TSTP Solution File: NUM528+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM528+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n018.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 : Wed Aug 31 18:05:38 EDT 2022
% Result : Theorem 6.24s 1.16s
% Output : Refutation 6.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 35
% Syntax : Number of formulae : 202 ( 18 unt; 0 def)
% Number of atoms : 753 ( 190 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 933 ( 382 ~; 398 |; 101 &)
% ( 25 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 13 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 176 ( 160 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7357,plain,
$false,
inference(avatar_sat_refutation,[],[f281,f299,f308,f309,f312,f386,f390,f521,f1121,f1619,f6255,f7188,f7352]) ).
fof(f7352,plain,
( spl4_1
| ~ spl4_7
| ~ spl4_114 ),
inference(avatar_contradiction_clause,[],[f7351]) ).
fof(f7351,plain,
( $false
| spl4_1
| ~ spl4_7
| ~ spl4_114 ),
inference(subsumption_resolution,[],[f7350,f6221]) ).
fof(f6221,plain,
( sdtlseqdt0(xn,xn)
| ~ spl4_114 ),
inference(avatar_component_clause,[],[f6220]) ).
fof(f6220,plain,
( spl4_114
<=> sdtlseqdt0(xn,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_114])]) ).
fof(f7350,plain,
( ~ sdtlseqdt0(xn,xn)
| spl4_1
| ~ spl4_7 ),
inference(forward_demodulation,[],[f276,f303]) ).
fof(f303,plain,
( xn = xm
| ~ spl4_7 ),
inference(avatar_component_clause,[],[f301]) ).
fof(f301,plain,
( spl4_7
<=> xn = xm ),
introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).
fof(f276,plain,
( ~ sdtlseqdt0(xn,xm)
| spl4_1 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f274,plain,
( spl4_1
<=> sdtlseqdt0(xn,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f7188,plain,
( ~ spl4_2
| ~ spl4_6
| ~ spl4_9
| ~ spl4_10
| spl4_15
| spl4_37 ),
inference(avatar_contradiction_clause,[],[f7187]) ).
fof(f7187,plain,
( $false
| ~ spl4_2
| ~ spl4_6
| ~ spl4_9
| ~ spl4_10
| spl4_15
| spl4_37 ),
inference(subsumption_resolution,[],[f7186,f1110]) ).
fof(f1110,plain,
( sz10 != xp
| spl4_37 ),
inference(avatar_component_clause,[],[f1109]) ).
fof(f1109,plain,
( spl4_37
<=> sz10 = xp ),
introduced(avatar_definition,[new_symbols(naming,[spl4_37])]) ).
fof(f7186,plain,
( sz10 = xp
| ~ spl4_2
| ~ spl4_6
| ~ spl4_9
| ~ spl4_10
| spl4_15 ),
inference(forward_demodulation,[],[f7185,f7141]) ).
fof(f7141,plain,
( sz10 = sdtsldt0(sdtasdt0(xn,xn),sdtasdt0(xn,xn))
| ~ spl4_2
| ~ spl4_6
| ~ spl4_9
| ~ spl4_10
| spl4_15 ),
inference(forward_demodulation,[],[f7140,f1051]) ).
fof(f1051,plain,
( sdtasdt0(xm,xm) = sdtasdt0(xn,xn)
| ~ spl4_2
| ~ spl4_9
| ~ spl4_10 ),
inference(subsumption_resolution,[],[f1050,f384]) ).
fof(f384,plain,
( aNaturalNumber0(sdtasdt0(xm,xm))
| ~ spl4_10 ),
inference(avatar_component_clause,[],[f383]) ).
fof(f383,plain,
( spl4_10
<=> aNaturalNumber0(sdtasdt0(xm,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_10])]) ).
fof(f1050,plain,
( sdtasdt0(xm,xm) = sdtasdt0(xn,xn)
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ spl4_2
| ~ spl4_9
| ~ spl4_10 ),
inference(subsumption_resolution,[],[f1049,f381]) ).
fof(f381,plain,
( aNaturalNumber0(sdtasdt0(xn,xn))
| ~ spl4_9 ),
inference(avatar_component_clause,[],[f379]) ).
fof(f379,plain,
( spl4_9
<=> aNaturalNumber0(sdtasdt0(xn,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_9])]) ).
fof(f1049,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,xn))
| sdtasdt0(xm,xm) = sdtasdt0(xn,xn)
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ spl4_2
| ~ spl4_10 ),
inference(subsumption_resolution,[],[f991,f898]) ).
fof(f898,plain,
( sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xn,xn))
| ~ spl4_10 ),
inference(subsumption_resolution,[],[f897,f194]) ).
fof(f194,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f40]) ).
fof(f40,axiom,
( aNaturalNumber0(xn)
& sz00 != xn
& sz00 != xp
& sz00 != xm
& aNaturalNumber0(xm)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2987) ).
fof(f897,plain,
( sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xn,xn))
| ~ aNaturalNumber0(xp)
| ~ spl4_10 ),
inference(subsumption_resolution,[],[f896,f384]) ).
fof(f896,plain,
( sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(xp)
| ~ spl4_10 ),
inference(subsumption_resolution,[],[f859,f197]) ).
fof(f197,plain,
sz00 != xp,
inference(cnf_transformation,[],[f40]) ).
fof(f859,plain,
( sz00 = xp
| ~ aNaturalNumber0(xp)
| sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ spl4_10 ),
inference(superposition,[],[f204,f604]) ).
fof(f604,plain,
( sdtasdt0(xn,xn) = sdtasdt0(sdtasdt0(xm,xm),xp)
| ~ spl4_10 ),
inference(forward_demodulation,[],[f599,f191]) ).
fof(f191,plain,
sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
inference(cnf_transformation,[],[f42]) ).
fof(f42,axiom,
sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3014) ).
fof(f599,plain,
( sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(sdtasdt0(xm,xm),xp)
| ~ spl4_10 ),
inference(resolution,[],[f550,f384]) ).
fof(f550,plain,
! [X12] :
( ~ aNaturalNumber0(X12)
| sdtasdt0(xp,X12) = sdtasdt0(X12,xp) ),
inference(resolution,[],[f179,f194]) ).
fof(f179,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(rectify,[],[f121]) ).
fof(f121,plain,
! [X1,X0] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(flattening,[],[f120]) ).
fof(f120,plain,
! [X1,X0] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X1,X0] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).
fof(f204,plain,
! [X0,X1] :
( sdtlseqdt0(X1,sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = X0 ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
! [X0,X1] :
( sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,sdtasdt0(X1,X0)) ),
inference(flattening,[],[f138]) ).
fof(f138,plain,
! [X0,X1] :
( sdtlseqdt0(X1,sdtasdt0(X1,X0))
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sz00 != X0
=> sdtlseqdt0(X1,sdtasdt0(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMonMul2) ).
fof(f991,plain,
( ~ sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| sdtasdt0(xm,xm) = sdtasdt0(xn,xn)
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ spl4_2 ),
inference(resolution,[],[f176,f280]) ).
fof(f280,plain,
( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm))
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f278]) ).
fof(f278,plain,
( spl4_2
<=> sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f176,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0,X1] :
( X0 = X1
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X0) ),
inference(flattening,[],[f70]) ).
fof(f70,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X1,X0) )
=> X0 = X1 ) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X1,X0] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEAsym) ).
fof(f7140,plain,
( sz10 = sdtsldt0(sdtasdt0(xm,xm),sdtasdt0(xm,xm))
| ~ spl4_6
| ~ spl4_10
| spl4_15 ),
inference(subsumption_resolution,[],[f7139,f384]) ).
fof(f7139,plain,
( ~ aNaturalNumber0(sdtasdt0(xm,xm))
| sz10 = sdtsldt0(sdtasdt0(xm,xm),sdtasdt0(xm,xm))
| ~ spl4_6
| ~ spl4_10
| spl4_15 ),
inference(subsumption_resolution,[],[f7138,f879]) ).
fof(f879,plain,
( sz00 != sdtasdt0(xm,xm)
| spl4_15 ),
inference(avatar_component_clause,[],[f878]) ).
fof(f878,plain,
( spl4_15
<=> sz00 = sdtasdt0(xm,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_15])]) ).
fof(f7138,plain,
( sz00 = sdtasdt0(xm,xm)
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| sz10 = sdtsldt0(sdtasdt0(xm,xm),sdtasdt0(xm,xm))
| ~ spl4_6
| ~ spl4_10 ),
inference(subsumption_resolution,[],[f7137,f642]) ).
fof(f642,plain,
( doDivides0(sdtasdt0(xm,xm),sdtasdt0(xm,xm))
| ~ spl4_6
| ~ spl4_10 ),
inference(subsumption_resolution,[],[f641,f297]) ).
fof(f297,plain,
( aNaturalNumber0(sz10)
| ~ spl4_6 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f296,plain,
( spl4_6
<=> aNaturalNumber0(sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).
fof(f641,plain,
( ~ aNaturalNumber0(sz10)
| doDivides0(sdtasdt0(xm,xm),sdtasdt0(xm,xm))
| ~ spl4_10 ),
inference(subsumption_resolution,[],[f639,f384]) ).
fof(f639,plain,
( doDivides0(sdtasdt0(xm,xm),sdtasdt0(xm,xm))
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(sz10)
| ~ spl4_10 ),
inference(superposition,[],[f310,f399]) ).
fof(f399,plain,
( sdtasdt0(xm,xm) = sdtasdt0(sdtasdt0(xm,xm),sz10)
| ~ spl4_10 ),
inference(resolution,[],[f384,f207]) ).
fof(f207,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sz10) = X0 ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) = X0
& sdtasdt0(sz10,X0) = X0 ) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtasdt0(X0,sz10) = X0
& sdtasdt0(sz10,X0) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_MulUnit) ).
fof(f310,plain,
! [X3,X1] :
( doDivides0(X1,sdtasdt0(X1,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
inference(subsumption_resolution,[],[f268,f219]) ).
fof(f219,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f156]) ).
fof(f156,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(rectify,[],[f80]) ).
fof(f80,plain,
! [X1,X0] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtasdt0(X1,X0)) ),
inference(flattening,[],[f79]) ).
fof(f79,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtasdt0(X1,X0)) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1,X0] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f268,plain,
! [X3,X1] :
( ~ aNaturalNumber0(X1)
| doDivides0(X1,sdtasdt0(X1,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(sdtasdt0(X1,X3)) ),
inference(equality_resolution,[],[f235]) ).
fof(f235,plain,
! [X3,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| doDivides0(X1,X0)
| sdtasdt0(X1,X3) != X0
| ~ aNaturalNumber0(X3) ),
inference(cnf_transformation,[],[f163]) ).
fof(f163,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ( ( ( sdtasdt0(X1,sK1(X0,X1)) = X0
& aNaturalNumber0(sK1(X0,X1)) )
| ~ doDivides0(X1,X0) )
& ( doDivides0(X1,X0)
| ! [X3] :
( sdtasdt0(X1,X3) != X0
| ~ aNaturalNumber0(X3) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f161,f162]) ).
fof(f162,plain,
! [X0,X1] :
( ? [X2] :
( sdtasdt0(X1,X2) = X0
& aNaturalNumber0(X2) )
=> ( sdtasdt0(X1,sK1(X0,X1)) = X0
& aNaturalNumber0(sK1(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f161,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ( ( ? [X2] :
( sdtasdt0(X1,X2) = X0
& aNaturalNumber0(X2) )
| ~ doDivides0(X1,X0) )
& ( doDivides0(X1,X0)
| ! [X3] :
( sdtasdt0(X1,X3) != X0
| ~ aNaturalNumber0(X3) ) ) ) ),
inference(rectify,[],[f160]) ).
fof(f160,plain,
! [X1,X0] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( ( ? [X2] :
( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) )
| ~ doDivides0(X0,X1) )
& ( doDivides0(X0,X1)
| ! [X2] :
( sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) ) ) ) ),
inference(nnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X1,X0] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( ? [X2] :
( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) )
<=> doDivides0(X0,X1) ) ),
inference(flattening,[],[f74]) ).
fof(f74,plain,
! [X0,X1] :
( ( ? [X2] :
( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) )
<=> doDivides0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ? [X2] :
( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) )
<=> doDivides0(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiv) ).
fof(f7137,plain,
( ~ doDivides0(sdtasdt0(xm,xm),sdtasdt0(xm,xm))
| sz00 = sdtasdt0(xm,xm)
| sz10 = sdtsldt0(sdtasdt0(xm,xm),sdtasdt0(xm,xm))
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ spl4_6
| ~ spl4_10 ),
inference(subsumption_resolution,[],[f7100,f297]) ).
fof(f7100,plain,
( ~ aNaturalNumber0(sz10)
| ~ doDivides0(sdtasdt0(xm,xm),sdtasdt0(xm,xm))
| sz00 = sdtasdt0(xm,xm)
| sz10 = sdtsldt0(sdtasdt0(xm,xm),sdtasdt0(xm,xm))
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ spl4_10 ),
inference(duplicate_literal_removal,[],[f7059]) ).
fof(f7059,plain,
( ~ aNaturalNumber0(sz10)
| sz00 = sdtasdt0(xm,xm)
| sz10 = sdtsldt0(sdtasdt0(xm,xm),sdtasdt0(xm,xm))
| ~ doDivides0(sdtasdt0(xm,xm),sdtasdt0(xm,xm))
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ spl4_10 ),
inference(superposition,[],[f262,f399]) ).
fof(f262,plain,
! [X2,X0] :
( ~ doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0)
| sdtsldt0(sdtasdt0(X0,X2),X0) = X2
| sz00 = X0
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2) ),
inference(equality_resolution,[],[f213]) ).
fof(f213,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| sdtsldt0(X1,X0) = X2
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1
| sz00 = X0 ),
inference(cnf_transformation,[],[f153]) ).
fof(f153,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ! [X2] :
( ( ( aNaturalNumber0(X2)
& sdtasdt0(X0,X2) = X1 )
| sdtsldt0(X1,X0) != X2 )
& ( sdtsldt0(X1,X0) = X2
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 ) )
| sz00 = X0 ),
inference(rectify,[],[f152]) ).
fof(f152,plain,
! [X1,X0] :
( ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X0)
| ! [X2] :
( ( ( aNaturalNumber0(X2)
& sdtasdt0(X1,X2) = X0 )
| sdtsldt0(X0,X1) != X2 )
& ( sdtsldt0(X0,X1) = X2
| ~ aNaturalNumber0(X2)
| sdtasdt0(X1,X2) != X0 ) )
| sz00 = X1 ),
inference(flattening,[],[f151]) ).
fof(f151,plain,
! [X1,X0] :
( ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X0)
| ! [X2] :
( ( ( aNaturalNumber0(X2)
& sdtasdt0(X1,X2) = X0 )
| sdtsldt0(X0,X1) != X2 )
& ( sdtsldt0(X0,X1) = X2
| ~ aNaturalNumber0(X2)
| sdtasdt0(X1,X2) != X0 ) )
| sz00 = X1 ),
inference(nnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X1,X0] :
( ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X0)
| ! [X2] :
( ( aNaturalNumber0(X2)
& sdtasdt0(X1,X2) = X0 )
<=> sdtsldt0(X0,X1) = X2 )
| sz00 = X1 ),
inference(flattening,[],[f116]) ).
fof(f116,plain,
! [X1,X0] :
( ! [X2] :
( ( aNaturalNumber0(X2)
& sdtasdt0(X1,X2) = X0 )
<=> sdtsldt0(X0,X1) = X2 )
| ~ doDivides0(X1,X0)
| sz00 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,plain,
! [X1,X0] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X1,X0)
& sz00 != X1 )
=> ! [X2] :
( ( aNaturalNumber0(X2)
& sdtasdt0(X1,X2) = X0 )
<=> sdtsldt0(X0,X1) = X2 ) ) ),
inference(rectify,[],[f31]) ).
fof(f31,axiom,
! [X1,X0] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( doDivides0(X0,X1)
& sz00 != X0 )
=> ! [X2] :
( ( aNaturalNumber0(X2)
& sdtasdt0(X0,X2) = X1 )
<=> sdtsldt0(X1,X0) = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefQuot) ).
fof(f7185,plain,
( xp = sdtsldt0(sdtasdt0(xn,xn),sdtasdt0(xn,xn))
| ~ spl4_2
| ~ spl4_9
| ~ spl4_10
| spl4_15 ),
inference(forward_demodulation,[],[f7184,f1051]) ).
fof(f7184,plain,
( xp = sdtsldt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm))
| ~ spl4_9
| ~ spl4_10
| spl4_15 ),
inference(subsumption_resolution,[],[f7183,f381]) ).
fof(f7183,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,xn))
| xp = sdtsldt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm))
| ~ spl4_10
| spl4_15 ),
inference(subsumption_resolution,[],[f7182,f879]) ).
fof(f7182,plain,
( sz00 = sdtasdt0(xm,xm)
| xp = sdtsldt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ spl4_10 ),
inference(subsumption_resolution,[],[f7181,f194]) ).
fof(f7181,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| sz00 = sdtasdt0(xm,xm)
| xp = sdtsldt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm))
| ~ spl4_10 ),
inference(subsumption_resolution,[],[f7180,f384]) ).
fof(f7180,plain,
( ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| xp = sdtsldt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm))
| sz00 = sdtasdt0(xm,xm)
| ~ spl4_10 ),
inference(subsumption_resolution,[],[f7081,f650]) ).
fof(f650,plain,
( doDivides0(sdtasdt0(xm,xm),sdtasdt0(xn,xn))
| ~ spl4_10 ),
inference(subsumption_resolution,[],[f649,f194]) ).
fof(f649,plain,
( doDivides0(sdtasdt0(xm,xm),sdtasdt0(xn,xn))
| ~ aNaturalNumber0(xp)
| ~ spl4_10 ),
inference(subsumption_resolution,[],[f647,f384]) ).
fof(f647,plain,
( doDivides0(sdtasdt0(xm,xm),sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(xp)
| ~ spl4_10 ),
inference(superposition,[],[f310,f604]) ).
fof(f7081,plain,
( ~ doDivides0(sdtasdt0(xm,xm),sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| xp = sdtsldt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm))
| sz00 = sdtasdt0(xm,xm)
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ aNaturalNumber0(xp)
| ~ spl4_10 ),
inference(superposition,[],[f262,f604]) ).
fof(f6255,plain,
spl4_114,
inference(avatar_contradiction_clause,[],[f6254]) ).
fof(f6254,plain,
( $false
| spl4_114 ),
inference(subsumption_resolution,[],[f6249,f199]) ).
fof(f199,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f40]) ).
fof(f6249,plain,
( ~ aNaturalNumber0(xn)
| spl4_114 ),
inference(resolution,[],[f6222,f240]) ).
fof(f240,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLERefl) ).
fof(f6222,plain,
( ~ sdtlseqdt0(xn,xn)
| spl4_114 ),
inference(avatar_component_clause,[],[f6220]) ).
fof(f1619,plain,
( spl4_5
| ~ spl4_37 ),
inference(avatar_contradiction_clause,[],[f1618]) ).
fof(f1618,plain,
( $false
| spl4_5
| ~ spl4_37 ),
inference(subsumption_resolution,[],[f1579,f294]) ).
fof(f294,plain,
( ~ isPrime0(sz10)
| spl4_5 ),
inference(avatar_component_clause,[],[f292]) ).
fof(f292,plain,
( spl4_5
<=> isPrime0(sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).
fof(f1579,plain,
( isPrime0(sz10)
| ~ spl4_37 ),
inference(superposition,[],[f180,f1111]) ).
fof(f1111,plain,
( sz10 = xp
| ~ spl4_37 ),
inference(avatar_component_clause,[],[f1109]) ).
fof(f180,plain,
isPrime0(xp),
inference(cnf_transformation,[],[f43]) ).
fof(f43,axiom,
isPrime0(xp),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3025) ).
fof(f1121,plain,
( ~ spl4_3
| ~ spl4_15 ),
inference(avatar_contradiction_clause,[],[f1120]) ).
fof(f1120,plain,
( $false
| ~ spl4_3
| ~ spl4_15 ),
inference(subsumption_resolution,[],[f1119,f952]) ).
fof(f952,plain,
( sdtlseqdt0(xm,sz00)
| ~ spl4_15 ),
inference(subsumption_resolution,[],[f951,f196]) ).
fof(f196,plain,
sz00 != xm,
inference(cnf_transformation,[],[f40]) ).
fof(f951,plain,
( sz00 = xm
| sdtlseqdt0(xm,sz00)
| ~ spl4_15 ),
inference(subsumption_resolution,[],[f950,f195]) ).
fof(f195,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f40]) ).
fof(f950,plain,
( ~ aNaturalNumber0(xm)
| sdtlseqdt0(xm,sz00)
| sz00 = xm
| ~ spl4_15 ),
inference(duplicate_literal_removal,[],[f945]) ).
fof(f945,plain,
( sz00 = xm
| sdtlseqdt0(xm,sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xm)
| ~ spl4_15 ),
inference(superposition,[],[f204,f880]) ).
fof(f880,plain,
( sz00 = sdtasdt0(xm,xm)
| ~ spl4_15 ),
inference(avatar_component_clause,[],[f878]) ).
fof(f1119,plain,
( ~ sdtlseqdt0(xm,sz00)
| ~ spl4_3 ),
inference(subsumption_resolution,[],[f1118,f284]) ).
fof(f284,plain,
( aNaturalNumber0(sz00)
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f283]) ).
fof(f283,plain,
( spl4_3
<=> aNaturalNumber0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f1118,plain,
( ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(xm,sz00)
| ~ spl4_3 ),
inference(subsumption_resolution,[],[f1117,f196]) ).
fof(f1117,plain,
( sz00 = xm
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(xm,sz00)
| ~ spl4_3 ),
inference(subsumption_resolution,[],[f985,f195]) ).
fof(f985,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00)
| sz00 = xm
| ~ sdtlseqdt0(xm,sz00)
| ~ spl4_3 ),
inference(resolution,[],[f176,f493]) ).
fof(f493,plain,
( sdtlseqdt0(sz00,xm)
| ~ spl4_3 ),
inference(subsumption_resolution,[],[f492,f195]) ).
fof(f492,plain,
( sdtlseqdt0(sz00,xm)
| ~ aNaturalNumber0(xm)
| ~ spl4_3 ),
inference(subsumption_resolution,[],[f481,f284]) ).
fof(f481,plain,
( ~ aNaturalNumber0(sz00)
| sdtlseqdt0(sz00,xm)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[],[f311,f336]) ).
fof(f336,plain,
xm = sdtpldt0(sz00,xm),
inference(resolution,[],[f211,f195]) ).
fof(f211,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sz00,X0) = X0 ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0] :
( ( sdtpldt0(X0,sz00) = X0
& sdtpldt0(sz00,X0) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtpldt0(X0,sz00) = X0
& sdtpldt0(sz00,X0) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_AddZero) ).
fof(f311,plain,
! [X2,X0] :
( sdtlseqdt0(X0,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0) ),
inference(subsumption_resolution,[],[f271,f177]) ).
fof(f177,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(rectify,[],[f112]) ).
fof(f112,plain,
! [X1,X0] :
( aNaturalNumber0(sdtpldt0(X1,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f111]) ).
fof(f111,plain,
! [X1,X0] :
( aNaturalNumber0(sdtpldt0(X1,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,plain,
! [X1,X0] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtpldt0(X1,X0)) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X1,X0] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB) ).
fof(f271,plain,
! [X2,X0] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X0,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(X0,X2)) ),
inference(equality_resolution,[],[f256]) ).
fof(f256,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f174]) ).
fof(f174,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ( ( sdtlseqdt0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1 ) )
& ( ( aNaturalNumber0(sK3(X0,X1))
& sdtpldt0(X0,sK3(X0,X1)) = X1 )
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aNaturalNumber0(X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f172,f173]) ).
fof(f173,plain,
! [X0,X1] :
( ? [X3] :
( aNaturalNumber0(X3)
& sdtpldt0(X0,X3) = X1 )
=> ( aNaturalNumber0(sK3(X0,X1))
& sdtpldt0(X0,sK3(X0,X1)) = X1 ) ),
introduced(choice_axiom,[]) ).
fof(f172,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ( ( sdtlseqdt0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1 ) )
& ( ? [X3] :
( aNaturalNumber0(X3)
& sdtpldt0(X0,X3) = X1 )
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aNaturalNumber0(X1) ),
inference(rectify,[],[f171]) ).
fof(f171,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ( ( sdtlseqdt0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1 ) )
& ( ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 )
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aNaturalNumber0(X1) ),
inference(nnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) )
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f99]) ).
fof(f99,plain,
! [X1,X0] :
( ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X1,X0] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefLE) ).
fof(f521,plain,
( spl4_1
| spl4_8 ),
inference(avatar_split_clause,[],[f520,f305,f274]) ).
fof(f305,plain,
( spl4_8
<=> sdtlseqdt0(xm,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).
fof(f520,plain,
( sdtlseqdt0(xn,xm)
| spl4_8 ),
inference(subsumption_resolution,[],[f519,f195]) ).
fof(f519,plain,
( sdtlseqdt0(xn,xm)
| ~ aNaturalNumber0(xm)
| spl4_8 ),
inference(subsumption_resolution,[],[f498,f199]) ).
fof(f498,plain,
( ~ aNaturalNumber0(xn)
| sdtlseqdt0(xn,xm)
| ~ aNaturalNumber0(xm)
| spl4_8 ),
inference(resolution,[],[f230,f307]) ).
fof(f307,plain,
( ~ sdtlseqdt0(xm,xn)
| spl4_8 ),
inference(avatar_component_clause,[],[f305]) ).
fof(f230,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ( X0 != X1
& sdtlseqdt0(X1,X0) ) ),
inference(flattening,[],[f124]) ).
fof(f124,plain,
! [X1,X0] :
( ( X0 != X1
& sdtlseqdt0(X1,X0) )
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X1,X0] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( X0 != X1
& sdtlseqdt0(X1,X0) )
| sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETotal) ).
fof(f390,plain,
spl4_10,
inference(avatar_contradiction_clause,[],[f389]) ).
fof(f389,plain,
( $false
| spl4_10 ),
inference(subsumption_resolution,[],[f388,f195]) ).
fof(f388,plain,
( ~ aNaturalNumber0(xm)
| spl4_10 ),
inference(duplicate_literal_removal,[],[f387]) ).
fof(f387,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xm)
| spl4_10 ),
inference(resolution,[],[f385,f219]) ).
fof(f385,plain,
( ~ aNaturalNumber0(sdtasdt0(xm,xm))
| spl4_10 ),
inference(avatar_component_clause,[],[f383]) ).
fof(f386,plain,
( spl4_9
| ~ spl4_10 ),
inference(avatar_split_clause,[],[f377,f383,f379]) ).
fof(f377,plain,
( ~ aNaturalNumber0(sdtasdt0(xm,xm))
| aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(subsumption_resolution,[],[f376,f194]) ).
fof(f376,plain,
( aNaturalNumber0(sdtasdt0(xn,xn))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xm,xm)) ),
inference(superposition,[],[f219,f191]) ).
fof(f312,plain,
spl4_6,
inference(avatar_split_clause,[],[f233,f296]) ).
fof(f233,plain,
aNaturalNumber0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( aNaturalNumber0(sz10)
& sz00 != sz10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC_01) ).
fof(f309,plain,
spl4_3,
inference(avatar_split_clause,[],[f189,f283]) ).
fof(f189,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).
fof(f308,plain,
( spl4_7
| ~ spl4_8 ),
inference(avatar_split_clause,[],[f178,f305,f301]) ).
fof(f178,plain,
( ~ sdtlseqdt0(xm,xn)
| xn = xm ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
( xn = xm
| ~ sdtlseqdt0(xm,xn) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,negated_conjecture,
~ ( xn != xm
& sdtlseqdt0(xm,xn) ),
inference(negated_conjecture,[],[f48]) ).
fof(f48,conjecture,
( xn != xm
& sdtlseqdt0(xm,xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f299,plain,
( ~ spl4_5
| ~ spl4_6 ),
inference(avatar_split_clause,[],[f269,f296,f292]) ).
fof(f269,plain,
( ~ aNaturalNumber0(sz10)
| ~ isPrime0(sz10) ),
inference(equality_resolution,[],[f246]) ).
fof(f246,plain,
! [X0] :
( sz10 != X0
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f170]) ).
fof(f170,plain,
! [X0] :
( ( ( isPrime0(X0)
| ( sz10 != sK2(X0)
& aNaturalNumber0(sK2(X0))
& sK2(X0) != X0
& doDivides0(sK2(X0),X0) )
| sz10 = X0
| sz00 = X0 )
& ( ( ! [X2] :
( sz10 = X2
| ~ aNaturalNumber0(X2)
| X0 = X2
| ~ doDivides0(X2,X0) )
& sz10 != X0
& sz00 != X0 )
| ~ isPrime0(X0) ) )
| ~ aNaturalNumber0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f168,f169]) ).
fof(f169,plain,
! [X0] :
( ? [X1] :
( sz10 != X1
& aNaturalNumber0(X1)
& X0 != X1
& doDivides0(X1,X0) )
=> ( sz10 != sK2(X0)
& aNaturalNumber0(sK2(X0))
& sK2(X0) != X0
& doDivides0(sK2(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f168,plain,
! [X0] :
( ( ( isPrime0(X0)
| ? [X1] :
( sz10 != X1
& aNaturalNumber0(X1)
& X0 != X1
& doDivides0(X1,X0) )
| sz10 = X0
| sz00 = X0 )
& ( ( ! [X2] :
( sz10 = X2
| ~ aNaturalNumber0(X2)
| X0 = X2
| ~ doDivides0(X2,X0) )
& sz10 != X0
& sz00 != X0 )
| ~ isPrime0(X0) ) )
| ~ aNaturalNumber0(X0) ),
inference(rectify,[],[f167]) ).
fof(f167,plain,
! [X0] :
( ( ( isPrime0(X0)
| ? [X1] :
( sz10 != X1
& aNaturalNumber0(X1)
& X0 != X1
& doDivides0(X1,X0) )
| sz10 = X0
| sz00 = X0 )
& ( ( ! [X1] :
( sz10 = X1
| ~ aNaturalNumber0(X1)
| X0 = X1
| ~ doDivides0(X1,X0) )
& sz10 != X0
& sz00 != X0 )
| ~ isPrime0(X0) ) )
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f166]) ).
fof(f166,plain,
! [X0] :
( ( ( isPrime0(X0)
| ? [X1] :
( sz10 != X1
& aNaturalNumber0(X1)
& X0 != X1
& doDivides0(X1,X0) )
| sz10 = X0
| sz00 = X0 )
& ( ( ! [X1] :
( sz10 = X1
| ~ aNaturalNumber0(X1)
| X0 = X1
| ~ doDivides0(X1,X0) )
& sz10 != X0
& sz00 != X0 )
| ~ isPrime0(X0) ) )
| ~ aNaturalNumber0(X0) ),
inference(nnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0] :
( ( isPrime0(X0)
<=> ( ! [X1] :
( sz10 = X1
| ~ aNaturalNumber0(X1)
| X0 = X1
| ~ doDivides0(X1,X0) )
& sz10 != X0
& sz00 != X0 ) )
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f101]) ).
fof(f101,plain,
! [X0] :
( ( ( sz10 != X0
& sz00 != X0
& ! [X1] :
( sz10 = X1
| X0 = X1
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1) ) )
<=> isPrime0(X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( ( sz10 != X0
& sz00 != X0
& ! [X1] :
( ( doDivides0(X1,X0)
& aNaturalNumber0(X1) )
=> ( sz10 = X1
| X0 = X1 ) ) )
<=> isPrime0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefPrime) ).
fof(f281,plain,
( ~ spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f186,f278,f274]) ).
fof(f186,plain,
( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm))
| ~ sdtlseqdt0(xn,xm) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
( ~ sdtlseqdt0(xn,xm)
| sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm)) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,axiom,
( sdtlseqdt0(xn,xm)
=> sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3152) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM528+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n018.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 : Tue Aug 30 06:59:40 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.47 % (2411)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.48 % (2426)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.48 % (2418)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.48 % (2434)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.49 % (2421)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.50 % (2437)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.50 % (2422)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.51 % (2416)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.51 % (2416)Instruction limit reached!
% 0.20/0.51 % (2416)------------------------------
% 0.20/0.51 % (2416)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (2416)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (2416)Termination reason: Unknown
% 0.20/0.51 % (2416)Termination phase: Preprocessing 3
% 0.20/0.51
% 0.20/0.51 % (2416)Memory used [KB]: 1023
% 0.20/0.51 % (2416)Time elapsed: 0.003 s
% 0.20/0.51 % (2416)Instructions burned: 2 (million)
% 0.20/0.51 % (2416)------------------------------
% 0.20/0.51 % (2416)------------------------------
% 0.20/0.51 % (2412)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (2428)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.52 % (2435)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.52 % (2408)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.52 % (2432)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.52 % (2429)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.52 % (2410)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.52 TRYING [1]
% 0.20/0.52 % (2409)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53 % (2431)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.53 % (2427)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53 % (2433)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.53 % (2423)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.53 % (2436)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.54 % (2425)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.54 % (2417)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54 % (2415)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.54 % (2424)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54 TRYING [1]
% 0.20/0.54 % (2419)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54 TRYING [2]
% 0.20/0.55 TRYING [3]
% 1.52/0.56 % (2414)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.52/0.56 % (2411)Instruction limit reached!
% 1.52/0.56 % (2411)------------------------------
% 1.52/0.56 % (2411)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.56 % (2411)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.56 % (2411)Termination reason: Unknown
% 1.52/0.56 % (2411)Termination phase: Saturation
% 1.52/0.56
% 1.52/0.56 % (2411)Memory used [KB]: 6268
% 1.52/0.56 % (2411)Time elapsed: 0.182 s
% 1.52/0.56 % (2411)Instructions burned: 51 (million)
% 1.52/0.56 % (2411)------------------------------
% 1.52/0.56 % (2411)------------------------------
% 1.52/0.56 TRYING [2]
% 1.52/0.56 % (2418)Instruction limit reached!
% 1.52/0.56 % (2418)------------------------------
% 1.52/0.56 % (2418)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.56 % (2418)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.56 % (2418)Termination reason: Unknown
% 1.52/0.56 % (2418)Termination phase: Saturation
% 1.52/0.56
% 1.52/0.56 % (2418)Memory used [KB]: 6524
% 1.52/0.56 % (2418)Time elapsed: 0.175 s
% 1.52/0.56 % (2418)Instructions burned: 51 (million)
% 1.52/0.56 % (2418)------------------------------
% 1.52/0.56 % (2418)------------------------------
% 1.52/0.56 % (2415)Instruction limit reached!
% 1.52/0.56 % (2415)------------------------------
% 1.52/0.56 % (2415)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.56 % (2415)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.56 % (2415)Termination reason: Unknown
% 1.52/0.56 % (2415)Termination phase: Saturation
% 1.52/0.56
% 1.52/0.56 % (2415)Memory used [KB]: 5628
% 1.52/0.56 % (2415)Time elapsed: 0.172 s
% 1.52/0.56 % (2415)Instructions burned: 7 (million)
% 1.52/0.56 % (2415)------------------------------
% 1.52/0.56 % (2415)------------------------------
% 1.52/0.56 % (2420)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.52/0.57 % (2413)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.52/0.57 TRYING [3]
% 1.70/0.58 TRYING [1]
% 1.70/0.58 % (2430)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.70/0.58 % (2410)Instruction limit reached!
% 1.70/0.58 % (2410)------------------------------
% 1.70/0.58 % (2410)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.58 % (2410)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.58 % (2410)Termination reason: Unknown
% 1.70/0.58 % (2410)Termination phase: Saturation
% 1.70/0.58
% 1.70/0.58 % (2410)Memory used [KB]: 1535
% 1.70/0.58 % (2410)Time elapsed: 0.171 s
% 1.70/0.58 % (2410)Instructions burned: 37 (million)
% 1.70/0.58 % (2410)------------------------------
% 1.70/0.58 % (2410)------------------------------
% 1.70/0.59 TRYING [2]
% 1.70/0.60 TRYING [3]
% 1.70/0.60 TRYING [4]
% 1.70/0.60 % (2434)Instruction limit reached!
% 1.70/0.60 % (2434)------------------------------
% 1.70/0.60 % (2434)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.60 % (2434)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.60 % (2434)Termination reason: Unknown
% 1.70/0.60 % (2434)Termination phase: Saturation
% 1.70/0.60
% 1.70/0.60 % (2434)Memory used [KB]: 6652
% 1.70/0.60 % (2434)Time elapsed: 0.037 s
% 1.70/0.60 % (2434)Instructions burned: 70 (million)
% 1.70/0.60 % (2434)------------------------------
% 1.70/0.60 % (2434)------------------------------
% 1.70/0.61 % (2409)Refutation not found, incomplete strategy% (2409)------------------------------
% 1.70/0.61 % (2409)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.61 % (2409)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.61 % (2409)Termination reason: Refutation not found, incomplete strategy
% 1.70/0.61
% 1.70/0.61 % (2409)Memory used [KB]: 6140
% 1.70/0.61 % (2409)Time elapsed: 0.206 s
% 1.70/0.61 % (2409)Instructions burned: 42 (million)
% 1.70/0.61 % (2409)------------------------------
% 1.70/0.61 % (2409)------------------------------
% 1.70/0.62 % (2417)Instruction limit reached!
% 1.70/0.62 % (2417)------------------------------
% 1.70/0.62 % (2417)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.62 % (2417)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.62 % (2417)Termination reason: Unknown
% 1.70/0.62 % (2417)Termination phase: Saturation
% 1.70/0.62
% 1.70/0.62 % (2417)Memory used [KB]: 1663
% 1.70/0.62 % (2417)Time elapsed: 0.226 s
% 1.70/0.62 % (2417)Instructions burned: 51 (million)
% 1.70/0.62 % (2417)------------------------------
% 1.70/0.62 % (2417)------------------------------
% 1.70/0.62 % (2425)Instruction limit reached!
% 1.70/0.62 % (2425)------------------------------
% 1.70/0.62 % (2425)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.62 % (2425)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.62 % (2425)Termination reason: Unknown
% 1.70/0.62 % (2425)Termination phase: Finite model building constraint generation
% 1.70/0.62
% 1.70/0.62 % (2425)Memory used [KB]: 7547
% 1.70/0.62 % (2425)Time elapsed: 0.188 s
% 1.70/0.62 % (2425)Instructions burned: 61 (million)
% 1.70/0.62 % (2425)------------------------------
% 1.70/0.62 % (2425)------------------------------
% 1.70/0.62 % (2422)Instruction limit reached!
% 1.70/0.62 % (2422)------------------------------
% 1.70/0.62 % (2422)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.62 % (2422)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.62 % (2422)Termination reason: Unknown
% 1.70/0.62 % (2422)Termination phase: Saturation
% 1.70/0.62
% 1.70/0.62 % (2422)Memory used [KB]: 6652
% 1.70/0.62 % (2422)Time elapsed: 0.075 s
% 1.70/0.62 % (2422)Instructions burned: 69 (million)
% 1.70/0.62 % (2422)------------------------------
% 1.70/0.62 % (2422)------------------------------
% 1.70/0.62 % (2412)Instruction limit reached!
% 1.70/0.62 % (2412)------------------------------
% 1.70/0.62 % (2412)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.62 % (2412)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.62 % (2412)Termination reason: Unknown
% 1.70/0.62 % (2412)Termination phase: Saturation
% 1.70/0.62
% 1.70/0.62 % (2412)Memory used [KB]: 6012
% 1.70/0.62 % (2412)Time elapsed: 0.215 s
% 1.70/0.62 % (2412)Instructions burned: 51 (million)
% 1.70/0.62 % (2412)------------------------------
% 1.70/0.62 % (2412)------------------------------
% 2.15/0.65 % (2413)Instruction limit reached!
% 2.15/0.65 % (2413)------------------------------
% 2.15/0.65 % (2413)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.65 % (2413)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.15/0.65 % (2413)Termination reason: Unknown
% 2.15/0.65 % (2413)Termination phase: Saturation
% 2.15/0.65
% 2.15/0.65 % (2413)Memory used [KB]: 6140
% 2.15/0.65 % (2413)Time elapsed: 0.257 s
% 2.15/0.65 % (2413)Instructions burned: 50 (million)
% 2.15/0.65 % (2413)------------------------------
% 2.15/0.65 % (2413)------------------------------
% 2.15/0.65 % (2414)Instruction limit reached!
% 2.15/0.65 % (2414)------------------------------
% 2.15/0.65 % (2414)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.65 % (2414)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.15/0.65 % (2414)Termination reason: Unknown
% 2.15/0.65 % (2414)Termination phase: Finite model building SAT solving
% 2.15/0.65
% 2.15/0.65 % (2414)Memory used [KB]: 7419
% 2.15/0.65 % (2414)Time elapsed: 0.193 s
% 2.15/0.65 % (2414)Instructions burned: 52 (million)
% 2.15/0.65 % (2414)------------------------------
% 2.15/0.65 % (2414)------------------------------
% 2.36/0.66 % (2438)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.36/0.66 % (2426)Instruction limit reached!
% 2.36/0.66 % (2426)------------------------------
% 2.36/0.66 % (2426)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.36/0.67 % (2423)Instruction limit reached!
% 2.36/0.67 % (2423)------------------------------
% 2.36/0.67 % (2423)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.36/0.67 % (2426)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.36/0.67 % (2426)Termination reason: Unknown
% 2.36/0.67 % (2426)Termination phase: Saturation
% 2.36/0.67
% 2.36/0.67 % (2426)Memory used [KB]: 6652
% 2.36/0.67 % (2426)Time elapsed: 0.262 s
% 2.36/0.67 % (2426)Instructions burned: 101 (million)
% 2.36/0.67 % (2426)------------------------------
% 2.36/0.67 % (2426)------------------------------
% 2.36/0.68 % (2423)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.36/0.68 % (2423)Termination reason: Unknown
% 2.36/0.68 % (2423)Termination phase: Saturation
% 2.36/0.68
% 2.36/0.68 % (2423)Memory used [KB]: 2174
% 2.36/0.68 % (2423)Time elapsed: 0.278 s
% 2.36/0.68 % (2423)Instructions burned: 75 (million)
% 2.36/0.68 % (2423)------------------------------
% 2.36/0.68 % (2423)------------------------------
% 2.36/0.69 % (2421)Instruction limit reached!
% 2.36/0.69 % (2421)------------------------------
% 2.36/0.69 % (2421)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.36/0.69 % (2440)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.36/0.69 % (2421)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.36/0.69 % (2421)Termination reason: Unknown
% 2.36/0.69 % (2421)Termination phase: Saturation
% 2.36/0.69
% 2.36/0.69 % (2421)Memory used [KB]: 6780
% 2.36/0.69 % (2421)Time elapsed: 0.276 s
% 2.36/0.69 % (2421)Instructions burned: 99 (million)
% 2.36/0.69 % (2421)------------------------------
% 2.36/0.69 % (2421)------------------------------
% 2.36/0.70 % (2439)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 2.36/0.71 % (2427)Instruction limit reached!
% 2.36/0.71 % (2427)------------------------------
% 2.36/0.71 % (2427)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.36/0.71 % (2427)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.36/0.71 % (2427)Termination reason: Unknown
% 2.36/0.71 % (2427)Termination phase: Saturation
% 2.36/0.71
% 2.36/0.71 % (2427)Memory used [KB]: 2046
% 2.36/0.71 % (2427)Time elapsed: 0.324 s
% 2.36/0.71 % (2427)Instructions burned: 101 (million)
% 2.36/0.71 % (2427)------------------------------
% 2.36/0.71 % (2427)------------------------------
% 2.36/0.71 % (2419)Instruction limit reached!
% 2.36/0.71 % (2419)------------------------------
% 2.36/0.71 % (2419)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.36/0.71 % (2419)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.36/0.71 % (2419)Termination reason: Unknown
% 2.36/0.71 % (2419)Termination phase: Saturation
% 2.36/0.71
% 2.36/0.71 % (2419)Memory used [KB]: 7291
% 2.36/0.71 % (2419)Time elapsed: 0.310 s
% 2.36/0.71 % (2419)Instructions burned: 101 (million)
% 2.36/0.71 % (2419)------------------------------
% 2.36/0.71 % (2419)------------------------------
% 2.70/0.73 % (2424)Instruction limit reached!
% 2.70/0.73 % (2424)------------------------------
% 2.70/0.73 % (2424)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.70/0.73 % (2424)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.70/0.73 % (2424)Termination reason: Unknown
% 2.70/0.73 % (2424)Termination phase: Saturation
% 2.70/0.73
% 2.70/0.73 % (2424)Memory used [KB]: 6652
% 2.70/0.73 % (2424)Time elapsed: 0.340 s
% 2.70/0.73 % (2424)Instructions burned: 99 (million)
% 2.70/0.73 % (2424)------------------------------
% 2.70/0.73 % (2424)------------------------------
% 2.70/0.73 % (2441)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.70/0.74 % (2442)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.70/0.75 % (2445)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/68Mi)
% 2.70/0.76 % (2444)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/655Mi)
% 2.70/0.76 % (2446)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/940Mi)
% 2.70/0.76 % (2420)Instruction limit reached!
% 2.70/0.76 % (2420)------------------------------
% 2.70/0.76 % (2420)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.70/0.76 % (2420)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.70/0.76 % (2420)Termination reason: Unknown
% 2.70/0.76 % (2420)Termination phase: Saturation
% 2.70/0.76
% 2.70/0.76 % (2420)Memory used [KB]: 6908
% 2.70/0.76 % (2420)Time elapsed: 0.320 s
% 2.70/0.76 % (2420)Instructions burned: 101 (million)
% 2.70/0.76 % (2420)------------------------------
% 2.70/0.76 % (2420)------------------------------
% 2.70/0.76 % (2429)Instruction limit reached!
% 2.70/0.76 % (2429)------------------------------
% 2.70/0.76 % (2429)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.70/0.76 % (2429)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.70/0.76 % (2429)Termination reason: Unknown
% 2.70/0.76 % (2429)Termination phase: Saturation
% 2.70/0.76
% 2.70/0.76 % (2429)Memory used [KB]: 6908
% 2.70/0.76 % (2429)Time elapsed: 0.315 s
% 2.70/0.76 % (2429)Instructions burned: 139 (million)
% 2.70/0.76 % (2429)------------------------------
% 2.70/0.76 % (2429)------------------------------
% 2.88/0.77 % (2443)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/747Mi)
% 2.88/0.77 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.88/0.77 % (2447)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/981Mi)
% 2.88/0.77 % (2428)Instruction limit reached!
% 2.88/0.77 % (2428)------------------------------
% 2.88/0.77 % (2428)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.88/0.77 % (2448)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.88/0.78 % (2428)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.88/0.78 % (2428)Termination reason: Unknown
% 2.88/0.78 % (2428)Termination phase: Saturation
% 2.88/0.78
% 2.88/0.78 % (2428)Memory used [KB]: 6140
% 2.88/0.78 % (2428)Time elapsed: 0.373 s
% 2.88/0.78 % (2428)Instructions burned: 177 (million)
% 2.88/0.78 % (2428)------------------------------
% 2.88/0.78 % (2428)------------------------------
% 2.88/0.78 % (2450)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3735Mi)
% 2.88/0.80 % (2451)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4958Mi)
% 2.88/0.81 % (2452)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4959Mi)
% 2.88/0.82 % (2449)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/2016Mi)
% 2.88/0.82 % (2435)Instruction limit reached!
% 2.88/0.82 % (2435)------------------------------
% 2.88/0.82 % (2435)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.88/0.82 % (2435)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.88/0.82 % (2435)Termination reason: Unknown
% 2.88/0.82 % (2435)Termination phase: Saturation
% 2.88/0.82
% 2.88/0.82 % (2435)Memory used [KB]: 3965
% 2.88/0.82 % (2435)Time elapsed: 0.363 s
% 2.88/0.82 % (2435)Instructions burned: 178 (million)
% 2.88/0.82 % (2435)------------------------------
% 2.88/0.82 % (2435)------------------------------
% 2.88/0.83 % (2453)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4756Mi)
% 3.07/0.85 TRYING [5]
% 3.07/0.85 % (2440)Instruction limit reached!
% 3.07/0.85 % (2440)------------------------------
% 3.07/0.85 % (2440)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.07/0.85 % (2440)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.07/0.85 % (2440)Termination reason: Unknown
% 3.07/0.85 % (2440)Termination phase: Saturation
% 3.07/0.85
% 3.07/0.85 % (2440)Memory used [KB]: 6396
% 3.07/0.85 % (2440)Time elapsed: 0.259 s
% 3.07/0.85 % (2440)Instructions burned: 92 (million)
% 3.07/0.85 % (2440)------------------------------
% 3.07/0.85 % (2440)------------------------------
% 3.07/0.85 % (2456)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/1824Mi)
% 3.07/0.86 % (2455)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 3.21/0.87 % (2454)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4931Mi)
% 3.21/0.88 % (2445)Instruction limit reached!
% 3.21/0.88 % (2445)------------------------------
% 3.21/0.88 % (2445)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.21/0.88 % (2445)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.21/0.88 % (2445)Termination reason: Unknown
% 3.21/0.88 % (2445)Termination phase: Saturation
% 3.21/0.88
% 3.21/0.88 % (2445)Memory used [KB]: 6652
% 3.21/0.88 % (2445)Time elapsed: 0.036 s
% 3.21/0.88 % (2445)Instructions burned: 68 (million)
% 3.21/0.88 % (2445)------------------------------
% 3.21/0.88 % (2445)------------------------------
% 3.21/0.89 % (2458)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2891Mi)
% 3.21/0.89 % (2459)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4585Mi)
% 3.21/0.92 % (2448)Instruction limit reached!
% 3.21/0.92 % (2448)------------------------------
% 3.21/0.92 % (2448)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.21/0.92 % (2448)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.21/0.92 % (2448)Termination reason: Unknown
% 3.21/0.92 % (2448)Termination phase: Saturation
% 3.21/0.92
% 3.21/0.92 % (2448)Memory used [KB]: 6396
% 3.21/0.92 % (2448)Time elapsed: 0.274 s
% 3.21/0.92 % (2448)Instructions burned: 90 (million)
% 3.21/0.92 % (2448)------------------------------
% 3.21/0.92 % (2448)------------------------------
% 3.46/0.95 % (2457)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2134Mi)
% 3.53/0.98 % (2455)Instruction limit reached!
% 3.53/0.98 % (2455)------------------------------
% 3.53/0.98 % (2455)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.53/0.98 % (2455)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.53/0.98 % (2455)Termination reason: Unknown
% 3.53/0.98 % (2455)Termination phase: Saturation
% 3.53/0.98
% 3.53/0.98 % (2455)Memory used [KB]: 6524
% 3.53/0.98 % (2455)Time elapsed: 0.036 s
% 3.53/0.98 % (2455)Instructions burned: 68 (million)
% 3.53/0.98 % (2455)------------------------------
% 3.53/0.98 % (2455)------------------------------
% 3.53/0.98 % (2461)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2016Mi)
% 3.53/1.01 % (2460)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/90Mi)
% 3.53/1.02 % (2462)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/8004Mi)
% 3.76/1.05 % (2439)Instruction limit reached!
% 3.76/1.05 % (2439)------------------------------
% 3.76/1.05 % (2439)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.76/1.05 % (2439)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.76/1.05 % (2439)Termination reason: Unknown
% 3.76/1.05 % (2439)Termination phase: Saturation
% 3.76/1.05
% 3.76/1.05 % (2439)Memory used [KB]: 3582
% 3.76/1.05 % (2439)Time elapsed: 0.475 s
% 3.76/1.05 % (2439)Instructions burned: 212 (million)
% 3.76/1.05 % (2439)------------------------------
% 3.76/1.05 % (2439)------------------------------
% 5.70/1.09 % (2463)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=9965:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/9965Mi)
% 5.70/1.09 % (2437)Instruction limit reached!
% 5.70/1.09 % (2437)------------------------------
% 5.70/1.09 % (2437)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.70/1.09 % (2437)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.70/1.09 % (2437)Termination reason: Unknown
% 5.70/1.09 % (2437)Termination phase: Saturation
% 5.70/1.09
% 5.70/1.09 % (2437)Memory used [KB]: 10490
% 5.70/1.09 % (2437)Time elapsed: 0.683 s
% 5.70/1.09 % (2437)Instructions burned: 355 (million)
% 5.70/1.09 % (2437)------------------------------
% 5.70/1.09 % (2437)------------------------------
% 5.70/1.14 % (2464)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=9877:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/9877Mi)
% 6.24/1.15 % (2433)First to succeed.
% 6.24/1.16 % (2433)Refutation found. Thanks to Tanya!
% 6.24/1.16 % SZS status Theorem for theBenchmark
% 6.24/1.16 % SZS output start Proof for theBenchmark
% See solution above
% 6.24/1.16 % (2433)------------------------------
% 6.24/1.16 % (2433)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.24/1.16 % (2433)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.24/1.16 % (2433)Termination reason: Refutation
% 6.24/1.16
% 6.24/1.16 % (2433)Memory used [KB]: 8827
% 6.24/1.16 % (2433)Time elapsed: 0.722 s
% 6.24/1.16 % (2433)Instructions burned: 326 (million)
% 6.24/1.16 % (2433)------------------------------
% 6.24/1.16 % (2433)------------------------------
% 6.24/1.16 % (2407)Success in time 0.806 s
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