TSTP Solution File: NUM514+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM514+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n023.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 : Sun May 5 08:34:56 EDT 2024
% Result : Theorem 0.22s 0.47s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 79
% Syntax : Number of formulae : 874 ( 140 unt; 0 def)
% Number of atoms : 2937 ( 993 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 3608 (1545 ~;1768 |; 196 &)
% ( 36 <=>; 63 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 28 ( 26 usr; 20 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-2 aty)
% Number of variables : 937 ( 917 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2525,plain,
$false,
inference(avatar_sat_refutation,[],[f378,f391,f395,f1058,f1212,f1331,f1386,f1390,f1393,f1395,f1398,f1402,f1404,f1408,f1410,f1412,f1433,f1435,f1437,f1439,f1441,f1443,f1452,f1506,f1573,f1583,f1712,f2390,f2397,f2411,f2417,f2468,f2524]) ).
fof(f2524,plain,
( spl6_11
| ~ spl6_16 ),
inference(avatar_contradiction_clause,[],[f2523]) ).
fof(f2523,plain,
( $false
| spl6_11
| ~ spl6_16 ),
inference(subsumption_resolution,[],[f2522,f159]) ).
fof(f159,plain,
aNaturalNumber0(xr),
inference(cnf_transformation,[],[f48]) ).
fof(f48,axiom,
( isPrime0(xr)
& doDivides0(xr,xk)
& aNaturalNumber0(xr) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2342) ).
fof(f2522,plain,
( ~ aNaturalNumber0(xr)
| spl6_11
| ~ spl6_16 ),
inference(subsumption_resolution,[],[f2521,f1577]) ).
fof(f1577,plain,
( aNaturalNumber0(xk)
| ~ spl6_16 ),
inference(avatar_component_clause,[],[f1576]) ).
fof(f1576,plain,
( spl6_16
<=> aNaturalNumber0(xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_16])]) ).
fof(f2521,plain,
( ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xr)
| spl6_11 ),
inference(subsumption_resolution,[],[f2520,f1446]) ).
fof(f1446,plain,
( sz00 != xr
| spl6_11 ),
inference(avatar_component_clause,[],[f1445]) ).
fof(f1445,plain,
( spl6_11
<=> sz00 = xr ),
introduced(avatar_definition,[new_symbols(naming,[spl6_11])]) ).
fof(f2520,plain,
( sz00 = xr
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xr) ),
inference(subsumption_resolution,[],[f2519,f160]) ).
fof(f160,plain,
doDivides0(xr,xk),
inference(cnf_transformation,[],[f48]) ).
fof(f2519,plain,
( ~ doDivides0(xr,xk)
| sz00 = xr
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xr) ),
inference(resolution,[],[f2438,f263]) ).
fof(f263,plain,
! [X0,X1] :
( aNaturalNumber0(sdtsldt0(X1,X0))
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f229]) ).
fof(f229,plain,
! [X2,X0,X1] :
( aNaturalNumber0(X2)
| sdtsldt0(X1,X0) != X2
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtsldt0(X1,X0) = X2
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
& ( ( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) )
| sdtsldt0(X1,X0) != X2 ) )
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f141]) ).
fof(f141,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtsldt0(X1,X0) = X2
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
& ( ( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) )
| sdtsldt0(X1,X0) != X2 ) )
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(nnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0,X1] :
( ! [X2] :
( sdtsldt0(X1,X0) = X2
<=> ( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f100]) ).
fof(f100,plain,
! [X0,X1] :
( ! [X2] :
( sdtsldt0(X1,X0) = X2
<=> ( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X0,X1)
& sz00 != X0 )
=> ! [X2] :
( sdtsldt0(X1,X0) = X2
<=> ( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefQuot) ).
fof(f2438,plain,
~ aNaturalNumber0(sdtsldt0(xk,xr)),
inference(subsumption_resolution,[],[f1769,f164]) ).
fof(f164,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
( aNaturalNumber0(xp)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1837) ).
fof(f1769,plain,
( ~ aNaturalNumber0(sdtsldt0(xk,xr))
| ~ aNaturalNumber0(xp) ),
inference(resolution,[],[f1768,f366]) ).
fof(f366,plain,
~ doDivides0(xp,sdtasdt0(xp,sdtsldt0(xk,xr))),
inference(superposition,[],[f151,f156]) ).
fof(f156,plain,
sdtasdt0(sdtsldt0(xn,xr),xm) = sdtasdt0(xp,sdtsldt0(xk,xr)),
inference(cnf_transformation,[],[f55]) ).
fof(f55,axiom,
sdtasdt0(sdtsldt0(xn,xr),xm) = sdtasdt0(xp,sdtsldt0(xk,xr)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2613) ).
fof(f151,plain,
~ doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
~ doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)),
inference(flattening,[],[f57]) ).
fof(f57,negated_conjecture,
~ doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)),
inference(negated_conjecture,[],[f56]) ).
fof(f56,conjecture,
doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f1768,plain,
! [X2,X0] :
( doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0) ),
inference(subsumption_resolution,[],[f264,f211]) ).
fof(f211,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f78]) ).
fof(f78,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f264,plain,
! [X2,X0] :
( doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f236]) ).
fof(f236,plain,
! [X2,X0,X1] :
( doDivides0(X0,X1)
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
! [X0,X1] :
( ( ( doDivides0(X0,X1)
| ! [X2] :
( sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) ) )
& ( ( sdtasdt0(X0,sK4(X0,X1)) = X1
& aNaturalNumber0(sK4(X0,X1)) )
| ~ doDivides0(X0,X1) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f144,f145]) ).
fof(f145,plain,
! [X0,X1] :
( ? [X3] :
( sdtasdt0(X0,X3) = X1
& aNaturalNumber0(X3) )
=> ( sdtasdt0(X0,sK4(X0,X1)) = X1
& aNaturalNumber0(sK4(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f144,plain,
! [X0,X1] :
( ( ( doDivides0(X0,X1)
| ! [X2] :
( sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) ) )
& ( ? [X3] :
( sdtasdt0(X0,X3) = X1
& aNaturalNumber0(X3) )
| ~ doDivides0(X0,X1) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(rectify,[],[f143]) ).
fof(f143,plain,
! [X0,X1] :
( ( ( doDivides0(X0,X1)
| ! [X2] :
( sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) ) )
& ( ? [X2] :
( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) )
| ~ doDivides0(X0,X1) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(nnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f106]) ).
fof(f106,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( doDivides0(X0,X1)
<=> ? [X2] :
( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiv) ).
fof(f2468,plain,
( spl6_16
| ~ spl6_4
| spl6_9 ),
inference(avatar_split_clause,[],[f2450,f1324,f388,f1576]) ).
fof(f388,plain,
( spl6_4
<=> aNaturalNumber0(sdtasdt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_4])]) ).
fof(f1324,plain,
( spl6_9
<=> sz00 = xp ),
introduced(avatar_definition,[new_symbols(naming,[spl6_9])]) ).
fof(f2450,plain,
( aNaturalNumber0(xk)
| ~ spl6_4
| spl6_9 ),
inference(subsumption_resolution,[],[f2449,f164]) ).
fof(f2449,plain,
( aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp)
| ~ spl6_4
| spl6_9 ),
inference(subsumption_resolution,[],[f2448,f390]) ).
fof(f390,plain,
( aNaturalNumber0(sdtasdt0(xn,xm))
| ~ spl6_4 ),
inference(avatar_component_clause,[],[f388]) ).
fof(f2448,plain,
( aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xp)
| spl6_9 ),
inference(subsumption_resolution,[],[f2447,f1325]) ).
fof(f1325,plain,
( sz00 != xp
| spl6_9 ),
inference(avatar_component_clause,[],[f1324]) ).
fof(f2447,plain,
( aNaturalNumber0(xk)
| sz00 = xp
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xp) ),
inference(subsumption_resolution,[],[f2384,f158]) ).
fof(f158,plain,
doDivides0(xp,sdtasdt0(xn,xm)),
inference(cnf_transformation,[],[f41]) ).
fof(f41,axiom,
( doDivides0(xp,sdtasdt0(xn,xm))
& isPrime0(xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1860) ).
fof(f2384,plain,
( aNaturalNumber0(xk)
| ~ doDivides0(xp,sdtasdt0(xn,xm))
| sz00 = xp
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xp) ),
inference(superposition,[],[f263,f155]) ).
fof(f155,plain,
xk = sdtsldt0(sdtasdt0(xn,xm),xp),
inference(cnf_transformation,[],[f45]) ).
fof(f45,axiom,
xk = sdtsldt0(sdtasdt0(xn,xm),xp),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2306) ).
fof(f2417,plain,
( ~ spl6_5
| spl6_9
| spl6_16 ),
inference(avatar_contradiction_clause,[],[f2416]) ).
fof(f2416,plain,
( $false
| ~ spl6_5
| spl6_9
| spl6_16 ),
inference(subsumption_resolution,[],[f2415,f164]) ).
fof(f2415,plain,
( ~ aNaturalNumber0(xp)
| ~ spl6_5
| spl6_9
| spl6_16 ),
inference(subsumption_resolution,[],[f2414,f183]) ).
fof(f183,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).
fof(f2414,plain,
( ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ spl6_5
| spl6_9
| spl6_16 ),
inference(subsumption_resolution,[],[f2413,f1325]) ).
fof(f2413,plain,
( sz00 = xp
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ spl6_5
| spl6_16 ),
inference(subsumption_resolution,[],[f2412,f1108]) ).
fof(f1108,plain,
( doDivides0(xp,sz00)
| ~ spl6_5 ),
inference(forward_demodulation,[],[f1064,f287]) ).
fof(f287,plain,
sz00 = sdtasdt0(sz00,xm),
inference(resolution,[],[f188,f163]) ).
fof(f163,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f39]) ).
fof(f188,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0] :
( ( sz00 = sdtasdt0(sz00,X0)
& sz00 = sdtasdt0(X0,sz00) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sz00 = sdtasdt0(sz00,X0)
& sz00 = sdtasdt0(X0,sz00) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_MulZero) ).
fof(f1064,plain,
( doDivides0(xp,sdtasdt0(sz00,xm))
| ~ spl6_5 ),
inference(superposition,[],[f158,f1053]) ).
fof(f1053,plain,
( sz00 = xn
| ~ spl6_5 ),
inference(avatar_component_clause,[],[f1051]) ).
fof(f1051,plain,
( spl6_5
<=> sz00 = xn ),
introduced(avatar_definition,[new_symbols(naming,[spl6_5])]) ).
fof(f2412,plain,
( ~ doDivides0(xp,sz00)
| sz00 = xp
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ spl6_5
| spl6_16 ),
inference(subsumption_resolution,[],[f2385,f1578]) ).
fof(f1578,plain,
( ~ aNaturalNumber0(xk)
| spl6_16 ),
inference(avatar_component_clause,[],[f1576]) ).
fof(f2385,plain,
( aNaturalNumber0(xk)
| ~ doDivides0(xp,sz00)
| sz00 = xp
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ spl6_5 ),
inference(superposition,[],[f263,f1107]) ).
fof(f1107,plain,
( xk = sdtsldt0(sz00,xp)
| ~ spl6_5 ),
inference(forward_demodulation,[],[f1062,f287]) ).
fof(f1062,plain,
( xk = sdtsldt0(sdtasdt0(sz00,xm),xp)
| ~ spl6_5 ),
inference(superposition,[],[f155,f1053]) ).
fof(f2411,plain,
( ~ spl6_4
| spl6_9
| spl6_16 ),
inference(avatar_contradiction_clause,[],[f2410]) ).
fof(f2410,plain,
( $false
| ~ spl6_4
| spl6_9
| spl6_16 ),
inference(subsumption_resolution,[],[f2409,f164]) ).
fof(f2409,plain,
( ~ aNaturalNumber0(xp)
| ~ spl6_4
| spl6_9
| spl6_16 ),
inference(subsumption_resolution,[],[f2408,f390]) ).
fof(f2408,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xp)
| spl6_9
| spl6_16 ),
inference(subsumption_resolution,[],[f2407,f1325]) ).
fof(f2407,plain,
( sz00 = xp
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xp)
| spl6_16 ),
inference(subsumption_resolution,[],[f2406,f158]) ).
fof(f2406,plain,
( ~ doDivides0(xp,sdtasdt0(xn,xm))
| sz00 = xp
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xp)
| spl6_16 ),
inference(subsumption_resolution,[],[f2384,f1578]) ).
fof(f2397,plain,
( spl6_1
| spl6_11 ),
inference(avatar_contradiction_clause,[],[f2396]) ).
fof(f2396,plain,
( $false
| spl6_1
| spl6_11 ),
inference(subsumption_resolution,[],[f2395,f159]) ).
fof(f2395,plain,
( ~ aNaturalNumber0(xr)
| spl6_1
| spl6_11 ),
inference(subsumption_resolution,[],[f2394,f162]) ).
fof(f162,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f39]) ).
fof(f2394,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xr)
| spl6_1
| spl6_11 ),
inference(subsumption_resolution,[],[f2393,f1446]) ).
fof(f2393,plain,
( sz00 = xr
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xr)
| spl6_1 ),
inference(subsumption_resolution,[],[f2344,f154]) ).
fof(f154,plain,
doDivides0(xr,xn),
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
doDivides0(xr,xn),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2487) ).
fof(f2344,plain,
( ~ doDivides0(xr,xn)
| sz00 = xr
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xr)
| spl6_1 ),
inference(resolution,[],[f263,f373]) ).
fof(f373,plain,
( ~ aNaturalNumber0(sdtsldt0(xn,xr))
| spl6_1 ),
inference(avatar_component_clause,[],[f371]) ).
fof(f371,plain,
( spl6_1
<=> aNaturalNumber0(sdtsldt0(xn,xr)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).
fof(f2390,plain,
( spl6_1
| ~ spl6_5
| spl6_11 ),
inference(avatar_contradiction_clause,[],[f2389]) ).
fof(f2389,plain,
( $false
| spl6_1
| ~ spl6_5
| spl6_11 ),
inference(subsumption_resolution,[],[f2388,f159]) ).
fof(f2388,plain,
( ~ aNaturalNumber0(xr)
| spl6_1
| ~ spl6_5
| spl6_11 ),
inference(subsumption_resolution,[],[f2387,f183]) ).
fof(f2387,plain,
( ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xr)
| spl6_1
| ~ spl6_5
| spl6_11 ),
inference(subsumption_resolution,[],[f2386,f1446]) ).
fof(f2386,plain,
( sz00 = xr
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xr)
| spl6_1
| ~ spl6_5 ),
inference(subsumption_resolution,[],[f2342,f1061]) ).
fof(f1061,plain,
( doDivides0(xr,sz00)
| ~ spl6_5 ),
inference(superposition,[],[f154,f1053]) ).
fof(f2342,plain,
( ~ doDivides0(xr,sz00)
| sz00 = xr
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xr)
| spl6_1
| ~ spl6_5 ),
inference(resolution,[],[f263,f1076]) ).
fof(f1076,plain,
( ~ aNaturalNumber0(sdtsldt0(sz00,xr))
| spl6_1
| ~ spl6_5 ),
inference(superposition,[],[f373,f1053]) ).
fof(f1712,plain,
( ~ spl6_18
| spl6_19
| ~ spl6_10 ),
inference(avatar_split_clause,[],[f1698,f1328,f1709,f1705]) ).
fof(f1705,plain,
( spl6_18
<=> sdtlseqdt0(xp,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_18])]) ).
fof(f1709,plain,
( spl6_19
<=> sz10 = xp ),
introduced(avatar_definition,[new_symbols(naming,[spl6_19])]) ).
fof(f1328,plain,
( spl6_10
<=> sdtlseqdt0(sz10,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_10])]) ).
fof(f1698,plain,
( sz10 = xp
| ~ sdtlseqdt0(xp,sz10)
| ~ spl6_10 ),
inference(subsumption_resolution,[],[f1697,f164]) ).
fof(f1697,plain,
( sz10 = xp
| ~ sdtlseqdt0(xp,sz10)
| ~ aNaturalNumber0(xp)
| ~ spl6_10 ),
inference(subsumption_resolution,[],[f1683,f184]) ).
fof(f184,plain,
aNaturalNumber0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( sz00 != sz10
& aNaturalNumber0(sz10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC_01) ).
fof(f1683,plain,
( sz10 = xp
| ~ sdtlseqdt0(xp,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ spl6_10 ),
inference(resolution,[],[f233,f1330]) ).
fof(f1330,plain,
( sdtlseqdt0(sz10,xp)
| ~ spl6_10 ),
inference(avatar_component_clause,[],[f1328]) ).
fof(f233,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f104]) ).
fof(f104,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEAsym) ).
fof(f1583,plain,
( ~ spl6_16
| ~ spl6_17
| spl6_13 ),
inference(avatar_split_clause,[],[f1574,f1562,f1580,f1576]) ).
fof(f1580,plain,
( spl6_17
<=> isPrime0(xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_17])]) ).
fof(f1562,plain,
( spl6_13
<=> sP0(xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_13])]) ).
fof(f1574,plain,
( ~ isPrime0(xk)
| ~ aNaturalNumber0(xk)
| spl6_13 ),
inference(resolution,[],[f1564,f270]) ).
fof(f270,plain,
! [X0] :
( sP0(X0)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f197,f206]) ).
fof(f206,plain,
! [X0] :
( sP1(X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0] :
( sP1(X0)
| ~ aNaturalNumber0(X0) ),
inference(definition_folding,[],[f73,f129,f128]) ).
fof(f128,plain,
! [X0] :
( sP0(X0)
<=> ( ! [X1] :
( X0 = X1
| sz10 = X1
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1) )
& sz10 != X0
& sz00 != X0 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f129,plain,
! [X0] :
( ( isPrime0(X0)
<=> sP0(X0) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f73,plain,
! [X0] :
( ( isPrime0(X0)
<=> ( ! [X1] :
( X0 = X1
| sz10 = X1
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1) )
& sz10 != X0
& sz00 != X0 ) )
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f72]) ).
fof(f72,plain,
! [X0] :
( ( isPrime0(X0)
<=> ( ! [X1] :
( X0 = X1
| sz10 = X1
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1) )
& sz10 != X0
& sz00 != X0 ) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( isPrime0(X0)
<=> ( ! [X1] :
( ( doDivides0(X1,X0)
& aNaturalNumber0(X1) )
=> ( X0 = X1
| sz10 = X1 ) )
& sz10 != X0
& sz00 != X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefPrime) ).
fof(f197,plain,
! [X0] :
( ~ sP1(X0)
| ~ isPrime0(X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0] :
( ( ( isPrime0(X0)
| ~ sP0(X0) )
& ( sP0(X0)
| ~ isPrime0(X0) ) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f129]) ).
fof(f1564,plain,
( ~ sP0(xk)
| spl6_13 ),
inference(avatar_component_clause,[],[f1562]) ).
fof(f1573,plain,
( ~ spl6_13
| spl6_14
| spl6_15 ),
inference(avatar_split_clause,[],[f1559,f1570,f1566,f1562]) ).
fof(f1566,plain,
( spl6_14
<=> xk = xr ),
introduced(avatar_definition,[new_symbols(naming,[spl6_14])]) ).
fof(f1570,plain,
( spl6_15
<=> sz10 = xr ),
introduced(avatar_definition,[new_symbols(naming,[spl6_15])]) ).
fof(f1559,plain,
( sz10 = xr
| xk = xr
| ~ sP0(xk) ),
inference(subsumption_resolution,[],[f1540,f159]) ).
fof(f1540,plain,
( sz10 = xr
| xk = xr
| ~ aNaturalNumber0(xr)
| ~ sP0(xk) ),
inference(resolution,[],[f201,f160]) ).
fof(f201,plain,
! [X2,X0] :
( ~ doDivides0(X2,X0)
| sz10 = X2
| X0 = X2
| ~ aNaturalNumber0(X2)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
! [X0] :
( ( sP0(X0)
| ( sK2(X0) != X0
& sz10 != sK2(X0)
& doDivides0(sK2(X0),X0)
& aNaturalNumber0(sK2(X0)) )
| sz10 = X0
| sz00 = X0 )
& ( ( ! [X2] :
( X0 = X2
| sz10 = X2
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(X2) )
& sz10 != X0
& sz00 != X0 )
| ~ sP0(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f134,f135]) ).
fof(f135,plain,
! [X0] :
( ? [X1] :
( X0 != X1
& sz10 != X1
& doDivides0(X1,X0)
& aNaturalNumber0(X1) )
=> ( sK2(X0) != X0
& sz10 != sK2(X0)
& doDivides0(sK2(X0),X0)
& aNaturalNumber0(sK2(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f134,plain,
! [X0] :
( ( sP0(X0)
| ? [X1] :
( X0 != X1
& sz10 != X1
& doDivides0(X1,X0)
& aNaturalNumber0(X1) )
| sz10 = X0
| sz00 = X0 )
& ( ( ! [X2] :
( X0 = X2
| sz10 = X2
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(X2) )
& sz10 != X0
& sz00 != X0 )
| ~ sP0(X0) ) ),
inference(rectify,[],[f133]) ).
fof(f133,plain,
! [X0] :
( ( sP0(X0)
| ? [X1] :
( X0 != X1
& sz10 != X1
& doDivides0(X1,X0)
& aNaturalNumber0(X1) )
| sz10 = X0
| sz00 = X0 )
& ( ( ! [X1] :
( X0 = X1
| sz10 = X1
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1) )
& sz10 != X0
& sz00 != X0 )
| ~ sP0(X0) ) ),
inference(flattening,[],[f132]) ).
fof(f132,plain,
! [X0] :
( ( sP0(X0)
| ? [X1] :
( X0 != X1
& sz10 != X1
& doDivides0(X1,X0)
& aNaturalNumber0(X1) )
| sz10 = X0
| sz00 = X0 )
& ( ( ! [X1] :
( X0 = X1
| sz10 = X1
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1) )
& sz10 != X0
& sz00 != X0 )
| ~ sP0(X0) ) ),
inference(nnf_transformation,[],[f128]) ).
fof(f1506,plain,
~ spl6_11,
inference(avatar_contradiction_clause,[],[f1505]) ).
fof(f1505,plain,
( $false
| ~ spl6_11 ),
inference(subsumption_resolution,[],[f1458,f275]) ).
fof(f275,plain,
~ isPrime0(sz00),
inference(subsumption_resolution,[],[f273,f183]) ).
fof(f273,plain,
( ~ isPrime0(sz00)
| ~ aNaturalNumber0(sz00) ),
inference(resolution,[],[f270,f256]) ).
fof(f256,plain,
~ sP0(sz00),
inference(equality_resolution,[],[f199]) ).
fof(f199,plain,
! [X0] :
( sz00 != X0
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f1458,plain,
( isPrime0(sz00)
| ~ spl6_11 ),
inference(superposition,[],[f161,f1447]) ).
fof(f1447,plain,
( sz00 = xr
| ~ spl6_11 ),
inference(avatar_component_clause,[],[f1445]) ).
fof(f161,plain,
isPrime0(xr),
inference(cnf_transformation,[],[f48]) ).
fof(f1452,plain,
( spl6_11
| spl6_12 ),
inference(avatar_split_clause,[],[f1049,f1449,f1445]) ).
fof(f1449,plain,
( spl6_12
<=> sdtlseqdt0(sz10,xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_12])]) ).
fof(f1049,plain,
( sdtlseqdt0(sz10,xr)
| sz00 = xr ),
inference(subsumption_resolution,[],[f1048,f159]) ).
fof(f1048,plain,
( sdtlseqdt0(sz10,xr)
| sz00 = xr
| ~ aNaturalNumber0(xr) ),
inference(subsumption_resolution,[],[f1024,f184]) ).
fof(f1024,plain,
( sdtlseqdt0(sz10,xr)
| sz00 = xr
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xr) ),
inference(superposition,[],[f216,f313]) ).
fof(f313,plain,
xr = sdtasdt0(sz10,xr),
inference(resolution,[],[f192,f159]) ).
fof(f192,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sz10,X0) = X0 ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0] :
( ( sdtasdt0(sz10,X0) = X0
& sdtasdt0(X0,sz10) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtasdt0(sz10,X0) = X0
& sdtasdt0(X0,sz10) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_MulUnit) ).
fof(f216,plain,
! [X0,X1] :
( sdtlseqdt0(X1,sdtasdt0(X1,X0))
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0,X1] :
( sdtlseqdt0(X1,sdtasdt0(X1,X0))
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f86]) ).
fof(f86,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(f1443,plain,
( ~ spl6_5
| ~ spl6_7
| ~ spl6_9 ),
inference(avatar_contradiction_clause,[],[f1442]) ).
fof(f1442,plain,
( $false
| ~ spl6_5
| ~ spl6_7
| ~ spl6_9 ),
inference(global_subsumption,[],[f1378,f177,f179,f267,f181,f180,f182,f196,f195,f201,f266,f258,f259,f222,f223,f227,f226,f225,f224,f228,f261,f262,f263,f232,f233,f264,f235,f265,f238,f240,f241,f243,f242,f247,f246,f268,f245,f244,f269,f248,f249,f250,f251,f253,f252,f157,f159,f161,f162,f163,f164,f183,f184,f255,f256,f152,f153,f154,f160,f165,f166,f167,f168,f169,f170,f171,f172,f173,f185,f206,f158,f174,f175,f176,f186,f151,f197,f198,f155,f270,f274,f275,f271,f187,f280,f281,f282,f283,f278,f279,f188,f286,f287,f288,f289,f285,f189,f292,f293,f294,f295,f290,f190,f298,f299,f300,f301,f291,f297,f191,f304,f305,f306,f307,f192,f309,f310,f311,f312,f313,f303,f210,f314,f315,f316,f317,f211,f332,f333,f334,f335,f336,f337,f215,f156,f366,f368,f178,f382,f369,f194,f202,f409,f410,f411,f412,f413,f414,f207,f415,f416,f417,f418,f419,f420,f209,f212,f423,f424,f430,f431,f426,f434,f435,f441,f442,f433,f213,f447,f448,f454,f455,f438,f439,f440,f427,f461,f462,f468,f469,f460,f466,f467,f428,f476,f477,f483,f484,f475,f482,f429,f490,f491,f497,f498,f234,f500,f501,f502,f503,f504,f505,f506,f507,f508,f509,f510,f511,f489,f450,f515,f516,f522,f523,f524,f519,f520,f521,f451,f532,f533,f539,f540,f541,f537,f538,f452,f548,f549,f555,f556,f557,f554,f453,f563,f564,f570,f571,f572,f237,f575,f576,f577,f578,f579,f580,f581,f582,f583,f584,f585,f586,f587,f588,f589,f590,f421,f593,f594,f600,f601,f602,f603,f422,f612,f613,f619,f620,f621,f622,f445,f626,f627,f633,f634,f635,f636,f446,f645,f646,f652,f653,f654,f655,f260,f662,f663,f664,f665,f666,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f678,f679,f680,f681,f318,f684,f685,f687,f692,f693,f694,f695,f688,f698,f699,f701,f706,f707,f708,f709,f702,f703,f704,f705,f203,f711,f689,f719,f720,f722,f727,f728,f729,f730,f724,f725,f726,f732,f690,f740,f741,f743,f748,f749,f750,f751,f746,f747,f753,f691,f761,f762,f764,f769,f770,f771,f772,f204,f768,f774,f682,f782,f783,f785,f790,f791,f792,f793,f683,f803,f804,f806,f811,f812,f813,f814,f802,f319,f824,f825,f827,f832,f833,f834,f835,f205,f828,f838,f839,f841,f846,f847,f848,f849,f842,f843,f844,f845,f851,f829,f859,f860,f862,f867,f868,f869,f870,f864,f865,f866,f872,f208,f830,f880,f881,f883,f888,f889,f890,f891,f886,f887,f893,f831,f901,f902,f904,f909,f910,f911,f912,f908,f914,f822,f922,f923,f925,f930,f931,f932,f933,f823,f943,f944,f946,f951,f952,f953,f954,f942,f216,f1033,f1035,f1037,f1041,f1043,f1047,f1049,f1031,f220,f1184,f1186,f1188,f1199,f1201,f1203,f1039,f1207,f221,f1045,f1326,f1380,f1381,f1384,f1388,f1339,f1396,f1400,f1351,f1406]) ).
fof(f1406,plain,
( sz00 = sdtasdt0(sdtasdt0(sz00,sdtsldt0(xk,xr)),xr)
| ~ spl6_7
| ~ spl6_9 ),
inference(forward_demodulation,[],[f1405,f280]) ).
fof(f1405,plain,
( sdtasdt0(xn,sz00) = sdtasdt0(sdtasdt0(sz00,sdtsldt0(xk,xr)),xr)
| ~ spl6_7
| ~ spl6_9 ),
inference(forward_demodulation,[],[f1352,f1207]) ).
fof(f1352,plain,
( sdtasdt0(xn,xm) = sdtasdt0(sdtasdt0(sz00,sdtsldt0(xk,xr)),xr)
| ~ spl6_9 ),
inference(superposition,[],[f369,f1326]) ).
fof(f1351,plain,
( ~ doDivides0(sz00,sdtasdt0(sz00,sdtsldt0(xk,xr)))
| ~ spl6_9 ),
inference(superposition,[],[f366,f1326]) ).
fof(f1400,plain,
( sz00 = sdtasdt0(sdtsldt0(sdtasdt0(sz00,xk),xr),xr)
| ~ spl6_7
| ~ spl6_9 ),
inference(forward_demodulation,[],[f1399,f280]) ).
fof(f1399,plain,
( sdtasdt0(xn,sz00) = sdtasdt0(sdtsldt0(sdtasdt0(sz00,xk),xr),xr)
| ~ spl6_7
| ~ spl6_9 ),
inference(forward_demodulation,[],[f1344,f1207]) ).
fof(f1344,plain,
( sdtasdt0(xn,xm) = sdtasdt0(sdtsldt0(sdtasdt0(sz00,xk),xr),xr)
| ~ spl6_9 ),
inference(superposition,[],[f178,f1326]) ).
fof(f1396,plain,
( sdtlseqdt0(sz00,sz00)
| ~ spl6_7
| ~ spl6_9 ),
inference(forward_demodulation,[],[f1343,f1207]) ).
fof(f1343,plain,
( sdtlseqdt0(xm,sz00)
| ~ spl6_9 ),
inference(superposition,[],[f170,f1326]) ).
fof(f1339,plain,
( sdtlseqdt0(xk,sz00)
| ~ spl6_9 ),
inference(superposition,[],[f166,f1326]) ).
fof(f1388,plain,
( doDivides0(sz00,sz00)
| ~ spl6_7
| ~ spl6_9 ),
inference(forward_demodulation,[],[f1387,f280]) ).
fof(f1387,plain,
( doDivides0(sz00,sdtasdt0(xn,sz00))
| ~ spl6_7
| ~ spl6_9 ),
inference(forward_demodulation,[],[f1337,f1207]) ).
fof(f1337,plain,
( doDivides0(sz00,sdtasdt0(xn,xm))
| ~ spl6_9 ),
inference(superposition,[],[f158,f1326]) ).
fof(f1384,plain,
( xk = sdtsldt0(sz00,sz00)
| ~ spl6_7
| ~ spl6_9 ),
inference(forward_demodulation,[],[f1383,f280]) ).
fof(f1383,plain,
( xk = sdtsldt0(sdtasdt0(xn,sz00),sz00)
| ~ spl6_7
| ~ spl6_9 ),
inference(forward_demodulation,[],[f1335,f1207]) ).
fof(f1335,plain,
( xk = sdtsldt0(sdtasdt0(xn,xm),sz00)
| ~ spl6_9 ),
inference(superposition,[],[f155,f1326]) ).
fof(f1381,plain,
( ~ sdtlseqdt0(sz00,sz00)
| ~ spl6_7
| ~ spl6_9 ),
inference(forward_demodulation,[],[f1333,f1207]) ).
fof(f1333,plain,
( ~ sdtlseqdt0(sz00,xm)
| ~ spl6_9 ),
inference(superposition,[],[f152,f1326]) ).
fof(f1380,plain,
( ~ doDivides0(sz00,sdtasdt0(sz00,sdtsldt0(xk,xr)))
| ~ spl6_9 ),
inference(forward_demodulation,[],[f1379,f1326]) ).
fof(f1379,plain,
( ~ doDivides0(sz00,sdtasdt0(xp,sdtsldt0(xk,xr)))
| ~ spl6_9 ),
inference(forward_demodulation,[],[f1332,f156]) ).
fof(f1332,plain,
( ~ doDivides0(sz00,sdtasdt0(sdtsldt0(xn,xr),xm))
| ~ spl6_9 ),
inference(superposition,[],[f151,f1326]) ).
fof(f1326,plain,
( sz00 = xp
| ~ spl6_9 ),
inference(avatar_component_clause,[],[f1324]) ).
fof(f1045,plain,
( sdtlseqdt0(sz10,xp)
| sz00 = xp ),
inference(subsumption_resolution,[],[f1044,f164]) ).
fof(f1044,plain,
( sdtlseqdt0(sz10,xp)
| sz00 = xp
| ~ aNaturalNumber0(xp) ),
inference(subsumption_resolution,[],[f1021,f184]) ).
fof(f1021,plain,
( sdtlseqdt0(sz10,xp)
| sz00 = xp
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[],[f216,f312]) ).
fof(f221,plain,
! [X0,X1] :
( sz00 != sdtpldt0(X0,X1)
| sz00 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1] :
( ( sz00 = X1
& sz00 = X0 )
| sz00 != sdtpldt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f90]) ).
fof(f90,plain,
! [X0,X1] :
( ( sz00 = X1
& sz00 = X0 )
| sz00 != sdtpldt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sz00 = sdtpldt0(X0,X1)
=> ( sz00 = X1
& sz00 = X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroAdd) ).
fof(f1207,plain,
( sz00 = xm
| ~ spl6_7 ),
inference(avatar_component_clause,[],[f1205]) ).
fof(f1205,plain,
( spl6_7
<=> sz00 = xm ),
introduced(avatar_definition,[new_symbols(naming,[spl6_7])]) ).
fof(f1039,plain,
( sdtlseqdt0(sz10,xm)
| sz00 = xm ),
inference(subsumption_resolution,[],[f1038,f163]) ).
fof(f1038,plain,
( sdtlseqdt0(sz10,xm)
| sz00 = xm
| ~ aNaturalNumber0(xm) ),
inference(subsumption_resolution,[],[f1016,f184]) ).
fof(f1016,plain,
( sdtlseqdt0(sz10,xm)
| sz00 = xm
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[],[f216,f311]) ).
fof(f1203,plain,
( sz00 != sdtpldt0(xp,xr)
| sz00 = xr ),
inference(subsumption_resolution,[],[f1202,f159]) ).
fof(f1202,plain,
( sz00 != sdtpldt0(xp,xr)
| sz00 = xr
| ~ aNaturalNumber0(xr) ),
inference(subsumption_resolution,[],[f1181,f164]) ).
fof(f1181,plain,
( sz00 != sdtpldt0(xp,xr)
| sz00 = xr
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xr) ),
inference(superposition,[],[f220,f482]) ).
fof(f1201,plain,
( sz00 != sdtpldt0(xm,xr)
| sz00 = xr ),
inference(subsumption_resolution,[],[f1200,f159]) ).
fof(f1200,plain,
( sz00 != sdtpldt0(xm,xr)
| sz00 = xr
| ~ aNaturalNumber0(xr) ),
inference(subsumption_resolution,[],[f1179,f163]) ).
fof(f1179,plain,
( sz00 != sdtpldt0(xm,xr)
| sz00 = xr
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xr) ),
inference(superposition,[],[f220,f467]) ).
fof(f1199,plain,
( sz00 != sdtpldt0(xm,xp)
| sz00 = xp ),
inference(subsumption_resolution,[],[f1198,f164]) ).
fof(f1198,plain,
( sz00 != sdtpldt0(xm,xp)
| sz00 = xp
| ~ aNaturalNumber0(xp) ),
inference(subsumption_resolution,[],[f1178,f163]) ).
fof(f1178,plain,
( sz00 != sdtpldt0(xm,xp)
| sz00 = xp
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[],[f220,f466]) ).
fof(f1188,plain,
( sz00 != sdtpldt0(sz10,xr)
| sz00 = xr ),
inference(subsumption_resolution,[],[f1187,f159]) ).
fof(f1187,plain,
( sz00 != sdtpldt0(sz10,xr)
| sz00 = xr
| ~ aNaturalNumber0(xr) ),
inference(subsumption_resolution,[],[f1171,f184]) ).
fof(f1171,plain,
( sz00 != sdtpldt0(sz10,xr)
| sz00 = xr
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xr) ),
inference(superposition,[],[f220,f489]) ).
fof(f1186,plain,
( sz00 != sdtpldt0(sz10,xp)
| sz00 = xp ),
inference(subsumption_resolution,[],[f1185,f164]) ).
fof(f1185,plain,
( sz00 != sdtpldt0(sz10,xp)
| sz00 = xp
| ~ aNaturalNumber0(xp) ),
inference(subsumption_resolution,[],[f1170,f184]) ).
fof(f1170,plain,
( sz00 != sdtpldt0(sz10,xp)
| sz00 = xp
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[],[f220,f475]) ).
fof(f1184,plain,
( sz00 != sdtpldt0(sz10,xm)
| sz00 = xm ),
inference(subsumption_resolution,[],[f1183,f163]) ).
fof(f1183,plain,
( sz00 != sdtpldt0(sz10,xm)
| sz00 = xm
| ~ aNaturalNumber0(xm) ),
inference(subsumption_resolution,[],[f1169,f184]) ).
fof(f1169,plain,
( sz00 != sdtpldt0(sz10,xm)
| sz00 = xm
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[],[f220,f460]) ).
fof(f220,plain,
! [X0,X1] :
( sz00 != sdtpldt0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f91]) ).
fof(f1031,plain,
( sdtlseqdt0(sz10,xn)
| sz00 = xn ),
inference(subsumption_resolution,[],[f1030,f162]) ).
fof(f1030,plain,
( sdtlseqdt0(sz10,xn)
| sz00 = xn
| ~ aNaturalNumber0(xn) ),
inference(subsumption_resolution,[],[f1011,f184]) ).
fof(f1011,plain,
( sdtlseqdt0(sz10,xn)
| sz00 = xn
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[],[f216,f310]) ).
fof(f1047,plain,
( sdtlseqdt0(xr,sdtasdt0(xp,xr))
| sz00 = xp ),
inference(subsumption_resolution,[],[f1046,f164]) ).
fof(f1046,plain,
( sdtlseqdt0(xr,sdtasdt0(xp,xr))
| sz00 = xp
| ~ aNaturalNumber0(xp) ),
inference(subsumption_resolution,[],[f1022,f159]) ).
fof(f1022,plain,
( sdtlseqdt0(xr,sdtasdt0(xp,xr))
| sz00 = xp
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[],[f216,f554]) ).
fof(f1043,plain,
( sdtlseqdt0(xr,sdtasdt0(xm,xr))
| sz00 = xm ),
inference(subsumption_resolution,[],[f1042,f163]) ).
fof(f1042,plain,
( sdtlseqdt0(xr,sdtasdt0(xm,xr))
| sz00 = xm
| ~ aNaturalNumber0(xm) ),
inference(subsumption_resolution,[],[f1019,f159]) ).
fof(f1019,plain,
( sdtlseqdt0(xr,sdtasdt0(xm,xr))
| sz00 = xm
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[],[f216,f538]) ).
fof(f1041,plain,
( sdtlseqdt0(xp,sdtasdt0(xm,xp))
| sz00 = xm ),
inference(subsumption_resolution,[],[f1040,f163]) ).
fof(f1040,plain,
( sdtlseqdt0(xp,sdtasdt0(xm,xp))
| sz00 = xm
| ~ aNaturalNumber0(xm) ),
inference(subsumption_resolution,[],[f1018,f164]) ).
fof(f1018,plain,
( sdtlseqdt0(xp,sdtasdt0(xm,xp))
| sz00 = xm
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[],[f216,f537]) ).
fof(f1037,plain,
( sdtlseqdt0(xr,sdtasdt0(xn,xr))
| sz00 = xn ),
inference(subsumption_resolution,[],[f1036,f162]) ).
fof(f1036,plain,
( sdtlseqdt0(xr,sdtasdt0(xn,xr))
| sz00 = xn
| ~ aNaturalNumber0(xn) ),
inference(subsumption_resolution,[],[f1014,f159]) ).
fof(f1014,plain,
( sdtlseqdt0(xr,sdtasdt0(xn,xr))
| sz00 = xn
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[],[f216,f521]) ).
fof(f1035,plain,
( sdtlseqdt0(xp,sdtasdt0(xn,xp))
| sz00 = xn ),
inference(subsumption_resolution,[],[f1034,f162]) ).
fof(f1034,plain,
( sdtlseqdt0(xp,sdtasdt0(xn,xp))
| sz00 = xn
| ~ aNaturalNumber0(xn) ),
inference(subsumption_resolution,[],[f1013,f164]) ).
fof(f1013,plain,
( sdtlseqdt0(xp,sdtasdt0(xn,xp))
| sz00 = xn
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[],[f216,f520]) ).
fof(f1033,plain,
( sdtlseqdt0(xm,sdtasdt0(xn,xm))
| sz00 = xn ),
inference(subsumption_resolution,[],[f1032,f162]) ).
fof(f1032,plain,
( sdtlseqdt0(xm,sdtasdt0(xn,xm))
| sz00 = xn
| ~ aNaturalNumber0(xn) ),
inference(subsumption_resolution,[],[f1012,f163]) ).
fof(f1012,plain,
( sdtlseqdt0(xm,sdtasdt0(xn,xm))
| sz00 = xn
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[],[f216,f519]) ).
fof(f942,plain,
sz00 = sdtasdt0(sdtpldt0(sz10,sz10),sz00),
inference(resolution,[],[f823,f184]) ).
fof(f954,plain,
! [X0,X1] :
( sz00 = sdtasdt0(sdtpldt0(sz10,sK5(X0,X1)),sz00)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f823,f237]) ).
fof(f953,plain,
! [X0,X1] :
( sz00 = sdtasdt0(sdtpldt0(sz10,sK4(X0,X1)),sz00)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f823,f234]) ).
fof(f952,plain,
! [X0] :
( sz00 = sdtasdt0(sdtpldt0(sz10,sK3(X0)),sz00)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f823,f207]) ).
fof(f951,plain,
! [X0] :
( sz00 = sdtasdt0(sdtpldt0(sz10,sK2(X0)),sz00)
| sP0(X0)
| sz10 = X0
| sz00 = X0 ),
inference(resolution,[],[f823,f202]) ).
fof(f946,plain,
! [X0,X1] :
( sz00 = sdtasdt0(sdtpldt0(sz10,sdtmndt0(X0,X1)),sz00)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(resolution,[],[f823,f260]) ).
fof(f944,plain,
! [X0,X1] :
( sz00 = sdtasdt0(sdtpldt0(sz10,sdtasdt0(X0,X1)),sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f823,f211]) ).
fof(f943,plain,
! [X0,X1] :
( sz00 = sdtasdt0(sdtpldt0(sz10,sdtpldt0(X0,X1)),sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f823,f210]) ).
fof(f823,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtpldt0(sz10,X0),sz00) ),
inference(resolution,[],[f319,f184]) ).
fof(f933,plain,
! [X0,X1] :
( sz00 = sdtasdt0(sdtpldt0(sz00,sK5(X0,X1)),sz00)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f822,f237]) ).
fof(f932,plain,
! [X0,X1] :
( sz00 = sdtasdt0(sdtpldt0(sz00,sK4(X0,X1)),sz00)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f822,f234]) ).
fof(f931,plain,
! [X0] :
( sz00 = sdtasdt0(sdtpldt0(sz00,sK3(X0)),sz00)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f822,f207]) ).
fof(f930,plain,
! [X0] :
( sz00 = sdtasdt0(sdtpldt0(sz00,sK2(X0)),sz00)
| sP0(X0)
| sz10 = X0
| sz00 = X0 ),
inference(resolution,[],[f822,f202]) ).
fof(f925,plain,
! [X0,X1] :
( sz00 = sdtasdt0(sdtpldt0(sz00,sdtmndt0(X0,X1)),sz00)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(resolution,[],[f822,f260]) ).
fof(f923,plain,
! [X0,X1] :
( sz00 = sdtasdt0(sdtpldt0(sz00,sdtasdt0(X0,X1)),sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f822,f211]) ).
fof(f922,plain,
! [X0,X1] :
( sz00 = sdtasdt0(sdtpldt0(sz00,sdtpldt0(X0,X1)),sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f822,f210]) ).
fof(f822,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtpldt0(sz00,X0),sz00) ),
inference(resolution,[],[f319,f183]) ).
fof(f914,plain,
sz00 = sdtasdt0(sdtpldt0(sz10,xr),sz00),
inference(forward_demodulation,[],[f900,f489]) ).
fof(f900,plain,
sz00 = sdtasdt0(sdtpldt0(xr,sz10),sz00),
inference(resolution,[],[f831,f184]) ).
fof(f908,plain,
sz00 = sdtasdt0(sdtpldt0(xr,xr),sz00),
inference(resolution,[],[f831,f159]) ).
fof(f912,plain,
! [X0,X1] :
( sz00 = sdtasdt0(sdtpldt0(xr,sK5(X0,X1)),sz00)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f831,f237]) ).
fof(f911,plain,
! [X0,X1] :
( sz00 = sdtasdt0(sdtpldt0(xr,sK4(X0,X1)),sz00)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f831,f234]) ).
fof(f910,plain,
! [X0] :
( sz00 = sdtasdt0(sdtpldt0(xr,sK3(X0)),sz00)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f831,f207]) ).
fof(f909,plain,
! [X0] :
( sz00 = sdtasdt0(sdtpldt0(xr,sK2(X0)),sz00)
| sP0(X0)
| sz10 = X0
| sz00 = X0 ),
inference(resolution,[],[f831,f202]) ).
fof(f904,plain,
! [X0,X1] :
( sz00 = sdtasdt0(sdtpldt0(xr,sdtmndt0(X0,X1)),sz00)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(resolution,[],[f831,f260]) ).
fof(f902,plain,
! [X0,X1] :
( sz00 = sdtasdt0(sdtpldt0(xr,sdtasdt0(X0,X1)),sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f831,f211]) ).
fof(f901,plain,
! [X0,X1] :
( sz00 = sdtasdt0(sdtpldt0(xr,sdtpldt0(X0,X1)),sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f831,f210]) ).
fof(f831,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtpldt0(xr,X0),sz00) ),
inference(resolution,[],[f319,f159]) ).
fof(f893,plain,
sz00 = sdtasdt0(sdtpldt0(sz10,xp),sz00),
inference(forward_demodulation,[],[f879,f475]) ).
fof(f879,plain,
sz00 = sdtasdt0(sdtpldt0(xp,sz10),sz00),
inference(resolution,[],[f830,f184]) ).
fof(f887,plain,
sz00 = sdtasdt0(sdtpldt0(xp,xr),sz00),
inference(resolution,[],[f830,f159]) ).
fof(f886,plain,
sz00 = sdtasdt0(sdtpldt0(xp,xp),sz00),
inference(resolution,[],[f830,f164]) ).
fof(f891,plain,
! [X0,X1] :
( sz00 = sdtasdt0(sdtpldt0(xp,sK5(X0,X1)),sz00)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f830,f237]) ).
fof(f890,plain,
! [X0,X1] :
( sz00 = sdtasdt0(sdtpldt0(xp,sK4(X0,X1)),sz00)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f830,f234]) ).
fof(f889,plain,
! [X0] :
( sz00 = sdtasdt0(sdtpldt0(xp,sK3(X0)),sz00)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f830,f207]) ).
fof(f888,plain,
! [X0] :
( sz00 = sdtasdt0(sdtpldt0(xp,sK2(X0)),sz00)
| sP0(X0)
| sz10 = X0
| sz00 = X0 ),
inference(resolution,[],[f830,f202]) ).
fof(f883,plain,
! [X0,X1] :
( sz00 = sdtasdt0(sdtpldt0(xp,sdtmndt0(X0,X1)),sz00)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(resolution,[],[f830,f260]) ).
fof(f881,plain,
! [X0,X1] :
( sz00 = sdtasdt0(sdtpldt0(xp,sdtasdt0(X0,X1)),sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f830,f211]) ).
fof(f880,plain,
! [X0,X1] :
( sz00 = sdtasdt0(sdtpldt0(xp,sdtpldt0(X0,X1)),sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f830,f210]) ).
fof(f830,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtpldt0(xp,X0),sz00) ),
inference(resolution,[],[f319,f164]) ).
fof(f208,plain,
! [X0] :
( doDivides0(sK3(X0),X0)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
! [X0] :
( ( isPrime0(sK3(X0))
& doDivides0(sK3(X0),X0)
& aNaturalNumber0(sK3(X0)) )
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f75,f137]) ).
fof(f137,plain,
! [X0] :
( ? [X1] :
( isPrime0(X1)
& doDivides0(X1,X0)
& aNaturalNumber0(X1) )
=> ( isPrime0(sK3(X0))
& doDivides0(sK3(X0),X0)
& aNaturalNumber0(sK3(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
! [X0] :
( ? [X1] :
( isPrime0(X1)
& doDivides0(X1,X0)
& aNaturalNumber0(X1) )
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f74]) ).
fof(f74,plain,
! [X0] :
( ? [X1] :
( isPrime0(X1)
& doDivides0(X1,X0)
& aNaturalNumber0(X1) )
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0] :
( ( sz10 != X0
& sz00 != X0
& aNaturalNumber0(X0) )
=> ? [X1] :
( isPrime0(X1)
& doDivides0(X1,X0)
& aNaturalNumber0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mPrimDiv) ).
fof(f872,plain,
sz00 = sdtasdt0(sdtpldt0(sz10,xm),sz00),
inference(forward_demodulation,[],[f858,f460]) ).
fof(f858,plain,
sz00 = sdtasdt0(sdtpldt0(xm,sz10),sz00),
inference(resolution,[],[f829,f184]) ).
fof(f866,plain,
sz00 = sdtasdt0(sdtpldt0(xm,xr),sz00),
inference(resolution,[],[f829,f159]) ).
fof(f865,plain,
sz00 = sdtasdt0(sdtpldt0(xm,xp),sz00),
inference(resolution,[],[f829,f164]) ).
fof(f864,plain,
sz00 = sdtasdt0(sdtpldt0(xm,xm),sz00),
inference(resolution,[],[f829,f163]) ).
fof(f870,plain,
! [X0,X1] :
( sz00 = sdtasdt0(sdtpldt0(xm,sK5(X0,X1)),sz00)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f829,f237]) ).
fof(f869,plain,
! [X0,X1] :
( sz00 = sdtasdt0(sdtpldt0(xm,sK4(X0,X1)),sz00)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f829,f234]) ).
fof(f868,plain,
! [X0] :
( sz00 = sdtasdt0(sdtpldt0(xm,sK3(X0)),sz00)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f829,f207]) ).
fof(f867,plain,
! [X0] :
( sz00 = sdtasdt0(sdtpldt0(xm,sK2(X0)),sz00)
| sP0(X0)
| sz10 = X0
| sz00 = X0 ),
inference(resolution,[],[f829,f202]) ).
fof(f862,plain,
! [X0,X1] :
( sz00 = sdtasdt0(sdtpldt0(xm,sdtmndt0(X0,X1)),sz00)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(resolution,[],[f829,f260]) ).
fof(f860,plain,
! [X0,X1] :
( sz00 = sdtasdt0(sdtpldt0(xm,sdtasdt0(X0,X1)),sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f829,f211]) ).
fof(f859,plain,
! [X0,X1] :
( sz00 = sdtasdt0(sdtpldt0(xm,sdtpldt0(X0,X1)),sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f829,f210]) ).
fof(f829,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtpldt0(xm,X0),sz00) ),
inference(resolution,[],[f319,f163]) ).
fof(f851,plain,
sz00 = sdtasdt0(sdtpldt0(sz10,xn),sz00),
inference(forward_demodulation,[],[f837,f433]) ).
fof(f837,plain,
sz00 = sdtasdt0(sdtpldt0(xn,sz10),sz00),
inference(resolution,[],[f828,f184]) ).
fof(f845,plain,
sz00 = sdtasdt0(sdtpldt0(xn,xr),sz00),
inference(resolution,[],[f828,f159]) ).
fof(f844,plain,
sz00 = sdtasdt0(sdtpldt0(xn,xp),sz00),
inference(resolution,[],[f828,f164]) ).
fof(f843,plain,
sz00 = sdtasdt0(sdtpldt0(xn,xm),sz00),
inference(resolution,[],[f828,f163]) ).
fof(f842,plain,
sz00 = sdtasdt0(sdtpldt0(xn,xn),sz00),
inference(resolution,[],[f828,f162]) ).
fof(f849,plain,
! [X0,X1] :
( sz00 = sdtasdt0(sdtpldt0(xn,sK5(X0,X1)),sz00)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f828,f237]) ).
fof(f848,plain,
! [X0,X1] :
( sz00 = sdtasdt0(sdtpldt0(xn,sK4(X0,X1)),sz00)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f828,f234]) ).
fof(f847,plain,
! [X0] :
( sz00 = sdtasdt0(sdtpldt0(xn,sK3(X0)),sz00)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f828,f207]) ).
fof(f846,plain,
! [X0] :
( sz00 = sdtasdt0(sdtpldt0(xn,sK2(X0)),sz00)
| sP0(X0)
| sz10 = X0
| sz00 = X0 ),
inference(resolution,[],[f828,f202]) ).
fof(f841,plain,
! [X0,X1] :
( sz00 = sdtasdt0(sdtpldt0(xn,sdtmndt0(X0,X1)),sz00)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(resolution,[],[f828,f260]) ).
fof(f839,plain,
! [X0,X1] :
( sz00 = sdtasdt0(sdtpldt0(xn,sdtasdt0(X0,X1)),sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f828,f211]) ).
fof(f838,plain,
! [X0,X1] :
( sz00 = sdtasdt0(sdtpldt0(xn,sdtpldt0(X0,X1)),sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f828,f210]) ).
fof(f828,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtpldt0(xn,X0),sz00) ),
inference(resolution,[],[f319,f162]) ).
fof(f205,plain,
! [X0] :
( sK2(X0) != X0
| sP0(X0)
| sz10 = X0
| sz00 = X0 ),
inference(cnf_transformation,[],[f136]) ).
fof(f835,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtpldt0(sK5(X1,X2),X0),sz00)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(resolution,[],[f319,f237]) ).
fof(f834,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtpldt0(sK4(X1,X2),X0),sz00)
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(resolution,[],[f319,f234]) ).
fof(f833,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtpldt0(sK3(X1),X0),sz00)
| sz10 = X1
| sz00 = X1
| ~ aNaturalNumber0(X1) ),
inference(resolution,[],[f319,f207]) ).
fof(f832,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtpldt0(sK2(X1),X0),sz00)
| sP0(X1)
| sz10 = X1
| sz00 = X1 ),
inference(resolution,[],[f319,f202]) ).
fof(f827,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtpldt0(sdtmndt0(X1,X2),X0),sz00)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(resolution,[],[f319,f260]) ).
fof(f825,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtpldt0(sdtasdt0(X1,X2),X0),sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(resolution,[],[f319,f211]) ).
fof(f824,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtpldt0(sdtpldt0(X1,X2),X0),sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(resolution,[],[f319,f210]) ).
fof(f319,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtpldt0(X1,X0),sz00) ),
inference(resolution,[],[f210,f187]) ).
fof(f802,plain,
sz00 = sdtasdt0(sz00,sdtpldt0(sz10,sz10)),
inference(resolution,[],[f683,f184]) ).
fof(f814,plain,
! [X0,X1] :
( sz00 = sdtasdt0(sz00,sdtpldt0(sz10,sK5(X0,X1)))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f683,f237]) ).
fof(f813,plain,
! [X0,X1] :
( sz00 = sdtasdt0(sz00,sdtpldt0(sz10,sK4(X0,X1)))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f683,f234]) ).
fof(f812,plain,
! [X0] :
( sz00 = sdtasdt0(sz00,sdtpldt0(sz10,sK3(X0)))
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f683,f207]) ).
fof(f811,plain,
! [X0] :
( sz00 = sdtasdt0(sz00,sdtpldt0(sz10,sK2(X0)))
| sP0(X0)
| sz10 = X0
| sz00 = X0 ),
inference(resolution,[],[f683,f202]) ).
fof(f806,plain,
! [X0,X1] :
( sz00 = sdtasdt0(sz00,sdtpldt0(sz10,sdtmndt0(X0,X1)))
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(resolution,[],[f683,f260]) ).
fof(f804,plain,
! [X0,X1] :
( sz00 = sdtasdt0(sz00,sdtpldt0(sz10,sdtasdt0(X0,X1)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f683,f211]) ).
fof(f803,plain,
! [X0,X1] :
( sz00 = sdtasdt0(sz00,sdtpldt0(sz10,sdtpldt0(X0,X1)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f683,f210]) ).
fof(f683,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(sz10,X0)) ),
inference(resolution,[],[f318,f184]) ).
fof(f793,plain,
! [X0,X1] :
( sz00 = sdtasdt0(sz00,sdtpldt0(sz00,sK5(X0,X1)))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f682,f237]) ).
fof(f792,plain,
! [X0,X1] :
( sz00 = sdtasdt0(sz00,sdtpldt0(sz00,sK4(X0,X1)))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f682,f234]) ).
fof(f791,plain,
! [X0] :
( sz00 = sdtasdt0(sz00,sdtpldt0(sz00,sK3(X0)))
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f682,f207]) ).
fof(f790,plain,
! [X0] :
( sz00 = sdtasdt0(sz00,sdtpldt0(sz00,sK2(X0)))
| sP0(X0)
| sz10 = X0
| sz00 = X0 ),
inference(resolution,[],[f682,f202]) ).
fof(f785,plain,
! [X0,X1] :
( sz00 = sdtasdt0(sz00,sdtpldt0(sz00,sdtmndt0(X0,X1)))
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(resolution,[],[f682,f260]) ).
fof(f783,plain,
! [X0,X1] :
( sz00 = sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(X0,X1)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f682,f211]) ).
fof(f782,plain,
! [X0,X1] :
( sz00 = sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(X0,X1)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f682,f210]) ).
fof(f682,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(sz00,X0)) ),
inference(resolution,[],[f318,f183]) ).
fof(f774,plain,
sz00 = sdtasdt0(sz00,sdtpldt0(sz10,xr)),
inference(forward_demodulation,[],[f760,f489]) ).
fof(f760,plain,
sz00 = sdtasdt0(sz00,sdtpldt0(xr,sz10)),
inference(resolution,[],[f691,f184]) ).
fof(f768,plain,
sz00 = sdtasdt0(sz00,sdtpldt0(xr,xr)),
inference(resolution,[],[f691,f159]) ).
fof(f204,plain,
! [X0] :
( sz10 != sK2(X0)
| sP0(X0)
| sz10 = X0
| sz00 = X0 ),
inference(cnf_transformation,[],[f136]) ).
fof(f772,plain,
! [X0,X1] :
( sz00 = sdtasdt0(sz00,sdtpldt0(xr,sK5(X0,X1)))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f691,f237]) ).
fof(f771,plain,
! [X0,X1] :
( sz00 = sdtasdt0(sz00,sdtpldt0(xr,sK4(X0,X1)))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f691,f234]) ).
fof(f770,plain,
! [X0] :
( sz00 = sdtasdt0(sz00,sdtpldt0(xr,sK3(X0)))
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f691,f207]) ).
fof(f769,plain,
! [X0] :
( sz00 = sdtasdt0(sz00,sdtpldt0(xr,sK2(X0)))
| sP0(X0)
| sz10 = X0
| sz00 = X0 ),
inference(resolution,[],[f691,f202]) ).
fof(f764,plain,
! [X0,X1] :
( sz00 = sdtasdt0(sz00,sdtpldt0(xr,sdtmndt0(X0,X1)))
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(resolution,[],[f691,f260]) ).
fof(f762,plain,
! [X0,X1] :
( sz00 = sdtasdt0(sz00,sdtpldt0(xr,sdtasdt0(X0,X1)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f691,f211]) ).
fof(f761,plain,
! [X0,X1] :
( sz00 = sdtasdt0(sz00,sdtpldt0(xr,sdtpldt0(X0,X1)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f691,f210]) ).
fof(f691,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(xr,X0)) ),
inference(resolution,[],[f318,f159]) ).
fof(f753,plain,
sz00 = sdtasdt0(sz00,sdtpldt0(sz10,xp)),
inference(forward_demodulation,[],[f739,f475]) ).
fof(f739,plain,
sz00 = sdtasdt0(sz00,sdtpldt0(xp,sz10)),
inference(resolution,[],[f690,f184]) ).
fof(f747,plain,
sz00 = sdtasdt0(sz00,sdtpldt0(xp,xr)),
inference(resolution,[],[f690,f159]) ).
fof(f746,plain,
sz00 = sdtasdt0(sz00,sdtpldt0(xp,xp)),
inference(resolution,[],[f690,f164]) ).
fof(f751,plain,
! [X0,X1] :
( sz00 = sdtasdt0(sz00,sdtpldt0(xp,sK5(X0,X1)))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f690,f237]) ).
fof(f750,plain,
! [X0,X1] :
( sz00 = sdtasdt0(sz00,sdtpldt0(xp,sK4(X0,X1)))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f690,f234]) ).
fof(f749,plain,
! [X0] :
( sz00 = sdtasdt0(sz00,sdtpldt0(xp,sK3(X0)))
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f690,f207]) ).
fof(f748,plain,
! [X0] :
( sz00 = sdtasdt0(sz00,sdtpldt0(xp,sK2(X0)))
| sP0(X0)
| sz10 = X0
| sz00 = X0 ),
inference(resolution,[],[f690,f202]) ).
fof(f743,plain,
! [X0,X1] :
( sz00 = sdtasdt0(sz00,sdtpldt0(xp,sdtmndt0(X0,X1)))
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(resolution,[],[f690,f260]) ).
fof(f741,plain,
! [X0,X1] :
( sz00 = sdtasdt0(sz00,sdtpldt0(xp,sdtasdt0(X0,X1)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f690,f211]) ).
fof(f740,plain,
! [X0,X1] :
( sz00 = sdtasdt0(sz00,sdtpldt0(xp,sdtpldt0(X0,X1)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f690,f210]) ).
fof(f690,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(xp,X0)) ),
inference(resolution,[],[f318,f164]) ).
fof(f732,plain,
sz00 = sdtasdt0(sz00,sdtpldt0(sz10,xm)),
inference(forward_demodulation,[],[f718,f460]) ).
fof(f718,plain,
sz00 = sdtasdt0(sz00,sdtpldt0(xm,sz10)),
inference(resolution,[],[f689,f184]) ).
fof(f726,plain,
sz00 = sdtasdt0(sz00,sdtpldt0(xm,xr)),
inference(resolution,[],[f689,f159]) ).
fof(f725,plain,
sz00 = sdtasdt0(sz00,sdtpldt0(xm,xp)),
inference(resolution,[],[f689,f164]) ).
fof(f724,plain,
sz00 = sdtasdt0(sz00,sdtpldt0(xm,xm)),
inference(resolution,[],[f689,f163]) ).
fof(f730,plain,
! [X0,X1] :
( sz00 = sdtasdt0(sz00,sdtpldt0(xm,sK5(X0,X1)))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f689,f237]) ).
fof(f729,plain,
! [X0,X1] :
( sz00 = sdtasdt0(sz00,sdtpldt0(xm,sK4(X0,X1)))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f689,f234]) ).
fof(f728,plain,
! [X0] :
( sz00 = sdtasdt0(sz00,sdtpldt0(xm,sK3(X0)))
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f689,f207]) ).
fof(f727,plain,
! [X0] :
( sz00 = sdtasdt0(sz00,sdtpldt0(xm,sK2(X0)))
| sP0(X0)
| sz10 = X0
| sz00 = X0 ),
inference(resolution,[],[f689,f202]) ).
fof(f722,plain,
! [X0,X1] :
( sz00 = sdtasdt0(sz00,sdtpldt0(xm,sdtmndt0(X0,X1)))
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(resolution,[],[f689,f260]) ).
fof(f720,plain,
! [X0,X1] :
( sz00 = sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(X0,X1)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f689,f211]) ).
fof(f719,plain,
! [X0,X1] :
( sz00 = sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(X0,X1)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f689,f210]) ).
fof(f689,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(xm,X0)) ),
inference(resolution,[],[f318,f163]) ).
fof(f711,plain,
sz00 = sdtasdt0(sz00,sdtpldt0(sz10,xn)),
inference(forward_demodulation,[],[f697,f433]) ).
fof(f697,plain,
sz00 = sdtasdt0(sz00,sdtpldt0(xn,sz10)),
inference(resolution,[],[f688,f184]) ).
fof(f203,plain,
! [X0] :
( doDivides0(sK2(X0),X0)
| sP0(X0)
| sz10 = X0
| sz00 = X0 ),
inference(cnf_transformation,[],[f136]) ).
fof(f705,plain,
sz00 = sdtasdt0(sz00,sdtpldt0(xn,xr)),
inference(resolution,[],[f688,f159]) ).
fof(f704,plain,
sz00 = sdtasdt0(sz00,sdtpldt0(xn,xp)),
inference(resolution,[],[f688,f164]) ).
fof(f703,plain,
sz00 = sdtasdt0(sz00,sdtpldt0(xn,xm)),
inference(resolution,[],[f688,f163]) ).
fof(f702,plain,
sz00 = sdtasdt0(sz00,sdtpldt0(xn,xn)),
inference(resolution,[],[f688,f162]) ).
fof(f709,plain,
! [X0,X1] :
( sz00 = sdtasdt0(sz00,sdtpldt0(xn,sK5(X0,X1)))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f688,f237]) ).
fof(f708,plain,
! [X0,X1] :
( sz00 = sdtasdt0(sz00,sdtpldt0(xn,sK4(X0,X1)))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f688,f234]) ).
fof(f707,plain,
! [X0] :
( sz00 = sdtasdt0(sz00,sdtpldt0(xn,sK3(X0)))
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f688,f207]) ).
fof(f706,plain,
! [X0] :
( sz00 = sdtasdt0(sz00,sdtpldt0(xn,sK2(X0)))
| sP0(X0)
| sz10 = X0
| sz00 = X0 ),
inference(resolution,[],[f688,f202]) ).
fof(f701,plain,
! [X0,X1] :
( sz00 = sdtasdt0(sz00,sdtpldt0(xn,sdtmndt0(X0,X1)))
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(resolution,[],[f688,f260]) ).
fof(f699,plain,
! [X0,X1] :
( sz00 = sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(X0,X1)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f688,f211]) ).
fof(f698,plain,
! [X0,X1] :
( sz00 = sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(X0,X1)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f688,f210]) ).
fof(f688,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(xn,X0)) ),
inference(resolution,[],[f318,f162]) ).
fof(f695,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(sK5(X1,X2),X0))
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(resolution,[],[f318,f237]) ).
fof(f694,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(sK4(X1,X2),X0))
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(resolution,[],[f318,f234]) ).
fof(f693,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(sK3(X1),X0))
| sz10 = X1
| sz00 = X1
| ~ aNaturalNumber0(X1) ),
inference(resolution,[],[f318,f207]) ).
fof(f692,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(sK2(X1),X0))
| sP0(X1)
| sz10 = X1
| sz00 = X1 ),
inference(resolution,[],[f318,f202]) ).
fof(f687,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(sdtmndt0(X1,X2),X0))
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(resolution,[],[f318,f260]) ).
fof(f685,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(sdtasdt0(X1,X2),X0))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(resolution,[],[f318,f211]) ).
fof(f684,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(sdtpldt0(X1,X2),X0))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(resolution,[],[f318,f210]) ).
fof(f318,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtpldt0(X1,X0)) ),
inference(resolution,[],[f210,f188]) ).
fof(f681,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtmndt0(X1,X0),xr) = sdtasdt0(xr,sdtmndt0(X1,X0)) ),
inference(resolution,[],[f260,f453]) ).
fof(f680,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtmndt0(X1,X0),xp) = sdtasdt0(xp,sdtmndt0(X1,X0)) ),
inference(resolution,[],[f260,f452]) ).
fof(f679,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtmndt0(X1,X0),xm) = sdtasdt0(xm,sdtmndt0(X1,X0)) ),
inference(resolution,[],[f260,f451]) ).
fof(f678,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtmndt0(X1,X0),xn) = sdtasdt0(xn,sdtmndt0(X1,X0)) ),
inference(resolution,[],[f260,f450]) ).
fof(f677,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtmndt0(X1,X0),sz10) = sdtasdt0(sz10,sdtmndt0(X1,X0)) ),
inference(resolution,[],[f260,f446]) ).
fof(f676,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtmndt0(X1,X0),sz00) = sdtasdt0(sz00,sdtmndt0(X1,X0)) ),
inference(resolution,[],[f260,f445]) ).
fof(f675,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(sdtmndt0(X1,X0),xr) = sdtpldt0(xr,sdtmndt0(X1,X0)) ),
inference(resolution,[],[f260,f429]) ).
fof(f674,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(sdtmndt0(X1,X0),xp) = sdtpldt0(xp,sdtmndt0(X1,X0)) ),
inference(resolution,[],[f260,f428]) ).
fof(f673,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(sdtmndt0(X1,X0),xm) = sdtpldt0(xm,sdtmndt0(X1,X0)) ),
inference(resolution,[],[f260,f427]) ).
fof(f672,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(sdtmndt0(X1,X0),xn) = sdtpldt0(xn,sdtmndt0(X1,X0)) ),
inference(resolution,[],[f260,f426]) ).
fof(f671,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(sdtmndt0(X1,X0),sz10) = sdtpldt0(sz10,sdtmndt0(X1,X0)) ),
inference(resolution,[],[f260,f422]) ).
fof(f670,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(sdtmndt0(X1,X0),sz00) = sdtpldt0(sz00,sdtmndt0(X1,X0)) ),
inference(resolution,[],[f260,f421]) ).
fof(f669,plain,
! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X2,sdtmndt0(X1,X0)) = sdtasdt0(sdtmndt0(X1,X0),X2)
| ~ aNaturalNumber0(X2) ),
inference(resolution,[],[f260,f213]) ).
fof(f668,plain,
! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X2,sdtmndt0(X1,X0)) = sdtpldt0(sdtmndt0(X1,X0),X2)
| ~ aNaturalNumber0(X2) ),
inference(resolution,[],[f260,f212]) ).
fof(f667,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtmndt0(X1,X0) = sdtasdt0(sz10,sdtmndt0(X1,X0)) ),
inference(resolution,[],[f260,f192]) ).
fof(f666,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtmndt0(X1,X0) = sdtasdt0(sdtmndt0(X1,X0),sz10) ),
inference(resolution,[],[f260,f191]) ).
fof(f665,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtmndt0(X1,X0) = sdtpldt0(sz00,sdtmndt0(X1,X0)) ),
inference(resolution,[],[f260,f190]) ).
fof(f664,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtmndt0(X1,X0) = sdtpldt0(sdtmndt0(X1,X0),sz00) ),
inference(resolution,[],[f260,f189]) ).
fof(f663,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtmndt0(X1,X0)) ),
inference(resolution,[],[f260,f188]) ).
fof(f662,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sdtmndt0(X1,X0),sz00) ),
inference(resolution,[],[f260,f187]) ).
fof(f260,plain,
! [X0,X1] :
( aNaturalNumber0(sdtmndt0(X1,X0))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f217]) ).
fof(f217,plain,
! [X2,X0,X1] :
( aNaturalNumber0(X2)
| sdtmndt0(X1,X0) != X2
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtmndt0(X1,X0) = X2
| sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
& ( ( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) )
| sdtmndt0(X1,X0) != X2 ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f139]) ).
fof(f139,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtmndt0(X1,X0) = X2
| sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
& ( ( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) )
| sdtmndt0(X1,X0) != X2 ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(nnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X1] :
( ! [X2] :
( sdtmndt0(X1,X0) = X2
<=> ( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f88]) ).
fof(f88,plain,
! [X0,X1] :
( ! [X2] :
( sdtmndt0(X1,X0) = X2
<=> ( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sdtlseqdt0(X0,X1)
=> ! [X2] :
( sdtmndt0(X1,X0) = X2
<=> ( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiff) ).
fof(f655,plain,
! [X0,X1] :
( sdtasdt0(sK5(X0,X1),sz10) = sdtasdt0(sz10,sK5(X0,X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f446,f237]) ).
fof(f654,plain,
! [X0,X1] :
( sdtasdt0(sK4(X0,X1),sz10) = sdtasdt0(sz10,sK4(X0,X1))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f446,f234]) ).
fof(f653,plain,
! [X0] :
( sdtasdt0(sz10,sK3(X0)) = sdtasdt0(sK3(X0),sz10)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f446,f207]) ).
fof(f652,plain,
! [X0] :
( sdtasdt0(sz10,sK2(X0)) = sdtasdt0(sK2(X0),sz10)
| sP0(X0)
| sz10 = X0
| sz00 = X0 ),
inference(resolution,[],[f446,f202]) ).
fof(f646,plain,
! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sz10) = sdtasdt0(sz10,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f446,f211]) ).
fof(f645,plain,
! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sz10) = sdtasdt0(sz10,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f446,f210]) ).
fof(f446,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sz10) = sdtasdt0(sz10,X0) ),
inference(resolution,[],[f213,f184]) ).
fof(f636,plain,
! [X0,X1] :
( sdtasdt0(sK5(X0,X1),sz00) = sdtasdt0(sz00,sK5(X0,X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f445,f237]) ).
fof(f635,plain,
! [X0,X1] :
( sdtasdt0(sK4(X0,X1),sz00) = sdtasdt0(sz00,sK4(X0,X1))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f445,f234]) ).
fof(f634,plain,
! [X0] :
( sdtasdt0(sz00,sK3(X0)) = sdtasdt0(sK3(X0),sz00)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f445,f207]) ).
fof(f633,plain,
! [X0] :
( sdtasdt0(sz00,sK2(X0)) = sdtasdt0(sK2(X0),sz00)
| sP0(X0)
| sz10 = X0
| sz00 = X0 ),
inference(resolution,[],[f445,f202]) ).
fof(f627,plain,
! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sz00) = sdtasdt0(sz00,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f445,f211]) ).
fof(f626,plain,
! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sz00) = sdtasdt0(sz00,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f445,f210]) ).
fof(f445,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sz00) = sdtasdt0(sz00,X0) ),
inference(resolution,[],[f213,f183]) ).
fof(f622,plain,
! [X0,X1] :
( sdtpldt0(sK5(X0,X1),sz10) = sdtpldt0(sz10,sK5(X0,X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f422,f237]) ).
fof(f621,plain,
! [X0,X1] :
( sdtpldt0(sK4(X0,X1),sz10) = sdtpldt0(sz10,sK4(X0,X1))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f422,f234]) ).
fof(f620,plain,
! [X0] :
( sdtpldt0(sK3(X0),sz10) = sdtpldt0(sz10,sK3(X0))
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f422,f207]) ).
fof(f619,plain,
! [X0] :
( sdtpldt0(sK2(X0),sz10) = sdtpldt0(sz10,sK2(X0))
| sP0(X0)
| sz10 = X0
| sz00 = X0 ),
inference(resolution,[],[f422,f202]) ).
fof(f613,plain,
! [X0,X1] :
( sdtpldt0(sdtasdt0(X0,X1),sz10) = sdtpldt0(sz10,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f422,f211]) ).
fof(f612,plain,
! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sz10) = sdtpldt0(sz10,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f422,f210]) ).
fof(f422,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sz10) = sdtpldt0(sz10,X0) ),
inference(resolution,[],[f212,f184]) ).
fof(f603,plain,
! [X0,X1] :
( sdtpldt0(sK5(X0,X1),sz00) = sdtpldt0(sz00,sK5(X0,X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f421,f237]) ).
fof(f602,plain,
! [X0,X1] :
( sdtpldt0(sK4(X0,X1),sz00) = sdtpldt0(sz00,sK4(X0,X1))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f421,f234]) ).
fof(f601,plain,
! [X0] :
( sdtpldt0(sz00,sK3(X0)) = sdtpldt0(sK3(X0),sz00)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f421,f207]) ).
fof(f600,plain,
! [X0] :
( sdtpldt0(sz00,sK2(X0)) = sdtpldt0(sK2(X0),sz00)
| sP0(X0)
| sz10 = X0
| sz00 = X0 ),
inference(resolution,[],[f421,f202]) ).
fof(f594,plain,
! [X0,X1] :
( sdtpldt0(sdtasdt0(X0,X1),sz00) = sdtpldt0(sz00,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f421,f211]) ).
fof(f593,plain,
! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(sz00,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f421,f210]) ).
fof(f421,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sz00) = sdtpldt0(sz00,X0) ),
inference(resolution,[],[f212,f183]) ).
fof(f590,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sK5(X0,X1),xr) = sdtasdt0(xr,sK5(X0,X1)) ),
inference(resolution,[],[f237,f453]) ).
fof(f589,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sK5(X0,X1),xp) = sdtasdt0(xp,sK5(X0,X1)) ),
inference(resolution,[],[f237,f452]) ).
fof(f588,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sK5(X0,X1),xm) = sdtasdt0(xm,sK5(X0,X1)) ),
inference(resolution,[],[f237,f451]) ).
fof(f587,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sK5(X0,X1),xn) = sdtasdt0(xn,sK5(X0,X1)) ),
inference(resolution,[],[f237,f450]) ).
fof(f586,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(sK5(X0,X1),xr) = sdtpldt0(xr,sK5(X0,X1)) ),
inference(resolution,[],[f237,f429]) ).
fof(f585,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(sK5(X0,X1),xp) = sdtpldt0(xp,sK5(X0,X1)) ),
inference(resolution,[],[f237,f428]) ).
fof(f584,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(sK5(X0,X1),xm) = sdtpldt0(xm,sK5(X0,X1)) ),
inference(resolution,[],[f237,f427]) ).
fof(f583,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(sK5(X0,X1),xn) = sdtpldt0(xn,sK5(X0,X1)) ),
inference(resolution,[],[f237,f426]) ).
fof(f582,plain,
! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X2,sK5(X0,X1)) = sdtasdt0(sK5(X0,X1),X2)
| ~ aNaturalNumber0(X2) ),
inference(resolution,[],[f237,f213]) ).
fof(f581,plain,
! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X2,sK5(X0,X1)) = sdtpldt0(sK5(X0,X1),X2)
| ~ aNaturalNumber0(X2) ),
inference(resolution,[],[f237,f212]) ).
fof(f580,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK5(X0,X1) = sdtasdt0(sz10,sK5(X0,X1)) ),
inference(resolution,[],[f237,f192]) ).
fof(f579,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK5(X0,X1) = sdtasdt0(sK5(X0,X1),sz10) ),
inference(resolution,[],[f237,f191]) ).
fof(f578,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK5(X0,X1) = sdtpldt0(sz00,sK5(X0,X1)) ),
inference(resolution,[],[f237,f190]) ).
fof(f577,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK5(X0,X1) = sdtpldt0(sK5(X0,X1),sz00) ),
inference(resolution,[],[f237,f189]) ).
fof(f576,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sK5(X0,X1)) ),
inference(resolution,[],[f237,f188]) ).
fof(f575,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sK5(X0,X1),sz00) ),
inference(resolution,[],[f237,f187]) ).
fof(f237,plain,
! [X0,X1] :
( aNaturalNumber0(sK5(X0,X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f150]) ).
fof(f150,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ! [X2] :
( sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) ) )
& ( ( sdtpldt0(X0,sK5(X0,X1)) = X1
& aNaturalNumber0(sK5(X0,X1)) )
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f148,f149]) ).
fof(f149,plain,
! [X0,X1] :
( ? [X3] :
( sdtpldt0(X0,X3) = X1
& aNaturalNumber0(X3) )
=> ( sdtpldt0(X0,sK5(X0,X1)) = X1
& aNaturalNumber0(sK5(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f148,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ! [X2] :
( sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) ) )
& ( ? [X3] :
( sdtpldt0(X0,X3) = X1
& aNaturalNumber0(X3) )
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(rectify,[],[f147]) ).
fof(f147,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ! [X2] :
( sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) ) )
& ( ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) )
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(nnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f108]) ).
fof(f108,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefLE) ).
fof(f572,plain,
! [X0,X1] :
( sdtasdt0(sK4(X0,X1),xr) = sdtasdt0(xr,sK4(X0,X1))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f453,f234]) ).
fof(f571,plain,
! [X0] :
( sdtasdt0(sK3(X0),xr) = sdtasdt0(xr,sK3(X0))
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f453,f207]) ).
fof(f570,plain,
! [X0] :
( sdtasdt0(sK2(X0),xr) = sdtasdt0(xr,sK2(X0))
| sP0(X0)
| sz10 = X0
| sz00 = X0 ),
inference(resolution,[],[f453,f202]) ).
fof(f564,plain,
! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xr) = sdtasdt0(xr,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f453,f211]) ).
fof(f563,plain,
! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xr) = sdtasdt0(xr,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f453,f210]) ).
fof(f453,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,xr) = sdtasdt0(xr,X0) ),
inference(resolution,[],[f213,f159]) ).
fof(f554,plain,
sdtasdt0(xr,xp) = sdtasdt0(xp,xr),
inference(resolution,[],[f452,f159]) ).
fof(f557,plain,
! [X0,X1] :
( sdtasdt0(sK4(X0,X1),xp) = sdtasdt0(xp,sK4(X0,X1))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f452,f234]) ).
fof(f556,plain,
! [X0] :
( sdtasdt0(sK3(X0),xp) = sdtasdt0(xp,sK3(X0))
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f452,f207]) ).
fof(f555,plain,
! [X0] :
( sdtasdt0(sK2(X0),xp) = sdtasdt0(xp,sK2(X0))
| sP0(X0)
| sz10 = X0
| sz00 = X0 ),
inference(resolution,[],[f452,f202]) ).
fof(f549,plain,
! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xp) = sdtasdt0(xp,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f452,f211]) ).
fof(f548,plain,
! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xp) = sdtasdt0(xp,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f452,f210]) ).
fof(f452,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,xp) = sdtasdt0(xp,X0) ),
inference(resolution,[],[f213,f164]) ).
fof(f538,plain,
sdtasdt0(xr,xm) = sdtasdt0(xm,xr),
inference(resolution,[],[f451,f159]) ).
fof(f537,plain,
sdtasdt0(xp,xm) = sdtasdt0(xm,xp),
inference(resolution,[],[f451,f164]) ).
fof(f541,plain,
! [X0,X1] :
( sdtasdt0(sK4(X0,X1),xm) = sdtasdt0(xm,sK4(X0,X1))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f451,f234]) ).
fof(f540,plain,
! [X0] :
( sdtasdt0(sK3(X0),xm) = sdtasdt0(xm,sK3(X0))
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f451,f207]) ).
fof(f539,plain,
! [X0] :
( sdtasdt0(sK2(X0),xm) = sdtasdt0(xm,sK2(X0))
| sP0(X0)
| sz10 = X0
| sz00 = X0 ),
inference(resolution,[],[f451,f202]) ).
fof(f533,plain,
! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xm) = sdtasdt0(xm,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f451,f211]) ).
fof(f532,plain,
! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xm) = sdtasdt0(xm,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f451,f210]) ).
fof(f451,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,xm) = sdtasdt0(xm,X0) ),
inference(resolution,[],[f213,f163]) ).
fof(f521,plain,
sdtasdt0(xr,xn) = sdtasdt0(xn,xr),
inference(resolution,[],[f450,f159]) ).
fof(f520,plain,
sdtasdt0(xp,xn) = sdtasdt0(xn,xp),
inference(resolution,[],[f450,f164]) ).
fof(f519,plain,
sdtasdt0(xn,xm) = sdtasdt0(xm,xn),
inference(resolution,[],[f450,f163]) ).
fof(f524,plain,
! [X0,X1] :
( sdtasdt0(sK4(X0,X1),xn) = sdtasdt0(xn,sK4(X0,X1))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f450,f234]) ).
fof(f523,plain,
! [X0] :
( sdtasdt0(sK3(X0),xn) = sdtasdt0(xn,sK3(X0))
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f450,f207]) ).
fof(f522,plain,
! [X0] :
( sdtasdt0(sK2(X0),xn) = sdtasdt0(xn,sK2(X0))
| sP0(X0)
| sz10 = X0
| sz00 = X0 ),
inference(resolution,[],[f450,f202]) ).
fof(f516,plain,
! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xn) = sdtasdt0(xn,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f450,f211]) ).
fof(f515,plain,
! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xn) = sdtasdt0(xn,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f450,f210]) ).
fof(f450,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,xn) = sdtasdt0(xn,X0) ),
inference(resolution,[],[f213,f162]) ).
fof(f489,plain,
sdtpldt0(sz10,xr) = sdtpldt0(xr,sz10),
inference(resolution,[],[f429,f184]) ).
fof(f511,plain,
! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(sK4(X0,X1),xr) = sdtpldt0(xr,sK4(X0,X1)) ),
inference(resolution,[],[f234,f429]) ).
fof(f510,plain,
! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(sK4(X0,X1),xp) = sdtpldt0(xp,sK4(X0,X1)) ),
inference(resolution,[],[f234,f428]) ).
fof(f509,plain,
! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(sK4(X0,X1),xm) = sdtpldt0(xm,sK4(X0,X1)) ),
inference(resolution,[],[f234,f427]) ).
fof(f508,plain,
! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(sK4(X0,X1),xn) = sdtpldt0(xn,sK4(X0,X1)) ),
inference(resolution,[],[f234,f426]) ).
fof(f507,plain,
! [X2,X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X2,sK4(X0,X1)) = sdtasdt0(sK4(X0,X1),X2)
| ~ aNaturalNumber0(X2) ),
inference(resolution,[],[f234,f213]) ).
fof(f506,plain,
! [X2,X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X2,sK4(X0,X1)) = sdtpldt0(sK4(X0,X1),X2)
| ~ aNaturalNumber0(X2) ),
inference(resolution,[],[f234,f212]) ).
fof(f505,plain,
! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK4(X0,X1) = sdtasdt0(sz10,sK4(X0,X1)) ),
inference(resolution,[],[f234,f192]) ).
fof(f504,plain,
! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK4(X0,X1) = sdtasdt0(sK4(X0,X1),sz10) ),
inference(resolution,[],[f234,f191]) ).
fof(f503,plain,
! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK4(X0,X1) = sdtpldt0(sz00,sK4(X0,X1)) ),
inference(resolution,[],[f234,f190]) ).
fof(f502,plain,
! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sK4(X0,X1) = sdtpldt0(sK4(X0,X1),sz00) ),
inference(resolution,[],[f234,f189]) ).
fof(f501,plain,
! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sK4(X0,X1)) ),
inference(resolution,[],[f234,f188]) ).
fof(f500,plain,
! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sK4(X0,X1),sz00) ),
inference(resolution,[],[f234,f187]) ).
fof(f234,plain,
! [X0,X1] :
( aNaturalNumber0(sK4(X0,X1))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f498,plain,
! [X0] :
( sdtpldt0(sK3(X0),xr) = sdtpldt0(xr,sK3(X0))
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f429,f207]) ).
fof(f497,plain,
! [X0] :
( sdtpldt0(sK2(X0),xr) = sdtpldt0(xr,sK2(X0))
| sP0(X0)
| sz10 = X0
| sz00 = X0 ),
inference(resolution,[],[f429,f202]) ).
fof(f491,plain,
! [X0,X1] :
( sdtpldt0(sdtasdt0(X0,X1),xr) = sdtpldt0(xr,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f429,f211]) ).
fof(f490,plain,
! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xr) = sdtpldt0(xr,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f429,f210]) ).
fof(f429,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,xr) = sdtpldt0(xr,X0) ),
inference(resolution,[],[f212,f159]) ).
fof(f482,plain,
sdtpldt0(xr,xp) = sdtpldt0(xp,xr),
inference(resolution,[],[f428,f159]) ).
fof(f475,plain,
sdtpldt0(sz10,xp) = sdtpldt0(xp,sz10),
inference(resolution,[],[f428,f184]) ).
fof(f484,plain,
! [X0] :
( sdtpldt0(sK3(X0),xp) = sdtpldt0(xp,sK3(X0))
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f428,f207]) ).
fof(f483,plain,
! [X0] :
( sdtpldt0(sK2(X0),xp) = sdtpldt0(xp,sK2(X0))
| sP0(X0)
| sz10 = X0
| sz00 = X0 ),
inference(resolution,[],[f428,f202]) ).
fof(f477,plain,
! [X0,X1] :
( sdtpldt0(sdtasdt0(X0,X1),xp) = sdtpldt0(xp,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f428,f211]) ).
fof(f476,plain,
! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xp) = sdtpldt0(xp,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f428,f210]) ).
fof(f428,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,xp) = sdtpldt0(xp,X0) ),
inference(resolution,[],[f212,f164]) ).
fof(f467,plain,
sdtpldt0(xr,xm) = sdtpldt0(xm,xr),
inference(resolution,[],[f427,f159]) ).
fof(f466,plain,
sdtpldt0(xp,xm) = sdtpldt0(xm,xp),
inference(resolution,[],[f427,f164]) ).
fof(f460,plain,
sdtpldt0(sz10,xm) = sdtpldt0(xm,sz10),
inference(resolution,[],[f427,f184]) ).
fof(f469,plain,
! [X0] :
( sdtpldt0(sK3(X0),xm) = sdtpldt0(xm,sK3(X0))
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f427,f207]) ).
fof(f468,plain,
! [X0] :
( sdtpldt0(sK2(X0),xm) = sdtpldt0(xm,sK2(X0))
| sP0(X0)
| sz10 = X0
| sz00 = X0 ),
inference(resolution,[],[f427,f202]) ).
fof(f462,plain,
! [X0,X1] :
( sdtpldt0(sdtasdt0(X0,X1),xm) = sdtpldt0(xm,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f427,f211]) ).
fof(f461,plain,
! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xm) = sdtpldt0(xm,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f427,f210]) ).
fof(f427,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,xm) = sdtpldt0(xm,X0) ),
inference(resolution,[],[f212,f163]) ).
fof(f440,plain,
sdtpldt0(xr,xn) = sdtpldt0(xn,xr),
inference(resolution,[],[f426,f159]) ).
fof(f439,plain,
sdtpldt0(xp,xn) = sdtpldt0(xn,xp),
inference(resolution,[],[f426,f164]) ).
fof(f438,plain,
sdtpldt0(xn,xm) = sdtpldt0(xm,xn),
inference(resolution,[],[f426,f163]) ).
fof(f455,plain,
! [X0,X1] :
( sdtasdt0(X0,sK3(X1)) = sdtasdt0(sK3(X1),X0)
| ~ aNaturalNumber0(X0)
| sz10 = X1
| sz00 = X1
| ~ aNaturalNumber0(X1) ),
inference(resolution,[],[f213,f207]) ).
fof(f454,plain,
! [X0,X1] :
( sdtasdt0(X0,sK2(X1)) = sdtasdt0(sK2(X1),X0)
| ~ aNaturalNumber0(X0)
| sP0(X1)
| sz10 = X1
| sz00 = X1 ),
inference(resolution,[],[f213,f202]) ).
fof(f448,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X1,X2),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(resolution,[],[f213,f211]) ).
fof(f447,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtasdt0(sdtpldt0(X1,X2),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(resolution,[],[f213,f210]) ).
fof(f213,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f82]) ).
fof(f82,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).
fof(f433,plain,
sdtpldt0(sz10,xn) = sdtpldt0(xn,sz10),
inference(resolution,[],[f426,f184]) ).
fof(f442,plain,
! [X0] :
( sdtpldt0(sK3(X0),xn) = sdtpldt0(xn,sK3(X0))
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f426,f207]) ).
fof(f441,plain,
! [X0] :
( sdtpldt0(sK2(X0),xn) = sdtpldt0(xn,sK2(X0))
| sP0(X0)
| sz10 = X0
| sz00 = X0 ),
inference(resolution,[],[f426,f202]) ).
fof(f435,plain,
! [X0,X1] :
( sdtpldt0(sdtasdt0(X0,X1),xn) = sdtpldt0(xn,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f426,f211]) ).
fof(f434,plain,
! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xn) = sdtpldt0(xn,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f426,f210]) ).
fof(f426,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,xn) = sdtpldt0(xn,X0) ),
inference(resolution,[],[f212,f162]) ).
fof(f431,plain,
! [X0,X1] :
( sdtpldt0(X0,sK3(X1)) = sdtpldt0(sK3(X1),X0)
| ~ aNaturalNumber0(X0)
| sz10 = X1
| sz00 = X1
| ~ aNaturalNumber0(X1) ),
inference(resolution,[],[f212,f207]) ).
fof(f430,plain,
! [X0,X1] :
( sdtpldt0(X0,sK2(X1)) = sdtpldt0(sK2(X1),X0)
| ~ aNaturalNumber0(X0)
| sP0(X1)
| sz10 = X1
| sz00 = X1 ),
inference(resolution,[],[f212,f202]) ).
fof(f424,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,sdtasdt0(X1,X2)) = sdtpldt0(sdtasdt0(X1,X2),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(resolution,[],[f212,f211]) ).
fof(f423,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X1,X2),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(resolution,[],[f212,f210]) ).
fof(f212,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddComm) ).
fof(f209,plain,
! [X0] :
( isPrime0(sK3(X0))
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f420,plain,
! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sK3(X0),sz00) ),
inference(resolution,[],[f207,f187]) ).
fof(f419,plain,
! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sK3(X0)) ),
inference(resolution,[],[f207,f188]) ).
fof(f418,plain,
! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sK3(X0) = sdtpldt0(sK3(X0),sz00) ),
inference(resolution,[],[f207,f189]) ).
fof(f417,plain,
! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sK3(X0) = sdtpldt0(sz00,sK3(X0)) ),
inference(resolution,[],[f207,f190]) ).
fof(f416,plain,
! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sK3(X0) = sdtasdt0(sK3(X0),sz10) ),
inference(resolution,[],[f207,f191]) ).
fof(f415,plain,
! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sK3(X0) = sdtasdt0(sz10,sK3(X0)) ),
inference(resolution,[],[f207,f192]) ).
fof(f207,plain,
! [X0] :
( aNaturalNumber0(sK3(X0))
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f414,plain,
! [X0] :
( sP0(X0)
| sz10 = X0
| sz00 = X0
| sz00 = sdtasdt0(sK2(X0),sz00) ),
inference(resolution,[],[f202,f187]) ).
fof(f413,plain,
! [X0] :
( sP0(X0)
| sz10 = X0
| sz00 = X0
| sz00 = sdtasdt0(sz00,sK2(X0)) ),
inference(resolution,[],[f202,f188]) ).
fof(f412,plain,
! [X0] :
( sP0(X0)
| sz10 = X0
| sz00 = X0
| sK2(X0) = sdtpldt0(sK2(X0),sz00) ),
inference(resolution,[],[f202,f189]) ).
fof(f411,plain,
! [X0] :
( sP0(X0)
| sz10 = X0
| sz00 = X0
| sK2(X0) = sdtpldt0(sz00,sK2(X0)) ),
inference(resolution,[],[f202,f190]) ).
fof(f410,plain,
! [X0] :
( sP0(X0)
| sz10 = X0
| sz00 = X0
| sK2(X0) = sdtasdt0(sK2(X0),sz10) ),
inference(resolution,[],[f202,f191]) ).
fof(f409,plain,
! [X0] :
( sP0(X0)
| sz10 = X0
| sz00 = X0
| sK2(X0) = sdtasdt0(sz10,sK2(X0)) ),
inference(resolution,[],[f202,f192]) ).
fof(f202,plain,
! [X0] :
( aNaturalNumber0(sK2(X0))
| sP0(X0)
| sz10 = X0
| sz00 = X0 ),
inference(cnf_transformation,[],[f136]) ).
fof(f194,plain,
! [X0] :
( sdtlseqdt0(sz10,X0)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0] :
( ( sdtlseqdt0(sz10,X0)
& sz10 != X0 )
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f68]) ).
fof(f68,plain,
! [X0] :
( ( sdtlseqdt0(sz10,X0)
& sz10 != X0 )
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( ( sdtlseqdt0(sz10,X0)
& sz10 != X0 )
| sz10 = X0
| sz00 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLENTr) ).
fof(f369,plain,
sdtasdt0(xn,xm) = sdtasdt0(sdtasdt0(xp,sdtsldt0(xk,xr)),xr),
inference(forward_demodulation,[],[f177,f156]) ).
fof(f382,plain,
( aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xp,xk),xr)) ),
inference(subsumption_resolution,[],[f381,f159]) ).
fof(f381,plain,
( aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xp,xk),xr)) ),
inference(superposition,[],[f211,f178]) ).
fof(f178,plain,
sdtasdt0(xn,xm) = sdtasdt0(sdtsldt0(sdtasdt0(xp,xk),xr),xr),
inference(cnf_transformation,[],[f54]) ).
fof(f54,axiom,
( sdtasdt0(xn,xm) = sdtasdt0(sdtsldt0(sdtasdt0(xp,xk),xr),xr)
& sdtasdt0(xn,xm) = sdtasdt0(sdtasdt0(sdtsldt0(xn,xr),xm),xr) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2576) ).
fof(f368,plain,
( aNaturalNumber0(sdtasdt0(xp,sdtsldt0(xk,xr)))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(subsumption_resolution,[],[f367,f163]) ).
fof(f367,plain,
( aNaturalNumber0(sdtasdt0(xp,sdtsldt0(xk,xr)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[],[f211,f156]) ).
fof(f215,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0,X1] :
( ( sdtlseqdt0(X1,X0)
& X0 != X1 )
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f84]) ).
fof(f84,plain,
! [X0,X1] :
( ( sdtlseqdt0(X1,X0)
& X0 != X1 )
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X0)
& X0 != X1 )
| sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETotal) ).
fof(f337,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = sdtasdt0(sdtasdt0(X1,X0),sz00) ),
inference(resolution,[],[f211,f187]) ).
fof(f336,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sdtasdt0(X1,X0)) ),
inference(resolution,[],[f211,f188]) ).
fof(f335,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X1,X0) = sdtpldt0(sdtasdt0(X1,X0),sz00) ),
inference(resolution,[],[f211,f189]) ).
fof(f334,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X1,X0) = sdtpldt0(sz00,sdtasdt0(X1,X0)) ),
inference(resolution,[],[f211,f190]) ).
fof(f333,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X1,X0) = sdtasdt0(sdtasdt0(X1,X0),sz10) ),
inference(resolution,[],[f211,f191]) ).
fof(f332,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X1,X0) = sdtasdt0(sz10,sdtasdt0(X1,X0)) ),
inference(resolution,[],[f211,f192]) ).
fof(f317,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,X0) = sdtpldt0(sdtpldt0(X1,X0),sz00) ),
inference(resolution,[],[f210,f189]) ).
fof(f316,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,X0) = sdtpldt0(sz00,sdtpldt0(X1,X0)) ),
inference(resolution,[],[f210,f190]) ).
fof(f315,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,X0) = sdtasdt0(sdtpldt0(X1,X0),sz10) ),
inference(resolution,[],[f210,f191]) ).
fof(f314,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,X0) = sdtasdt0(sz10,sdtpldt0(X1,X0)) ),
inference(resolution,[],[f210,f192]) ).
fof(f210,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB) ).
fof(f303,plain,
sz10 = sdtasdt0(sz10,sz10),
inference(resolution,[],[f191,f184]) ).
fof(f312,plain,
xp = sdtasdt0(sz10,xp),
inference(resolution,[],[f192,f164]) ).
fof(f311,plain,
xm = sdtasdt0(sz10,xm),
inference(resolution,[],[f192,f163]) ).
fof(f310,plain,
xn = sdtasdt0(sz10,xn),
inference(resolution,[],[f192,f162]) ).
fof(f309,plain,
sz10 = sdtasdt0(sz10,sz10),
inference(resolution,[],[f192,f184]) ).
fof(f307,plain,
xr = sdtasdt0(xr,sz10),
inference(resolution,[],[f191,f159]) ).
fof(f306,plain,
xp = sdtasdt0(xp,sz10),
inference(resolution,[],[f191,f164]) ).
fof(f305,plain,
xm = sdtasdt0(xm,sz10),
inference(resolution,[],[f191,f163]) ).
fof(f304,plain,
xn = sdtasdt0(xn,sz10),
inference(resolution,[],[f191,f162]) ).
fof(f191,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sz10) = X0 ),
inference(cnf_transformation,[],[f67]) ).
fof(f297,plain,
sz10 = sdtpldt0(sz00,sz10),
inference(resolution,[],[f190,f184]) ).
fof(f291,plain,
sz10 = sdtpldt0(sz10,sz00),
inference(resolution,[],[f189,f184]) ).
fof(f301,plain,
xr = sdtpldt0(sz00,xr),
inference(resolution,[],[f190,f159]) ).
fof(f300,plain,
xp = sdtpldt0(sz00,xp),
inference(resolution,[],[f190,f164]) ).
fof(f299,plain,
xm = sdtpldt0(sz00,xm),
inference(resolution,[],[f190,f163]) ).
fof(f298,plain,
xn = sdtpldt0(sz00,xn),
inference(resolution,[],[f190,f162]) ).
fof(f190,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sz00,X0) = X0 ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0] :
( ( sdtpldt0(sz00,X0) = X0
& sdtpldt0(X0,sz00) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtpldt0(sz00,X0) = X0
& sdtpldt0(X0,sz00) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_AddZero) ).
fof(f290,plain,
sz00 = sdtpldt0(sz00,sz00),
inference(resolution,[],[f189,f183]) ).
fof(f295,plain,
xr = sdtpldt0(xr,sz00),
inference(resolution,[],[f189,f159]) ).
fof(f294,plain,
xp = sdtpldt0(xp,sz00),
inference(resolution,[],[f189,f164]) ).
fof(f293,plain,
xm = sdtpldt0(xm,sz00),
inference(resolution,[],[f189,f163]) ).
fof(f292,plain,
xn = sdtpldt0(xn,sz00),
inference(resolution,[],[f189,f162]) ).
fof(f189,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sz00) = X0 ),
inference(cnf_transformation,[],[f66]) ).
fof(f285,plain,
sz00 = sdtasdt0(sz00,sz10),
inference(resolution,[],[f188,f184]) ).
fof(f289,plain,
sz00 = sdtasdt0(sz00,xr),
inference(resolution,[],[f188,f159]) ).
fof(f288,plain,
sz00 = sdtasdt0(sz00,xp),
inference(resolution,[],[f188,f164]) ).
fof(f286,plain,
sz00 = sdtasdt0(sz00,xn),
inference(resolution,[],[f188,f162]) ).
fof(f279,plain,
sz00 = sdtasdt0(sz10,sz00),
inference(resolution,[],[f187,f184]) ).
fof(f278,plain,
sz00 = sdtasdt0(sz00,sz00),
inference(resolution,[],[f187,f183]) ).
fof(f283,plain,
sz00 = sdtasdt0(xr,sz00),
inference(resolution,[],[f187,f159]) ).
fof(f282,plain,
sz00 = sdtasdt0(xp,sz00),
inference(resolution,[],[f187,f164]) ).
fof(f281,plain,
sz00 = sdtasdt0(xm,sz00),
inference(resolution,[],[f187,f163]) ).
fof(f280,plain,
sz00 = sdtasdt0(xn,sz00),
inference(resolution,[],[f187,f162]) ).
fof(f187,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(X0,sz00) ),
inference(cnf_transformation,[],[f65]) ).
fof(f271,plain,
! [X0] :
( ~ sP0(X0)
| isPrime0(X0)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f198,f206]) ).
fof(f274,plain,
~ isPrime0(sz10),
inference(subsumption_resolution,[],[f272,f184]) ).
fof(f272,plain,
( ~ isPrime0(sz10)
| ~ aNaturalNumber0(sz10) ),
inference(resolution,[],[f270,f255]) ).
fof(f198,plain,
! [X0] :
( ~ sP1(X0)
| ~ sP0(X0)
| isPrime0(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f186,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,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(f176,plain,
sdtlseqdt0(sdtsldt0(xn,xr),xn),
inference(cnf_transformation,[],[f53]) ).
fof(f53,axiom,
( sdtlseqdt0(sdtsldt0(xn,xr),xn)
& xn != sdtsldt0(xn,xr) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2504) ).
fof(f175,plain,
xn != sdtsldt0(xn,xr),
inference(cnf_transformation,[],[f53]) ).
fof(f174,plain,
doDivides0(xr,sdtasdt0(xn,xm)),
inference(cnf_transformation,[],[f49]) ).
fof(f49,axiom,
( doDivides0(xr,sdtasdt0(xn,xm))
& sdtlseqdt0(xr,xk) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2362) ).
fof(f185,plain,
sz00 != sz10,
inference(cnf_transformation,[],[f3]) ).
fof(f173,plain,
sdtlseqdt0(xr,xk),
inference(cnf_transformation,[],[f49]) ).
fof(f172,plain,
sz10 != xk,
inference(cnf_transformation,[],[f47]) ).
fof(f47,axiom,
( sz10 != xk
& sz00 != xk ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2327) ).
fof(f171,plain,
sz00 != xk,
inference(cnf_transformation,[],[f47]) ).
fof(f170,plain,
sdtlseqdt0(xm,xp),
inference(cnf_transformation,[],[f44]) ).
fof(f44,axiom,
( sdtlseqdt0(xm,xp)
& xm != xp
& sdtlseqdt0(xn,xp)
& xn != xp ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2287) ).
fof(f169,plain,
xm != xp,
inference(cnf_transformation,[],[f44]) ).
fof(f168,plain,
sdtlseqdt0(xn,xp),
inference(cnf_transformation,[],[f44]) ).
fof(f167,plain,
xn != xp,
inference(cnf_transformation,[],[f44]) ).
fof(f166,plain,
sdtlseqdt0(xk,xp),
inference(cnf_transformation,[],[f50]) ).
fof(f50,axiom,
( sdtlseqdt0(xk,xp)
& xp != xk ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2377) ).
fof(f165,plain,
xp != xk,
inference(cnf_transformation,[],[f50]) ).
fof(f153,plain,
~ sdtlseqdt0(xp,xn),
inference(cnf_transformation,[],[f42]) ).
fof(f42,axiom,
~ sdtlseqdt0(xp,xn),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1870) ).
fof(f152,plain,
~ sdtlseqdt0(xp,xm),
inference(cnf_transformation,[],[f43]) ).
fof(f43,axiom,
~ sdtlseqdt0(xp,xm),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2075) ).
fof(f255,plain,
~ sP0(sz10),
inference(equality_resolution,[],[f200]) ).
fof(f200,plain,
! [X0] :
( sz10 != X0
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f157,plain,
isPrime0(xp),
inference(cnf_transformation,[],[f41]) ).
fof(f252,plain,
! [X2,X0,X1] :
( X1 = X2
| sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0,X1,X2] :
( X1 = X2
| ( sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
& sdtpldt0(X0,X1) != sdtpldt0(X0,X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f126]) ).
fof(f126,plain,
! [X0,X1,X2] :
( X1 = X2
| ( sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
& sdtpldt0(X0,X1) != sdtpldt0(X0,X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtpldt0(X1,X0) = sdtpldt0(X2,X0)
| sdtpldt0(X0,X1) = sdtpldt0(X0,X2) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddCanc) ).
fof(f253,plain,
! [X2,X0,X1] :
( X1 = X2
| sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f251,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f124]) ).
fof(f124,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETran) ).
fof(f250,plain,
! [X2,X0,X1] :
( doDivides0(X0,X2)
| ~ doDivides0(X0,sdtpldt0(X1,X2))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0,X1,X2] :
( doDivides0(X0,X2)
| ~ doDivides0(X0,sdtpldt0(X1,X2))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f122]) ).
fof(f122,plain,
! [X0,X1,X2] :
( doDivides0(X0,X2)
| ~ doDivides0(X0,sdtpldt0(X1,X2))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X0,sdtpldt0(X1,X2))
& doDivides0(X0,X1) )
=> doDivides0(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDivMin) ).
fof(f249,plain,
! [X2,X0,X1] :
( doDivides0(X0,sdtpldt0(X1,X2))
| ~ doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0,X1,X2] :
( doDivides0(X0,sdtpldt0(X1,X2))
| ~ doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f120]) ).
fof(f120,plain,
! [X0,X1,X2] :
( doDivides0(X0,sdtpldt0(X1,X2))
| ~ doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X0,X2)
& doDivides0(X0,X1) )
=> doDivides0(X0,sdtpldt0(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDivSum) ).
fof(f248,plain,
! [X2,X0,X1] :
( doDivides0(X0,X2)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0,X1,X2] :
( doDivides0(X0,X2)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f118]) ).
fof(f118,plain,
! [X0,X1,X2] :
( doDivides0(X0,X2)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X1,X2)
& doDivides0(X0,X1) )
=> doDivides0(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDivTrans) ).
fof(f269,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
| X1 = X2
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption,[],[f151,f152,f153,f154,f155,f156,f158,f157,f161,f160,f159,f164,f163,f162,f166,f165,f170,f169,f168,f167,f172,f171,f174,f173,f176,f175,f178,f177,f179,f267,f181,f180,f182,f183,f185,f184,f186,f188,f187,f190,f189,f192,f191,f194,f196,f195,f198,f197,f205,f204,f203,f202,f201,f255,f256,f206,f209,f208,f207,f210,f211,f212,f213,f215,f266,f216,f258,f259,f260,f221,f220,f222,f223,f227,f226,f225,f224,f228,f261,f262,f263,f232,f233,f264,f235,f234,f265,f238,f237,f240,f241,f243,f242,f247,f246,f268,f245,f244]) ).
fof(f244,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0,X1,X2] :
( ( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X0,X1) != sdtasdt0(X0,X2) )
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f116]) ).
fof(f116,plain,
! [X0,X1,X2] :
( ( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X0,X1) != sdtasdt0(X0,X2) )
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X2)
& X1 != X2
& sz00 != X0 )
=> ( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X0,X1) != sdtasdt0(X0,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMonMul) ).
fof(f245,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f268,plain,
! [X2,X0,X1] :
( sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
| X1 = X2
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption,[],[f151,f152,f153,f154,f155,f156,f158,f157,f161,f160,f159,f164,f163,f162,f166,f165,f170,f169,f168,f167,f172,f171,f174,f173,f176,f175,f178,f177,f179,f267,f181,f180,f182,f183,f185,f184,f186,f188,f187,f190,f189,f192,f191,f194,f196,f195,f198,f197,f205,f204,f203,f202,f201,f255,f256,f206,f209,f208,f207,f210,f211,f212,f213,f215,f266,f216,f258,f259,f260,f221,f220,f222,f223,f227,f226,f225,f224,f228,f261,f262,f263,f232,f233,f264,f235,f234,f265,f238,f237,f240,f241,f243,f242,f247,f246]) ).
fof(f246,plain,
! [X2,X0,X1] :
( sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f247,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f242,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0,X1,X2] :
( ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f114]) ).
fof(f114,plain,
! [X0,X1,X2] :
( ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAMDistr) ).
fof(f243,plain,
! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f241,plain,
! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0,X1,X2] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f112]) ).
fof(f112,plain,
! [X0,X1,X2] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulAsso) ).
fof(f240,plain,
! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0,X1,X2] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f110]) ).
fof(f110,plain,
! [X0,X1,X2] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddAsso) ).
fof(f238,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| sdtpldt0(X0,sK5(X0,X1)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f150]) ).
fof(f265,plain,
! [X2,X0] :
( sdtlseqdt0(X0,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f239]) ).
fof(f239,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f150]) ).
fof(f235,plain,
! [X0,X1] :
( ~ doDivides0(X0,X1)
| sdtasdt0(X0,sK4(X0,X1)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f232,plain,
! [X0,X1] :
( ~ doDivides0(X0,X1)
| sz00 = X1
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sz00 = X1
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f102]) ).
fof(f102,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sz00 = X1
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sz00 != X1
& doDivides0(X0,X1) )
=> sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDivLE) ).
fof(f262,plain,
! [X0,X1] :
( sdtasdt0(X0,sdtsldt0(X1,X0)) = X1
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f230]) ).
fof(f230,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X2) = X1
| sdtsldt0(X1,X0) != X2
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f261,plain,
! [X2,X0] :
( sdtsldt0(sdtasdt0(X0,X2),X0) = X2
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X0,sdtasdt0(X0,X2))
| sz00 = X0
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f231]) ).
fof(f231,plain,
! [X2,X0,X1] :
( sdtsldt0(X1,X0) = X2
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f228,plain,
! [X2,X0,X1] :
( sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0,X1] :
( ! [X2] :
( sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0)
| ~ aNaturalNumber0(X2) )
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f98]) ).
fof(f98,plain,
! [X0,X1] :
( ! [X2] :
( sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0)
| ~ aNaturalNumber0(X2) )
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X0,X1)
& sz00 != X0 )
=> ! [X2] :
( aNaturalNumber0(X2)
=> sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDivAsso) ).
fof(f224,plain,
! [X2,X0,X1] :
( sdtpldt0(X2,X0) != sdtpldt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
& sdtpldt0(X1,X2) != sdtpldt0(X0,X2)
& sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
& sdtpldt0(X2,X0) != sdtpldt0(X2,X1) )
| ~ aNaturalNumber0(X2) )
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f96]) ).
fof(f96,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
& sdtpldt0(X1,X2) != sdtpldt0(X0,X2)
& sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
& sdtpldt0(X2,X0) != sdtpldt0(X2,X1) )
| ~ aNaturalNumber0(X2) )
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X0,X1)
& X0 != X1 )
=> ! [X2] :
( aNaturalNumber0(X2)
=> ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
& sdtpldt0(X1,X2) != sdtpldt0(X0,X2)
& sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
& sdtpldt0(X2,X0) != sdtpldt0(X2,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMonAdd) ).
fof(f225,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f226,plain,
! [X2,X0,X1] :
( sdtpldt0(X1,X2) != sdtpldt0(X0,X2)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f227,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f223,plain,
! [X0,X1] :
( iLess0(X0,X1)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0,X1] :
( iLess0(X0,X1)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f94]) ).
fof(f94,plain,
! [X0,X1] :
( iLess0(X0,X1)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X0,X1)
& X0 != X1 )
=> iLess0(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIH_03) ).
fof(f222,plain,
! [X0,X1] :
( sz00 = X1
| sz00 = X0
| sz00 != sdtasdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0,X1] :
( sz00 = X1
| sz00 = X0
| sz00 != sdtasdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f92]) ).
fof(f92,plain,
! [X0,X1] :
( sz00 = X1
| sz00 = X0
| sz00 != sdtasdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sz00 = sdtasdt0(X0,X1)
=> ( sz00 = X1
| sz00 = X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroMul) ).
fof(f259,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| sdtpldt0(X0,sdtmndt0(X1,X0)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f218]) ).
fof(f218,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,X2) = X1
| sdtmndt0(X1,X0) != X2
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f140]) ).
fof(f258,plain,
! [X2,X0] :
( sdtmndt0(sdtpldt0(X0,X2),X0) = X2
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X0,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f219]) ).
fof(f219,plain,
! [X2,X0,X1] :
( sdtmndt0(X1,X0) = X2
| sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f140]) ).
fof(f266,plain,
! [X1] :
( sdtlseqdt0(X1,X1)
| ~ aNaturalNumber0(X1) ),
inference(duplicate_literal_removal,[],[f257]) ).
fof(f257,plain,
! [X1] :
( sdtlseqdt0(X1,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X1) ),
inference(equality_resolution,[],[f214]) ).
fof(f214,plain,
! [X0,X1] :
( X0 != X1
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f195,plain,
! [X2,X0,X1] :
( X1 = X2
| sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0] :
( ! [X1,X2] :
( X1 = X2
| ( sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtasdt0(X0,X1) != sdtasdt0(X0,X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f70]) ).
fof(f70,plain,
! [X0] :
( ! [X1,X2] :
( X1 = X2
| ( sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtasdt0(X0,X1) != sdtasdt0(X0,X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sz00 != X0
=> ! [X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1) )
=> ( ( sdtasdt0(X1,X0) = sdtasdt0(X2,X0)
| sdtasdt0(X0,X1) = sdtasdt0(X0,X2) )
=> X1 = X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulCanc) ).
fof(f196,plain,
! [X2,X0,X1] :
( X1 = X2
| sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f182,plain,
! [X2,X0,X1] :
( doDivides0(X2,X1)
| doDivides0(X2,X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X2,sdtasdt0(X0,X1))
| ~ isPrime0(X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0,X1,X2] :
( doDivides0(X2,X1)
| doDivides0(X2,X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X2,sdtasdt0(X0,X1))
| ~ isPrime0(X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f62]) ).
fof(f62,plain,
! [X0,X1,X2] :
( doDivides0(X2,X1)
| doDivides0(X2,X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X2,sdtasdt0(X0,X1))
| ~ isPrime0(X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X2,sdtasdt0(X0,X1))
& isPrime0(X2) )
=> ( iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
=> ( doDivides0(X2,X1)
| doDivides0(X2,X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1799) ).
fof(f180,plain,
sz00 != xk,
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
( sz10 != xk
& sz00 != xk ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,axiom,
~ ( sz10 = xk
| sz00 = xk ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2315) ).
fof(f181,plain,
sz10 != xk,
inference(cnf_transformation,[],[f61]) ).
fof(f267,plain,
doDivides0(xr,xn),
inference(global_subsumption,[],[f151,f152,f153,f154,f155,f156,f158,f157,f161,f160,f159,f164,f163,f162,f166,f165,f170,f169,f168,f167,f172,f171,f174,f173,f176,f175,f178,f177,f179]) ).
fof(f179,plain,
( doDivides0(xr,xm)
| doDivides0(xr,xn) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,axiom,
( doDivides0(xr,xm)
| doDivides0(xr,xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2449) ).
fof(f177,plain,
sdtasdt0(xn,xm) = sdtasdt0(sdtasdt0(sdtsldt0(xn,xr),xm),xr),
inference(cnf_transformation,[],[f54]) ).
fof(f1378,plain,
( ~ doDivides0(sz00,sdtasdt0(sdtsldt0(sz00,xr),sz00))
| ~ spl6_5
| ~ spl6_7
| ~ spl6_9 ),
inference(superposition,[],[f1258,f1326]) ).
fof(f1258,plain,
( ~ doDivides0(xp,sdtasdt0(sdtsldt0(sz00,xr),sz00))
| ~ spl6_5
| ~ spl6_7 ),
inference(forward_demodulation,[],[f1213,f1053]) ).
fof(f1213,plain,
( ~ doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),sz00))
| ~ spl6_7 ),
inference(superposition,[],[f151,f1207]) ).
fof(f1441,plain,
( ~ spl6_5
| ~ spl6_7
| ~ spl6_9 ),
inference(avatar_contradiction_clause,[],[f1440]) ).
fof(f1440,plain,
( $false
| ~ spl6_5
| ~ spl6_7
| ~ spl6_9 ),
inference(global_subsumption,[],[f1377,f177,f179,f267,f181,f180,f182,f196,f195,f201,f266,f258,f259,f222,f223,f227,f226,f225,f224,f228,f261,f262,f263,f232,f233,f264,f235,f265,f238,f240,f241,f243,f242,f247,f246,f268,f245,f244,f269,f248,f249,f250,f251,f253,f252,f157,f159,f161,f162,f163,f164,f183,f184,f255,f256,f152,f153,f154,f160,f165,f166,f167,f168,f169,f170,f171,f172,f173,f185,f206,f158,f174,f175,f176,f186,f151,f197,f198,f155,f270,f274,f275,f271,f187,f280,f281,f282,f283,f278,f279,f188,f286,f287,f288,f289,f285,f189,f292,f293,f294,f295,f290,f190,f298,f299,f300,f301,f291,f297,f191,f304,f305,f306,f307,f192,f309,f310,f311,f312,f313,f303,f210,f314,f315,f316,f317,f211,f332,f333,f334,f335,f336,f337,f215,f156,f366,f368,f178,f382,f369,f194,f202,f409,f410,f411,f412,f413,f414,f207,f415,f416,f417,f418,f419,f420,f209,f212,f423,f424,f430,f431,f426,f434,f435,f441,f442,f433,f213,f447,f448,f454,f455,f438,f439,f440,f427,f461,f462,f468,f469,f460,f466,f467,f428,f476,f477,f483,f484,f475,f482,f429,f490,f491,f497,f498,f234,f500,f501,f502,f503,f504,f505,f506,f507,f508,f509,f510,f511,f489,f450,f515,f516,f522,f523,f524,f519,f520,f521,f451,f532,f533,f539,f540,f541,f537,f538,f452,f548,f549,f555,f556,f557,f554,f453,f563,f564,f570,f571,f572,f237,f575,f576,f577,f578,f579,f580,f581,f582,f583,f584,f585,f586,f587,f588,f589,f590,f421,f593,f594,f600,f601,f602,f603,f422,f612,f613,f619,f620,f621,f622,f445,f626,f627,f633,f634,f635,f636,f446,f645,f646,f652,f653,f654,f655,f260,f662,f663,f664,f665,f666,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f678,f679,f680,f681,f318,f684,f685,f687,f692,f693,f694,f695,f688,f698,f699,f701,f706,f707,f708,f709,f702,f703,f704,f705,f203,f711,f689,f719,f720,f722,f727,f728,f729,f730,f724,f725,f726,f732,f690,f740,f741,f743,f748,f749,f750,f751,f746,f747,f753,f691,f761,f762,f764,f769,f770,f771,f772,f204,f768,f774,f682,f782,f783,f785,f790,f791,f792,f793,f683,f803,f804,f806,f811,f812,f813,f814,f802,f319,f824,f825,f827,f832,f833,f834,f835,f205,f828,f838,f839,f841,f846,f847,f848,f849,f842,f843,f844,f845,f851,f829,f859,f860,f862,f867,f868,f869,f870,f864,f865,f866,f872,f208,f830,f880,f881,f883,f888,f889,f890,f891,f886,f887,f893,f831,f901,f902,f904,f909,f910,f911,f912,f908,f914,f822,f922,f923,f925,f930,f931,f932,f933,f823,f943,f944,f946,f951,f952,f953,f954,f942,f216,f1033,f1035,f1037,f1041,f1043,f1047,f1049,f1031,f220,f1184,f1186,f1188,f1199,f1201,f1203,f1039,f1207,f221,f1045,f1326,f1380,f1381,f1384,f1388,f1339,f1396,f1400,f1351,f1406]) ).
fof(f1377,plain,
( doDivides0(sz00,sz00)
| ~ spl6_5
| ~ spl6_9 ),
inference(superposition,[],[f1108,f1326]) ).
fof(f1439,plain,
( ~ spl6_5
| ~ spl6_7
| ~ spl6_9 ),
inference(avatar_contradiction_clause,[],[f1438]) ).
fof(f1438,plain,
( $false
| ~ spl6_5
| ~ spl6_7
| ~ spl6_9 ),
inference(global_subsumption,[],[f1376,f177,f179,f267,f181,f180,f182,f196,f195,f201,f266,f258,f259,f222,f223,f227,f226,f225,f224,f228,f261,f262,f263,f232,f233,f264,f235,f265,f238,f240,f241,f243,f242,f247,f246,f268,f245,f244,f269,f248,f249,f250,f251,f253,f252,f157,f159,f161,f162,f163,f164,f183,f184,f255,f256,f152,f153,f154,f160,f165,f166,f167,f168,f169,f170,f171,f172,f173,f185,f206,f158,f174,f175,f176,f186,f151,f197,f198,f155,f270,f274,f275,f271,f187,f280,f281,f282,f283,f278,f279,f188,f286,f287,f288,f289,f285,f189,f292,f293,f294,f295,f290,f190,f298,f299,f300,f301,f291,f297,f191,f304,f305,f306,f307,f192,f309,f310,f311,f312,f313,f303,f210,f314,f315,f316,f317,f211,f332,f333,f334,f335,f336,f337,f215,f156,f366,f368,f178,f382,f369,f194,f202,f409,f410,f411,f412,f413,f414,f207,f415,f416,f417,f418,f419,f420,f209,f212,f423,f424,f430,f431,f426,f434,f435,f441,f442,f433,f213,f447,f448,f454,f455,f438,f439,f440,f427,f461,f462,f468,f469,f460,f466,f467,f428,f476,f477,f483,f484,f475,f482,f429,f490,f491,f497,f498,f234,f500,f501,f502,f503,f504,f505,f506,f507,f508,f509,f510,f511,f489,f450,f515,f516,f522,f523,f524,f519,f520,f521,f451,f532,f533,f539,f540,f541,f537,f538,f452,f548,f549,f555,f556,f557,f554,f453,f563,f564,f570,f571,f572,f237,f575,f576,f577,f578,f579,f580,f581,f582,f583,f584,f585,f586,f587,f588,f589,f590,f421,f593,f594,f600,f601,f602,f603,f422,f612,f613,f619,f620,f621,f622,f445,f626,f627,f633,f634,f635,f636,f446,f645,f646,f652,f653,f654,f655,f260,f662,f663,f664,f665,f666,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f678,f679,f680,f681,f318,f684,f685,f687,f692,f693,f694,f695,f688,f698,f699,f701,f706,f707,f708,f709,f702,f703,f704,f705,f203,f711,f689,f719,f720,f722,f727,f728,f729,f730,f724,f725,f726,f732,f690,f740,f741,f743,f748,f749,f750,f751,f746,f747,f753,f691,f761,f762,f764,f769,f770,f771,f772,f204,f768,f774,f682,f782,f783,f785,f790,f791,f792,f793,f683,f803,f804,f806,f811,f812,f813,f814,f802,f319,f824,f825,f827,f832,f833,f834,f835,f205,f828,f838,f839,f841,f846,f847,f848,f849,f842,f843,f844,f845,f851,f829,f859,f860,f862,f867,f868,f869,f870,f864,f865,f866,f872,f208,f830,f880,f881,f883,f888,f889,f890,f891,f886,f887,f893,f831,f901,f902,f904,f909,f910,f911,f912,f908,f914,f822,f922,f923,f925,f930,f931,f932,f933,f823,f943,f944,f946,f951,f952,f953,f954,f942,f216,f1033,f1035,f1037,f1041,f1043,f1047,f1049,f1031,f220,f1184,f1186,f1188,f1199,f1201,f1203,f1039,f1207,f221,f1045,f1326,f1380,f1381,f1384,f1388,f1339,f1396,f1400,f1351,f1406]) ).
fof(f1376,plain,
( xk = sdtsldt0(sz00,sz00)
| ~ spl6_5
| ~ spl6_9 ),
inference(superposition,[],[f1107,f1326]) ).
fof(f1437,plain,
( ~ spl6_5
| ~ spl6_7
| ~ spl6_9 ),
inference(avatar_contradiction_clause,[],[f1436]) ).
fof(f1436,plain,
( $false
| ~ spl6_5
| ~ spl6_7
| ~ spl6_9 ),
inference(global_subsumption,[],[f1375,f177,f179,f267,f181,f180,f182,f196,f195,f201,f266,f258,f259,f222,f223,f227,f226,f225,f224,f228,f261,f262,f263,f232,f233,f264,f235,f265,f238,f240,f241,f243,f242,f247,f246,f268,f245,f244,f269,f248,f249,f250,f251,f253,f252,f157,f159,f161,f162,f163,f164,f183,f184,f255,f256,f152,f153,f154,f160,f165,f166,f167,f168,f169,f170,f171,f172,f173,f185,f206,f158,f174,f175,f176,f186,f151,f197,f198,f155,f270,f274,f275,f271,f187,f280,f281,f282,f283,f278,f279,f188,f286,f287,f288,f289,f285,f189,f292,f293,f294,f295,f290,f190,f298,f299,f300,f301,f291,f297,f191,f304,f305,f306,f307,f192,f309,f310,f311,f312,f313,f303,f210,f314,f315,f316,f317,f211,f332,f333,f334,f335,f336,f337,f215,f156,f366,f368,f178,f382,f369,f194,f202,f409,f410,f411,f412,f413,f414,f207,f415,f416,f417,f418,f419,f420,f209,f212,f423,f424,f430,f431,f426,f434,f435,f441,f442,f433,f213,f447,f448,f454,f455,f438,f439,f440,f427,f461,f462,f468,f469,f460,f466,f467,f428,f476,f477,f483,f484,f475,f482,f429,f490,f491,f497,f498,f234,f500,f501,f502,f503,f504,f505,f506,f507,f508,f509,f510,f511,f489,f450,f515,f516,f522,f523,f524,f519,f520,f521,f451,f532,f533,f539,f540,f541,f537,f538,f452,f548,f549,f555,f556,f557,f554,f453,f563,f564,f570,f571,f572,f237,f575,f576,f577,f578,f579,f580,f581,f582,f583,f584,f585,f586,f587,f588,f589,f590,f421,f593,f594,f600,f601,f602,f603,f422,f612,f613,f619,f620,f621,f622,f445,f626,f627,f633,f634,f635,f636,f446,f645,f646,f652,f653,f654,f655,f260,f662,f663,f664,f665,f666,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f678,f679,f680,f681,f318,f684,f685,f687,f692,f693,f694,f695,f688,f698,f699,f701,f706,f707,f708,f709,f702,f703,f704,f705,f203,f711,f689,f719,f720,f722,f727,f728,f729,f730,f724,f725,f726,f732,f690,f740,f741,f743,f748,f749,f750,f751,f746,f747,f753,f691,f761,f762,f764,f769,f770,f771,f772,f204,f768,f774,f682,f782,f783,f785,f790,f791,f792,f793,f683,f803,f804,f806,f811,f812,f813,f814,f802,f319,f824,f825,f827,f832,f833,f834,f835,f205,f828,f838,f839,f841,f846,f847,f848,f849,f842,f843,f844,f845,f851,f829,f859,f860,f862,f867,f868,f869,f870,f864,f865,f866,f872,f208,f830,f880,f881,f883,f888,f889,f890,f891,f886,f887,f893,f831,f901,f902,f904,f909,f910,f911,f912,f908,f914,f822,f922,f923,f925,f930,f931,f932,f933,f823,f943,f944,f946,f951,f952,f953,f954,f942,f216,f1033,f1035,f1037,f1041,f1043,f1047,f1049,f1031,f220,f1184,f1186,f1188,f1199,f1201,f1203,f1039,f1207,f221,f1045,f1326,f1380,f1381,f1384,f1388,f1339,f1396,f1400,f1351,f1406]) ).
fof(f1375,plain,
( sdtlseqdt0(sz00,sz00)
| ~ spl6_5
| ~ spl6_9 ),
inference(superposition,[],[f1066,f1326]) ).
fof(f1066,plain,
( sdtlseqdt0(sz00,xp)
| ~ spl6_5 ),
inference(superposition,[],[f168,f1053]) ).
fof(f1435,plain,
( ~ spl6_5
| ~ spl6_7
| ~ spl6_9 ),
inference(avatar_contradiction_clause,[],[f1434]) ).
fof(f1434,plain,
( $false
| ~ spl6_5
| ~ spl6_7
| ~ spl6_9 ),
inference(global_subsumption,[],[f1374,f177,f179,f267,f181,f180,f182,f196,f195,f201,f266,f258,f259,f222,f223,f227,f226,f225,f224,f228,f261,f262,f263,f232,f233,f264,f235,f265,f238,f240,f241,f243,f242,f247,f246,f268,f245,f244,f269,f248,f249,f250,f251,f253,f252,f157,f159,f161,f162,f163,f164,f183,f184,f255,f256,f152,f153,f154,f160,f165,f166,f167,f168,f169,f170,f171,f172,f173,f185,f206,f158,f174,f175,f176,f186,f151,f197,f198,f155,f270,f274,f275,f271,f187,f280,f281,f282,f283,f278,f279,f188,f286,f287,f288,f289,f285,f189,f292,f293,f294,f295,f290,f190,f298,f299,f300,f301,f291,f297,f191,f304,f305,f306,f307,f192,f309,f310,f311,f312,f313,f303,f210,f314,f315,f316,f317,f211,f332,f333,f334,f335,f336,f337,f215,f156,f366,f368,f178,f382,f369,f194,f202,f409,f410,f411,f412,f413,f414,f207,f415,f416,f417,f418,f419,f420,f209,f212,f423,f424,f430,f431,f426,f434,f435,f441,f442,f433,f213,f447,f448,f454,f455,f438,f439,f440,f427,f461,f462,f468,f469,f460,f466,f467,f428,f476,f477,f483,f484,f475,f482,f429,f490,f491,f497,f498,f234,f500,f501,f502,f503,f504,f505,f506,f507,f508,f509,f510,f511,f489,f450,f515,f516,f522,f523,f524,f519,f520,f521,f451,f532,f533,f539,f540,f541,f537,f538,f452,f548,f549,f555,f556,f557,f554,f453,f563,f564,f570,f571,f572,f237,f575,f576,f577,f578,f579,f580,f581,f582,f583,f584,f585,f586,f587,f588,f589,f590,f421,f593,f594,f600,f601,f602,f603,f422,f612,f613,f619,f620,f621,f622,f445,f626,f627,f633,f634,f635,f636,f446,f645,f646,f652,f653,f654,f655,f260,f662,f663,f664,f665,f666,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f678,f679,f680,f681,f318,f684,f685,f687,f692,f693,f694,f695,f688,f698,f699,f701,f706,f707,f708,f709,f702,f703,f704,f705,f203,f711,f689,f719,f720,f722,f727,f728,f729,f730,f724,f725,f726,f732,f690,f740,f741,f743,f748,f749,f750,f751,f746,f747,f753,f691,f761,f762,f764,f769,f770,f771,f772,f204,f768,f774,f682,f782,f783,f785,f790,f791,f792,f793,f683,f803,f804,f806,f811,f812,f813,f814,f802,f319,f824,f825,f827,f832,f833,f834,f835,f205,f828,f838,f839,f841,f846,f847,f848,f849,f842,f843,f844,f845,f851,f829,f859,f860,f862,f867,f868,f869,f870,f864,f865,f866,f872,f208,f830,f880,f881,f883,f888,f889,f890,f891,f886,f887,f893,f831,f901,f902,f904,f909,f910,f911,f912,f908,f914,f822,f922,f923,f925,f930,f931,f932,f933,f823,f943,f944,f946,f951,f952,f953,f954,f942,f216,f1033,f1035,f1037,f1041,f1043,f1047,f1049,f1031,f220,f1184,f1186,f1188,f1199,f1201,f1203,f1039,f1207,f221,f1045,f1326,f1380,f1381,f1384,f1388,f1339,f1396,f1400,f1351,f1406]) ).
fof(f1374,plain,
( ~ sdtlseqdt0(sz00,sz00)
| ~ spl6_5
| ~ spl6_9 ),
inference(superposition,[],[f1060,f1326]) ).
fof(f1060,plain,
( ~ sdtlseqdt0(xp,sz00)
| ~ spl6_5 ),
inference(superposition,[],[f153,f1053]) ).
fof(f1433,plain,
( ~ spl6_5
| ~ spl6_7
| ~ spl6_9 ),
inference(avatar_contradiction_clause,[],[f1432]) ).
fof(f1432,plain,
( $false
| ~ spl6_5
| ~ spl6_7
| ~ spl6_9 ),
inference(global_subsumption,[],[f1431,f177,f179,f267,f181,f180,f182,f196,f195,f201,f266,f258,f259,f222,f223,f227,f226,f225,f224,f228,f261,f262,f263,f232,f233,f264,f235,f265,f238,f240,f241,f243,f242,f247,f246,f268,f245,f244,f269,f248,f249,f250,f251,f253,f252,f157,f159,f161,f162,f163,f164,f183,f184,f255,f256,f152,f153,f154,f160,f165,f166,f167,f168,f169,f170,f171,f172,f173,f185,f206,f158,f174,f175,f176,f186,f151,f197,f198,f155,f270,f274,f275,f271,f187,f280,f281,f282,f283,f278,f279,f188,f286,f287,f288,f289,f285,f189,f292,f293,f294,f295,f290,f190,f298,f299,f300,f301,f291,f297,f191,f304,f305,f306,f307,f192,f309,f310,f311,f312,f313,f303,f210,f314,f315,f316,f317,f211,f332,f333,f334,f335,f336,f337,f215,f156,f366,f368,f178,f382,f369,f194,f202,f409,f410,f411,f412,f413,f414,f207,f415,f416,f417,f418,f419,f420,f209,f212,f423,f424,f430,f431,f426,f434,f435,f441,f442,f433,f213,f447,f448,f454,f455,f438,f439,f440,f427,f461,f462,f468,f469,f460,f466,f467,f428,f476,f477,f483,f484,f475,f482,f429,f490,f491,f497,f498,f234,f500,f501,f502,f503,f504,f505,f506,f507,f508,f509,f510,f511,f489,f450,f515,f516,f522,f523,f524,f519,f520,f521,f451,f532,f533,f539,f540,f541,f537,f538,f452,f548,f549,f555,f556,f557,f554,f453,f563,f564,f570,f571,f572,f237,f575,f576,f577,f578,f579,f580,f581,f582,f583,f584,f585,f586,f587,f588,f589,f590,f421,f593,f594,f600,f601,f602,f603,f422,f612,f613,f619,f620,f621,f622,f445,f626,f627,f633,f634,f635,f636,f446,f645,f646,f652,f653,f654,f655,f260,f662,f663,f664,f665,f666,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f678,f679,f680,f681,f318,f684,f685,f687,f692,f693,f694,f695,f688,f698,f699,f701,f706,f707,f708,f709,f702,f703,f704,f705,f203,f711,f689,f719,f720,f722,f727,f728,f729,f730,f724,f725,f726,f732,f690,f740,f741,f743,f748,f749,f750,f751,f746,f747,f753,f691,f761,f762,f764,f769,f770,f771,f772,f204,f768,f774,f682,f782,f783,f785,f790,f791,f792,f793,f683,f803,f804,f806,f811,f812,f813,f814,f802,f319,f824,f825,f827,f832,f833,f834,f835,f205,f828,f838,f839,f841,f846,f847,f848,f849,f842,f843,f844,f845,f851,f829,f859,f860,f862,f867,f868,f869,f870,f864,f865,f866,f872,f208,f830,f880,f881,f883,f888,f889,f890,f891,f886,f887,f893,f831,f901,f902,f904,f909,f910,f911,f912,f908,f914,f822,f922,f923,f925,f930,f931,f932,f933,f823,f943,f944,f946,f951,f952,f953,f954,f942,f216,f1033,f1035,f1037,f1041,f1043,f1047,f1049,f1031,f220,f1184,f1186,f1188,f1199,f1201,f1203,f1039,f1207,f221,f1045,f1326,f1380,f1381,f1384,f1388,f1339,f1396,f1400,f1351,f1406]) ).
fof(f1431,plain,
( ~ doDivides0(sz00,sdtasdt0(sdtsldt0(sz00,xr),sz00))
| ~ spl6_5
| ~ spl6_7
| ~ spl6_9 ),
inference(forward_demodulation,[],[f1373,f1207]) ).
fof(f1373,plain,
( ~ doDivides0(sz00,sdtasdt0(sdtsldt0(sz00,xr),xm))
| ~ spl6_5
| ~ spl6_9 ),
inference(superposition,[],[f1059,f1326]) ).
fof(f1059,plain,
( ~ doDivides0(xp,sdtasdt0(sdtsldt0(sz00,xr),xm))
| ~ spl6_5 ),
inference(superposition,[],[f151,f1053]) ).
fof(f1412,plain,
( spl6_3
| ~ spl6_7
| ~ spl6_9 ),
inference(avatar_contradiction_clause,[],[f1411]) ).
fof(f1411,plain,
( $false
| spl6_3
| ~ spl6_7
| ~ spl6_9 ),
inference(global_subsumption,[],[f1354,f177,f179,f267,f181,f180,f182,f196,f195,f201,f266,f258,f259,f222,f223,f227,f226,f225,f224,f228,f261,f262,f263,f232,f233,f264,f235,f265,f238,f240,f241,f243,f242,f247,f246,f268,f245,f244,f269,f248,f249,f250,f251,f253,f252,f157,f159,f161,f162,f163,f164,f183,f184,f255,f256,f152,f153,f154,f160,f165,f166,f167,f168,f169,f170,f171,f172,f173,f185,f206,f158,f174,f175,f176,f186,f151,f197,f198,f155,f270,f274,f275,f271,f187,f280,f281,f282,f283,f278,f279,f188,f286,f287,f288,f289,f285,f189,f292,f293,f294,f295,f290,f190,f298,f299,f300,f301,f291,f297,f191,f304,f305,f306,f307,f192,f309,f310,f311,f312,f313,f303,f210,f314,f315,f316,f317,f211,f332,f333,f334,f335,f336,f337,f215,f156,f366,f368,f178,f382,f369,f194,f202,f409,f410,f411,f412,f413,f414,f207,f415,f416,f417,f418,f419,f420,f209,f212,f423,f424,f430,f431,f426,f434,f435,f441,f442,f433,f213,f447,f448,f454,f455,f438,f439,f440,f427,f461,f462,f468,f469,f460,f466,f467,f428,f476,f477,f483,f484,f475,f482,f429,f490,f491,f497,f498,f234,f500,f501,f502,f503,f504,f505,f506,f507,f508,f509,f510,f511,f489,f450,f515,f516,f522,f523,f524,f519,f520,f521,f451,f532,f533,f539,f540,f541,f537,f538,f452,f548,f549,f555,f556,f557,f554,f453,f563,f564,f570,f571,f572,f237,f575,f576,f577,f578,f579,f580,f581,f582,f583,f584,f585,f586,f587,f588,f589,f590,f421,f593,f594,f600,f601,f602,f603,f422,f612,f613,f619,f620,f621,f622,f445,f626,f627,f633,f634,f635,f636,f446,f645,f646,f652,f653,f654,f655,f260,f662,f663,f664,f665,f666,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f678,f679,f680,f681,f318,f684,f685,f687,f692,f693,f694,f695,f688,f698,f699,f701,f706,f707,f708,f709,f702,f703,f704,f705,f203,f711,f689,f719,f720,f722,f727,f728,f729,f730,f724,f725,f726,f732,f690,f740,f741,f743,f748,f749,f750,f751,f746,f747,f753,f691,f761,f762,f764,f769,f770,f771,f772,f204,f768,f774,f682,f782,f783,f785,f790,f791,f792,f793,f683,f803,f804,f806,f811,f812,f813,f814,f802,f319,f824,f825,f827,f832,f833,f834,f835,f205,f828,f838,f839,f841,f846,f847,f848,f849,f842,f843,f844,f845,f851,f829,f859,f860,f862,f867,f868,f869,f870,f864,f865,f866,f872,f208,f830,f880,f881,f883,f888,f889,f890,f891,f886,f887,f893,f831,f901,f902,f904,f909,f910,f911,f912,f908,f914,f822,f922,f923,f925,f930,f931,f932,f933,f823,f943,f944,f946,f951,f952,f953,f954,f942,f216,f1033,f1035,f1037,f1041,f1043,f1047,f1049,f1031,f220,f1184,f1186,f1188,f1199,f1201,f1203,f1039,f1207,f221,f1045,f1326,f1380,f1381,f1384,f1388,f1339,f1396,f1400,f1351,f1406]) ).
fof(f1354,plain,
( ~ aNaturalNumber0(sdtsldt0(sdtasdt0(sz00,xk),xr))
| spl6_3
| ~ spl6_9 ),
inference(superposition,[],[f386,f1326]) ).
fof(f386,plain,
( ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xp,xk),xr))
| spl6_3 ),
inference(avatar_component_clause,[],[f384]) ).
fof(f384,plain,
( spl6_3
<=> aNaturalNumber0(sdtsldt0(sdtasdt0(xp,xk),xr)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_3])]) ).
fof(f1410,plain,
( spl6_2
| ~ spl6_7
| ~ spl6_9 ),
inference(avatar_contradiction_clause,[],[f1409]) ).
fof(f1409,plain,
( $false
| spl6_2
| ~ spl6_7
| ~ spl6_9 ),
inference(global_subsumption,[],[f1353,f177,f179,f267,f181,f180,f182,f196,f195,f201,f266,f258,f259,f222,f223,f227,f226,f225,f224,f228,f261,f262,f263,f232,f233,f264,f235,f265,f238,f240,f241,f243,f242,f247,f246,f268,f245,f244,f269,f248,f249,f250,f251,f253,f252,f157,f159,f161,f162,f163,f164,f183,f184,f255,f256,f152,f153,f154,f160,f165,f166,f167,f168,f169,f170,f171,f172,f173,f185,f206,f158,f174,f175,f176,f186,f151,f197,f198,f155,f270,f274,f275,f271,f187,f280,f281,f282,f283,f278,f279,f188,f286,f287,f288,f289,f285,f189,f292,f293,f294,f295,f290,f190,f298,f299,f300,f301,f291,f297,f191,f304,f305,f306,f307,f192,f309,f310,f311,f312,f313,f303,f210,f314,f315,f316,f317,f211,f332,f333,f334,f335,f336,f337,f215,f156,f366,f368,f178,f382,f369,f194,f202,f409,f410,f411,f412,f413,f414,f207,f415,f416,f417,f418,f419,f420,f209,f212,f423,f424,f430,f431,f426,f434,f435,f441,f442,f433,f213,f447,f448,f454,f455,f438,f439,f440,f427,f461,f462,f468,f469,f460,f466,f467,f428,f476,f477,f483,f484,f475,f482,f429,f490,f491,f497,f498,f234,f500,f501,f502,f503,f504,f505,f506,f507,f508,f509,f510,f511,f489,f450,f515,f516,f522,f523,f524,f519,f520,f521,f451,f532,f533,f539,f540,f541,f537,f538,f452,f548,f549,f555,f556,f557,f554,f453,f563,f564,f570,f571,f572,f237,f575,f576,f577,f578,f579,f580,f581,f582,f583,f584,f585,f586,f587,f588,f589,f590,f421,f593,f594,f600,f601,f602,f603,f422,f612,f613,f619,f620,f621,f622,f445,f626,f627,f633,f634,f635,f636,f446,f645,f646,f652,f653,f654,f655,f260,f662,f663,f664,f665,f666,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f678,f679,f680,f681,f318,f684,f685,f687,f692,f693,f694,f695,f688,f698,f699,f701,f706,f707,f708,f709,f702,f703,f704,f705,f203,f711,f689,f719,f720,f722,f727,f728,f729,f730,f724,f725,f726,f732,f690,f740,f741,f743,f748,f749,f750,f751,f746,f747,f753,f691,f761,f762,f764,f769,f770,f771,f772,f204,f768,f774,f682,f782,f783,f785,f790,f791,f792,f793,f683,f803,f804,f806,f811,f812,f813,f814,f802,f319,f824,f825,f827,f832,f833,f834,f835,f205,f828,f838,f839,f841,f846,f847,f848,f849,f842,f843,f844,f845,f851,f829,f859,f860,f862,f867,f868,f869,f870,f864,f865,f866,f872,f208,f830,f880,f881,f883,f888,f889,f890,f891,f886,f887,f893,f831,f901,f902,f904,f909,f910,f911,f912,f908,f914,f822,f922,f923,f925,f930,f931,f932,f933,f823,f943,f944,f946,f951,f952,f953,f954,f942,f216,f1033,f1035,f1037,f1041,f1043,f1047,f1049,f1031,f220,f1184,f1186,f1188,f1199,f1201,f1203,f1039,f1207,f221,f1045,f1326,f1380,f1381,f1384,f1388,f1339,f1396,f1400,f1351,f1406]) ).
fof(f1353,plain,
( ~ aNaturalNumber0(sdtasdt0(sz00,sdtsldt0(xk,xr)))
| spl6_2
| ~ spl6_9 ),
inference(superposition,[],[f376,f1326]) ).
fof(f376,plain,
( ~ aNaturalNumber0(sdtasdt0(xp,sdtsldt0(xk,xr)))
| spl6_2 ),
inference(avatar_component_clause,[],[f375]) ).
fof(f375,plain,
( spl6_2
<=> aNaturalNumber0(sdtasdt0(xp,sdtsldt0(xk,xr))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).
fof(f1408,plain,
( ~ spl6_7
| ~ spl6_9 ),
inference(avatar_contradiction_clause,[],[f1407]) ).
fof(f1407,plain,
( $false
| ~ spl6_7
| ~ spl6_9 ),
inference(global_subsumption,[],[f177,f179,f267,f181,f180,f182,f196,f195,f201,f266,f258,f259,f222,f223,f227,f226,f225,f224,f228,f261,f262,f263,f232,f233,f264,f235,f265,f238,f240,f241,f243,f242,f247,f246,f268,f245,f244,f269,f248,f249,f250,f251,f253,f252,f157,f159,f161,f162,f163,f164,f183,f184,f255,f256,f152,f153,f154,f160,f165,f166,f167,f168,f169,f170,f171,f172,f173,f185,f206,f158,f174,f175,f176,f186,f151,f197,f198,f155,f270,f274,f275,f271,f187,f280,f281,f282,f283,f278,f279,f188,f286,f287,f288,f289,f285,f189,f292,f293,f294,f295,f290,f190,f298,f299,f300,f301,f291,f297,f191,f304,f305,f306,f307,f192,f309,f310,f311,f312,f313,f303,f210,f314,f315,f316,f317,f211,f332,f333,f334,f335,f336,f337,f215,f156,f366,f368,f178,f382,f369,f194,f202,f409,f410,f411,f412,f413,f414,f207,f415,f416,f417,f418,f419,f420,f209,f212,f423,f424,f430,f431,f426,f434,f435,f441,f442,f433,f213,f447,f448,f454,f455,f438,f439,f440,f427,f461,f462,f468,f469,f460,f466,f467,f428,f476,f477,f483,f484,f475,f482,f429,f490,f491,f497,f498,f234,f500,f501,f502,f503,f504,f505,f506,f507,f508,f509,f510,f511,f489,f450,f515,f516,f522,f523,f524,f519,f520,f521,f451,f532,f533,f539,f540,f541,f537,f538,f452,f548,f549,f555,f556,f557,f554,f453,f563,f564,f570,f571,f572,f237,f575,f576,f577,f578,f579,f580,f581,f582,f583,f584,f585,f586,f587,f588,f589,f590,f421,f593,f594,f600,f601,f602,f603,f422,f612,f613,f619,f620,f621,f622,f445,f626,f627,f633,f634,f635,f636,f446,f645,f646,f652,f653,f654,f655,f260,f662,f663,f664,f665,f666,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f678,f679,f680,f681,f318,f684,f685,f687,f692,f693,f694,f695,f688,f698,f699,f701,f706,f707,f708,f709,f702,f703,f704,f705,f203,f711,f689,f719,f720,f722,f727,f728,f729,f730,f724,f725,f726,f732,f690,f740,f741,f743,f748,f749,f750,f751,f746,f747,f753,f691,f761,f762,f764,f769,f770,f771,f772,f204,f768,f774,f682,f782,f783,f785,f790,f791,f792,f793,f683,f803,f804,f806,f811,f812,f813,f814,f802,f319,f824,f825,f827,f832,f833,f834,f835,f205,f828,f838,f839,f841,f846,f847,f848,f849,f842,f843,f844,f845,f851,f829,f859,f860,f862,f867,f868,f869,f870,f864,f865,f866,f872,f208,f830,f880,f881,f883,f888,f889,f890,f891,f886,f887,f893,f831,f901,f902,f904,f909,f910,f911,f912,f908,f914,f822,f922,f923,f925,f930,f931,f932,f933,f823,f943,f944,f946,f951,f952,f953,f954,f942,f216,f1033,f1035,f1037,f1041,f1043,f1047,f1049,f1031,f220,f1184,f1186,f1188,f1199,f1201,f1203,f1039,f1207,f221,f1045,f1326,f1380,f1381,f1384,f1388,f1339,f1396,f1400,f1351,f1406]) ).
fof(f1404,plain,
( ~ spl6_7
| ~ spl6_9 ),
inference(avatar_contradiction_clause,[],[f1403]) ).
fof(f1403,plain,
( $false
| ~ spl6_7
| ~ spl6_9 ),
inference(global_subsumption,[],[f177,f179,f267,f181,f180,f182,f196,f195,f201,f266,f258,f259,f222,f223,f227,f226,f225,f224,f228,f261,f262,f263,f232,f233,f264,f235,f265,f238,f240,f241,f243,f242,f247,f246,f268,f245,f244,f269,f248,f249,f250,f251,f253,f252,f157,f159,f161,f162,f163,f164,f183,f184,f255,f256,f152,f153,f154,f160,f165,f166,f167,f168,f169,f170,f171,f172,f173,f185,f206,f158,f174,f175,f176,f186,f151,f197,f198,f155,f270,f274,f275,f271,f187,f280,f281,f282,f283,f278,f279,f188,f286,f287,f288,f289,f285,f189,f292,f293,f294,f295,f290,f190,f298,f299,f300,f301,f291,f297,f191,f304,f305,f306,f307,f192,f309,f310,f311,f312,f313,f303,f210,f314,f315,f316,f317,f211,f332,f333,f334,f335,f336,f337,f215,f156,f366,f368,f178,f382,f369,f194,f202,f409,f410,f411,f412,f413,f414,f207,f415,f416,f417,f418,f419,f420,f209,f212,f423,f424,f430,f431,f426,f434,f435,f441,f442,f433,f213,f447,f448,f454,f455,f438,f439,f440,f427,f461,f462,f468,f469,f460,f466,f467,f428,f476,f477,f483,f484,f475,f482,f429,f490,f491,f497,f498,f234,f500,f501,f502,f503,f504,f505,f506,f507,f508,f509,f510,f511,f489,f450,f515,f516,f522,f523,f524,f519,f520,f521,f451,f532,f533,f539,f540,f541,f537,f538,f452,f548,f549,f555,f556,f557,f554,f453,f563,f564,f570,f571,f572,f237,f575,f576,f577,f578,f579,f580,f581,f582,f583,f584,f585,f586,f587,f588,f589,f590,f421,f593,f594,f600,f601,f602,f603,f422,f612,f613,f619,f620,f621,f622,f445,f626,f627,f633,f634,f635,f636,f446,f645,f646,f652,f653,f654,f655,f260,f662,f663,f664,f665,f666,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f678,f679,f680,f681,f318,f684,f685,f687,f692,f693,f694,f695,f688,f698,f699,f701,f706,f707,f708,f709,f702,f703,f704,f705,f203,f711,f689,f719,f720,f722,f727,f728,f729,f730,f724,f725,f726,f732,f690,f740,f741,f743,f748,f749,f750,f751,f746,f747,f753,f691,f761,f762,f764,f769,f770,f771,f772,f204,f768,f774,f682,f782,f783,f785,f790,f791,f792,f793,f683,f803,f804,f806,f811,f812,f813,f814,f802,f319,f824,f825,f827,f832,f833,f834,f835,f205,f828,f838,f839,f841,f846,f847,f848,f849,f842,f843,f844,f845,f851,f829,f859,f860,f862,f867,f868,f869,f870,f864,f865,f866,f872,f208,f830,f880,f881,f883,f888,f889,f890,f891,f886,f887,f893,f831,f901,f902,f904,f909,f910,f911,f912,f908,f914,f822,f922,f923,f925,f930,f931,f932,f933,f823,f943,f944,f946,f951,f952,f953,f954,f942,f216,f1033,f1035,f1037,f1041,f1043,f1047,f1049,f1031,f220,f1184,f1186,f1188,f1199,f1201,f1203,f1039,f1207,f221,f1045,f1326,f1380,f1381,f1384,f1388,f1339,f1396,f1400,f1351]) ).
fof(f1402,plain,
( ~ spl6_7
| ~ spl6_9 ),
inference(avatar_contradiction_clause,[],[f1401]) ).
fof(f1401,plain,
( $false
| ~ spl6_7
| ~ spl6_9 ),
inference(global_subsumption,[],[f177,f179,f267,f181,f180,f182,f196,f195,f201,f266,f258,f259,f222,f223,f227,f226,f225,f224,f228,f261,f262,f263,f232,f233,f264,f235,f265,f238,f240,f241,f243,f242,f247,f246,f268,f245,f244,f269,f248,f249,f250,f251,f253,f252,f157,f159,f161,f162,f163,f164,f183,f184,f255,f256,f152,f153,f154,f160,f165,f166,f167,f168,f169,f170,f171,f172,f173,f185,f206,f158,f174,f175,f176,f186,f151,f197,f198,f155,f270,f274,f275,f271,f187,f280,f281,f282,f283,f278,f279,f188,f286,f287,f288,f289,f285,f189,f292,f293,f294,f295,f290,f190,f298,f299,f300,f301,f291,f297,f191,f304,f305,f306,f307,f192,f309,f310,f311,f312,f313,f303,f210,f314,f315,f316,f317,f211,f332,f333,f334,f335,f336,f337,f215,f156,f366,f368,f178,f382,f369,f194,f202,f409,f410,f411,f412,f413,f414,f207,f415,f416,f417,f418,f419,f420,f209,f212,f423,f424,f430,f431,f426,f434,f435,f441,f442,f433,f213,f447,f448,f454,f455,f438,f439,f440,f427,f461,f462,f468,f469,f460,f466,f467,f428,f476,f477,f483,f484,f475,f482,f429,f490,f491,f497,f498,f234,f500,f501,f502,f503,f504,f505,f506,f507,f508,f509,f510,f511,f489,f450,f515,f516,f522,f523,f524,f519,f520,f521,f451,f532,f533,f539,f540,f541,f537,f538,f452,f548,f549,f555,f556,f557,f554,f453,f563,f564,f570,f571,f572,f237,f575,f576,f577,f578,f579,f580,f581,f582,f583,f584,f585,f586,f587,f588,f589,f590,f421,f593,f594,f600,f601,f602,f603,f422,f612,f613,f619,f620,f621,f622,f445,f626,f627,f633,f634,f635,f636,f446,f645,f646,f652,f653,f654,f655,f260,f662,f663,f664,f665,f666,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f678,f679,f680,f681,f318,f684,f685,f687,f692,f693,f694,f695,f688,f698,f699,f701,f706,f707,f708,f709,f702,f703,f704,f705,f203,f711,f689,f719,f720,f722,f727,f728,f729,f730,f724,f725,f726,f732,f690,f740,f741,f743,f748,f749,f750,f751,f746,f747,f753,f691,f761,f762,f764,f769,f770,f771,f772,f204,f768,f774,f682,f782,f783,f785,f790,f791,f792,f793,f683,f803,f804,f806,f811,f812,f813,f814,f802,f319,f824,f825,f827,f832,f833,f834,f835,f205,f828,f838,f839,f841,f846,f847,f848,f849,f842,f843,f844,f845,f851,f829,f859,f860,f862,f867,f868,f869,f870,f864,f865,f866,f872,f208,f830,f880,f881,f883,f888,f889,f890,f891,f886,f887,f893,f831,f901,f902,f904,f909,f910,f911,f912,f908,f914,f822,f922,f923,f925,f930,f931,f932,f933,f823,f943,f944,f946,f951,f952,f953,f954,f942,f216,f1033,f1035,f1037,f1041,f1043,f1047,f1049,f1031,f220,f1184,f1186,f1188,f1199,f1201,f1203,f1039,f1207,f221,f1045,f1326,f1380,f1381,f1384,f1388,f1339,f1396,f1400]) ).
fof(f1398,plain,
( ~ spl6_7
| ~ spl6_9 ),
inference(avatar_contradiction_clause,[],[f1397]) ).
fof(f1397,plain,
( $false
| ~ spl6_7
| ~ spl6_9 ),
inference(global_subsumption,[],[f177,f179,f267,f181,f180,f182,f196,f195,f201,f266,f258,f259,f222,f223,f227,f226,f225,f224,f228,f261,f262,f263,f232,f233,f264,f235,f265,f238,f240,f241,f243,f242,f247,f246,f268,f245,f244,f269,f248,f249,f250,f251,f253,f252,f157,f159,f161,f162,f163,f164,f183,f184,f255,f256,f152,f153,f154,f160,f165,f166,f167,f168,f169,f170,f171,f172,f173,f185,f206,f158,f174,f175,f176,f186,f151,f197,f198,f155,f270,f274,f275,f271,f187,f280,f281,f282,f283,f278,f279,f188,f286,f287,f288,f289,f285,f189,f292,f293,f294,f295,f290,f190,f298,f299,f300,f301,f291,f297,f191,f304,f305,f306,f307,f192,f309,f310,f311,f312,f313,f303,f210,f314,f315,f316,f317,f211,f332,f333,f334,f335,f336,f337,f215,f156,f366,f368,f178,f382,f369,f194,f202,f409,f410,f411,f412,f413,f414,f207,f415,f416,f417,f418,f419,f420,f209,f212,f423,f424,f430,f431,f426,f434,f435,f441,f442,f433,f213,f447,f448,f454,f455,f438,f439,f440,f427,f461,f462,f468,f469,f460,f466,f467,f428,f476,f477,f483,f484,f475,f482,f429,f490,f491,f497,f498,f234,f500,f501,f502,f503,f504,f505,f506,f507,f508,f509,f510,f511,f489,f450,f515,f516,f522,f523,f524,f519,f520,f521,f451,f532,f533,f539,f540,f541,f537,f538,f452,f548,f549,f555,f556,f557,f554,f453,f563,f564,f570,f571,f572,f237,f575,f576,f577,f578,f579,f580,f581,f582,f583,f584,f585,f586,f587,f588,f589,f590,f421,f593,f594,f600,f601,f602,f603,f422,f612,f613,f619,f620,f621,f622,f445,f626,f627,f633,f634,f635,f636,f446,f645,f646,f652,f653,f654,f655,f260,f662,f663,f664,f665,f666,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f678,f679,f680,f681,f318,f684,f685,f687,f692,f693,f694,f695,f688,f698,f699,f701,f706,f707,f708,f709,f702,f703,f704,f705,f203,f711,f689,f719,f720,f722,f727,f728,f729,f730,f724,f725,f726,f732,f690,f740,f741,f743,f748,f749,f750,f751,f746,f747,f753,f691,f761,f762,f764,f769,f770,f771,f772,f204,f768,f774,f682,f782,f783,f785,f790,f791,f792,f793,f683,f803,f804,f806,f811,f812,f813,f814,f802,f319,f824,f825,f827,f832,f833,f834,f835,f205,f828,f838,f839,f841,f846,f847,f848,f849,f842,f843,f844,f845,f851,f829,f859,f860,f862,f867,f868,f869,f870,f864,f865,f866,f872,f208,f830,f880,f881,f883,f888,f889,f890,f891,f886,f887,f893,f831,f901,f902,f904,f909,f910,f911,f912,f908,f914,f822,f922,f923,f925,f930,f931,f932,f933,f823,f943,f944,f946,f951,f952,f953,f954,f942,f216,f1033,f1035,f1037,f1041,f1043,f1047,f1049,f1031,f220,f1184,f1186,f1188,f1199,f1201,f1203,f1039,f1207,f221,f1045,f1326,f1380,f1381,f1384,f1388,f1339,f1396]) ).
fof(f1395,plain,
( ~ spl6_7
| ~ spl6_9 ),
inference(avatar_contradiction_clause,[],[f1394]) ).
fof(f1394,plain,
( $false
| ~ spl6_7
| ~ spl6_9 ),
inference(subsumption_resolution,[],[f1342,f1207]) ).
fof(f1342,plain,
( sz00 != xm
| ~ spl6_9 ),
inference(superposition,[],[f169,f1326]) ).
fof(f1393,plain,
( ~ spl6_5
| ~ spl6_7
| ~ spl6_9 ),
inference(avatar_contradiction_clause,[],[f1392]) ).
fof(f1392,plain,
( $false
| ~ spl6_5
| ~ spl6_7
| ~ spl6_9 ),
inference(global_subsumption,[],[f177,f179,f267,f181,f180,f182,f196,f195,f201,f266,f258,f259,f222,f223,f227,f226,f225,f224,f228,f261,f262,f263,f232,f233,f264,f235,f265,f238,f240,f241,f243,f242,f247,f246,f268,f245,f244,f269,f248,f249,f250,f251,f253,f252,f157,f159,f161,f162,f163,f164,f183,f184,f255,f256,f152,f153,f154,f160,f165,f166,f167,f168,f169,f170,f171,f172,f173,f185,f206,f158,f174,f175,f176,f186,f151,f197,f198,f155,f270,f274,f275,f271,f187,f280,f281,f282,f283,f278,f279,f188,f286,f287,f288,f289,f285,f189,f292,f293,f294,f295,f290,f190,f298,f299,f300,f301,f291,f297,f191,f304,f305,f306,f307,f192,f309,f310,f311,f312,f313,f303,f210,f314,f315,f316,f317,f211,f332,f333,f334,f335,f336,f337,f215,f156,f366,f368,f178,f382,f369,f194,f202,f409,f410,f411,f412,f413,f414,f207,f415,f416,f417,f418,f419,f420,f209,f212,f423,f424,f430,f431,f426,f434,f435,f441,f442,f433,f213,f447,f448,f454,f455,f438,f439,f440,f427,f461,f462,f468,f469,f460,f466,f467,f428,f476,f477,f483,f484,f475,f482,f429,f490,f491,f497,f498,f234,f500,f501,f502,f503,f504,f505,f506,f507,f508,f509,f510,f511,f489,f450,f515,f516,f522,f523,f524,f519,f520,f521,f451,f532,f533,f539,f540,f541,f537,f538,f452,f548,f549,f555,f556,f557,f554,f453,f563,f564,f570,f571,f572,f237,f575,f576,f577,f578,f579,f580,f581,f582,f583,f584,f585,f586,f587,f588,f589,f590,f421,f593,f594,f600,f601,f602,f603,f422,f612,f613,f619,f620,f621,f622,f445,f626,f627,f633,f634,f635,f636,f446,f645,f646,f652,f653,f654,f655,f260,f662,f663,f664,f665,f666,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f678,f679,f680,f681,f318,f684,f685,f687,f692,f693,f694,f695,f688,f698,f699,f701,f706,f707,f708,f709,f702,f703,f704,f705,f203,f711,f689,f719,f720,f722,f727,f728,f729,f730,f724,f725,f726,f732,f690,f740,f741,f743,f748,f749,f750,f751,f746,f747,f753,f691,f761,f762,f764,f769,f770,f771,f772,f204,f768,f774,f682,f782,f783,f785,f790,f791,f792,f793,f683,f803,f804,f806,f811,f812,f813,f814,f802,f319,f824,f825,f827,f832,f833,f834,f835,f205,f828,f838,f839,f841,f846,f847,f848,f849,f842,f843,f844,f845,f851,f829,f859,f860,f862,f867,f868,f869,f870,f864,f865,f866,f872,f208,f830,f880,f881,f883,f888,f889,f890,f891,f886,f887,f893,f831,f901,f902,f904,f909,f910,f911,f912,f908,f914,f822,f922,f923,f925,f930,f931,f932,f933,f823,f943,f944,f946,f951,f952,f953,f954,f942,f216,f1033,f1035,f1037,f1041,f1043,f1047,f1049,f1031,f1053,f1063,f1109,f1060,f1157,f1159,f1061,f1066,f1108,f220,f1184,f1186,f1188,f1191,f1194,f1197,f1199,f1201,f1203,f1068,f1069,f1107,f1059,f1039,f1207,f1260,f1257,f1258,f221,f1045,f1326,f1380,f1381,f1382,f1384,f1388,f1339,f1391]) ).
fof(f1391,plain,
( sdtlseqdt0(sz00,sz00)
| ~ spl6_5
| ~ spl6_9 ),
inference(forward_demodulation,[],[f1341,f1053]) ).
fof(f1341,plain,
( sdtlseqdt0(xn,sz00)
| ~ spl6_9 ),
inference(superposition,[],[f168,f1326]) ).
fof(f1382,plain,
( ~ sdtlseqdt0(sz00,sz00)
| ~ spl6_5
| ~ spl6_9 ),
inference(forward_demodulation,[],[f1334,f1053]) ).
fof(f1334,plain,
( ~ sdtlseqdt0(sz00,xn)
| ~ spl6_9 ),
inference(superposition,[],[f153,f1326]) ).
fof(f1257,plain,
( ~ doDivides0(xp,sdtasdt0(sdtsldt0(sz00,xr),sz00))
| ~ spl6_5
| ~ spl6_7 ),
inference(superposition,[],[f1059,f1207]) ).
fof(f1260,plain,
( sdtasdt0(xp,sdtsldt0(xk,xr)) = sdtasdt0(sdtsldt0(sz00,xr),sz00)
| ~ spl6_5
| ~ spl6_7 ),
inference(forward_demodulation,[],[f1216,f1053]) ).
fof(f1216,plain,
( sdtasdt0(xp,sdtsldt0(xk,xr)) = sdtasdt0(sdtsldt0(xn,xr),sz00)
| ~ spl6_7 ),
inference(superposition,[],[f156,f1207]) ).
fof(f1069,plain,
( sdtlseqdt0(sdtsldt0(sz00,xr),sz00)
| ~ spl6_5 ),
inference(superposition,[],[f176,f1053]) ).
fof(f1068,plain,
( sz00 != sdtsldt0(sz00,xr)
| ~ spl6_5 ),
inference(superposition,[],[f175,f1053]) ).
fof(f1197,plain,
( sz00 != sdtpldt0(sz00,xr)
| sz00 = xr
| ~ spl6_5 ),
inference(forward_demodulation,[],[f1196,f1053]) ).
fof(f1196,plain,
( sz00 != sdtpldt0(xn,xr)
| sz00 = xr ),
inference(subsumption_resolution,[],[f1195,f159]) ).
fof(f1195,plain,
( sz00 != sdtpldt0(xn,xr)
| sz00 = xr
| ~ aNaturalNumber0(xr) ),
inference(subsumption_resolution,[],[f1176,f162]) ).
fof(f1176,plain,
( sz00 != sdtpldt0(xn,xr)
| sz00 = xr
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xr) ),
inference(superposition,[],[f220,f440]) ).
fof(f1194,plain,
( sz00 != sdtpldt0(sz00,xp)
| sz00 = xp
| ~ spl6_5 ),
inference(forward_demodulation,[],[f1193,f1053]) ).
fof(f1193,plain,
( sz00 != sdtpldt0(xn,xp)
| sz00 = xp ),
inference(subsumption_resolution,[],[f1192,f164]) ).
fof(f1192,plain,
( sz00 != sdtpldt0(xn,xp)
| sz00 = xp
| ~ aNaturalNumber0(xp) ),
inference(subsumption_resolution,[],[f1175,f162]) ).
fof(f1175,plain,
( sz00 != sdtpldt0(xn,xp)
| sz00 = xp
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[],[f220,f439]) ).
fof(f1191,plain,
( sz00 != sdtpldt0(sz00,xm)
| sz00 = xm
| ~ spl6_5 ),
inference(forward_demodulation,[],[f1190,f1053]) ).
fof(f1190,plain,
( sz00 != sdtpldt0(xn,xm)
| sz00 = xm ),
inference(subsumption_resolution,[],[f1189,f163]) ).
fof(f1189,plain,
( sz00 != sdtpldt0(xn,xm)
| sz00 = xm
| ~ aNaturalNumber0(xm) ),
inference(subsumption_resolution,[],[f1174,f162]) ).
fof(f1174,plain,
( sz00 != sdtpldt0(xn,xm)
| sz00 = xm
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[],[f220,f438]) ).
fof(f1159,plain,
( sdtlseqdt0(sz00,xp)
| ~ spl6_5 ),
inference(subsumption_resolution,[],[f1158,f183]) ).
fof(f1158,plain,
( sdtlseqdt0(sz00,xp)
| ~ aNaturalNumber0(sz00)
| ~ spl6_5 ),
inference(subsumption_resolution,[],[f1155,f164]) ).
fof(f1155,plain,
( sdtlseqdt0(sz00,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ spl6_5 ),
inference(resolution,[],[f1060,f215]) ).
fof(f1157,plain,
( sdtlseqdt0(sz00,xp)
| ~ spl6_5 ),
inference(subsumption_resolution,[],[f1156,f164]) ).
fof(f1156,plain,
( sdtlseqdt0(sz00,xp)
| ~ aNaturalNumber0(xp)
| ~ spl6_5 ),
inference(subsumption_resolution,[],[f1154,f183]) ).
fof(f1154,plain,
( sdtlseqdt0(sz00,xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ spl6_5 ),
inference(resolution,[],[f1060,f215]) ).
fof(f1109,plain,
( doDivides0(xr,sz00)
| ~ spl6_5 ),
inference(forward_demodulation,[],[f1067,f287]) ).
fof(f1067,plain,
( doDivides0(xr,sdtasdt0(sz00,xm))
| ~ spl6_5 ),
inference(superposition,[],[f174,f1053]) ).
fof(f1063,plain,
( sdtasdt0(xp,sdtsldt0(xk,xr)) = sdtasdt0(sdtsldt0(sz00,xr),xm)
| ~ spl6_5 ),
inference(superposition,[],[f156,f1053]) ).
fof(f1390,plain,
( ~ spl6_5
| ~ spl6_9 ),
inference(avatar_contradiction_clause,[],[f1389]) ).
fof(f1389,plain,
( $false
| ~ spl6_5
| ~ spl6_9 ),
inference(subsumption_resolution,[],[f1340,f1053]) ).
fof(f1340,plain,
( sz00 != xn
| ~ spl6_9 ),
inference(superposition,[],[f167,f1326]) ).
fof(f1386,plain,
~ spl6_9,
inference(avatar_contradiction_clause,[],[f1385]) ).
fof(f1385,plain,
( $false
| ~ spl6_9 ),
inference(subsumption_resolution,[],[f1336,f275]) ).
fof(f1336,plain,
( isPrime0(sz00)
| ~ spl6_9 ),
inference(superposition,[],[f157,f1326]) ).
fof(f1331,plain,
( spl6_9
| spl6_10 ),
inference(avatar_split_clause,[],[f1045,f1328,f1324]) ).
fof(f1212,plain,
( spl6_7
| spl6_8 ),
inference(avatar_split_clause,[],[f1039,f1209,f1205]) ).
fof(f1209,plain,
( spl6_8
<=> sdtlseqdt0(sz10,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_8])]) ).
fof(f1058,plain,
( spl6_5
| spl6_6 ),
inference(avatar_split_clause,[],[f1031,f1055,f1051]) ).
fof(f1055,plain,
( spl6_6
<=> sdtlseqdt0(sz10,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_6])]) ).
fof(f395,plain,
spl6_4,
inference(avatar_contradiction_clause,[],[f394]) ).
fof(f394,plain,
( $false
| spl6_4 ),
inference(subsumption_resolution,[],[f393,f162]) ).
fof(f393,plain,
( ~ aNaturalNumber0(xn)
| spl6_4 ),
inference(subsumption_resolution,[],[f392,f163]) ).
fof(f392,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| spl6_4 ),
inference(resolution,[],[f389,f211]) ).
fof(f389,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,xm))
| spl6_4 ),
inference(avatar_component_clause,[],[f388]) ).
fof(f391,plain,
( ~ spl6_3
| spl6_4 ),
inference(avatar_split_clause,[],[f382,f388,f384]) ).
fof(f378,plain,
( ~ spl6_1
| spl6_2 ),
inference(avatar_split_clause,[],[f368,f375,f371]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : NUM514+1 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n023.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 14:52:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (1634)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (1640)WARNING: value z3 for option sas not known
% 0.15/0.38 % (1639)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (1643)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.38 % (1638)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (1642)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.38 % (1641)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (1644)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.38 % (1640)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.39 Detected minimum model sizes of [3]
% 0.15/0.39 Detected maximum model sizes of [max]
% 0.15/0.39 Detected minimum model sizes of [3]
% 0.15/0.39 Detected maximum model sizes of [max]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [3]
% 0.15/0.40 TRYING [4]
% 0.15/0.41 TRYING [4]
% 0.22/0.45 % (1640)First to succeed.
% 0.22/0.47 % (1640)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1634"
% 0.22/0.47 % (1640)Refutation found. Thanks to Tanya!
% 0.22/0.47 % SZS status Theorem for theBenchmark
% 0.22/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.48 % (1640)------------------------------
% 0.22/0.48 % (1640)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.48 % (1640)Termination reason: Refutation
% 0.22/0.48
% 0.22/0.48 % (1640)Memory used [KB]: 2024
% 0.22/0.48 % (1640)Time elapsed: 0.087 s
% 0.22/0.48 % (1640)Instructions burned: 159 (million)
% 0.22/0.48 % (1634)Success in time 0.113 s
%------------------------------------------------------------------------------