TSTP Solution File: SEU449+1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SEU449+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n021.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 17:07:29 EDT 2023
% Result : Theorem 3.83s 1.17s
% Output : CNFRefutation 3.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 11
% Syntax : Number of formulae : 80 ( 18 unt; 0 def)
% Number of atoms : 220 ( 8 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 260 ( 120 ~; 98 |; 23 &)
% ( 3 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-4 aty)
% Number of variables : 170 ( 1 sgn; 94 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ! [X4] :
( m2_relset_1(X4,X0,X1)
=> ( r1_tarski(X3,k8_relset_2(X0,X1,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)),X4))
& r1_tarski(X2,k8_relset_2(X1,X0,k8_relset_2(X0,X1,X2,X4),k6_relset_1(X0,X1,X4))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t63_relset_2) ).
fof(f2,negated_conjecture,
~ ! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ! [X4] :
( m2_relset_1(X4,X0,X1)
=> ( r1_tarski(X3,k8_relset_2(X0,X1,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)),X4))
& r1_tarski(X2,k8_relset_2(X1,X0,k8_relset_2(X0,X1,X2,X4),k6_relset_1(X0,X1,X4))) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f43,axiom,
! [X0,X1] : r1_tarski(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f46,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> k6_relset_1(X0,X1,X2) = k4_relat_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k6_relset_1) ).
fof(f48,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(f50,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_relset_1) ).
fof(f51,axiom,
! [X0,X1,X2,X3] :
( ( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
& m1_subset_1(X2,k1_zfmisc_1(X0)) )
=> m1_subset_1(k8_relset_2(X0,X1,X2,X3),k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_relset_2) ).
fof(f53,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f56,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ! [X4] :
( m2_relset_1(X4,X0,X1)
=> ( r1_tarski(X2,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)))
<=> r1_tarski(X3,k8_relset_2(X0,X1,X2,X4)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t61_relset_2) ).
fof(f57,plain,
! [X0] : r1_tarski(X0,X0),
inference(rectify,[],[f43]) ).
fof(f64,plain,
? [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( ( ~ r1_tarski(X3,k8_relset_2(X0,X1,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)),X4))
| ~ r1_tarski(X2,k8_relset_2(X1,X0,k8_relset_2(X0,X1,X2,X4),k6_relset_1(X0,X1,X4))) )
& m2_relset_1(X4,X0,X1) )
& m1_subset_1(X3,k1_zfmisc_1(X1)) )
& m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f2]) ).
fof(f92,plain,
! [X0,X1,X2] :
( k6_relset_1(X0,X1,X2) = k4_relat_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f46]) ).
fof(f95,plain,
! [X0,X1,X2] :
( m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f50]) ).
fof(f96,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k8_relset_2(X0,X1,X2,X3),k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f51]) ).
fof(f97,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k8_relset_2(X0,X1,X2,X3),k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f96]) ).
fof(f98,plain,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f53]) ).
fof(f99,plain,
! [X0,X1,X2] :
( ! [X3] :
( ! [X4] :
( ( r1_tarski(X2,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)))
<=> r1_tarski(X3,k8_relset_2(X0,X1,X2,X4)) )
| ~ m2_relset_1(X4,X0,X1) )
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f56]) ).
fof(f100,plain,
( ? [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( ( ~ r1_tarski(X3,k8_relset_2(X0,X1,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)),X4))
| ~ r1_tarski(X2,k8_relset_2(X1,X0,k8_relset_2(X0,X1,X2,X4),k6_relset_1(X0,X1,X4))) )
& m2_relset_1(X4,X0,X1) )
& m1_subset_1(X3,k1_zfmisc_1(X1)) )
& m1_subset_1(X2,k1_zfmisc_1(X0)) )
=> ( ? [X3] :
( ? [X4] :
( ( ~ r1_tarski(X3,k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,X3,k6_relset_1(sK0,sK1,X4)),X4))
| ~ r1_tarski(sK2,k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,sK2,X4),k6_relset_1(sK0,sK1,X4))) )
& m2_relset_1(X4,sK0,sK1) )
& m1_subset_1(X3,k1_zfmisc_1(sK1)) )
& m1_subset_1(sK2,k1_zfmisc_1(sK0)) ) ),
introduced(choice_axiom,[]) ).
fof(f101,plain,
( ? [X3] :
( ? [X4] :
( ( ~ r1_tarski(X3,k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,X3,k6_relset_1(sK0,sK1,X4)),X4))
| ~ r1_tarski(sK2,k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,sK2,X4),k6_relset_1(sK0,sK1,X4))) )
& m2_relset_1(X4,sK0,sK1) )
& m1_subset_1(X3,k1_zfmisc_1(sK1)) )
=> ( ? [X4] :
( ( ~ r1_tarski(sK3,k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,X4)),X4))
| ~ r1_tarski(sK2,k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,sK2,X4),k6_relset_1(sK0,sK1,X4))) )
& m2_relset_1(X4,sK0,sK1) )
& m1_subset_1(sK3,k1_zfmisc_1(sK1)) ) ),
introduced(choice_axiom,[]) ).
fof(f102,plain,
( ? [X4] :
( ( ~ r1_tarski(sK3,k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,X4)),X4))
| ~ r1_tarski(sK2,k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,sK2,X4),k6_relset_1(sK0,sK1,X4))) )
& m2_relset_1(X4,sK0,sK1) )
=> ( ( ~ r1_tarski(sK3,k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)),sK4))
| ~ r1_tarski(sK2,k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,sK2,sK4),k6_relset_1(sK0,sK1,sK4))) )
& m2_relset_1(sK4,sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f103,plain,
( ( ~ r1_tarski(sK3,k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)),sK4))
| ~ r1_tarski(sK2,k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,sK2,sK4),k6_relset_1(sK0,sK1,sK4))) )
& m2_relset_1(sK4,sK0,sK1)
& m1_subset_1(sK3,k1_zfmisc_1(sK1))
& m1_subset_1(sK2,k1_zfmisc_1(sK0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f64,f102,f101,f100]) ).
fof(f124,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,[],[f48]) ).
fof(f126,plain,
! [X0,X1,X2] :
( ! [X3] :
( ! [X4] :
( ( ( r1_tarski(X2,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)))
| ~ r1_tarski(X3,k8_relset_2(X0,X1,X2,X4)) )
& ( r1_tarski(X3,k8_relset_2(X0,X1,X2,X4))
| ~ r1_tarski(X2,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4))) ) )
| ~ m2_relset_1(X4,X0,X1) )
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(nnf_transformation,[],[f99]) ).
fof(f127,plain,
m1_subset_1(sK2,k1_zfmisc_1(sK0)),
inference(cnf_transformation,[],[f103]) ).
fof(f128,plain,
m1_subset_1(sK3,k1_zfmisc_1(sK1)),
inference(cnf_transformation,[],[f103]) ).
fof(f129,plain,
m2_relset_1(sK4,sK0,sK1),
inference(cnf_transformation,[],[f103]) ).
fof(f130,plain,
( ~ r1_tarski(sK3,k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)),sK4))
| ~ r1_tarski(sK2,k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,sK2,sK4),k6_relset_1(sK0,sK1,sK4))) ),
inference(cnf_transformation,[],[f103]) ).
fof(f174,plain,
! [X0] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f57]) ).
fof(f177,plain,
! [X2,X0,X1] :
( k6_relset_1(X0,X1,X2) = k4_relat_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f92]) ).
fof(f179,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f124]) ).
fof(f180,plain,
! [X2,X0,X1] :
( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f124]) ).
fof(f181,plain,
! [X2,X0,X1] :
( m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f95]) ).
fof(f182,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(k8_relset_2(X0,X1,X2,X3),k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f97]) ).
fof(f183,plain,
! [X2,X0,X1] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f187,plain,
! [X2,X3,X0,X1,X4] :
( r1_tarski(X3,k8_relset_2(X0,X1,X2,X4))
| ~ r1_tarski(X2,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)))
| ~ m2_relset_1(X4,X0,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f126]) ).
fof(f188,plain,
! [X2,X3,X0,X1,X4] :
( r1_tarski(X2,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)))
| ~ r1_tarski(X3,k8_relset_2(X0,X1,X2,X4))
| ~ m2_relset_1(X4,X0,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f126]) ).
cnf(c_49,negated_conjecture,
( ~ r1_tarski(sK3,k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)),sK4))
| ~ r1_tarski(sK2,k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,sK2,sK4),k6_relset_1(sK0,sK1,sK4))) ),
inference(cnf_transformation,[],[f130]) ).
cnf(c_50,negated_conjecture,
m2_relset_1(sK4,sK0,sK1),
inference(cnf_transformation,[],[f129]) ).
cnf(c_51,negated_conjecture,
m1_subset_1(sK3,k1_zfmisc_1(sK1)),
inference(cnf_transformation,[],[f128]) ).
cnf(c_52,negated_conjecture,
m1_subset_1(sK2,k1_zfmisc_1(sK0)),
inference(cnf_transformation,[],[f127]) ).
cnf(c_96,plain,
r1_tarski(X0,X0),
inference(cnf_transformation,[],[f174]) ).
cnf(c_99,plain,
( ~ m1_relset_1(X0,X1,X2)
| k6_relset_1(X1,X2,X0) = k4_relat_1(X0) ),
inference(cnf_transformation,[],[f177]) ).
cnf(c_101,plain,
( ~ m1_relset_1(X0,X1,X2)
| m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f180]) ).
cnf(c_102,plain,
( ~ m2_relset_1(X0,X1,X2)
| m1_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f179]) ).
cnf(c_103,plain,
( ~ m1_relset_1(X0,X1,X2)
| m2_relset_1(k6_relset_1(X1,X2,X0),X2,X1) ),
inference(cnf_transformation,[],[f181]) ).
cnf(c_104,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| m1_subset_1(k8_relset_2(X1,X2,X3,X0),k1_zfmisc_1(X2)) ),
inference(cnf_transformation,[],[f182]) ).
cnf(c_105,plain,
( ~ m2_relset_1(X0,X1,X2)
| m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(cnf_transformation,[],[f183]) ).
cnf(c_109,plain,
( ~ r1_tarski(X0,k8_relset_2(X1,X2,X3,X4))
| ~ m2_relset_1(X4,X1,X2)
| ~ m1_subset_1(X0,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| r1_tarski(X3,k8_relset_2(X2,X1,X0,k6_relset_1(X1,X2,X4))) ),
inference(cnf_transformation,[],[f188]) ).
cnf(c_110,plain,
( ~ r1_tarski(X0,k8_relset_2(X1,X2,X3,k6_relset_1(X2,X1,X4)))
| ~ m2_relset_1(X4,X2,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| r1_tarski(X3,k8_relset_2(X2,X1,X0,X4)) ),
inference(cnf_transformation,[],[f187]) ).
cnf(c_161,plain,
( m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_102]) ).
cnf(c_162,plain,
( ~ m2_relset_1(X0,X1,X2)
| m1_relset_1(X0,X1,X2) ),
inference(renaming,[status(thm)],[c_161]) ).
cnf(c_201,plain,
( m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_relset_1(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_101,c_105]) ).
cnf(c_202,plain,
( ~ m1_relset_1(X0,X1,X2)
| m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(renaming,[status(thm)],[c_201]) ).
cnf(c_897,plain,
( X0 != sK0
| X1 != sK1
| X2 != sK4
| m1_relset_1(X2,X0,X1) ),
inference(resolution_lifted,[status(thm)],[c_50,c_162]) ).
cnf(c_898,plain,
m1_relset_1(sK4,sK0,sK1),
inference(unflattening,[status(thm)],[c_897]) ).
cnf(c_1188,plain,
( m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_relset_1(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_202]) ).
cnf(c_1189,plain,
( ~ m1_relset_1(X0,X1,X2)
| m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(renaming,[status(thm)],[c_1188]) ).
cnf(c_3376,plain,
m1_relset_1(sK4,sK0,sK1),
inference(superposition,[status(thm)],[c_50,c_102]) ).
cnf(c_3487,plain,
k6_relset_1(sK0,sK1,sK4) = k4_relat_1(sK4),
inference(superposition,[status(thm)],[c_3376,c_99]) ).
cnf(c_3489,plain,
( ~ r1_tarski(sK3,k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,sK3,k4_relat_1(sK4)),sK4))
| ~ r1_tarski(sK2,k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,sK2,sK4),k4_relat_1(sK4))) ),
inference(demodulation,[status(thm)],[c_49,c_3487]) ).
cnf(c_3536,plain,
( ~ m1_relset_1(sK4,sK0,sK1)
| m2_relset_1(k4_relat_1(sK4),sK1,sK0) ),
inference(superposition,[status(thm)],[c_3487,c_103]) ).
cnf(c_3537,plain,
m2_relset_1(k4_relat_1(sK4),sK1,sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_3536,c_3376]) ).
cnf(c_3538,plain,
m1_relset_1(k4_relat_1(sK4),sK1,sK0),
inference(superposition,[status(thm)],[c_3537,c_102]) ).
cnf(c_3828,plain,
( ~ r1_tarski(X0,k8_relset_2(sK0,sK1,X1,sK4))
| ~ m1_subset_1(X0,k1_zfmisc_1(sK1))
| ~ m1_subset_1(X1,k1_zfmisc_1(sK0))
| ~ m2_relset_1(sK4,sK0,sK1)
| r1_tarski(X1,k8_relset_2(sK1,sK0,X0,k4_relat_1(sK4))) ),
inference(superposition,[status(thm)],[c_3487,c_109]) ).
cnf(c_3835,plain,
( ~ r1_tarski(X0,k8_relset_2(sK0,sK1,X1,sK4))
| ~ m1_subset_1(X0,k1_zfmisc_1(sK1))
| ~ m1_subset_1(X1,k1_zfmisc_1(sK0))
| r1_tarski(X1,k8_relset_2(sK1,sK0,X0,k4_relat_1(sK4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3828,c_50]) ).
cnf(c_3906,plain,
( ~ r1_tarski(X0,k8_relset_2(sK1,sK0,X1,k4_relat_1(sK4)))
| ~ m1_subset_1(X0,k1_zfmisc_1(sK0))
| ~ m1_subset_1(X1,k1_zfmisc_1(sK1))
| ~ m2_relset_1(sK4,sK0,sK1)
| r1_tarski(X1,k8_relset_2(sK0,sK1,X0,sK4)) ),
inference(superposition,[status(thm)],[c_3487,c_110]) ).
cnf(c_3917,plain,
( ~ r1_tarski(X0,k8_relset_2(sK1,sK0,X1,k4_relat_1(sK4)))
| ~ m1_subset_1(X0,k1_zfmisc_1(sK0))
| ~ m1_subset_1(X1,k1_zfmisc_1(sK1))
| r1_tarski(X1,k8_relset_2(sK0,sK1,X0,sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3906,c_50]) ).
cnf(c_4063,plain,
( ~ m1_relset_1(sK4,sK0,sK1)
| m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))) ),
inference(instantiation,[status(thm)],[c_1189]) ).
cnf(c_4085,plain,
( ~ m1_subset_1(k8_relset_2(sK1,sK0,X0,k4_relat_1(sK4)),k1_zfmisc_1(sK0))
| ~ m1_subset_1(X0,k1_zfmisc_1(sK1))
| r1_tarski(X0,k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,X0,k4_relat_1(sK4)),sK4)) ),
inference(superposition,[status(thm)],[c_96,c_3917]) ).
cnf(c_4153,plain,
( ~ r1_tarski(sK2,k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,sK2,sK4),k4_relat_1(sK4)))
| ~ m1_subset_1(k8_relset_2(sK1,sK0,sK3,k4_relat_1(sK4)),k1_zfmisc_1(sK0))
| ~ m1_subset_1(sK3,k1_zfmisc_1(sK1)) ),
inference(superposition,[status(thm)],[c_4085,c_3489]) ).
cnf(c_4154,plain,
( ~ r1_tarski(sK2,k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,sK2,sK4),k4_relat_1(sK4)))
| ~ m1_subset_1(k8_relset_2(sK1,sK0,sK3,k4_relat_1(sK4)),k1_zfmisc_1(sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4153,c_51]) ).
cnf(c_4161,plain,
( ~ r1_tarski(k8_relset_2(sK0,sK1,sK2,sK4),k8_relset_2(sK0,sK1,sK2,sK4))
| ~ m1_subset_1(k8_relset_2(sK1,sK0,sK3,k4_relat_1(sK4)),k1_zfmisc_1(sK0))
| ~ m1_subset_1(k8_relset_2(sK0,sK1,sK2,sK4),k1_zfmisc_1(sK1))
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0)) ),
inference(superposition,[status(thm)],[c_3835,c_4154]) ).
cnf(c_4162,plain,
( ~ m1_subset_1(k8_relset_2(sK1,sK0,sK3,k4_relat_1(sK4)),k1_zfmisc_1(sK0))
| ~ m1_subset_1(k8_relset_2(sK0,sK1,sK2,sK4),k1_zfmisc_1(sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4161,c_52,c_96]) ).
cnf(c_4170,plain,
( ~ m1_subset_1(k8_relset_2(sK0,sK1,sK2,sK4),k1_zfmisc_1(sK1))
| ~ m1_subset_1(k4_relat_1(sK4),k1_zfmisc_1(k2_zfmisc_1(sK1,sK0)))
| ~ m1_subset_1(sK3,k1_zfmisc_1(sK1)) ),
inference(superposition,[status(thm)],[c_104,c_4162]) ).
cnf(c_4173,plain,
( ~ m1_subset_1(k8_relset_2(sK0,sK1,sK2,sK4),k1_zfmisc_1(sK1))
| ~ m1_subset_1(k4_relat_1(sK4),k1_zfmisc_1(k2_zfmisc_1(sK1,sK0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4170,c_51]) ).
cnf(c_4181,plain,
( ~ m1_subset_1(k4_relat_1(sK4),k1_zfmisc_1(k2_zfmisc_1(sK1,sK0)))
| ~ m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0)) ),
inference(superposition,[status(thm)],[c_104,c_4173]) ).
cnf(c_4184,plain,
( ~ m1_subset_1(k4_relat_1(sK4),k1_zfmisc_1(k2_zfmisc_1(sK1,sK0)))
| ~ m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4181,c_52]) ).
cnf(c_4196,plain,
~ m1_subset_1(k4_relat_1(sK4),k1_zfmisc_1(k2_zfmisc_1(sK1,sK0))),
inference(global_subsumption_just,[status(thm)],[c_4184,c_898,c_4063,c_4184]) ).
cnf(c_5390,plain,
~ m1_relset_1(k4_relat_1(sK4),sK1,sK0),
inference(superposition,[status(thm)],[c_1189,c_4196]) ).
cnf(c_5391,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_5390,c_3538]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU449+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.17/0.34 % Computer : n021.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Wed Aug 23 20:37:24 EDT 2023
% 0.17/0.34 % CPUTime :
% 0.21/0.47 Running first-order theorem proving
% 0.21/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.83/1.17 % SZS status Started for theBenchmark.p
% 3.83/1.17 % SZS status Theorem for theBenchmark.p
% 3.83/1.17
% 3.83/1.17 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.83/1.17
% 3.83/1.17 ------ iProver source info
% 3.83/1.17
% 3.83/1.17 git: date: 2023-05-31 18:12:56 +0000
% 3.83/1.17 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.83/1.17 git: non_committed_changes: false
% 3.83/1.17 git: last_make_outside_of_git: false
% 3.83/1.17
% 3.83/1.17 ------ Parsing...
% 3.83/1.17 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.83/1.17
% 3.83/1.17 ------ 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
% 3.83/1.17
% 3.83/1.17 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.83/1.17
% 3.83/1.17 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.83/1.17 ------ Proving...
% 3.83/1.17 ------ Problem Properties
% 3.83/1.17
% 3.83/1.17
% 3.83/1.17 clauses 59
% 3.83/1.17 conjectures 4
% 3.83/1.17 EPR 20
% 3.83/1.17 Horn 56
% 3.83/1.17 unary 22
% 3.83/1.17 binary 27
% 3.83/1.17 lits 110
% 3.83/1.17 lits eq 9
% 3.83/1.17 fd_pure 0
% 3.83/1.17 fd_pseudo 0
% 3.83/1.17 fd_cond 1
% 3.83/1.17 fd_pseudo_cond 1
% 3.83/1.17 AC symbols 0
% 3.83/1.17
% 3.83/1.17 ------ Schedule dynamic 5 is on
% 3.83/1.17
% 3.83/1.17 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.83/1.17
% 3.83/1.17
% 3.83/1.17 ------
% 3.83/1.17 Current options:
% 3.83/1.17 ------
% 3.83/1.17
% 3.83/1.17
% 3.83/1.17
% 3.83/1.17
% 3.83/1.17 ------ Proving...
% 3.83/1.17
% 3.83/1.17
% 3.83/1.17 % SZS status Theorem for theBenchmark.p
% 3.83/1.17
% 3.83/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.83/1.17
% 3.83/1.18
%------------------------------------------------------------------------------