TSTP Solution File: NUM564+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : NUM564+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n028.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 02:49:57 EDT 2024
% Result : Theorem 8.09s 1.64s
% Output : CNFRefutation 8.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 15
% Syntax : Number of formulae : 96 ( 29 unt; 0 def)
% Number of atoms : 362 ( 87 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 453 ( 187 ~; 176 |; 68 &)
% ( 12 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-3 aty)
% Number of variables : 134 ( 0 sgn 102 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] :
( slcrc0 = X0
<=> ( ~ ? [X1] : aElementOf0(X1,X0)
& aSet0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefEmp) ).
fof(f8,axiom,
! [X0] :
( ( isCountable0(X0)
& aSet0(X0) )
=> ~ isFinite0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCountNFin) ).
fof(f10,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSub) ).
fof(f23,axiom,
( isCountable0(szNzAzT0)
& aSet0(szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNATSet) ).
fof(f42,axiom,
! [X0] :
( aSet0(X0)
=> ( sz00 = sbrdtbr0(X0)
<=> slcrc0 = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardEmpty) ).
fof(f57,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aSet0(X0) )
=> ! [X2] :
( slbdtsldtrb0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSel) ).
fof(f59,axiom,
! [X0] :
( ( ~ isFinite0(X0)
& aSet0(X0) )
=> ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> slcrc0 != slbdtsldtrb0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSelNSet) ).
fof(f74,axiom,
aElementOf0(xK,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3418) ).
fof(f75,axiom,
( isCountable0(xS)
& aSubsetOf0(xS,szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3435) ).
fof(f76,axiom,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& aFunction0(xc) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3453) ).
fof(f78,axiom,
sz00 = xK,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3462) ).
fof(f79,conjecture,
aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f80,negated_conjecture,
~ aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00)),
inference(negated_conjecture,[],[f79]) ).
fof(f88,plain,
~ aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00)),
inference(flattening,[],[f80]) ).
fof(f90,plain,
! [X0] :
( slcrc0 = X0
<=> ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f91,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f92,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f91]) ).
fof(f95,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f139,plain,
! [X0] :
( ( sz00 = sbrdtbr0(X0)
<=> slcrc0 = X0 )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f163,plain,
! [X0,X1] :
( ! [X2] :
( slbdtsldtrb0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) )
& aSet0(X2) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f164,plain,
! [X0,X1] :
( ! [X2] :
( slbdtsldtrb0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) )
& aSet0(X2) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(flattening,[],[f163]) ).
fof(f167,plain,
! [X0] :
( ! [X1] :
( slcrc0 != slbdtsldtrb0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0) )
| isFinite0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f59]) ).
fof(f168,plain,
! [X0] :
( ! [X1] :
( slcrc0 != slbdtsldtrb0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0) )
| isFinite0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f167]) ).
fof(f196,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(nnf_transformation,[],[f90]) ).
fof(f197,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(flattening,[],[f196]) ).
fof(f198,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(rectify,[],[f197]) ).
fof(f199,plain,
! [X0] :
( ? [X1] : aElementOf0(X1,X0)
=> aElementOf0(sK4(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f200,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])],[f198,f199]) ).
fof(f201,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,[],[f95]) ).
fof(f202,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,[],[f201]) ).
fof(f203,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,[],[f202]) ).
fof(f204,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK5(X0,X1),X0)
& aElementOf0(sK5(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f205,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])],[f203,f204]) ).
fof(f222,plain,
! [X0] :
( ( ( sz00 = sbrdtbr0(X0)
| slcrc0 != X0 )
& ( slcrc0 = X0
| sz00 != sbrdtbr0(X0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f139]) ).
fof(f245,plain,
! [X0,X1] :
( ! [X2] :
( ( slbdtsldtrb0(X0,X1) = X2
| ? [X3] :
( ( sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0)
| ~ aElementOf0(X3,X2) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f164]) ).
fof(f246,plain,
! [X0,X1] :
( ! [X2] :
( ( slbdtsldtrb0(X0,X1) = X2
| ? [X3] :
( ( sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0)
| ~ aElementOf0(X3,X2) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(flattening,[],[f245]) ).
fof(f247,plain,
! [X0,X1] :
( ! [X2] :
( ( slbdtsldtrb0(X0,X1) = X2
| ? [X3] :
( ( sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0)
| ~ aElementOf0(X3,X2) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| sbrdtbr0(X4) != X1
| ~ aSubsetOf0(X4,X0) )
& ( ( sbrdtbr0(X4) = X1
& aSubsetOf0(X4,X0) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(rectify,[],[f246]) ).
fof(f248,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0)
| ~ aElementOf0(X3,X2) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| aElementOf0(X3,X2) ) )
=> ( ( sbrdtbr0(sK14(X0,X1,X2)) != X1
| ~ aSubsetOf0(sK14(X0,X1,X2),X0)
| ~ aElementOf0(sK14(X0,X1,X2),X2) )
& ( ( sbrdtbr0(sK14(X0,X1,X2)) = X1
& aSubsetOf0(sK14(X0,X1,X2),X0) )
| aElementOf0(sK14(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f249,plain,
! [X0,X1] :
( ! [X2] :
( ( slbdtsldtrb0(X0,X1) = X2
| ( ( sbrdtbr0(sK14(X0,X1,X2)) != X1
| ~ aSubsetOf0(sK14(X0,X1,X2),X0)
| ~ aElementOf0(sK14(X0,X1,X2),X2) )
& ( ( sbrdtbr0(sK14(X0,X1,X2)) = X1
& aSubsetOf0(sK14(X0,X1,X2),X0) )
| aElementOf0(sK14(X0,X1,X2),X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| sbrdtbr0(X4) != X1
| ~ aSubsetOf0(X4,X0) )
& ( ( sbrdtbr0(X4) = X1
& aSubsetOf0(X4,X0) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f247,f248]) ).
fof(f277,plain,
! [X0] :
( slcrc0 = X0
| aElementOf0(sK4(X0),X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f200]) ).
fof(f279,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f281,plain,
! [X0,X1] :
( aSet0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f205]) ).
fof(f319,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f341,plain,
! [X0] :
( slcrc0 = X0
| sz00 != sbrdtbr0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f222]) ).
fof(f374,plain,
! [X2,X0,X1] :
( aSet0(X2)
| slbdtsldtrb0(X0,X1) != X2
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f249]) ).
fof(f375,plain,
! [X2,X0,X1,X4] :
( aSubsetOf0(X4,X0)
| ~ aElementOf0(X4,X2)
| slbdtsldtrb0(X0,X1) != X2
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f249]) ).
fof(f376,plain,
! [X2,X0,X1,X4] :
( sbrdtbr0(X4) = X1
| ~ aElementOf0(X4,X2)
| slbdtsldtrb0(X0,X1) != X2
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f249]) ).
fof(f382,plain,
! [X0,X1] :
( slcrc0 != slbdtsldtrb0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f168]) ).
fof(f419,plain,
aElementOf0(xK,szNzAzT0),
inference(cnf_transformation,[],[f74]) ).
fof(f420,plain,
aSubsetOf0(xS,szNzAzT0),
inference(cnf_transformation,[],[f75]) ).
fof(f421,plain,
isCountable0(xS),
inference(cnf_transformation,[],[f75]) ).
fof(f423,plain,
szDzozmdt0(xc) = slbdtsldtrb0(xS,xK),
inference(cnf_transformation,[],[f76]) ).
fof(f429,plain,
sz00 = xK,
inference(cnf_transformation,[],[f78]) ).
fof(f430,plain,
~ aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00)),
inference(cnf_transformation,[],[f88]) ).
fof(f438,plain,
! [X0] :
( slcrc0 = X0
| sbrdtbr0(X0) != xK
| ~ aSet0(X0) ),
inference(definition_unfolding,[],[f341,f429]) ).
fof(f442,plain,
~ aElementOf0(slcrc0,slbdtsldtrb0(xS,xK)),
inference(definition_unfolding,[],[f430,f429]) ).
fof(f462,plain,
! [X0,X1,X4] :
( sbrdtbr0(X4) = X1
| ~ aElementOf0(X4,slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f376]) ).
fof(f463,plain,
! [X0,X1,X4] :
( aSubsetOf0(X4,X0)
| ~ aElementOf0(X4,slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f375]) ).
fof(f464,plain,
! [X0,X1] :
( aSet0(slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f374]) ).
cnf(c_50,plain,
( ~ aSet0(X0)
| X0 = slcrc0
| aElementOf0(sK4(X0),X0) ),
inference(cnf_transformation,[],[f277]) ).
cnf(c_54,plain,
( ~ aSet0(X0)
| ~ isFinite0(X0)
| ~ isCountable0(X0) ),
inference(cnf_transformation,[],[f279]) ).
cnf(c_59,plain,
( ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| aSet0(X0) ),
inference(cnf_transformation,[],[f281]) ).
cnf(c_95,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f319]) ).
cnf(c_117,plain,
( sbrdtbr0(X0) != xK
| ~ aSet0(X0)
| X0 = slcrc0 ),
inference(cnf_transformation,[],[f438]) ).
cnf(c_153,plain,
( ~ aElementOf0(X0,slbdtsldtrb0(X1,X2))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(X1)
| sbrdtbr0(X0) = X2 ),
inference(cnf_transformation,[],[f462]) ).
cnf(c_154,plain,
( ~ aElementOf0(X0,slbdtsldtrb0(X1,X2))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(X1)
| aSubsetOf0(X0,X1) ),
inference(cnf_transformation,[],[f463]) ).
cnf(c_155,plain,
( ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(X1)
| aSet0(slbdtsldtrb0(X1,X0)) ),
inference(cnf_transformation,[],[f464]) ).
cnf(c_157,plain,
( slbdtsldtrb0(X0,X1) != slcrc0
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0)
| isFinite0(X0) ),
inference(cnf_transformation,[],[f382]) ).
cnf(c_194,plain,
aElementOf0(xK,szNzAzT0),
inference(cnf_transformation,[],[f419]) ).
cnf(c_195,plain,
isCountable0(xS),
inference(cnf_transformation,[],[f421]) ).
cnf(c_196,plain,
aSubsetOf0(xS,szNzAzT0),
inference(cnf_transformation,[],[f420]) ).
cnf(c_198,plain,
slbdtsldtrb0(xS,xK) = szDzozmdt0(xc),
inference(cnf_transformation,[],[f423]) ).
cnf(c_204,negated_conjecture,
~ aElementOf0(slcrc0,slbdtsldtrb0(xS,xK)),
inference(cnf_transformation,[],[f442]) ).
cnf(c_1492,plain,
~ aElementOf0(slcrc0,szDzozmdt0(xc)),
inference(demodulation,[status(thm)],[c_204,c_198]) ).
cnf(c_16822,plain,
( ~ aSet0(szNzAzT0)
| aSet0(xS) ),
inference(superposition,[status(thm)],[c_196,c_59]) ).
cnf(c_16824,plain,
aSet0(xS),
inference(forward_subsumption_resolution,[status(thm)],[c_16822,c_95]) ).
cnf(c_16853,plain,
( ~ isFinite0(xS)
| ~ isCountable0(xS) ),
inference(superposition,[status(thm)],[c_16824,c_54]) ).
cnf(c_16854,plain,
~ isFinite0(xS),
inference(forward_subsumption_resolution,[status(thm)],[c_16853,c_195]) ).
cnf(c_17104,plain,
( ~ aElementOf0(xK,szNzAzT0)
| ~ aSet0(xS)
| aSet0(szDzozmdt0(xc)) ),
inference(superposition,[status(thm)],[c_198,c_155]) ).
cnf(c_17106,plain,
aSet0(szDzozmdt0(xc)),
inference(forward_subsumption_resolution,[status(thm)],[c_17104,c_16824,c_194]) ).
cnf(c_18888,plain,
( ~ aElementOf0(X0,szDzozmdt0(xc))
| ~ aElementOf0(xK,szNzAzT0)
| ~ aSet0(xS)
| aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_198,c_154]) ).
cnf(c_18889,plain,
( ~ aElementOf0(X0,szDzozmdt0(xc))
| aSubsetOf0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18888,c_16824,c_194]) ).
cnf(c_18931,plain,
( szDzozmdt0(xc) != slcrc0
| ~ aElementOf0(xK,szNzAzT0)
| ~ aSet0(xS)
| isFinite0(xS) ),
inference(superposition,[status(thm)],[c_198,c_157]) ).
cnf(c_18932,plain,
szDzozmdt0(xc) != slcrc0,
inference(forward_subsumption_resolution,[status(thm)],[c_18931,c_16854,c_16824,c_194]) ).
cnf(c_18941,plain,
( ~ aSet0(szDzozmdt0(xc))
| szDzozmdt0(xc) = slcrc0
| aSubsetOf0(sK4(szDzozmdt0(xc)),xS) ),
inference(superposition,[status(thm)],[c_50,c_18889]) ).
cnf(c_18945,plain,
aSubsetOf0(sK4(szDzozmdt0(xc)),xS),
inference(forward_subsumption_resolution,[status(thm)],[c_18941,c_18932,c_17106]) ).
cnf(c_18962,plain,
( ~ aSet0(xS)
| aSet0(sK4(szDzozmdt0(xc))) ),
inference(superposition,[status(thm)],[c_18945,c_59]) ).
cnf(c_18963,plain,
aSet0(sK4(szDzozmdt0(xc))),
inference(forward_subsumption_resolution,[status(thm)],[c_18962,c_16824]) ).
cnf(c_20149,plain,
( ~ aElementOf0(X0,szDzozmdt0(xc))
| ~ aElementOf0(xK,szNzAzT0)
| ~ aSet0(xS)
| sbrdtbr0(X0) = xK ),
inference(superposition,[status(thm)],[c_198,c_153]) ).
cnf(c_20150,plain,
( ~ aElementOf0(X0,szDzozmdt0(xc))
| sbrdtbr0(X0) = xK ),
inference(forward_subsumption_resolution,[status(thm)],[c_20149,c_16824,c_194]) ).
cnf(c_20203,plain,
( ~ aSet0(szDzozmdt0(xc))
| sbrdtbr0(sK4(szDzozmdt0(xc))) = xK
| szDzozmdt0(xc) = slcrc0 ),
inference(superposition,[status(thm)],[c_50,c_20150]) ).
cnf(c_20207,plain,
sbrdtbr0(sK4(szDzozmdt0(xc))) = xK,
inference(forward_subsumption_resolution,[status(thm)],[c_20203,c_18932,c_17106]) ).
cnf(c_20229,plain,
( ~ aSet0(sK4(szDzozmdt0(xc)))
| sK4(szDzozmdt0(xc)) = slcrc0 ),
inference(superposition,[status(thm)],[c_20207,c_117]) ).
cnf(c_20238,plain,
sK4(szDzozmdt0(xc)) = slcrc0,
inference(forward_subsumption_resolution,[status(thm)],[c_20229,c_18963]) ).
cnf(c_20263,plain,
( ~ aSet0(szDzozmdt0(xc))
| szDzozmdt0(xc) = slcrc0
| aElementOf0(slcrc0,szDzozmdt0(xc)) ),
inference(superposition,[status(thm)],[c_20238,c_50]) ).
cnf(c_20265,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_20263,c_1492,c_18932,c_17106]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : NUM564+1 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.12 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n028.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Thu May 2 19:43:33 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.17/0.44 Running first-order theorem proving
% 0.17/0.44 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 8.09/1.64 % SZS status Started for theBenchmark.p
% 8.09/1.64 % SZS status Theorem for theBenchmark.p
% 8.09/1.64
% 8.09/1.64 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 8.09/1.64
% 8.09/1.64 ------ iProver source info
% 8.09/1.64
% 8.09/1.64 git: date: 2024-05-02 19:28:25 +0000
% 8.09/1.64 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 8.09/1.64 git: non_committed_changes: false
% 8.09/1.64
% 8.09/1.64 ------ Parsing...
% 8.09/1.64 ------ Clausification by vclausify_rel & Parsing by iProver...
% 8.09/1.64
% 8.09/1.64 ------ Preprocessing... sup_sim: 1 sf_s rm: 1 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
% 8.09/1.64
% 8.09/1.64 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 8.09/1.64
% 8.09/1.64 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 8.09/1.64 ------ Proving...
% 8.09/1.64 ------ Problem Properties
% 8.09/1.64
% 8.09/1.64
% 8.09/1.64 clauses 148
% 8.09/1.64 conjectures 0
% 8.09/1.64 EPR 34
% 8.09/1.64 Horn 109
% 8.09/1.64 unary 17
% 8.09/1.64 binary 17
% 8.09/1.64 lits 533
% 8.09/1.64 lits eq 77
% 8.09/1.64 fd_pure 0
% 8.09/1.64 fd_pseudo 0
% 8.09/1.64 fd_cond 10
% 8.09/1.64 fd_pseudo_cond 24
% 8.09/1.64 AC symbols 0
% 8.09/1.64
% 8.09/1.64 ------ Schedule dynamic 5 is on
% 8.09/1.64
% 8.09/1.64 ------ no conjectures: strip conj schedule
% 8.09/1.64
% 8.09/1.64 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 8.09/1.64
% 8.09/1.64
% 8.09/1.64 ------
% 8.09/1.64 Current options:
% 8.09/1.64 ------
% 8.09/1.64
% 8.09/1.64
% 8.09/1.64
% 8.09/1.64
% 8.09/1.64 ------ Proving...
% 8.09/1.64
% 8.09/1.64
% 8.09/1.64 % SZS status Theorem for theBenchmark.p
% 8.09/1.64
% 8.09/1.64 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.09/1.64
% 8.09/1.64
%------------------------------------------------------------------------------