TSTP Solution File: LAT294+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : LAT294+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n004.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 : Thu Aug 31 06:17:27 EDT 2023
% Result : Theorem 3.01s 1.15s
% Output : CNFRefutation 3.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 9
% Syntax : Number of formulae : 97 ( 43 unt; 0 def)
% Number of atoms : 833 ( 59 equ)
% Maximal formula atoms : 38 ( 8 avg)
% Number of connectives : 1192 ( 456 ~; 448 |; 254 &)
% ( 3 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 176 ( 0 sgn; 84 !; 48 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(X0))
& ~ v1_xboole_0(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X3) )
=> ! [X4] :
( ( m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X4) )
=> ! [X5] :
( ( m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X5) )
=> ( ( r6_binop_1(X0,X2,X3)
& k1_realset1(X3,X1) = X5
& k1_realset1(X2,X1) = X4 )
=> r6_binop_1(X1,X4,X5) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_filter_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(X0))
& ~ v1_xboole_0(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X3) )
=> ! [X4] :
( ( m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X4) )
=> ! [X5] :
( ( m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X5) )
=> ( ( r6_binop_1(X0,X2,X3)
& k1_realset1(X3,X1) = X5
& k1_realset1(X2,X1) = X4 )
=> r6_binop_1(X1,X4,X5) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f7,axiom,
! [X0,X1] :
( ( m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2) )
=> ( r6_binop_1(X0,X1,X2)
<=> ( r5_binop_1(X0,X1,X2)
& r4_binop_1(X0,X1,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d11_binop_1) ).
fof(f37,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(X0))
& ~ v1_xboole_0(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X3) )
=> ! [X4] :
( ( m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X4) )
=> ! [X5] :
( ( m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X5) )
=> ( ( k1_realset1(X3,X1) = X5
& k1_realset1(X2,X1) = X4 )
=> ( ( r5_binop_1(X0,X2,X3)
=> r5_binop_1(X1,X4,X5) )
& ( r4_binop_1(X0,X2,X3)
=> r4_binop_1(X1,X4,X5) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_filter_2) ).
fof(f48,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ r6_binop_1(X1,X4,X5)
& r6_binop_1(X0,X2,X3)
& k1_realset1(X3,X1) = X5
& k1_realset1(X2,X1) = X4
& m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X5) )
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X4) )
& m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X3) )
& m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2) )
& m1_subset_1(X1,k1_zfmisc_1(X0))
& ~ v1_xboole_0(X1) )
& ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f49,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ r6_binop_1(X1,X4,X5)
& r6_binop_1(X0,X2,X3)
& k1_realset1(X3,X1) = X5
& k1_realset1(X2,X1) = X4
& m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X5) )
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X4) )
& m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X3) )
& m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2) )
& m1_subset_1(X1,k1_zfmisc_1(X0))
& ~ v1_xboole_0(X1) )
& ~ v1_xboole_0(X0) ),
inference(flattening,[],[f48]) ).
fof(f55,plain,
! [X0,X1] :
( ! [X2] :
( ( r6_binop_1(X0,X1,X2)
<=> ( r5_binop_1(X0,X1,X2)
& r4_binop_1(X0,X1,X2) ) )
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2) )
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f56,plain,
! [X0,X1] :
( ! [X2] :
( ( r6_binop_1(X0,X1,X2)
<=> ( r5_binop_1(X0,X1,X2)
& r4_binop_1(X0,X1,X2) ) )
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2) )
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(flattening,[],[f55]) ).
fof(f71,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ( ( r5_binop_1(X1,X4,X5)
| ~ r5_binop_1(X0,X2,X3) )
& ( r4_binop_1(X1,X4,X5)
| ~ r4_binop_1(X0,X2,X3) ) )
| k1_realset1(X3,X1) != X5
| k1_realset1(X2,X1) != X4
| ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X5) )
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X4) )
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3) )
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2) )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f72,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ( ( r5_binop_1(X1,X4,X5)
| ~ r5_binop_1(X0,X2,X3) )
& ( r4_binop_1(X1,X4,X5)
| ~ r4_binop_1(X0,X2,X3) ) )
| k1_realset1(X3,X1) != X5
| k1_realset1(X2,X1) != X4
| ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X5) )
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X4) )
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3) )
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2) )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1) )
| v1_xboole_0(X0) ),
inference(flattening,[],[f71]) ).
fof(f80,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ r6_binop_1(X1,X4,X5)
& r6_binop_1(X0,X2,X3)
& k1_realset1(X3,X1) = X5
& k1_realset1(X2,X1) = X4
& m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X5) )
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X4) )
& m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X3) )
& m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2) )
& m1_subset_1(X1,k1_zfmisc_1(X0))
& ~ v1_xboole_0(X1) )
& ~ v1_xboole_0(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ r6_binop_1(X1,X4,X5)
& r6_binop_1(sK0,X2,X3)
& k1_realset1(X3,X1) = X5
& k1_realset1(X2,X1) = X4
& m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X5) )
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X4) )
& m2_relset_1(X3,k2_zfmisc_1(sK0,sK0),sK0)
& v1_funct_2(X3,k2_zfmisc_1(sK0,sK0),sK0)
& v1_funct_1(X3) )
& m2_relset_1(X2,k2_zfmisc_1(sK0,sK0),sK0)
& v1_funct_2(X2,k2_zfmisc_1(sK0,sK0),sK0)
& v1_funct_1(X2) )
& m1_subset_1(X1,k1_zfmisc_1(sK0))
& ~ v1_xboole_0(X1) )
& ~ v1_xboole_0(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f81,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ r6_binop_1(X1,X4,X5)
& r6_binop_1(sK0,X2,X3)
& k1_realset1(X3,X1) = X5
& k1_realset1(X2,X1) = X4
& m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X5) )
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X4) )
& m2_relset_1(X3,k2_zfmisc_1(sK0,sK0),sK0)
& v1_funct_2(X3,k2_zfmisc_1(sK0,sK0),sK0)
& v1_funct_1(X3) )
& m2_relset_1(X2,k2_zfmisc_1(sK0,sK0),sK0)
& v1_funct_2(X2,k2_zfmisc_1(sK0,sK0),sK0)
& v1_funct_1(X2) )
& m1_subset_1(X1,k1_zfmisc_1(sK0))
& ~ v1_xboole_0(X1) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ r6_binop_1(sK1,X4,X5)
& r6_binop_1(sK0,X2,X3)
& k1_realset1(X3,sK1) = X5
& k1_realset1(X2,sK1) = X4
& m2_relset_1(X5,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_2(X5,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_1(X5) )
& m2_relset_1(X4,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_2(X4,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_1(X4) )
& m2_relset_1(X3,k2_zfmisc_1(sK0,sK0),sK0)
& v1_funct_2(X3,k2_zfmisc_1(sK0,sK0),sK0)
& v1_funct_1(X3) )
& m2_relset_1(X2,k2_zfmisc_1(sK0,sK0),sK0)
& v1_funct_2(X2,k2_zfmisc_1(sK0,sK0),sK0)
& v1_funct_1(X2) )
& m1_subset_1(sK1,k1_zfmisc_1(sK0))
& ~ v1_xboole_0(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f82,plain,
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ r6_binop_1(sK1,X4,X5)
& r6_binop_1(sK0,X2,X3)
& k1_realset1(X3,sK1) = X5
& k1_realset1(X2,sK1) = X4
& m2_relset_1(X5,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_2(X5,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_1(X5) )
& m2_relset_1(X4,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_2(X4,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_1(X4) )
& m2_relset_1(X3,k2_zfmisc_1(sK0,sK0),sK0)
& v1_funct_2(X3,k2_zfmisc_1(sK0,sK0),sK0)
& v1_funct_1(X3) )
& m2_relset_1(X2,k2_zfmisc_1(sK0,sK0),sK0)
& v1_funct_2(X2,k2_zfmisc_1(sK0,sK0),sK0)
& v1_funct_1(X2) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ r6_binop_1(sK1,X4,X5)
& r6_binop_1(sK0,sK2,X3)
& k1_realset1(X3,sK1) = X5
& k1_realset1(sK2,sK1) = X4
& m2_relset_1(X5,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_2(X5,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_1(X5) )
& m2_relset_1(X4,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_2(X4,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_1(X4) )
& m2_relset_1(X3,k2_zfmisc_1(sK0,sK0),sK0)
& v1_funct_2(X3,k2_zfmisc_1(sK0,sK0),sK0)
& v1_funct_1(X3) )
& m2_relset_1(sK2,k2_zfmisc_1(sK0,sK0),sK0)
& v1_funct_2(sK2,k2_zfmisc_1(sK0,sK0),sK0)
& v1_funct_1(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f83,plain,
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ r6_binop_1(sK1,X4,X5)
& r6_binop_1(sK0,sK2,X3)
& k1_realset1(X3,sK1) = X5
& k1_realset1(sK2,sK1) = X4
& m2_relset_1(X5,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_2(X5,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_1(X5) )
& m2_relset_1(X4,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_2(X4,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_1(X4) )
& m2_relset_1(X3,k2_zfmisc_1(sK0,sK0),sK0)
& v1_funct_2(X3,k2_zfmisc_1(sK0,sK0),sK0)
& v1_funct_1(X3) )
=> ( ? [X4] :
( ? [X5] :
( ~ r6_binop_1(sK1,X4,X5)
& r6_binop_1(sK0,sK2,sK3)
& k1_realset1(sK3,sK1) = X5
& k1_realset1(sK2,sK1) = X4
& m2_relset_1(X5,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_2(X5,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_1(X5) )
& m2_relset_1(X4,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_2(X4,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_1(X4) )
& m2_relset_1(sK3,k2_zfmisc_1(sK0,sK0),sK0)
& v1_funct_2(sK3,k2_zfmisc_1(sK0,sK0),sK0)
& v1_funct_1(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f84,plain,
( ? [X4] :
( ? [X5] :
( ~ r6_binop_1(sK1,X4,X5)
& r6_binop_1(sK0,sK2,sK3)
& k1_realset1(sK3,sK1) = X5
& k1_realset1(sK2,sK1) = X4
& m2_relset_1(X5,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_2(X5,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_1(X5) )
& m2_relset_1(X4,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_2(X4,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_1(X4) )
=> ( ? [X5] :
( ~ r6_binop_1(sK1,sK4,X5)
& r6_binop_1(sK0,sK2,sK3)
& k1_realset1(sK3,sK1) = X5
& k1_realset1(sK2,sK1) = sK4
& m2_relset_1(X5,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_2(X5,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_1(X5) )
& m2_relset_1(sK4,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_2(sK4,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_1(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f85,plain,
( ? [X5] :
( ~ r6_binop_1(sK1,sK4,X5)
& r6_binop_1(sK0,sK2,sK3)
& k1_realset1(sK3,sK1) = X5
& k1_realset1(sK2,sK1) = sK4
& m2_relset_1(X5,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_2(X5,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_1(X5) )
=> ( ~ r6_binop_1(sK1,sK4,sK5)
& r6_binop_1(sK0,sK2,sK3)
& k1_realset1(sK3,sK1) = sK5
& k1_realset1(sK2,sK1) = sK4
& m2_relset_1(sK5,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_2(sK5,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_1(sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f86,plain,
( ~ r6_binop_1(sK1,sK4,sK5)
& r6_binop_1(sK0,sK2,sK3)
& k1_realset1(sK3,sK1) = sK5
& k1_realset1(sK2,sK1) = sK4
& m2_relset_1(sK5,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_2(sK5,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_1(sK5)
& m2_relset_1(sK4,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_2(sK4,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_1(sK4)
& m2_relset_1(sK3,k2_zfmisc_1(sK0,sK0),sK0)
& v1_funct_2(sK3,k2_zfmisc_1(sK0,sK0),sK0)
& v1_funct_1(sK3)
& m2_relset_1(sK2,k2_zfmisc_1(sK0,sK0),sK0)
& v1_funct_2(sK2,k2_zfmisc_1(sK0,sK0),sK0)
& v1_funct_1(sK2)
& m1_subset_1(sK1,k1_zfmisc_1(sK0))
& ~ v1_xboole_0(sK1)
& ~ v1_xboole_0(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f49,f85,f84,f83,f82,f81,f80]) ).
fof(f87,plain,
! [X0,X1] :
( ! [X2] :
( ( ( r6_binop_1(X0,X1,X2)
| ~ r5_binop_1(X0,X1,X2)
| ~ r4_binop_1(X0,X1,X2) )
& ( ( r5_binop_1(X0,X1,X2)
& r4_binop_1(X0,X1,X2) )
| ~ r6_binop_1(X0,X1,X2) ) )
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2) )
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(nnf_transformation,[],[f56]) ).
fof(f88,plain,
! [X0,X1] :
( ! [X2] :
( ( ( r6_binop_1(X0,X1,X2)
| ~ r5_binop_1(X0,X1,X2)
| ~ r4_binop_1(X0,X1,X2) )
& ( ( r5_binop_1(X0,X1,X2)
& r4_binop_1(X0,X1,X2) )
| ~ r6_binop_1(X0,X1,X2) ) )
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2) )
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(flattening,[],[f87]) ).
fof(f110,plain,
~ v1_xboole_0(sK0),
inference(cnf_transformation,[],[f86]) ).
fof(f111,plain,
~ v1_xboole_0(sK1),
inference(cnf_transformation,[],[f86]) ).
fof(f112,plain,
m1_subset_1(sK1,k1_zfmisc_1(sK0)),
inference(cnf_transformation,[],[f86]) ).
fof(f113,plain,
v1_funct_1(sK2),
inference(cnf_transformation,[],[f86]) ).
fof(f114,plain,
v1_funct_2(sK2,k2_zfmisc_1(sK0,sK0),sK0),
inference(cnf_transformation,[],[f86]) ).
fof(f115,plain,
m2_relset_1(sK2,k2_zfmisc_1(sK0,sK0),sK0),
inference(cnf_transformation,[],[f86]) ).
fof(f116,plain,
v1_funct_1(sK3),
inference(cnf_transformation,[],[f86]) ).
fof(f117,plain,
v1_funct_2(sK3,k2_zfmisc_1(sK0,sK0),sK0),
inference(cnf_transformation,[],[f86]) ).
fof(f118,plain,
m2_relset_1(sK3,k2_zfmisc_1(sK0,sK0),sK0),
inference(cnf_transformation,[],[f86]) ).
fof(f119,plain,
v1_funct_1(sK4),
inference(cnf_transformation,[],[f86]) ).
fof(f120,plain,
v1_funct_2(sK4,k2_zfmisc_1(sK1,sK1),sK1),
inference(cnf_transformation,[],[f86]) ).
fof(f121,plain,
m2_relset_1(sK4,k2_zfmisc_1(sK1,sK1),sK1),
inference(cnf_transformation,[],[f86]) ).
fof(f122,plain,
v1_funct_1(sK5),
inference(cnf_transformation,[],[f86]) ).
fof(f123,plain,
v1_funct_2(sK5,k2_zfmisc_1(sK1,sK1),sK1),
inference(cnf_transformation,[],[f86]) ).
fof(f124,plain,
m2_relset_1(sK5,k2_zfmisc_1(sK1,sK1),sK1),
inference(cnf_transformation,[],[f86]) ).
fof(f125,plain,
k1_realset1(sK2,sK1) = sK4,
inference(cnf_transformation,[],[f86]) ).
fof(f126,plain,
k1_realset1(sK3,sK1) = sK5,
inference(cnf_transformation,[],[f86]) ).
fof(f127,plain,
r6_binop_1(sK0,sK2,sK3),
inference(cnf_transformation,[],[f86]) ).
fof(f128,plain,
~ r6_binop_1(sK1,sK4,sK5),
inference(cnf_transformation,[],[f86]) ).
fof(f134,plain,
! [X2,X0,X1] :
( r4_binop_1(X0,X1,X2)
| ~ r6_binop_1(X0,X1,X2)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(cnf_transformation,[],[f88]) ).
fof(f135,plain,
! [X2,X0,X1] :
( r5_binop_1(X0,X1,X2)
| ~ r6_binop_1(X0,X1,X2)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(cnf_transformation,[],[f88]) ).
fof(f136,plain,
! [X2,X0,X1] :
( r6_binop_1(X0,X1,X2)
| ~ r5_binop_1(X0,X1,X2)
| ~ r4_binop_1(X0,X1,X2)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(cnf_transformation,[],[f88]) ).
fof(f169,plain,
! [X2,X3,X0,X1,X4,X5] :
( r4_binop_1(X1,X4,X5)
| ~ r4_binop_1(X0,X2,X3)
| k1_realset1(X3,X1) != X5
| k1_realset1(X2,X1) != X4
| ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X5)
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X4)
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f170,plain,
! [X2,X3,X0,X1,X4,X5] :
( r5_binop_1(X1,X4,X5)
| ~ r5_binop_1(X0,X2,X3)
| k1_realset1(X3,X1) != X5
| k1_realset1(X2,X1) != X4
| ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X5)
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X4)
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f177,plain,
! [X2,X3,X0,X1,X4] :
( r5_binop_1(X1,X4,k1_realset1(X3,X1))
| ~ r5_binop_1(X0,X2,X3)
| k1_realset1(X2,X1) != X4
| ~ m2_relset_1(k1_realset1(X3,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(k1_realset1(X3,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(k1_realset1(X3,X1))
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X4)
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(equality_resolution,[],[f170]) ).
fof(f178,plain,
! [X2,X3,X0,X1] :
( r5_binop_1(X1,k1_realset1(X2,X1),k1_realset1(X3,X1))
| ~ r5_binop_1(X0,X2,X3)
| ~ m2_relset_1(k1_realset1(X3,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(k1_realset1(X3,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(k1_realset1(X3,X1))
| ~ m2_relset_1(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(k1_realset1(X2,X1))
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(equality_resolution,[],[f177]) ).
fof(f179,plain,
! [X2,X3,X0,X1,X4] :
( r4_binop_1(X1,X4,k1_realset1(X3,X1))
| ~ r4_binop_1(X0,X2,X3)
| k1_realset1(X2,X1) != X4
| ~ m2_relset_1(k1_realset1(X3,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(k1_realset1(X3,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(k1_realset1(X3,X1))
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X4)
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(equality_resolution,[],[f169]) ).
fof(f180,plain,
! [X2,X3,X0,X1] :
( r4_binop_1(X1,k1_realset1(X2,X1),k1_realset1(X3,X1))
| ~ r4_binop_1(X0,X2,X3)
| ~ m2_relset_1(k1_realset1(X3,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(k1_realset1(X3,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(k1_realset1(X3,X1))
| ~ m2_relset_1(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(k1_realset1(X2,X1))
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(equality_resolution,[],[f179]) ).
cnf(c_49,negated_conjecture,
~ r6_binop_1(sK1,sK4,sK5),
inference(cnf_transformation,[],[f128]) ).
cnf(c_50,negated_conjecture,
r6_binop_1(sK0,sK2,sK3),
inference(cnf_transformation,[],[f127]) ).
cnf(c_51,negated_conjecture,
k1_realset1(sK3,sK1) = sK5,
inference(cnf_transformation,[],[f126]) ).
cnf(c_52,negated_conjecture,
k1_realset1(sK2,sK1) = sK4,
inference(cnf_transformation,[],[f125]) ).
cnf(c_53,negated_conjecture,
m2_relset_1(sK5,k2_zfmisc_1(sK1,sK1),sK1),
inference(cnf_transformation,[],[f124]) ).
cnf(c_54,negated_conjecture,
v1_funct_2(sK5,k2_zfmisc_1(sK1,sK1),sK1),
inference(cnf_transformation,[],[f123]) ).
cnf(c_55,negated_conjecture,
v1_funct_1(sK5),
inference(cnf_transformation,[],[f122]) ).
cnf(c_56,negated_conjecture,
m2_relset_1(sK4,k2_zfmisc_1(sK1,sK1),sK1),
inference(cnf_transformation,[],[f121]) ).
cnf(c_57,negated_conjecture,
v1_funct_2(sK4,k2_zfmisc_1(sK1,sK1),sK1),
inference(cnf_transformation,[],[f120]) ).
cnf(c_58,negated_conjecture,
v1_funct_1(sK4),
inference(cnf_transformation,[],[f119]) ).
cnf(c_59,negated_conjecture,
m2_relset_1(sK3,k2_zfmisc_1(sK0,sK0),sK0),
inference(cnf_transformation,[],[f118]) ).
cnf(c_60,negated_conjecture,
v1_funct_2(sK3,k2_zfmisc_1(sK0,sK0),sK0),
inference(cnf_transformation,[],[f117]) ).
cnf(c_61,negated_conjecture,
v1_funct_1(sK3),
inference(cnf_transformation,[],[f116]) ).
cnf(c_62,negated_conjecture,
m2_relset_1(sK2,k2_zfmisc_1(sK0,sK0),sK0),
inference(cnf_transformation,[],[f115]) ).
cnf(c_63,negated_conjecture,
v1_funct_2(sK2,k2_zfmisc_1(sK0,sK0),sK0),
inference(cnf_transformation,[],[f114]) ).
cnf(c_64,negated_conjecture,
v1_funct_1(sK2),
inference(cnf_transformation,[],[f113]) ).
cnf(c_65,negated_conjecture,
m1_subset_1(sK1,k1_zfmisc_1(sK0)),
inference(cnf_transformation,[],[f112]) ).
cnf(c_66,negated_conjecture,
~ v1_xboole_0(sK1),
inference(cnf_transformation,[],[f111]) ).
cnf(c_67,negated_conjecture,
~ v1_xboole_0(sK0),
inference(cnf_transformation,[],[f110]) ).
cnf(c_71,plain,
( ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ r5_binop_1(X1,X0,X2)
| ~ r4_binop_1(X1,X0,X2)
| ~ v1_funct_1(X0)
| ~ v1_funct_1(X2)
| r6_binop_1(X1,X0,X2) ),
inference(cnf_transformation,[],[f136]) ).
cnf(c_72,plain,
( ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ r6_binop_1(X1,X0,X2)
| ~ v1_funct_1(X0)
| ~ v1_funct_1(X2)
| r5_binop_1(X1,X0,X2) ),
inference(cnf_transformation,[],[f135]) ).
cnf(c_73,plain,
( ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ r6_binop_1(X1,X0,X2)
| ~ v1_funct_1(X0)
| ~ v1_funct_1(X2)
| r4_binop_1(X1,X0,X2) ),
inference(cnf_transformation,[],[f134]) ).
cnf(c_106,plain,
( ~ m2_relset_1(k1_realset1(X0,X1),k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(k1_realset1(X0,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X3,X3),X3)
| ~ m2_relset_1(X2,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(X0,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(X2,k2_zfmisc_1(X3,X3),X3)
| ~ r5_binop_1(X3,X0,X2)
| ~ v1_funct_1(k1_realset1(X0,X1))
| ~ v1_funct_1(k1_realset1(X2,X1))
| ~ m1_subset_1(X1,k1_zfmisc_1(X3))
| ~ v1_funct_1(X0)
| ~ v1_funct_1(X2)
| r5_binop_1(X1,k1_realset1(X0,X1),k1_realset1(X2,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X3) ),
inference(cnf_transformation,[],[f178]) ).
cnf(c_107,plain,
( ~ m2_relset_1(k1_realset1(X0,X1),k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(k1_realset1(X0,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X3,X3),X3)
| ~ m2_relset_1(X2,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(X0,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(X2,k2_zfmisc_1(X3,X3),X3)
| ~ r4_binop_1(X3,X0,X2)
| ~ v1_funct_1(k1_realset1(X0,X1))
| ~ v1_funct_1(k1_realset1(X2,X1))
| ~ m1_subset_1(X1,k1_zfmisc_1(X3))
| ~ v1_funct_1(X0)
| ~ v1_funct_1(X2)
| r4_binop_1(X1,k1_realset1(X0,X1),k1_realset1(X2,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X3) ),
inference(cnf_transformation,[],[f180]) ).
cnf(c_876,plain,
( X0 != sK1
| X1 != sK4
| X2 != sK5
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ r5_binop_1(X0,X1,X2)
| ~ r4_binop_1(X0,X1,X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X2) ),
inference(resolution_lifted,[status(thm)],[c_49,c_71]) ).
cnf(c_877,plain,
( ~ m2_relset_1(sK4,k2_zfmisc_1(sK1,sK1),sK1)
| ~ m2_relset_1(sK5,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(sK4,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(sK5,k2_zfmisc_1(sK1,sK1),sK1)
| ~ r5_binop_1(sK1,sK4,sK5)
| ~ r4_binop_1(sK1,sK4,sK5)
| ~ v1_funct_1(sK4)
| ~ v1_funct_1(sK5) ),
inference(unflattening,[status(thm)],[c_876]) ).
cnf(c_878,plain,
( ~ r5_binop_1(sK1,sK4,sK5)
| ~ r4_binop_1(sK1,sK4,sK5) ),
inference(global_subsumption_just,[status(thm)],[c_877,c_58,c_55,c_57,c_56,c_54,c_53,c_877]) ).
cnf(c_886,plain,
( X0 != sK0
| X1 != sK2
| X2 != sK3
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X2)
| r4_binop_1(X0,X1,X2) ),
inference(resolution_lifted,[status(thm)],[c_50,c_73]) ).
cnf(c_887,plain,
( ~ m2_relset_1(sK2,k2_zfmisc_1(sK0,sK0),sK0)
| ~ m2_relset_1(sK3,k2_zfmisc_1(sK0,sK0),sK0)
| ~ v1_funct_2(sK2,k2_zfmisc_1(sK0,sK0),sK0)
| ~ v1_funct_2(sK3,k2_zfmisc_1(sK0,sK0),sK0)
| ~ v1_funct_1(sK2)
| ~ v1_funct_1(sK3)
| r4_binop_1(sK0,sK2,sK3) ),
inference(unflattening,[status(thm)],[c_886]) ).
cnf(c_888,plain,
r4_binop_1(sK0,sK2,sK3),
inference(global_subsumption_just,[status(thm)],[c_887,c_64,c_61,c_63,c_62,c_60,c_59,c_887]) ).
cnf(c_893,plain,
( X0 != sK0
| X1 != sK2
| X2 != sK3
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X2)
| r5_binop_1(X0,X1,X2) ),
inference(resolution_lifted,[status(thm)],[c_50,c_72]) ).
cnf(c_894,plain,
( ~ m2_relset_1(sK2,k2_zfmisc_1(sK0,sK0),sK0)
| ~ m2_relset_1(sK3,k2_zfmisc_1(sK0,sK0),sK0)
| ~ v1_funct_2(sK2,k2_zfmisc_1(sK0,sK0),sK0)
| ~ v1_funct_2(sK3,k2_zfmisc_1(sK0,sK0),sK0)
| ~ v1_funct_1(sK2)
| ~ v1_funct_1(sK3)
| r5_binop_1(sK0,sK2,sK3) ),
inference(unflattening,[status(thm)],[c_893]) ).
cnf(c_895,plain,
r5_binop_1(sK0,sK2,sK3),
inference(global_subsumption_just,[status(thm)],[c_894,c_64,c_61,c_63,c_62,c_60,c_59,c_894]) ).
cnf(c_2390,plain,
( ~ m2_relset_1(k1_realset1(X0,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(k1_realset1(X0,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(k1_realset1(sK2,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(sK2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(sK2,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(sK4,k2_zfmisc_1(sK1,sK1),sK1)
| ~ r5_binop_1(X1,sK2,X0)
| ~ v1_funct_1(k1_realset1(X0,sK1))
| ~ m1_subset_1(sK1,k1_zfmisc_1(X1))
| ~ v1_funct_1(k1_realset1(sK2,sK1))
| ~ v1_funct_1(X0)
| ~ v1_funct_1(sK2)
| r5_binop_1(sK1,k1_realset1(sK2,sK1),k1_realset1(X0,sK1))
| v1_xboole_0(X1)
| v1_xboole_0(sK1) ),
inference(superposition,[status(thm)],[c_52,c_106]) ).
cnf(c_2391,plain,
( ~ m2_relset_1(k1_realset1(X0,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(k1_realset1(X0,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(sK2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(sK2,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(sK4,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(sK4,k2_zfmisc_1(sK1,sK1),sK1)
| ~ r5_binop_1(X1,sK2,X0)
| ~ v1_funct_1(k1_realset1(X0,sK1))
| ~ m1_subset_1(sK1,k1_zfmisc_1(X1))
| ~ v1_funct_1(X0)
| ~ v1_funct_1(sK4)
| ~ v1_funct_1(sK2)
| r5_binop_1(sK1,sK4,k1_realset1(X0,sK1))
| v1_xboole_0(X1)
| v1_xboole_0(sK1) ),
inference(light_normalisation,[status(thm)],[c_2390,c_52]) ).
cnf(c_2392,plain,
( ~ m2_relset_1(k1_realset1(X0,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(k1_realset1(X0,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(sK2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(sK2,k2_zfmisc_1(X1,X1),X1)
| ~ r5_binop_1(X1,sK2,X0)
| ~ v1_funct_1(k1_realset1(X0,sK1))
| ~ m1_subset_1(sK1,k1_zfmisc_1(X1))
| ~ v1_funct_1(X0)
| r5_binop_1(sK1,sK4,k1_realset1(X0,sK1))
| v1_xboole_0(X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2391,c_66,c_64,c_58,c_57,c_56]) ).
cnf(c_2456,plain,
( ~ m2_relset_1(k1_realset1(X0,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(k1_realset1(X0,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(k1_realset1(sK2,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(sK2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(sK2,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(sK4,k2_zfmisc_1(sK1,sK1),sK1)
| ~ r4_binop_1(X1,sK2,X0)
| ~ v1_funct_1(k1_realset1(X0,sK1))
| ~ m1_subset_1(sK1,k1_zfmisc_1(X1))
| ~ v1_funct_1(k1_realset1(sK2,sK1))
| ~ v1_funct_1(X0)
| ~ v1_funct_1(sK2)
| r4_binop_1(sK1,k1_realset1(sK2,sK1),k1_realset1(X0,sK1))
| v1_xboole_0(X1)
| v1_xboole_0(sK1) ),
inference(superposition,[status(thm)],[c_52,c_107]) ).
cnf(c_2457,plain,
( ~ m2_relset_1(k1_realset1(X0,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(k1_realset1(X0,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(sK2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(sK2,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(sK4,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(sK4,k2_zfmisc_1(sK1,sK1),sK1)
| ~ r4_binop_1(X1,sK2,X0)
| ~ v1_funct_1(k1_realset1(X0,sK1))
| ~ m1_subset_1(sK1,k1_zfmisc_1(X1))
| ~ v1_funct_1(X0)
| ~ v1_funct_1(sK4)
| ~ v1_funct_1(sK2)
| r4_binop_1(sK1,sK4,k1_realset1(X0,sK1))
| v1_xboole_0(X1)
| v1_xboole_0(sK1) ),
inference(light_normalisation,[status(thm)],[c_2456,c_52]) ).
cnf(c_2458,plain,
( ~ m2_relset_1(k1_realset1(X0,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(k1_realset1(X0,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(sK2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(sK2,k2_zfmisc_1(X1,X1),X1)
| ~ r4_binop_1(X1,sK2,X0)
| ~ v1_funct_1(k1_realset1(X0,sK1))
| ~ m1_subset_1(sK1,k1_zfmisc_1(X1))
| ~ v1_funct_1(X0)
| r4_binop_1(sK1,sK4,k1_realset1(X0,sK1))
| v1_xboole_0(X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2457,c_66,c_64,c_58,c_57,c_56]) ).
cnf(c_2529,plain,
( ~ v1_funct_2(k1_realset1(sK3,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ m2_relset_1(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK5,k2_zfmisc_1(sK1,sK1),sK1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| ~ r5_binop_1(X0,sK2,sK3)
| ~ v1_funct_1(k1_realset1(sK3,sK1))
| ~ v1_funct_1(sK3)
| r5_binop_1(sK1,sK4,k1_realset1(sK3,sK1))
| v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_51,c_2392]) ).
cnf(c_2539,plain,
( ~ m2_relset_1(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK5,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(sK5,k2_zfmisc_1(sK1,sK1),sK1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| ~ r5_binop_1(X0,sK2,sK3)
| ~ v1_funct_1(sK5)
| ~ v1_funct_1(sK3)
| r5_binop_1(sK1,sK4,sK5)
| v1_xboole_0(X0) ),
inference(light_normalisation,[status(thm)],[c_2529,c_51]) ).
cnf(c_2540,plain,
( ~ m2_relset_1(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| ~ r5_binop_1(X0,sK2,sK3)
| r5_binop_1(sK1,sK4,sK5)
| v1_xboole_0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2539,c_61,c_55,c_54,c_53]) ).
cnf(c_2591,plain,
( ~ m2_relset_1(sK2,k2_zfmisc_1(sK0,sK0),sK0)
| ~ v1_funct_2(sK2,k2_zfmisc_1(sK0,sK0),sK0)
| ~ v1_funct_2(sK3,k2_zfmisc_1(sK0,sK0),sK0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(sK0))
| ~ r5_binop_1(sK0,sK2,sK3)
| r5_binop_1(sK1,sK4,sK5)
| v1_xboole_0(sK0) ),
inference(superposition,[status(thm)],[c_59,c_2540]) ).
cnf(c_2592,plain,
r5_binop_1(sK1,sK4,sK5),
inference(forward_subsumption_resolution,[status(thm)],[c_2591,c_67,c_895,c_65,c_60,c_63,c_62]) ).
cnf(c_2593,plain,
~ r4_binop_1(sK1,sK4,sK5),
inference(backward_subsumption_resolution,[status(thm)],[c_878,c_2592]) ).
cnf(c_2747,plain,
( ~ v1_funct_2(k1_realset1(sK3,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ m2_relset_1(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK5,k2_zfmisc_1(sK1,sK1),sK1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| ~ r4_binop_1(X0,sK2,sK3)
| ~ v1_funct_1(k1_realset1(sK3,sK1))
| ~ v1_funct_1(sK3)
| r4_binop_1(sK1,sK4,k1_realset1(sK3,sK1))
| v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_51,c_2458]) ).
cnf(c_2757,plain,
( ~ m2_relset_1(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK5,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(sK5,k2_zfmisc_1(sK1,sK1),sK1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| ~ r4_binop_1(X0,sK2,sK3)
| ~ v1_funct_1(sK5)
| ~ v1_funct_1(sK3)
| r4_binop_1(sK1,sK4,sK5)
| v1_xboole_0(X0) ),
inference(light_normalisation,[status(thm)],[c_2747,c_51]) ).
cnf(c_2758,plain,
( ~ m2_relset_1(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK3,k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| ~ r4_binop_1(X0,sK2,sK3)
| v1_xboole_0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2757,c_2593,c_61,c_55,c_54,c_53]) ).
cnf(c_2810,plain,
( ~ m2_relset_1(sK2,k2_zfmisc_1(sK0,sK0),sK0)
| ~ v1_funct_2(sK2,k2_zfmisc_1(sK0,sK0),sK0)
| ~ v1_funct_2(sK3,k2_zfmisc_1(sK0,sK0),sK0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(sK0))
| ~ r4_binop_1(sK0,sK2,sK3)
| v1_xboole_0(sK0) ),
inference(superposition,[status(thm)],[c_59,c_2758]) ).
cnf(c_2811,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_2810,c_67,c_888,c_65,c_60,c_63,c_62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT294+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n004.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu Aug 24 05:54:38 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.46 Running first-order theorem proving
% 0.20/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.01/1.15 % SZS status Started for theBenchmark.p
% 3.01/1.15 % SZS status Theorem for theBenchmark.p
% 3.01/1.15
% 3.01/1.15 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.01/1.15
% 3.01/1.15 ------ iProver source info
% 3.01/1.15
% 3.01/1.15 git: date: 2023-05-31 18:12:56 +0000
% 3.01/1.15 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.01/1.15 git: non_committed_changes: false
% 3.01/1.15 git: last_make_outside_of_git: false
% 3.01/1.15
% 3.01/1.15 ------ Parsing...
% 3.01/1.15 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.01/1.15
% 3.01/1.15 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e
% 3.01/1.15
% 3.01/1.15 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.01/1.15
% 3.01/1.15 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.01/1.15 ------ Proving...
% 3.01/1.15 ------ Problem Properties
% 3.01/1.15
% 3.01/1.15
% 3.01/1.15 clauses 60
% 3.01/1.15 conjectures 17
% 3.01/1.15 EPR 27
% 3.01/1.15 Horn 55
% 3.01/1.15 unary 37
% 3.01/1.15 binary 13
% 3.01/1.15 lits 121
% 3.01/1.15 lits eq 8
% 3.01/1.15 fd_pure 0
% 3.01/1.15 fd_pseudo 0
% 3.01/1.15 fd_cond 1
% 3.01/1.15 fd_pseudo_cond 1
% 3.01/1.15 AC symbols 0
% 3.01/1.15
% 3.01/1.15 ------ Schedule dynamic 5 is on
% 3.01/1.15
% 3.01/1.15 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.01/1.15
% 3.01/1.15
% 3.01/1.15 ------
% 3.01/1.15 Current options:
% 3.01/1.15 ------
% 3.01/1.15
% 3.01/1.15
% 3.01/1.15
% 3.01/1.15
% 3.01/1.15 ------ Proving...
% 3.01/1.15
% 3.01/1.15
% 3.01/1.15 % SZS status Theorem for theBenchmark.p
% 3.01/1.15
% 3.01/1.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.01/1.16
% 3.01/1.16
%------------------------------------------------------------------------------