TSTP Solution File: SEU049+1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SEU049+1 : TPTP v8.1.2. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n022.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 17:03:32 EDT 2023
% Result : Theorem 84.98s 12.27s
% Output : CNFRefutation 84.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of formulae : 79 ( 18 unt; 0 def)
% Number of atoms : 351 ( 152 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 446 ( 174 ~; 184 |; 70 &)
% ( 8 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 2 con; 0-3 aty)
% Number of variables : 152 ( 0 sgn; 80 !; 23 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ! [X1,X2] :
( relation_image(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( apply(X0,X4) = X3
& in(X4,X1)
& in(X4,relation_dom(X0)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d12_funct_1) ).
fof(f6,axiom,
! [X0,X1] :
( singleton(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> X0 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_tarski) ).
fof(f26,conjecture,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ( in(X0,relation_dom(X1))
=> relation_image(X1,singleton(X0)) = singleton(apply(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t117_funct_1) ).
fof(f27,negated_conjecture,
~ ! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ( in(X0,relation_dom(X1))
=> relation_image(X1,singleton(X0)) = singleton(apply(X1,X0)) ) ),
inference(negated_conjecture,[],[f26]) ).
fof(f48,plain,
! [X0] :
( ! [X1,X2] :
( relation_image(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( apply(X0,X4) = X3
& in(X4,X1)
& in(X4,relation_dom(X0)) ) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f49,plain,
! [X0] :
( ! [X1,X2] :
( relation_image(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( apply(X0,X4) = X3
& in(X4,X1)
& in(X4,relation_dom(X0)) ) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f48]) ).
fof(f54,plain,
? [X0,X1] :
( relation_image(X1,singleton(X0)) != singleton(apply(X1,X0))
& in(X0,relation_dom(X1))
& function(X1)
& relation(X1) ),
inference(ennf_transformation,[],[f27]) ).
fof(f55,plain,
? [X0,X1] :
( relation_image(X1,singleton(X0)) != singleton(apply(X1,X0))
& in(X0,relation_dom(X1))
& function(X1)
& relation(X1) ),
inference(flattening,[],[f54]) ).
fof(f67,plain,
! [X0] :
( ! [X1,X2] :
( ( relation_image(X0,X1) = X2
| ? [X3] :
( ( ! [X4] :
( apply(X0,X4) != X3
| ~ in(X4,X1)
| ~ in(X4,relation_dom(X0)) )
| ~ in(X3,X2) )
& ( ? [X4] :
( apply(X0,X4) = X3
& in(X4,X1)
& in(X4,relation_dom(X0)) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ! [X4] :
( apply(X0,X4) != X3
| ~ in(X4,X1)
| ~ in(X4,relation_dom(X0)) ) )
& ( ? [X4] :
( apply(X0,X4) = X3
& in(X4,X1)
& in(X4,relation_dom(X0)) )
| ~ in(X3,X2) ) )
| relation_image(X0,X1) != X2 ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(nnf_transformation,[],[f49]) ).
fof(f68,plain,
! [X0] :
( ! [X1,X2] :
( ( relation_image(X0,X1) = X2
| ? [X3] :
( ( ! [X4] :
( apply(X0,X4) != X3
| ~ in(X4,X1)
| ~ in(X4,relation_dom(X0)) )
| ~ in(X3,X2) )
& ( ? [X5] :
( apply(X0,X5) = X3
& in(X5,X1)
& in(X5,relation_dom(X0)) )
| in(X3,X2) ) ) )
& ( ! [X6] :
( ( in(X6,X2)
| ! [X7] :
( apply(X0,X7) != X6
| ~ in(X7,X1)
| ~ in(X7,relation_dom(X0)) ) )
& ( ? [X8] :
( apply(X0,X8) = X6
& in(X8,X1)
& in(X8,relation_dom(X0)) )
| ~ in(X6,X2) ) )
| relation_image(X0,X1) != X2 ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(rectify,[],[f67]) ).
fof(f69,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ! [X4] :
( apply(X0,X4) != X3
| ~ in(X4,X1)
| ~ in(X4,relation_dom(X0)) )
| ~ in(X3,X2) )
& ( ? [X5] :
( apply(X0,X5) = X3
& in(X5,X1)
& in(X5,relation_dom(X0)) )
| in(X3,X2) ) )
=> ( ( ! [X4] :
( apply(X0,X4) != sK0(X0,X1,X2)
| ~ in(X4,X1)
| ~ in(X4,relation_dom(X0)) )
| ~ in(sK0(X0,X1,X2),X2) )
& ( ? [X5] :
( apply(X0,X5) = sK0(X0,X1,X2)
& in(X5,X1)
& in(X5,relation_dom(X0)) )
| in(sK0(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f70,plain,
! [X0,X1,X2] :
( ? [X5] :
( apply(X0,X5) = sK0(X0,X1,X2)
& in(X5,X1)
& in(X5,relation_dom(X0)) )
=> ( sK0(X0,X1,X2) = apply(X0,sK1(X0,X1,X2))
& in(sK1(X0,X1,X2),X1)
& in(sK1(X0,X1,X2),relation_dom(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f71,plain,
! [X0,X1,X6] :
( ? [X8] :
( apply(X0,X8) = X6
& in(X8,X1)
& in(X8,relation_dom(X0)) )
=> ( apply(X0,sK2(X0,X1,X6)) = X6
& in(sK2(X0,X1,X6),X1)
& in(sK2(X0,X1,X6),relation_dom(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
! [X0] :
( ! [X1,X2] :
( ( relation_image(X0,X1) = X2
| ( ( ! [X4] :
( apply(X0,X4) != sK0(X0,X1,X2)
| ~ in(X4,X1)
| ~ in(X4,relation_dom(X0)) )
| ~ in(sK0(X0,X1,X2),X2) )
& ( ( sK0(X0,X1,X2) = apply(X0,sK1(X0,X1,X2))
& in(sK1(X0,X1,X2),X1)
& in(sK1(X0,X1,X2),relation_dom(X0)) )
| in(sK0(X0,X1,X2),X2) ) ) )
& ( ! [X6] :
( ( in(X6,X2)
| ! [X7] :
( apply(X0,X7) != X6
| ~ in(X7,X1)
| ~ in(X7,relation_dom(X0)) ) )
& ( ( apply(X0,sK2(X0,X1,X6)) = X6
& in(sK2(X0,X1,X6),X1)
& in(sK2(X0,X1,X6),relation_dom(X0)) )
| ~ in(X6,X2) ) )
| relation_image(X0,X1) != X2 ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f68,f71,f70,f69]) ).
fof(f73,plain,
! [X0,X1] :
( ( singleton(X0) = X1
| ? [X2] :
( ( X0 != X2
| ~ in(X2,X1) )
& ( X0 = X2
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| X0 != X2 )
& ( X0 = X2
| ~ in(X2,X1) ) )
| singleton(X0) != X1 ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f74,plain,
! [X0,X1] :
( ( singleton(X0) = X1
| ? [X2] :
( ( X0 != X2
| ~ in(X2,X1) )
& ( X0 = X2
| in(X2,X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| X0 != X3 )
& ( X0 = X3
| ~ in(X3,X1) ) )
| singleton(X0) != X1 ) ),
inference(rectify,[],[f73]) ).
fof(f75,plain,
! [X0,X1] :
( ? [X2] :
( ( X0 != X2
| ~ in(X2,X1) )
& ( X0 = X2
| in(X2,X1) ) )
=> ( ( sK3(X0,X1) != X0
| ~ in(sK3(X0,X1),X1) )
& ( sK3(X0,X1) = X0
| in(sK3(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f76,plain,
! [X0,X1] :
( ( singleton(X0) = X1
| ( ( sK3(X0,X1) != X0
| ~ in(sK3(X0,X1),X1) )
& ( sK3(X0,X1) = X0
| in(sK3(X0,X1),X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| X0 != X3 )
& ( X0 = X3
| ~ in(X3,X1) ) )
| singleton(X0) != X1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f74,f75]) ).
fof(f99,plain,
( ? [X0,X1] :
( relation_image(X1,singleton(X0)) != singleton(apply(X1,X0))
& in(X0,relation_dom(X1))
& function(X1)
& relation(X1) )
=> ( relation_image(sK16,singleton(sK15)) != singleton(apply(sK16,sK15))
& in(sK15,relation_dom(sK16))
& function(sK16)
& relation(sK16) ) ),
introduced(choice_axiom,[]) ).
fof(f100,plain,
( relation_image(sK16,singleton(sK15)) != singleton(apply(sK16,sK15))
& in(sK15,relation_dom(sK16))
& function(sK16)
& relation(sK16) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15,sK16])],[f55,f99]) ).
fof(f114,plain,
! [X2,X0,X1] :
( relation_image(X0,X1) = X2
| in(sK1(X0,X1,X2),X1)
| in(sK0(X0,X1,X2),X2)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f115,plain,
! [X2,X0,X1] :
( relation_image(X0,X1) = X2
| sK0(X0,X1,X2) = apply(X0,sK1(X0,X1,X2))
| in(sK0(X0,X1,X2),X2)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f116,plain,
! [X2,X0,X1,X4] :
( relation_image(X0,X1) = X2
| apply(X0,X4) != sK0(X0,X1,X2)
| ~ in(X4,X1)
| ~ in(X4,relation_dom(X0))
| ~ in(sK0(X0,X1,X2),X2)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f117,plain,
! [X3,X0,X1] :
( X0 = X3
| ~ in(X3,X1)
| singleton(X0) != X1 ),
inference(cnf_transformation,[],[f76]) ).
fof(f118,plain,
! [X3,X0,X1] :
( in(X3,X1)
| X0 != X3
| singleton(X0) != X1 ),
inference(cnf_transformation,[],[f76]) ).
fof(f151,plain,
relation(sK16),
inference(cnf_transformation,[],[f100]) ).
fof(f152,plain,
function(sK16),
inference(cnf_transformation,[],[f100]) ).
fof(f153,plain,
in(sK15,relation_dom(sK16)),
inference(cnf_transformation,[],[f100]) ).
fof(f154,plain,
relation_image(sK16,singleton(sK15)) != singleton(apply(sK16,sK15)),
inference(cnf_transformation,[],[f100]) ).
fof(f170,plain,
! [X3,X1] :
( in(X3,X1)
| singleton(X3) != X1 ),
inference(equality_resolution,[],[f118]) ).
fof(f171,plain,
! [X3] : in(X3,singleton(X3)),
inference(equality_resolution,[],[f170]) ).
fof(f172,plain,
! [X3,X0] :
( X0 = X3
| ~ in(X3,singleton(X0)) ),
inference(equality_resolution,[],[f117]) ).
cnf(c_52,plain,
( sK0(X0,X1,X2) != apply(X0,X3)
| ~ in(sK0(X0,X1,X2),X2)
| ~ in(X3,relation_dom(X0))
| ~ in(X3,X1)
| ~ function(X0)
| ~ relation(X0)
| relation_image(X0,X1) = X2 ),
inference(cnf_transformation,[],[f116]) ).
cnf(c_53,plain,
( ~ function(X0)
| ~ relation(X0)
| apply(X0,sK1(X0,X1,X2)) = sK0(X0,X1,X2)
| relation_image(X0,X1) = X2
| in(sK0(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f115]) ).
cnf(c_54,plain,
( ~ function(X0)
| ~ relation(X0)
| relation_image(X0,X1) = X2
| in(sK0(X0,X1,X2),X2)
| in(sK1(X0,X1,X2),X1) ),
inference(cnf_transformation,[],[f114]) ).
cnf(c_62,plain,
in(X0,singleton(X0)),
inference(cnf_transformation,[],[f171]) ).
cnf(c_63,plain,
( ~ in(X0,singleton(X1))
| X0 = X1 ),
inference(cnf_transformation,[],[f172]) ).
cnf(c_94,negated_conjecture,
relation_image(sK16,singleton(sK15)) != singleton(apply(sK16,sK15)),
inference(cnf_transformation,[],[f154]) ).
cnf(c_95,negated_conjecture,
in(sK15,relation_dom(sK16)),
inference(cnf_transformation,[],[f153]) ).
cnf(c_96,negated_conjecture,
function(sK16),
inference(cnf_transformation,[],[f152]) ).
cnf(c_97,negated_conjecture,
relation(sK16),
inference(cnf_transformation,[],[f151]) ).
cnf(c_4983,plain,
X0 = X0,
theory(equality) ).
cnf(c_4985,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_4986,plain,
( X0 != X1
| X2 != X3
| ~ in(X1,X3)
| in(X0,X2) ),
theory(equality) ).
cnf(c_4991,plain,
( X0 != X1
| X2 != X3
| apply(X0,X2) = apply(X1,X3) ),
theory(equality) ).
cnf(c_5716,plain,
( X0 != X1
| X2 != singleton(X1)
| ~ in(X1,singleton(X1))
| in(X0,X2) ),
inference(instantiation,[status(thm)],[c_4986]) ).
cnf(c_5722,plain,
( ~ function(sK16)
| ~ relation(sK16)
| relation_image(sK16,singleton(sK15)) = singleton(apply(sK16,sK15))
| in(sK0(sK16,singleton(sK15),singleton(apply(sK16,sK15))),singleton(apply(sK16,sK15)))
| in(sK1(sK16,singleton(sK15),singleton(apply(sK16,sK15))),singleton(sK15)) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_5724,plain,
( ~ function(sK16)
| ~ relation(sK16)
| apply(sK16,sK1(sK16,singleton(sK15),singleton(apply(sK16,sK15)))) = sK0(sK16,singleton(sK15),singleton(apply(sK16,sK15)))
| relation_image(sK16,singleton(sK15)) = singleton(apply(sK16,sK15))
| in(sK0(sK16,singleton(sK15),singleton(apply(sK16,sK15))),singleton(apply(sK16,sK15))) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_5725,plain,
( sK0(sK16,X0,X1) != apply(sK16,sK15)
| ~ in(sK0(sK16,X0,X1),X1)
| ~ in(sK15,relation_dom(sK16))
| ~ in(sK15,X0)
| ~ function(sK16)
| ~ relation(sK16)
| relation_image(sK16,X0) = X1 ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_5810,plain,
( ~ in(singleton(apply(sK16,sK15)),singleton(X0))
| singleton(apply(sK16,sK15)) = X0 ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_5823,plain,
in(sK15,singleton(sK15)),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_5837,plain,
( ~ in(X0,singleton(sK15))
| X0 = sK15 ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_5854,plain,
sK15 = sK15,
inference(instantiation,[status(thm)],[c_4983]) ).
cnf(c_5994,plain,
( singleton(X0) != singleton(X0)
| X1 != X0
| ~ in(X0,singleton(X0))
| in(X1,singleton(X0)) ),
inference(instantiation,[status(thm)],[c_5716]) ).
cnf(c_6207,plain,
( sK0(sK16,singleton(sK15),X0) != apply(sK16,sK15)
| ~ in(sK0(sK16,singleton(sK15),X0),X0)
| ~ in(sK15,relation_dom(sK16))
| ~ in(sK15,singleton(sK15))
| ~ function(sK16)
| ~ relation(sK16)
| relation_image(sK16,singleton(sK15)) = X0 ),
inference(instantiation,[status(thm)],[c_5725]) ).
cnf(c_6337,plain,
( ~ in(singleton(apply(sK16,sK15)),singleton(singleton(apply(sK16,sK15))))
| singleton(apply(sK16,sK15)) = singleton(apply(sK16,sK15)) ),
inference(instantiation,[status(thm)],[c_5810]) ).
cnf(c_6338,plain,
in(singleton(apply(sK16,sK15)),singleton(singleton(apply(sK16,sK15)))),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_6381,plain,
( ~ in(sK1(sK16,singleton(sK15),singleton(apply(sK16,sK15))),singleton(sK15))
| sK1(sK16,singleton(sK15),singleton(apply(sK16,sK15))) = sK15 ),
inference(instantiation,[status(thm)],[c_5837]) ).
cnf(c_7765,plain,
( sK0(sK16,X0,singleton(X1)) != X1
| singleton(X1) != singleton(X1)
| ~ in(X1,singleton(X1))
| in(sK0(sK16,X0,singleton(X1)),singleton(X1)) ),
inference(instantiation,[status(thm)],[c_5994]) ).
cnf(c_9082,plain,
sK16 = sK16,
inference(instantiation,[status(thm)],[c_4983]) ).
cnf(c_9099,plain,
( ~ in(sK0(sK16,singleton(sK15),X0),singleton(apply(sK16,sK15)))
| sK0(sK16,singleton(sK15),X0) = apply(sK16,sK15) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_12072,plain,
sK0(sK16,singleton(sK15),singleton(apply(sK16,sK15))) = sK0(sK16,singleton(sK15),singleton(apply(sK16,sK15))),
inference(instantiation,[status(thm)],[c_4983]) ).
cnf(c_15137,plain,
( sK1(sK16,singleton(sK15),singleton(apply(sK16,sK15))) != X0
| X1 != X0
| X1 = sK1(sK16,singleton(sK15),singleton(apply(sK16,sK15))) ),
inference(instantiation,[status(thm)],[c_4985]) ).
cnf(c_16544,plain,
( sK0(sK16,singleton(sK15),singleton(X0)) != apply(sK16,sK15)
| ~ in(sK0(sK16,singleton(sK15),singleton(X0)),singleton(X0))
| ~ in(sK15,relation_dom(sK16))
| ~ in(sK15,singleton(sK15))
| ~ function(sK16)
| ~ relation(sK16)
| relation_image(sK16,singleton(sK15)) = singleton(X0) ),
inference(instantiation,[status(thm)],[c_6207]) ).
cnf(c_26330,plain,
( ~ in(sK0(sK16,singleton(sK15),singleton(apply(sK16,sK15))),singleton(apply(sK16,sK15)))
| sK0(sK16,singleton(sK15),singleton(apply(sK16,sK15))) = apply(sK16,sK15) ),
inference(instantiation,[status(thm)],[c_9099]) ).
cnf(c_31122,plain,
( sK0(sK16,singleton(sK15),singleton(apply(sK16,sK15))) != apply(sK16,sK15)
| singleton(apply(sK16,sK15)) != singleton(apply(sK16,sK15))
| ~ in(apply(sK16,sK15),singleton(apply(sK16,sK15)))
| in(sK0(sK16,singleton(sK15),singleton(apply(sK16,sK15))),singleton(apply(sK16,sK15))) ),
inference(instantiation,[status(thm)],[c_7765]) ).
cnf(c_42642,plain,
in(apply(sK16,sK15),singleton(apply(sK16,sK15))),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_50066,plain,
( sK0(sK16,singleton(sK15),singleton(apply(sK16,sK15))) != apply(sK16,sK15)
| ~ in(sK0(sK16,singleton(sK15),singleton(apply(sK16,sK15))),singleton(apply(sK16,sK15)))
| ~ in(sK15,relation_dom(sK16))
| ~ in(sK15,singleton(sK15))
| ~ function(sK16)
| ~ relation(sK16)
| relation_image(sK16,singleton(sK15)) = singleton(apply(sK16,sK15)) ),
inference(instantiation,[status(thm)],[c_16544]) ).
cnf(c_57516,plain,
( sK1(sK16,singleton(sK15),singleton(apply(sK16,sK15))) != sK15
| X0 != sK15
| X0 = sK1(sK16,singleton(sK15),singleton(apply(sK16,sK15))) ),
inference(instantiation,[status(thm)],[c_15137]) ).
cnf(c_71925,plain,
( sK1(sK16,singleton(sK15),singleton(apply(sK16,sK15))) != sK15
| sK15 != sK15
| sK15 = sK1(sK16,singleton(sK15),singleton(apply(sK16,sK15))) ),
inference(instantiation,[status(thm)],[c_57516]) ).
cnf(c_75778,plain,
( apply(sK16,sK1(sK16,singleton(sK15),singleton(apply(sK16,sK15)))) != X0
| sK0(sK16,singleton(sK15),singleton(apply(sK16,sK15))) != X0
| sK0(sK16,singleton(sK15),singleton(apply(sK16,sK15))) = apply(sK16,sK1(sK16,singleton(sK15),singleton(apply(sK16,sK15)))) ),
inference(instantiation,[status(thm)],[c_4985]) ).
cnf(c_75836,plain,
( apply(sK16,sK15) != X0
| X1 != X0
| X1 = apply(sK16,sK15) ),
inference(instantiation,[status(thm)],[c_4985]) ).
cnf(c_91772,plain,
( sK0(sK16,singleton(sK15),singleton(apply(sK16,sK15))) != X0
| apply(sK16,sK15) != X0
| sK0(sK16,singleton(sK15),singleton(apply(sK16,sK15))) = apply(sK16,sK15) ),
inference(instantiation,[status(thm)],[c_75836]) ).
cnf(c_103586,plain,
( sK0(sK16,singleton(sK15),singleton(apply(sK16,sK15))) != apply(sK16,sK1(sK16,singleton(sK15),singleton(apply(sK16,sK15))))
| apply(sK16,sK15) != apply(sK16,sK1(sK16,singleton(sK15),singleton(apply(sK16,sK15))))
| sK0(sK16,singleton(sK15),singleton(apply(sK16,sK15))) = apply(sK16,sK15) ),
inference(instantiation,[status(thm)],[c_91772]) ).
cnf(c_129774,plain,
( apply(sK16,sK1(sK16,singleton(sK15),singleton(apply(sK16,sK15)))) != sK0(sK16,singleton(sK15),singleton(apply(sK16,sK15)))
| sK0(sK16,singleton(sK15),singleton(apply(sK16,sK15))) != sK0(sK16,singleton(sK15),singleton(apply(sK16,sK15)))
| sK0(sK16,singleton(sK15),singleton(apply(sK16,sK15))) = apply(sK16,sK1(sK16,singleton(sK15),singleton(apply(sK16,sK15)))) ),
inference(instantiation,[status(thm)],[c_75778]) ).
cnf(c_203718,plain,
( sK16 != X0
| sK15 != X1
| apply(sK16,sK15) = apply(X0,X1) ),
inference(instantiation,[status(thm)],[c_4991]) ).
cnf(c_207615,plain,
( sK16 != sK16
| sK15 != X0
| apply(sK16,sK15) = apply(sK16,X0) ),
inference(instantiation,[status(thm)],[c_203718]) ).
cnf(c_220002,plain,
( sK16 != sK16
| sK15 != sK1(sK16,singleton(sK15),singleton(apply(sK16,sK15)))
| apply(sK16,sK15) = apply(sK16,sK1(sK16,singleton(sK15),singleton(apply(sK16,sK15)))) ),
inference(instantiation,[status(thm)],[c_207615]) ).
cnf(c_220007,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_220002,c_129774,c_103586,c_71925,c_50066,c_42642,c_31122,c_26330,c_12072,c_9082,c_6381,c_6338,c_6337,c_5854,c_5823,c_5724,c_5722,c_94,c_95,c_96,c_97]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU049+1 : TPTP v8.1.2. Bugfixed v4.0.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n022.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.34 % CPULimit : 300
% 0.18/0.34 % WCLimit : 300
% 0.18/0.34 % DateTime : Wed Aug 23 17:21:26 EDT 2023
% 0.18/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 84.98/12.27 % SZS status Started for theBenchmark.p
% 84.98/12.27 % SZS status Theorem for theBenchmark.p
% 84.98/12.27
% 84.98/12.27 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 84.98/12.27
% 84.98/12.27 ------ iProver source info
% 84.98/12.27
% 84.98/12.27 git: date: 2023-05-31 18:12:56 +0000
% 84.98/12.27 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 84.98/12.27 git: non_committed_changes: false
% 84.98/12.27 git: last_make_outside_of_git: false
% 84.98/12.27
% 84.98/12.27 ------ Parsing...
% 84.98/12.27 ------ Clausification by vclausify_rel & Parsing by iProver...
% 84.98/12.27
% 84.98/12.27 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 84.98/12.27
% 84.98/12.27 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 84.98/12.27
% 84.98/12.27 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 84.98/12.27 ------ Proving...
% 84.98/12.27 ------ Problem Properties
% 84.98/12.27
% 84.98/12.27
% 84.98/12.27 clauses 55
% 84.98/12.27 conjectures 4
% 84.98/12.27 EPR 26
% 84.98/12.27 Horn 48
% 84.98/12.27 unary 27
% 84.98/12.27 binary 11
% 84.98/12.27 lits 115
% 84.98/12.27 lits eq 17
% 84.98/12.27 fd_pure 0
% 84.98/12.27 fd_pseudo 0
% 84.98/12.27 fd_cond 1
% 84.98/12.27 fd_pseudo_cond 9
% 84.98/12.27 AC symbols 0
% 84.98/12.27
% 84.98/12.27 ------ Input Options Time Limit: Unbounded
% 84.98/12.27
% 84.98/12.27
% 84.98/12.27 ------
% 84.98/12.27 Current options:
% 84.98/12.27 ------
% 84.98/12.27
% 84.98/12.27
% 84.98/12.27
% 84.98/12.27
% 84.98/12.27 ------ Proving...
% 84.98/12.27
% 84.98/12.27
% 84.98/12.27 % SZS status Theorem for theBenchmark.p
% 84.98/12.27
% 84.98/12.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 84.98/12.27
% 84.98/12.28
%------------------------------------------------------------------------------