TSTP Solution File: RNG119+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : RNG119+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 : n010.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 08:58:03 EDT 2024
% Result : Theorem 1.85s 0.62s
% Output : Refutation 1.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 104
% Syntax : Number of formulae : 505 ( 82 unt; 0 def)
% Number of atoms : 1237 ( 159 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 1232 ( 500 ~; 504 |; 115 &)
% ( 85 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 80 ( 78 usr; 69 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 11 con; 0-2 aty)
% Number of variables : 290 ( 257 !; 33 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5269,plain,
$false,
inference(avatar_sat_refutation,[],[f336,f345,f693,f1055,f1058,f1187,f1190,f1215,f1218,f1228,f1231,f1262,f1265,f1323,f1326,f1336,f1339,f1521,f1525,f1554,f1558,f1568,f1572,f1582,f1587,f1597,f1601,f1611,f1616,f1626,f1630,f1835,f1838,f1977,f1980,f2013,f2016,f2051,f2054,f2087,f2090,f2123,f2126,f2159,f2162,f2195,f2198,f2741,f2961,f2964,f3654,f3719,f3780,f3872,f3934,f4029,f4515,f4518,f4713,f4716,f4818,f4821,f4886,f4890,f5268]) ).
fof(f5268,plain,
~ spl32_7,
inference(avatar_contradiction_clause,[],[f5267]) ).
fof(f5267,plain,
( $false
| ~ spl32_7 ),
inference(subsumption_resolution,[],[f5266,f355]) ).
fof(f355,plain,
aElement0(xu),
inference(subsumption_resolution,[],[f353,f326]) ).
fof(f326,plain,
aSet0(xI),
inference(resolution,[],[f252,f195]) ).
fof(f195,plain,
aIdeal0(xI),
inference(cnf_transformation,[],[f42]) ).
fof(f42,axiom,
( xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))
& aIdeal0(xI) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2174) ).
fof(f252,plain,
! [X0] :
( ~ aIdeal0(X0)
| aSet0(X0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f153,plain,
! [X0] :
( ( aIdeal0(X0)
| ( ~ sP2(X0,sK17(X0))
& aElementOf0(sK17(X0),X0) )
| ~ aSet0(X0) )
& ( ( ! [X2] :
( sP2(X0,X2)
| ~ aElementOf0(X2,X0) )
& aSet0(X0) )
| ~ aIdeal0(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f151,f152]) ).
fof(f152,plain,
! [X0] :
( ? [X1] :
( ~ sP2(X0,X1)
& aElementOf0(X1,X0) )
=> ( ~ sP2(X0,sK17(X0))
& aElementOf0(sK17(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f151,plain,
! [X0] :
( ( aIdeal0(X0)
| ? [X1] :
( ~ sP2(X0,X1)
& aElementOf0(X1,X0) )
| ~ aSet0(X0) )
& ( ( ! [X2] :
( sP2(X0,X2)
| ~ aElementOf0(X2,X0) )
& aSet0(X0) )
| ~ aIdeal0(X0) ) ),
inference(rectify,[],[f150]) ).
fof(f150,plain,
! [X0] :
( ( aIdeal0(X0)
| ? [X1] :
( ~ sP2(X0,X1)
& aElementOf0(X1,X0) )
| ~ aSet0(X0) )
& ( ( ! [X1] :
( sP2(X0,X1)
| ~ aElementOf0(X1,X0) )
& aSet0(X0) )
| ~ aIdeal0(X0) ) ),
inference(flattening,[],[f149]) ).
fof(f149,plain,
! [X0] :
( ( aIdeal0(X0)
| ? [X1] :
( ~ sP2(X0,X1)
& aElementOf0(X1,X0) )
| ~ aSet0(X0) )
& ( ( ! [X1] :
( sP2(X0,X1)
| ~ aElementOf0(X1,X0) )
& aSet0(X0) )
| ~ aIdeal0(X0) ) ),
inference(nnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0] :
( aIdeal0(X0)
<=> ( ! [X1] :
( sP2(X0,X1)
| ~ aElementOf0(X1,X0) )
& aSet0(X0) ) ),
inference(definition_folding,[],[f75,f117]) ).
fof(f117,plain,
! [X0,X1] :
( sP2(X0,X1)
<=> ( ! [X2] :
( aElementOf0(sdtasdt0(X2,X1),X0)
| ~ aElement0(X2) )
& ! [X3] :
( aElementOf0(sdtpldt0(X1,X3),X0)
| ~ aElementOf0(X3,X0) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f75,plain,
! [X0] :
( aIdeal0(X0)
<=> ( ! [X1] :
( ( ! [X2] :
( aElementOf0(sdtasdt0(X2,X1),X0)
| ~ aElement0(X2) )
& ! [X3] :
( aElementOf0(sdtpldt0(X1,X3),X0)
| ~ aElementOf0(X3,X0) ) )
| ~ aElementOf0(X1,X0) )
& aSet0(X0) ) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0] :
( aIdeal0(X0)
<=> ( ! [X1] :
( aElementOf0(X1,X0)
=> ( ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),X0) )
& ! [X3] :
( aElementOf0(X3,X0)
=> aElementOf0(sdtpldt0(X1,X3),X0) ) ) )
& aSet0(X0) ) ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X0] :
( aIdeal0(X0)
<=> ( ! [X1] :
( aElementOf0(X1,X0)
=> ( ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),X0) )
& ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(sdtpldt0(X1,X2),X0) ) ) )
& aSet0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefIdeal) ).
fof(f353,plain,
( aElement0(xu)
| ~ aSet0(xI) ),
inference(resolution,[],[f220,f203]) ).
fof(f203,plain,
aElementOf0(xu,xI),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
( ! [X0] :
( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
| sz00 = X0
| ~ aElementOf0(X0,xI) )
& sz00 != xu
& aElementOf0(xu,xI) ),
inference(flattening,[],[f62]) ).
fof(f62,plain,
( ! [X0] :
( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
| sz00 = X0
| ~ aElementOf0(X0,xI) )
& sz00 != xu
& aElementOf0(xu,xI) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,axiom,
( ! [X0] :
( ( sz00 != X0
& aElementOf0(X0,xI) )
=> ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu)) )
& sz00 != xu
& aElementOf0(xu,xI) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2273) ).
fof(f220,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
fof(f5266,plain,
( ~ aElement0(xu)
| ~ spl32_7 ),
inference(subsumption_resolution,[],[f5265,f197]) ).
fof(f197,plain,
aElement0(xq),
inference(cnf_transformation,[],[f50]) ).
fof(f50,axiom,
( ( iLess0(sbrdtbr0(xr),sbrdtbr0(xu))
| sz00 = xr )
& xb = sdtpldt0(sdtasdt0(xq,xu),xr)
& aElement0(xr)
& aElement0(xq) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2666) ).
fof(f5265,plain,
( ~ aElement0(xq)
| ~ aElement0(xu)
| ~ spl32_7 ),
inference(subsumption_resolution,[],[f5261,f192]) ).
fof(f192,plain,
~ doDivides0(xu,xb),
inference(cnf_transformation,[],[f49]) ).
fof(f49,axiom,
~ doDivides0(xu,xb),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2612) ).
fof(f5261,plain,
( doDivides0(xu,xb)
| ~ aElement0(xq)
| ~ aElement0(xu)
| ~ spl32_7 ),
inference(superposition,[],[f1613,f5252]) ).
fof(f5252,plain,
( xb = sdtasdt0(xu,xq)
| ~ spl32_7 ),
inference(forward_demodulation,[],[f5217,f4462]) ).
fof(f4462,plain,
xb = sdtpldt0(sdtasdt0(xu,xq),sz00),
inference(superposition,[],[f347,f4444]) ).
fof(f4444,plain,
sdtasdt0(xq,xu) = sdtasdt0(xu,xq),
inference(resolution,[],[f1301,f355]) ).
fof(f1301,plain,
! [X0] :
( ~ aElement0(X0)
| sdtasdt0(X0,xq) = sdtasdt0(xq,X0) ),
inference(resolution,[],[f295,f197]) ).
fof(f295,plain,
! [X0,X1] :
( ~ aElement0(X1)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f96]) ).
fof(f96,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulComm) ).
fof(f347,plain,
xb = sdtpldt0(sdtasdt0(xq,xu),sz00),
inference(forward_demodulation,[],[f199,f191]) ).
fof(f191,plain,
sz00 = xr,
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
sz00 = xr,
inference(flattening,[],[f52]) ).
fof(f52,negated_conjecture,
~ ( sz00 != xr ),
inference(negated_conjecture,[],[f51]) ).
fof(f51,conjecture,
sz00 != xr,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f199,plain,
xb = sdtpldt0(sdtasdt0(xq,xu),xr),
inference(cnf_transformation,[],[f50]) ).
fof(f5217,plain,
( sdtasdt0(xu,xq) = sdtpldt0(sdtasdt0(xu,xq),sz00)
| ~ spl32_7 ),
inference(resolution,[],[f5161,f225]) ).
fof(f225,plain,
! [X0] :
( ~ aElement0(X0)
| sdtpldt0(X0,sz00) = X0 ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0] :
( ( sdtpldt0(sz00,X0) = X0
& sdtpldt0(X0,sz00) = X0 )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( aElement0(X0)
=> ( sdtpldt0(sz00,X0) = X0
& sdtpldt0(X0,sz00) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddZero) ).
fof(f5161,plain,
( aElement0(sdtasdt0(xu,xq))
| ~ spl32_7 ),
inference(subsumption_resolution,[],[f5160,f1181]) ).
fof(f1181,plain,
( sP1(xq)
| ~ spl32_7 ),
inference(avatar_component_clause,[],[f1180]) ).
fof(f1180,plain,
( spl32_7
<=> sP1(xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_7])]) ).
fof(f5160,plain,
( aElement0(sdtasdt0(xu,xq))
| ~ sP1(xq) ),
inference(subsumption_resolution,[],[f5112,f355]) ).
fof(f5112,plain,
( aElement0(sdtasdt0(xu,xq))
| ~ aElement0(xu)
| ~ sP1(xq) ),
inference(superposition,[],[f4887,f4444]) ).
fof(f4887,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X1,X0))
| ~ aElement0(X0)
| ~ sP1(X1) ),
inference(resolution,[],[f978,f317]) ).
fof(f317,plain,
! [X0] :
( sP0(X0,slsdtgt0(X0))
| ~ sP1(X0) ),
inference(equality_resolution,[],[f236]) ).
fof(f236,plain,
! [X0,X1] :
( sP0(X0,X1)
| slsdtgt0(X0) != X1
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0] :
( ! [X1] :
( ( slsdtgt0(X0) = X1
| ~ sP0(X0,X1) )
& ( sP0(X0,X1)
| slsdtgt0(X0) != X1 ) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0] :
( ! [X1] :
( slsdtgt0(X0) = X1
<=> sP0(X0,X1) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f978,plain,
! [X2,X0,X1] :
( ~ sP0(X1,X2)
| ~ aElement0(X0)
| aElement0(sdtasdt0(X1,X0)) ),
inference(subsumption_resolution,[],[f904,f238]) ).
fof(f238,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| aSet0(X1) ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ( ( ! [X3] :
( sdtasdt0(X0,X3) != sK12(X0,X1)
| ~ aElement0(X3) )
| ~ aElementOf0(sK12(X0,X1),X1) )
& ( ( sK12(X0,X1) = sdtasdt0(X0,sK13(X0,X1))
& aElement0(sK13(X0,X1)) )
| aElementOf0(sK12(X0,X1),X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X5] :
( ( aElementOf0(X5,X1)
| ! [X6] :
( sdtasdt0(X0,X6) != X5
| ~ aElement0(X6) ) )
& ( ( sdtasdt0(X0,sK14(X0,X5)) = X5
& aElement0(sK14(X0,X5)) )
| ~ aElementOf0(X5,X1) ) )
& aSet0(X1) )
| ~ sP0(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13,sK14])],[f138,f141,f140,f139]) ).
fof(f139,plain,
! [X0,X1] :
( ? [X2] :
( ( ! [X3] :
( sdtasdt0(X0,X3) != X2
| ~ aElement0(X3) )
| ~ aElementOf0(X2,X1) )
& ( ? [X4] :
( sdtasdt0(X0,X4) = X2
& aElement0(X4) )
| aElementOf0(X2,X1) ) )
=> ( ( ! [X3] :
( sdtasdt0(X0,X3) != sK12(X0,X1)
| ~ aElement0(X3) )
| ~ aElementOf0(sK12(X0,X1),X1) )
& ( ? [X4] :
( sdtasdt0(X0,X4) = sK12(X0,X1)
& aElement0(X4) )
| aElementOf0(sK12(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f140,plain,
! [X0,X1] :
( ? [X4] :
( sdtasdt0(X0,X4) = sK12(X0,X1)
& aElement0(X4) )
=> ( sK12(X0,X1) = sdtasdt0(X0,sK13(X0,X1))
& aElement0(sK13(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f141,plain,
! [X0,X5] :
( ? [X7] :
( sdtasdt0(X0,X7) = X5
& aElement0(X7) )
=> ( sdtasdt0(X0,sK14(X0,X5)) = X5
& aElement0(sK14(X0,X5)) ) ),
introduced(choice_axiom,[]) ).
fof(f138,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ? [X2] :
( ( ! [X3] :
( sdtasdt0(X0,X3) != X2
| ~ aElement0(X3) )
| ~ aElementOf0(X2,X1) )
& ( ? [X4] :
( sdtasdt0(X0,X4) = X2
& aElement0(X4) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X5] :
( ( aElementOf0(X5,X1)
| ! [X6] :
( sdtasdt0(X0,X6) != X5
| ~ aElement0(X6) ) )
& ( ? [X7] :
( sdtasdt0(X0,X7) = X5
& aElement0(X7) )
| ~ aElementOf0(X5,X1) ) )
& aSet0(X1) )
| ~ sP0(X0,X1) ) ),
inference(rectify,[],[f137]) ).
fof(f137,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ? [X2] :
( ( ! [X3] :
( sdtasdt0(X0,X3) != X2
| ~ aElement0(X3) )
| ~ aElementOf0(X2,X1) )
& ( ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( ( aElementOf0(X2,X1)
| ! [X3] :
( sdtasdt0(X0,X3) != X2
| ~ aElement0(X3) ) )
& ( ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) )
| ~ aElementOf0(X2,X1) ) )
& aSet0(X1) )
| ~ sP0(X0,X1) ) ),
inference(flattening,[],[f136]) ).
fof(f136,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ? [X2] :
( ( ! [X3] :
( sdtasdt0(X0,X3) != X2
| ~ aElement0(X3) )
| ~ aElementOf0(X2,X1) )
& ( ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( ( aElementOf0(X2,X1)
| ! [X3] :
( sdtasdt0(X0,X3) != X2
| ~ aElement0(X3) ) )
& ( ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) )
| ~ aElementOf0(X2,X1) ) )
& aSet0(X1) )
| ~ sP0(X0,X1) ) ),
inference(nnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0,X1] :
( sP0(X0,X1)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) ) )
& aSet0(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f904,plain,
! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ sP0(X1,X2)
| aElement0(sdtasdt0(X1,X0))
| ~ aSet0(X2) ),
inference(resolution,[],[f318,f220]) ).
fof(f318,plain,
! [X0,X1,X6] :
( aElementOf0(sdtasdt0(X0,X6),X1)
| ~ aElement0(X6)
| ~ sP0(X0,X1) ),
inference(equality_resolution,[],[f241]) ).
fof(f241,plain,
! [X0,X1,X6,X5] :
( aElementOf0(X5,X1)
| sdtasdt0(X0,X6) != X5
| ~ aElement0(X6)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f142]) ).
fof(f1613,plain,
! [X2,X0] :
( doDivides0(X0,sdtasdt0(X0,X2))
| ~ aElement0(X2)
| ~ aElement0(X0) ),
inference(subsumption_resolution,[],[f323,f293]) ).
fof(f293,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f92]) ).
fof(f92,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> aElement0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f323,plain,
! [X2,X0] :
( doDivides0(X0,sdtasdt0(X0,X2))
| ~ aElement0(X2)
| ~ aElement0(sdtasdt0(X0,X2))
| ~ aElement0(X0) ),
inference(equality_resolution,[],[f301]) ).
fof(f301,plain,
! [X2,X0,X1] :
( doDivides0(X0,X1)
| sdtasdt0(X0,X2) != X1
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f183]) ).
fof(f183,plain,
! [X0,X1] :
( ( ( doDivides0(X0,X1)
| ! [X2] :
( sdtasdt0(X0,X2) != X1
| ~ aElement0(X2) ) )
& ( ( sdtasdt0(X0,sK30(X0,X1)) = X1
& aElement0(sK30(X0,X1)) )
| ~ doDivides0(X0,X1) ) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK30])],[f181,f182]) ).
fof(f182,plain,
! [X0,X1] :
( ? [X3] :
( sdtasdt0(X0,X3) = X1
& aElement0(X3) )
=> ( sdtasdt0(X0,sK30(X0,X1)) = X1
& aElement0(sK30(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f181,plain,
! [X0,X1] :
( ( ( doDivides0(X0,X1)
| ! [X2] :
( sdtasdt0(X0,X2) != X1
| ~ aElement0(X2) ) )
& ( ? [X3] :
( sdtasdt0(X0,X3) = X1
& aElement0(X3) )
| ~ doDivides0(X0,X1) ) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(rectify,[],[f180]) ).
fof(f180,plain,
! [X0,X1] :
( ( ( doDivides0(X0,X1)
| ! [X2] :
( sdtasdt0(X0,X2) != X1
| ~ aElement0(X2) ) )
& ( ? [X2] :
( sdtasdt0(X0,X2) = X1
& aElement0(X2) )
| ~ doDivides0(X0,X1) ) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(nnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( sdtasdt0(X0,X2) = X1
& aElement0(X2) ) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f102]) ).
fof(f102,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( sdtasdt0(X0,X2) = X1
& aElement0(X2) ) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> ( doDivides0(X0,X1)
<=> ? [X2] :
( sdtasdt0(X0,X2) = X1
& aElement0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiv) ).
fof(f4890,plain,
( ~ spl32_9
| ~ spl32_62 ),
inference(avatar_contradiction_clause,[],[f4889]) ).
fof(f4889,plain,
( $false
| ~ spl32_9
| ~ spl32_62 ),
inference(subsumption_resolution,[],[f4888,f1209]) ).
fof(f1209,plain,
( sP1(sK10)
| ~ spl32_9 ),
inference(avatar_component_clause,[],[f1208]) ).
fof(f1208,plain,
( spl32_9
<=> sP1(sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_9])]) ).
fof(f4888,plain,
( ~ sP1(sK10)
| ~ spl32_62 ),
inference(resolution,[],[f3933,f317]) ).
fof(f3933,plain,
( ! [X0] : ~ sP0(sK10,X0)
| ~ spl32_62 ),
inference(avatar_component_clause,[],[f3932]) ).
fof(f3932,plain,
( spl32_62
<=> ! [X0] : ~ sP0(sK10,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_62])]) ).
fof(f4886,plain,
( spl32_68
| spl32_62 ),
inference(avatar_split_clause,[],[f4881,f3932,f4883]) ).
fof(f4883,plain,
( spl32_68
<=> aElement0(sdtasdt0(xb,sK10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_68])]) ).
fof(f4881,plain,
! [X0] :
( ~ sP0(sK10,X0)
| aElement0(sdtasdt0(xb,sK10)) ),
inference(subsumption_resolution,[],[f4880,f238]) ).
fof(f4880,plain,
! [X0] :
( ~ sP0(sK10,X0)
| aElement0(sdtasdt0(xb,sK10))
| ~ aSet0(X0) ),
inference(resolution,[],[f4406,f220]) ).
fof(f4406,plain,
! [X0] :
( aElementOf0(sdtasdt0(xb,sK10),X0)
| ~ sP0(sK10,X0) ),
inference(subsumption_resolution,[],[f4401,f202]) ).
fof(f202,plain,
aElement0(xb),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
( aElement0(xb)
& aElement0(xa) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2091) ).
fof(f4401,plain,
! [X0] :
( aElementOf0(sdtasdt0(xb,sK10),X0)
| ~ aElement0(xb)
| ~ sP0(sK10,X0) ),
inference(superposition,[],[f318,f4353]) ).
fof(f4353,plain,
sdtasdt0(sK10,xb) = sdtasdt0(xb,sK10),
inference(resolution,[],[f1299,f214]) ).
fof(f214,plain,
aElement0(sK10),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
( xu = sdtpldt0(sdtasdt0(xa,sK10),sdtasdt0(xb,sK11))
& aElement0(sK11)
& aElement0(sK10) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11])],[f47,f131]) ).
fof(f131,plain,
( ? [X0,X1] :
( xu = sdtpldt0(sdtasdt0(xa,X0),sdtasdt0(xb,X1))
& aElement0(X1)
& aElement0(X0) )
=> ( xu = sdtpldt0(sdtasdt0(xa,sK10),sdtasdt0(xb,sK11))
& aElement0(sK11)
& aElement0(sK10) ) ),
introduced(choice_axiom,[]) ).
fof(f47,axiom,
? [X0,X1] :
( xu = sdtpldt0(sdtasdt0(xa,X0),sdtasdt0(xb,X1))
& aElement0(X1)
& aElement0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2416) ).
fof(f1299,plain,
! [X0] :
( ~ aElement0(X0)
| sdtasdt0(X0,xb) = sdtasdt0(xb,X0) ),
inference(resolution,[],[f295,f202]) ).
fof(f4821,plain,
( ~ spl32_17
| ~ spl32_60 ),
inference(avatar_contradiction_clause,[],[f4820]) ).
fof(f4820,plain,
( $false
| ~ spl32_17
| ~ spl32_60 ),
inference(subsumption_resolution,[],[f4819,f1330]) ).
fof(f1330,plain,
( sP1(sK9)
| ~ spl32_17 ),
inference(avatar_component_clause,[],[f1329]) ).
fof(f1329,plain,
( spl32_17
<=> sP1(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_17])]) ).
fof(f4819,plain,
( ~ sP1(sK9)
| ~ spl32_60 ),
inference(resolution,[],[f3871,f317]) ).
fof(f3871,plain,
( ! [X0] : ~ sP0(sK9,X0)
| ~ spl32_60 ),
inference(avatar_component_clause,[],[f3870]) ).
fof(f3870,plain,
( spl32_60
<=> ! [X0] : ~ sP0(sK9,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_60])]) ).
fof(f4818,plain,
( spl32_67
| spl32_60 ),
inference(avatar_split_clause,[],[f4813,f3870,f4815]) ).
fof(f4815,plain,
( spl32_67
<=> aElement0(sdtasdt0(xb,sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_67])]) ).
fof(f4813,plain,
! [X0] :
( ~ sP0(sK9,X0)
| aElement0(sdtasdt0(xb,sK9)) ),
inference(subsumption_resolution,[],[f4812,f238]) ).
fof(f4812,plain,
! [X0] :
( ~ sP0(sK9,X0)
| aElement0(sdtasdt0(xb,sK9))
| ~ aSet0(X0) ),
inference(resolution,[],[f4395,f220]) ).
fof(f4395,plain,
! [X0] :
( aElementOf0(sdtasdt0(xb,sK9),X0)
| ~ sP0(sK9,X0) ),
inference(subsumption_resolution,[],[f4390,f202]) ).
fof(f4390,plain,
! [X0] :
( aElementOf0(sdtasdt0(xb,sK9),X0)
| ~ aElement0(xb)
| ~ sP0(sK9,X0) ),
inference(superposition,[],[f318,f4352]) ).
fof(f4352,plain,
sdtasdt0(sK9,xb) = sdtasdt0(xb,sK9),
inference(resolution,[],[f1299,f356]) ).
fof(f356,plain,
aElement0(sK9),
inference(subsumption_resolution,[],[f354,f326]) ).
fof(f354,plain,
( aElement0(sK9)
| ~ aSet0(xI) ),
inference(resolution,[],[f220,f348]) ).
fof(f348,plain,
aElementOf0(sK9,xI),
inference(forward_demodulation,[],[f212,f196]) ).
fof(f196,plain,
xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)),
inference(cnf_transformation,[],[f42]) ).
fof(f212,plain,
aElementOf0(sK9,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
( sz00 != sK9
& aElementOf0(sK9,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f44,f129]) ).
fof(f129,plain,
( ? [X0] :
( sz00 != X0
& aElementOf0(X0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))) )
=> ( sz00 != sK9
& aElementOf0(sK9,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))) ) ),
introduced(choice_axiom,[]) ).
fof(f44,axiom,
? [X0] :
( sz00 != X0
& aElementOf0(X0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2228) ).
fof(f4716,plain,
( ~ spl32_7
| ~ spl32_58 ),
inference(avatar_contradiction_clause,[],[f4715]) ).
fof(f4715,plain,
( $false
| ~ spl32_7
| ~ spl32_58 ),
inference(subsumption_resolution,[],[f4714,f1181]) ).
fof(f4714,plain,
( ~ sP1(xq)
| ~ spl32_58 ),
inference(resolution,[],[f3779,f317]) ).
fof(f3779,plain,
( ! [X0] : ~ sP0(xq,X0)
| ~ spl32_58 ),
inference(avatar_component_clause,[],[f3778]) ).
fof(f3778,plain,
( spl32_58
<=> ! [X0] : ~ sP0(xq,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_58])]) ).
fof(f4713,plain,
( spl32_66
| spl32_58 ),
inference(avatar_split_clause,[],[f4708,f3778,f4710]) ).
fof(f4710,plain,
( spl32_66
<=> aElement0(sdtasdt0(xb,xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_66])]) ).
fof(f4708,plain,
! [X0] :
( ~ sP0(xq,X0)
| aElement0(sdtasdt0(xb,xq)) ),
inference(subsumption_resolution,[],[f4707,f238]) ).
fof(f4707,plain,
! [X0] :
( ~ sP0(xq,X0)
| aElement0(sdtasdt0(xb,xq))
| ~ aSet0(X0) ),
inference(resolution,[],[f4384,f220]) ).
fof(f4384,plain,
! [X0] :
( aElementOf0(sdtasdt0(xb,xq),X0)
| ~ sP0(xq,X0) ),
inference(subsumption_resolution,[],[f4379,f202]) ).
fof(f4379,plain,
! [X0] :
( aElementOf0(sdtasdt0(xb,xq),X0)
| ~ aElement0(xb)
| ~ sP0(xq,X0) ),
inference(superposition,[],[f318,f4350]) ).
fof(f4350,plain,
sdtasdt0(xq,xb) = sdtasdt0(xb,xq),
inference(resolution,[],[f1299,f197]) ).
fof(f4518,plain,
( ~ spl32_15
| ~ spl32_56 ),
inference(avatar_contradiction_clause,[],[f4517]) ).
fof(f4517,plain,
( $false
| ~ spl32_15
| ~ spl32_56 ),
inference(subsumption_resolution,[],[f4516,f1317]) ).
fof(f1317,plain,
( sP1(xu)
| ~ spl32_15 ),
inference(avatar_component_clause,[],[f1316]) ).
fof(f1316,plain,
( spl32_15
<=> sP1(xu) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_15])]) ).
fof(f4516,plain,
( ~ sP1(xu)
| ~ spl32_56 ),
inference(resolution,[],[f3718,f317]) ).
fof(f3718,plain,
( ! [X0] : ~ sP0(xu,X0)
| ~ spl32_56 ),
inference(avatar_component_clause,[],[f3717]) ).
fof(f3717,plain,
( spl32_56
<=> ! [X0] : ~ sP0(xu,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_56])]) ).
fof(f4515,plain,
( spl32_65
| spl32_56 ),
inference(avatar_split_clause,[],[f4422,f3717,f4512]) ).
fof(f4512,plain,
( spl32_65
<=> aElement0(sdtasdt0(xb,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_65])]) ).
fof(f4422,plain,
! [X0] :
( ~ sP0(xu,X0)
| aElement0(sdtasdt0(xb,xu)) ),
inference(subsumption_resolution,[],[f4421,f238]) ).
fof(f4421,plain,
! [X0] :
( ~ sP0(xu,X0)
| aElement0(sdtasdt0(xb,xu))
| ~ aSet0(X0) ),
inference(resolution,[],[f4373,f220]) ).
fof(f4373,plain,
! [X0] :
( aElementOf0(sdtasdt0(xb,xu),X0)
| ~ sP0(xu,X0) ),
inference(subsumption_resolution,[],[f4368,f202]) ).
fof(f4368,plain,
! [X0] :
( aElementOf0(sdtasdt0(xb,xu),X0)
| ~ aElement0(xb)
| ~ sP0(xu,X0) ),
inference(superposition,[],[f318,f4349]) ).
fof(f4349,plain,
sdtasdt0(xu,xb) = sdtasdt0(xb,xu),
inference(resolution,[],[f1299,f355]) ).
fof(f4029,plain,
( spl32_63
| spl32_64 ),
inference(avatar_split_clause,[],[f4021,f4027,f4023]) ).
fof(f4023,plain,
( spl32_63
<=> aElement0(sdtasdt0(xa,sK11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_63])]) ).
fof(f4027,plain,
( spl32_64
<=> ! [X0] : ~ sP0(sK11,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_64])]) ).
fof(f4021,plain,
! [X0] :
( ~ sP0(sK11,X0)
| aElement0(sdtasdt0(xa,sK11)) ),
inference(subsumption_resolution,[],[f4020,f238]) ).
fof(f4020,plain,
! [X0] :
( ~ sP0(sK11,X0)
| aElement0(sdtasdt0(xa,sK11))
| ~ aSet0(X0) ),
inference(resolution,[],[f3641,f220]) ).
fof(f3641,plain,
! [X0] :
( aElementOf0(sdtasdt0(xa,sK11),X0)
| ~ sP0(sK11,X0) ),
inference(subsumption_resolution,[],[f3636,f201]) ).
fof(f201,plain,
aElement0(xa),
inference(cnf_transformation,[],[f39]) ).
fof(f3636,plain,
! [X0] :
( aElementOf0(sdtasdt0(xa,sK11),X0)
| ~ aElement0(xa)
| ~ sP0(sK11,X0) ),
inference(superposition,[],[f318,f3428]) ).
fof(f3428,plain,
sdtasdt0(xa,sK11) = sdtasdt0(sK11,xa),
inference(resolution,[],[f1298,f215]) ).
fof(f215,plain,
aElement0(sK11),
inference(cnf_transformation,[],[f132]) ).
fof(f1298,plain,
! [X0] :
( ~ aElement0(X0)
| sdtasdt0(xa,X0) = sdtasdt0(X0,xa) ),
inference(resolution,[],[f295,f201]) ).
fof(f3934,plain,
( spl32_61
| spl32_62 ),
inference(avatar_split_clause,[],[f3926,f3932,f3928]) ).
fof(f3928,plain,
( spl32_61
<=> aElement0(sdtasdt0(xa,sK10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_61])]) ).
fof(f3926,plain,
! [X0] :
( ~ sP0(sK10,X0)
| aElement0(sdtasdt0(xa,sK10)) ),
inference(subsumption_resolution,[],[f3925,f238]) ).
fof(f3925,plain,
! [X0] :
( ~ sP0(sK10,X0)
| aElement0(sdtasdt0(xa,sK10))
| ~ aSet0(X0) ),
inference(resolution,[],[f3491,f220]) ).
fof(f3491,plain,
! [X0] :
( aElementOf0(sdtasdt0(xa,sK10),X0)
| ~ sP0(sK10,X0) ),
inference(subsumption_resolution,[],[f3486,f201]) ).
fof(f3486,plain,
! [X0] :
( aElementOf0(sdtasdt0(xa,sK10),X0)
| ~ aElement0(xa)
| ~ sP0(sK10,X0) ),
inference(superposition,[],[f318,f3427]) ).
fof(f3427,plain,
sdtasdt0(xa,sK10) = sdtasdt0(sK10,xa),
inference(resolution,[],[f1298,f214]) ).
fof(f3872,plain,
( spl32_59
| spl32_60 ),
inference(avatar_split_clause,[],[f3864,f3870,f3866]) ).
fof(f3866,plain,
( spl32_59
<=> aElement0(sdtasdt0(xa,sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_59])]) ).
fof(f3864,plain,
! [X0] :
( ~ sP0(sK9,X0)
| aElement0(sdtasdt0(xa,sK9)) ),
inference(subsumption_resolution,[],[f3863,f238]) ).
fof(f3863,plain,
! [X0] :
( ~ sP0(sK9,X0)
| aElement0(sdtasdt0(xa,sK9))
| ~ aSet0(X0) ),
inference(resolution,[],[f3480,f220]) ).
fof(f3480,plain,
! [X0] :
( aElementOf0(sdtasdt0(xa,sK9),X0)
| ~ sP0(sK9,X0) ),
inference(subsumption_resolution,[],[f3475,f201]) ).
fof(f3475,plain,
! [X0] :
( aElementOf0(sdtasdt0(xa,sK9),X0)
| ~ aElement0(xa)
| ~ sP0(sK9,X0) ),
inference(superposition,[],[f318,f3426]) ).
fof(f3426,plain,
sdtasdt0(xa,sK9) = sdtasdt0(sK9,xa),
inference(resolution,[],[f1298,f356]) ).
fof(f3780,plain,
( spl32_57
| spl32_58 ),
inference(avatar_split_clause,[],[f3772,f3778,f3774]) ).
fof(f3774,plain,
( spl32_57
<=> aElement0(sdtasdt0(xa,xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_57])]) ).
fof(f3772,plain,
! [X0] :
( ~ sP0(xq,X0)
| aElement0(sdtasdt0(xa,xq)) ),
inference(subsumption_resolution,[],[f3771,f238]) ).
fof(f3771,plain,
! [X0] :
( ~ sP0(xq,X0)
| aElement0(sdtasdt0(xa,xq))
| ~ aSet0(X0) ),
inference(resolution,[],[f3469,f220]) ).
fof(f3469,plain,
! [X0] :
( aElementOf0(sdtasdt0(xa,xq),X0)
| ~ sP0(xq,X0) ),
inference(subsumption_resolution,[],[f3464,f201]) ).
fof(f3464,plain,
! [X0] :
( aElementOf0(sdtasdt0(xa,xq),X0)
| ~ aElement0(xa)
| ~ sP0(xq,X0) ),
inference(superposition,[],[f318,f3424]) ).
fof(f3424,plain,
sdtasdt0(xa,xq) = sdtasdt0(xq,xa),
inference(resolution,[],[f1298,f197]) ).
fof(f3719,plain,
( spl32_55
| spl32_56 ),
inference(avatar_split_clause,[],[f3707,f3717,f3713]) ).
fof(f3713,plain,
( spl32_55
<=> aElement0(sdtasdt0(xa,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_55])]) ).
fof(f3707,plain,
! [X0] :
( ~ sP0(xu,X0)
| aElement0(sdtasdt0(xa,xu)) ),
inference(subsumption_resolution,[],[f3706,f238]) ).
fof(f3706,plain,
! [X0] :
( ~ sP0(xu,X0)
| aElement0(sdtasdt0(xa,xu))
| ~ aSet0(X0) ),
inference(resolution,[],[f3458,f220]) ).
fof(f3458,plain,
! [X0] :
( aElementOf0(sdtasdt0(xa,xu),X0)
| ~ sP0(xu,X0) ),
inference(subsumption_resolution,[],[f3453,f201]) ).
fof(f3453,plain,
! [X0] :
( aElementOf0(sdtasdt0(xa,xu),X0)
| ~ aElement0(xa)
| ~ sP0(xu,X0) ),
inference(superposition,[],[f318,f3423]) ).
fof(f3423,plain,
sdtasdt0(xa,xu) = sdtasdt0(xu,xa),
inference(resolution,[],[f1298,f355]) ).
fof(f3654,plain,
( spl32_53
| spl32_54 ),
inference(avatar_split_clause,[],[f3646,f3652,f3648]) ).
fof(f3648,plain,
( spl32_53
<=> aElement0(sdtasdt0(xa,xb)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_53])]) ).
fof(f3652,plain,
( spl32_54
<=> ! [X0] : ~ sP0(xb,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_54])]) ).
fof(f3646,plain,
! [X0] :
( ~ sP0(xb,X0)
| aElement0(sdtasdt0(xa,xb)) ),
inference(subsumption_resolution,[],[f3645,f238]) ).
fof(f3645,plain,
! [X0] :
( ~ sP0(xb,X0)
| aElement0(sdtasdt0(xa,xb))
| ~ aSet0(X0) ),
inference(resolution,[],[f3447,f220]) ).
fof(f3447,plain,
! [X0] :
( aElementOf0(sdtasdt0(xa,xb),X0)
| ~ sP0(xb,X0) ),
inference(subsumption_resolution,[],[f3442,f201]) ).
fof(f3442,plain,
! [X0] :
( aElementOf0(sdtasdt0(xa,xb),X0)
| ~ aElement0(xa)
| ~ sP0(xb,X0) ),
inference(superposition,[],[f318,f3422]) ).
fof(f3422,plain,
sdtasdt0(xa,xb) = sdtasdt0(xb,xa),
inference(resolution,[],[f1298,f202]) ).
fof(f2964,plain,
( ~ spl32_33
| spl32_51 ),
inference(avatar_contradiction_clause,[],[f2963]) ).
fof(f2963,plain,
( $false
| ~ spl32_33
| spl32_51 ),
inference(subsumption_resolution,[],[f2962,f1829]) ).
fof(f1829,plain,
( aElement0(smndt0(sz10))
| ~ spl32_33 ),
inference(avatar_component_clause,[],[f1828]) ).
fof(f1828,plain,
( spl32_33
<=> aElement0(smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_33])]) ).
fof(f2962,plain,
( ~ aElement0(smndt0(sz10))
| spl32_51 ),
inference(resolution,[],[f2956,f245]) ).
fof(f245,plain,
! [X0] :
( sP1(X0)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0] :
( sP1(X0)
| ~ aElement0(X0) ),
inference(definition_folding,[],[f74,f115,f114]) ).
fof(f74,plain,
! [X0] :
( ! [X1] :
( slsdtgt0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) ) )
& aSet0(X1) ) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( slsdtgt0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) ) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefPrIdeal) ).
fof(f2956,plain,
( ~ sP1(smndt0(sz10))
| spl32_51 ),
inference(avatar_component_clause,[],[f2954]) ).
fof(f2954,plain,
( spl32_51
<=> sP1(smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_51])]) ).
fof(f2961,plain,
( ~ spl32_51
| spl32_52 ),
inference(avatar_split_clause,[],[f1438,f2958,f2954]) ).
fof(f2958,plain,
( spl32_52
<=> aElementOf0(sz00,slsdtgt0(smndt0(sz10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_52])]) ).
fof(f1438,plain,
( aElementOf0(sz00,slsdtgt0(smndt0(sz10)))
| ~ sP1(smndt0(sz10)) ),
inference(resolution,[],[f983,f317]) ).
fof(f983,plain,
! [X0] :
( ~ sP0(smndt0(sz10),X0)
| aElementOf0(sz00,X0) ),
inference(subsumption_resolution,[],[f908,f218]) ).
fof(f218,plain,
aElement0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
aElement0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).
fof(f908,plain,
! [X0] :
( aElementOf0(sz00,X0)
| ~ aElement0(sz00)
| ~ sP0(smndt0(sz10),X0) ),
inference(superposition,[],[f318,f556]) ).
fof(f556,plain,
sz00 = sdtasdt0(smndt0(sz10),sz00),
inference(resolution,[],[f359,f217]) ).
fof(f217,plain,
aElement0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
aElement0(sz10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC_01) ).
fof(f359,plain,
! [X0] :
( ~ aElement0(X0)
| sz00 = sdtasdt0(smndt0(X0),sz00) ),
inference(resolution,[],[f223,f222]) ).
fof(f222,plain,
! [X0] :
( aElement0(smndt0(X0))
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0] :
( aElement0(smndt0(X0))
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( aElement0(X0)
=> aElement0(smndt0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsU) ).
fof(f223,plain,
! [X0] :
( ~ aElement0(X0)
| sz00 = sdtasdt0(X0,sz00) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0] :
( ( sz00 = sdtasdt0(sz00,X0)
& sz00 = sdtasdt0(X0,sz00) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] :
( aElement0(X0)
=> ( sz00 = sdtasdt0(sz00,X0)
& sz00 = sdtasdt0(X0,sz00) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulZero) ).
fof(f2741,plain,
( spl32_49
| ~ spl32_50
| spl32_1
| ~ spl32_33 ),
inference(avatar_split_clause,[],[f2359,f1828,f329,f2738,f2734]) ).
fof(f2734,plain,
( spl32_49
<=> sz00 = smndt0(sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_49])]) ).
fof(f2738,plain,
( spl32_50
<=> sz00 = smndt0(xa) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_50])]) ).
fof(f329,plain,
( spl32_1
<=> sz00 = xa ),
introduced(avatar_definition,[new_symbols(naming,[spl32_1])]) ).
fof(f2359,plain,
( sz00 != smndt0(xa)
| sz00 = smndt0(sz10)
| spl32_1
| ~ spl32_33 ),
inference(subsumption_resolution,[],[f2358,f201]) ).
fof(f2358,plain,
( sz00 != smndt0(xa)
| sz00 = smndt0(sz10)
| ~ aElement0(xa)
| spl32_1
| ~ spl32_33 ),
inference(subsumption_resolution,[],[f2357,f1829]) ).
fof(f2357,plain,
( sz00 != smndt0(xa)
| sz00 = smndt0(sz10)
| ~ aElement0(smndt0(sz10))
| ~ aElement0(xa)
| spl32_1 ),
inference(subsumption_resolution,[],[f2316,f331]) ).
fof(f331,plain,
( sz00 != xa
| spl32_1 ),
inference(avatar_component_clause,[],[f329]) ).
fof(f2316,plain,
( sz00 != smndt0(xa)
| sz00 = xa
| sz00 = smndt0(sz10)
| ~ aElement0(smndt0(sz10))
| ~ aElement0(xa) ),
inference(superposition,[],[f296,f634]) ).
fof(f634,plain,
smndt0(xa) = sdtasdt0(xa,smndt0(sz10)),
inference(resolution,[],[f232,f201]) ).
fof(f232,plain,
! [X0] :
( ~ aElement0(X0)
| smndt0(X0) = sdtasdt0(X0,smndt0(sz10)) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0] :
( ( smndt0(X0) = sdtasdt0(X0,smndt0(sz10))
& smndt0(X0) = sdtasdt0(smndt0(sz10),X0) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( aElement0(X0)
=> ( smndt0(X0) = sdtasdt0(X0,smndt0(sz10))
& smndt0(X0) = sdtasdt0(smndt0(sz10),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulMnOne) ).
fof(f296,plain,
! [X0,X1] :
( sz00 != sdtasdt0(X0,X1)
| sz00 = X0
| sz00 = X1
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0,X1] :
( sz00 = X1
| sz00 = X0
| sz00 != sdtasdt0(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f98]) ).
fof(f98,plain,
! [X0,X1] :
( sz00 = X1
| sz00 = X0
| sz00 != sdtasdt0(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> ( sz00 = sdtasdt0(X0,X1)
=> ( sz00 = X1
| sz00 = X0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCancel) ).
fof(f2198,plain,
spl32_47,
inference(avatar_contradiction_clause,[],[f2197]) ).
fof(f2197,plain,
( $false
| spl32_47 ),
inference(subsumption_resolution,[],[f2196,f215]) ).
fof(f2196,plain,
( ~ aElement0(sK11)
| spl32_47 ),
inference(resolution,[],[f2190,f222]) ).
fof(f2190,plain,
( ~ aElement0(smndt0(sK11))
| spl32_47 ),
inference(avatar_component_clause,[],[f2188]) ).
fof(f2188,plain,
( spl32_47
<=> aElement0(smndt0(sK11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_47])]) ).
fof(f2195,plain,
( ~ spl32_47
| spl32_48 ),
inference(avatar_split_clause,[],[f1721,f2192,f2188]) ).
fof(f2192,plain,
( spl32_48
<=> doDivides0(smndt0(sK11),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_48])]) ).
fof(f1721,plain,
( doDivides0(smndt0(sK11),sz00)
| ~ aElement0(smndt0(sK11)) ),
inference(subsumption_resolution,[],[f1642,f218]) ).
fof(f1642,plain,
( doDivides0(smndt0(sK11),sz00)
| ~ aElement0(sz00)
| ~ aElement0(smndt0(sK11)) ),
inference(superposition,[],[f1613,f567]) ).
fof(f567,plain,
sz00 = sdtasdt0(smndt0(sK11),sz00),
inference(resolution,[],[f359,f215]) ).
fof(f2162,plain,
spl32_45,
inference(avatar_contradiction_clause,[],[f2161]) ).
fof(f2161,plain,
( $false
| spl32_45 ),
inference(subsumption_resolution,[],[f2160,f214]) ).
fof(f2160,plain,
( ~ aElement0(sK10)
| spl32_45 ),
inference(resolution,[],[f2154,f222]) ).
fof(f2154,plain,
( ~ aElement0(smndt0(sK10))
| spl32_45 ),
inference(avatar_component_clause,[],[f2152]) ).
fof(f2152,plain,
( spl32_45
<=> aElement0(smndt0(sK10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_45])]) ).
fof(f2159,plain,
( ~ spl32_45
| spl32_46 ),
inference(avatar_split_clause,[],[f1720,f2156,f2152]) ).
fof(f2156,plain,
( spl32_46
<=> doDivides0(smndt0(sK10),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_46])]) ).
fof(f1720,plain,
( doDivides0(smndt0(sK10),sz00)
| ~ aElement0(smndt0(sK10)) ),
inference(subsumption_resolution,[],[f1641,f218]) ).
fof(f1641,plain,
( doDivides0(smndt0(sK10),sz00)
| ~ aElement0(sz00)
| ~ aElement0(smndt0(sK10)) ),
inference(superposition,[],[f1613,f566]) ).
fof(f566,plain,
sz00 = sdtasdt0(smndt0(sK10),sz00),
inference(resolution,[],[f359,f214]) ).
fof(f2126,plain,
spl32_43,
inference(avatar_contradiction_clause,[],[f2125]) ).
fof(f2125,plain,
( $false
| spl32_43 ),
inference(subsumption_resolution,[],[f2124,f356]) ).
fof(f2124,plain,
( ~ aElement0(sK9)
| spl32_43 ),
inference(resolution,[],[f2118,f222]) ).
fof(f2118,plain,
( ~ aElement0(smndt0(sK9))
| spl32_43 ),
inference(avatar_component_clause,[],[f2116]) ).
fof(f2116,plain,
( spl32_43
<=> aElement0(smndt0(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_43])]) ).
fof(f2123,plain,
( ~ spl32_43
| spl32_44 ),
inference(avatar_split_clause,[],[f1719,f2120,f2116]) ).
fof(f2120,plain,
( spl32_44
<=> doDivides0(smndt0(sK9),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_44])]) ).
fof(f1719,plain,
( doDivides0(smndt0(sK9),sz00)
| ~ aElement0(smndt0(sK9)) ),
inference(subsumption_resolution,[],[f1640,f218]) ).
fof(f1640,plain,
( doDivides0(smndt0(sK9),sz00)
| ~ aElement0(sz00)
| ~ aElement0(smndt0(sK9)) ),
inference(superposition,[],[f1613,f565]) ).
fof(f565,plain,
sz00 = sdtasdt0(smndt0(sK9),sz00),
inference(resolution,[],[f359,f356]) ).
fof(f2090,plain,
spl32_41,
inference(avatar_contradiction_clause,[],[f2089]) ).
fof(f2089,plain,
( $false
| spl32_41 ),
inference(subsumption_resolution,[],[f2088,f197]) ).
fof(f2088,plain,
( ~ aElement0(xq)
| spl32_41 ),
inference(resolution,[],[f2082,f222]) ).
fof(f2082,plain,
( ~ aElement0(smndt0(xq))
| spl32_41 ),
inference(avatar_component_clause,[],[f2080]) ).
fof(f2080,plain,
( spl32_41
<=> aElement0(smndt0(xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_41])]) ).
fof(f2087,plain,
( ~ spl32_41
| spl32_42 ),
inference(avatar_split_clause,[],[f1718,f2084,f2080]) ).
fof(f2084,plain,
( spl32_42
<=> doDivides0(smndt0(xq),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_42])]) ).
fof(f1718,plain,
( doDivides0(smndt0(xq),sz00)
| ~ aElement0(smndt0(xq)) ),
inference(subsumption_resolution,[],[f1639,f218]) ).
fof(f1639,plain,
( doDivides0(smndt0(xq),sz00)
| ~ aElement0(sz00)
| ~ aElement0(smndt0(xq)) ),
inference(superposition,[],[f1613,f563]) ).
fof(f563,plain,
sz00 = sdtasdt0(smndt0(xq),sz00),
inference(resolution,[],[f359,f197]) ).
fof(f2054,plain,
spl32_39,
inference(avatar_contradiction_clause,[],[f2053]) ).
fof(f2053,plain,
( $false
| spl32_39 ),
inference(subsumption_resolution,[],[f2052,f355]) ).
fof(f2052,plain,
( ~ aElement0(xu)
| spl32_39 ),
inference(resolution,[],[f2046,f222]) ).
fof(f2046,plain,
( ~ aElement0(smndt0(xu))
| spl32_39 ),
inference(avatar_component_clause,[],[f2044]) ).
fof(f2044,plain,
( spl32_39
<=> aElement0(smndt0(xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_39])]) ).
fof(f2051,plain,
( ~ spl32_39
| spl32_40 ),
inference(avatar_split_clause,[],[f1717,f2048,f2044]) ).
fof(f2048,plain,
( spl32_40
<=> doDivides0(smndt0(xu),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_40])]) ).
fof(f1717,plain,
( doDivides0(smndt0(xu),sz00)
| ~ aElement0(smndt0(xu)) ),
inference(subsumption_resolution,[],[f1638,f218]) ).
fof(f1638,plain,
( doDivides0(smndt0(xu),sz00)
| ~ aElement0(sz00)
| ~ aElement0(smndt0(xu)) ),
inference(superposition,[],[f1613,f562]) ).
fof(f562,plain,
sz00 = sdtasdt0(smndt0(xu),sz00),
inference(resolution,[],[f359,f355]) ).
fof(f2016,plain,
spl32_37,
inference(avatar_contradiction_clause,[],[f2015]) ).
fof(f2015,plain,
( $false
| spl32_37 ),
inference(subsumption_resolution,[],[f2014,f202]) ).
fof(f2014,plain,
( ~ aElement0(xb)
| spl32_37 ),
inference(resolution,[],[f2008,f222]) ).
fof(f2008,plain,
( ~ aElement0(smndt0(xb))
| spl32_37 ),
inference(avatar_component_clause,[],[f2006]) ).
fof(f2006,plain,
( spl32_37
<=> aElement0(smndt0(xb)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_37])]) ).
fof(f2013,plain,
( ~ spl32_37
| spl32_38 ),
inference(avatar_split_clause,[],[f1716,f2010,f2006]) ).
fof(f2010,plain,
( spl32_38
<=> doDivides0(smndt0(xb),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_38])]) ).
fof(f1716,plain,
( doDivides0(smndt0(xb),sz00)
| ~ aElement0(smndt0(xb)) ),
inference(subsumption_resolution,[],[f1637,f218]) ).
fof(f1637,plain,
( doDivides0(smndt0(xb),sz00)
| ~ aElement0(sz00)
| ~ aElement0(smndt0(xb)) ),
inference(superposition,[],[f1613,f561]) ).
fof(f561,plain,
sz00 = sdtasdt0(smndt0(xb),sz00),
inference(resolution,[],[f359,f202]) ).
fof(f1980,plain,
spl32_35,
inference(avatar_contradiction_clause,[],[f1979]) ).
fof(f1979,plain,
( $false
| spl32_35 ),
inference(subsumption_resolution,[],[f1978,f201]) ).
fof(f1978,plain,
( ~ aElement0(xa)
| spl32_35 ),
inference(resolution,[],[f1972,f222]) ).
fof(f1972,plain,
( ~ aElement0(smndt0(xa))
| spl32_35 ),
inference(avatar_component_clause,[],[f1970]) ).
fof(f1970,plain,
( spl32_35
<=> aElement0(smndt0(xa)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_35])]) ).
fof(f1977,plain,
( ~ spl32_35
| spl32_36 ),
inference(avatar_split_clause,[],[f1715,f1974,f1970]) ).
fof(f1974,plain,
( spl32_36
<=> doDivides0(smndt0(xa),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_36])]) ).
fof(f1715,plain,
( doDivides0(smndt0(xa),sz00)
| ~ aElement0(smndt0(xa)) ),
inference(subsumption_resolution,[],[f1636,f218]) ).
fof(f1636,plain,
( doDivides0(smndt0(xa),sz00)
| ~ aElement0(sz00)
| ~ aElement0(smndt0(xa)) ),
inference(superposition,[],[f1613,f560]) ).
fof(f560,plain,
sz00 = sdtasdt0(smndt0(xa),sz00),
inference(resolution,[],[f359,f201]) ).
fof(f1838,plain,
spl32_33,
inference(avatar_contradiction_clause,[],[f1837]) ).
fof(f1837,plain,
( $false
| spl32_33 ),
inference(subsumption_resolution,[],[f1836,f217]) ).
fof(f1836,plain,
( ~ aElement0(sz10)
| spl32_33 ),
inference(resolution,[],[f1830,f222]) ).
fof(f1830,plain,
( ~ aElement0(smndt0(sz10))
| spl32_33 ),
inference(avatar_component_clause,[],[f1828]) ).
fof(f1835,plain,
( ~ spl32_33
| spl32_34 ),
inference(avatar_split_clause,[],[f1781,f1832,f1828]) ).
fof(f1832,plain,
( spl32_34
<=> doDivides0(xa,smndt0(xa)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_34])]) ).
fof(f1781,plain,
( doDivides0(xa,smndt0(xa))
| ~ aElement0(smndt0(sz10)) ),
inference(subsumption_resolution,[],[f1677,f201]) ).
fof(f1677,plain,
( doDivides0(xa,smndt0(xa))
| ~ aElement0(smndt0(sz10))
| ~ aElement0(xa) ),
inference(superposition,[],[f1613,f634]) ).
fof(f1630,plain,
spl32_31,
inference(avatar_contradiction_clause,[],[f1629]) ).
fof(f1629,plain,
( $false
| spl32_31 ),
inference(subsumption_resolution,[],[f1628,f215]) ).
fof(f1628,plain,
( ~ aElement0(sK11)
| spl32_31 ),
inference(resolution,[],[f1627,f222]) ).
fof(f1627,plain,
( ~ aElement0(smndt0(sK11))
| spl32_31 ),
inference(resolution,[],[f1621,f245]) ).
fof(f1621,plain,
( ~ sP1(smndt0(sK11))
| spl32_31 ),
inference(avatar_component_clause,[],[f1619]) ).
fof(f1619,plain,
( spl32_31
<=> sP1(smndt0(sK11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_31])]) ).
fof(f1626,plain,
( ~ spl32_31
| spl32_32 ),
inference(avatar_split_clause,[],[f1435,f1623,f1619]) ).
fof(f1623,plain,
( spl32_32
<=> aElementOf0(sz00,slsdtgt0(smndt0(sK11))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_32])]) ).
fof(f1435,plain,
( aElementOf0(sz00,slsdtgt0(smndt0(sK11)))
| ~ sP1(smndt0(sK11)) ),
inference(resolution,[],[f990,f317]) ).
fof(f990,plain,
! [X0] :
( ~ sP0(smndt0(sK11),X0)
| aElementOf0(sz00,X0) ),
inference(subsumption_resolution,[],[f915,f218]) ).
fof(f915,plain,
! [X0] :
( aElementOf0(sz00,X0)
| ~ aElement0(sz00)
| ~ sP0(smndt0(sK11),X0) ),
inference(superposition,[],[f318,f567]) ).
fof(f1616,plain,
spl32_29,
inference(avatar_contradiction_clause,[],[f1615]) ).
fof(f1615,plain,
( $false
| spl32_29 ),
inference(subsumption_resolution,[],[f1614,f214]) ).
fof(f1614,plain,
( ~ aElement0(sK10)
| spl32_29 ),
inference(resolution,[],[f1612,f222]) ).
fof(f1612,plain,
( ~ aElement0(smndt0(sK10))
| spl32_29 ),
inference(resolution,[],[f1606,f245]) ).
fof(f1606,plain,
( ~ sP1(smndt0(sK10))
| spl32_29 ),
inference(avatar_component_clause,[],[f1604]) ).
fof(f1604,plain,
( spl32_29
<=> sP1(smndt0(sK10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_29])]) ).
fof(f1611,plain,
( ~ spl32_29
| spl32_30 ),
inference(avatar_split_clause,[],[f1434,f1608,f1604]) ).
fof(f1608,plain,
( spl32_30
<=> aElementOf0(sz00,slsdtgt0(smndt0(sK10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_30])]) ).
fof(f1434,plain,
( aElementOf0(sz00,slsdtgt0(smndt0(sK10)))
| ~ sP1(smndt0(sK10)) ),
inference(resolution,[],[f989,f317]) ).
fof(f989,plain,
! [X0] :
( ~ sP0(smndt0(sK10),X0)
| aElementOf0(sz00,X0) ),
inference(subsumption_resolution,[],[f914,f218]) ).
fof(f914,plain,
! [X0] :
( aElementOf0(sz00,X0)
| ~ aElement0(sz00)
| ~ sP0(smndt0(sK10),X0) ),
inference(superposition,[],[f318,f566]) ).
fof(f1601,plain,
spl32_27,
inference(avatar_contradiction_clause,[],[f1600]) ).
fof(f1600,plain,
( $false
| spl32_27 ),
inference(subsumption_resolution,[],[f1599,f356]) ).
fof(f1599,plain,
( ~ aElement0(sK9)
| spl32_27 ),
inference(resolution,[],[f1598,f222]) ).
fof(f1598,plain,
( ~ aElement0(smndt0(sK9))
| spl32_27 ),
inference(resolution,[],[f1592,f245]) ).
fof(f1592,plain,
( ~ sP1(smndt0(sK9))
| spl32_27 ),
inference(avatar_component_clause,[],[f1590]) ).
fof(f1590,plain,
( spl32_27
<=> sP1(smndt0(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_27])]) ).
fof(f1597,plain,
( ~ spl32_27
| spl32_28 ),
inference(avatar_split_clause,[],[f1433,f1594,f1590]) ).
fof(f1594,plain,
( spl32_28
<=> aElementOf0(sz00,slsdtgt0(smndt0(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_28])]) ).
fof(f1433,plain,
( aElementOf0(sz00,slsdtgt0(smndt0(sK9)))
| ~ sP1(smndt0(sK9)) ),
inference(resolution,[],[f988,f317]) ).
fof(f988,plain,
! [X0] :
( ~ sP0(smndt0(sK9),X0)
| aElementOf0(sz00,X0) ),
inference(subsumption_resolution,[],[f913,f218]) ).
fof(f913,plain,
! [X0] :
( aElementOf0(sz00,X0)
| ~ aElement0(sz00)
| ~ sP0(smndt0(sK9),X0) ),
inference(superposition,[],[f318,f565]) ).
fof(f1587,plain,
spl32_25,
inference(avatar_contradiction_clause,[],[f1586]) ).
fof(f1586,plain,
( $false
| spl32_25 ),
inference(subsumption_resolution,[],[f1585,f197]) ).
fof(f1585,plain,
( ~ aElement0(xq)
| spl32_25 ),
inference(resolution,[],[f1584,f222]) ).
fof(f1584,plain,
( ~ aElement0(smndt0(xq))
| spl32_25 ),
inference(resolution,[],[f1577,f245]) ).
fof(f1577,plain,
( ~ sP1(smndt0(xq))
| spl32_25 ),
inference(avatar_component_clause,[],[f1575]) ).
fof(f1575,plain,
( spl32_25
<=> sP1(smndt0(xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_25])]) ).
fof(f1582,plain,
( ~ spl32_25
| spl32_26 ),
inference(avatar_split_clause,[],[f1432,f1579,f1575]) ).
fof(f1579,plain,
( spl32_26
<=> aElementOf0(sz00,slsdtgt0(smndt0(xq))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_26])]) ).
fof(f1432,plain,
( aElementOf0(sz00,slsdtgt0(smndt0(xq)))
| ~ sP1(smndt0(xq)) ),
inference(resolution,[],[f987,f317]) ).
fof(f987,plain,
! [X0] :
( ~ sP0(smndt0(xq),X0)
| aElementOf0(sz00,X0) ),
inference(subsumption_resolution,[],[f912,f218]) ).
fof(f912,plain,
! [X0] :
( aElementOf0(sz00,X0)
| ~ aElement0(sz00)
| ~ sP0(smndt0(xq),X0) ),
inference(superposition,[],[f318,f563]) ).
fof(f1572,plain,
spl32_23,
inference(avatar_contradiction_clause,[],[f1571]) ).
fof(f1571,plain,
( $false
| spl32_23 ),
inference(subsumption_resolution,[],[f1570,f355]) ).
fof(f1570,plain,
( ~ aElement0(xu)
| spl32_23 ),
inference(resolution,[],[f1569,f222]) ).
fof(f1569,plain,
( ~ aElement0(smndt0(xu))
| spl32_23 ),
inference(resolution,[],[f1563,f245]) ).
fof(f1563,plain,
( ~ sP1(smndt0(xu))
| spl32_23 ),
inference(avatar_component_clause,[],[f1561]) ).
fof(f1561,plain,
( spl32_23
<=> sP1(smndt0(xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_23])]) ).
fof(f1568,plain,
( ~ spl32_23
| spl32_24 ),
inference(avatar_split_clause,[],[f1431,f1565,f1561]) ).
fof(f1565,plain,
( spl32_24
<=> aElementOf0(sz00,slsdtgt0(smndt0(xu))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_24])]) ).
fof(f1431,plain,
( aElementOf0(sz00,slsdtgt0(smndt0(xu)))
| ~ sP1(smndt0(xu)) ),
inference(resolution,[],[f986,f317]) ).
fof(f986,plain,
! [X0] :
( ~ sP0(smndt0(xu),X0)
| aElementOf0(sz00,X0) ),
inference(subsumption_resolution,[],[f911,f218]) ).
fof(f911,plain,
! [X0] :
( aElementOf0(sz00,X0)
| ~ aElement0(sz00)
| ~ sP0(smndt0(xu),X0) ),
inference(superposition,[],[f318,f562]) ).
fof(f1558,plain,
spl32_21,
inference(avatar_contradiction_clause,[],[f1557]) ).
fof(f1557,plain,
( $false
| spl32_21 ),
inference(subsumption_resolution,[],[f1556,f202]) ).
fof(f1556,plain,
( ~ aElement0(xb)
| spl32_21 ),
inference(resolution,[],[f1555,f222]) ).
fof(f1555,plain,
( ~ aElement0(smndt0(xb))
| spl32_21 ),
inference(resolution,[],[f1549,f245]) ).
fof(f1549,plain,
( ~ sP1(smndt0(xb))
| spl32_21 ),
inference(avatar_component_clause,[],[f1547]) ).
fof(f1547,plain,
( spl32_21
<=> sP1(smndt0(xb)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_21])]) ).
fof(f1554,plain,
( ~ spl32_21
| spl32_22 ),
inference(avatar_split_clause,[],[f1430,f1551,f1547]) ).
fof(f1551,plain,
( spl32_22
<=> aElementOf0(sz00,slsdtgt0(smndt0(xb))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_22])]) ).
fof(f1430,plain,
( aElementOf0(sz00,slsdtgt0(smndt0(xb)))
| ~ sP1(smndt0(xb)) ),
inference(resolution,[],[f985,f317]) ).
fof(f985,plain,
! [X0] :
( ~ sP0(smndt0(xb),X0)
| aElementOf0(sz00,X0) ),
inference(subsumption_resolution,[],[f910,f218]) ).
fof(f910,plain,
! [X0] :
( aElementOf0(sz00,X0)
| ~ aElement0(sz00)
| ~ sP0(smndt0(xb),X0) ),
inference(superposition,[],[f318,f561]) ).
fof(f1525,plain,
spl32_19,
inference(avatar_contradiction_clause,[],[f1524]) ).
fof(f1524,plain,
( $false
| spl32_19 ),
inference(subsumption_resolution,[],[f1523,f201]) ).
fof(f1523,plain,
( ~ aElement0(xa)
| spl32_19 ),
inference(resolution,[],[f1522,f222]) ).
fof(f1522,plain,
( ~ aElement0(smndt0(xa))
| spl32_19 ),
inference(resolution,[],[f1516,f245]) ).
fof(f1516,plain,
( ~ sP1(smndt0(xa))
| spl32_19 ),
inference(avatar_component_clause,[],[f1514]) ).
fof(f1514,plain,
( spl32_19
<=> sP1(smndt0(xa)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_19])]) ).
fof(f1521,plain,
( ~ spl32_19
| spl32_20 ),
inference(avatar_split_clause,[],[f1429,f1518,f1514]) ).
fof(f1518,plain,
( spl32_20
<=> aElementOf0(sz00,slsdtgt0(smndt0(xa))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_20])]) ).
fof(f1429,plain,
( aElementOf0(sz00,slsdtgt0(smndt0(xa)))
| ~ sP1(smndt0(xa)) ),
inference(resolution,[],[f984,f317]) ).
fof(f984,plain,
! [X0] :
( ~ sP0(smndt0(xa),X0)
| aElementOf0(sz00,X0) ),
inference(subsumption_resolution,[],[f909,f218]) ).
fof(f909,plain,
! [X0] :
( aElementOf0(sz00,X0)
| ~ aElement0(sz00)
| ~ sP0(smndt0(xa),X0) ),
inference(superposition,[],[f318,f560]) ).
fof(f1339,plain,
spl32_17,
inference(avatar_contradiction_clause,[],[f1338]) ).
fof(f1338,plain,
( $false
| spl32_17 ),
inference(subsumption_resolution,[],[f1337,f356]) ).
fof(f1337,plain,
( ~ aElement0(sK9)
| spl32_17 ),
inference(resolution,[],[f1331,f245]) ).
fof(f1331,plain,
( ~ sP1(sK9)
| spl32_17 ),
inference(avatar_component_clause,[],[f1329]) ).
fof(f1336,plain,
( ~ spl32_17
| spl32_18 ),
inference(avatar_split_clause,[],[f1159,f1333,f1329]) ).
fof(f1333,plain,
( spl32_18
<=> aElementOf0(sz00,slsdtgt0(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_18])]) ).
fof(f1159,plain,
( aElementOf0(sz00,slsdtgt0(sK9))
| ~ sP1(sK9) ),
inference(resolution,[],[f995,f317]) ).
fof(f995,plain,
! [X0] :
( ~ sP0(sK9,X0)
| aElementOf0(sz00,X0) ),
inference(subsumption_resolution,[],[f920,f218]) ).
fof(f920,plain,
! [X0] :
( aElementOf0(sz00,X0)
| ~ aElement0(sz00)
| ~ sP0(sK9,X0) ),
inference(superposition,[],[f318,f365]) ).
fof(f365,plain,
sz00 = sdtasdt0(sK9,sz00),
inference(resolution,[],[f223,f356]) ).
fof(f1326,plain,
spl32_15,
inference(avatar_contradiction_clause,[],[f1325]) ).
fof(f1325,plain,
( $false
| spl32_15 ),
inference(subsumption_resolution,[],[f1324,f355]) ).
fof(f1324,plain,
( ~ aElement0(xu)
| spl32_15 ),
inference(resolution,[],[f1318,f245]) ).
fof(f1318,plain,
( ~ sP1(xu)
| spl32_15 ),
inference(avatar_component_clause,[],[f1316]) ).
fof(f1323,plain,
( ~ spl32_15
| spl32_16 ),
inference(avatar_split_clause,[],[f1158,f1320,f1316]) ).
fof(f1320,plain,
( spl32_16
<=> aElementOf0(sz00,slsdtgt0(xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_16])]) ).
fof(f1158,plain,
( aElementOf0(sz00,slsdtgt0(xu))
| ~ sP1(xu) ),
inference(resolution,[],[f993,f317]) ).
fof(f993,plain,
! [X0] :
( ~ sP0(xu,X0)
| aElementOf0(sz00,X0) ),
inference(subsumption_resolution,[],[f918,f218]) ).
fof(f918,plain,
! [X0] :
( aElementOf0(sz00,X0)
| ~ aElement0(sz00)
| ~ sP0(xu,X0) ),
inference(superposition,[],[f318,f362]) ).
fof(f362,plain,
sz00 = sdtasdt0(xu,sz00),
inference(resolution,[],[f223,f355]) ).
fof(f1265,plain,
spl32_13,
inference(avatar_contradiction_clause,[],[f1264]) ).
fof(f1264,plain,
( $false
| spl32_13 ),
inference(subsumption_resolution,[],[f1263,f217]) ).
fof(f1263,plain,
( ~ aElement0(sz10)
| spl32_13 ),
inference(resolution,[],[f1257,f245]) ).
fof(f1257,plain,
( ~ sP1(sz10)
| spl32_13 ),
inference(avatar_component_clause,[],[f1255]) ).
fof(f1255,plain,
( spl32_13
<=> sP1(sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_13])]) ).
fof(f1262,plain,
( ~ spl32_13
| spl32_14 ),
inference(avatar_split_clause,[],[f1071,f1259,f1255]) ).
fof(f1259,plain,
( spl32_14
<=> aElementOf0(xa,slsdtgt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_14])]) ).
fof(f1071,plain,
( aElementOf0(xa,slsdtgt0(sz10))
| ~ sP1(sz10) ),
inference(resolution,[],[f1026,f317]) ).
fof(f1026,plain,
! [X0] :
( ~ sP0(sz10,X0)
| aElementOf0(xa,X0) ),
inference(subsumption_resolution,[],[f958,f201]) ).
fof(f958,plain,
! [X0] :
( aElementOf0(xa,X0)
| ~ aElement0(xa)
| ~ sP0(sz10,X0) ),
inference(superposition,[],[f318,f420]) ).
fof(f420,plain,
xa = sdtasdt0(sz10,xa),
inference(resolution,[],[f228,f201]) ).
fof(f228,plain,
! [X0] :
( ~ aElement0(X0)
| sdtasdt0(sz10,X0) = X0 ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0] :
( ( sdtasdt0(sz10,X0) = X0
& sdtasdt0(X0,sz10) = X0 )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( aElement0(X0)
=> ( sdtasdt0(sz10,X0) = X0
& sdtasdt0(X0,sz10) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulUnit) ).
fof(f1231,plain,
spl32_11,
inference(avatar_contradiction_clause,[],[f1230]) ).
fof(f1230,plain,
( $false
| spl32_11 ),
inference(subsumption_resolution,[],[f1229,f215]) ).
fof(f1229,plain,
( ~ aElement0(sK11)
| spl32_11 ),
inference(resolution,[],[f1223,f245]) ).
fof(f1223,plain,
( ~ sP1(sK11)
| spl32_11 ),
inference(avatar_component_clause,[],[f1221]) ).
fof(f1221,plain,
( spl32_11
<=> sP1(sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_11])]) ).
fof(f1228,plain,
( ~ spl32_11
| spl32_12 ),
inference(avatar_split_clause,[],[f1065,f1225,f1221]) ).
fof(f1225,plain,
( spl32_12
<=> aElementOf0(sz00,slsdtgt0(sK11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_12])]) ).
fof(f1065,plain,
( aElementOf0(sz00,slsdtgt0(sK11))
| ~ sP1(sK11) ),
inference(resolution,[],[f997,f317]) ).
fof(f997,plain,
! [X0] :
( ~ sP0(sK11,X0)
| aElementOf0(sz00,X0) ),
inference(subsumption_resolution,[],[f922,f218]) ).
fof(f922,plain,
! [X0] :
( aElementOf0(sz00,X0)
| ~ aElement0(sz00)
| ~ sP0(sK11,X0) ),
inference(superposition,[],[f318,f367]) ).
fof(f367,plain,
sz00 = sdtasdt0(sK11,sz00),
inference(resolution,[],[f223,f215]) ).
fof(f1218,plain,
spl32_9,
inference(avatar_contradiction_clause,[],[f1217]) ).
fof(f1217,plain,
( $false
| spl32_9 ),
inference(subsumption_resolution,[],[f1216,f214]) ).
fof(f1216,plain,
( ~ aElement0(sK10)
| spl32_9 ),
inference(resolution,[],[f1210,f245]) ).
fof(f1210,plain,
( ~ sP1(sK10)
| spl32_9 ),
inference(avatar_component_clause,[],[f1208]) ).
fof(f1215,plain,
( ~ spl32_9
| spl32_10 ),
inference(avatar_split_clause,[],[f1063,f1212,f1208]) ).
fof(f1212,plain,
( spl32_10
<=> aElementOf0(sz00,slsdtgt0(sK10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_10])]) ).
fof(f1063,plain,
( aElementOf0(sz00,slsdtgt0(sK10))
| ~ sP1(sK10) ),
inference(resolution,[],[f996,f317]) ).
fof(f996,plain,
! [X0] :
( ~ sP0(sK10,X0)
| aElementOf0(sz00,X0) ),
inference(subsumption_resolution,[],[f921,f218]) ).
fof(f921,plain,
! [X0] :
( aElementOf0(sz00,X0)
| ~ aElement0(sz00)
| ~ sP0(sK10,X0) ),
inference(superposition,[],[f318,f366]) ).
fof(f366,plain,
sz00 = sdtasdt0(sK10,sz00),
inference(resolution,[],[f223,f214]) ).
fof(f1190,plain,
spl32_7,
inference(avatar_contradiction_clause,[],[f1189]) ).
fof(f1189,plain,
( $false
| spl32_7 ),
inference(subsumption_resolution,[],[f1188,f197]) ).
fof(f1188,plain,
( ~ aElement0(xq)
| spl32_7 ),
inference(resolution,[],[f1182,f245]) ).
fof(f1182,plain,
( ~ sP1(xq)
| spl32_7 ),
inference(avatar_component_clause,[],[f1180]) ).
fof(f1187,plain,
( ~ spl32_7
| spl32_8 ),
inference(avatar_split_clause,[],[f1062,f1184,f1180]) ).
fof(f1184,plain,
( spl32_8
<=> aElementOf0(sz00,slsdtgt0(xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_8])]) ).
fof(f1062,plain,
( aElementOf0(sz00,slsdtgt0(xq))
| ~ sP1(xq) ),
inference(resolution,[],[f994,f317]) ).
fof(f994,plain,
! [X0] :
( ~ sP0(xq,X0)
| aElementOf0(sz00,X0) ),
inference(subsumption_resolution,[],[f919,f218]) ).
fof(f919,plain,
! [X0] :
( aElementOf0(sz00,X0)
| ~ aElement0(sz00)
| ~ sP0(xq,X0) ),
inference(superposition,[],[f318,f363]) ).
fof(f363,plain,
sz00 = sdtasdt0(xq,sz00),
inference(resolution,[],[f223,f197]) ).
fof(f1058,plain,
spl32_5,
inference(avatar_contradiction_clause,[],[f1057]) ).
fof(f1057,plain,
( $false
| spl32_5 ),
inference(subsumption_resolution,[],[f1056,f218]) ).
fof(f1056,plain,
( ~ aElement0(sz00)
| spl32_5 ),
inference(resolution,[],[f1050,f245]) ).
fof(f1050,plain,
( ~ sP1(sz00)
| spl32_5 ),
inference(avatar_component_clause,[],[f1048]) ).
fof(f1048,plain,
( spl32_5
<=> sP1(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_5])]) ).
fof(f1055,plain,
( ~ spl32_5
| spl32_6 ),
inference(avatar_split_clause,[],[f1046,f1052,f1048]) ).
fof(f1052,plain,
( spl32_6
<=> aElementOf0(sz00,slsdtgt0(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_6])]) ).
fof(f1046,plain,
( aElementOf0(sz00,slsdtgt0(sz00))
| ~ sP1(sz00) ),
inference(resolution,[],[f979,f317]) ).
fof(f979,plain,
! [X0] :
( ~ sP0(sz00,X0)
| aElementOf0(sz00,X0) ),
inference(subsumption_resolution,[],[f905,f218]) ).
fof(f905,plain,
! [X0] :
( aElementOf0(sz00,X0)
| ~ aElement0(sz00)
| ~ sP0(sz00,X0) ),
inference(superposition,[],[f318,f368]) ).
fof(f368,plain,
sz00 = sdtasdt0(sz00,sz00),
inference(forward_demodulation,[],[f364,f191]) ).
fof(f364,plain,
sz00 = sdtasdt0(xr,sz00),
inference(resolution,[],[f223,f198]) ).
fof(f198,plain,
aElement0(xr),
inference(cnf_transformation,[],[f50]) ).
fof(f693,plain,
spl32_3,
inference(avatar_contradiction_clause,[],[f692]) ).
fof(f692,plain,
( $false
| spl32_3 ),
inference(subsumption_resolution,[],[f691,f201]) ).
fof(f691,plain,
( ~ aElement0(xa)
| spl32_3 ),
inference(subsumption_resolution,[],[f690,f355]) ).
fof(f690,plain,
( ~ aElement0(xu)
| ~ aElement0(xa)
| spl32_3 ),
inference(subsumption_resolution,[],[f684,f193]) ).
fof(f193,plain,
doDivides0(xu,xa),
inference(cnf_transformation,[],[f48]) ).
fof(f48,axiom,
doDivides0(xu,xa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2479) ).
fof(f684,plain,
( ~ doDivides0(xu,xa)
| ~ aElement0(xu)
| ~ aElement0(xa)
| spl32_3 ),
inference(resolution,[],[f235,f340]) ).
fof(f340,plain,
( ~ aDivisorOf0(xu,xa)
| spl32_3 ),
inference(avatar_component_clause,[],[f338]) ).
fof(f338,plain,
( spl32_3
<=> aDivisorOf0(xu,xa) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_3])]) ).
fof(f235,plain,
! [X0,X1] :
( aDivisorOf0(X1,X0)
| ~ doDivides0(X1,X0)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
! [X0] :
( ! [X1] :
( ( aDivisorOf0(X1,X0)
| ~ doDivides0(X1,X0)
| ~ aElement0(X1) )
& ( ( doDivides0(X1,X0)
& aElement0(X1) )
| ~ aDivisorOf0(X1,X0) ) )
| ~ aElement0(X0) ),
inference(flattening,[],[f133]) ).
fof(f133,plain,
! [X0] :
( ! [X1] :
( ( aDivisorOf0(X1,X0)
| ~ doDivides0(X1,X0)
| ~ aElement0(X1) )
& ( ( doDivides0(X1,X0)
& aElement0(X1) )
| ~ aDivisorOf0(X1,X0) ) )
| ~ aElement0(X0) ),
inference(nnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0] :
( ! [X1] :
( aDivisorOf0(X1,X0)
<=> ( doDivides0(X1,X0)
& aElement0(X1) ) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( aDivisorOf0(X1,X0)
<=> ( doDivides0(X1,X0)
& aElement0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDvs) ).
fof(f345,plain,
( ~ spl32_3
| ~ spl32_4 ),
inference(avatar_split_clause,[],[f211,f342,f338]) ).
fof(f342,plain,
( spl32_4
<=> aDivisorOf0(xu,xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_4])]) ).
fof(f211,plain,
( ~ aDivisorOf0(xu,xb)
| ~ aDivisorOf0(xu,xa) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
( ~ aDivisorOf0(xu,xb)
| ~ aDivisorOf0(xu,xa) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,axiom,
~ ( aDivisorOf0(xu,xb)
& aDivisorOf0(xu,xa) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2383) ).
fof(f336,plain,
( ~ spl32_1
| ~ spl32_2 ),
inference(avatar_split_clause,[],[f210,f333,f329]) ).
fof(f333,plain,
( spl32_2
<=> sz00 = xb ),
introduced(avatar_definition,[new_symbols(naming,[spl32_2])]) ).
fof(f210,plain,
( sz00 != xb
| sz00 != xa ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,axiom,
( sz00 != xb
| sz00 != xa ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2110) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : RNG119+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n010.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 18:15:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (22566)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (22570)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (22569)WARNING: value z3 for option sas not known
% 0.14/0.37 % (22567)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (22568)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (22569)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)
% 0.14/0.37 % (22571)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)
% 0.14/0.37 % (22573)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)
% 0.14/0.37 % (22572)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)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.39 TRYING [3]
% 0.14/0.39 TRYING [3]
% 0.21/0.44 TRYING [4]
% 0.21/0.46 TRYING [4]
% 1.85/0.62 % (22569)First to succeed.
% 1.85/0.62 % (22569)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-22566"
% 1.85/0.62 % (22569)Refutation found. Thanks to Tanya!
% 1.85/0.62 % SZS status Theorem for theBenchmark
% 1.85/0.62 % SZS output start Proof for theBenchmark
% See solution above
% 1.85/0.63 % (22569)------------------------------
% 1.85/0.63 % (22569)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.85/0.63 % (22569)Termination reason: Refutation
% 1.85/0.63
% 1.85/0.63 % (22569)Memory used [KB]: 3480
% 1.85/0.63 % (22569)Time elapsed: 0.250 s
% 1.85/0.63 % (22569)Instructions burned: 459 (million)
% 1.85/0.63 % (22566)Success in time 0.256 s
%------------------------------------------------------------------------------