TSTP Solution File: TOP042+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : TOP042+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n015.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 03:41:03 EDT 2024
% Result : Theorem 185.62s 25.31s
% Output : CNFRefutation 185.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 26
% Syntax : Number of formulae : 216 ( 44 unt; 0 def)
% Number of atoms : 1096 ( 158 equ)
% Maximal formula atoms : 22 ( 5 avg)
% Number of connectives : 1474 ( 594 ~; 633 |; 194 &)
% ( 14 <=>; 39 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 3 con; 0-4 aty)
% Number of variables : 407 ( 17 sgn 219 !; 40 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m2_tsp_1(X1,X0)
& v2_tsp_2(X1,X0)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v4_pre_topc(X2,X0)
=> v4_pre_topc(k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X2),X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t35_tsp_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m2_tsp_1(X1,X0)
& v2_tsp_2(X1,X0)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v4_pre_topc(X2,X0)
=> v4_pre_topc(k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X2),X1) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f50,axiom,
! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
fof(f52,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m2_tsp_1(X1,X0)
& v2_tsp_2(X1,X0)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
=> ( k4_tsp_2(X0,X1) = X2
<=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
=> ( u1_struct_0(X1) = X3
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0)))
=> k5_subset_1(u1_struct_0(X0),X3,k3_tex_4(X0,X4)) = k4_pre_topc(X0,X1,X2,X4) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d12_tsp_2) ).
fof(f53,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( l1_pre_topc(X1)
=> ( m2_tsp_1(X1,X0)
<=> ( ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v4_pre_topc(X2,X1)
<=> ? [X3] :
( k3_xboole_0(X3,u1_struct_0(X1)) = X2
& v4_pre_topc(X3,X0)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) ) )
& r1_tarski(u1_struct_0(X1),u1_struct_0(X0)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_tsp_1) ).
fof(f54,axiom,
! [X0,X1] :
( ( m1_pre_topc(X1,X0)
& v2_tsp_2(X1,X0)
& ~ v3_struct_0(X1)
& l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ( m2_relset_1(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(k1_tsp_2(X0,X1),X0,X1)
& v1_funct_2(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(k1_tsp_2(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_tsp_2) ).
fof(f60,axiom,
! [X0,X1,X2,X3] :
( ( m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2)
& l1_struct_0(X1)
& l1_struct_0(X0) )
=> m1_subset_1(k4_pre_topc(X0,X1,X2,X3),k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_pre_topc) ).
fof(f61,axiom,
! [X0,X1] :
( ( m1_pre_topc(X1,X0)
& v2_tsp_2(X1,X0)
& ~ v3_struct_0(X1)
& l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ( m2_relset_1(k4_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(k4_tsp_2(X0,X1),X0,X1)
& v1_funct_2(k4_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(k4_tsp_2(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_tsp_2) ).
fof(f64,axiom,
! [X0] :
( l1_pre_topc(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_pre_topc) ).
fof(f70,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m2_tsp_1(X1,X0)
=> l1_pre_topc(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_tsp_1) ).
fof(f108,axiom,
! [X0,X1] :
( ( m1_pre_topc(X1,X0)
& v2_tsp_2(X1,X0)
& ~ v3_struct_0(X1)
& l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> k4_tsp_2(X0,X1) = k1_tsp_2(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k4_tsp_2) ).
fof(f109,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(X0))
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> k5_subset_1(X0,X1,X2) = k3_xboole_0(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k5_subset_1) ).
fof(f110,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f111,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m2_tsp_1(X1,X0)
<=> m1_pre_topc(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_tsp_1) ).
fof(f114,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m1_pre_topc(X1,X0)
=> m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_tsep_1) ).
fof(f117,axiom,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
<=> r1_tarski(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
fof(f120,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v4_pre_topc(X1,X0)
=> k3_tex_4(X0,X1) = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t62_tex_4) ).
fof(f154,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ v4_pre_topc(k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X2),X1)
& v4_pre_topc(X2,X0)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
& m2_tsp_1(X1,X0)
& v2_tsp_2(X1,X0)
& ~ v3_struct_0(X1) )
& l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f155,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ v4_pre_topc(k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X2),X1)
& v4_pre_topc(X2,X0)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
& m2_tsp_1(X1,X0)
& v2_tsp_2(X1,X0)
& ~ v3_struct_0(X1) )
& l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f154]) ).
fof(f219,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( k4_tsp_2(X0,X1) = X2
<=> ! [X3] :
( ! [X4] :
( k5_subset_1(u1_struct_0(X0),X3,k3_tex_4(X0,X4)) = k4_pre_topc(X0,X1,X2,X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0))) )
| u1_struct_0(X1) != X3
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) )
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2) )
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f52]) ).
fof(f220,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( k4_tsp_2(X0,X1) = X2
<=> ! [X3] :
( ! [X4] :
( k5_subset_1(u1_struct_0(X0),X3,k3_tex_4(X0,X4)) = k4_pre_topc(X0,X1,X2,X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0))) )
| u1_struct_0(X1) != X3
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) )
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2) )
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f219]) ).
fof(f221,plain,
! [X0] :
( ! [X1] :
( ( m2_tsp_1(X1,X0)
<=> ( ! [X2] :
( ( v4_pre_topc(X2,X1)
<=> ? [X3] :
( k3_xboole_0(X3,u1_struct_0(X1)) = X2
& v4_pre_topc(X3,X0)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
& r1_tarski(u1_struct_0(X1),u1_struct_0(X0)) ) )
| ~ l1_pre_topc(X1) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f222,plain,
! [X0,X1] :
( ( m2_relset_1(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(k1_tsp_2(X0,X1),X0,X1)
& v1_funct_2(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(k1_tsp_2(X0,X1)) )
| ~ m1_pre_topc(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f223,plain,
! [X0,X1] :
( ( m2_relset_1(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(k1_tsp_2(X0,X1),X0,X1)
& v1_funct_2(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(k1_tsp_2(X0,X1)) )
| ~ m1_pre_topc(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f222]) ).
fof(f226,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k4_pre_topc(X0,X1,X2,X3),k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X1)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f60]) ).
fof(f227,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k4_pre_topc(X0,X1,X2,X3),k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X1)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f226]) ).
fof(f228,plain,
! [X0,X1] :
( ( m2_relset_1(k4_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(k4_tsp_2(X0,X1),X0,X1)
& v1_funct_2(k4_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(k4_tsp_2(X0,X1)) )
| ~ m1_pre_topc(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f61]) ).
fof(f229,plain,
! [X0,X1] :
( ( m2_relset_1(k4_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(k4_tsp_2(X0,X1),X0,X1)
& v1_funct_2(k4_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(k4_tsp_2(X0,X1)) )
| ~ m1_pre_topc(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f228]) ).
fof(f232,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f64]) ).
fof(f235,plain,
! [X0] :
( ! [X1] :
( l1_pre_topc(X1)
| ~ m2_tsp_1(X1,X0) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f70]) ).
fof(f272,plain,
! [X0,X1] :
( k4_tsp_2(X0,X1) = k1_tsp_2(X0,X1)
| ~ m1_pre_topc(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f108]) ).
fof(f273,plain,
! [X0,X1] :
( k4_tsp_2(X0,X1) = k1_tsp_2(X0,X1)
| ~ m1_pre_topc(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f272]) ).
fof(f274,plain,
! [X0,X1,X2] :
( k5_subset_1(X0,X1,X2) = k3_xboole_0(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f109]) ).
fof(f275,plain,
! [X0,X1,X2] :
( k5_subset_1(X0,X1,X2) = k3_xboole_0(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f274]) ).
fof(f276,plain,
! [X0] :
( ! [X1] :
( m2_tsp_1(X1,X0)
<=> m1_pre_topc(X1,X0) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f111]) ).
fof(f278,plain,
! [X0] :
( ! [X1] :
( m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_pre_topc(X1,X0) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f114]) ).
fof(f284,plain,
! [X0] :
( ! [X1] :
( k3_tex_4(X0,X1) = X1
| ~ v4_pre_topc(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f120]) ).
fof(f285,plain,
! [X0] :
( ! [X1] :
( k3_tex_4(X0,X1) = X1
| ~ v4_pre_topc(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f284]) ).
fof(f291,plain,
! [X1,X0] :
( sP1(X1,X0)
<=> ( ! [X2] :
( ( v4_pre_topc(X2,X1)
<=> ? [X3] :
( k3_xboole_0(X3,u1_struct_0(X1)) = X2
& v4_pre_topc(X3,X0)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
& r1_tarski(u1_struct_0(X1),u1_struct_0(X0)) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f292,plain,
! [X0,X1] :
( ( m2_tsp_1(X1,X0)
<=> sP1(X1,X0) )
| ~ sP2(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f293,plain,
! [X0] :
( ! [X1] :
( sP2(X0,X1)
| ~ l1_pre_topc(X1) )
| ~ l1_pre_topc(X0) ),
inference(definition_folding,[],[f221,f292,f291]) ).
fof(f296,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ~ v4_pre_topc(k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X2),X1)
& v4_pre_topc(X2,X0)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
& m2_tsp_1(X1,X0)
& v2_tsp_2(X1,X0)
& ~ v3_struct_0(X1) )
& l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ( ? [X1] :
( ? [X2] :
( ~ v4_pre_topc(k4_pre_topc(sK4,X1,k4_tsp_2(sK4,X1),X2),X1)
& v4_pre_topc(X2,sK4)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK4))) )
& m2_tsp_1(X1,sK4)
& v2_tsp_2(X1,sK4)
& ~ v3_struct_0(X1) )
& l1_pre_topc(sK4)
& v2_pre_topc(sK4)
& ~ v3_struct_0(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f297,plain,
( ? [X1] :
( ? [X2] :
( ~ v4_pre_topc(k4_pre_topc(sK4,X1,k4_tsp_2(sK4,X1),X2),X1)
& v4_pre_topc(X2,sK4)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK4))) )
& m2_tsp_1(X1,sK4)
& v2_tsp_2(X1,sK4)
& ~ v3_struct_0(X1) )
=> ( ? [X2] :
( ~ v4_pre_topc(k4_pre_topc(sK4,sK5,k4_tsp_2(sK4,sK5),X2),sK5)
& v4_pre_topc(X2,sK4)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK4))) )
& m2_tsp_1(sK5,sK4)
& v2_tsp_2(sK5,sK4)
& ~ v3_struct_0(sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f298,plain,
( ? [X2] :
( ~ v4_pre_topc(k4_pre_topc(sK4,sK5,k4_tsp_2(sK4,sK5),X2),sK5)
& v4_pre_topc(X2,sK4)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK4))) )
=> ( ~ v4_pre_topc(k4_pre_topc(sK4,sK5,k4_tsp_2(sK4,sK5),sK6),sK5)
& v4_pre_topc(sK6,sK4)
& m1_subset_1(sK6,k1_zfmisc_1(u1_struct_0(sK4))) ) ),
introduced(choice_axiom,[]) ).
fof(f299,plain,
( ~ v4_pre_topc(k4_pre_topc(sK4,sK5,k4_tsp_2(sK4,sK5),sK6),sK5)
& v4_pre_topc(sK6,sK4)
& m1_subset_1(sK6,k1_zfmisc_1(u1_struct_0(sK4)))
& m2_tsp_1(sK5,sK4)
& v2_tsp_2(sK5,sK4)
& ~ v3_struct_0(sK5)
& l1_pre_topc(sK4)
& v2_pre_topc(sK4)
& ~ v3_struct_0(sK4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6])],[f155,f298,f297,f296]) ).
fof(f301,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( k4_tsp_2(X0,X1) = X2
| ? [X3] :
( ? [X4] :
( k5_subset_1(u1_struct_0(X0),X3,k3_tex_4(X0,X4)) != k4_pre_topc(X0,X1,X2,X4)
& m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0))) )
& u1_struct_0(X1) = X3
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) )
& ( ! [X3] :
( ! [X4] :
( k5_subset_1(u1_struct_0(X0),X3,k3_tex_4(X0,X4)) = k4_pre_topc(X0,X1,X2,X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0))) )
| u1_struct_0(X1) != X3
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
| k4_tsp_2(X0,X1) != X2 ) )
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2) )
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f220]) ).
fof(f302,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( k4_tsp_2(X0,X1) = X2
| ? [X3] :
( ? [X4] :
( k5_subset_1(u1_struct_0(X0),X3,k3_tex_4(X0,X4)) != k4_pre_topc(X0,X1,X2,X4)
& m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0))) )
& u1_struct_0(X1) = X3
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) )
& ( ! [X5] :
( ! [X6] :
( k5_subset_1(u1_struct_0(X0),X5,k3_tex_4(X0,X6)) = k4_pre_topc(X0,X1,X2,X6)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X0))) )
| u1_struct_0(X1) != X5
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X0))) )
| k4_tsp_2(X0,X1) != X2 ) )
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2) )
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(rectify,[],[f301]) ).
fof(f303,plain,
! [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( k5_subset_1(u1_struct_0(X0),X3,k3_tex_4(X0,X4)) != k4_pre_topc(X0,X1,X2,X4)
& m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0))) )
& u1_struct_0(X1) = X3
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( ? [X4] :
( k4_pre_topc(X0,X1,X2,X4) != k5_subset_1(u1_struct_0(X0),sK7(X0,X1,X2),k3_tex_4(X0,X4))
& m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0))) )
& u1_struct_0(X1) = sK7(X0,X1,X2)
& m1_subset_1(sK7(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f304,plain,
! [X0,X1,X2] :
( ? [X4] :
( k4_pre_topc(X0,X1,X2,X4) != k5_subset_1(u1_struct_0(X0),sK7(X0,X1,X2),k3_tex_4(X0,X4))
& m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( k5_subset_1(u1_struct_0(X0),sK7(X0,X1,X2),k3_tex_4(X0,sK8(X0,X1,X2))) != k4_pre_topc(X0,X1,X2,sK8(X0,X1,X2))
& m1_subset_1(sK8(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f305,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( k4_tsp_2(X0,X1) = X2
| ( k5_subset_1(u1_struct_0(X0),sK7(X0,X1,X2),k3_tex_4(X0,sK8(X0,X1,X2))) != k4_pre_topc(X0,X1,X2,sK8(X0,X1,X2))
& m1_subset_1(sK8(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0)))
& u1_struct_0(X1) = sK7(X0,X1,X2)
& m1_subset_1(sK7(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0))) ) )
& ( ! [X5] :
( ! [X6] :
( k5_subset_1(u1_struct_0(X0),X5,k3_tex_4(X0,X6)) = k4_pre_topc(X0,X1,X2,X6)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X0))) )
| u1_struct_0(X1) != X5
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X0))) )
| k4_tsp_2(X0,X1) != X2 ) )
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2) )
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8])],[f302,f304,f303]) ).
fof(f306,plain,
! [X0,X1] :
( ( ( m2_tsp_1(X1,X0)
| ~ sP1(X1,X0) )
& ( sP1(X1,X0)
| ~ m2_tsp_1(X1,X0) ) )
| ~ sP2(X0,X1) ),
inference(nnf_transformation,[],[f292]) ).
fof(f307,plain,
! [X1,X0] :
( ( sP1(X1,X0)
| ? [X2] :
( ( ! [X3] :
( k3_xboole_0(X3,u1_struct_0(X1)) != X2
| ~ v4_pre_topc(X3,X0)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ v4_pre_topc(X2,X1) )
& ( ? [X3] :
( k3_xboole_0(X3,u1_struct_0(X1)) = X2
& v4_pre_topc(X3,X0)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
| v4_pre_topc(X2,X1) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ r1_tarski(u1_struct_0(X1),u1_struct_0(X0)) )
& ( ( ! [X2] :
( ( ( v4_pre_topc(X2,X1)
| ! [X3] :
( k3_xboole_0(X3,u1_struct_0(X1)) != X2
| ~ v4_pre_topc(X3,X0)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) )
& ( ? [X3] :
( k3_xboole_0(X3,u1_struct_0(X1)) = X2
& v4_pre_topc(X3,X0)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ v4_pre_topc(X2,X1) ) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
& r1_tarski(u1_struct_0(X1),u1_struct_0(X0)) )
| ~ sP1(X1,X0) ) ),
inference(nnf_transformation,[],[f291]) ).
fof(f308,plain,
! [X1,X0] :
( ( sP1(X1,X0)
| ? [X2] :
( ( ! [X3] :
( k3_xboole_0(X3,u1_struct_0(X1)) != X2
| ~ v4_pre_topc(X3,X0)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ v4_pre_topc(X2,X1) )
& ( ? [X3] :
( k3_xboole_0(X3,u1_struct_0(X1)) = X2
& v4_pre_topc(X3,X0)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
| v4_pre_topc(X2,X1) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ r1_tarski(u1_struct_0(X1),u1_struct_0(X0)) )
& ( ( ! [X2] :
( ( ( v4_pre_topc(X2,X1)
| ! [X3] :
( k3_xboole_0(X3,u1_struct_0(X1)) != X2
| ~ v4_pre_topc(X3,X0)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) )
& ( ? [X3] :
( k3_xboole_0(X3,u1_struct_0(X1)) = X2
& v4_pre_topc(X3,X0)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ v4_pre_topc(X2,X1) ) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
& r1_tarski(u1_struct_0(X1),u1_struct_0(X0)) )
| ~ sP1(X1,X0) ) ),
inference(flattening,[],[f307]) ).
fof(f309,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| ? [X2] :
( ( ! [X3] :
( k3_xboole_0(X3,u1_struct_0(X0)) != X2
| ~ v4_pre_topc(X3,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ v4_pre_topc(X2,X0) )
& ( ? [X4] :
( k3_xboole_0(X4,u1_struct_0(X0)) = X2
& v4_pre_topc(X4,X1)
& m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1))) )
| v4_pre_topc(X2,X0) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ r1_tarski(u1_struct_0(X0),u1_struct_0(X1)) )
& ( ( ! [X5] :
( ( ( v4_pre_topc(X5,X0)
| ! [X6] :
( k3_xboole_0(X6,u1_struct_0(X0)) != X5
| ~ v4_pre_topc(X6,X1)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X1))) ) )
& ( ? [X7] :
( k3_xboole_0(X7,u1_struct_0(X0)) = X5
& v4_pre_topc(X7,X1)
& m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ v4_pre_topc(X5,X0) ) )
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X0))) )
& r1_tarski(u1_struct_0(X0),u1_struct_0(X1)) )
| ~ sP1(X0,X1) ) ),
inference(rectify,[],[f308]) ).
fof(f310,plain,
! [X0,X1] :
( ? [X2] :
( ( ! [X3] :
( k3_xboole_0(X3,u1_struct_0(X0)) != X2
| ~ v4_pre_topc(X3,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ v4_pre_topc(X2,X0) )
& ( ? [X4] :
( k3_xboole_0(X4,u1_struct_0(X0)) = X2
& v4_pre_topc(X4,X1)
& m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1))) )
| v4_pre_topc(X2,X0) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( ( ! [X3] :
( k3_xboole_0(X3,u1_struct_0(X0)) != sK9(X0,X1)
| ~ v4_pre_topc(X3,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ v4_pre_topc(sK9(X0,X1),X0) )
& ( ? [X4] :
( k3_xboole_0(X4,u1_struct_0(X0)) = sK9(X0,X1)
& v4_pre_topc(X4,X1)
& m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1))) )
| v4_pre_topc(sK9(X0,X1),X0) )
& m1_subset_1(sK9(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f311,plain,
! [X0,X1] :
( ? [X4] :
( k3_xboole_0(X4,u1_struct_0(X0)) = sK9(X0,X1)
& v4_pre_topc(X4,X1)
& m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1))) )
=> ( sK9(X0,X1) = k3_xboole_0(sK10(X0,X1),u1_struct_0(X0))
& v4_pre_topc(sK10(X0,X1),X1)
& m1_subset_1(sK10(X0,X1),k1_zfmisc_1(u1_struct_0(X1))) ) ),
introduced(choice_axiom,[]) ).
fof(f312,plain,
! [X0,X1,X5] :
( ? [X7] :
( k3_xboole_0(X7,u1_struct_0(X0)) = X5
& v4_pre_topc(X7,X1)
& m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X1))) )
=> ( k3_xboole_0(sK11(X0,X1,X5),u1_struct_0(X0)) = X5
& v4_pre_topc(sK11(X0,X1,X5),X1)
& m1_subset_1(sK11(X0,X1,X5),k1_zfmisc_1(u1_struct_0(X1))) ) ),
introduced(choice_axiom,[]) ).
fof(f313,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| ( ( ! [X3] :
( k3_xboole_0(X3,u1_struct_0(X0)) != sK9(X0,X1)
| ~ v4_pre_topc(X3,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ v4_pre_topc(sK9(X0,X1),X0) )
& ( ( sK9(X0,X1) = k3_xboole_0(sK10(X0,X1),u1_struct_0(X0))
& v4_pre_topc(sK10(X0,X1),X1)
& m1_subset_1(sK10(X0,X1),k1_zfmisc_1(u1_struct_0(X1))) )
| v4_pre_topc(sK9(X0,X1),X0) )
& m1_subset_1(sK9(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ r1_tarski(u1_struct_0(X0),u1_struct_0(X1)) )
& ( ( ! [X5] :
( ( ( v4_pre_topc(X5,X0)
| ! [X6] :
( k3_xboole_0(X6,u1_struct_0(X0)) != X5
| ~ v4_pre_topc(X6,X1)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X1))) ) )
& ( ( k3_xboole_0(sK11(X0,X1,X5),u1_struct_0(X0)) = X5
& v4_pre_topc(sK11(X0,X1,X5),X1)
& m1_subset_1(sK11(X0,X1,X5),k1_zfmisc_1(u1_struct_0(X1))) )
| ~ v4_pre_topc(X5,X0) ) )
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X0))) )
& r1_tarski(u1_struct_0(X0),u1_struct_0(X1)) )
| ~ sP1(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11])],[f309,f312,f311,f310]) ).
fof(f353,plain,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) )
& ( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f110]) ).
fof(f354,plain,
! [X0] :
( ! [X1] :
( ( m2_tsp_1(X1,X0)
| ~ m1_pre_topc(X1,X0) )
& ( m1_pre_topc(X1,X0)
| ~ m2_tsp_1(X1,X0) ) )
| ~ l1_pre_topc(X0) ),
inference(nnf_transformation,[],[f276]) ).
fof(f355,plain,
! [X0,X1] :
( ( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) )
& ( r1_tarski(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ) ),
inference(nnf_transformation,[],[f117]) ).
fof(f356,plain,
~ v3_struct_0(sK4),
inference(cnf_transformation,[],[f299]) ).
fof(f357,plain,
v2_pre_topc(sK4),
inference(cnf_transformation,[],[f299]) ).
fof(f358,plain,
l1_pre_topc(sK4),
inference(cnf_transformation,[],[f299]) ).
fof(f359,plain,
~ v3_struct_0(sK5),
inference(cnf_transformation,[],[f299]) ).
fof(f360,plain,
v2_tsp_2(sK5,sK4),
inference(cnf_transformation,[],[f299]) ).
fof(f361,plain,
m2_tsp_1(sK5,sK4),
inference(cnf_transformation,[],[f299]) ).
fof(f362,plain,
m1_subset_1(sK6,k1_zfmisc_1(u1_struct_0(sK4))),
inference(cnf_transformation,[],[f299]) ).
fof(f363,plain,
v4_pre_topc(sK6,sK4),
inference(cnf_transformation,[],[f299]) ).
fof(f364,plain,
~ v4_pre_topc(k4_pre_topc(sK4,sK5,k4_tsp_2(sK4,sK5),sK6),sK5),
inference(cnf_transformation,[],[f299]) ).
fof(f465,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
inference(cnf_transformation,[],[f50]) ).
fof(f467,plain,
! [X2,X0,X1,X6,X5] :
( k5_subset_1(u1_struct_0(X0),X5,k3_tex_4(X0,X6)) = k4_pre_topc(X0,X1,X2,X6)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X0)))
| u1_struct_0(X1) != X5
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X0)))
| k4_tsp_2(X0,X1) != X2
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f305]) ).
fof(f472,plain,
! [X0,X1] :
( sP1(X1,X0)
| ~ m2_tsp_1(X1,X0)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f306]) ).
fof(f478,plain,
! [X0,X1,X6,X5] :
( v4_pre_topc(X5,X0)
| k3_xboole_0(X6,u1_struct_0(X0)) != X5
| ~ v4_pre_topc(X6,X1)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X0)))
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f313]) ).
fof(f484,plain,
! [X0,X1] :
( sP2(X0,X1)
| ~ l1_pre_topc(X1)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f293]) ).
fof(f488,plain,
! [X0,X1] :
( m2_relset_1(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_pre_topc(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f223]) ).
fof(f490,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(k4_pre_topc(X0,X1,X2,X3),k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X1)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f227]) ).
fof(f491,plain,
! [X0,X1] :
( v1_funct_1(k4_tsp_2(X0,X1))
| ~ m1_pre_topc(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f229]) ).
fof(f492,plain,
! [X0,X1] :
( v1_funct_2(k4_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_pre_topc(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f229]) ).
fof(f493,plain,
! [X0,X1] :
( v5_pre_topc(k4_tsp_2(X0,X1),X0,X1)
| ~ m1_pre_topc(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f229]) ).
fof(f494,plain,
! [X0,X1] :
( m2_relset_1(k4_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_pre_topc(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f229]) ).
fof(f496,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f232]) ).
fof(f499,plain,
! [X0,X1] :
( l1_pre_topc(X1)
| ~ m2_tsp_1(X1,X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f235]) ).
fof(f597,plain,
! [X0,X1] :
( k4_tsp_2(X0,X1) = k1_tsp_2(X0,X1)
| ~ m1_pre_topc(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f273]) ).
fof(f598,plain,
! [X2,X0,X1] :
( k5_subset_1(X0,X1,X2) = k3_xboole_0(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f275]) ).
fof(f599,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f353]) ).
fof(f601,plain,
! [X0,X1] :
( m1_pre_topc(X1,X0)
| ~ m2_tsp_1(X1,X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f354]) ).
fof(f605,plain,
! [X0,X1] :
( m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_pre_topc(X1,X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f278]) ).
fof(f608,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f355]) ).
fof(f609,plain,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f355]) ).
fof(f612,plain,
! [X0,X1] :
( k3_tex_4(X0,X1) = X1
| ~ v4_pre_topc(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f285]) ).
fof(f616,plain,
! [X2,X0,X1,X6] :
( k4_pre_topc(X0,X1,X2,X6) = k5_subset_1(u1_struct_0(X0),u1_struct_0(X1),k3_tex_4(X0,X6))
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0)))
| k4_tsp_2(X0,X1) != X2
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(equality_resolution,[],[f467]) ).
fof(f617,plain,
! [X0,X1,X6] :
( k5_subset_1(u1_struct_0(X0),u1_struct_0(X1),k3_tex_4(X0,X6)) = k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X6)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_relset_1(k4_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(k4_tsp_2(X0,X1),X0,X1)
| ~ v1_funct_2(k4_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(k4_tsp_2(X0,X1))
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(equality_resolution,[],[f616]) ).
fof(f618,plain,
! [X0,X1,X6] :
( v4_pre_topc(k3_xboole_0(X6,u1_struct_0(X0)),X0)
| ~ v4_pre_topc(X6,X1)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(k3_xboole_0(X6,u1_struct_0(X0)),k1_zfmisc_1(u1_struct_0(X0)))
| ~ sP1(X0,X1) ),
inference(equality_resolution,[],[f478]) ).
cnf(c_49,negated_conjecture,
~ v4_pre_topc(k4_pre_topc(sK4,sK5,k4_tsp_2(sK4,sK5),sK6),sK5),
inference(cnf_transformation,[],[f364]) ).
cnf(c_50,negated_conjecture,
v4_pre_topc(sK6,sK4),
inference(cnf_transformation,[],[f363]) ).
cnf(c_51,negated_conjecture,
m1_subset_1(sK6,k1_zfmisc_1(u1_struct_0(sK4))),
inference(cnf_transformation,[],[f362]) ).
cnf(c_52,negated_conjecture,
m2_tsp_1(sK5,sK4),
inference(cnf_transformation,[],[f361]) ).
cnf(c_53,negated_conjecture,
v2_tsp_2(sK5,sK4),
inference(cnf_transformation,[],[f360]) ).
cnf(c_54,negated_conjecture,
~ v3_struct_0(sK5),
inference(cnf_transformation,[],[f359]) ).
cnf(c_55,negated_conjecture,
l1_pre_topc(sK4),
inference(cnf_transformation,[],[f358]) ).
cnf(c_56,negated_conjecture,
v2_pre_topc(sK4),
inference(cnf_transformation,[],[f357]) ).
cnf(c_57,negated_conjecture,
~ v3_struct_0(sK4),
inference(cnf_transformation,[],[f356]) ).
cnf(c_126,plain,
k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
inference(cnf_transformation,[],[f465]) ).
cnf(c_132,plain,
( ~ m2_relset_1(k4_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(k4_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(k4_tsp_2(X0,X1),X0,X1)
| ~ m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(k4_tsp_2(X0,X1))
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| k5_subset_1(u1_struct_0(X0),u1_struct_0(X1),k3_tex_4(X0,X2)) = k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X2)
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f617]) ).
cnf(c_134,plain,
( ~ m2_tsp_1(X0,X1)
| ~ sP2(X1,X0)
| sP1(X0,X1) ),
inference(cnf_transformation,[],[f472]) ).
cnf(c_140,plain,
( ~ m1_subset_1(k3_xboole_0(X0,u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X2)))
| ~ v4_pre_topc(X0,X2)
| ~ sP1(X1,X2)
| v4_pre_topc(k3_xboole_0(X0,u1_struct_0(X1)),X1) ),
inference(cnf_transformation,[],[f618]) ).
cnf(c_145,plain,
( ~ l1_pre_topc(X0)
| ~ l1_pre_topc(X1)
| sP2(X1,X0) ),
inference(cnf_transformation,[],[f484]) ).
cnf(c_146,plain,
( ~ v2_tsp_2(X0,X1)
| ~ m1_pre_topc(X0,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| m2_relset_1(k1_tsp_2(X1,X0),u1_struct_0(X1),u1_struct_0(X0))
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f488]) ).
cnf(c_151,plain,
( ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X0)
| ~ l1_struct_0(X1)
| ~ l1_struct_0(X2)
| m1_subset_1(k4_pre_topc(X1,X2,X0,X3),k1_zfmisc_1(u1_struct_0(X2))) ),
inference(cnf_transformation,[],[f490]) ).
cnf(c_152,plain,
( ~ v2_tsp_2(X0,X1)
| ~ m1_pre_topc(X0,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| m2_relset_1(k4_tsp_2(X1,X0),u1_struct_0(X1),u1_struct_0(X0))
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f494]) ).
cnf(c_153,plain,
( ~ v2_tsp_2(X0,X1)
| ~ m1_pre_topc(X0,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| v5_pre_topc(k4_tsp_2(X1,X0),X1,X0)
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f493]) ).
cnf(c_154,plain,
( ~ v2_tsp_2(X0,X1)
| ~ m1_pre_topc(X0,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| v1_funct_2(k4_tsp_2(X1,X0),u1_struct_0(X1),u1_struct_0(X0))
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f492]) ).
cnf(c_155,plain,
( ~ v2_tsp_2(X0,X1)
| ~ m1_pre_topc(X0,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| v1_funct_1(k4_tsp_2(X1,X0))
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f491]) ).
cnf(c_157,plain,
( ~ l1_pre_topc(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f496]) ).
cnf(c_160,plain,
( ~ m2_tsp_1(X0,X1)
| ~ l1_pre_topc(X1)
| l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f499]) ).
cnf(c_258,plain,
( ~ v2_tsp_2(X0,X1)
| ~ m1_pre_topc(X0,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| k4_tsp_2(X1,X0) = k1_tsp_2(X1,X0)
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f597]) ).
cnf(c_259,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| k5_subset_1(X1,X0,X2) = k3_xboole_0(X0,X2) ),
inference(cnf_transformation,[],[f598]) ).
cnf(c_261,plain,
( ~ m2_relset_1(X0,X1,X2)
| m1_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f599]) ).
cnf(c_263,plain,
( ~ m2_tsp_1(X0,X1)
| ~ l1_pre_topc(X1)
| m1_pre_topc(X0,X1) ),
inference(cnf_transformation,[],[f601]) ).
cnf(c_266,plain,
( ~ m1_pre_topc(X0,X1)
| ~ l1_pre_topc(X1)
| m1_subset_1(u1_struct_0(X0),k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f605]) ).
cnf(c_269,plain,
( ~ r1_tarski(X0,X1)
| m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f609]) ).
cnf(c_270,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f608]) ).
cnf(c_273,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v4_pre_topc(X0,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| k3_tex_4(X1,X0) = X0
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f612]) ).
cnf(c_424,plain,
( ~ r1_tarski(X0,X1)
| m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(prop_impl_just,[status(thm)],[c_269]) ).
cnf(c_426,plain,
( m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_261]) ).
cnf(c_427,plain,
( ~ m2_relset_1(X0,X1,X2)
| m1_relset_1(X0,X1,X2) ),
inference(renaming,[status(thm)],[c_426]) ).
cnf(c_1011,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X2,X1)
| k5_subset_1(X1,X2,X0) = k3_xboole_0(X2,X0) ),
inference(bin_hyper_res,[status(thm)],[c_259,c_424]) ).
cnf(c_2347,plain,
( X0 != X1
| X2 != X3
| ~ m2_tsp_1(X1,X3)
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(X2)
| sP1(X1,X3) ),
inference(resolution_lifted,[status(thm)],[c_145,c_134]) ).
cnf(c_2348,plain,
( ~ m2_tsp_1(X0,X1)
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(X1)
| sP1(X0,X1) ),
inference(unflattening,[status(thm)],[c_2347]) ).
cnf(c_2350,plain,
( ~ m2_tsp_1(X0,X1)
| ~ l1_pre_topc(X1)
| sP1(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_2348,c_160,c_2348]) ).
cnf(c_3064,plain,
( X0 != sK4
| X1 != sK5
| ~ m1_pre_topc(X1,X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| k4_tsp_2(X0,X1) = k1_tsp_2(X0,X1)
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_53,c_258]) ).
cnf(c_3065,plain,
( ~ m1_pre_topc(sK5,sK4)
| ~ l1_pre_topc(sK4)
| ~ v2_pre_topc(sK4)
| k4_tsp_2(sK4,sK5) = k1_tsp_2(sK4,sK5)
| v3_struct_0(sK4)
| v3_struct_0(sK5) ),
inference(unflattening,[status(thm)],[c_3064]) ).
cnf(c_3066,plain,
( ~ m1_pre_topc(sK5,sK4)
| k4_tsp_2(sK4,sK5) = k1_tsp_2(sK4,sK5) ),
inference(global_subsumption_just,[status(thm)],[c_3065,c_56,c_55,c_57,c_54,c_3065]) ).
cnf(c_3074,plain,
( X0 != sK4
| X1 != sK5
| ~ m1_pre_topc(X1,X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v1_funct_1(k4_tsp_2(X0,X1))
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_53,c_155]) ).
cnf(c_3075,plain,
( ~ m1_pre_topc(sK5,sK4)
| ~ l1_pre_topc(sK4)
| ~ v2_pre_topc(sK4)
| v1_funct_1(k4_tsp_2(sK4,sK5))
| v3_struct_0(sK4)
| v3_struct_0(sK5) ),
inference(unflattening,[status(thm)],[c_3074]) ).
cnf(c_3076,plain,
( ~ m1_pre_topc(sK5,sK4)
| v1_funct_1(k4_tsp_2(sK4,sK5)) ),
inference(global_subsumption_just,[status(thm)],[c_3075,c_56,c_55,c_57,c_54,c_3075]) ).
cnf(c_3084,plain,
( X0 != sK4
| X1 != sK5
| ~ m1_pre_topc(X1,X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v1_funct_2(k4_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_53,c_154]) ).
cnf(c_3085,plain,
( ~ m1_pre_topc(sK5,sK4)
| ~ l1_pre_topc(sK4)
| ~ v2_pre_topc(sK4)
| v1_funct_2(k4_tsp_2(sK4,sK5),u1_struct_0(sK4),u1_struct_0(sK5))
| v3_struct_0(sK4)
| v3_struct_0(sK5) ),
inference(unflattening,[status(thm)],[c_3084]) ).
cnf(c_3086,plain,
( ~ m1_pre_topc(sK5,sK4)
| v1_funct_2(k4_tsp_2(sK4,sK5),u1_struct_0(sK4),u1_struct_0(sK5)) ),
inference(global_subsumption_just,[status(thm)],[c_3085,c_56,c_55,c_57,c_54,c_3085]) ).
cnf(c_3094,plain,
( X0 != sK4
| X1 != sK5
| ~ m1_pre_topc(X1,X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v5_pre_topc(k4_tsp_2(X0,X1),X0,X1)
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_53,c_153]) ).
cnf(c_3095,plain,
( ~ m1_pre_topc(sK5,sK4)
| ~ l1_pre_topc(sK4)
| ~ v2_pre_topc(sK4)
| v5_pre_topc(k4_tsp_2(sK4,sK5),sK4,sK5)
| v3_struct_0(sK4)
| v3_struct_0(sK5) ),
inference(unflattening,[status(thm)],[c_3094]) ).
cnf(c_3096,plain,
( ~ m1_pre_topc(sK5,sK4)
| v5_pre_topc(k4_tsp_2(sK4,sK5),sK4,sK5) ),
inference(global_subsumption_just,[status(thm)],[c_3095,c_56,c_55,c_57,c_54,c_3095]) ).
cnf(c_3104,plain,
( X0 != sK4
| X1 != sK5
| ~ m1_pre_topc(X1,X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| m2_relset_1(k4_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_53,c_152]) ).
cnf(c_3105,plain,
( ~ m1_pre_topc(sK5,sK4)
| ~ l1_pre_topc(sK4)
| ~ v2_pre_topc(sK4)
| m2_relset_1(k4_tsp_2(sK4,sK5),u1_struct_0(sK4),u1_struct_0(sK5))
| v3_struct_0(sK4)
| v3_struct_0(sK5) ),
inference(unflattening,[status(thm)],[c_3104]) ).
cnf(c_3106,plain,
( ~ m1_pre_topc(sK5,sK4)
| m2_relset_1(k4_tsp_2(sK4,sK5),u1_struct_0(sK4),u1_struct_0(sK5)) ),
inference(global_subsumption_just,[status(thm)],[c_3105,c_56,c_55,c_57,c_54,c_3105]) ).
cnf(c_3144,plain,
( X0 != sK4
| X1 != sK5
| ~ m1_pre_topc(X1,X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| m2_relset_1(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_53,c_146]) ).
cnf(c_3145,plain,
( ~ m1_pre_topc(sK5,sK4)
| ~ l1_pre_topc(sK4)
| ~ v2_pre_topc(sK4)
| m2_relset_1(k1_tsp_2(sK4,sK5),u1_struct_0(sK4),u1_struct_0(sK5))
| v3_struct_0(sK4)
| v3_struct_0(sK5) ),
inference(unflattening,[status(thm)],[c_3144]) ).
cnf(c_3146,plain,
( ~ m1_pre_topc(sK5,sK4)
| m2_relset_1(k1_tsp_2(sK4,sK5),u1_struct_0(sK4),u1_struct_0(sK5)) ),
inference(global_subsumption_just,[status(thm)],[c_3145,c_56,c_55,c_57,c_54,c_3145]) ).
cnf(c_3154,plain,
( X0 != sK4
| X1 != sK5
| ~ m2_relset_1(k4_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(k4_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(k4_tsp_2(X0,X1),X0,X1)
| ~ m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(k4_tsp_2(X0,X1))
| ~ m2_tsp_1(X1,X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| k5_subset_1(u1_struct_0(X0),u1_struct_0(X1),k3_tex_4(X0,X2)) = k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X2)
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_53,c_132]) ).
cnf(c_3155,plain,
( ~ m2_relset_1(k4_tsp_2(sK4,sK5),u1_struct_0(sK4),u1_struct_0(sK5))
| ~ v1_funct_2(k4_tsp_2(sK4,sK5),u1_struct_0(sK4),u1_struct_0(sK5))
| ~ m1_subset_1(u1_struct_0(sK5),k1_zfmisc_1(u1_struct_0(sK4)))
| ~ v5_pre_topc(k4_tsp_2(sK4,sK5),sK4,sK5)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ v1_funct_1(k4_tsp_2(sK4,sK5))
| ~ m2_tsp_1(sK5,sK4)
| ~ l1_pre_topc(sK4)
| ~ v2_pre_topc(sK4)
| k5_subset_1(u1_struct_0(sK4),u1_struct_0(sK5),k3_tex_4(sK4,X0)) = k4_pre_topc(sK4,sK5,k4_tsp_2(sK4,sK5),X0)
| v3_struct_0(sK4)
| v3_struct_0(sK5) ),
inference(unflattening,[status(thm)],[c_3154]) ).
cnf(c_3157,plain,
( ~ v1_funct_1(k4_tsp_2(sK4,sK5))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ v5_pre_topc(k4_tsp_2(sK4,sK5),sK4,sK5)
| ~ m1_subset_1(u1_struct_0(sK5),k1_zfmisc_1(u1_struct_0(sK4)))
| ~ v1_funct_2(k4_tsp_2(sK4,sK5),u1_struct_0(sK4),u1_struct_0(sK5))
| ~ m2_relset_1(k4_tsp_2(sK4,sK5),u1_struct_0(sK4),u1_struct_0(sK5))
| k5_subset_1(u1_struct_0(sK4),u1_struct_0(sK5),k3_tex_4(sK4,X0)) = k4_pre_topc(sK4,sK5,k4_tsp_2(sK4,sK5),X0) ),
inference(global_subsumption_just,[status(thm)],[c_3155,c_56,c_55,c_57,c_54,c_52,c_3155]) ).
cnf(c_3158,plain,
( ~ m2_relset_1(k4_tsp_2(sK4,sK5),u1_struct_0(sK4),u1_struct_0(sK5))
| ~ v1_funct_2(k4_tsp_2(sK4,sK5),u1_struct_0(sK4),u1_struct_0(sK5))
| ~ m1_subset_1(u1_struct_0(sK5),k1_zfmisc_1(u1_struct_0(sK4)))
| ~ v5_pre_topc(k4_tsp_2(sK4,sK5),sK4,sK5)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ v1_funct_1(k4_tsp_2(sK4,sK5))
| k5_subset_1(u1_struct_0(sK4),u1_struct_0(sK5),k3_tex_4(sK4,X0)) = k4_pre_topc(sK4,sK5,k4_tsp_2(sK4,sK5),X0) ),
inference(renaming,[status(thm)],[c_3157]) ).
cnf(c_3361,plain,
( X0 != sK4
| X1 != sK5
| ~ l1_pre_topc(X0)
| sP1(X1,X0) ),
inference(resolution_lifted,[status(thm)],[c_52,c_2350]) ).
cnf(c_3362,plain,
( ~ l1_pre_topc(sK4)
| sP1(sK5,sK4) ),
inference(unflattening,[status(thm)],[c_3361]) ).
cnf(c_3368,plain,
( X0 != sK4
| X1 != sK5
| ~ l1_pre_topc(X0)
| m1_pre_topc(X1,X0) ),
inference(resolution_lifted,[status(thm)],[c_52,c_263]) ).
cnf(c_3369,plain,
( ~ l1_pre_topc(sK4)
| m1_pre_topc(sK5,sK4) ),
inference(unflattening,[status(thm)],[c_3368]) ).
cnf(c_3370,plain,
m1_pre_topc(sK5,sK4),
inference(global_subsumption_just,[status(thm)],[c_3369,c_55,c_3369]) ).
cnf(c_3375,plain,
( X0 != sK4
| X1 != sK5
| ~ l1_pre_topc(X0)
| l1_pre_topc(X1) ),
inference(resolution_lifted,[status(thm)],[c_52,c_160]) ).
cnf(c_3376,plain,
( ~ l1_pre_topc(sK4)
| l1_pre_topc(sK5) ),
inference(unflattening,[status(thm)],[c_3375]) ).
cnf(c_3377,plain,
l1_pre_topc(sK5),
inference(global_subsumption_just,[status(thm)],[c_3376,c_55,c_3376]) ).
cnf(c_3420,plain,
v1_funct_2(k4_tsp_2(sK4,sK5),u1_struct_0(sK4),u1_struct_0(sK5)),
inference(backward_subsumption_resolution,[status(thm)],[c_3086,c_3370]) ).
cnf(c_3422,plain,
m2_relset_1(k1_tsp_2(sK4,sK5),u1_struct_0(sK4),u1_struct_0(sK5)),
inference(backward_subsumption_resolution,[status(thm)],[c_3146,c_3370]) ).
cnf(c_3425,plain,
v5_pre_topc(k4_tsp_2(sK4,sK5),sK4,sK5),
inference(backward_subsumption_resolution,[status(thm)],[c_3096,c_3370]) ).
cnf(c_3434,plain,
( ~ m2_relset_1(k4_tsp_2(sK4,sK5),u1_struct_0(sK4),u1_struct_0(sK5))
| ~ v1_funct_2(k4_tsp_2(sK4,sK5),u1_struct_0(sK4),u1_struct_0(sK5))
| ~ m1_subset_1(u1_struct_0(sK5),k1_zfmisc_1(u1_struct_0(sK4)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ v1_funct_1(k4_tsp_2(sK4,sK5))
| k5_subset_1(u1_struct_0(sK4),u1_struct_0(sK5),k3_tex_4(sK4,X0)) = k4_pre_topc(sK4,sK5,k4_tsp_2(sK4,sK5),X0) ),
inference(resolution,[status(thm)],[c_3425,c_3158]) ).
cnf(c_3436,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ m1_subset_1(u1_struct_0(sK5),k1_zfmisc_1(u1_struct_0(sK4)))
| k5_subset_1(u1_struct_0(sK4),u1_struct_0(sK5),k3_tex_4(sK4,X0)) = k4_pre_topc(sK4,sK5,k4_tsp_2(sK4,sK5),X0) ),
inference(global_subsumption_just,[status(thm)],[c_3434,c_55,c_3076,c_3086,c_3096,c_3106,c_3158,c_3369]) ).
cnf(c_3437,plain,
( ~ m1_subset_1(u1_struct_0(sK5),k1_zfmisc_1(u1_struct_0(sK4)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK4)))
| k5_subset_1(u1_struct_0(sK4),u1_struct_0(sK5),k3_tex_4(sK4,X0)) = k4_pre_topc(sK4,sK5,k4_tsp_2(sK4,sK5),X0) ),
inference(renaming,[status(thm)],[c_3436]) ).
cnf(c_3483,plain,
( k1_tsp_2(sK4,sK5) != X0
| u1_struct_0(sK4) != X1
| u1_struct_0(sK5) != X2
| m1_relset_1(X0,X1,X2) ),
inference(resolution_lifted,[status(thm)],[c_427,c_3422]) ).
cnf(c_3484,plain,
m1_relset_1(k1_tsp_2(sK4,sK5),u1_struct_0(sK4),u1_struct_0(sK5)),
inference(unflattening,[status(thm)],[c_3483]) ).
cnf(c_3515,plain,
( k4_tsp_2(sK4,sK5) != X2
| u1_struct_0(X0) != u1_struct_0(sK4)
| u1_struct_0(X1) != u1_struct_0(sK5)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X1)
| m1_subset_1(k4_pre_topc(X0,X1,X2,X3),k1_zfmisc_1(u1_struct_0(X1))) ),
inference(resolution_lifted,[status(thm)],[c_151,c_3420]) ).
cnf(c_3516,plain,
( u1_struct_0(X0) != u1_struct_0(sK4)
| u1_struct_0(X1) != u1_struct_0(sK5)
| ~ m1_relset_1(k4_tsp_2(sK4,sK5),u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(k4_tsp_2(sK4,sK5))
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X1)
| m1_subset_1(k4_pre_topc(X0,X1,k4_tsp_2(sK4,sK5),X2),k1_zfmisc_1(u1_struct_0(X1))) ),
inference(unflattening,[status(thm)],[c_3515]) ).
cnf(c_3518,plain,
( ~ m1_relset_1(k4_tsp_2(sK4,sK5),u1_struct_0(X0),u1_struct_0(X1))
| u1_struct_0(X1) != u1_struct_0(sK5)
| u1_struct_0(X0) != u1_struct_0(sK4)
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X1)
| m1_subset_1(k4_pre_topc(X0,X1,k4_tsp_2(sK4,sK5),X2),k1_zfmisc_1(u1_struct_0(X1))) ),
inference(global_subsumption_just,[status(thm)],[c_3516,c_56,c_55,c_57,c_54,c_3075,c_3369,c_3516]) ).
cnf(c_3519,plain,
( u1_struct_0(X0) != u1_struct_0(sK4)
| u1_struct_0(X1) != u1_struct_0(sK5)
| ~ m1_relset_1(k4_tsp_2(sK4,sK5),u1_struct_0(X0),u1_struct_0(X1))
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X1)
| m1_subset_1(k4_pre_topc(X0,X1,k4_tsp_2(sK4,sK5),X2),k1_zfmisc_1(u1_struct_0(X1))) ),
inference(renaming,[status(thm)],[c_3518]) ).
cnf(c_3688,plain,
( X0 != sK5
| X1 != sK4
| ~ l1_pre_topc(X1)
| m1_subset_1(u1_struct_0(X0),k1_zfmisc_1(u1_struct_0(X1))) ),
inference(resolution_lifted,[status(thm)],[c_266,c_3370]) ).
cnf(c_3689,plain,
( ~ l1_pre_topc(sK4)
| m1_subset_1(u1_struct_0(sK5),k1_zfmisc_1(u1_struct_0(sK4))) ),
inference(unflattening,[status(thm)],[c_3688]) ).
cnf(c_3690,plain,
m1_subset_1(u1_struct_0(sK5),k1_zfmisc_1(u1_struct_0(sK4))),
inference(global_subsumption_just,[status(thm)],[c_3689,c_55,c_3689]) ).
cnf(c_4025,plain,
( k4_tsp_2(sK4,sK5) != k1_tsp_2(sK4,sK5)
| u1_struct_0(X0) != u1_struct_0(sK4)
| u1_struct_0(X1) != u1_struct_0(sK5)
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X1)
| m1_subset_1(k4_pre_topc(X0,X1,k4_tsp_2(sK4,sK5),X2),k1_zfmisc_1(u1_struct_0(X1))) ),
inference(resolution_lifted,[status(thm)],[c_3484,c_3519]) ).
cnf(c_4027,plain,
( u1_struct_0(X0) != u1_struct_0(sK4)
| u1_struct_0(X1) != u1_struct_0(sK5)
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X1)
| m1_subset_1(k4_pre_topc(X0,X1,k4_tsp_2(sK4,sK5),X2),k1_zfmisc_1(u1_struct_0(X1))) ),
inference(global_subsumption_just,[status(thm)],[c_4025,c_55,c_3066,c_3369,c_4025]) ).
cnf(c_4184,plain,
( X0 != sK4
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v4_pre_topc(X1,X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| k3_tex_4(X0,X1) = X1 ),
inference(resolution_lifted,[status(thm)],[c_57,c_273]) ).
cnf(c_4185,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ v4_pre_topc(X0,sK4)
| ~ l1_pre_topc(sK4)
| ~ v2_pre_topc(sK4)
| k3_tex_4(sK4,X0) = X0 ),
inference(unflattening,[status(thm)],[c_4184]) ).
cnf(c_4187,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ v4_pre_topc(X0,sK4)
| k3_tex_4(sK4,X0) = X0 ),
inference(global_subsumption_just,[status(thm)],[c_4185,c_56,c_55,c_4185]) ).
cnf(c_6043,plain,
( ~ r1_tarski(X0,X1)
| m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(prop_impl_just,[status(thm)],[c_269]) ).
cnf(c_6322,plain,
( ~ r1_tarski(X0,X1)
| ~ r1_tarski(X2,X1)
| k5_subset_1(X1,X2,X0) = k3_xboole_0(X2,X0) ),
inference(bin_hyper_res,[status(thm)],[c_1011,c_6043]) ).
cnf(c_7931,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK4)))
| k5_subset_1(u1_struct_0(sK4),u1_struct_0(sK5),k3_tex_4(sK4,X0)) = k4_pre_topc(sK4,sK5,k4_tsp_2(sK4,sK5),X0) ),
inference(prop_impl_just,[status(thm)],[c_55,c_3437,c_3689]) ).
cnf(c_11646,plain,
( u1_struct_0(X0) != u1_struct_0(sK5)
| ~ l1_struct_0(X0)
| ~ l1_struct_0(sK4)
| m1_subset_1(k4_pre_topc(sK4,X0,k4_tsp_2(sK4,sK5),X1),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(equality_resolution,[status(thm)],[c_4027]) ).
cnf(c_11648,plain,
( ~ l1_struct_0(sK4)
| ~ l1_struct_0(sK5)
| m1_subset_1(k4_pre_topc(sK4,sK5,k4_tsp_2(sK4,sK5),X0),k1_zfmisc_1(u1_struct_0(sK5))) ),
inference(equality_resolution,[status(thm)],[c_11646]) ).
cnf(c_11674,plain,
l1_struct_0(sK4),
inference(superposition,[status(thm)],[c_55,c_157]) ).
cnf(c_11676,plain,
l1_struct_0(sK5),
inference(superposition,[status(thm)],[c_3377,c_157]) ).
cnf(c_11677,plain,
( u1_struct_0(X0) != u1_struct_0(sK5)
| ~ l1_struct_0(X0)
| ~ l1_struct_0(sK4)
| m1_subset_1(k4_pre_topc(sK4,X0,k4_tsp_2(sK4,sK5),X1),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(equality_resolution,[status(thm)],[c_4027]) ).
cnf(c_11678,plain,
( ~ l1_struct_0(X0)
| u1_struct_0(X0) != u1_struct_0(sK5)
| m1_subset_1(k4_pre_topc(sK4,X0,k4_tsp_2(sK4,sK5),X1),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(global_subsumption_just,[status(thm)],[c_11677,c_11646,c_11674]) ).
cnf(c_11679,plain,
( u1_struct_0(X0) != u1_struct_0(sK5)
| ~ l1_struct_0(X0)
| m1_subset_1(k4_pre_topc(sK4,X0,k4_tsp_2(sK4,sK5),X1),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(renaming,[status(thm)],[c_11678]) ).
cnf(c_11720,plain,
( ~ v4_pre_topc(sK6,sK4)
| k3_tex_4(sK4,sK6) = sK6 ),
inference(superposition,[status(thm)],[c_51,c_4187]) ).
cnf(c_187450,plain,
( ~ v4_pre_topc(sK6,sK4)
| k3_tex_4(sK4,sK6) = sK6 ),
inference(superposition,[status(thm)],[c_51,c_4187]) ).
cnf(c_187453,plain,
k3_tex_4(sK4,sK6) = sK6,
inference(global_subsumption_just,[status(thm)],[c_187450,c_50,c_11720]) ).
cnf(c_187456,plain,
( u1_struct_0(X0) != u1_struct_0(sK5)
| ~ l1_struct_0(X0)
| ~ l1_struct_0(sK4)
| m1_subset_1(k4_pre_topc(sK4,X0,k4_tsp_2(sK4,sK5),X1),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(equality_resolution,[status(thm)],[c_4027]) ).
cnf(c_187457,plain,
( ~ l1_struct_0(X0)
| u1_struct_0(X0) != u1_struct_0(sK5)
| m1_subset_1(k4_pre_topc(sK4,X0,k4_tsp_2(sK4,sK5),X1),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(global_subsumption_just,[status(thm)],[c_187456,c_11679]) ).
cnf(c_187458,plain,
( u1_struct_0(X0) != u1_struct_0(sK5)
| ~ l1_struct_0(X0)
| m1_subset_1(k4_pre_topc(sK4,X0,k4_tsp_2(sK4,sK5),X1),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(renaming,[status(thm)],[c_187457]) ).
cnf(c_187459,plain,
( ~ l1_struct_0(sK5)
| m1_subset_1(k4_pre_topc(sK4,sK5,k4_tsp_2(sK4,sK5),X0),k1_zfmisc_1(u1_struct_0(sK5))) ),
inference(equality_resolution,[status(thm)],[c_187458]) ).
cnf(c_187469,plain,
m1_subset_1(k4_pre_topc(sK4,sK5,k4_tsp_2(sK4,sK5),X0),k1_zfmisc_1(u1_struct_0(sK5))),
inference(global_subsumption_just,[status(thm)],[c_187459,c_11648,c_11676,c_11674]) ).
cnf(c_187476,plain,
r1_tarski(sK6,u1_struct_0(sK4)),
inference(superposition,[status(thm)],[c_51,c_270]) ).
cnf(c_187479,plain,
r1_tarski(u1_struct_0(sK5),u1_struct_0(sK4)),
inference(superposition,[status(thm)],[c_3690,c_270]) ).
cnf(c_187517,plain,
k5_subset_1(u1_struct_0(sK4),u1_struct_0(sK5),k3_tex_4(sK4,sK6)) = k4_pre_topc(sK4,sK5,k4_tsp_2(sK4,sK5),sK6),
inference(superposition,[status(thm)],[c_51,c_7931]) ).
cnf(c_187533,plain,
k4_pre_topc(sK4,sK5,k4_tsp_2(sK4,sK5),sK6) = k5_subset_1(u1_struct_0(sK4),u1_struct_0(sK5),sK6),
inference(superposition,[status(thm)],[c_187453,c_187517]) ).
cnf(c_187534,plain,
~ v4_pre_topc(k5_subset_1(u1_struct_0(sK4),u1_struct_0(sK5),sK6),sK5),
inference(superposition,[status(thm)],[c_187533,c_49]) ).
cnf(c_187537,plain,
m1_subset_1(k5_subset_1(u1_struct_0(sK4),u1_struct_0(sK5),sK6),k1_zfmisc_1(u1_struct_0(sK5))),
inference(superposition,[status(thm)],[c_187533,c_187469]) ).
cnf(c_187722,plain,
( ~ r1_tarski(X0,u1_struct_0(sK4))
| k5_subset_1(u1_struct_0(sK4),X0,sK6) = k3_xboole_0(X0,sK6) ),
inference(superposition,[status(thm)],[c_187476,c_6322]) ).
cnf(c_187835,plain,
k5_subset_1(u1_struct_0(sK4),u1_struct_0(sK5),sK6) = k3_xboole_0(u1_struct_0(sK5),sK6),
inference(superposition,[status(thm)],[c_187479,c_187722]) ).
cnf(c_187897,plain,
m1_subset_1(k3_xboole_0(u1_struct_0(sK5),sK6),k1_zfmisc_1(u1_struct_0(sK5))),
inference(superposition,[status(thm)],[c_187835,c_187537]) ).
cnf(c_187899,plain,
~ v4_pre_topc(k3_xboole_0(u1_struct_0(sK5),sK6),sK5),
inference(superposition,[status(thm)],[c_187835,c_187534]) ).
cnf(c_187914,plain,
~ v4_pre_topc(k3_xboole_0(sK6,u1_struct_0(sK5)),sK5),
inference(superposition,[status(thm)],[c_126,c_187899]) ).
cnf(c_188370,plain,
m1_subset_1(k3_xboole_0(sK6,u1_struct_0(sK5)),k1_zfmisc_1(u1_struct_0(sK5))),
inference(superposition,[status(thm)],[c_126,c_187897]) ).
cnf(c_188393,plain,
( ~ m1_subset_1(sK6,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v4_pre_topc(sK6,X0)
| ~ sP1(sK5,X0)
| v4_pre_topc(k3_xboole_0(sK6,u1_struct_0(sK5)),sK5) ),
inference(superposition,[status(thm)],[c_188370,c_140]) ).
cnf(c_189277,plain,
( ~ sP1(sK5,X0)
| ~ v4_pre_topc(sK6,X0)
| ~ m1_subset_1(sK6,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(global_subsumption_just,[status(thm)],[c_188393,c_187914,c_188393]) ).
cnf(c_189278,plain,
( ~ m1_subset_1(sK6,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v4_pre_topc(sK6,X0)
| ~ sP1(sK5,X0) ),
inference(renaming,[status(thm)],[c_189277]) ).
cnf(c_189280,plain,
( ~ v4_pre_topc(sK6,sK4)
| ~ sP1(sK5,sK4) ),
inference(superposition,[status(thm)],[c_51,c_189278]) ).
cnf(c_189282,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_189280,c_3362,c_50,c_55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : TOP042+1 : TPTP v8.1.2. Released v3.4.0.
% 0.12/0.14 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n015.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 21:32:51 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 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
% 185.62/25.31 % SZS status Started for theBenchmark.p
% 185.62/25.31 % SZS status Theorem for theBenchmark.p
% 185.62/25.31
% 185.62/25.31 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 185.62/25.31
% 185.62/25.31 ------ iProver source info
% 185.62/25.31
% 185.62/25.31 git: date: 2024-05-02 19:28:25 +0000
% 185.62/25.31 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 185.62/25.31 git: non_committed_changes: false
% 185.62/25.31
% 185.62/25.31 ------ Parsing...
% 185.62/25.31 ------ Clausification by vclausify_rel & Parsing by iProver...
% 185.62/25.31
% 185.62/25.31 ------ Preprocessing... sup_sim: 0 sf_s rm: 96 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: 18 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 18 0s sf_e pe_s pe_e
% 185.62/25.31
% 185.62/25.31 ------ Preprocessing... gs_s sp: 1 0s gs_e snvd_s sp: 0 0s snvd_e
% 185.62/25.31
% 185.62/25.31 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 185.62/25.31 ------ Proving...
% 185.62/25.31 ------ Problem Properties
% 185.62/25.31
% 185.62/25.31
% 185.62/25.31 clauses 115
% 185.62/25.31 conjectures 5
% 185.62/25.31 EPR 23
% 185.62/25.31 Horn 108
% 185.62/25.31 unary 42
% 185.62/25.31 binary 28
% 185.62/25.31 lits 257
% 185.62/25.31 lits eq 26
% 185.62/25.31 fd_pure 0
% 185.62/25.31 fd_pseudo 0
% 185.62/25.31 fd_cond 1
% 185.62/25.31 fd_pseudo_cond 1
% 185.62/25.31 AC symbols 0
% 185.62/25.31
% 185.62/25.31 ------ Input Options Time Limit: Unbounded
% 185.62/25.31
% 185.62/25.31
% 185.62/25.31 ------
% 185.62/25.31 Current options:
% 185.62/25.31 ------
% 185.62/25.31
% 185.62/25.31
% 185.62/25.31
% 185.62/25.31
% 185.62/25.31 ------ Proving...
% 185.62/25.31
% 185.62/25.31
% 185.62/25.31 ------ Proving...
% 185.62/25.31
% 185.62/25.31
% 185.62/25.31 ------ Proving...
% 185.62/25.31
% 185.62/25.31
% 185.62/25.31 ------ Proving...
% 185.62/25.31
% 185.62/25.31
% 185.62/25.31 % SZS status Theorem for theBenchmark.p
% 185.62/25.31
% 185.62/25.31 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 185.62/25.31
% 185.62/25.32
%------------------------------------------------------------------------------