TSTP Solution File: NUM607+1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : NUM607+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n009.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 11:31:49 EDT 2023
% Result : Theorem 184.30s 25.29s
% Output : CNFRefutation 184.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 18
% Syntax : Number of formulae : 97 ( 29 unt; 0 def)
% Number of atoms : 378 ( 74 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 485 ( 204 ~; 201 |; 62 &)
% ( 8 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-3 aty)
% Number of variables : 143 ( 0 sgn; 92 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
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(f14,axiom,
! [X0,X1,X2] :
( ( aSet0(X2)
& aSet0(X1)
& aSet0(X0) )
=> ( ( aSubsetOf0(X1,X2)
& aSubsetOf0(X0,X1) )
=> aSubsetOf0(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubTrans) ).
fof(f23,axiom,
( isCountable0(szNzAzT0)
& aSet0(szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNATSet) ).
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/sandbox2/benchmark/theBenchmark.p',mDefSel) ).
fof(f74,axiom,
aElementOf0(xK,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3418) ).
fof(f75,axiom,
( isCountable0(xS)
& aSubsetOf0(xS,szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3435) ).
fof(f76,axiom,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& aFunction0(xc) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3453) ).
fof(f96,axiom,
( isCountable0(xO)
& aSet0(xO) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4908) ).
fof(f98,axiom,
aSubsetOf0(xO,xS),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4998) ).
fof(f99,axiom,
aElementOf0(xQ,slbdtsldtrb0(xO,xK)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5078) ).
fof(f100,axiom,
( slcrc0 != xQ
& aSubsetOf0(xQ,xO) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5093) ).
fof(f101,axiom,
aSubsetOf0(xQ,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5106) ).
fof(f102,conjecture,
aElementOf0(xQ,szDzozmdt0(xc)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f103,negated_conjecture,
~ aElementOf0(xQ,szDzozmdt0(xc)),
inference(negated_conjecture,[],[f102]) ).
fof(f111,plain,
~ aElementOf0(xQ,szDzozmdt0(xc)),
inference(flattening,[],[f103]) ).
fof(f118,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f121,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f122,plain,
! [X0,X1] :
( X0 = X1
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f123,plain,
! [X0,X1] :
( X0 = X1
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f122]) ).
fof(f124,plain,
! [X0,X1,X2] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f125,plain,
! [X0,X1,X2] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f124]) ).
fof(f186,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(f187,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,[],[f186]) ).
fof(f246,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,[],[f118]) ).
fof(f247,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,[],[f246]) ).
fof(f248,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,[],[f247]) ).
fof(f249,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK5(X0,X1),X0)
& aElementOf0(sK5(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f250,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])],[f248,f249]) ).
fof(f290,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,[],[f187]) ).
fof(f291,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,[],[f290]) ).
fof(f292,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,[],[f291]) ).
fof(f293,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(f294,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])],[f292,f293]) ).
fof(f333,plain,
! [X0,X1] :
( aSet0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f250]) ).
fof(f338,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f339,plain,
! [X0,X1] :
( X0 = X1
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f340,plain,
! [X2,X0,X1] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f371,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f428,plain,
! [X2,X0,X1,X4] :
( sbrdtbr0(X4) = X1
| ~ aElementOf0(X4,X2)
| slbdtsldtrb0(X0,X1) != X2
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f294]) ).
fof(f429,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| sbrdtbr0(X4) != X1
| ~ aSubsetOf0(X4,X0)
| slbdtsldtrb0(X0,X1) != X2
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f294]) ).
fof(f471,plain,
aElementOf0(xK,szNzAzT0),
inference(cnf_transformation,[],[f74]) ).
fof(f472,plain,
aSubsetOf0(xS,szNzAzT0),
inference(cnf_transformation,[],[f75]) ).
fof(f475,plain,
szDzozmdt0(xc) = slbdtsldtrb0(xS,xK),
inference(cnf_transformation,[],[f76]) ).
fof(f519,plain,
aSet0(xO),
inference(cnf_transformation,[],[f96]) ).
fof(f524,plain,
aSubsetOf0(xO,xS),
inference(cnf_transformation,[],[f98]) ).
fof(f525,plain,
aElementOf0(xQ,slbdtsldtrb0(xO,xK)),
inference(cnf_transformation,[],[f99]) ).
fof(f526,plain,
aSubsetOf0(xQ,xO),
inference(cnf_transformation,[],[f100]) ).
fof(f528,plain,
aSubsetOf0(xQ,szNzAzT0),
inference(cnf_transformation,[],[f101]) ).
fof(f529,plain,
~ aElementOf0(xQ,szDzozmdt0(xc)),
inference(cnf_transformation,[],[f111]) ).
fof(f547,plain,
! [X2,X0,X4] :
( aElementOf0(X4,X2)
| ~ aSubsetOf0(X4,X0)
| slbdtsldtrb0(X0,sbrdtbr0(X4)) != X2
| ~ aElementOf0(sbrdtbr0(X4),szNzAzT0)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f429]) ).
fof(f548,plain,
! [X0,X4] :
( aElementOf0(X4,slbdtsldtrb0(X0,sbrdtbr0(X4)))
| ~ aSubsetOf0(X4,X0)
| ~ aElementOf0(sbrdtbr0(X4),szNzAzT0)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f547]) ).
fof(f549,plain,
! [X0,X1,X4] :
( sbrdtbr0(X4) = X1
| ~ aElementOf0(X4,slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f428]) ).
cnf(c_59,plain,
( ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| aSet0(X0) ),
inference(cnf_transformation,[],[f333]) ).
cnf(c_61,plain,
( ~ aSet0(X0)
| aSubsetOf0(X0,X0) ),
inference(cnf_transformation,[],[f338]) ).
cnf(c_62,plain,
( ~ aSubsetOf0(X0,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0)
| ~ aSet0(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f339]) ).
cnf(c_63,plain,
( ~ aSubsetOf0(X0,X1)
| ~ aSubsetOf0(X2,X0)
| ~ aSet0(X0)
| ~ aSet0(X1)
| ~ aSet0(X2)
| aSubsetOf0(X2,X1) ),
inference(cnf_transformation,[],[f340]) ).
cnf(c_95,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f371]) ).
cnf(c_152,plain,
( ~ aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| aElementOf0(X0,slbdtsldtrb0(X1,sbrdtbr0(X0))) ),
inference(cnf_transformation,[],[f548]) ).
cnf(c_153,plain,
( ~ aElementOf0(X0,slbdtsldtrb0(X1,X2))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(X1)
| sbrdtbr0(X0) = X2 ),
inference(cnf_transformation,[],[f549]) ).
cnf(c_194,plain,
aElementOf0(xK,szNzAzT0),
inference(cnf_transformation,[],[f471]) ).
cnf(c_196,plain,
aSubsetOf0(xS,szNzAzT0),
inference(cnf_transformation,[],[f472]) ).
cnf(c_198,plain,
slbdtsldtrb0(xS,xK) = szDzozmdt0(xc),
inference(cnf_transformation,[],[f475]) ).
cnf(c_243,plain,
aSet0(xO),
inference(cnf_transformation,[],[f519]) ).
cnf(c_247,plain,
aSubsetOf0(xO,xS),
inference(cnf_transformation,[],[f524]) ).
cnf(c_248,plain,
aElementOf0(xQ,slbdtsldtrb0(xO,xK)),
inference(cnf_transformation,[],[f525]) ).
cnf(c_250,plain,
aSubsetOf0(xQ,xO),
inference(cnf_transformation,[],[f526]) ).
cnf(c_251,plain,
aSubsetOf0(xQ,szNzAzT0),
inference(cnf_transformation,[],[f528]) ).
cnf(c_252,negated_conjecture,
~ aElementOf0(xQ,szDzozmdt0(xc)),
inference(cnf_transformation,[],[f529]) ).
cnf(c_256,plain,
( ~ aSet0(szNzAzT0)
| aSubsetOf0(szNzAzT0,szNzAzT0) ),
inference(instantiation,[status(thm)],[c_61]) ).
cnf(c_333,plain,
( ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| ~ aSet0(szNzAzT0)
| szNzAzT0 = szNzAzT0 ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_402,plain,
( ~ aSubsetOf0(X2,X0)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X2)
| aSubsetOf0(X2,X1) ),
inference(global_subsumption_just,[status(thm)],[c_63,c_59,c_63]) ).
cnf(c_403,plain,
( ~ aSubsetOf0(X0,X1)
| ~ aSubsetOf0(X2,X0)
| ~ aSet0(X1)
| ~ aSet0(X2)
| aSubsetOf0(X2,X1) ),
inference(renaming,[status(thm)],[c_402]) ).
cnf(c_12755,plain,
( X0 != X1
| X2 != X3
| ~ aElementOf0(X1,X3)
| aElementOf0(X0,X2) ),
theory(equality) ).
cnf(c_15712,plain,
( ~ aSet0(szNzAzT0)
| aSet0(xS) ),
inference(superposition,[status(thm)],[c_196,c_59]) ).
cnf(c_15716,plain,
( ~ aSet0(szNzAzT0)
| aSet0(xQ) ),
inference(superposition,[status(thm)],[c_251,c_59]) ).
cnf(c_15879,plain,
( X0 != xK
| X1 != szNzAzT0
| ~ aElementOf0(xK,szNzAzT0)
| aElementOf0(X0,X1) ),
inference(instantiation,[status(thm)],[c_12755]) ).
cnf(c_15995,plain,
( ~ aSubsetOf0(X0,xO)
| ~ aSet0(X0)
| ~ aSet0(xS)
| aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_247,c_403]) ).
cnf(c_16053,plain,
( ~ aSet0(X0)
| ~ aSubsetOf0(X0,xO)
| aSubsetOf0(X0,xS) ),
inference(global_subsumption_just,[status(thm)],[c_15995,c_95,c_15712,c_15995]) ).
cnf(c_16054,plain,
( ~ aSubsetOf0(X0,xO)
| ~ aSet0(X0)
| aSubsetOf0(X0,xS) ),
inference(renaming,[status(thm)],[c_16053]) ).
cnf(c_16057,plain,
( ~ aSet0(xQ)
| aSubsetOf0(xQ,xS) ),
inference(superposition,[status(thm)],[c_250,c_16054]) ).
cnf(c_232562,plain,
( X0 != xK
| X1 != szNzAzT0
| ~ aElementOf0(xK,szNzAzT0)
| aElementOf0(X0,X1) ),
inference(instantiation,[status(thm)],[c_12755]) ).
cnf(c_232785,plain,
( X1 != szNzAzT0
| X0 != xK
| aElementOf0(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_232562,c_194,c_15879]) ).
cnf(c_232786,plain,
( X0 != xK
| X1 != szNzAzT0
| aElementOf0(X0,X1) ),
inference(renaming,[status(thm)],[c_232785]) ).
cnf(c_398981,plain,
( ~ aElementOf0(xQ,slbdtsldtrb0(xO,xK))
| ~ aElementOf0(xK,szNzAzT0)
| ~ aSet0(xO)
| sbrdtbr0(xQ) = xK ),
inference(instantiation,[status(thm)],[c_153]) ).
cnf(c_399026,plain,
( X0 != xK
| X1 != szNzAzT0
| ~ aElementOf0(xK,szNzAzT0)
| aElementOf0(X0,X1) ),
inference(instantiation,[status(thm)],[c_12755]) ).
cnf(c_399536,plain,
( ~ aElementOf0(xK,szNzAzT0)
| ~ aSet0(xO)
| sbrdtbr0(xQ) = xK ),
inference(superposition,[status(thm)],[c_248,c_153]) ).
cnf(c_399603,plain,
sbrdtbr0(xQ) = xK,
inference(global_subsumption_just,[status(thm)],[c_399536,c_243,c_194,c_248,c_398981]) ).
cnf(c_399606,plain,
( ~ aElementOf0(sbrdtbr0(xQ),szNzAzT0)
| ~ aSubsetOf0(xQ,X0)
| ~ aSet0(X0)
| aElementOf0(xQ,slbdtsldtrb0(X0,xK)) ),
inference(superposition,[status(thm)],[c_399603,c_152]) ).
cnf(c_399637,plain,
( X1 != szNzAzT0
| X0 != xK
| aElementOf0(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_399026,c_232786]) ).
cnf(c_399638,plain,
( X0 != xK
| X1 != szNzAzT0
| aElementOf0(X0,X1) ),
inference(renaming,[status(thm)],[c_399637]) ).
cnf(c_399661,plain,
( sbrdtbr0(xQ) != xK
| X0 != szNzAzT0
| aElementOf0(sbrdtbr0(xQ),X0) ),
inference(instantiation,[status(thm)],[c_399638]) ).
cnf(c_399662,plain,
( sbrdtbr0(xQ) != xK
| szNzAzT0 != szNzAzT0
| aElementOf0(sbrdtbr0(xQ),szNzAzT0) ),
inference(instantiation,[status(thm)],[c_399661]) ).
cnf(c_405801,plain,
( ~ aSubsetOf0(xQ,X0)
| ~ aSet0(X0)
| aElementOf0(xQ,slbdtsldtrb0(X0,xK)) ),
inference(global_subsumption_just,[status(thm)],[c_399606,c_243,c_95,c_194,c_248,c_256,c_333,c_398981,c_399606,c_399662]) ).
cnf(c_405804,plain,
( ~ aSubsetOf0(xQ,xS)
| ~ aSet0(xS)
| aElementOf0(xQ,szDzozmdt0(xc)) ),
inference(superposition,[status(thm)],[c_198,c_405801]) ).
cnf(c_405811,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_405804,c_16057,c_15712,c_15716,c_252,c_95]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM607+1 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n009.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Aug 25 12:52:06 EDT 2023
% 0.12/0.34 % 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
% 184.30/25.29 % SZS status Started for theBenchmark.p
% 184.30/25.29 % SZS status Theorem for theBenchmark.p
% 184.30/25.29
% 184.30/25.29 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 184.30/25.29
% 184.30/25.29 ------ iProver source info
% 184.30/25.29
% 184.30/25.29 git: date: 2023-05-31 18:12:56 +0000
% 184.30/25.29 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 184.30/25.29 git: non_committed_changes: false
% 184.30/25.29 git: last_make_outside_of_git: false
% 184.30/25.29
% 184.30/25.29 ------ Parsing...
% 184.30/25.29 ------ Clausification by vclausify_rel & Parsing by iProver...
% 184.30/25.29
% 184.30/25.29 ------ 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: 2 0s sf_e pe_s pe_e
% 184.30/25.29
% 184.30/25.29 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 184.30/25.29
% 184.30/25.29 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 184.30/25.29 ------ Proving...
% 184.30/25.29 ------ Problem Properties
% 184.30/25.29
% 184.30/25.29
% 184.30/25.29 clauses 199
% 184.30/25.29 conjectures 1
% 184.30/25.29 EPR 47
% 184.30/25.29 Horn 160
% 184.30/25.29 unary 41
% 184.30/25.29 binary 32
% 184.30/25.29 lits 654
% 184.30/25.29 lits eq 104
% 184.30/25.29 fd_pure 0
% 184.30/25.29 fd_pseudo 0
% 184.30/25.29 fd_cond 10
% 184.30/25.29 fd_pseudo_cond 25
% 184.30/25.29 AC symbols 0
% 184.30/25.29
% 184.30/25.29 ------ Input Options Time Limit: Unbounded
% 184.30/25.29
% 184.30/25.29
% 184.30/25.29 ------
% 184.30/25.29 Current options:
% 184.30/25.29 ------
% 184.30/25.29
% 184.30/25.29
% 184.30/25.29
% 184.30/25.29
% 184.30/25.29 ------ Proving...
% 184.30/25.29
% 184.30/25.29
% 184.30/25.29 ------ Proving...
% 184.30/25.29
% 184.30/25.29
% 184.30/25.29 ------ Proving...
% 184.30/25.29
% 184.30/25.29
% 184.30/25.29 % SZS status Theorem for theBenchmark.p
% 184.30/25.29
% 184.30/25.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 184.30/25.29
% 184.30/25.30
%------------------------------------------------------------------------------