%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG094+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:35:29 PM UTC 2026
% Result : Theorem 15.78s 3.12s
% Output : Refutation 16.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 37
% Syntax : Number of formulae : 296 ( 39 unt; 19 def)
% Number of atoms : 1076 ( 50 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 1469 ( 689 ~; 641 |; 83 &)
% ( 25 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 26 ( 24 usr; 20 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 6 con; 0-2 aty)
% Number of variables : 294 ( 0 sgn 279 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aElement0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).
fof(f3,axiom,
aElement0(sz10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC_01) ).
fof(f4,axiom,
! [X0] :
( aElement0(X0)
=> aElement0(smndt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsU) ).
fof(f5,axiom,
! [X0,X1] :
( ( aElement0(X0)
& aElement0(X1) )
=> aElement0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB) ).
fof(f7,axiom,
! [X0,X1] :
( ( aElement0(X0)
& aElement0(X1) )
=> sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddComm) ).
fof(f8,axiom,
! [X0,X1,X2] :
( ( aElement0(X0)
& aElement0(X1)
& aElement0(X2) )
=> sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddAsso) ).
fof(f9,axiom,
! [X0] :
( aElement0(X0)
=> ( sdtpldt0(X0,sz00) = X0
& X0 = sdtpldt0(sz00,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddZero) ).
fof(f10,axiom,
! [X0] :
( aElement0(X0)
=> ( sdtpldt0(X0,smndt0(X0)) = sz00
& sz00 = sdtpldt0(smndt0(X0),X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddInvr) ).
fof(f11,axiom,
! [X0,X1] :
( ( aElement0(X0)
& aElement0(X1) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).
fof(f15,axiom,
! [X0] :
( aElement0(X0)
=> ( sdtasdt0(smndt0(sz10),X0) = smndt0(X0)
& smndt0(X0) = sdtasdt0(X0,smndt0(sz10)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulMnOne) ).
fof(f16,axiom,
! [X0] :
( aElement0(X0)
=> ( sdtasdt0(X0,sz00) = sz00
& sz00 = sdtasdt0(sz00,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulZero) ).
fof(f20,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
fof(f24,axiom,
! [X0] :
( aIdeal0(X0)
<=> ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> ( ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(sdtpldt0(X1,X2),X0) )
& ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),X0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefIdeal) ).
fof(f27,axiom,
! [X0,X1,X2] :
( ( aElement0(X0)
& aElement0(X1)
& aIdeal0(X2) )
=> ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
<=> aElementOf0(sdtpldt0(X0,smndt0(X1)),X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefMod) ).
fof(f28,axiom,
( aSet0(xI)
& ! [X0] :
( aElementOf0(X0,xI)
=> ( ! [X1] :
( aElementOf0(X1,xI)
=> aElementOf0(sdtpldt0(X0,X1),xI) )
& ! [X1] :
( aElement0(X1)
=> aElementOf0(sdtasdt0(X1,X0),xI) ) ) )
& aIdeal0(xI)
& aSet0(xJ)
& ! [X0] :
( aElementOf0(X0,xJ)
=> ( ! [X1] :
( aElementOf0(X1,xJ)
=> aElementOf0(sdtpldt0(X0,X1),xJ) )
& ! [X1] :
( aElement0(X1)
=> aElementOf0(sdtasdt0(X1,X0),xJ) ) ) )
& aIdeal0(xJ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1205) ).
fof(f29,axiom,
! [X0] :
( aElement0(X0)
=> ( ? [X1,X2] :
( aElementOf0(X1,xI)
& aElementOf0(X2,xJ)
& sdtpldt0(X1,X2) = X0 )
& aElementOf0(X0,sdtpldt1(xI,xJ)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1205_03) ).
fof(f30,axiom,
( aElement0(xx)
& aElement0(xy) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1217) ).
fof(f31,conjecture,
? [X0] :
( aElement0(X0)
& ( aElementOf0(sdtpldt0(X0,smndt0(xx)),xI)
| sdteqdtlpzmzozddtrp0(X0,xx,xI) )
& ( aElementOf0(sdtpldt0(X0,smndt0(xy)),xJ)
| sdteqdtlpzmzozddtrp0(X0,xy,xJ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f32,negated_conjecture,
~ ? [X0] :
( aElement0(X0)
& ( aElementOf0(sdtpldt0(X0,smndt0(xx)),xI)
| sdteqdtlpzmzozddtrp0(X0,xx,xI) )
& ( aElementOf0(sdtpldt0(X0,smndt0(xy)),xJ)
| sdteqdtlpzmzozddtrp0(X0,xy,xJ) ) ),
inference(negated_conjecture,[status(cth)],[f31]) ).
fof(f33,plain,
( aSet0(xI)
& ! [X0] :
( aElementOf0(X0,xI)
=> ( ! [X1] :
( aElementOf0(X1,xI)
=> aElementOf0(sdtpldt0(X0,X1),xI) )
& ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X0),xI) ) ) )
& aIdeal0(xI)
& aSet0(xJ)
& ! [X3] :
( aElementOf0(X3,xJ)
=> ( ! [X4] :
( aElementOf0(X4,xJ)
=> aElementOf0(sdtpldt0(X3,X4),xJ) )
& ! [X5] :
( aElement0(X5)
=> aElementOf0(sdtasdt0(X5,X3),xJ) ) ) )
& aIdeal0(xJ) ),
inference(rectify,[],[f28]) ).
fof(f35,plain,
! [X0] :
( aIdeal0(X0)
<=> ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> ( ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(sdtpldt0(X1,X2),X0) )
& ! [X3] :
( aElement0(X3)
=> aElementOf0(sdtasdt0(X3,X1),X0) ) ) ) ) ),
inference(rectify,[],[f24]) ).
fof(f38,plain,
( aSet0(xI)
& ! [X0] :
( ( ! [X1] :
( aElementOf0(sdtpldt0(X0,X1),xI)
| ~ aElementOf0(X1,xI) )
& ! [X2] :
( aElementOf0(sdtasdt0(X2,X0),xI)
| ~ aElement0(X2) ) )
| ~ aElementOf0(X0,xI) )
& aIdeal0(xI)
& aSet0(xJ)
& ! [X3] :
( ( ! [X4] :
( aElementOf0(sdtpldt0(X3,X4),xJ)
| ~ aElementOf0(X4,xJ) )
& ! [X5] :
( aElementOf0(sdtasdt0(X5,X3),xJ)
| ~ aElement0(X5) ) )
| ~ aElementOf0(X3,xJ) )
& aIdeal0(xJ) ),
inference(ennf_transformation,[],[f33]) ).
fof(f39,plain,
! [X0] :
( ( ? [X1,X2] :
( aElementOf0(X1,xI)
& aElementOf0(X2,xJ)
& sdtpldt0(X1,X2) = X0 )
& aElementOf0(X0,sdtpldt1(xI,xJ)) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f40,plain,
! [X0] :
( ~ aElement0(X0)
| ( ~ aElementOf0(sdtpldt0(X0,smndt0(xx)),xI)
& ~ sdteqdtlpzmzozddtrp0(X0,xx,xI) )
| ( ~ aElementOf0(sdtpldt0(X0,smndt0(xy)),xJ)
& ~ sdteqdtlpzmzozddtrp0(X0,xy,xJ) ) ),
inference(ennf_transformation,[],[f32]) ).
fof(f41,plain,
! [X0] :
( aIdeal0(X0)
<=> ( aSet0(X0)
& ! [X1] :
( ( ! [X2] :
( aElementOf0(sdtpldt0(X1,X2),X0)
| ~ aElementOf0(X2,X0) )
& ! [X3] :
( aElementOf0(sdtasdt0(X3,X1),X0)
| ~ aElement0(X3) ) )
| ~ aElementOf0(X1,X0) ) ) ),
inference(ennf_transformation,[],[f35]) ).
fof(f48,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f49,plain,
! [X0,X1,X2] :
( ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
<=> aElementOf0(sdtpldt0(X0,smndt0(X1)),X2) )
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aIdeal0(X2) ),
inference(ennf_transformation,[],[f27]) ).
fof(f50,plain,
! [X0,X1,X2] :
( ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
<=> aElementOf0(sdtpldt0(X0,smndt0(X1)),X2) )
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aIdeal0(X2) ),
inference(flattening,[],[f49]) ).
fof(f53,plain,
! [X0] :
( ( sdtpldt0(X0,smndt0(X0)) = sz00
& sz00 = sdtpldt0(smndt0(X0),X0) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f54,plain,
! [X0] :
( ( sdtpldt0(X0,sz00) = X0
& X0 = sdtpldt0(sz00,X0) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f55,plain,
! [X0,X1,X2] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(ennf_transformation,[],[f8]) ).
fof(f56,plain,
! [X0,X1,X2] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(flattening,[],[f55]) ).
fof(f57,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f58,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(flattening,[],[f57]) ).
fof(f59,plain,
! [X0,X1] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f60,plain,
! [X0,X1] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(flattening,[],[f59]) ).
fof(f67,plain,
! [X0] :
( ( sdtasdt0(X0,sz00) = sz00
& sz00 = sdtasdt0(sz00,X0) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f68,plain,
! [X0] :
( ( sdtasdt0(smndt0(sz10),X0) = smndt0(X0)
& smndt0(X0) = sdtasdt0(X0,smndt0(sz10)) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f72,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f73,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(flattening,[],[f72]) ).
fof(f76,plain,
! [X0] :
( aElement0(smndt0(X0))
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f80,plain,
! [X0] :
( ( aElementOf0(sK2(X0),xI)
& aElementOf0(sK3(X0),xJ)
& sdtpldt0(sK2(X0),sK3(X0)) = X0
& aElementOf0(X0,sdtpldt1(xI,xJ)) )
| ~ aElement0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X1,sK2(X0)),skolemize(X2,sK3(X0))],[f39]) ).
fof(f81,plain,
! [X0] :
( ( aIdeal0(X0)
| ~ aSet0(X0)
| ? [X1] :
( ( ? [X2] :
( ~ aElementOf0(sdtpldt0(X1,X2),X0)
& aElementOf0(X2,X0) )
| ? [X3] :
( ~ aElementOf0(sdtasdt0(X3,X1),X0)
& aElement0(X3) ) )
& aElementOf0(X1,X0) ) )
& ( ( aSet0(X0)
& ! [X1] :
( ( ! [X2] :
( aElementOf0(sdtpldt0(X1,X2),X0)
| ~ aElementOf0(X2,X0) )
& ! [X3] :
( aElementOf0(sdtasdt0(X3,X1),X0)
| ~ aElement0(X3) ) )
| ~ aElementOf0(X1,X0) ) )
| ~ aIdeal0(X0) ) ),
inference(nnf_transformation,[],[f41]) ).
fof(f82,plain,
! [X0] :
( ( aIdeal0(X0)
| ~ aSet0(X0)
| ? [X1] :
( ( ? [X2] :
( ~ aElementOf0(sdtpldt0(X1,X2),X0)
& aElementOf0(X2,X0) )
| ? [X3] :
( ~ aElementOf0(sdtasdt0(X3,X1),X0)
& aElement0(X3) ) )
& aElementOf0(X1,X0) ) )
& ( ( aSet0(X0)
& ! [X1] :
( ( ! [X2] :
( aElementOf0(sdtpldt0(X1,X2),X0)
| ~ aElementOf0(X2,X0) )
& ! [X3] :
( aElementOf0(sdtasdt0(X3,X1),X0)
| ~ aElement0(X3) ) )
| ~ aElementOf0(X1,X0) ) )
| ~ aIdeal0(X0) ) ),
inference(flattening,[],[f81]) ).
fof(f83,plain,
! [X0] :
( ( aIdeal0(X0)
| ~ aSet0(X0)
| ? [X1] :
( ( ? [X2] :
( ~ aElementOf0(sdtpldt0(X1,X2),X0)
& aElementOf0(X2,X0) )
| ? [X3] :
( ~ aElementOf0(sdtasdt0(X3,X1),X0)
& aElement0(X3) ) )
& aElementOf0(X1,X0) ) )
& ( ( aSet0(X0)
& ! [X4] :
( ( ! [X5] :
( aElementOf0(sdtpldt0(X4,X5),X0)
| ~ aElementOf0(X5,X0) )
& ! [X6] :
( aElementOf0(sdtasdt0(X6,X4),X0)
| ~ aElement0(X6) ) )
| ~ aElementOf0(X4,X0) ) )
| ~ aIdeal0(X0) ) ),
inference(rectify,[],[f82]) ).
fof(f84,plain,
! [X0] :
( ( aIdeal0(X0)
| ~ aSet0(X0)
| ( ( ( ~ aElementOf0(sdtpldt0(sK4(X0),sK5(X0)),X0)
& aElementOf0(sK5(X0),X0) )
| ( ~ aElementOf0(sdtasdt0(sK6(X0),sK4(X0)),X0)
& aElement0(sK6(X0)) ) )
& aElementOf0(sK4(X0),X0) ) )
& ( ( aSet0(X0)
& ! [X4] :
( ( ! [X5] :
( aElementOf0(sdtpldt0(X4,X5),X0)
| ~ aElementOf0(X5,X0) )
& ! [X6] :
( aElementOf0(sdtasdt0(X6,X4),X0)
| ~ aElement0(X6) ) )
| ~ aElementOf0(X4,X0) ) )
| ~ aIdeal0(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6]),skolemize(X1,sK4(X0)),skolemize(X2,sK5(X0)),skolemize(X3,sK6(X0))],[f83]) ).
fof(f96,plain,
! [X0,X1,X2] :
( ( ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aElementOf0(sdtpldt0(X0,smndt0(X1)),X2) )
& ( aElementOf0(sdtpldt0(X0,smndt0(X1)),X2)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2) ) )
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aIdeal0(X2) ),
inference(nnf_transformation,[],[f50]) ).
fof(f97,plain,
aIdeal0(xJ),
inference(cnf_transformation,[],[f38]) ).
fof(f98,plain,
! [X3,X5] :
( aElementOf0(sdtasdt0(X5,X3),xJ)
| ~ aElement0(X5)
| ~ aElementOf0(X3,xJ) ),
inference(cnf_transformation,[],[f38]) ).
fof(f100,plain,
aSet0(xJ),
inference(cnf_transformation,[],[f38]) ).
fof(f101,plain,
aIdeal0(xI),
inference(cnf_transformation,[],[f38]) ).
fof(f102,plain,
! [X2,X0] :
( aElementOf0(sdtasdt0(X2,X0),xI)
| ~ aElement0(X2)
| ~ aElementOf0(X0,xI) ),
inference(cnf_transformation,[],[f38]) ).
fof(f104,plain,
aSet0(xI),
inference(cnf_transformation,[],[f38]) ).
fof(f106,plain,
! [X0] :
( sdtpldt0(sK2(X0),sK3(X0)) = X0
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f107,plain,
! [X0] :
( aElementOf0(sK3(X0),xJ)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f108,plain,
! [X0] :
( aElementOf0(sK2(X0),xI)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f109,plain,
aElement0(xy),
inference(cnf_transformation,[],[f30]) ).
fof(f110,plain,
aElement0(xx),
inference(cnf_transformation,[],[f30]) ).
fof(f111,plain,
! [X0] :
( ~ sdteqdtlpzmzozddtrp0(X0,xy,xJ)
| ~ sdteqdtlpzmzozddtrp0(X0,xx,xI)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f116,plain,
! [X0,X4,X5] :
( aElementOf0(sdtpldt0(X4,X5),X0)
| ~ aElementOf0(X5,X0)
| ~ aElementOf0(X4,X0)
| ~ aIdeal0(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f146,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f147,plain,
! [X2,X0,X1] :
( aElementOf0(sdtpldt0(X0,smndt0(X1)),X2)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aIdeal0(X2) ),
inference(cnf_transformation,[],[f96]) ).
fof(f148,plain,
! [X2,X0,X1] :
( ~ aElementOf0(sdtpldt0(X0,smndt0(X1)),X2)
| sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aIdeal0(X2) ),
inference(cnf_transformation,[],[f96]) ).
fof(f151,plain,
! [X0] :
( sz00 = sdtpldt0(smndt0(X0),X0)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f152,plain,
! [X0] :
( sz00 = sdtpldt0(X0,smndt0(X0))
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f153,plain,
! [X0] :
( sdtpldt0(sz00,X0) = X0
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f154,plain,
! [X0] :
( sdtpldt0(X0,sz00) = X0
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f155,plain,
! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(cnf_transformation,[],[f56]) ).
fof(f156,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f58]) ).
fof(f157,plain,
! [X0,X1] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f60]) ).
fof(f162,plain,
! [X0] :
( sz00 = sdtasdt0(X0,sz00)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f163,plain,
! [X0] :
( smndt0(X0) = sdtasdt0(X0,smndt0(sz10))
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f168,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f73]) ).
fof(f171,plain,
! [X0] :
( aElement0(smndt0(X0))
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f172,plain,
aElement0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f173,plain,
aElement0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f194,definition,
( spl15_2
<=> aElementOf0(sz00,xJ) ),
introduced(definition,[new_symbols(definition,[spl15_2])],[avatar_definition]) ).
fof(f195,plain,
( aElementOf0(sz00,xJ)
| ~ spl15_2 ),
inference(avatar_component_clause,[],[f194]) ).
fof(f196,plain,
( ~ aElementOf0(sz00,xJ)
| spl15_2 ),
inference(avatar_component_clause,[],[f194]) ).
fof(f208,definition,
( spl15_5
<=> aElementOf0(sz00,xI) ),
introduced(definition,[new_symbols(definition,[spl15_5])],[avatar_definition]) ).
fof(f209,plain,
( aElementOf0(sz00,xI)
| ~ spl15_5 ),
inference(avatar_component_clause,[],[f208]) ).
fof(f210,plain,
( ~ aElementOf0(sz00,xI)
| spl15_5 ),
inference(avatar_component_clause,[],[f208]) ).
fof(f224,definition,
( spl15_6
<=> ! [X0] :
( ~ aElementOf0(X0,xJ)
| ~ aElement0(X0)
| ~ sdteqdtlpzmzozddtrp0(X0,xx,xI) ) ),
introduced(definition,[new_symbols(definition,[spl15_6])],[avatar_definition]) ).
fof(f225,plain,
( ! [X0] :
( ~ sdteqdtlpzmzozddtrp0(X0,xx,xI)
| ~ aElement0(X0)
| ~ aElementOf0(X0,xJ) )
| ~ spl15_6 ),
inference(avatar_component_clause,[],[f224]) ).
fof(f232,definition,
( spl15_8
<=> ! [X0] :
( ~ aElementOf0(X0,xJ)
| ~ aElement0(X0)
| ~ aElementOf0(sdtpldt0(X0,smndt0(xx)),xI) ) ),
introduced(definition,[new_symbols(definition,[spl15_8])],[avatar_definition]) ).
fof(f233,plain,
( ! [X0] :
( ~ aElementOf0(sdtpldt0(X0,smndt0(xx)),xI)
| ~ aElement0(X0)
| ~ aElementOf0(X0,xJ) )
| ~ spl15_8 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f243,definition,
( spl15_9
<=> ! [X0] :
( ~ aElementOf0(X0,xI)
| ~ sdteqdtlpzmzozddtrp0(X0,xy,xJ)
| ~ aElement0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl15_9])],[avatar_definition]) ).
fof(f244,plain,
( ! [X0] :
( ~ sdteqdtlpzmzozddtrp0(X0,xy,xJ)
| ~ aElementOf0(X0,xI)
| ~ aElement0(X0) )
| ~ spl15_9 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f250,plain,
! [X0] :
( aElement0(sK3(X0))
| ~ aSet0(xJ)
| ~ aElement0(X0) ),
inference(resolution,[],[f146,f107]) ).
fof(f251,plain,
! [X0] :
( aElement0(sK2(X0))
| ~ aSet0(xI)
| ~ aElement0(X0) ),
inference(resolution,[],[f146,f108]) ).
fof(f256,plain,
! [X0] :
( aElement0(sK2(X0))
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[],[f251,f104]) ).
fof(f257,plain,
! [X0] :
( aElement0(sK3(X0))
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[],[f250,f100]) ).
fof(f562,plain,
! [X0,X1] :
( aElementOf0(sdtasdt0(X0,X1),xI)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI)
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(superposition,[],[f102,f168]) ).
fof(f564,plain,
! [X0,X1] :
( aElementOf0(sdtasdt0(X0,X1),xJ)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xJ)
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(superposition,[],[f98,f168]) ).
fof(f567,plain,
! [X0,X1] :
( aElementOf0(sdtasdt0(X0,X1),xJ)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xJ)
| ~ aElement0(X0) ),
inference(duplicate_literal_removal,[],[f564]) ).
fof(f569,plain,
! [X0,X1] :
( aElementOf0(sdtasdt0(X0,X1),xI)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI)
| ~ aElement0(X0) ),
inference(duplicate_literal_removal,[],[f562]) ).
fof(f579,plain,
! [X0] :
( aElementOf0(sz00,xJ)
| ~ aElement0(sz00)
| ~ aElementOf0(X0,xJ)
| ~ aElement0(X0)
| ~ aElement0(X0) ),
inference(superposition,[],[f567,f162]) ).
fof(f584,plain,
! [X0] :
( aElementOf0(sz00,xJ)
| ~ aElement0(sz00)
| ~ aElementOf0(X0,xJ)
| ~ aElement0(X0) ),
inference(duplicate_literal_removal,[],[f579]) ).
fof(f585,plain,
( ! [X0] :
( ~ aElement0(sz00)
| ~ aElementOf0(X0,xJ)
| ~ aElement0(X0) )
| spl15_2 ),
inference(forward_subsumption_resolution,[],[f584,f196]) ).
fof(f587,plain,
( ! [X0] :
( ~ aElementOf0(X0,xJ)
| ~ aElement0(X0) )
| spl15_2 ),
inference(forward_subsumption_resolution,[],[f585,f172]) ).
fof(f596,plain,
( ! [X0] :
( ~ aElement0(sK3(X0))
| ~ aElement0(X0) )
| spl15_2 ),
inference(resolution,[],[f587,f107]) ).
fof(f599,plain,
( ! [X0] : ~ aElement0(X0)
| spl15_2 ),
inference(forward_subsumption_resolution,[],[f596,f257]) ).
fof(f610,plain,
( $false
| spl15_2 ),
inference(resolution,[],[f599,f172]) ).
fof(f624,plain,
spl15_2,
inference(avatar_contradiction_clause,[],[f610]) ).
fof(f681,plain,
! [X0] :
( aElementOf0(sz00,xI)
| ~ aElement0(sz00)
| ~ aElementOf0(X0,xI)
| ~ aElement0(X0)
| ~ aElement0(X0) ),
inference(superposition,[],[f569,f162]) ).
fof(f686,plain,
! [X0] :
( aElementOf0(sz00,xI)
| ~ aElement0(sz00)
| ~ aElementOf0(X0,xI)
| ~ aElement0(X0) ),
inference(duplicate_literal_removal,[],[f681]) ).
fof(f687,plain,
( ! [X0] :
( ~ aElement0(sz00)
| ~ aElementOf0(X0,xI)
| ~ aElement0(X0) )
| spl15_5 ),
inference(forward_subsumption_resolution,[],[f686,f210]) ).
fof(f689,plain,
( ! [X0] :
( ~ aElementOf0(X0,xI)
| ~ aElement0(X0) )
| spl15_5 ),
inference(forward_subsumption_resolution,[],[f687,f172]) ).
fof(f698,plain,
( ! [X0] :
( ~ aElement0(sK2(X0))
| ~ aElement0(X0) )
| spl15_5 ),
inference(resolution,[],[f689,f108]) ).
fof(f701,plain,
( ! [X0] : ~ aElement0(X0)
| spl15_5 ),
inference(forward_subsumption_resolution,[],[f698,f256]) ).
fof(f712,plain,
( $false
| spl15_5 ),
inference(resolution,[],[f701,f172]) ).
fof(f728,plain,
spl15_5,
inference(avatar_contradiction_clause,[],[f712]) ).
fof(f995,plain,
! [X0] :
( aElementOf0(smndt0(X0),xJ)
| ~ aElement0(smndt0(sz10))
| ~ aElementOf0(X0,xJ)
| ~ aElement0(X0)
| ~ aElement0(X0) ),
inference(superposition,[],[f567,f163]) ).
fof(f996,plain,
! [X0] :
( aElementOf0(smndt0(X0),xI)
| ~ aElement0(smndt0(sz10))
| ~ aElementOf0(X0,xI)
| ~ aElement0(X0)
| ~ aElement0(X0) ),
inference(superposition,[],[f569,f163]) ).
fof(f998,plain,
! [X0] :
( aElementOf0(smndt0(X0),xI)
| ~ aElement0(smndt0(sz10))
| ~ aElementOf0(X0,xI)
| ~ aElement0(X0) ),
inference(duplicate_literal_removal,[],[f996]) ).
fof(f999,plain,
! [X0] :
( aElementOf0(smndt0(X0),xJ)
| ~ aElement0(smndt0(sz10))
| ~ aElementOf0(X0,xJ)
| ~ aElement0(X0) ),
inference(duplicate_literal_removal,[],[f995]) ).
fof(f1009,definition,
( spl15_36
<=> aElement0(smndt0(sz10)) ),
introduced(definition,[new_symbols(definition,[spl15_36])],[avatar_definition]) ).
fof(f1011,plain,
( ~ aElement0(smndt0(sz10))
| spl15_36 ),
inference(avatar_component_clause,[],[f1009]) ).
fof(f1013,definition,
( spl15_37
<=> ! [X0] :
( aElementOf0(smndt0(X0),xI)
| ~ aElement0(X0)
| ~ aElementOf0(X0,xI) ) ),
introduced(definition,[new_symbols(definition,[spl15_37])],[avatar_definition]) ).
fof(f1014,plain,
( ! [X0] :
( aElementOf0(smndt0(X0),xI)
| ~ aElement0(X0)
| ~ aElementOf0(X0,xI) )
| ~ spl15_37 ),
inference(avatar_component_clause,[],[f1013]) ).
fof(f1015,plain,
( ~ spl15_36
| spl15_37 ),
inference(avatar_split_clause,[],[f998,f1013,f1009]) ).
fof(f1017,definition,
( spl15_38
<=> ! [X0] :
( aElementOf0(smndt0(X0),xJ)
| ~ aElement0(X0)
| ~ aElementOf0(X0,xJ) ) ),
introduced(definition,[new_symbols(definition,[spl15_38])],[avatar_definition]) ).
fof(f1018,plain,
( ! [X0] :
( aElementOf0(smndt0(X0),xJ)
| ~ aElement0(X0)
| ~ aElementOf0(X0,xJ) )
| ~ spl15_38 ),
inference(avatar_component_clause,[],[f1017]) ).
fof(f1019,plain,
( ~ spl15_36
| spl15_38 ),
inference(avatar_split_clause,[],[f999,f1017,f1009]) ).
fof(f1036,plain,
( ~ aElement0(sz10)
| spl15_36 ),
inference(resolution,[],[f1011,f171]) ).
fof(f1037,plain,
( $false
| spl15_36 ),
inference(forward_subsumption_resolution,[],[f1036,f173]) ).
fof(f1038,plain,
spl15_36,
inference(avatar_contradiction_clause,[],[f1037]) ).
fof(f1043,plain,
( ! [X0] :
( ~ aElement0(X0)
| ~ aElementOf0(X0,xJ)
| aElement0(smndt0(X0))
| ~ aSet0(xJ) )
| ~ spl15_38 ),
inference(resolution,[],[f1018,f146]) ).
fof(f1045,plain,
( ! [X0] :
( ~ aElementOf0(X0,xJ)
| aElement0(smndt0(X0))
| ~ aSet0(xJ) )
| ~ spl15_38 ),
inference(forward_subsumption_resolution,[],[f1043,f146]) ).
fof(f1048,plain,
( ! [X0] :
( ~ aElementOf0(X0,xJ)
| aElement0(smndt0(X0)) )
| ~ spl15_38 ),
inference(forward_subsumption_resolution,[],[f1045,f100]) ).
fof(f1064,plain,
( ! [X0] :
( ~ aElement0(X0)
| ~ aElementOf0(X0,xI)
| aElement0(smndt0(X0))
| ~ aSet0(xI) )
| ~ spl15_37 ),
inference(resolution,[],[f1014,f146]) ).
fof(f1066,plain,
( ! [X0] :
( ~ aElementOf0(X0,xI)
| aElement0(smndt0(X0))
| ~ aSet0(xI) )
| ~ spl15_37 ),
inference(forward_subsumption_resolution,[],[f1064,f146]) ).
fof(f1070,plain,
( ! [X0] :
( ~ aElementOf0(X0,xI)
| aElement0(smndt0(X0)) )
| ~ spl15_37 ),
inference(forward_subsumption_resolution,[],[f1066,f104]) ).
fof(f1099,plain,
( ! [X0] :
( aElement0(smndt0(sK3(X0)))
| ~ aElement0(X0) )
| ~ spl15_38 ),
inference(resolution,[],[f1048,f107]) ).
fof(f1137,plain,
( ! [X0] :
( aElement0(smndt0(sK2(X0)))
| ~ aElement0(X0) )
| ~ spl15_37 ),
inference(resolution,[],[f1070,f108]) ).
fof(f1402,plain,
( ! [X0] :
( ~ aElement0(X0)
| ~ aElementOf0(X0,xJ)
| ~ sdteqdtlpzmzozddtrp0(X0,xx,xI)
| ~ aElement0(X0)
| ~ aElement0(xx)
| ~ aIdeal0(xI) )
| ~ spl15_8 ),
inference(resolution,[],[f233,f147]) ).
fof(f1415,plain,
( ! [X0] :
( ~ aElement0(X0)
| ~ aElementOf0(X0,xJ)
| ~ sdteqdtlpzmzozddtrp0(X0,xx,xI)
| ~ aElement0(xx)
| ~ aIdeal0(xI) )
| ~ spl15_8 ),
inference(duplicate_literal_removal,[],[f1402]) ).
fof(f1628,plain,
! [X0,X1] :
( sdtpldt0(sz00,X1) = sdtpldt0(smndt0(X0),sdtpldt0(X0,X1))
| ~ aElement0(smndt0(X0))
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[],[f155,f151]) ).
fof(f1630,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(sK2(X0),sdtpldt0(sK3(X0),X1))
| ~ aElement0(sK2(X0))
| ~ aElement0(sK3(X0))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[],[f155,f106]) ).
fof(f1648,plain,
! [X2,X3,X0,X1] :
( ~ aElementOf0(sdtpldt0(X0,sdtpldt0(X1,smndt0(X2))),X3)
| sdteqdtlpzmzozddtrp0(sdtpldt0(X0,X1),X2,X3)
| ~ aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X2)
| ~ aIdeal0(X3)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(smndt0(X2)) ),
inference(superposition,[],[f148,f155]) ).
fof(f1660,plain,
! [X0,X1] :
( sdtpldt0(sz00,X1) = sdtpldt0(smndt0(X0),sdtpldt0(X0,X1))
| ~ aElement0(smndt0(X0))
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(duplicate_literal_removal,[],[f1628]) ).
fof(f1671,plain,
! [X2,X3,X0,X1] :
( ~ aElementOf0(sdtpldt0(X0,sdtpldt0(X1,smndt0(X2))),X3)
| sdteqdtlpzmzozddtrp0(sdtpldt0(X0,X1),X2,X3)
| ~ aElement0(X2)
| ~ aIdeal0(X3)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(smndt0(X2)) ),
inference(forward_subsumption_resolution,[],[f1648,f157]) ).
fof(f1684,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(sK2(X0),sdtpldt0(sK3(X0),X1))
| ~ aElement0(sK3(X0))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[],[f1630,f256]) ).
fof(f1686,plain,
! [X0,X1] :
( sdtpldt0(sz00,X1) = sdtpldt0(smndt0(X0),sdtpldt0(X0,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(forward_subsumption_resolution,[],[f1660,f171]) ).
fof(f1695,plain,
! [X2,X3,X0,X1] :
( ~ aElementOf0(sdtpldt0(X0,sdtpldt0(X1,smndt0(X2))),X3)
| sdteqdtlpzmzozddtrp0(sdtpldt0(X0,X1),X2,X3)
| ~ aElement0(X2)
| ~ aIdeal0(X3)
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(forward_subsumption_resolution,[],[f1671,f171]) ).
fof(f1702,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(sK2(X0),sdtpldt0(sK3(X0),X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[],[f1684,f257]) ).
fof(f1752,plain,
! [X2,X3,X0,X1] :
( sdteqdtlpzmzozddtrp0(sdtpldt0(X0,X1),X2,X3)
| ~ aElement0(X2)
| ~ aIdeal0(X3)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElementOf0(sdtpldt0(X1,smndt0(X2)),X3)
| ~ aElementOf0(X0,X3)
| ~ aIdeal0(X3) ),
inference(resolution,[],[f1695,f116]) ).
fof(f1778,plain,
! [X2,X3,X0,X1] :
( sdteqdtlpzmzozddtrp0(sdtpldt0(X0,X1),X2,X3)
| ~ aElement0(X2)
| ~ aIdeal0(X3)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElementOf0(sdtpldt0(X1,smndt0(X2)),X3)
| ~ aElementOf0(X0,X3) ),
inference(duplicate_literal_removal,[],[f1752]) ).
fof(f1795,plain,
! [X0,X1] :
( ~ aElement0(xy)
| ~ aIdeal0(xJ)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElementOf0(sdtpldt0(X1,smndt0(xy)),xJ)
| ~ aElementOf0(X0,xJ)
| ~ sdteqdtlpzmzozddtrp0(sdtpldt0(X0,X1),xx,xI)
| ~ aElement0(sdtpldt0(X0,X1)) ),
inference(resolution,[],[f1778,f111]) ).
fof(f1797,plain,
( ! [X0,X1] :
( ~ aElement0(xx)
| ~ aIdeal0(xI)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElementOf0(sdtpldt0(X1,smndt0(xx)),xI)
| ~ aElementOf0(X0,xI)
| ~ aElement0(sdtpldt0(X0,X1))
| ~ aElementOf0(sdtpldt0(X0,X1),xJ) )
| ~ spl15_6 ),
inference(resolution,[],[f1778,f225]) ).
fof(f1822,plain,
( ! [X0,X1] :
( ~ aIdeal0(xI)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElementOf0(sdtpldt0(X1,smndt0(xx)),xI)
| ~ aElementOf0(X0,xI)
| ~ aElement0(sdtpldt0(X0,X1))
| ~ aElementOf0(sdtpldt0(X0,X1),xJ) )
| ~ spl15_6 ),
inference(forward_subsumption_resolution,[],[f1797,f110]) ).
fof(f1823,plain,
! [X0,X1] :
( ~ aIdeal0(xJ)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElementOf0(sdtpldt0(X1,smndt0(xy)),xJ)
| ~ aElementOf0(X0,xJ)
| ~ sdteqdtlpzmzozddtrp0(sdtpldt0(X0,X1),xx,xI)
| ~ aElement0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f1795,f109]) ).
fof(f1825,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElementOf0(sdtpldt0(X1,smndt0(xx)),xI)
| ~ aElementOf0(X0,xI)
| ~ aElement0(sdtpldt0(X0,X1))
| ~ aElementOf0(sdtpldt0(X0,X1),xJ) )
| ~ spl15_6 ),
inference(forward_subsumption_resolution,[],[f1822,f101]) ).
fof(f1826,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElementOf0(sdtpldt0(X1,smndt0(xy)),xJ)
| ~ aElementOf0(X0,xJ)
| ~ sdteqdtlpzmzozddtrp0(sdtpldt0(X0,X1),xx,xI)
| ~ aElement0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f1823,f97]) ).
fof(f1827,plain,
( ! [X0,X1] :
( ~ aElementOf0(sdtpldt0(X1,smndt0(xx)),xI)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElementOf0(X0,xI)
| ~ aElementOf0(sdtpldt0(X0,X1),xJ) )
| ~ spl15_6 ),
inference(forward_subsumption_resolution,[],[f1825,f157]) ).
fof(f1828,plain,
! [X0,X1] :
( ~ sdteqdtlpzmzozddtrp0(sdtpldt0(X0,X1),xx,xI)
| ~ aElement0(X1)
| ~ aElementOf0(sdtpldt0(X1,smndt0(xy)),xJ)
| ~ aElementOf0(X0,xJ)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[],[f1826,f157]) ).
fof(f1835,plain,
( ! [X0] :
( ~ aElementOf0(sz00,xI)
| ~ aElement0(xx)
| ~ aElement0(X0)
| ~ aElementOf0(X0,xI)
| ~ aElementOf0(sdtpldt0(X0,xx),xJ)
| ~ aElement0(xx) )
| ~ spl15_6 ),
inference(superposition,[],[f1827,f152]) ).
fof(f1843,plain,
( ! [X0] :
( ~ aElementOf0(sz00,xI)
| ~ aElement0(xx)
| ~ aElement0(X0)
| ~ aElementOf0(X0,xI)
| ~ aElementOf0(sdtpldt0(X0,xx),xJ) )
| ~ spl15_6 ),
inference(duplicate_literal_removal,[],[f1835]) ).
fof(f1849,plain,
( ! [X0] :
( ~ aElement0(xx)
| ~ aElement0(X0)
| ~ aElementOf0(X0,xI)
| ~ aElementOf0(sdtpldt0(X0,xx),xJ) )
| ~ spl15_5
| ~ spl15_6 ),
inference(forward_subsumption_resolution,[],[f1843,f209]) ).
fof(f1853,plain,
( ! [X0] :
( ~ aElementOf0(sdtpldt0(X0,xx),xJ)
| ~ aElementOf0(X0,xI)
| ~ aElement0(X0) )
| ~ spl15_5
| ~ spl15_6 ),
inference(forward_subsumption_resolution,[],[f1849,f110]) ).
fof(f1883,plain,
! [X0,X1] :
( ~ sdteqdtlpzmzozddtrp0(sdtpldt0(X0,X1),xx,xI)
| ~ aElement0(X0)
| ~ aElementOf0(sdtpldt0(X0,smndt0(xy)),xJ)
| ~ aElementOf0(X1,xJ)
| ~ aElement0(X1)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[],[f1828,f156]) ).
fof(f1898,plain,
! [X0,X1] :
( ~ sdteqdtlpzmzozddtrp0(sdtpldt0(X0,X1),xx,xI)
| ~ aElement0(X0)
| ~ aElementOf0(sdtpldt0(X0,smndt0(xy)),xJ)
| ~ aElementOf0(X1,xJ)
| ~ aElement0(X1) ),
inference(duplicate_literal_removal,[],[f1883]) ).
fof(f2212,plain,
! [X0] :
( sdtpldt0(sz00,sK3(X0)) = sdtpldt0(smndt0(sK2(X0)),X0)
| ~ aElement0(sK2(X0))
| ~ aElement0(sK3(X0))
| ~ aElement0(X0) ),
inference(superposition,[],[f1686,f106]) ).
fof(f2271,plain,
! [X0] :
( sdtpldt0(sz00,sK3(X0)) = sdtpldt0(smndt0(sK2(X0)),X0)
| ~ aElement0(sK3(X0))
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[],[f2212,f256]) ).
fof(f2285,plain,
! [X0] :
( sdtpldt0(sz00,sK3(X0)) = sdtpldt0(smndt0(sK2(X0)),X0)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[],[f2271,f257]) ).
fof(f2387,plain,
( ~ aElementOf0(sdtpldt0(sz00,sK3(xx)),xJ)
| ~ aElementOf0(smndt0(sK2(xx)),xI)
| ~ aElement0(smndt0(sK2(xx)))
| ~ aElement0(xx)
| ~ spl15_5
| ~ spl15_6 ),
inference(superposition,[],[f1853,f2285]) ).
fof(f2404,plain,
( ~ aElementOf0(sdtpldt0(sz00,sK3(xx)),xJ)
| ~ aElementOf0(smndt0(sK2(xx)),xI)
| ~ aElement0(xx)
| ~ spl15_5
| ~ spl15_6
| ~ spl15_37 ),
inference(forward_subsumption_resolution,[],[f2387,f1137]) ).
fof(f2436,plain,
( ~ aElementOf0(sdtpldt0(sz00,sK3(xx)),xJ)
| ~ aElementOf0(smndt0(sK2(xx)),xI)
| ~ spl15_5
| ~ spl15_6
| ~ spl15_37 ),
inference(forward_subsumption_resolution,[],[f2404,f110]) ).
fof(f2455,definition,
( spl15_54
<=> aElementOf0(smndt0(sK2(xx)),xI) ),
introduced(definition,[new_symbols(definition,[spl15_54])],[avatar_definition]) ).
fof(f2457,plain,
( ~ aElementOf0(smndt0(sK2(xx)),xI)
| spl15_54 ),
inference(avatar_component_clause,[],[f2455]) ).
fof(f2459,definition,
( spl15_55
<=> aElementOf0(sdtpldt0(sz00,sK3(xx)),xJ) ),
introduced(definition,[new_symbols(definition,[spl15_55])],[avatar_definition]) ).
fof(f2461,plain,
( ~ aElementOf0(sdtpldt0(sz00,sK3(xx)),xJ)
| spl15_55 ),
inference(avatar_component_clause,[],[f2459]) ).
fof(f2462,plain,
( ~ spl15_54
| ~ spl15_55
| ~ spl15_5
| ~ spl15_6
| ~ spl15_37 ),
inference(avatar_split_clause,[],[f2436,f1013,f224,f208,f2459,f2455]) ).
fof(f2680,plain,
( ~ aElementOf0(sK3(xx),xJ)
| ~ aElement0(sK3(xx))
| spl15_55 ),
inference(superposition,[],[f2461,f153]) ).
fof(f2682,definition,
( spl15_79
<=> aElement0(sK3(xx)) ),
introduced(definition,[new_symbols(definition,[spl15_79])],[avatar_definition]) ).
fof(f2686,definition,
( spl15_80
<=> aElementOf0(sK3(xx),xJ) ),
introduced(definition,[new_symbols(definition,[spl15_80])],[avatar_definition]) ).
fof(f2687,plain,
( aElementOf0(sK3(xx),xJ)
| ~ spl15_80 ),
inference(avatar_component_clause,[],[f2686]) ).
fof(f2688,plain,
( ~ aElementOf0(sK3(xx),xJ)
| spl15_80 ),
inference(avatar_component_clause,[],[f2686]) ).
fof(f2689,plain,
( ~ spl15_79
| ~ spl15_80
| spl15_55 ),
inference(avatar_split_clause,[],[f2680,f2459,f2686,f2682]) ).
fof(f2694,plain,
( ~ aElement0(xx)
| spl15_80 ),
inference(resolution,[],[f2688,f107]) ).
fof(f2696,plain,
( $false
| spl15_80 ),
inference(forward_subsumption_resolution,[],[f2694,f110]) ).
fof(f2697,plain,
spl15_80,
inference(avatar_contradiction_clause,[],[f2696]) ).
fof(f2700,plain,
( aElement0(sK3(xx))
| ~ aSet0(xJ)
| ~ spl15_80 ),
inference(resolution,[],[f2687,f146]) ).
fof(f2701,plain,
( aElement0(sK3(xx))
| ~ spl15_80 ),
inference(forward_subsumption_resolution,[],[f2700,f100]) ).
fof(f2702,plain,
( spl15_79
| ~ spl15_80 ),
inference(avatar_split_clause,[],[f2701,f2686,f2682]) ).
fof(f2715,plain,
( ~ aElement0(sK2(xx))
| ~ aElementOf0(sK2(xx),xI)
| ~ spl15_37
| spl15_54 ),
inference(resolution,[],[f2457,f1014]) ).
fof(f2719,definition,
( spl15_81
<=> aElementOf0(sK2(xx),xI) ),
introduced(definition,[new_symbols(definition,[spl15_81])],[avatar_definition]) ).
fof(f2720,plain,
( aElementOf0(sK2(xx),xI)
| ~ spl15_81 ),
inference(avatar_component_clause,[],[f2719]) ).
fof(f2721,plain,
( ~ aElementOf0(sK2(xx),xI)
| spl15_81 ),
inference(avatar_component_clause,[],[f2719]) ).
fof(f2723,definition,
( spl15_82
<=> aElement0(sK2(xx)) ),
introduced(definition,[new_symbols(definition,[spl15_82])],[avatar_definition]) ).
fof(f2725,plain,
( ~ aElement0(sK2(xx))
| spl15_82 ),
inference(avatar_component_clause,[],[f2723]) ).
fof(f2726,plain,
( ~ spl15_81
| ~ spl15_82
| ~ spl15_37
| spl15_54 ),
inference(avatar_split_clause,[],[f2715,f2455,f1013,f2723,f2719]) ).
fof(f2727,plain,
( ~ aElement0(xx)
| spl15_81 ),
inference(resolution,[],[f2721,f108]) ).
fof(f2729,plain,
( $false
| spl15_81 ),
inference(forward_subsumption_resolution,[],[f2727,f110]) ).
fof(f2730,plain,
spl15_81,
inference(avatar_contradiction_clause,[],[f2729]) ).
fof(f2732,plain,
( aElement0(sK2(xx))
| ~ aSet0(xI)
| ~ spl15_81 ),
inference(resolution,[],[f2720,f146]) ).
fof(f2733,plain,
( ~ aSet0(xI)
| ~ spl15_81
| spl15_82 ),
inference(forward_subsumption_resolution,[],[f2732,f2725]) ).
fof(f2734,plain,
( $false
| ~ spl15_81
| spl15_82 ),
inference(forward_subsumption_resolution,[],[f2733,f104]) ).
fof(f2735,plain,
( ~ spl15_81
| spl15_82 ),
inference(avatar_contradiction_clause,[],[f2734]) ).
fof(f2751,plain,
( ! [X0] :
( ~ aElement0(X0)
| ~ aElementOf0(X0,xJ)
| ~ sdteqdtlpzmzozddtrp0(X0,xx,xI)
| ~ aIdeal0(xI) )
| ~ spl15_8 ),
inference(forward_subsumption_resolution,[],[f1415,f110]) ).
fof(f2767,plain,
( ! [X0] :
( ~ aElement0(X0)
| ~ aElementOf0(X0,xJ)
| ~ sdteqdtlpzmzozddtrp0(X0,xx,xI) )
| ~ spl15_8 ),
inference(forward_subsumption_resolution,[],[f2751,f101]) ).
fof(f2775,plain,
( spl15_6
| ~ spl15_8 ),
inference(avatar_split_clause,[],[f2767,f232,f224]) ).
fof(f3409,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aElementOf0(sdtpldt0(X0,smndt0(xy)),xJ)
| ~ aElementOf0(X1,xJ)
| ~ aElement0(X1)
| ~ aElement0(xx)
| ~ aIdeal0(xI)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElementOf0(sdtpldt0(X1,smndt0(xx)),xI)
| ~ aElementOf0(X0,xI) ),
inference(resolution,[],[f1898,f1778]) ).
fof(f3434,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aElementOf0(sdtpldt0(X0,smndt0(xy)),xJ)
| ~ aElementOf0(X1,xJ)
| ~ aElement0(X1)
| ~ aElement0(xx)
| ~ aIdeal0(xI)
| ~ aElementOf0(sdtpldt0(X1,smndt0(xx)),xI)
| ~ aElementOf0(X0,xI) ),
inference(duplicate_literal_removal,[],[f3409]) ).
fof(f3439,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aElementOf0(sdtpldt0(X0,smndt0(xy)),xJ)
| ~ aElementOf0(X1,xJ)
| ~ aElement0(X1)
| ~ aIdeal0(xI)
| ~ aElementOf0(sdtpldt0(X1,smndt0(xx)),xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[],[f3434,f110]) ).
fof(f3442,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aElementOf0(sdtpldt0(X0,smndt0(xy)),xJ)
| ~ aElementOf0(X1,xJ)
| ~ aElement0(X1)
| ~ aElementOf0(sdtpldt0(X1,smndt0(xx)),xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[],[f3439,f101]) ).
fof(f3445,definition,
( spl15_129
<=> ! [X0] :
( ~ aElement0(X0)
| ~ aElementOf0(X0,xI)
| ~ aElementOf0(sdtpldt0(X0,smndt0(xy)),xJ) ) ),
introduced(definition,[new_symbols(definition,[spl15_129])],[avatar_definition]) ).
fof(f3446,plain,
( ! [X0] :
( ~ aElementOf0(sdtpldt0(X0,smndt0(xy)),xJ)
| ~ aElementOf0(X0,xI)
| ~ aElement0(X0) )
| ~ spl15_129 ),
inference(avatar_component_clause,[],[f3445]) ).
fof(f3447,plain,
( spl15_8
| spl15_129 ),
inference(avatar_split_clause,[],[f3442,f3445,f232]) ).
fof(f3449,plain,
( ! [X0] :
( ~ aElementOf0(X0,xI)
| ~ aElement0(X0)
| ~ sdteqdtlpzmzozddtrp0(X0,xy,xJ)
| ~ aElement0(X0)
| ~ aElement0(xy)
| ~ aIdeal0(xJ) )
| ~ spl15_129 ),
inference(resolution,[],[f3446,f147]) ).
fof(f3465,plain,
( ! [X0] :
( ~ aElementOf0(X0,xI)
| ~ aElement0(X0)
| ~ sdteqdtlpzmzozddtrp0(X0,xy,xJ)
| ~ aElement0(xy)
| ~ aIdeal0(xJ) )
| ~ spl15_129 ),
inference(duplicate_literal_removal,[],[f3449]) ).
fof(f3473,plain,
( ! [X0] :
( ~ aElementOf0(X0,xI)
| ~ aElement0(X0)
| ~ sdteqdtlpzmzozddtrp0(X0,xy,xJ)
| ~ aIdeal0(xJ) )
| ~ spl15_129 ),
inference(forward_subsumption_resolution,[],[f3465,f109]) ).
fof(f3479,plain,
( ! [X0] :
( ~ aElementOf0(X0,xI)
| ~ aElement0(X0)
| ~ sdteqdtlpzmzozddtrp0(X0,xy,xJ) )
| ~ spl15_129 ),
inference(forward_subsumption_resolution,[],[f3473,f97]) ).
fof(f3482,plain,
( spl15_9
| ~ spl15_129 ),
inference(avatar_split_clause,[],[f3479,f3445,f243]) ).
fof(f3489,plain,
( ! [X0,X1] :
( ~ aElementOf0(sdtpldt0(X0,X1),xI)
| ~ aElement0(sdtpldt0(X0,X1))
| ~ aElement0(xy)
| ~ aIdeal0(xJ)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElementOf0(sdtpldt0(X1,smndt0(xy)),xJ)
| ~ aElementOf0(X0,xJ) )
| ~ spl15_9 ),
inference(resolution,[],[f244,f1778]) ).
fof(f3494,plain,
( ! [X0,X1] :
( ~ aElementOf0(sdtpldt0(X0,X1),xI)
| ~ aElement0(sdtpldt0(X0,X1))
| ~ aIdeal0(xJ)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElementOf0(sdtpldt0(X1,smndt0(xy)),xJ)
| ~ aElementOf0(X0,xJ) )
| ~ spl15_9 ),
inference(forward_subsumption_resolution,[],[f3489,f109]) ).
fof(f3495,plain,
( ! [X0,X1] :
( ~ aElementOf0(sdtpldt0(X0,X1),xI)
| ~ aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElementOf0(sdtpldt0(X1,smndt0(xy)),xJ)
| ~ aElementOf0(X0,xJ) )
| ~ spl15_9 ),
inference(forward_subsumption_resolution,[],[f3494,f97]) ).
fof(f3496,plain,
( ! [X0,X1] :
( ~ aElementOf0(sdtpldt0(X1,smndt0(xy)),xJ)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElementOf0(sdtpldt0(X0,X1),xI)
| ~ aElementOf0(X0,xJ) )
| ~ spl15_9 ),
inference(forward_subsumption_resolution,[],[f3495,f157]) ).
fof(f3555,plain,
( ! [X0] :
( ~ aElementOf0(sz00,xJ)
| ~ aElement0(X0)
| ~ aElement0(xy)
| ~ aElementOf0(sdtpldt0(X0,xy),xI)
| ~ aElementOf0(X0,xJ)
| ~ aElement0(xy) )
| ~ spl15_9 ),
inference(superposition,[],[f3496,f152]) ).
fof(f3564,plain,
( ! [X0] :
( ~ aElementOf0(sz00,xJ)
| ~ aElement0(X0)
| ~ aElement0(xy)
| ~ aElementOf0(sdtpldt0(X0,xy),xI)
| ~ aElementOf0(X0,xJ) )
| ~ spl15_9 ),
inference(duplicate_literal_removal,[],[f3555]) ).
fof(f3572,plain,
( ! [X0] :
( ~ aElement0(X0)
| ~ aElement0(xy)
| ~ aElementOf0(sdtpldt0(X0,xy),xI)
| ~ aElementOf0(X0,xJ) )
| ~ spl15_2
| ~ spl15_9 ),
inference(forward_subsumption_resolution,[],[f3564,f195]) ).
fof(f3578,plain,
( ! [X0] :
( ~ aElementOf0(sdtpldt0(X0,xy),xI)
| ~ aElement0(X0)
| ~ aElementOf0(X0,xJ) )
| ~ spl15_2
| ~ spl15_9 ),
inference(forward_subsumption_resolution,[],[f3572,f109]) ).
fof(f3766,definition,
( spl15_132
<=> aElementOf0(sK2(xy),xI) ),
introduced(definition,[new_symbols(definition,[spl15_132])],[avatar_definition]) ).
fof(f3767,plain,
( aElementOf0(sK2(xy),xI)
| ~ spl15_132 ),
inference(avatar_component_clause,[],[f3766]) ).
fof(f3768,plain,
( ~ aElementOf0(sK2(xy),xI)
| spl15_132 ),
inference(avatar_component_clause,[],[f3766]) ).
fof(f3775,plain,
( ~ aElement0(xy)
| spl15_132 ),
inference(resolution,[],[f3768,f108]) ).
fof(f3777,plain,
( $false
| spl15_132 ),
inference(forward_subsumption_resolution,[],[f3775,f109]) ).
fof(f3778,plain,
spl15_132,
inference(avatar_contradiction_clause,[],[f3777]) ).
fof(f3780,plain,
( aElement0(sK2(xy))
| ~ aSet0(xI)
| ~ spl15_132 ),
inference(resolution,[],[f3767,f146]) ).
fof(f3781,plain,
( aElement0(sK2(xy))
| ~ spl15_132 ),
inference(forward_subsumption_resolution,[],[f3780,f104]) ).
fof(f3934,plain,
( ! [X0] :
( ~ aElementOf0(sdtpldt0(xy,X0),xI)
| ~ aElement0(X0)
| ~ aElementOf0(X0,xJ)
| ~ aElement0(X0)
| ~ aElement0(xy) )
| ~ spl15_2
| ~ spl15_9 ),
inference(superposition,[],[f3578,f156]) ).
fof(f3939,plain,
( ! [X0] :
( ~ aElementOf0(sdtpldt0(xy,X0),xI)
| ~ aElement0(X0)
| ~ aElementOf0(X0,xJ)
| ~ aElement0(xy) )
| ~ spl15_2
| ~ spl15_9 ),
inference(duplicate_literal_removal,[],[f3934]) ).
fof(f3943,plain,
( ! [X0] :
( ~ aElementOf0(sdtpldt0(xy,X0),xI)
| ~ aElement0(X0)
| ~ aElementOf0(X0,xJ) )
| ~ spl15_2
| ~ spl15_9 ),
inference(forward_subsumption_resolution,[],[f3939,f109]) ).
fof(f4280,plain,
! [X0] :
( sdtpldt0(X0,smndt0(sK3(X0))) = sdtpldt0(sK2(X0),sz00)
| ~ aElement0(smndt0(sK3(X0)))
| ~ aElement0(X0)
| ~ aElement0(sK3(X0)) ),
inference(superposition,[],[f1702,f152]) ).
fof(f4328,plain,
! [X0] :
( sdtpldt0(X0,smndt0(sK3(X0))) = sdtpldt0(sK2(X0),sz00)
| ~ aElement0(X0)
| ~ aElement0(sK3(X0)) ),
inference(forward_subsumption_resolution,[],[f4280,f171]) ).
fof(f4337,plain,
! [X0] :
( sdtpldt0(X0,smndt0(sK3(X0))) = sdtpldt0(sK2(X0),sz00)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[],[f4328,f257]) ).
fof(f5305,definition,
( spl15_156
<=> aElement0(sK3(xy)) ),
introduced(definition,[new_symbols(definition,[spl15_156])],[avatar_definition]) ).
fof(f5306,plain,
( aElement0(sK3(xy))
| ~ spl15_156 ),
inference(avatar_component_clause,[],[f5305]) ).
fof(f5307,plain,
( ~ aElement0(sK3(xy))
| spl15_156 ),
inference(avatar_component_clause,[],[f5305]) ).
fof(f5332,plain,
( ~ aElement0(xy)
| spl15_156 ),
inference(resolution,[],[f5307,f257]) ).
fof(f5333,plain,
( $false
| spl15_156 ),
inference(forward_subsumption_resolution,[],[f5332,f109]) ).
fof(f5334,plain,
spl15_156,
inference(avatar_contradiction_clause,[],[f5333]) ).
fof(f5542,plain,
( ~ aElementOf0(sdtpldt0(sK2(xy),sz00),xI)
| ~ aElement0(smndt0(sK3(xy)))
| ~ aElementOf0(smndt0(sK3(xy)),xJ)
| ~ aElement0(xy)
| ~ spl15_2
| ~ spl15_9 ),
inference(superposition,[],[f3943,f4337]) ).
fof(f5549,plain,
( ~ aElementOf0(sdtpldt0(sK2(xy),sz00),xI)
| ~ aElementOf0(smndt0(sK3(xy)),xJ)
| ~ aElement0(xy)
| ~ spl15_2
| ~ spl15_9
| ~ spl15_38 ),
inference(forward_subsumption_resolution,[],[f5542,f1099]) ).
fof(f5552,plain,
( ~ aElementOf0(sdtpldt0(sK2(xy),sz00),xI)
| ~ aElementOf0(smndt0(sK3(xy)),xJ)
| ~ spl15_2
| ~ spl15_9
| ~ spl15_38 ),
inference(forward_subsumption_resolution,[],[f5549,f109]) ).
fof(f5555,definition,
( spl15_159
<=> aElementOf0(smndt0(sK3(xy)),xJ) ),
introduced(definition,[new_symbols(definition,[spl15_159])],[avatar_definition]) ).
fof(f5557,plain,
( ~ aElementOf0(smndt0(sK3(xy)),xJ)
| spl15_159 ),
inference(avatar_component_clause,[],[f5555]) ).
fof(f5559,definition,
( spl15_160
<=> aElementOf0(sdtpldt0(sK2(xy),sz00),xI) ),
introduced(definition,[new_symbols(definition,[spl15_160])],[avatar_definition]) ).
fof(f5561,plain,
( ~ aElementOf0(sdtpldt0(sK2(xy),sz00),xI)
| spl15_160 ),
inference(avatar_component_clause,[],[f5559]) ).
fof(f5562,plain,
( ~ spl15_159
| ~ spl15_160
| ~ spl15_2
| ~ spl15_9
| ~ spl15_38 ),
inference(avatar_split_clause,[],[f5552,f1017,f243,f194,f5559,f5555]) ).
fof(f5565,plain,
( ~ aElement0(sK3(xy))
| ~ aElementOf0(sK3(xy),xJ)
| ~ spl15_38
| spl15_159 ),
inference(resolution,[],[f5557,f1018]) ).
fof(f5568,plain,
( ~ aElementOf0(sK3(xy),xJ)
| ~ spl15_38
| ~ spl15_156
| spl15_159 ),
inference(forward_subsumption_resolution,[],[f5565,f5306]) ).
fof(f5570,plain,
( ~ aElement0(xy)
| ~ spl15_38
| ~ spl15_156
| spl15_159 ),
inference(resolution,[],[f5568,f107]) ).
fof(f5572,plain,
( $false
| ~ spl15_38
| ~ spl15_156
| spl15_159 ),
inference(forward_subsumption_resolution,[],[f5570,f109]) ).
fof(f5573,plain,
( ~ spl15_38
| ~ spl15_156
| spl15_159 ),
inference(avatar_contradiction_clause,[],[f5572]) ).
fof(f5582,plain,
( ~ aElementOf0(sK2(xy),xI)
| ~ aElement0(sK2(xy))
| spl15_160 ),
inference(superposition,[],[f5561,f154]) ).
fof(f5587,plain,
( ~ aElement0(sK2(xy))
| ~ spl15_132
| spl15_160 ),
inference(forward_subsumption_resolution,[],[f5582,f3767]) ).
fof(f5592,plain,
( $false
| ~ spl15_132
| spl15_160 ),
inference(forward_subsumption_resolution,[],[f5587,f3781]) ).
fof(f5593,plain,
( ~ spl15_132
| spl15_160 ),
inference(avatar_contradiction_clause,[],[f5592]) ).
cnf(s25,plain,
spl15_2,
inference(sat_conversion,[],[f624]) ).
cnf(s37,plain,
spl15_5,
inference(sat_conversion,[],[f728]) ).
cnf(s48,plain,
( ~ spl15_36
| spl15_37 ),
inference(sat_conversion,[],[f1015]) ).
cnf(s49,plain,
( ~ spl15_36
| spl15_38 ),
inference(sat_conversion,[],[f1019]) ).
cnf(s52,plain,
spl15_36,
inference(sat_conversion,[],[f1038]) ).
cnf(s82,plain,
( ~ spl15_5
| ~ spl15_6
| ~ spl15_37
| ~ spl15_54
| ~ spl15_55 ),
inference(sat_conversion,[],[f2462]) ).
cnf(s114,plain,
( spl15_55
| ~ spl15_79
| ~ spl15_80 ),
inference(sat_conversion,[],[f2689]) ).
cnf(s117,plain,
spl15_80,
inference(sat_conversion,[],[f2697]) ).
cnf(s118,plain,
( spl15_79
| ~ spl15_80 ),
inference(sat_conversion,[],[f2702]) ).
cnf(s119,plain,
( ~ spl15_37
| spl15_54
| ~ spl15_81
| ~ spl15_82 ),
inference(sat_conversion,[],[f2726]) ).
cnf(s120,plain,
spl15_81,
inference(sat_conversion,[],[f2730]) ).
cnf(s121,plain,
( ~ spl15_81
| spl15_82 ),
inference(sat_conversion,[],[f2735]) ).
cnf(s127,plain,
( spl15_6
| ~ spl15_8 ),
inference(sat_conversion,[],[f2775]) ).
cnf(s167,plain,
( spl15_8
| spl15_129 ),
inference(sat_conversion,[],[f3447]) ).
cnf(s168,plain,
( spl15_9
| ~ spl15_129 ),
inference(sat_conversion,[],[f3482]) ).
cnf(s173,plain,
spl15_132,
inference(sat_conversion,[],[f3778]) ).
cnf(s238,plain,
spl15_156,
inference(sat_conversion,[],[f5334]) ).
cnf(s239,plain,
( ~ spl15_2
| ~ spl15_9
| ~ spl15_38
| ~ spl15_159
| ~ spl15_160 ),
inference(sat_conversion,[],[f5562]) ).
cnf(s240,plain,
( ~ spl15_38
| ~ spl15_156
| spl15_159 ),
inference(sat_conversion,[],[f5573]) ).
cnf(s241,plain,
( ~ spl15_132
| spl15_160 ),
inference(sat_conversion,[],[f5593]) ).
cnf(s249,plain,
spl15_160,
inference(rat,[],[s241,s173]) ).
cnf(s264,plain,
spl15_82,
inference(rat,[],[s121,s120]) ).
cnf(s265,plain,
( ~ spl15_37
| spl15_54 ),
inference(rat,[],[s119,s264,s120]) ).
cnf(s266,plain,
spl15_79,
inference(rat,[],[s118,s117]) ).
cnf(s269,plain,
spl15_55,
inference(rat,[],[s114,s117,s266]) ).
cnf(s270,plain,
( ~ spl15_5
| ~ spl15_6
| ~ spl15_37
| ~ spl15_54 ),
inference(rat,[],[s82,s269]) ).
cnf(s273,plain,
spl15_38,
inference(rat,[],[s49,s52]) ).
cnf(s274,plain,
spl15_159,
inference(rat,[],[s240,s238,s273]) ).
cnf(s283,plain,
spl15_37,
inference(rat,[],[s48,s52]) ).
cnf(s286,plain,
spl15_54,
inference(rat,[],[s265,s283]) ).
cnf(s296,plain,
~ spl15_6,
inference(rat,[],[s270,s286,s283,s37]) ).
cnf(s298,plain,
~ spl15_8,
inference(rat,[],[s127,s296]) ).
cnf(s300,plain,
spl15_129,
inference(rat,[],[s167,s298]) ).
cnf(s302,plain,
spl15_9,
inference(rat,[],[s168,s300]) ).
cnf(s303,plain,
~ spl15_2,
inference(rat,[],[s239,s249,s274,s273,s302]) ).
cnf(s304,plain,
$false,
inference(rat,[],[s25,s303]) ).
fof(f5599,plain,
$false,
inference(avatar_sat_refutation,[],[s304]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG094+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n026.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 23:16:57 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.97/2.54 % (3320819)Detected formulas, will run a generic FOF schedule.
% 11.97/2.54 % (3320830)dis-21_1_sil=8000:lcm=predicate:random_seed=1934763885:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 11.97/2.54 % (3320830)Instruction limit reached!
% 11.97/2.54 % (3320830)------------------------------
% 11.97/2.54 % (3320830)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.97/2.54 % (3320830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.97/2.54 % (3320830)CaDiCaL version: 2.1.3
% 11.97/2.54 % (3320830)Termination reason: Instruction limit
% 11.97/2.54 % (3320830)Termination phase: Saturation
% 11.97/2.54 % (3320830)Time elapsed: 0.036 s
% 11.97/2.54 % (3320830)Peak memory usage: 90 MB
% 11.97/2.54 % (3320830)Instructions burned: 130 (million)
% 11.97/2.54 % (3320827)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3544597751:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.97/2.54 % (3320828)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1483491463:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.97/2.54 % (3320824)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3734989026:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.97/2.54 % (3320825)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3800177410:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.97/2.54 % (3320826)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3116197160:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.97/2.54 % (3320829)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3180268459:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.97/2.54 % (3320829)Instruction limit reached!
% 11.97/2.54 % (3320829)------------------------------
% 11.97/2.54 % (3320829)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.97/2.54 % (3320829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.97/2.54 % (3320829)CaDiCaL version: 2.1.3
% 11.97/2.54 % (3320829)Termination reason: Instruction limit
% 11.97/2.54 % (3320829)Termination phase: Saturation
% 11.97/2.54 % (3320829)Time elapsed: 0.052 s
% 11.97/2.54 % (3320829)Peak memory usage: 90 MB
% 11.97/2.54 % (3320829)Instructions burned: 140 (million)
% 11.97/2.54 % (3320827)Instruction limit reached!
% 11.97/2.54 % (3320827)------------------------------
% 11.97/2.54 % (3320827)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.97/2.54 % (3320827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.97/2.54 % (3320827)CaDiCaL version: 2.1.3
% 11.97/2.54 % (3320827)Termination reason: Instruction limit
% 11.97/2.54 % (3320827)Termination phase: Saturation
% 11.97/2.54 % (3320827)Time elapsed: 0.072 s
% 11.97/2.54 % (3320827)Peak memory usage: 89 MB
% 11.97/2.54 % (3320827)Instructions burned: 109 (million)
% 11.97/2.54 % (3320828)Instruction limit reached!
% 11.97/2.54 % (3320828)------------------------------
% 11.97/2.54 % (3320828)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.97/2.54 % (3320828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.97/2.54 % (3320828)CaDiCaL version: 2.1.3
% 11.97/2.54 % (3320828)Termination reason: Instruction limit
% 11.97/2.54 % (3320828)Termination phase: Saturation
% 11.97/2.54 % (3320828)Time elapsed: 0.074 s
% 11.97/2.54 % (3320828)Peak memory usage: 89 MB
% 11.97/2.54 % (3320828)Instructions burned: 120 (million)
% 11.97/2.54 % (3320838)lrs+10_1_sil=8000:sp=occurrence:random_seed=552317644:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 11.97/2.54 % (3320839)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2873034733:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 11.97/2.54 % (3320839)Instruction limit reached!
% 11.97/2.54 % (3320839)------------------------------
% 11.97/2.54 % (3320839)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.97/2.54 % (3320839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.97/2.54 % (3320839)CaDiCaL version: 2.1.3
% 11.97/2.54 % (3320839)Termination reason: Instruction limit
% 11.97/2.54 % (3320839)Termination phase: Saturation
% 15.78/3.12 % (3320839)Time elapsed: 0.039 s
% 15.78/3.12 % (3320839)Peak memory usage: 91 MB
% 15.78/3.12 % (3320839)Instructions burned: 157 (million)
% 15.78/3.12 % (3320840)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3312534776:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 15.78/3.12 % (3320841)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3486374806:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 15.78/3.12 % (3320844)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=390450291:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 15.78/3.12 % (3320838)Instruction limit reached!
% 15.78/3.12 % (3320838)------------------------------
% 15.78/3.12 % (3320838)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.78/3.12 % (3320838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.78/3.12 % (3320838)CaDiCaL version: 2.1.3
% 15.78/3.12 % (3320838)Termination reason: Instruction limit
% 15.78/3.12 % (3320838)Termination phase: Saturation
% 15.78/3.12 % (3320838)Time elapsed: 0.167 s
% 15.78/3.12 % (3320838)Peak memory usage: 93 MB
% 15.78/3.12 % (3320838)Instructions burned: 286 (million)
% 15.78/3.12 % (3320841)Instruction limit reached!
% 15.78/3.12 % (3320841)------------------------------
% 15.78/3.12 % (3320841)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.78/3.12 % (3320841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.78/3.12 % (3320841)CaDiCaL version: 2.1.3
% 15.78/3.12 % (3320841)Termination reason: Instruction limit
% 15.78/3.12 % (3320841)Termination phase: Saturation
% 15.78/3.12 % (3320841)Time elapsed: 0.120 s
% 15.78/3.12 % (3320841)Peak memory usage: 94 MB
% 15.78/3.12 % (3320841)Instructions burned: 249 (million)
% 15.78/3.12 % (3320844)Instruction limit reached!
% 15.78/3.12 % (3320844)------------------------------
% 15.78/3.12 % (3320844)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.78/3.12 % (3320844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.78/3.12 % (3320844)CaDiCaL version: 2.1.3
% 15.78/3.12 % (3320844)Termination reason: Instruction limit
% 15.78/3.12 % (3320844)Termination phase: Saturation
% 15.78/3.12 % (3320844)Time elapsed: 0.097 s
% 15.78/3.12 % (3320844)Peak memory usage: 90 MB
% 15.78/3.12 % (3320844)Instructions burned: 297 (million)
% 15.78/3.12 % (3320840)Instruction limit reached!
% 15.78/3.12 % (3320840)------------------------------
% 15.78/3.12 % (3320840)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.78/3.12 % (3320840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.78/3.12 % (3320840)CaDiCaL version: 2.1.3
% 15.78/3.12 % (3320840)Termination reason: Instruction limit
% 15.78/3.12 % (3320840)Termination phase: Saturation
% 15.78/3.12 % (3320840)Time elapsed: 0.202 s
% 15.78/3.12 % (3320840)Peak memory usage: 93 MB
% 15.78/3.12 % (3320840)Instructions burned: 325 (million)
% 15.78/3.12 % (3320848)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1790164114:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 15.78/3.12 % (3320850)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=990643463:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 15.78/3.12 % (3320849)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3645723506:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 15.78/3.12 % (3320850)Instruction limit reached!
% 15.78/3.12 % (3320850)------------------------------
% 15.78/3.12 % (3320850)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.78/3.12 % (3320850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.78/3.12 % (3320850)CaDiCaL version: 2.1.3
% 15.78/3.12 % (3320850)Termination reason: Instruction limit
% 15.78/3.12 % (3320850)Termination phase: Saturation
% 15.78/3.12 % (3320850)Time elapsed: 0.036 s
% 15.78/3.12 % (3320850)Peak memory usage: 89 MB
% 15.78/3.12 % (3320850)Instructions burned: 128 (million)
% 15.78/3.12 % (3320851)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3121731926:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 15.78/3.12 % (3320849)Instruction limit reached!
% 15.78/3.12 % (3320849)------------------------------
% 15.78/3.12 % (3320849)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.78/3.12 % (3320849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.78/3.12 % (3320849)CaDiCaL version: 2.1.3
% 15.78/3.12 % (3320849)Termination reason: Instruction limit
% 15.78/3.12 % (3320849)Termination phase: Saturation
% 15.78/3.12 % (3320849)Time elapsed: 0.079 s
% 15.78/3.12 % (3320849)Peak memory usage: 90 MB
% 15.78/3.12 % (3320849)Instructions burned: 113 (million)
% 15.78/3.12 % (3320855)lrs+10_1_sil=8000:sp=occurrence:random_seed=1820087923:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 15.78/3.12 % (3320851)Instruction limit reached!
% 15.78/3.12 % (3320851)------------------------------
% 15.78/3.12 % (3320851)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.78/3.12 % (3320851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.78/3.12 % (3320851)CaDiCaL version: 2.1.3
% 15.78/3.12 % (3320851)Termination reason: Instruction limit
% 15.78/3.12 % (3320851)Termination phase: Saturation
% 15.78/3.12 % (3320851)Time elapsed: 0.068 s
% 15.78/3.12 % (3320851)Peak memory usage: 89 MB
% 15.78/3.12 % (3320851)Instructions burned: 114 (million)
% 15.78/3.12 % (3320857)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1966618468:i=437:sd=1:aac=none:ss=included_2993 on theBenchmark for (2993ds/437Mi)
% 15.78/3.12 % (3320859)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3190742319:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 15.78/3.12 % (3320855)Instruction limit reached!
% 15.78/3.12 % (3320855)------------------------------
% 15.78/3.12 % (3320855)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.78/3.12 % (3320855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.78/3.12 % (3320855)CaDiCaL version: 2.1.3
% 15.78/3.12 % (3320855)Termination reason: Instruction limit
% 15.78/3.12 % (3320855)Termination phase: Saturation
% 15.78/3.12 % (3320855)Time elapsed: 0.273 s
% 15.78/3.12 % (3320855)Peak memory usage: 101 MB
% 15.78/3.12 % (3320855)Instructions burned: 908 (million)
% 15.78/3.12 % (3320862)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=348648359:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2990 on theBenchmark for (2990ds/134Mi)
% 15.78/3.12 % (3320857)Instruction limit reached!
% 15.78/3.12 % (3320857)------------------------------
% 15.78/3.12 % (3320857)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.78/3.12 % (3320857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.78/3.12 % (3320857)CaDiCaL version: 2.1.3
% 15.78/3.12 % (3320857)Termination reason: Instruction limit
% 15.78/3.12 % (3320857)Termination phase: Saturation
% 15.78/3.12 % (3320857)Time elapsed: 0.272 s
% 15.78/3.12 % (3320857)Peak memory usage: 92 MB
% 15.78/3.12 % (3320857)Instructions burned: 438 (million)
% 15.78/3.12 % (3320862)Instruction limit reached!
% 15.78/3.12 % (3320862)------------------------------
% 15.78/3.12 % (3320862)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.78/3.12 % (3320862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.78/3.12 % (3320862)CaDiCaL version: 2.1.3
% 15.78/3.12 % (3320862)Termination reason: Instruction limit
% 15.78/3.12 % (3320862)Termination phase: Saturation
% 15.78/3.12 % (3320862)Time elapsed: 0.034 s
% 15.78/3.12 % (3320862)Peak memory usage: 91 MB
% 15.78/3.12 % (3320862)Instructions burned: 135 (million)
% 15.78/3.12 % (3320865)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3456496732:st=3:i=13193:sd=3:ss=axioms_2988 on theBenchmark for (2988ds/13193Mi)
% 15.78/3.12 % (3320864)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=806867121:st=8:i=592:sd=3:ep=RST:ss=axioms_2988 on theBenchmark for (2988ds/592Mi)
% 15.78/3.12 % (3320864)Instruction limit reached!
% 15.78/3.12 % (3320864)------------------------------
% 15.78/3.12 % (3320864)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.78/3.12 % (3320864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.78/3.12 % (3320864)CaDiCaL version: 2.1.3
% 15.78/3.12 % (3320864)Termination reason: Instruction limit
% 15.78/3.12 % (3320864)Termination phase: Saturation
% 15.78/3.12 % (3320864)Time elapsed: 0.326 s
% 15.78/3.12 % (3320864)Peak memory usage: 98 MB
% 15.78/3.12 % (3320864)Instructions burned: 593 (million)
% 15.78/3.12 % (3320868)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=1104479812:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2984 on theBenchmark for (2984ds/125Mi)
% 15.78/3.12 % (3320868)Instruction limit reached!
% 15.78/3.12 % (3320868)------------------------------
% 15.78/3.12 % (3320868)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.78/3.12 % (3320868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.78/3.12 % (3320868)CaDiCaL version: 2.1.3
% 15.78/3.12 % (3320868)Termination reason: Instruction limit
% 15.78/3.12 % (3320868)Termination phase: Saturation
% 15.78/3.12 % (3320868)Time elapsed: 0.069 s
% 15.78/3.12 % (3320868)Peak memory usage: 91 MB
% 15.78/3.12 % (3320868)Instructions burned: 126 (million)
% 15.78/3.12 % (3320870)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=724504287:i=134:gtgl=5:slsql=off:gtg=exists_sym_2982 on theBenchmark for (2982ds/134Mi)
% 15.78/3.12 % (3320870)Instruction limit reached!
% 15.78/3.12 % (3320870)------------------------------
% 15.78/3.12 % (3320870)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.78/3.12 % (3320870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.78/3.12 % (3320870)CaDiCaL version: 2.1.3
% 15.78/3.12 % (3320870)Termination reason: Instruction limit
% 15.78/3.12 % (3320870)Termination phase: Saturation
% 15.78/3.12 % (3320870)Time elapsed: 0.072 s
% 15.78/3.12 % (3320870)Peak memory usage: 90 MB
% 15.78/3.12 % (3320870)Instructions burned: 135 (million)
% 15.78/3.12 % (3320859)First to succeed.
% 15.78/3.12 % (3320859)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3320819"
% 15.78/3.12 % (3320848)Instruction limit reached!
% 15.78/3.12 % (3320848)------------------------------
% 15.78/3.12 % (3320848)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.78/3.12 % (3320848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.78/3.12 % (3320848)CaDiCaL version: 2.1.3
% 15.78/3.12 % (3320848)Termination reason: Instruction limit
% 15.78/3.12 % (3320848)Termination phase: Saturation
% 15.78/3.12 % (3320848)Time elapsed: 1.458 s
% 15.78/3.12 % (3320848)Peak memory usage: 144 MB
% 15.78/3.12 % (3320848)Instructions burned: 2352 (million)
% 15.78/3.12 % (3320872)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=97251545:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/141Mi)
% 15.78/3.12 % (3320873)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3249832371:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2979 on theBenchmark for (2979ds/431Mi)
% 15.78/3.12 % (3320872)Instruction limit reached!
% 15.78/3.12 % (3320872)------------------------------
% 15.78/3.12 % (3320872)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.78/3.12 % (3320872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.78/3.12 % (3320872)CaDiCaL version: 2.1.3
% 15.78/3.12 % (3320872)Termination reason: Instruction limit
% 15.78/3.12 % (3320872)Termination phase: Saturation
% 15.78/3.12 % (3320872)Time elapsed: 0.083 s
% 15.78/3.12 % (3320872)Peak memory usage: 92 MB
% 15.78/3.12 % (3320872)Instructions burned: 142 (million)
% 15.78/3.12 % (3320859)Refutation found. Thanks to Tanya!
% 15.78/3.12 % SZS status Theorem for theBenchmark
% 15.78/3.12 % SZS output start Proof for theBenchmark
% See solution above
% 16.50/3.21 % (3320859)------------------------------
% 16.50/3.21 % (3320859)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.50/3.21 % (3320859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.50/3.21 % (3320859)CaDiCaL version: 2.1.3
% 16.50/3.21 % (3320859)Termination reason: Refutation
% 16.50/3.21 % (3320859)Time elapsed: 1.123 s
% 16.50/3.21 % (3320859)Peak memory usage: 136 MB
% 16.50/3.21 % (3320859)Instructions burned: 1681 (million)
% 16.50/3.21 % (3320859)------------------------------
% 16.50/3.21 % (3320859)------------------------------
% 16.50/3.21 % (3320819)Success in time 2.259 s
% 16.50/3.21 % Vampire exiting
%------------------------------------------------------------------------------