TSTP Solution File: RNG118+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : RNG118+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n014.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 : Fri May 3 02:57:44 EDT 2024
% Result : Theorem 57.79s 8.20s
% Output : CNFRefutation 57.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 17
% Syntax : Number of formulae : 104 ( 17 unt; 0 def)
% Number of atoms : 404 ( 142 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 496 ( 196 ~; 200 |; 79 &)
% ( 3 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 5 con; 0-2 aty)
% Number of variables : 159 ( 0 sgn 77 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aElement0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).
fof(f16,axiom,
! [X0] :
( aElement0(X0)
=> ( sz00 = sdtasdt0(sz00,X0)
& sz00 = sdtasdt0(X0,sz00) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulZero) ).
fof(f17,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> ( sz00 = sdtasdt0(X0,X1)
=> ( sz00 = X1
| sz00 = X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCancel) ).
fof(f20,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
fof(f24,axiom,
! [X0] :
( aIdeal0(X0)
<=> ( ! [X1] :
( aElementOf0(X1,X0)
=> ( ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),X0) )
& ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(sdtpldt0(X1,X2),X0) ) ) )
& aSet0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefIdeal) ).
fof(f32,axiom,
! [X0,X1] :
( ( sz00 != X1
& aElement0(X1)
& aElement0(X0) )
=> ? [X2,X3] :
( ( sz00 != X3
=> iLess0(sbrdtbr0(X3),sbrdtbr0(X1)) )
& sdtpldt0(sdtasdt0(X2,X1),X3) = X0
& aElement0(X3)
& aElement0(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDivision) ).
fof(f39,axiom,
( aElement0(xb)
& aElement0(xa) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2091) ).
fof(f42,axiom,
( xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))
& aIdeal0(xI) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2174) ).
fof(f45,axiom,
( ! [X0] :
( ( sz00 != X0
& aElementOf0(X0,xI) )
=> ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu)) )
& sz00 != xu
& aElementOf0(xu,xI) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2273) ).
fof(f50,conjecture,
? [X0,X1] :
( ( iLess0(sbrdtbr0(X1),sbrdtbr0(xu))
| sz00 = X1 )
& xb = sdtpldt0(sdtasdt0(X0,xu),X1)
& aElement0(X1)
& aElement0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f51,negated_conjecture,
~ ? [X0,X1] :
( ( iLess0(sbrdtbr0(X1),sbrdtbr0(xu))
| sz00 = X1 )
& xb = sdtpldt0(sdtasdt0(X0,xu),X1)
& aElement0(X1)
& aElement0(X0) ),
inference(negated_conjecture,[],[f50]) ).
fof(f55,plain,
! [X0] :
( aIdeal0(X0)
<=> ( ! [X1] :
( aElementOf0(X1,X0)
=> ( ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),X0) )
& ! [X3] :
( aElementOf0(X3,X0)
=> aElementOf0(sdtpldt0(X1,X3),X0) ) ) )
& aSet0(X0) ) ),
inference(rectify,[],[f24]) ).
fof(f79,plain,
! [X0] :
( ( sz00 = sdtasdt0(sz00,X0)
& sz00 = sdtasdt0(X0,sz00) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f80,plain,
! [X0,X1] :
( sz00 = X1
| sz00 = X0
| sz00 != sdtasdt0(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f81,plain,
! [X0,X1] :
( sz00 = X1
| sz00 = X0
| sz00 != sdtasdt0(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f80]) ).
fof(f82,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f89,plain,
! [X0] :
( aIdeal0(X0)
<=> ( ! [X1] :
( ( ! [X2] :
( aElementOf0(sdtasdt0(X2,X1),X0)
| ~ aElement0(X2) )
& ! [X3] :
( aElementOf0(sdtpldt0(X1,X3),X0)
| ~ aElementOf0(X3,X0) ) )
| ~ aElementOf0(X1,X0) )
& aSet0(X0) ) ),
inference(ennf_transformation,[],[f55]) ).
fof(f98,plain,
! [X0,X1] :
( ? [X2,X3] :
( ( iLess0(sbrdtbr0(X3),sbrdtbr0(X1))
| sz00 = X3 )
& sdtpldt0(sdtasdt0(X2,X1),X3) = X0
& aElement0(X3)
& aElement0(X2) )
| sz00 = X1
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f99,plain,
! [X0,X1] :
( ? [X2,X3] :
( ( iLess0(sbrdtbr0(X3),sbrdtbr0(X1))
| sz00 = X3 )
& sdtpldt0(sdtasdt0(X2,X1),X3) = X0
& aElement0(X3)
& aElement0(X2) )
| sz00 = X1
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f98]) ).
fof(f109,plain,
( ! [X0] :
( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
| sz00 = X0
| ~ aElementOf0(X0,xI) )
& sz00 != xu
& aElementOf0(xu,xI) ),
inference(ennf_transformation,[],[f45]) ).
fof(f110,plain,
( ! [X0] :
( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
| sz00 = X0
| ~ aElementOf0(X0,xI) )
& sz00 != xu
& aElementOf0(xu,xI) ),
inference(flattening,[],[f109]) ).
fof(f112,plain,
! [X0,X1] :
( ( ~ iLess0(sbrdtbr0(X1),sbrdtbr0(xu))
& sz00 != X1 )
| xb != sdtpldt0(sdtasdt0(X0,xu),X1)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f132,plain,
! [X0] :
( ( aIdeal0(X0)
| ? [X1] :
( ( ? [X2] :
( ~ aElementOf0(sdtasdt0(X2,X1),X0)
& aElement0(X2) )
| ? [X3] :
( ~ aElementOf0(sdtpldt0(X1,X3),X0)
& aElementOf0(X3,X0) ) )
& aElementOf0(X1,X0) )
| ~ aSet0(X0) )
& ( ( ! [X1] :
( ( ! [X2] :
( aElementOf0(sdtasdt0(X2,X1),X0)
| ~ aElement0(X2) )
& ! [X3] :
( aElementOf0(sdtpldt0(X1,X3),X0)
| ~ aElementOf0(X3,X0) ) )
| ~ aElementOf0(X1,X0) )
& aSet0(X0) )
| ~ aIdeal0(X0) ) ),
inference(nnf_transformation,[],[f89]) ).
fof(f133,plain,
! [X0] :
( ( aIdeal0(X0)
| ? [X1] :
( ( ? [X2] :
( ~ aElementOf0(sdtasdt0(X2,X1),X0)
& aElement0(X2) )
| ? [X3] :
( ~ aElementOf0(sdtpldt0(X1,X3),X0)
& aElementOf0(X3,X0) ) )
& aElementOf0(X1,X0) )
| ~ aSet0(X0) )
& ( ( ! [X1] :
( ( ! [X2] :
( aElementOf0(sdtasdt0(X2,X1),X0)
| ~ aElement0(X2) )
& ! [X3] :
( aElementOf0(sdtpldt0(X1,X3),X0)
| ~ aElementOf0(X3,X0) ) )
| ~ aElementOf0(X1,X0) )
& aSet0(X0) )
| ~ aIdeal0(X0) ) ),
inference(flattening,[],[f132]) ).
fof(f134,plain,
! [X0] :
( ( aIdeal0(X0)
| ? [X1] :
( ( ? [X2] :
( ~ aElementOf0(sdtasdt0(X2,X1),X0)
& aElement0(X2) )
| ? [X3] :
( ~ aElementOf0(sdtpldt0(X1,X3),X0)
& aElementOf0(X3,X0) ) )
& aElementOf0(X1,X0) )
| ~ aSet0(X0) )
& ( ( ! [X4] :
( ( ! [X5] :
( aElementOf0(sdtasdt0(X5,X4),X0)
| ~ aElement0(X5) )
& ! [X6] :
( aElementOf0(sdtpldt0(X4,X6),X0)
| ~ aElementOf0(X6,X0) ) )
| ~ aElementOf0(X4,X0) )
& aSet0(X0) )
| ~ aIdeal0(X0) ) ),
inference(rectify,[],[f133]) ).
fof(f135,plain,
! [X0] :
( ? [X1] :
( ( ? [X2] :
( ~ aElementOf0(sdtasdt0(X2,X1),X0)
& aElement0(X2) )
| ? [X3] :
( ~ aElementOf0(sdtpldt0(X1,X3),X0)
& aElementOf0(X3,X0) ) )
& aElementOf0(X1,X0) )
=> ( ( ? [X2] :
( ~ aElementOf0(sdtasdt0(X2,sK10(X0)),X0)
& aElement0(X2) )
| ? [X3] :
( ~ aElementOf0(sdtpldt0(sK10(X0),X3),X0)
& aElementOf0(X3,X0) ) )
& aElementOf0(sK10(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f136,plain,
! [X0] :
( ? [X2] :
( ~ aElementOf0(sdtasdt0(X2,sK10(X0)),X0)
& aElement0(X2) )
=> ( ~ aElementOf0(sdtasdt0(sK11(X0),sK10(X0)),X0)
& aElement0(sK11(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f137,plain,
! [X0] :
( ? [X3] :
( ~ aElementOf0(sdtpldt0(sK10(X0),X3),X0)
& aElementOf0(X3,X0) )
=> ( ~ aElementOf0(sdtpldt0(sK10(X0),sK12(X0)),X0)
& aElementOf0(sK12(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f138,plain,
! [X0] :
( ( aIdeal0(X0)
| ( ( ( ~ aElementOf0(sdtasdt0(sK11(X0),sK10(X0)),X0)
& aElement0(sK11(X0)) )
| ( ~ aElementOf0(sdtpldt0(sK10(X0),sK12(X0)),X0)
& aElementOf0(sK12(X0),X0) ) )
& aElementOf0(sK10(X0),X0) )
| ~ aSet0(X0) )
& ( ( ! [X4] :
( ( ! [X5] :
( aElementOf0(sdtasdt0(X5,X4),X0)
| ~ aElement0(X5) )
& ! [X6] :
( aElementOf0(sdtpldt0(X4,X6),X0)
| ~ aElementOf0(X6,X0) ) )
| ~ aElementOf0(X4,X0) )
& aSet0(X0) )
| ~ aIdeal0(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12])],[f134,f137,f136,f135]) ).
fof(f144,plain,
! [X0,X1] :
( ? [X2,X3] :
( ( iLess0(sbrdtbr0(X3),sbrdtbr0(X1))
| sz00 = X3 )
& sdtpldt0(sdtasdt0(X2,X1),X3) = X0
& aElement0(X3)
& aElement0(X2) )
=> ( ( iLess0(sbrdtbr0(sK16(X0,X1)),sbrdtbr0(X1))
| sz00 = sK16(X0,X1) )
& sdtpldt0(sdtasdt0(sK15(X0,X1),X1),sK16(X0,X1)) = X0
& aElement0(sK16(X0,X1))
& aElement0(sK15(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f145,plain,
! [X0,X1] :
( ( ( iLess0(sbrdtbr0(sK16(X0,X1)),sbrdtbr0(X1))
| sz00 = sK16(X0,X1) )
& sdtpldt0(sdtasdt0(sK15(X0,X1),X1),sK16(X0,X1)) = X0
& aElement0(sK16(X0,X1))
& aElement0(sK15(X0,X1)) )
| sz00 = X1
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15,sK16])],[f99,f144]) ).
fof(f169,plain,
aElement0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f188,plain,
! [X0] :
( sz00 = sdtasdt0(X0,sz00)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f190,plain,
! [X0,X1] :
( sz00 = X1
| sz00 = X0
| sz00 != sdtasdt0(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f192,plain,
! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f216,plain,
! [X0] :
( aSet0(X0)
| ~ aIdeal0(X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f234,plain,
! [X0,X1] :
( aElement0(sK15(X0,X1))
| sz00 = X1
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f235,plain,
! [X0,X1] :
( aElement0(sK16(X0,X1))
| sz00 = X1
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f236,plain,
! [X0,X1] :
( sdtpldt0(sdtasdt0(sK15(X0,X1),X1),sK16(X0,X1)) = X0
| sz00 = X1
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f237,plain,
! [X0,X1] :
( iLess0(sbrdtbr0(sK16(X0,X1)),sbrdtbr0(X1))
| sz00 = sK16(X0,X1)
| sz00 = X1
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f261,plain,
aElement0(xb),
inference(cnf_transformation,[],[f39]) ).
fof(f264,plain,
aIdeal0(xI),
inference(cnf_transformation,[],[f42]) ).
fof(f272,plain,
aElementOf0(xu,xI),
inference(cnf_transformation,[],[f110]) ).
fof(f273,plain,
sz00 != xu,
inference(cnf_transformation,[],[f110]) ).
fof(f281,plain,
! [X0,X1] :
( sz00 != X1
| xb != sdtpldt0(sdtasdt0(X0,xu),X1)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f282,plain,
! [X0,X1] :
( ~ iLess0(sbrdtbr0(X1),sbrdtbr0(xu))
| xb != sdtpldt0(sdtasdt0(X0,xu),X1)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f295,plain,
! [X0] :
( xb != sdtpldt0(sdtasdt0(X0,xu),sz00)
| ~ aElement0(sz00)
| ~ aElement0(X0) ),
inference(equality_resolution,[],[f281]) ).
cnf(c_49,plain,
aElement0(sz00),
inference(cnf_transformation,[],[f169]) ).
cnf(c_69,plain,
( ~ aElement0(X0)
| sdtasdt0(X0,sz00) = sz00 ),
inference(cnf_transformation,[],[f188]) ).
cnf(c_70,plain,
( sdtasdt0(X0,X1) != sz00
| ~ aElement0(X0)
| ~ aElement0(X1)
| X0 = sz00
| X1 = sz00 ),
inference(cnf_transformation,[],[f190]) ).
cnf(c_72,plain,
( ~ aElementOf0(X0,X1)
| ~ aSet0(X1)
| aElement0(X0) ),
inference(cnf_transformation,[],[f192]) ).
cnf(c_103,plain,
( ~ aIdeal0(X0)
| aSet0(X0) ),
inference(cnf_transformation,[],[f216]) ).
cnf(c_114,plain,
( ~ aElement0(X0)
| ~ aElement0(X1)
| sK16(X0,X1) = sz00
| X1 = sz00
| iLess0(sbrdtbr0(sK16(X0,X1)),sbrdtbr0(X1)) ),
inference(cnf_transformation,[],[f237]) ).
cnf(c_115,plain,
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtpldt0(sdtasdt0(sK15(X0,X1),X1),sK16(X0,X1)) = X0
| X1 = sz00 ),
inference(cnf_transformation,[],[f236]) ).
cnf(c_116,plain,
( ~ aElement0(X0)
| ~ aElement0(X1)
| X1 = sz00
| aElement0(sK16(X0,X1)) ),
inference(cnf_transformation,[],[f235]) ).
cnf(c_117,plain,
( ~ aElement0(X0)
| ~ aElement0(X1)
| X1 = sz00
| aElement0(sK15(X0,X1)) ),
inference(cnf_transformation,[],[f234]) ).
cnf(c_140,plain,
aElement0(xb),
inference(cnf_transformation,[],[f261]) ).
cnf(c_145,plain,
aIdeal0(xI),
inference(cnf_transformation,[],[f264]) ).
cnf(c_153,plain,
sz00 != xu,
inference(cnf_transformation,[],[f273]) ).
cnf(c_154,plain,
aElementOf0(xu,xI),
inference(cnf_transformation,[],[f272]) ).
cnf(c_161,negated_conjecture,
( sdtpldt0(sdtasdt0(X0,xu),X1) != xb
| ~ iLess0(sbrdtbr0(X1),sbrdtbr0(xu))
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f282]) ).
cnf(c_162,negated_conjecture,
( sdtpldt0(sdtasdt0(X0,xu),sz00) != xb
| ~ aElement0(X0)
| ~ aElement0(sz00) ),
inference(cnf_transformation,[],[f295]) ).
cnf(c_170,plain,
( ~ aElement0(sz00)
| sdtasdt0(sz00,sz00) = sz00 ),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_223,plain,
( sdtasdt0(sz00,sz00) != sz00
| ~ aElement0(sz00)
| sz00 = sz00 ),
inference(instantiation,[status(thm)],[c_70]) ).
cnf(c_243,plain,
( ~ aElement0(X0)
| sdtpldt0(sdtasdt0(X0,xu),sz00) != xb ),
inference(global_subsumption_just,[status(thm)],[c_162,c_49,c_162]) ).
cnf(c_244,negated_conjecture,
( sdtpldt0(sdtasdt0(X0,xu),sz00) != xb
| ~ aElement0(X0) ),
inference(renaming,[status(thm)],[c_243]) ).
cnf(c_267,plain,
X0 = X0,
theory(equality) ).
cnf(c_269,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_272,plain,
( X0 != X1
| X2 != X3
| sdtpldt0(X0,X2) = sdtpldt0(X1,X3) ),
theory(equality) ).
cnf(c_308,plain,
( ~ aIdeal0(xI)
| aSet0(xI) ),
inference(instantiation,[status(thm)],[c_103]) ).
cnf(c_327,plain,
( sz00 != X0
| xu != X0
| sz00 = xu ),
inference(instantiation,[status(thm)],[c_269]) ).
cnf(c_328,plain,
( sz00 != sz00
| xu != sz00
| sz00 = xu ),
inference(instantiation,[status(thm)],[c_327]) ).
cnf(c_329,plain,
( sdtpldt0(sdtasdt0(X0,xu),sz00) != X1
| xb != X1
| sdtpldt0(sdtasdt0(X0,xu),sz00) = xb ),
inference(instantiation,[status(thm)],[c_269]) ).
cnf(c_415,plain,
( X0 != X1
| xb != X1
| xb = X0 ),
inference(instantiation,[status(thm)],[c_269]) ).
cnf(c_894,plain,
sdtasdt0(X0,X1) = sdtasdt0(X0,X1),
inference(instantiation,[status(thm)],[c_267]) ).
cnf(c_918,plain,
( ~ aSet0(xI)
| aElement0(xu) ),
inference(resolution,[status(thm)],[c_72,c_154]) ).
cnf(c_1043,plain,
( X0 != xb
| xb != xb
| xb = X0 ),
inference(instantiation,[status(thm)],[c_415]) ).
cnf(c_1044,plain,
xb = xb,
inference(instantiation,[status(thm)],[c_267]) ).
cnf(c_1224,plain,
( ~ aElement0(X0)
| ~ aElement0(xu)
| sdtpldt0(sdtasdt0(sK15(X0,xu),xu),sK16(X0,xu)) = X0
| xu = sz00 ),
inference(instantiation,[status(thm)],[c_115]) ).
cnf(c_1227,plain,
( ~ aElement0(X0)
| ~ aElement0(xu)
| xu = sz00
| aElement0(sK15(X0,xu)) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_1228,plain,
( ~ aElement0(X0)
| ~ aElement0(xu)
| xu = sz00
| aElement0(sK16(X0,xu)) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_2859,plain,
( sdtpldt0(sdtasdt0(X0,xu),sz00) != sdtpldt0(X1,X2)
| xb != sdtpldt0(X1,X2)
| sdtpldt0(sdtasdt0(X0,xu),sz00) = xb ),
inference(instantiation,[status(thm)],[c_329]) ).
cnf(c_2860,plain,
( sdtasdt0(X0,xu) != X1
| sz00 != X2
| sdtpldt0(sdtasdt0(X0,xu),sz00) = sdtpldt0(X1,X2) ),
inference(instantiation,[status(thm)],[c_272]) ).
cnf(c_3535,plain,
( X0 != X1
| X1 = X0 ),
inference(resolution,[status(thm)],[c_269,c_267]) ).
cnf(c_4884,plain,
( sdtasdt0(X0,xu) != sdtasdt0(X1,X2)
| sz00 != X3
| sdtpldt0(sdtasdt0(X0,xu),sz00) = sdtpldt0(sdtasdt0(X1,X2),X3) ),
inference(instantiation,[status(thm)],[c_2860]) ).
cnf(c_8761,plain,
( ~ aElement0(xb)
| ~ aElement0(xu)
| sdtpldt0(sdtasdt0(sK15(xb,xu),xu),sK16(xb,xu)) = xb
| xu = sz00 ),
inference(instantiation,[status(thm)],[c_1224]) ).
cnf(c_8764,plain,
( sdtpldt0(sdtasdt0(sK15(xb,xu),xu),sK16(xb,xu)) != xb
| xb != xb
| xb = sdtpldt0(sdtasdt0(sK15(xb,xu),xu),sK16(xb,xu)) ),
inference(instantiation,[status(thm)],[c_1043]) ).
cnf(c_9910,plain,
( sdtasdt0(X0,xu) != sdtasdt0(X0,xu)
| sz00 != X1
| sdtpldt0(sdtasdt0(X0,xu),sz00) = sdtpldt0(sdtasdt0(X0,xu),X1) ),
inference(instantiation,[status(thm)],[c_4884]) ).
cnf(c_9911,plain,
sdtasdt0(X0,xu) = sdtasdt0(X0,xu),
inference(instantiation,[status(thm)],[c_894]) ).
cnf(c_10640,plain,
( sdtpldt0(sdtasdt0(X0,xu),sz00) != sdtpldt0(sdtasdt0(sK15(xb,xu),xu),sK16(xb,xu))
| xb != sdtpldt0(sdtasdt0(sK15(xb,xu),xu),sK16(xb,xu))
| sdtpldt0(sdtasdt0(X0,xu),sz00) = xb ),
inference(instantiation,[status(thm)],[c_2859]) ).
cnf(c_14072,plain,
( ~ iLess0(sbrdtbr0(sK16(xb,xu)),sbrdtbr0(xu))
| ~ aElement0(sK16(xb,xu))
| ~ aElement0(sK15(xb,xu))
| ~ aElement0(xb)
| ~ aElement0(xu)
| xu = sz00 ),
inference(resolution,[status(thm)],[c_161,c_115]) ).
cnf(c_14087,plain,
( ~ aElement0(sK15(xb,xu))
| ~ aElement0(sK16(xb,xu))
| ~ iLess0(sbrdtbr0(sK16(xb,xu)),sbrdtbr0(xu)) ),
inference(global_subsumption_just,[status(thm)],[c_14072,c_145,c_140,c_49,c_153,c_170,c_223,c_308,c_328,c_918,c_14072]) ).
cnf(c_14088,plain,
( ~ iLess0(sbrdtbr0(sK16(xb,xu)),sbrdtbr0(xu))
| ~ aElement0(sK16(xb,xu))
| ~ aElement0(sK15(xb,xu)) ),
inference(renaming,[status(thm)],[c_14087]) ).
cnf(c_14109,plain,
( ~ aElement0(sK16(xb,xu))
| ~ aElement0(sK15(xb,xu))
| ~ aElement0(xb)
| ~ aElement0(xu)
| sK16(xb,xu) = sz00
| xu = sz00 ),
inference(resolution,[status(thm)],[c_14088,c_114]) ).
cnf(c_14121,plain,
( sK16(xb,xu) = sz00
| ~ aElement0(sK15(xb,xu))
| ~ aElement0(sK16(xb,xu)) ),
inference(global_subsumption_just,[status(thm)],[c_14109,c_145,c_140,c_49,c_153,c_170,c_223,c_308,c_328,c_918,c_14109]) ).
cnf(c_14122,plain,
( ~ aElement0(sK16(xb,xu))
| ~ aElement0(sK15(xb,xu))
| sK16(xb,xu) = sz00 ),
inference(renaming,[status(thm)],[c_14121]) ).
cnf(c_14164,plain,
( ~ aElement0(sK16(xb,xu))
| ~ aElement0(sK15(xb,xu))
| sz00 = sK16(xb,xu) ),
inference(resolution,[status(thm)],[c_14122,c_3535]) ).
cnf(c_17594,plain,
( sdtasdt0(sK15(xb,xu),xu) != sdtasdt0(sK15(xb,xu),xu)
| sz00 != sK16(xb,xu)
| sdtpldt0(sdtasdt0(sK15(xb,xu),xu),sz00) = sdtpldt0(sdtasdt0(sK15(xb,xu),xu),sK16(xb,xu)) ),
inference(instantiation,[status(thm)],[c_9910]) ).
cnf(c_17595,plain,
( sdtpldt0(sdtasdt0(sK15(xb,xu),xu),sz00) != sdtpldt0(sdtasdt0(sK15(xb,xu),xu),sK16(xb,xu))
| xb != sdtpldt0(sdtasdt0(sK15(xb,xu),xu),sK16(xb,xu))
| sdtpldt0(sdtasdt0(sK15(xb,xu),xu),sz00) = xb ),
inference(instantiation,[status(thm)],[c_10640]) ).
cnf(c_19756,plain,
( ~ aElement0(xb)
| ~ aElement0(xu)
| xu = sz00
| aElement0(sK16(xb,xu)) ),
inference(instantiation,[status(thm)],[c_1228]) ).
cnf(c_29644,plain,
( ~ aElement0(xb)
| ~ aElement0(xu)
| xu = sz00
| aElement0(sK15(xb,xu)) ),
inference(instantiation,[status(thm)],[c_1227]) ).
cnf(c_30850,plain,
sdtasdt0(sK15(xb,xu),xu) = sdtasdt0(sK15(xb,xu),xu),
inference(instantiation,[status(thm)],[c_9911]) ).
cnf(c_34400,plain,
( sdtpldt0(sdtasdt0(sK15(xb,xu),xu),sz00) != xb
| ~ aElement0(sK15(xb,xu)) ),
inference(instantiation,[status(thm)],[c_244]) ).
cnf(c_34401,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_34400,c_30850,c_29644,c_19756,c_17595,c_17594,c_14164,c_8764,c_8761,c_1044,c_918,c_328,c_308,c_223,c_170,c_153,c_49,c_140,c_145]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : RNG118+1 : TPTP v8.1.2. Released v4.0.0.
% 0.05/0.11 % Command : run_iprover %s %d THM
% 0.10/0.31 % Computer : n014.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Thu May 2 21:13:32 EDT 2024
% 0.16/0.31 % CPUTime :
% 0.16/0.42 Running first-order theorem proving
% 0.16/0.42 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 57.79/8.20 % SZS status Started for theBenchmark.p
% 57.79/8.20 % SZS status Theorem for theBenchmark.p
% 57.79/8.20
% 57.79/8.20 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 57.79/8.20
% 57.79/8.20 ------ iProver source info
% 57.79/8.20
% 57.79/8.20 git: date: 2024-05-02 19:28:25 +0000
% 57.79/8.20 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 57.79/8.20 git: non_committed_changes: false
% 57.79/8.20
% 57.79/8.20 ------ Parsing...
% 57.79/8.20 ------ Clausification by vclausify_rel & Parsing by iProver...
% 57.79/8.20
% 57.79/8.20 ------ Preprocessing... sf_s rm: 1 0s sf_e
% 57.79/8.20
% 57.79/8.20 ------ Preprocessing...
% 57.79/8.20
% 57.79/8.20 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 57.79/8.20 ------ Proving...
% 57.79/8.20 ------ Problem Properties
% 57.79/8.20
% 57.79/8.20
% 57.79/8.20 clauses 114
% 57.79/8.20 conjectures 2
% 57.79/8.20 EPR 28
% 57.79/8.20 Horn 90
% 57.79/8.20 unary 21
% 57.79/8.20 binary 19
% 57.79/8.20 lits 376
% 57.79/8.20 lits eq 53
% 57.79/8.20 fd_pure 0
% 57.79/8.20 fd_pseudo 0
% 57.79/8.20 fd_cond 5
% 57.79/8.20 fd_pseudo_cond 11
% 57.79/8.20 AC symbols 0
% 57.79/8.20
% 57.79/8.20 ------ Input Options Time Limit: Unbounded
% 57.79/8.20
% 57.79/8.20
% 57.79/8.20 ------
% 57.79/8.20 Current options:
% 57.79/8.20 ------
% 57.79/8.20
% 57.79/8.20
% 57.79/8.20
% 57.79/8.20
% 57.79/8.20 ------ Proving...
% 57.79/8.20
% 57.79/8.20
% 57.79/8.20 % SZS status Theorem for theBenchmark.p
% 57.79/8.20
% 57.79/8.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 57.79/8.20
% 57.79/8.20
%------------------------------------------------------------------------------