TSTP Solution File: NUM541+2 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : NUM541+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n010.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 11:31:18 EDT 2023
% Result : Theorem 3.36s 1.16s
% Output : CNFRefutation 3.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 11
% Syntax : Number of formulae : 90 ( 10 unt; 0 def)
% Number of atoms : 326 ( 46 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 413 ( 177 ~; 178 |; 42 &)
% ( 3 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 76 ( 0 sgn; 49 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f25,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( sz00 != szszuzczcdt0(X0)
& aElementOf0(szszuzczcdt0(X0),szNzAzT0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccNum) ).
fof(f32,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( sdtlseqdt0(X0,X1)
<=> sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccLess) ).
fof(f33,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sdtlseqdt0(X0,szszuzczcdt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessSucc) ).
fof(f34,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessRefl) ).
fof(f35,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessASymm) ).
fof(f36,axiom,
! [X0,X1,X2] :
( ( aElementOf0(X2,szNzAzT0)
& aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessTrans) ).
fof(f37,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessTotal) ).
fof(f53,axiom,
( aElementOf0(xn,szNzAzT0)
& aElementOf0(xm,szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1936) ).
fof(f54,conjecture,
( ( ( xm = xn
| ( aElementOf0(xm,slbdtrb0(xn))
& sdtlseqdt0(szszuzczcdt0(xm),xn) ) )
=> ( aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))
| sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn)) ) )
& ( ( aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))
& sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn)) )
=> ( xm = xn
| aElementOf0(xm,slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(xm),xn) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f55,negated_conjecture,
~ ( ( ( xm = xn
| ( aElementOf0(xm,slbdtrb0(xn))
& sdtlseqdt0(szszuzczcdt0(xm),xn) ) )
=> ( aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))
| sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn)) ) )
& ( ( aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))
& sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn)) )
=> ( xm = xn
| aElementOf0(xm,slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(xm),xn) ) ) ),
inference(negated_conjecture,[],[f54]) ).
fof(f92,plain,
! [X0] :
( ( sz00 != szszuzczcdt0(X0)
& aElementOf0(szszuzczcdt0(X0),szNzAzT0) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f100,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f101,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f100]) ).
fof(f102,plain,
! [X0] :
( sdtlseqdt0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f103,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f104,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f105,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f104]) ).
fof(f106,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f107,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f106]) ).
fof(f108,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f109,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f108]) ).
fof(f129,plain,
( ( ~ aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))
& ~ sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn))
& ( xm = xn
| ( aElementOf0(xm,slbdtrb0(xn))
& sdtlseqdt0(szszuzczcdt0(xm),xn) ) ) )
| ( xm != xn
& ~ aElementOf0(xm,slbdtrb0(xn))
& ~ sdtlseqdt0(szszuzczcdt0(xm),xn)
& aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))
& sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn)) ) ),
inference(ennf_transformation,[],[f55]) ).
fof(f130,plain,
( ( ~ aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))
& ~ sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn))
& ( xm = xn
| ( aElementOf0(xm,slbdtrb0(xn))
& sdtlseqdt0(szszuzczcdt0(xm),xn) ) ) )
| ( xm != xn
& ~ aElementOf0(xm,slbdtrb0(xn))
& ~ sdtlseqdt0(szszuzczcdt0(xm),xn)
& aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))
& sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn)) ) ),
inference(flattening,[],[f129]) ).
fof(f137,plain,
( ( xm != xn
& ~ aElementOf0(xm,slbdtrb0(xn))
& ~ sdtlseqdt0(szszuzczcdt0(xm),xn)
& aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))
& sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn)) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f138,plain,
( ( ~ aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))
& ~ sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn))
& ( xm = xn
| ( aElementOf0(xm,slbdtrb0(xn))
& sdtlseqdt0(szszuzczcdt0(xm),xn) ) ) )
| sP4 ),
inference(definition_folding,[],[f130,f137]) ).
fof(f163,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) )
& ( sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(nnf_transformation,[],[f101]) ).
fof(f183,plain,
( ( xm != xn
& ~ aElementOf0(xm,slbdtrb0(xn))
& ~ sdtlseqdt0(szszuzczcdt0(xm),xn)
& aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))
& sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn)) )
| ~ sP4 ),
inference(nnf_transformation,[],[f137]) ).
fof(f232,plain,
! [X0] :
( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f240,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f163]) ).
fof(f241,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f163]) ).
fof(f242,plain,
! [X0] :
( sdtlseqdt0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f243,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f244,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f245,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f246,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f275,plain,
aElementOf0(xm,szNzAzT0),
inference(cnf_transformation,[],[f53]) ).
fof(f276,plain,
aElementOf0(xn,szNzAzT0),
inference(cnf_transformation,[],[f53]) ).
fof(f277,plain,
( sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn))
| ~ sP4 ),
inference(cnf_transformation,[],[f183]) ).
fof(f279,plain,
( ~ sdtlseqdt0(szszuzczcdt0(xm),xn)
| ~ sP4 ),
inference(cnf_transformation,[],[f183]) ).
fof(f281,plain,
( xm != xn
| ~ sP4 ),
inference(cnf_transformation,[],[f183]) ).
fof(f282,plain,
( xm = xn
| sdtlseqdt0(szszuzczcdt0(xm),xn)
| sP4 ),
inference(cnf_transformation,[],[f138]) ).
fof(f284,plain,
( ~ sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn))
| sP4 ),
inference(cnf_transformation,[],[f138]) ).
cnf(c_98,plain,
( ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(szszuzczcdt0(X0),szNzAzT0) ),
inference(cnf_transformation,[],[f232]) ).
cnf(c_105,plain,
( ~ sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f241]) ).
cnf(c_106,plain,
( ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) ),
inference(cnf_transformation,[],[f240]) ).
cnf(c_107,plain,
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,szszuzczcdt0(X0)) ),
inference(cnf_transformation,[],[f242]) ).
cnf(c_108,plain,
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,X0) ),
inference(cnf_transformation,[],[f243]) ).
cnf(c_109,plain,
( ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| X0 = X1 ),
inference(cnf_transformation,[],[f244]) ).
cnf(c_110,plain,
( ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X2,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| sdtlseqdt0(X2,X1) ),
inference(cnf_transformation,[],[f245]) ).
cnf(c_111,plain,
( ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X0),X1)
| sdtlseqdt0(X1,X0) ),
inference(cnf_transformation,[],[f246]) ).
cnf(c_140,plain,
aElementOf0(xn,szNzAzT0),
inference(cnf_transformation,[],[f276]) ).
cnf(c_141,plain,
aElementOf0(xm,szNzAzT0),
inference(cnf_transformation,[],[f275]) ).
cnf(c_142,plain,
( xn != xm
| ~ sP4 ),
inference(cnf_transformation,[],[f281]) ).
cnf(c_144,plain,
( ~ sdtlseqdt0(szszuzczcdt0(xm),xn)
| ~ sP4 ),
inference(cnf_transformation,[],[f279]) ).
cnf(c_146,plain,
( ~ sP4
| sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn)) ),
inference(cnf_transformation,[],[f277]) ).
cnf(c_148,negated_conjecture,
( ~ sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn))
| sP4 ),
inference(cnf_transformation,[],[f284]) ).
cnf(c_150,negated_conjecture,
( xn = xm
| sdtlseqdt0(szszuzczcdt0(xm),xn)
| sP4 ),
inference(cnf_transformation,[],[f282]) ).
cnf(c_226,plain,
( sP4
| ~ sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn)) ),
inference(prop_impl_just,[status(thm)],[c_148]) ).
cnf(c_227,plain,
( ~ sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn))
| sP4 ),
inference(renaming,[status(thm)],[c_226]) ).
cnf(c_228,plain,
( ~ sP4
| sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn)) ),
inference(prop_impl_just,[status(thm)],[c_146]) ).
cnf(c_274,plain,
( ~ sP4
| xn != xm ),
inference(prop_impl_just,[status(thm)],[c_142]) ).
cnf(c_275,plain,
( xn != xm
| ~ sP4 ),
inference(renaming,[status(thm)],[c_274]) ).
cnf(c_1855,plain,
( xn = xm
| sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn))
| sdtlseqdt0(szszuzczcdt0(xm),xn) ),
inference(resolution,[status(thm)],[c_150,c_228]) ).
cnf(c_1941,plain,
( xn != xm
| ~ sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn)) ),
inference(resolution,[status(thm)],[c_227,c_275]) ).
cnf(c_9066,plain,
( X0 != X1
| szszuzczcdt0(X0) = szszuzczcdt0(X1) ),
theory(equality) ).
cnf(c_11164,plain,
sdtlseqdt0(xn,xn),
inference(superposition,[status(thm)],[c_140,c_108]) ).
cnf(c_11222,plain,
( ~ aElementOf0(xn,szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0)
| ~ sP4
| sdtlseqdt0(xn,xm) ),
inference(superposition,[status(thm)],[c_111,c_144]) ).
cnf(c_11246,plain,
( ~ aElementOf0(xn,szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0)
| ~ sdtlseqdt0(xm,xn)
| sP4 ),
inference(superposition,[status(thm)],[c_106,c_148]) ).
cnf(c_11259,plain,
( ~ aElementOf0(xn,szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0)
| ~ sP4
| sdtlseqdt0(xm,xn) ),
inference(superposition,[status(thm)],[c_146,c_105]) ).
cnf(c_11279,plain,
( ~ sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| szszuzczcdt0(X0) = szszuzczcdt0(X1) ),
inference(superposition,[status(thm)],[c_106,c_109]) ).
cnf(c_11282,plain,
( ~ aElementOf0(szszuzczcdt0(xm),szNzAzT0)
| ~ sdtlseqdt0(xn,szszuzczcdt0(xm))
| ~ aElementOf0(xn,szNzAzT0)
| szszuzczcdt0(xm) = xn
| xn = xm
| sP4 ),
inference(superposition,[status(thm)],[c_150,c_109]) ).
cnf(c_11298,plain,
( ~ sdtlseqdt0(X0,szszuzczcdt0(X1))
| ~ sdtlseqdt0(X2,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| sdtlseqdt0(X2,szszuzczcdt0(X1)) ),
inference(superposition,[status(thm)],[c_98,c_110]) ).
cnf(c_11319,plain,
( ~ sP4
| sdtlseqdt0(xn,xm) ),
inference(global_subsumption_just,[status(thm)],[c_11222,c_141,c_140,c_11222]) ).
cnf(c_11325,plain,
( ~ aElementOf0(xn,szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0)
| ~ sdtlseqdt0(xm,xn)
| ~ sP4
| xn = xm ),
inference(superposition,[status(thm)],[c_11319,c_109]) ).
cnf(c_11326,negated_conjecture,
~ sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn)),
inference(global_subsumption_just,[status(thm)],[c_148,c_141,c_140,c_148,c_1941,c_11259,c_11325]) ).
cnf(c_11379,plain,
~ sdtlseqdt0(xm,xn),
inference(global_subsumption_just,[status(thm)],[c_11246,c_141,c_140,c_148,c_146,c_1941,c_11246,c_11259,c_11325]) ).
cnf(c_11416,plain,
( xn = xm
| szszuzczcdt0(xm) = xn
| ~ aElementOf0(szszuzczcdt0(xm),szNzAzT0)
| ~ sdtlseqdt0(xn,szszuzczcdt0(xm)) ),
inference(global_subsumption_just,[status(thm)],[c_11282,c_140,c_146,c_11282,c_11326]) ).
cnf(c_11417,plain,
( ~ aElementOf0(szszuzczcdt0(xm),szNzAzT0)
| ~ sdtlseqdt0(xn,szszuzczcdt0(xm))
| szszuzczcdt0(xm) = xn
| xn = xm ),
inference(renaming,[status(thm)],[c_11416]) ).
cnf(c_11455,plain,
( ~ sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| szszuzczcdt0(X0) = szszuzczcdt0(X1) ),
inference(global_subsumption_just,[status(thm)],[c_11279,c_105,c_109,c_9066]) ).
cnf(c_11468,plain,
( ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| szszuzczcdt0(X0) = szszuzczcdt0(X1) ),
inference(superposition,[status(thm)],[c_106,c_11455]) ).
cnf(c_11554,plain,
( ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(X0,szszuzczcdt0(X1)) ),
inference(superposition,[status(thm)],[c_107,c_11298]) ).
cnf(c_11764,plain,
( ~ aElementOf0(szszuzczcdt0(xm),szNzAzT0)
| ~ sdtlseqdt0(xn,szszuzczcdt0(xm))
| ~ aElementOf0(xn,szNzAzT0)
| szszuzczcdt0(szszuzczcdt0(xm)) = szszuzczcdt0(xn)
| xn = xm
| sP4 ),
inference(superposition,[status(thm)],[c_150,c_11468]) ).
cnf(c_11908,plain,
( ~ aElementOf0(szszuzczcdt0(xm),szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(xm),xn)
| ~ aElementOf0(xn,szNzAzT0)
| sP4 ),
inference(superposition,[status(thm)],[c_11554,c_148]) ).
cnf(c_11914,plain,
( ~ aElementOf0(szszuzczcdt0(xm),szNzAzT0)
| ~ aElementOf0(xn,szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0)
| ~ sdtlseqdt0(xn,xm)
| szszuzczcdt0(xm) = xn
| xn = xm ),
inference(superposition,[status(thm)],[c_11554,c_11417]) ).
cnf(c_12723,plain,
( xn = xm
| ~ aElementOf0(szszuzczcdt0(xm),szNzAzT0) ),
inference(global_subsumption_just,[status(thm)],[c_11764,c_141,c_140,c_148,c_146,c_1855,c_1941,c_11259,c_11325,c_11908]) ).
cnf(c_12724,plain,
( ~ aElementOf0(szszuzczcdt0(xm),szNzAzT0)
| xn = xm ),
inference(renaming,[status(thm)],[c_12723]) ).
cnf(c_12729,plain,
( ~ aElementOf0(xm,szNzAzT0)
| xn = xm ),
inference(superposition,[status(thm)],[c_98,c_12724]) ).
cnf(c_13733,plain,
xn = xm,
inference(global_subsumption_just,[status(thm)],[c_11914,c_141,c_12729]) ).
cnf(c_13746,plain,
~ sdtlseqdt0(xn,xn),
inference(superposition,[status(thm)],[c_13733,c_11379]) ).
cnf(c_13756,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_11164,c_13746]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM541+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n010.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri Aug 25 17:41:06 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.36/1.16 % SZS status Started for theBenchmark.p
% 3.36/1.16 % SZS status Theorem for theBenchmark.p
% 3.36/1.16
% 3.36/1.16 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.36/1.16
% 3.36/1.16 ------ iProver source info
% 3.36/1.16
% 3.36/1.16 git: date: 2023-05-31 18:12:56 +0000
% 3.36/1.16 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.36/1.16 git: non_committed_changes: false
% 3.36/1.16 git: last_make_outside_of_git: false
% 3.36/1.16
% 3.36/1.16 ------ Parsing...
% 3.36/1.16 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.36/1.16
% 3.36/1.16 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 3.36/1.16
% 3.36/1.16 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.36/1.16
% 3.36/1.16 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.36/1.16 ------ Proving...
% 3.36/1.16 ------ Problem Properties
% 3.36/1.16
% 3.36/1.16
% 3.36/1.16 clauses 100
% 3.36/1.16 conjectures 4
% 3.36/1.16 EPR 32
% 3.36/1.16 Horn 72
% 3.36/1.16 unary 11
% 3.36/1.16 binary 21
% 3.36/1.16 lits 326
% 3.36/1.16 lits eq 48
% 3.36/1.16 fd_pure 0
% 3.36/1.16 fd_pseudo 0
% 3.36/1.16 fd_cond 8
% 3.36/1.16 fd_pseudo_cond 14
% 3.36/1.16 AC symbols 0
% 3.36/1.16
% 3.36/1.16 ------ Input Options Time Limit: Unbounded
% 3.36/1.16
% 3.36/1.16
% 3.36/1.16 ------
% 3.36/1.16 Current options:
% 3.36/1.16 ------
% 3.36/1.16
% 3.36/1.16
% 3.36/1.16
% 3.36/1.16
% 3.36/1.16 ------ Proving...
% 3.36/1.16
% 3.36/1.16
% 3.36/1.16 % SZS status Theorem for theBenchmark.p
% 3.36/1.16
% 3.36/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.36/1.16
% 3.36/1.17
%------------------------------------------------------------------------------