TSTP Solution File: SEU425+1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SEU425+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n026.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 17:07:12 EDT 2023
% Result : Theorem 7.39s 1.68s
% Output : CNFRefutation 7.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 14
% Syntax : Number of formulae : 93 ( 19 unt; 0 def)
% Number of atoms : 308 ( 97 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 370 ( 155 ~; 148 |; 40 &)
% ( 10 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-3 aty)
% Number of variables : 175 ( 9 sgn; 119 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> ( m2_relset_1(k5_relset_2(X0,X2),k1_zfmisc_1(X0),k1_zfmisc_1(k2_relat_1(X2)))
& v1_funct_2(k5_relset_2(X0,X2),k1_zfmisc_1(X0),k1_zfmisc_1(k2_relat_1(X2)))
& v1_funct_1(k5_relset_2(X0,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_relset_2) ).
fof(f2,negated_conjecture,
~ ! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> ( m2_relset_1(k5_relset_2(X0,X2),k1_zfmisc_1(X0),k1_zfmisc_1(k2_relat_1(X2)))
& v1_funct_2(k5_relset_2(X0,X2),k1_zfmisc_1(X0),k1_zfmisc_1(k2_relat_1(X2)))
& v1_funct_1(k5_relset_2(X0,X2)) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f5,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> v1_relat_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f6,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> ( ( k1_xboole_0 = X1
=> ( ( v1_funct_2(X2,X0,X1)
<=> k1_xboole_0 = X2 )
| k1_xboole_0 = X0 ) )
& ( ( k1_xboole_0 = X1
=> k1_xboole_0 = X0 )
=> ( v1_funct_2(X2,X0,X1)
<=> k4_relset_1(X0,X1,X2) = X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_funct_2) ).
fof(f7,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_relat_1(X2) )
=> ( k5_relset_2(X0,X1) = X2
<=> ( ! [X3] :
( r1_tarski(X3,X0)
=> k1_funct_1(X2,X3) = k9_relat_1(X1,X3) )
& k1_zfmisc_1(X0) = k1_relat_1(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_relset_2) ).
fof(f15,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> ( v1_funct_1(k5_relset_2(X0,X1))
& v1_relat_1(k5_relset_2(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_relset_2) ).
fof(f24,axiom,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_subset_1) ).
fof(f26,axiom,
( v1_relat_1(k1_xboole_0)
& v1_xboole_0(k1_xboole_0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_relat_1) ).
fof(f38,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> k4_relset_1(X0,X1,X2) = k1_relat_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k4_relset_1) ).
fof(f39,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(f40,axiom,
! [X0,X1] : r1_tarski(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f41,axiom,
! [X0,X1,X2] :
( v1_relat_1(X2)
=> ( ( r1_tarski(k2_relat_1(X2),X1)
& r1_tarski(k1_relat_1(X2),X0) )
=> m2_relset_1(X2,X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_relset_1) ).
fof(f43,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> r1_tarski(k2_relat_1(k5_relset_2(X0,X2)),k1_zfmisc_1(k2_relat_1(X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t20_relset_2) ).
fof(f51,plain,
! [X0] : r1_tarski(X0,X0),
inference(rectify,[],[f40]) ).
fof(f54,plain,
? [X0,X1,X2] :
( ( ~ m2_relset_1(k5_relset_2(X0,X2),k1_zfmisc_1(X0),k1_zfmisc_1(k2_relat_1(X2)))
| ~ v1_funct_2(k5_relset_2(X0,X2),k1_zfmisc_1(X0),k1_zfmisc_1(k2_relat_1(X2)))
| ~ v1_funct_1(k5_relset_2(X0,X2)) )
& m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f2]) ).
fof(f57,plain,
! [X0,X1,X2] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f5]) ).
fof(f58,plain,
! [X0,X1,X2] :
( ( ( ( v1_funct_2(X2,X0,X1)
<=> k1_xboole_0 = X2 )
| k1_xboole_0 = X0
| k1_xboole_0 != X1 )
& ( ( v1_funct_2(X2,X0,X1)
<=> k4_relset_1(X0,X1,X2) = X0 )
| ( k1_xboole_0 != X0
& k1_xboole_0 = X1 ) ) )
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f59,plain,
! [X0,X1,X2] :
( ( ( ( v1_funct_2(X2,X0,X1)
<=> k1_xboole_0 = X2 )
| k1_xboole_0 = X0
| k1_xboole_0 != X1 )
& ( ( v1_funct_2(X2,X0,X1)
<=> k4_relset_1(X0,X1,X2) = X0 )
| ( k1_xboole_0 != X0
& k1_xboole_0 = X1 ) ) )
| ~ m2_relset_1(X2,X0,X1) ),
inference(flattening,[],[f58]) ).
fof(f60,plain,
! [X0,X1] :
( ! [X2] :
( ( k5_relset_2(X0,X1) = X2
<=> ( ! [X3] :
( k1_funct_1(X2,X3) = k9_relat_1(X1,X3)
| ~ r1_tarski(X3,X0) )
& k1_zfmisc_1(X0) = k1_relat_1(X2) ) )
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2) )
| ~ v1_relat_1(X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f61,plain,
! [X0,X1] :
( ! [X2] :
( ( k5_relset_2(X0,X1) = X2
<=> ( ! [X3] :
( k1_funct_1(X2,X3) = k9_relat_1(X1,X3)
| ~ r1_tarski(X3,X0) )
& k1_zfmisc_1(X0) = k1_relat_1(X2) ) )
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2) )
| ~ v1_relat_1(X1) ),
inference(flattening,[],[f60]) ).
fof(f63,plain,
! [X0,X1] :
( ( v1_funct_1(k5_relset_2(X0,X1))
& v1_relat_1(k5_relset_2(X0,X1)) )
| ~ v1_relat_1(X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f74,plain,
! [X0,X1,X2] :
( k4_relset_1(X0,X1,X2) = k1_relat_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f75,plain,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
| ~ r1_tarski(k2_relat_1(X2),X1)
| ~ r1_tarski(k1_relat_1(X2),X0)
| ~ v1_relat_1(X2) ),
inference(ennf_transformation,[],[f41]) ).
fof(f76,plain,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
| ~ r1_tarski(k2_relat_1(X2),X1)
| ~ r1_tarski(k1_relat_1(X2),X0)
| ~ v1_relat_1(X2) ),
inference(flattening,[],[f75]) ).
fof(f78,plain,
! [X0,X1,X2] :
( r1_tarski(k2_relat_1(k5_relset_2(X0,X2)),k1_zfmisc_1(k2_relat_1(X2)))
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f43]) ).
fof(f87,plain,
( ? [X0,X1,X2] :
( ( ~ m2_relset_1(k5_relset_2(X0,X2),k1_zfmisc_1(X0),k1_zfmisc_1(k2_relat_1(X2)))
| ~ v1_funct_2(k5_relset_2(X0,X2),k1_zfmisc_1(X0),k1_zfmisc_1(k2_relat_1(X2)))
| ~ v1_funct_1(k5_relset_2(X0,X2)) )
& m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
=> ( ( ~ m2_relset_1(k5_relset_2(sK0,sK2),k1_zfmisc_1(sK0),k1_zfmisc_1(k2_relat_1(sK2)))
| ~ v1_funct_2(k5_relset_2(sK0,sK2),k1_zfmisc_1(sK0),k1_zfmisc_1(k2_relat_1(sK2)))
| ~ v1_funct_1(k5_relset_2(sK0,sK2)) )
& m1_subset_1(sK2,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))) ) ),
introduced(choice_axiom,[]) ).
fof(f88,plain,
( ( ~ m2_relset_1(k5_relset_2(sK0,sK2),k1_zfmisc_1(sK0),k1_zfmisc_1(k2_relat_1(sK2)))
| ~ v1_funct_2(k5_relset_2(sK0,sK2),k1_zfmisc_1(sK0),k1_zfmisc_1(k2_relat_1(sK2)))
| ~ v1_funct_1(k5_relset_2(sK0,sK2)) )
& m1_subset_1(sK2,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f54,f87]) ).
fof(f89,plain,
! [X0,X1,X2] :
( ( ( ( ( v1_funct_2(X2,X0,X1)
| k1_xboole_0 != X2 )
& ( k1_xboole_0 = X2
| ~ v1_funct_2(X2,X0,X1) ) )
| k1_xboole_0 = X0
| k1_xboole_0 != X1 )
& ( ( ( v1_funct_2(X2,X0,X1)
| k4_relset_1(X0,X1,X2) != X0 )
& ( k4_relset_1(X0,X1,X2) = X0
| ~ v1_funct_2(X2,X0,X1) ) )
| ( k1_xboole_0 != X0
& k1_xboole_0 = X1 ) ) )
| ~ m2_relset_1(X2,X0,X1) ),
inference(nnf_transformation,[],[f59]) ).
fof(f90,plain,
! [X0,X1] :
( ! [X2] :
( ( ( k5_relset_2(X0,X1) = X2
| ? [X3] :
( k1_funct_1(X2,X3) != k9_relat_1(X1,X3)
& r1_tarski(X3,X0) )
| k1_zfmisc_1(X0) != k1_relat_1(X2) )
& ( ( ! [X3] :
( k1_funct_1(X2,X3) = k9_relat_1(X1,X3)
| ~ r1_tarski(X3,X0) )
& k1_zfmisc_1(X0) = k1_relat_1(X2) )
| k5_relset_2(X0,X1) != X2 ) )
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2) )
| ~ v1_relat_1(X1) ),
inference(nnf_transformation,[],[f61]) ).
fof(f91,plain,
! [X0,X1] :
( ! [X2] :
( ( ( k5_relset_2(X0,X1) = X2
| ? [X3] :
( k1_funct_1(X2,X3) != k9_relat_1(X1,X3)
& r1_tarski(X3,X0) )
| k1_zfmisc_1(X0) != k1_relat_1(X2) )
& ( ( ! [X3] :
( k1_funct_1(X2,X3) = k9_relat_1(X1,X3)
| ~ r1_tarski(X3,X0) )
& k1_zfmisc_1(X0) = k1_relat_1(X2) )
| k5_relset_2(X0,X1) != X2 ) )
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2) )
| ~ v1_relat_1(X1) ),
inference(flattening,[],[f90]) ).
fof(f92,plain,
! [X0,X1] :
( ! [X2] :
( ( ( k5_relset_2(X0,X1) = X2
| ? [X3] :
( k1_funct_1(X2,X3) != k9_relat_1(X1,X3)
& r1_tarski(X3,X0) )
| k1_zfmisc_1(X0) != k1_relat_1(X2) )
& ( ( ! [X4] :
( k1_funct_1(X2,X4) = k9_relat_1(X1,X4)
| ~ r1_tarski(X4,X0) )
& k1_zfmisc_1(X0) = k1_relat_1(X2) )
| k5_relset_2(X0,X1) != X2 ) )
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2) )
| ~ v1_relat_1(X1) ),
inference(rectify,[],[f91]) ).
fof(f93,plain,
! [X0,X1,X2] :
( ? [X3] :
( k1_funct_1(X2,X3) != k9_relat_1(X1,X3)
& r1_tarski(X3,X0) )
=> ( k1_funct_1(X2,sK3(X0,X1,X2)) != k9_relat_1(X1,sK3(X0,X1,X2))
& r1_tarski(sK3(X0,X1,X2),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f94,plain,
! [X0,X1] :
( ! [X2] :
( ( ( k5_relset_2(X0,X1) = X2
| ( k1_funct_1(X2,sK3(X0,X1,X2)) != k9_relat_1(X1,sK3(X0,X1,X2))
& r1_tarski(sK3(X0,X1,X2),X0) )
| k1_zfmisc_1(X0) != k1_relat_1(X2) )
& ( ( ! [X4] :
( k1_funct_1(X2,X4) = k9_relat_1(X1,X4)
| ~ r1_tarski(X4,X0) )
& k1_zfmisc_1(X0) = k1_relat_1(X2) )
| k5_relset_2(X0,X1) != X2 ) )
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2) )
| ~ v1_relat_1(X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f92,f93]) ).
fof(f113,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,[],[f39]) ).
fof(f115,plain,
m1_subset_1(sK2,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))),
inference(cnf_transformation,[],[f88]) ).
fof(f116,plain,
( ~ m2_relset_1(k5_relset_2(sK0,sK2),k1_zfmisc_1(sK0),k1_zfmisc_1(k2_relat_1(sK2)))
| ~ v1_funct_2(k5_relset_2(sK0,sK2),k1_zfmisc_1(sK0),k1_zfmisc_1(k2_relat_1(sK2)))
| ~ v1_funct_1(k5_relset_2(sK0,sK2)) ),
inference(cnf_transformation,[],[f88]) ).
fof(f119,plain,
! [X2,X0,X1] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(cnf_transformation,[],[f57]) ).
fof(f122,plain,
! [X2,X0,X1] :
( v1_funct_2(X2,X0,X1)
| k4_relset_1(X0,X1,X2) != X0
| k1_xboole_0 = X1
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f89]) ).
fof(f126,plain,
! [X2,X0,X1] :
( k1_zfmisc_1(X0) = k1_relat_1(X2)
| k5_relset_2(X0,X1) != X2
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1) ),
inference(cnf_transformation,[],[f94]) ).
fof(f131,plain,
! [X0,X1] :
( v1_relat_1(k5_relset_2(X0,X1))
| ~ v1_relat_1(X1) ),
inference(cnf_transformation,[],[f63]) ).
fof(f132,plain,
! [X0,X1] :
( v1_funct_1(k5_relset_2(X0,X1))
| ~ v1_relat_1(X1) ),
inference(cnf_transformation,[],[f63]) ).
fof(f139,plain,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f24]) ).
fof(f141,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f26]) ).
fof(f162,plain,
! [X2,X0,X1] :
( k4_relset_1(X0,X1,X2) = k1_relat_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f74]) ).
fof(f163,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f113]) ).
fof(f165,plain,
! [X0] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f51]) ).
fof(f166,plain,
! [X2,X0,X1] :
( m2_relset_1(X2,X0,X1)
| ~ r1_tarski(k2_relat_1(X2),X1)
| ~ r1_tarski(k1_relat_1(X2),X0)
| ~ v1_relat_1(X2) ),
inference(cnf_transformation,[],[f76]) ).
fof(f168,plain,
! [X2,X0,X1] :
( r1_tarski(k2_relat_1(k5_relset_2(X0,X2)),k1_zfmisc_1(k2_relat_1(X2)))
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(cnf_transformation,[],[f78]) ).
fof(f183,plain,
! [X0,X1] :
( k1_zfmisc_1(X0) = k1_relat_1(k5_relset_2(X0,X1))
| ~ v1_funct_1(k5_relset_2(X0,X1))
| ~ v1_relat_1(k5_relset_2(X0,X1))
| ~ v1_relat_1(X1) ),
inference(equality_resolution,[],[f126]) ).
cnf(c_49,negated_conjecture,
( ~ m2_relset_1(k5_relset_2(sK0,sK2),k1_zfmisc_1(sK0),k1_zfmisc_1(k2_relat_1(sK2)))
| ~ v1_funct_2(k5_relset_2(sK0,sK2),k1_zfmisc_1(sK0),k1_zfmisc_1(k2_relat_1(sK2)))
| ~ v1_funct_1(k5_relset_2(sK0,sK2)) ),
inference(cnf_transformation,[],[f116]) ).
cnf(c_50,negated_conjecture,
m1_subset_1(sK2,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))),
inference(cnf_transformation,[],[f115]) ).
cnf(c_53,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| v1_relat_1(X0) ),
inference(cnf_transformation,[],[f119]) ).
cnf(c_57,plain,
( k4_relset_1(X0,X1,X2) != X0
| ~ m2_relset_1(X2,X0,X1)
| X1 = k1_xboole_0
| v1_funct_2(X2,X0,X1) ),
inference(cnf_transformation,[],[f122]) ).
cnf(c_63,plain,
( ~ v1_funct_1(k5_relset_2(X0,X1))
| ~ v1_relat_1(k5_relset_2(X0,X1))
| ~ v1_relat_1(X1)
| k1_relat_1(k5_relset_2(X0,X1)) = k1_zfmisc_1(X0) ),
inference(cnf_transformation,[],[f183]) ).
cnf(c_65,plain,
( ~ v1_relat_1(X0)
| v1_funct_1(k5_relset_2(X1,X0)) ),
inference(cnf_transformation,[],[f132]) ).
cnf(c_66,plain,
( ~ v1_relat_1(X0)
| v1_relat_1(k5_relset_2(X1,X0)) ),
inference(cnf_transformation,[],[f131]) ).
cnf(c_73,plain,
~ v1_xboole_0(k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f139]) ).
cnf(c_76,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f141]) ).
cnf(c_96,plain,
( ~ m1_relset_1(X0,X1,X2)
| k4_relset_1(X1,X2,X0) = k1_relat_1(X0) ),
inference(cnf_transformation,[],[f162]) ).
cnf(c_98,plain,
( ~ m2_relset_1(X0,X1,X2)
| m1_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f163]) ).
cnf(c_99,plain,
r1_tarski(X0,X0),
inference(cnf_transformation,[],[f165]) ).
cnf(c_100,plain,
( ~ r1_tarski(k2_relat_1(X0),X1)
| ~ r1_tarski(k1_relat_1(X0),X2)
| ~ v1_relat_1(X0)
| m2_relset_1(X0,X2,X1) ),
inference(cnf_transformation,[],[f166]) ).
cnf(c_102,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| r1_tarski(k2_relat_1(k5_relset_2(X1,X0)),k1_zfmisc_1(k2_relat_1(X0))) ),
inference(cnf_transformation,[],[f168]) ).
cnf(c_182,plain,
( ~ v1_relat_1(X0)
| v1_funct_1(k5_relset_2(X1,X0)) ),
inference(prop_impl_just,[status(thm)],[c_65]) ).
cnf(c_184,plain,
( ~ v1_relat_1(X0)
| v1_relat_1(k5_relset_2(X1,X0)) ),
inference(prop_impl_just,[status(thm)],[c_66]) ).
cnf(c_416,plain,
( ~ v1_relat_1(k5_relset_2(X0,X1))
| ~ v1_relat_1(X1)
| k1_relat_1(k5_relset_2(X0,X1)) = k1_zfmisc_1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_63,c_182]) ).
cnf(c_424,plain,
( ~ v1_relat_1(X0)
| k1_relat_1(k5_relset_2(X1,X0)) = k1_zfmisc_1(X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_416,c_184]) ).
cnf(c_924,plain,
( k4_relset_1(X0,X1,X2) != X0
| k5_relset_2(sK0,sK2) != X2
| k1_zfmisc_1(k2_relat_1(sK2)) != X1
| k1_zfmisc_1(sK0) != X0
| ~ m2_relset_1(k5_relset_2(sK0,sK2),k1_zfmisc_1(sK0),k1_zfmisc_1(k2_relat_1(sK2)))
| ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_1(k5_relset_2(sK0,sK2))
| X1 = k1_xboole_0 ),
inference(resolution_lifted,[status(thm)],[c_49,c_57]) ).
cnf(c_925,plain,
( k4_relset_1(k1_zfmisc_1(sK0),k1_zfmisc_1(k2_relat_1(sK2)),k5_relset_2(sK0,sK2)) != k1_zfmisc_1(sK0)
| ~ m2_relset_1(k5_relset_2(sK0,sK2),k1_zfmisc_1(sK0),k1_zfmisc_1(k2_relat_1(sK2)))
| ~ v1_funct_1(k5_relset_2(sK0,sK2))
| k1_zfmisc_1(k2_relat_1(sK2)) = k1_xboole_0 ),
inference(unflattening,[status(thm)],[c_924]) ).
cnf(c_1758,plain,
( ~ v1_relat_1(X0)
| k1_relat_1(k5_relset_2(X1,X0)) = k1_zfmisc_1(X1) ),
inference(prop_impl_just,[status(thm)],[c_424]) ).
cnf(c_4134,plain,
( ~ v1_relat_1(sK2)
| v1_funct_1(k5_relset_2(sK0,sK2)) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_4148,plain,
( ~ m1_subset_1(sK2,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| r1_tarski(k2_relat_1(k5_relset_2(sK0,sK2)),k1_zfmisc_1(k2_relat_1(sK2))) ),
inference(instantiation,[status(thm)],[c_102]) ).
cnf(c_4242,plain,
v1_relat_1(sK2),
inference(superposition,[status(thm)],[c_50,c_53]) ).
cnf(c_4382,plain,
( ~ r1_tarski(k2_relat_1(k5_relset_2(sK0,sK2)),k1_zfmisc_1(k2_relat_1(sK2)))
| ~ r1_tarski(k1_relat_1(k5_relset_2(sK0,sK2)),X0)
| ~ v1_relat_1(k5_relset_2(sK0,sK2))
| m2_relset_1(k5_relset_2(sK0,sK2),X0,k1_zfmisc_1(k2_relat_1(sK2))) ),
inference(instantiation,[status(thm)],[c_100]) ).
cnf(c_5200,plain,
( ~ v1_relat_1(sK2)
| v1_relat_1(k5_relset_2(sK0,sK2)) ),
inference(instantiation,[status(thm)],[c_66]) ).
cnf(c_8482,plain,
( ~ m2_relset_1(k5_relset_2(sK0,sK2),k1_zfmisc_1(sK0),k1_zfmisc_1(k2_relat_1(sK2)))
| k4_relset_1(k1_zfmisc_1(sK0),k1_zfmisc_1(k2_relat_1(sK2)),k5_relset_2(sK0,sK2)) != k1_zfmisc_1(sK0)
| k1_zfmisc_1(k2_relat_1(sK2)) = k1_xboole_0 ),
inference(global_subsumption_just,[status(thm)],[c_925,c_925,c_4134,c_4242]) ).
cnf(c_8483,plain,
( k4_relset_1(k1_zfmisc_1(sK0),k1_zfmisc_1(k2_relat_1(sK2)),k5_relset_2(sK0,sK2)) != k1_zfmisc_1(sK0)
| ~ m2_relset_1(k5_relset_2(sK0,sK2),k1_zfmisc_1(sK0),k1_zfmisc_1(k2_relat_1(sK2)))
| k1_zfmisc_1(k2_relat_1(sK2)) = k1_xboole_0 ),
inference(renaming,[status(thm)],[c_8482]) ).
cnf(c_8509,plain,
v1_relat_1(sK2),
inference(superposition,[status(thm)],[c_50,c_53]) ).
cnf(c_8606,plain,
k1_relat_1(k5_relset_2(X0,sK2)) = k1_zfmisc_1(X0),
inference(superposition,[status(thm)],[c_8509,c_1758]) ).
cnf(c_8655,plain,
r1_tarski(k2_relat_1(k5_relset_2(sK0,sK2)),k1_zfmisc_1(k2_relat_1(sK2))),
inference(superposition,[status(thm)],[c_50,c_102]) ).
cnf(c_8694,plain,
( ~ r1_tarski(k1_relat_1(k5_relset_2(sK0,sK2)),X0)
| ~ v1_relat_1(k5_relset_2(sK0,sK2))
| m2_relset_1(k5_relset_2(sK0,sK2),X0,k1_zfmisc_1(k2_relat_1(sK2))) ),
inference(superposition,[status(thm)],[c_8655,c_100]) ).
cnf(c_8711,plain,
( ~ r1_tarski(k1_relat_1(k5_relset_2(sK0,sK2)),X0)
| m2_relset_1(k5_relset_2(sK0,sK2),X0,k1_zfmisc_1(k2_relat_1(sK2))) ),
inference(global_subsumption_just,[status(thm)],[c_8694,c_50,c_4148,c_4242,c_4382,c_5200]) ).
cnf(c_8713,plain,
( ~ r1_tarski(k1_relat_1(k5_relset_2(sK0,sK2)),X0)
| m1_relset_1(k5_relset_2(sK0,sK2),X0,k1_zfmisc_1(k2_relat_1(sK2))) ),
inference(superposition,[status(thm)],[c_8711,c_98]) ).
cnf(c_8777,plain,
( ~ r1_tarski(k1_relat_1(k5_relset_2(sK0,sK2)),X0)
| k4_relset_1(X0,k1_zfmisc_1(k2_relat_1(sK2)),k5_relset_2(sK0,sK2)) = k1_relat_1(k5_relset_2(sK0,sK2)) ),
inference(superposition,[status(thm)],[c_8713,c_96]) ).
cnf(c_9498,plain,
( ~ r1_tarski(k1_zfmisc_1(sK0),X0)
| k4_relset_1(X0,k1_zfmisc_1(k2_relat_1(sK2)),k5_relset_2(sK0,sK2)) = k1_relat_1(k5_relset_2(sK0,sK2)) ),
inference(superposition,[status(thm)],[c_8606,c_8777]) ).
cnf(c_9507,plain,
k4_relset_1(k1_zfmisc_1(sK0),k1_zfmisc_1(k2_relat_1(sK2)),k5_relset_2(sK0,sK2)) = k1_relat_1(k5_relset_2(sK0,sK2)),
inference(superposition,[status(thm)],[c_99,c_9498]) ).
cnf(c_9509,plain,
( k1_relat_1(k5_relset_2(sK0,sK2)) != k1_zfmisc_1(sK0)
| ~ m2_relset_1(k5_relset_2(sK0,sK2),k1_zfmisc_1(sK0),k1_zfmisc_1(k2_relat_1(sK2)))
| k1_zfmisc_1(k2_relat_1(sK2)) = k1_xboole_0 ),
inference(superposition,[status(thm)],[c_9507,c_8483]) ).
cnf(c_9515,plain,
( ~ m2_relset_1(k5_relset_2(sK0,sK2),k1_zfmisc_1(sK0),k1_zfmisc_1(k2_relat_1(sK2)))
| k1_zfmisc_1(k2_relat_1(sK2)) = k1_xboole_0 ),
inference(superposition,[status(thm)],[c_8606,c_9509]) ).
cnf(c_9521,plain,
( ~ r1_tarski(k1_relat_1(k5_relset_2(sK0,sK2)),k1_zfmisc_1(sK0))
| k1_zfmisc_1(k2_relat_1(sK2)) = k1_xboole_0 ),
inference(superposition,[status(thm)],[c_8711,c_9515]) ).
cnf(c_10110,plain,
( ~ r1_tarski(k1_zfmisc_1(sK0),k1_zfmisc_1(sK0))
| k1_zfmisc_1(k2_relat_1(sK2)) = k1_xboole_0 ),
inference(superposition,[status(thm)],[c_8606,c_9521]) ).
cnf(c_10128,plain,
k1_zfmisc_1(k2_relat_1(sK2)) = k1_xboole_0,
inference(superposition,[status(thm)],[c_99,c_10110]) ).
cnf(c_10185,plain,
~ v1_xboole_0(k1_xboole_0),
inference(superposition,[status(thm)],[c_10128,c_73]) ).
cnf(c_10186,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_10185,c_76]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU425+1 : TPTP v8.1.2. Released v3.4.0.
% 0.12/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Aug 23 18:20:46 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 7.39/1.68 % SZS status Started for theBenchmark.p
% 7.39/1.68 % SZS status Theorem for theBenchmark.p
% 7.39/1.68
% 7.39/1.68 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 7.39/1.68
% 7.39/1.68 ------ iProver source info
% 7.39/1.68
% 7.39/1.68 git: date: 2023-05-31 18:12:56 +0000
% 7.39/1.68 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 7.39/1.68 git: non_committed_changes: false
% 7.39/1.68 git: last_make_outside_of_git: false
% 7.39/1.68
% 7.39/1.68 ------ Parsing...
% 7.39/1.68 ------ Clausification by vclausify_rel & Parsing by iProver...
% 7.39/1.68
% 7.39/1.68 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e
% 7.39/1.68
% 7.39/1.68 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.39/1.68
% 7.39/1.68 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 7.39/1.68 ------ Proving...
% 7.39/1.68 ------ Problem Properties
% 7.39/1.68
% 7.39/1.68
% 7.39/1.68 clauses 56
% 7.39/1.68 conjectures 1
% 7.39/1.68 EPR 19
% 7.39/1.68 Horn 52
% 7.39/1.68 unary 19
% 7.39/1.68 binary 23
% 7.39/1.68 lits 120
% 7.39/1.68 lits eq 17
% 7.39/1.68 fd_pure 0
% 7.39/1.68 fd_pseudo 0
% 7.39/1.68 fd_cond 1
% 7.39/1.68 fd_pseudo_cond 3
% 7.39/1.68 AC symbols 0
% 7.39/1.68
% 7.39/1.68 ------ Input Options Time Limit: Unbounded
% 7.39/1.68
% 7.39/1.68
% 7.39/1.68 ------
% 7.39/1.68 Current options:
% 7.39/1.68 ------
% 7.39/1.68
% 7.39/1.68
% 7.39/1.68
% 7.39/1.68
% 7.39/1.68 ------ Proving...
% 7.39/1.68
% 7.39/1.68
% 7.39/1.68 % SZS status Theorem for theBenchmark.p
% 7.39/1.68
% 7.39/1.68 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.39/1.68
% 7.39/1.69
%------------------------------------------------------------------------------