TSTP Solution File: NUM536+1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : NUM536+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n019.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 11:31:15 EDT 2023
% Result : Theorem 37.72s 5.77s
% Output : CNFRefutation 37.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 20
% Syntax : Number of formulae : 143 ( 18 unt; 0 def)
% Number of atoms : 689 ( 138 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 913 ( 367 ~; 382 |; 129 &)
% ( 22 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 317 ( 9 sgn; 180 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
fof(f5,axiom,
! [X0] :
( slcrc0 = X0
<=> ( ~ ? [X1] : aElementOf0(X1,X0)
& aSet0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefEmp) ).
fof(f10,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSub) ).
fof(f12,axiom,
! [X0] :
( aSet0(X0)
=> aSubsetOf0(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubRefl) ).
fof(f13,axiom,
! [X0,X1] :
( ( aSet0(X1)
& aSet0(X0) )
=> ( ( aSubsetOf0(X1,X0)
& aSubsetOf0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubASymm) ).
fof(f15,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aSet0(X0) )
=> ! [X2] :
( sdtpldt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefCons) ).
fof(f16,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aSet0(X0) )
=> ! [X2] :
( sdtmndt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiff) ).
fof(f18,axiom,
( aSet0(xS)
& aElement0(xx) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__679) ).
fof(f19,axiom,
~ aElementOf0(xx,xS),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__679_02) ).
fof(f20,conjecture,
xS = sdtmndt0(sdtpldt0(xS,xx),xx),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f21,negated_conjecture,
xS != sdtmndt0(sdtpldt0(xS,xx),xx),
inference(negated_conjecture,[],[f20]) ).
fof(f26,plain,
xS != sdtmndt0(sdtpldt0(xS,xx),xx),
inference(flattening,[],[f21]) ).
fof(f29,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f30,plain,
! [X0] :
( slcrc0 = X0
<=> ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f31,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f34,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f35,plain,
! [X0,X1] :
( X0 = X1
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f36,plain,
! [X0,X1] :
( X0 = X1
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f35]) ).
fof(f39,plain,
! [X0,X1] :
( ! [X2] :
( sdtpldt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) ) )
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f40,plain,
! [X0,X1] :
( ! [X2] :
( sdtpldt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) ) )
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f39]) ).
fof(f41,plain,
! [X0,X1] :
( ! [X2] :
( sdtmndt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) ) )
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f42,plain,
! [X0,X1] :
( ! [X2] :
( sdtmndt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) ) )
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f41]) ).
fof(f44,plain,
! [X1,X0,X2] :
( sP0(X1,X0,X2)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) ) )
& aSet0(X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f45,plain,
! [X0,X1] :
( ! [X2] :
( sdtpldt0(X0,X1) = X2
<=> sP0(X1,X0,X2) )
| ~ sP1(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f46,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(definition_folding,[],[f40,f45,f44]) ).
fof(f47,plain,
! [X1,X0,X2] :
( sP2(X1,X0,X2)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) ) )
& aSet0(X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f48,plain,
! [X0,X1] :
( ! [X2] :
( sdtmndt0(X0,X1) = X2
<=> sP2(X1,X0,X2) )
| ~ sP3(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f49,plain,
! [X0,X1] :
( sP3(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(definition_folding,[],[f42,f48,f47]) ).
fof(f50,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(nnf_transformation,[],[f30]) ).
fof(f51,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(flattening,[],[f50]) ).
fof(f52,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(rectify,[],[f51]) ).
fof(f53,plain,
! [X0] :
( ? [X1] : aElementOf0(X1,X0)
=> aElementOf0(sK4(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
! [X0] :
( ( slcrc0 = X0
| aElementOf0(sK4(X0),X0)
| ~ aSet0(X0) )
& ( ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f52,f53]) ).
fof(f55,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f31]) ).
fof(f56,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(flattening,[],[f55]) ).
fof(f57,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(rectify,[],[f56]) ).
fof(f58,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK5(X0,X1),X0)
& aElementOf0(sK5(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f59,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ( ~ aElementOf0(sK5(X0,X1),X0)
& aElementOf0(sK5(X0,X1),X1) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f57,f58]) ).
fof(f60,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtpldt0(X0,X1) = X2
| ~ sP0(X1,X0,X2) )
& ( sP0(X1,X0,X2)
| sdtpldt0(X0,X1) != X2 ) )
| ~ sP1(X0,X1) ),
inference(nnf_transformation,[],[f45]) ).
fof(f61,plain,
! [X1,X0,X2] :
( ( sP0(X1,X0,X2)
| ? [X3] :
( ( ( X1 != X3
& ~ aElementOf0(X3,X0) )
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| ( X1 != X3
& ~ aElementOf0(X3,X0) )
| ~ aElement0(X3) )
& ( ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP0(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f44]) ).
fof(f62,plain,
! [X1,X0,X2] :
( ( sP0(X1,X0,X2)
| ? [X3] :
( ( ( X1 != X3
& ~ aElementOf0(X3,X0) )
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| ( X1 != X3
& ~ aElementOf0(X3,X0) )
| ~ aElement0(X3) )
& ( ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP0(X1,X0,X2) ) ),
inference(flattening,[],[f61]) ).
fof(f63,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ? [X3] :
( ( ( X0 != X3
& ~ aElementOf0(X3,X1) )
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( ( X0 = X3
| aElementOf0(X3,X1) )
& aElement0(X3) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| ( X0 != X4
& ~ aElementOf0(X4,X1) )
| ~ aElement0(X4) )
& ( ( ( X0 = X4
| aElementOf0(X4,X1) )
& aElement0(X4) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| ~ sP0(X0,X1,X2) ) ),
inference(rectify,[],[f62]) ).
fof(f64,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ( X0 != X3
& ~ aElementOf0(X3,X1) )
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( ( X0 = X3
| aElementOf0(X3,X1) )
& aElement0(X3) )
| aElementOf0(X3,X2) ) )
=> ( ( ( sK6(X0,X1,X2) != X0
& ~ aElementOf0(sK6(X0,X1,X2),X1) )
| ~ aElement0(sK6(X0,X1,X2))
| ~ aElementOf0(sK6(X0,X1,X2),X2) )
& ( ( ( sK6(X0,X1,X2) = X0
| aElementOf0(sK6(X0,X1,X2),X1) )
& aElement0(sK6(X0,X1,X2)) )
| aElementOf0(sK6(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f65,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ( ( ( sK6(X0,X1,X2) != X0
& ~ aElementOf0(sK6(X0,X1,X2),X1) )
| ~ aElement0(sK6(X0,X1,X2))
| ~ aElementOf0(sK6(X0,X1,X2),X2) )
& ( ( ( sK6(X0,X1,X2) = X0
| aElementOf0(sK6(X0,X1,X2),X1) )
& aElement0(sK6(X0,X1,X2)) )
| aElementOf0(sK6(X0,X1,X2),X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| ( X0 != X4
& ~ aElementOf0(X4,X1) )
| ~ aElement0(X4) )
& ( ( ( X0 = X4
| aElementOf0(X4,X1) )
& aElement0(X4) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| ~ sP0(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f63,f64]) ).
fof(f66,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtmndt0(X0,X1) = X2
| ~ sP2(X1,X0,X2) )
& ( sP2(X1,X0,X2)
| sdtmndt0(X0,X1) != X2 ) )
| ~ sP3(X0,X1) ),
inference(nnf_transformation,[],[f48]) ).
fof(f67,plain,
! [X1,X0,X2] :
( ( sP2(X1,X0,X2)
| ? [X3] :
( ( X1 = X3
| ~ aElementOf0(X3,X0)
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| X1 = X3
| ~ aElementOf0(X3,X0)
| ~ aElement0(X3) )
& ( ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP2(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f47]) ).
fof(f68,plain,
! [X1,X0,X2] :
( ( sP2(X1,X0,X2)
| ? [X3] :
( ( X1 = X3
| ~ aElementOf0(X3,X0)
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| X1 = X3
| ~ aElementOf0(X3,X0)
| ~ aElement0(X3) )
& ( ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP2(X1,X0,X2) ) ),
inference(flattening,[],[f67]) ).
fof(f69,plain,
! [X0,X1,X2] :
( ( sP2(X0,X1,X2)
| ? [X3] :
( ( X0 = X3
| ~ aElementOf0(X3,X1)
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( X0 != X3
& aElementOf0(X3,X1)
& aElement0(X3) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| X0 = X4
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4) )
& ( ( X0 != X4
& aElementOf0(X4,X1)
& aElement0(X4) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| ~ sP2(X0,X1,X2) ) ),
inference(rectify,[],[f68]) ).
fof(f70,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( X0 = X3
| ~ aElementOf0(X3,X1)
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( X0 != X3
& aElementOf0(X3,X1)
& aElement0(X3) )
| aElementOf0(X3,X2) ) )
=> ( ( sK7(X0,X1,X2) = X0
| ~ aElementOf0(sK7(X0,X1,X2),X1)
| ~ aElement0(sK7(X0,X1,X2))
| ~ aElementOf0(sK7(X0,X1,X2),X2) )
& ( ( sK7(X0,X1,X2) != X0
& aElementOf0(sK7(X0,X1,X2),X1)
& aElement0(sK7(X0,X1,X2)) )
| aElementOf0(sK7(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f71,plain,
! [X0,X1,X2] :
( ( sP2(X0,X1,X2)
| ( ( sK7(X0,X1,X2) = X0
| ~ aElementOf0(sK7(X0,X1,X2),X1)
| ~ aElement0(sK7(X0,X1,X2))
| ~ aElementOf0(sK7(X0,X1,X2),X2) )
& ( ( sK7(X0,X1,X2) != X0
& aElementOf0(sK7(X0,X1,X2),X1)
& aElement0(sK7(X0,X1,X2)) )
| aElementOf0(sK7(X0,X1,X2),X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| X0 = X4
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4) )
& ( ( X0 != X4
& aElementOf0(X4,X1)
& aElement0(X4) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| ~ sP2(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f69,f70]) ).
fof(f72,plain,
! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f73,plain,
! [X0] :
( aSet0(X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f54]) ).
fof(f74,plain,
! [X2,X0] :
( ~ aElementOf0(X2,X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f54]) ).
fof(f77,plain,
! [X0,X1] :
( aSet0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f82,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f83,plain,
! [X0,X1] :
( X0 = X1
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f85,plain,
! [X2,X0,X1] :
( sP0(X1,X0,X2)
| sdtpldt0(X0,X1) != X2
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f60]) ).
fof(f87,plain,
! [X2,X0,X1] :
( aSet0(X2)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f65]) ).
fof(f89,plain,
! [X2,X0,X1,X4] :
( X0 = X4
| aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f65]) ).
fof(f90,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f65]) ).
fof(f91,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| X0 != X4
| ~ aElement0(X4)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f65]) ).
fof(f96,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f98,plain,
! [X2,X0,X1] :
( sdtmndt0(X0,X1) = X2
| ~ sP2(X1,X0,X2)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f66]) ).
fof(f105,plain,
! [X2,X0,X1] :
( sP2(X0,X1,X2)
| aElementOf0(sK7(X0,X1,X2),X1)
| aElementOf0(sK7(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f71]) ).
fof(f106,plain,
! [X2,X0,X1] :
( sP2(X0,X1,X2)
| sK7(X0,X1,X2) != X0
| aElementOf0(sK7(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f71]) ).
fof(f107,plain,
! [X2,X0,X1] :
( sP2(X0,X1,X2)
| sK7(X0,X1,X2) = X0
| ~ aElementOf0(sK7(X0,X1,X2),X1)
| ~ aElement0(sK7(X0,X1,X2))
| ~ aElementOf0(sK7(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f71]) ).
fof(f108,plain,
! [X0,X1] :
( sP3(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f110,plain,
aElement0(xx),
inference(cnf_transformation,[],[f18]) ).
fof(f111,plain,
aSet0(xS),
inference(cnf_transformation,[],[f18]) ).
fof(f112,plain,
~ aElementOf0(xx,xS),
inference(cnf_transformation,[],[f19]) ).
fof(f113,plain,
xS != sdtmndt0(sdtpldt0(xS,xx),xx),
inference(cnf_transformation,[],[f26]) ).
fof(f114,plain,
! [X2] : ~ aElementOf0(X2,slcrc0),
inference(equality_resolution,[],[f74]) ).
fof(f115,plain,
aSet0(slcrc0),
inference(equality_resolution,[],[f73]) ).
fof(f116,plain,
! [X0,X1] :
( sP0(X1,X0,sdtpldt0(X0,X1))
| ~ sP1(X0,X1) ),
inference(equality_resolution,[],[f85]) ).
fof(f117,plain,
! [X2,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElement0(X4)
| ~ sP0(X4,X1,X2) ),
inference(equality_resolution,[],[f91]) ).
cnf(c_49,plain,
( ~ aElementOf0(X0,X1)
| ~ aSet0(X1)
| aElement0(X0) ),
inference(cnf_transformation,[],[f72]) ).
cnf(c_51,plain,
~ aElementOf0(X0,slcrc0),
inference(cnf_transformation,[],[f114]) ).
cnf(c_52,plain,
aSet0(slcrc0),
inference(cnf_transformation,[],[f115]) ).
cnf(c_57,plain,
( ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| aSet0(X0) ),
inference(cnf_transformation,[],[f77]) ).
cnf(c_59,plain,
( ~ aSet0(X0)
| aSubsetOf0(X0,X0) ),
inference(cnf_transformation,[],[f82]) ).
cnf(c_60,plain,
( ~ aSubsetOf0(X0,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0)
| ~ aSet0(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f83]) ).
cnf(c_63,plain,
( ~ sP1(X0,X1)
| sP0(X1,X0,sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f116]) ).
cnf(c_68,plain,
( ~ sP0(X0,X1,X2)
| ~ aElement0(X0)
| aElementOf0(X0,X2) ),
inference(cnf_transformation,[],[f117]) ).
cnf(c_69,plain,
( ~ sP0(X0,X1,X2)
| ~ aElementOf0(X3,X1)
| ~ aElement0(X3)
| aElementOf0(X3,X2) ),
inference(cnf_transformation,[],[f90]) ).
cnf(c_70,plain,
( ~ sP0(X0,X1,X2)
| ~ aElementOf0(X3,X2)
| X0 = X3
| aElementOf0(X3,X1) ),
inference(cnf_transformation,[],[f89]) ).
cnf(c_72,plain,
( ~ sP0(X0,X1,X2)
| aSet0(X2) ),
inference(cnf_transformation,[],[f87]) ).
cnf(c_73,plain,
( ~ aElement0(X0)
| ~ aSet0(X1)
| sP1(X1,X0) ),
inference(cnf_transformation,[],[f96]) ).
cnf(c_74,plain,
( ~ sP2(X0,X1,X2)
| ~ sP3(X1,X0)
| sdtmndt0(X1,X0) = X2 ),
inference(cnf_transformation,[],[f98]) ).
cnf(c_76,plain,
( ~ aElementOf0(sK7(X0,X1,X2),X1)
| ~ aElementOf0(sK7(X0,X1,X2),X2)
| ~ aElement0(sK7(X0,X1,X2))
| ~ aSet0(X2)
| sK7(X0,X1,X2) = X0
| sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f107]) ).
cnf(c_77,plain,
( sK7(X0,X1,X2) != X0
| ~ aSet0(X2)
| aElementOf0(sK7(X0,X1,X2),X2)
| sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f106]) ).
cnf(c_78,plain,
( ~ aSet0(X0)
| aElementOf0(sK7(X1,X2,X0),X0)
| aElementOf0(sK7(X1,X2,X0),X2)
| sP2(X1,X2,X0) ),
inference(cnf_transformation,[],[f105]) ).
cnf(c_85,plain,
( ~ aElement0(X0)
| ~ aSet0(X1)
| sP3(X1,X0) ),
inference(cnf_transformation,[],[f108]) ).
cnf(c_87,plain,
aSet0(xS),
inference(cnf_transformation,[],[f111]) ).
cnf(c_88,plain,
aElement0(xx),
inference(cnf_transformation,[],[f110]) ).
cnf(c_89,plain,
~ aElementOf0(xx,xS),
inference(cnf_transformation,[],[f112]) ).
cnf(c_90,negated_conjecture,
sdtmndt0(sdtpldt0(xS,xx),xx) != xS,
inference(cnf_transformation,[],[f113]) ).
cnf(c_108,plain,
( ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| X0 = X1 ),
inference(global_subsumption_just,[status(thm)],[c_60,c_57,c_60]) ).
cnf(c_109,plain,
( ~ aSubsetOf0(X0,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| X0 = X1 ),
inference(renaming,[status(thm)],[c_108]) ).
cnf(c_158,plain,
( ~ aElementOf0(sK7(X0,X1,X2),X1)
| ~ aElementOf0(sK7(X0,X1,X2),X2)
| ~ aSet0(X2)
| sK7(X0,X1,X2) = X0
| sP2(X0,X1,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_76,c_49]) ).
cnf(c_398,plain,
( X0 != X1
| X2 != X3
| ~ aElement0(X0)
| ~ aSet0(X2)
| sP0(X1,X3,sdtpldt0(X3,X1)) ),
inference(resolution_lifted,[status(thm)],[c_73,c_63]) ).
cnf(c_399,plain,
( ~ aElement0(X0)
| ~ aSet0(X1)
| sP0(X0,X1,sdtpldt0(X1,X0)) ),
inference(unflattening,[status(thm)],[c_398]) ).
cnf(c_417,plain,
( X0 != X1
| X2 != X3
| ~ sP2(X1,X3,X4)
| ~ aElement0(X0)
| ~ aSet0(X2)
| sdtmndt0(X3,X1) = X4 ),
inference(resolution_lifted,[status(thm)],[c_85,c_74]) ).
cnf(c_418,plain,
( ~ sP2(X0,X1,X2)
| ~ aElement0(X0)
| ~ aSet0(X1)
| sdtmndt0(X1,X0) = X2 ),
inference(unflattening,[status(thm)],[c_417]) ).
cnf(c_1164,plain,
( sdtpldt0(X3,X1) != X4
| X0 != X1
| X2 != X3
| ~ aElementOf0(X5,X2)
| ~ aElement0(X1)
| ~ aElement0(X5)
| ~ aSet0(X3)
| aElementOf0(X5,X4) ),
inference(resolution_lifted,[status(thm)],[c_69,c_399]) ).
cnf(c_1165,plain,
( ~ aElementOf0(X0,X1)
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aSet0(X1)
| aElementOf0(X0,sdtpldt0(X1,X2)) ),
inference(unflattening,[status(thm)],[c_1164]) ).
cnf(c_1166,plain,
( ~ aElementOf0(X0,X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| aElementOf0(X0,sdtpldt0(X1,X2)) ),
inference(global_subsumption_just,[status(thm)],[c_1165,c_49,c_1165]) ).
cnf(c_1994,plain,
( X0 != xx
| ~ aSet0(X1)
| sP0(X0,X1,sdtpldt0(X1,X0)) ),
inference(resolution_lifted,[status(thm)],[c_399,c_88]) ).
cnf(c_1995,plain,
( ~ aSet0(X0)
| sP0(xx,X0,sdtpldt0(X0,xx)) ),
inference(unflattening,[status(thm)],[c_1994]) ).
cnf(c_1996,plain,
( ~ aSet0(slcrc0)
| sP0(xx,slcrc0,sdtpldt0(slcrc0,xx)) ),
inference(instantiation,[status(thm)],[c_1995]) ).
cnf(c_4379,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_4381,plain,
( X0 != X1
| X2 != X3
| ~ aElementOf0(X1,X3)
| aElementOf0(X0,X2) ),
theory(equality) ).
cnf(c_4983,plain,
( ~ sP2(xx,X0,X1)
| ~ aSet0(X0)
| ~ aElement0(xx)
| sdtmndt0(X0,xx) = X1 ),
inference(instantiation,[status(thm)],[c_418]) ).
cnf(c_4984,plain,
( ~ sP0(xx,X0,X1)
| ~ aElement0(xx)
| aElementOf0(xx,X1) ),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_4992,plain,
( ~ aSubsetOf0(X0,xS)
| ~ aSubsetOf0(xS,X0)
| ~ aSet0(X0)
| xS = X0 ),
inference(instantiation,[status(thm)],[c_109]) ).
cnf(c_5007,plain,
( ~ sP0(xx,X0,sdtpldt0(X0,xx))
| ~ aElement0(xx)
| aElementOf0(xx,sdtpldt0(X0,xx)) ),
inference(instantiation,[status(thm)],[c_4984]) ).
cnf(c_5008,plain,
( ~ sP0(xx,slcrc0,sdtpldt0(slcrc0,xx))
| ~ aElement0(xx)
| aElementOf0(xx,sdtpldt0(slcrc0,xx)) ),
inference(instantiation,[status(thm)],[c_5007]) ).
cnf(c_5040,plain,
( ~ aSubsetOf0(xS,xS)
| ~ aSet0(xS)
| xS = xS ),
inference(instantiation,[status(thm)],[c_4992]) ).
cnf(c_5098,plain,
( ~ sP2(xx,sdtpldt0(xS,xx),xS)
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aElement0(xx)
| sdtmndt0(sdtpldt0(xS,xx),xx) = xS ),
inference(instantiation,[status(thm)],[c_4983]) ).
cnf(c_5117,plain,
( ~ aSet0(xS)
| aSubsetOf0(xS,xS) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_5210,plain,
~ aElementOf0(xx,slcrc0),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_5361,plain,
( ~ aSet0(X0)
| ~ aElement0(xx)
| sP0(xx,X0,sdtpldt0(X0,xx)) ),
inference(instantiation,[status(thm)],[c_399]) ).
cnf(c_5387,plain,
( ~ sP0(X0,X1,sdtpldt0(xS,xx))
| aSet0(sdtpldt0(xS,xx)) ),
inference(instantiation,[status(thm)],[c_72]) ).
cnf(c_5432,plain,
( ~ sP0(X0,X1,sdtpldt0(X2,xx))
| ~ aElementOf0(xx,sdtpldt0(X2,xx))
| X0 = xx
| aElementOf0(xx,X1) ),
inference(instantiation,[status(thm)],[c_70]) ).
cnf(c_5505,plain,
( ~ sP0(xx,xS,sdtpldt0(xS,xx))
| aSet0(sdtpldt0(xS,xx)) ),
inference(instantiation,[status(thm)],[c_5387]) ).
cnf(c_5660,plain,
( ~ sP0(xx,X0,sdtpldt0(X0,xx))
| ~ aElementOf0(xx,sdtpldt0(X0,xx))
| xx = xx
| aElementOf0(xx,X0) ),
inference(instantiation,[status(thm)],[c_5432]) ).
cnf(c_5661,plain,
( ~ sP0(xx,slcrc0,sdtpldt0(slcrc0,xx))
| ~ aElementOf0(xx,sdtpldt0(slcrc0,xx))
| xx = xx
| aElementOf0(xx,slcrc0) ),
inference(instantiation,[status(thm)],[c_5660]) ).
cnf(c_5737,plain,
( ~ aElement0(xx)
| ~ aSet0(xS)
| sP0(xx,xS,sdtpldt0(xS,xx)) ),
inference(instantiation,[status(thm)],[c_5361]) ).
cnf(c_6039,plain,
( ~ aElementOf0(X0,X1)
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aSet0(X1)
| aElementOf0(X0,sdtpldt0(X1,X2)) ),
inference(superposition,[status(thm)],[c_399,c_69]) ).
cnf(c_6057,plain,
( ~ aElementOf0(X0,sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aSet0(X1)
| X0 = X2
| aElementOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_399,c_70]) ).
cnf(c_7209,plain,
( ~ aElementOf0(X0,X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| aElementOf0(X0,sdtpldt0(X1,X2)) ),
inference(global_subsumption_just,[status(thm)],[c_6039,c_1166]) ).
cnf(c_7216,plain,
( ~ aElementOf0(sK7(X0,sdtpldt0(X1,X2),X3),X1)
| ~ aElementOf0(sK7(X0,sdtpldt0(X1,X2),X3),X3)
| ~ aElement0(X2)
| ~ aSet0(X1)
| ~ aSet0(X3)
| sK7(X0,sdtpldt0(X1,X2),X3) = X0
| sP2(X0,sdtpldt0(X1,X2),X3) ),
inference(superposition,[status(thm)],[c_7209,c_158]) ).
cnf(c_9385,plain,
( ~ aElementOf0(X0,sdtpldt0(X1,xx))
| ~ aSet0(X1)
| ~ aElement0(xx)
| X0 = xx
| aElementOf0(X0,X1) ),
inference(instantiation,[status(thm)],[c_6057]) ).
cnf(c_9782,plain,
( sK7(xx,sdtpldt0(xS,xx),xS) != xx
| ~ aSet0(xS)
| aElementOf0(sK7(xx,sdtpldt0(xS,xx),xS),xS)
| sP2(xx,sdtpldt0(xS,xx),xS) ),
inference(instantiation,[status(thm)],[c_77]) ).
cnf(c_9783,plain,
( ~ aSet0(xS)
| aElementOf0(sK7(xx,sdtpldt0(xS,xx),xS),sdtpldt0(xS,xx))
| aElementOf0(sK7(xx,sdtpldt0(xS,xx),xS),xS)
| sP2(xx,sdtpldt0(xS,xx),xS) ),
inference(instantiation,[status(thm)],[c_78]) ).
cnf(c_26456,plain,
( ~ aElementOf0(sK7(xx,sdtpldt0(xS,xx),xS),sdtpldt0(xS,xx))
| ~ aElement0(xx)
| ~ aSet0(xS)
| sK7(xx,sdtpldt0(xS,xx),xS) = xx
| aElementOf0(sK7(xx,sdtpldt0(xS,xx),xS),xS) ),
inference(instantiation,[status(thm)],[c_9385]) ).
cnf(c_42571,plain,
( sK7(X0,sdtpldt0(X1,xx),X2) != X3
| X4 != X3
| X4 = sK7(X0,sdtpldt0(X1,xx),X2) ),
inference(instantiation,[status(thm)],[c_4379]) ).
cnf(c_43776,plain,
( X0 != sK7(xx,sdtpldt0(xS,xx),xS)
| X1 != xS
| ~ aElementOf0(sK7(xx,sdtpldt0(xS,xx),xS),xS)
| aElementOf0(X0,X1) ),
inference(instantiation,[status(thm)],[c_4381]) ).
cnf(c_43781,plain,
( ~ aElementOf0(sK7(xx,sdtpldt0(xS,xx),xS),xS)
| ~ aElement0(xx)
| ~ aSet0(xS)
| sK7(xx,sdtpldt0(xS,xx),xS) = xx
| sP2(xx,sdtpldt0(xS,xx),xS) ),
inference(instantiation,[status(thm)],[c_7216]) ).
cnf(c_46520,plain,
( sK7(xx,sdtpldt0(xS,xx),xS) != xx
| X0 != xx
| X0 = sK7(xx,sdtpldt0(xS,xx),xS) ),
inference(instantiation,[status(thm)],[c_42571]) ).
cnf(c_50734,plain,
( sK7(xx,sdtpldt0(xS,xx),xS) != xx
| xx != xx
| xx = sK7(xx,sdtpldt0(xS,xx),xS) ),
inference(instantiation,[status(thm)],[c_46520]) ).
cnf(c_50761,plain,
( X0 != sK7(xx,sdtpldt0(xS,xx),xS)
| xS != xS
| ~ aElementOf0(sK7(xx,sdtpldt0(xS,xx),xS),xS)
| aElementOf0(X0,xS) ),
inference(instantiation,[status(thm)],[c_43776]) ).
cnf(c_54851,plain,
( xS != xS
| xx != sK7(xx,sdtpldt0(xS,xx),xS)
| ~ aElementOf0(sK7(xx,sdtpldt0(xS,xx),xS),xS)
| aElementOf0(xx,xS) ),
inference(instantiation,[status(thm)],[c_50761]) ).
cnf(c_54852,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_54851,c_50734,c_43781,c_26456,c_9783,c_9782,c_5737,c_5661,c_5505,c_5210,c_5117,c_5098,c_5040,c_5008,c_1996,c_90,c_89,c_52,c_87,c_88]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM536+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n019.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 : Fri Aug 25 15:04:44 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 37.72/5.77 % SZS status Started for theBenchmark.p
% 37.72/5.77 % SZS status Theorem for theBenchmark.p
% 37.72/5.77
% 37.72/5.77 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 37.72/5.77
% 37.72/5.77 ------ iProver source info
% 37.72/5.77
% 37.72/5.77 git: date: 2023-05-31 18:12:56 +0000
% 37.72/5.77 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 37.72/5.77 git: non_committed_changes: false
% 37.72/5.77 git: last_make_outside_of_git: false
% 37.72/5.77
% 37.72/5.77 ------ Parsing...
% 37.72/5.77 ------ Clausification by vclausify_rel & Parsing by iProver...
% 37.72/5.77
% 37.72/5.77 ------ Preprocessing... sup_sim: 0 sf_s rm: 4 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e
% 37.72/5.77
% 37.72/5.77 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 37.72/5.77
% 37.72/5.77 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 37.72/5.77 ------ Proving...
% 37.72/5.77 ------ Problem Properties
% 37.72/5.77
% 37.72/5.77
% 37.72/5.77 clauses 38
% 37.72/5.77 conjectures 1
% 37.72/5.77 EPR 21
% 37.72/5.77 Horn 28
% 37.72/5.77 unary 6
% 37.72/5.77 binary 4
% 37.72/5.77 lits 118
% 37.72/5.77 lits eq 12
% 37.72/5.77 fd_pure 0
% 37.72/5.77 fd_pseudo 0
% 37.72/5.77 fd_cond 1
% 37.72/5.77 fd_pseudo_cond 5
% 37.72/5.77 AC symbols 0
% 37.72/5.77
% 37.72/5.77 ------ Input Options Time Limit: Unbounded
% 37.72/5.77
% 37.72/5.77
% 37.72/5.77 ------
% 37.72/5.77 Current options:
% 37.72/5.77 ------
% 37.72/5.77
% 37.72/5.77
% 37.72/5.77
% 37.72/5.77
% 37.72/5.77 ------ Proving...
% 37.72/5.77
% 37.72/5.77
% 37.72/5.77 % SZS status Theorem for theBenchmark.p
% 37.72/5.77
% 37.72/5.77 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 37.72/5.77
% 37.72/5.78
%------------------------------------------------------------------------------