6_rlvect_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X1)
| ~ v3_rlvect_1(X2)
| ~ v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| v3_struct_0(X1)
| v3_struct_0(X2) ),
inference(cnf_transformation,[],[f239]) ).
cnf(c_172,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r1_tarski(X0,X2)
| ~ l1_vectsp_2(X1,X3)
| ~ v5_vectsp_2(X1,X3)
| ~ v6_rlvect_1(X1)
| ~ v6_rlvect_1(X3)
| ~ v5_rlvect_1(X1)
| ~ v5_rlvect_1(X3)
| ~ v4_rlvect_1(X1)
| ~ v4_rlvect_1(X3)
| ~ v3_rlvect_1(X1)
| ~ v3_rlvect_1(X3)
| ~ l3_vectsp_1(X3)
| ~ v2_vectsp_2(X3)
| ~ v8_vectsp_1(X3)
| ~ v7_vectsp_1(X3)
| ~ v6_vectsp_1(X3)
| ~ v7_group_1(X3)
| ~ v4_group_1(X3)
| m1_rmod_2(k1_rmod_5(X3,X1,X0),X3,k1_rmod_5(X3,X1,X2))
| v3_struct_0(X1)
| v3_struct_0(X3)
| v10_vectsp_1(X3) ),
inference(cnf_transformation,[],[f319]) ).
cnf(c_175,plain,
( ~ m1_rmod_2(X0,X1,X2)
| ~ m1_rmod_2(X2,X1,X0)
| ~ l1_vectsp_2(X0,X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ v3_vectsp_2(X0,X1)
| ~ v3_vectsp_2(X2,X1)
| ~ v6_rlvect_1(X0)
| ~ v6_rlvect_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X0)
| ~ v5_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X0)
| ~ v4_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X0)
| ~ v3_rlvect_1(X1)
| ~ v3_rlvect_1(X2)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| X0 = X2
| v3_struct_0(X0)
| v3_struct_0(X1)
| v3_struct_0(X2) ),
inference(cnf_transformation,[],[f322]) ).
cnf(c_263,plain,
( X0 = X2
| ~ v4_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ l3_vectsp_1(X1)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v3_vectsp_2(X2,X1)
| ~ v3_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ m1_rmod_2(X2,X1,X0)
| ~ m1_rmod_2(X0,X1,X2)
| ~ l1_vectsp_2(X2,X1)
| ~ v6_rlvect_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| v3_struct_0(X1)
| v3_struct_0(X2) ),
inference(global_subsumption_just,[status(thm)],[c_175,c_97,c_96,c_95,c_94,c_98,c_93,c_92,c_175]) ).
cnf(c_264,plain,
( ~ m1_rmod_2(X0,X1,X2)
| ~ m1_rmod_2(X2,X1,X0)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ v3_vectsp_2(X0,X1)
| ~ v3_vectsp_2(X2,X1)
| ~ v6_rlvect_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X1)
| ~ v3_rlvect_1(X2)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| X0 = X2
| v3_struct_0(X1)
| v3_struct_0(X2) ),
inference(renaming,[status(thm)],[c_263]) ).
cnf(c_4134,plain,
( X0 != sK0
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_vectsp_2(X2,X0)
| ~ v5_vectsp_2(X2,X0)
| ~ 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(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_group_1(X0)
| ~ v4_group_1(X0)
| v3_vectsp_2(k1_rmod_5(X0,X2,X1),X0)
| v3_struct_0(X0)
| v3_struct_0(X2)
| v10_vectsp_1(X0) ),
inference(resolution_lifted,[status(thm)],[c_63,c_82]) ).
cnf(c_4135,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(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)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| v3_vectsp_2(k1_rmod_5(sK0,X1,X0),sK0)
| v3_struct_0(X1)
| v3_struct_0(sK0)
| v10_vectsp_1(sK0) ),
inference(unflattening,[status(thm)],[c_4134]) ).
cnf(c_4137,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(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_vectsp_2(k1_rmod_5(sK0,X1,X0),sK0)
| v3_struct_0(X1) ),
inference(global_subsumption_just,[status(thm)],[c_4135,c_73,c_72,c_71,c_70,c_69,c_68,c_67,c_66,c_65,c_62,c_74,c_64,c_4135]) ).
cnf(c_4167,plain,
( X0 != sK0
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_vectsp_2(X2,X0)
| ~ v5_vectsp_2(X2,X0)
| ~ 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(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_group_1(X0)
| ~ v4_group_1(X0)
| m1_rmod_2(k1_rmod_5(X0,X2,X1),X0,X2)
| v3_struct_0(X0)
| v3_struct_0(X2)
| v10_vectsp_1(X0) ),
inference(resolution_lifted,[status(thm)],[c_63,c_81]) ).
cnf(c_4168,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(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)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| m1_rmod_2(k1_rmod_5(sK0,X1,X0),sK0,X1)
| v3_struct_0(X1)
| v3_struct_0(sK0)
| v10_vectsp_1(sK0) ),
inference(unflattening,[status(thm)],[c_4167]) ).
cnf(c_4170,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(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)
| m1_rmod_2(k1_rmod_5(sK0,X1,X0),sK0,X1)
| v3_struct_0(X1) ),
inference(global_subsumption_just,[status(thm)],[c_4168,c_73,c_72,c_71,c_70,c_69,c_68,c_67,c_66,c_65,c_62,c_74,c_64,c_4168]) ).
cnf(c_4200,plain,
( X0 != sK0
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| ~ r1_tarski(X1,X3)
| ~ l1_vectsp_2(X2,X0)
| ~ v5_vectsp_2(X2,X0)
| ~ 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(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_group_1(X0)
| ~ v4_group_1(X0)
| m1_rmod_2(k1_rmod_5(X0,X2,X1),X0,k1_rmod_5(X0,X2,X3))
| v3_struct_0(X0)
| v3_struct_0(X2)
| v10_vectsp_1(X0) ),
inference(resolution_lifted,[status(thm)],[c_63,c_172]) ).
cnf(c_4201,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r1_tarski(X0,X2)
| ~ 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)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| m1_rmod_2(k1_rmod_5(sK0,X1,X0),sK0,k1_rmod_5(sK0,X1,X2))
| v3_struct_0(X1)
| v3_struct_0(sK0)
| v10_vectsp_1(sK0) ),
inference(unflattening,[status(thm)],[c_4200]) ).
cnf(c_4203,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r1_tarski(X0,X2)
| ~ 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)
| m1_rmod_2(k1_rmod_5(sK0,X1,X0),sK0,k1_rmod_5(sK0,X1,X2))
| v3_struct_0(X1) ),
inference(global_subsumption_just,[status(thm)],[c_4201,c_73,c_72,c_71,c_70,c_69,c_68,c_67,c_66,c_65,c_62,c_74,c_64,c_4201]) ).
cnf(c_4651,plain,
( X0 != sK0
| ~ m1_rmod_2(X1,X0,X2)
| ~ m1_rmod_2(X2,X0,X1)
| ~ l1_vectsp_2(X2,X0)
| ~ v5_vectsp_2(X2,X0)
| ~ v3_vectsp_2(X1,X0)
| ~ v3_vectsp_2(X2,X0)
| ~ 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(X0)
| ~ v8_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| X1 = X2
| v3_struct_0(X0)
| v3_struct_0(X2) ),
inference(resolution_lifted,[status(thm)],[c_66,c_264]) ).
cnf(c_4652,plain,
( ~ m1_rmod_2(X0,sK0,X1)
| ~ m1_rmod_2(X1,sK0,X0)
| ~ l1_vectsp_2(X1,sK0)
| ~ v5_vectsp_2(X1,sK0)
| ~ v3_vectsp_2(X0,sK0)
| ~ v3_vectsp_2(X1,sK0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v4_group_1(sK0)
| X0 = X1
| v3_struct_0(X1)
| v3_struct_0(sK0) ),
inference(unflattening,[status(thm)],[c_4651]) ).
cnf(c_4654,plain,
( v3_struct_0(X1)
| X0 = X1
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v3_vectsp_2(X1,sK0)
| ~ v3_vectsp_2(X0,sK0)
| ~ v5_vectsp_2(X1,sK0)
| ~ l1_vectsp_2(X1,sK0)
| ~ m1_rmod_2(X1,sK0,X0)
| ~ m1_rmod_2(X0,sK0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_4652,c_73,c_72,c_71,c_70,c_69,c_67,c_65,c_62,c_74,c_4652]) ).
cnf(c_4655,plain,
( ~ m1_rmod_2(X0,sK0,X1)
| ~ m1_rmod_2(X1,sK0,X0)
| ~ l1_vectsp_2(X1,sK0)
| ~ v5_vectsp_2(X1,sK0)
| ~ v3_vectsp_2(X0,sK0)
| ~ v3_vectsp_2(X1,sK0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| X0 = X1
| v3_struct_0(X1) ),
inference(renaming,[status(thm)],[c_4654]) ).
cnf(c_16158,plain,
u1_struct_0(sK1) = sP0_iProver_def,
definition ).
cnf(c_16159,plain,
k1_zfmisc_1(sP0_iProver_def) = sP1_iProver_def,
definition ).
cnf(c_16160,plain,
k1_rmod_5(sK0,sK1,sK2) = sP2_iProver_def,
definition ).
cnf(c_16161,plain,
k1_rmod_5(sK0,sK1,sK3) = sP3_iProver_def,
definition ).
cnf(c_16167,negated_conjecture,
~ v3_struct_0(sK1),
inference(demodulation,[status(thm)],[c_61]) ).
cnf(c_16168,negated_conjecture,
v3_rlvect_1(sK1),
inference(demodulation,[status(thm)],[c_60]) ).
cnf(c_16169,negated_conjecture,
v4_rlvect_1(sK1),
inference(demodulation,[status(thm)],[c_59]) ).
cnf(c_16170,negated_conjecture,
v5_rlvect_1(sK1),
inference(demodulation,[status(thm)],[c_58]) ).
cnf(c_16171,negated_conjecture,
v6_rlvect_1(sK1),
inference(demodulation,[status(thm)],[c_57]) ).
cnf(c_16172,negated_conjecture,
v3_vectsp_2(sK1,sK0),
inference(demodulation,[status(thm)],[c_56]) ).
cnf(c_16173,negated_conjecture,
v5_vectsp_2(sK1,sK0),
inference(demodulation,[status(thm)],[c_55]) ).
cnf(c_16174,negated_conjecture,
l1_vectsp_2(sK1,sK0),
inference(demodulation,[status(thm)],[c_54]) ).
cnf(c_16175,negated_conjecture,
m1_subset_1(sK2,sP1_iProver_def),
inference(demodulation,[status(thm)],[c_53,c_16158,c_16159]) ).
cnf(c_16176,negated_conjecture,
m1_subset_1(sK3,sP1_iProver_def),
inference(demodulation,[status(thm)],[c_52]) ).
cnf(c_16177,negated_conjecture,
sP2_iProver_def = sK1,
inference(demodulation,[status(thm)],[c_51,c_16160]) ).
cnf(c_16178,negated_conjecture,
r1_tarski(sK2,sK3),
inference(demodulation,[status(thm)],[c_50]) ).
cnf(c_16179,negated_conjecture,
sP3_iProver_def != sK1,
inference(demodulation,[status(thm)],[c_49,c_16161]) ).
cnf(c_18868,plain,
v3_rlvect_1(sP2_iProver_def),
inference(light_normalisation,[status(thm)],[c_16168,c_16177]) ).
cnf(c_18869,plain,
v4_rlvect_1(sP2_iProver_def),
inference(light_normalisation,[status(thm)],[c_16169,c_16177]) ).
cnf(c_18870,plain,
v5_rlvect_1(sP2_iProver_def),
inference(light_normalisation,[status(thm)],[c_16170,c_16177]) ).
cnf(c_18871,plain,
v6_rlvect_1(sP2_iProver_def),
inference(light_normalisation,[status(thm)],[c_16171,c_16177]) ).
cnf(c_18872,plain,
u1_struct_0(sP2_iProver_def) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_16158,c_16177]) ).
cnf(c_18873,plain,
~ v3_struct_0(sP2_iProver_def),
inference(light_normalisation,[status(thm)],[c_16167,c_16177]) ).
cnf(c_18874,plain,
v3_vectsp_2(sP2_iProver_def,sK0),
inference(light_normalisation,[status(thm)],[c_16172,c_16177]) ).
cnf(c_18875,plain,
v5_vectsp_2(sP2_iProver_def,sK0),
inference(light_normalisation,[status(thm)],[c_16173,c_16177]) ).
cnf(c_18876,plain,
l1_vectsp_2(sP2_iProver_def,sK0),
inference(light_normalisation,[status(thm)],[c_16174,c_16177]) ).
cnf(c_18877,plain,
sP2_iProver_def != sP3_iProver_def,
inference(light_normalisation,[status(thm)],[c_16179,c_16177]) ).
cnf(c_18878,plain,
k1_rmod_5(sK0,sP2_iProver_def,sK2) = sP2_iProver_def,
inference(light_normalisation,[status(thm)],[c_16160,c_16177]) ).
cnf(c_18889,plain,
k1_rmod_5(sK0,sP2_iProver_def,sK3) = sP3_iProver_def,
inference(light_normalisation,[status(thm)],[c_16161,c_16177]) ).
cnf(c_19283,plain,
( ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sP2_iProver_def)))
| ~ l1_vectsp_2(sP2_iProver_def,sK0)
| ~ v5_vectsp_2(sP2_iProver_def,sK0)
| ~ v6_rlvect_1(sP2_iProver_def)
| ~ v5_rlvect_1(sP2_iProver_def)
| ~ v4_rlvect_1(sP2_iProver_def)
| ~ v3_rlvect_1(sP2_iProver_def)
| v3_vectsp_2(sP3_iProver_def,sK0)
| v3_struct_0(sP2_iProver_def) ),
inference(superposition,[status(thm)],[c_18889,c_4137]) ).
cnf(c_19284,plain,
( ~ m1_subset_1(sK3,sP1_iProver_def)
| ~ l1_vectsp_2(sP2_iProver_def,sK0)
| ~ v5_vectsp_2(sP2_iProver_def,sK0)
| ~ v6_rlvect_1(sP2_iProver_def)
| ~ v5_rlvect_1(sP2_iProver_def)
| ~ v4_rlvect_1(sP2_iProver_def)
| ~ v3_rlvect_1(sP2_iProver_def)
| v3_vectsp_2(sP3_iProver_def,sK0)
| v3_struct_0(sP2_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_19283,c_16159,c_18872]) ).
cnf(c_19285,plain,
v3_vectsp_2(sP3_iProver_def,sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_19284,c_18873,c_18868,c_18869,c_18870,c_18871,c_18875,c_18876,c_16176]) ).
cnf(c_19331,plain,
( ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sP2_iProver_def)))
| ~ l1_vectsp_2(sP2_iProver_def,sK0)
| ~ v5_vectsp_2(sP2_iProver_def,sK0)
| ~ v6_rlvect_1(sP2_iProver_def)
| ~ v5_rlvect_1(sP2_iProver_def)
| ~ v4_rlvect_1(sP2_iProver_def)
| ~ v3_rlvect_1(sP2_iProver_def)
| m1_rmod_2(sP3_iProver_def,sK0,sP2_iProver_def)
| v3_struct_0(sP2_iProver_def) ),
inference(superposition,[status(thm)],[c_18889,c_4170]) ).
cnf(c_19339,plain,
( ~ m1_subset_1(sK3,sP1_iProver_def)
| ~ l1_vectsp_2(sP2_iProver_def,sK0)
| ~ v5_vectsp_2(sP2_iProver_def,sK0)
| ~ v6_rlvect_1(sP2_iProver_def)
| ~ v5_rlvect_1(sP2_iProver_def)
| ~ v4_rlvect_1(sP2_iProver_def)
| ~ v3_rlvect_1(sP2_iProver_def)
| m1_rmod_2(sP3_iProver_def,sK0,sP2_iProver_def)
| v3_struct_0(sP2_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_19331,c_16159,c_18872]) ).
cnf(c_19340,plain,
m1_rmod_2(sP3_iProver_def,sK0,sP2_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_19339,c_18873,c_18868,c_18869,c_18870,c_18871,c_18875,c_18876,c_16176]) ).
cnf(c_19462,plain,
( ~ m1_rmod_2(sP2_iProver_def,sK0,sP3_iProver_def)
| ~ l1_vectsp_2(sP2_iProver_def,sK0)
| ~ v5_vectsp_2(sP2_iProver_def,sK0)
| ~ v3_vectsp_2(sP2_iProver_def,sK0)
| ~ v3_vectsp_2(sP3_iProver_def,sK0)
| ~ v6_rlvect_1(sP2_iProver_def)
| ~ v5_rlvect_1(sP2_iProver_def)
| ~ v4_rlvect_1(sP2_iProver_def)
| ~ v3_rlvect_1(sP2_iProver_def)
| sP2_iProver_def = sP3_iProver_def
| v3_struct_0(sP2_iProver_def) ),
inference(superposition,[status(thm)],[c_19340,c_4655]) ).
cnf(c_19463,plain,
~ m1_rmod_2(sP2_iProver_def,sK0,sP3_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_19462,c_18873,c_18877,c_18868,c_18869,c_18870,c_18871,c_19285,c_18874,c_18875,c_18876]) ).
cnf(c_19526,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sP2_iProver_def)))
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sP2_iProver_def)))
| ~ r1_tarski(X0,sK3)
| ~ l1_vectsp_2(sP2_iProver_def,sK0)
| ~ v5_vectsp_2(sP2_iProver_def,sK0)
| ~ v6_rlvect_1(sP2_iProver_def)
| ~ v5_rlvect_1(sP2_iProver_def)
| ~ v4_rlvect_1(sP2_iProver_def)
| ~ v3_rlvect_1(sP2_iProver_def)
| m1_rmod_2(k1_rmod_5(sK0,sP2_iProver_def,X0),sK0,sP3_iProver_def)
| v3_struct_0(sP2_iProver_def) ),
inference(superposition,[status(thm)],[c_18889,c_4203]) ).
cnf(c_19535,plain,
( ~ r1_tarski(X0,sK3)
| ~ m1_subset_1(X0,sP1_iProver_def)
| ~ m1_subset_1(sK3,sP1_iProver_def)
| ~ l1_vectsp_2(sP2_iProver_def,sK0)
| ~ v5_vectsp_2(sP2_iProver_def,sK0)
| ~ v6_rlvect_1(sP2_iProver_def)
| ~ v5_rlvect_1(sP2_iProver_def)
| ~ v4_rlvect_1(sP2_iProver_def)
| ~ v3_rlvect_1(sP2_iProver_def)
| m1_rmod_2(k1_rmod_5(sK0,sP2_iProver_def,X0),sK0,sP3_iProver_def)
| v3_struct_0(sP2_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_19526,c_16159,c_18872]) ).
cnf(c_19536,plain,
( ~ r1_tarski(X0,sK3)
| ~ m1_subset_1(X0,sP1_iProver_def)
| m1_rmod_2(k1_rmod_5(sK0,sP2_iProver_def,X0),sK0,sP3_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19535,c_18873,c_18868,c_18869,c_18870,c_18871,c_18875,c_18876,c_16176]) ).
cnf(c_19713,plain,
( ~ r1_tarski(sK2,sK3)
| ~ m1_subset_1(sK2,sP1_iProver_def)
| m1_rmod_2(sP2_iProver_def,sK0,sP3_iProver_def) ),
inference(superposition,[status(thm)],[c_18878,c_19536]) ).
cnf(c_19724,plain,
m1_rmod_2(sP2_iProver_def,sK0,sP3_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_19713,c_16175,c_16178]) ).
cnf(c_19808,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_19724,c_19463]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : ALG220+1 : TPTP v8.1.2. Released v3.4.0.
% 0.11/0.14 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n006.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu May 2 22:44:34 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.13/1.17 % SZS status Started for theBenchmark.p
% 4.13/1.17 % SZS status Theorem for theBenchmark.p
% 4.13/1.17
% 4.13/1.17 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.13/1.17
% 4.13/1.17 ------ iProver source info
% 4.13/1.17
% 4.13/1.17 git: date: 2024-05-02 19:28:25 +0000
% 4.13/1.17 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.13/1.17 git: non_committed_changes: false
% 4.13/1.17
% 4.13/1.17 ------ Parsing...
% 4.13/1.17 ------ Clausification by vclausify_rel & Parsing by iProver...
% 4.13/1.17
% 4.13/1.17 ------ 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_e sup_sim: 0 sf_s rm: 13 0s sf_e pe_s pe_e
% 4.13/1.17
% 4.13/1.17 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.13/1.17
% 4.13/1.17 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.13/1.17 ------ Proving...
% 4.13/1.17 ------ Problem Properties
% 4.13/1.17
% 4.13/1.17
% 4.13/1.17 clauses 128
% 4.13/1.17 conjectures 18
% 4.13/1.17 EPR 56
% 4.13/1.17 Horn 106
% 4.13/1.17 unary 66
% 4.13/1.17 binary 21
% 4.13/1.17 lits 402
% 4.13/1.17 lits eq 20
% 4.13/1.17 fd_pure 0
% 4.13/1.17 fd_pseudo 0
% 4.13/1.17 fd_cond 1
% 4.13/1.17 fd_pseudo_cond 7
% 4.13/1.17 AC symbols 0
% 4.13/1.17
% 4.13/1.17 ------ Schedule dynamic 5 is on
% 4.13/1.17
% 4.13/1.17 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.13/1.17
% 4.13/1.17
% 4.13/1.17 ------
% 4.13/1.17 Current options:
% 4.13/1.17 ------
% 4.13/1.17
% 4.13/1.17
% 4.13/1.17
% 4.13/1.17
% 4.13/1.17 ------ Proving...
% 4.13/1.17
% 4.13/1.17
% 4.13/1.17 % SZS status Theorem for theBenchmark.p
% 4.13/1.17
% 4.13/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.13/1.17
% 4.13/1.17
%------------------------------------------------------------------------------