TSTP Solution File: RNG064+2 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : RNG064+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n031.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 13:55:01 EDT 2023
% Result : Theorem 86.25s 12.34s
% Output : CNFRefutation 86.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 25
% Syntax : Number of formulae : 198 ( 54 unt; 0 def)
% Number of atoms : 608 ( 110 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 750 ( 340 ~; 335 |; 58 &)
% ( 0 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 12 con; 0-2 aty)
% Number of variables : 217 ( 5 sgn; 106 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSZeroSc) ).
fof(f10,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> aScalar0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSumSc) ).
fof(f11,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> aScalar0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulSc) ).
fof(f12,axiom,
! [X0] :
( aScalar0(X0)
=> aScalar0(smndt0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNegSc) ).
fof(f13,axiom,
! [X0] :
( aScalar0(X0)
=> ( sz0z00 = smndt0(sz0z00)
& smndt0(smndt0(X0)) = X0
& sz0z00 = sdtpldt0(smndt0(X0),X0)
& sz0z00 = sdtpldt0(X0,smndt0(X0))
& sz0z00 = sdtasdt0(sz0z00,X0)
& sz0z00 = sdtasdt0(X0,sz0z00)
& sdtpldt0(sz0z00,X0) = X0
& sdtpldt0(X0,sz0z00) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mScZero) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
& sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
& sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
& sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mArith) ).
fof(f20,axiom,
! [X0] :
( aScalar0(X0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLERef) ).
fof(f22,axiom,
! [X0,X1,X2] :
( ( aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETrn) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( ( aScalar0(X3)
& aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(X2,X3)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEMon) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( ( aScalar0(X3)
& aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(X2,X3)
& sdtlseqdt0(sz0z00,X2)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEMonM) ).
fof(f26,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(sz0z00,X1)
& sdtlseqdt0(sz0z00,X0) )
=> ( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
& sdtlseqdt0(sz0z00,sdtpldt0(X0,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mPosMon) ).
fof(f27,axiom,
! [X0] :
( aScalar0(X0)
=> sdtlseqdt0(sz0z00,sdtasdt0(X0,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSqPos) ).
fof(f37,axiom,
! [X0] :
( aVector0(X0)
=> sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mScSqPos) ).
fof(f42,axiom,
( xp = sziznziztdt0(xs)
& ! [X0] :
( aNaturalNumber0(X0)
=> sdtlbdtrb0(xp,X0) = sdtlbdtrb0(xs,X0) )
& aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(xp))
& aVector0(xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1709) ).
fof(f45,axiom,
( xB = sdtlbdtrb0(xt,aDimensionOf0(xt))
& aScalar0(xB) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1766) ).
fof(f46,axiom,
( xC = sdtasasdt0(xp,xp)
& aScalar0(xC) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1783) ).
fof(f50,axiom,
( xG = sdtasdt0(xB,xB)
& aScalar0(xG) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1854) ).
fof(f52,axiom,
( xR = sdtasdt0(xC,xG)
& aScalar0(xR) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1892) ).
fof(f54,axiom,
( xS = sdtasdt0(xF,xD)
& aScalar0(xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1930) ).
fof(f55,axiom,
( xN = sdtasdt0(xR,xS)
& aScalar0(xN) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1949) ).
fof(f58,axiom,
( sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS)
& smndt0(xN) = sdtasdt0(smndt0(xS),xR)
& sdtasdt0(xR,smndt0(xS)) = smndt0(xN) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2144) ).
fof(f64,conjecture,
sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f65,negated_conjecture,
~ sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
inference(negated_conjecture,[],[f64]) ).
fof(f71,plain,
~ sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
inference(flattening,[],[f65]) ).
fof(f78,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f79,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f78]) ).
fof(f80,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f81,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f80]) ).
fof(f82,plain,
! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f83,plain,
! [X0] :
( ( sz0z00 = smndt0(sz0z00)
& smndt0(smndt0(X0)) = X0
& sz0z00 = sdtpldt0(smndt0(X0),X0)
& sz0z00 = sdtpldt0(X0,smndt0(X0))
& sz0z00 = sdtasdt0(sz0z00,X0)
& sz0z00 = sdtasdt0(X0,sz0z00)
& sdtpldt0(sz0z00,X0) = X0
& sdtpldt0(X0,sz0z00) = X0 )
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f84,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
& sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
& sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
& sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f85,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
& sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
& sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
& sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f84]) ).
fof(f94,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f97,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f98,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f97]) ).
fof(f99,plain,
! [X0,X1,X2,X3] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3))
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f100,plain,
! [X0,X1,X2,X3] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3))
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f99]) ).
fof(f101,plain,
! [X0,X1,X2,X3] :
( sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3))
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f102,plain,
! [X0,X1,X2,X3] :
( sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3))
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f101]) ).
fof(f105,plain,
! [X0,X1] :
( ( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
& sdtlseqdt0(sz0z00,sdtpldt0(X0,X1)) )
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f106,plain,
! [X0,X1] :
( ( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
& sdtlseqdt0(sz0z00,sdtpldt0(X0,X1)) )
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f105]) ).
fof(f107,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f123,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f126,plain,
( xp = sziznziztdt0(xs)
& ! [X0] :
( sdtlbdtrb0(xp,X0) = sdtlbdtrb0(xs,X0)
| ~ aNaturalNumber0(X0) )
& aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(xp))
& aVector0(xp) ),
inference(ennf_transformation,[],[f42]) ).
fof(f142,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f9]) ).
fof(f143,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f144,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f145,plain,
! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f146,plain,
! [X0] :
( sdtpldt0(X0,sz0z00) = X0
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f147,plain,
! [X0] :
( sdtpldt0(sz0z00,X0) = X0
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f148,plain,
! [X0] :
( sz0z00 = sdtasdt0(X0,sz0z00)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f149,plain,
! [X0] :
( sz0z00 = sdtasdt0(sz0z00,X0)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f151,plain,
! [X0] :
( sz0z00 = sdtpldt0(smndt0(X0),X0)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f155,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f157,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f164,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f166,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f167,plain,
! [X2,X3,X0,X1] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3))
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f168,plain,
! [X2,X3,X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3))
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f170,plain,
! [X0,X1] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f171,plain,
! [X0,X1] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f172,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f185,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f191,plain,
aVector0(xp),
inference(cnf_transformation,[],[f126]) ).
fof(f201,plain,
aScalar0(xB),
inference(cnf_transformation,[],[f45]) ).
fof(f203,plain,
aScalar0(xC),
inference(cnf_transformation,[],[f46]) ).
fof(f204,plain,
xC = sdtasasdt0(xp,xp),
inference(cnf_transformation,[],[f46]) ).
fof(f211,plain,
aScalar0(xG),
inference(cnf_transformation,[],[f50]) ).
fof(f212,plain,
xG = sdtasdt0(xB,xB),
inference(cnf_transformation,[],[f50]) ).
fof(f215,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f52]) ).
fof(f216,plain,
xR = sdtasdt0(xC,xG),
inference(cnf_transformation,[],[f52]) ).
fof(f219,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f54]) ).
fof(f221,plain,
aScalar0(xN),
inference(cnf_transformation,[],[f55]) ).
fof(f226,plain,
smndt0(xN) = sdtasdt0(smndt0(xS),xR),
inference(cnf_transformation,[],[f58]) ).
fof(f233,plain,
~ sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
inference(cnf_transformation,[],[f71]) ).
cnf(c_56,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f142]) ).
cnf(c_57,plain,
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| aScalar0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f143]) ).
cnf(c_58,plain,
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| aScalar0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f144]) ).
cnf(c_59,plain,
( ~ aScalar0(X0)
| aScalar0(smndt0(X0)) ),
inference(cnf_transformation,[],[f145]) ).
cnf(c_62,plain,
( ~ aScalar0(X0)
| sdtpldt0(smndt0(X0),X0) = sz0z00 ),
inference(cnf_transformation,[],[f151]) ).
cnf(c_64,plain,
( ~ aScalar0(X0)
| sdtasdt0(sz0z00,X0) = sz0z00 ),
inference(cnf_transformation,[],[f149]) ).
cnf(c_65,plain,
( ~ aScalar0(X0)
| sdtasdt0(X0,sz0z00) = sz0z00 ),
inference(cnf_transformation,[],[f148]) ).
cnf(c_66,plain,
( ~ aScalar0(X0)
| sdtpldt0(sz0z00,X0) = X0 ),
inference(cnf_transformation,[],[f147]) ).
cnf(c_67,plain,
( ~ aScalar0(X0)
| sdtpldt0(X0,sz0z00) = X0 ),
inference(cnf_transformation,[],[f146]) ).
cnf(c_68,plain,
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f157]) ).
cnf(c_70,plain,
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(cnf_transformation,[],[f155]) ).
cnf(c_78,plain,
( ~ aScalar0(X0)
| sdtlseqdt0(X0,X0) ),
inference(cnf_transformation,[],[f164]) ).
cnf(c_80,plain,
( ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| sdtlseqdt0(X0,X2) ),
inference(cnf_transformation,[],[f166]) ).
cnf(c_81,plain,
( ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3)) ),
inference(cnf_transformation,[],[f167]) ).
cnf(c_82,plain,
( ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3)) ),
inference(cnf_transformation,[],[f168]) ).
cnf(c_84,plain,
( ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtlseqdt0(sz0z00,sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f171]) ).
cnf(c_85,plain,
( ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtlseqdt0(sz0z00,sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f170]) ).
cnf(c_86,plain,
( ~ aScalar0(X0)
| sdtlseqdt0(sz0z00,sdtasdt0(X0,X0)) ),
inference(cnf_transformation,[],[f172]) ).
cnf(c_99,plain,
( ~ aVector0(X0)
| sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0)) ),
inference(cnf_transformation,[],[f185]) ).
cnf(c_108,plain,
aVector0(xp),
inference(cnf_transformation,[],[f191]) ).
cnf(c_116,plain,
aScalar0(xB),
inference(cnf_transformation,[],[f201]) ).
cnf(c_117,plain,
sdtasasdt0(xp,xp) = xC,
inference(cnf_transformation,[],[f204]) ).
cnf(c_118,plain,
aScalar0(xC),
inference(cnf_transformation,[],[f203]) ).
cnf(c_125,plain,
sdtasdt0(xB,xB) = xG,
inference(cnf_transformation,[],[f212]) ).
cnf(c_126,plain,
aScalar0(xG),
inference(cnf_transformation,[],[f211]) ).
cnf(c_129,plain,
sdtasdt0(xC,xG) = xR,
inference(cnf_transformation,[],[f216]) ).
cnf(c_130,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f215]) ).
cnf(c_134,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f219]) ).
cnf(c_136,plain,
aScalar0(xN),
inference(cnf_transformation,[],[f221]) ).
cnf(c_140,plain,
sdtasdt0(smndt0(xS),xR) = smndt0(xN),
inference(cnf_transformation,[],[f226]) ).
cnf(c_147,negated_conjecture,
~ sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
inference(cnf_transformation,[],[f233]) ).
cnf(c_150,plain,
( ~ aScalar0(xS)
| aScalar0(smndt0(xS)) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_154,plain,
( ~ aScalar0(xS)
| sdtlseqdt0(sz0z00,sdtasdt0(xS,xS)) ),
inference(instantiation,[status(thm)],[c_86]) ).
cnf(c_165,plain,
( ~ aScalar0(xS)
| aScalar0(sdtasdt0(xS,xS)) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_1552,plain,
sdtasdt0(smndt0(xS),xR) = smndt0(xN),
inference(subtyping,[status(esa)],[c_140]) ).
cnf(c_1556,plain,
aScalar0(xN),
inference(subtyping,[status(esa)],[c_136]) ).
cnf(c_1558,plain,
aScalar0(xS),
inference(subtyping,[status(esa)],[c_134]) ).
cnf(c_1562,plain,
aScalar0(xR),
inference(subtyping,[status(esa)],[c_130]) ).
cnf(c_1563,plain,
sdtasdt0(xC,xG) = xR,
inference(subtyping,[status(esa)],[c_129]) ).
cnf(c_1566,plain,
aScalar0(xG),
inference(subtyping,[status(esa)],[c_126]) ).
cnf(c_1567,plain,
sdtasdt0(xB,xB) = xG,
inference(subtyping,[status(esa)],[c_125]) ).
cnf(c_1574,plain,
aScalar0(xC),
inference(subtyping,[status(esa)],[c_118]) ).
cnf(c_1575,plain,
sdtasasdt0(xp,xp) = xC,
inference(subtyping,[status(esa)],[c_117]) ).
cnf(c_1576,plain,
aScalar0(xB),
inference(subtyping,[status(esa)],[c_116]) ).
cnf(c_1582,plain,
aVector0(xp),
inference(subtyping,[status(esa)],[c_108]) ).
cnf(c_1590,plain,
( ~ aVector0(X0_14)
| sdtlseqdt0(sz0z00,sdtasasdt0(X0_14,X0_14)) ),
inference(subtyping,[status(esa)],[c_99]) ).
cnf(c_1603,plain,
( ~ aScalar0(X0_15)
| sdtlseqdt0(sz0z00,sdtasdt0(X0_15,X0_15)) ),
inference(subtyping,[status(esa)],[c_86]) ).
cnf(c_1604,plain,
( ~ sdtlseqdt0(sz0z00,X0_15)
| ~ sdtlseqdt0(sz0z00,X1_15)
| ~ aScalar0(X0_15)
| ~ aScalar0(X1_15)
| sdtlseqdt0(sz0z00,sdtpldt0(X0_15,X1_15)) ),
inference(subtyping,[status(esa)],[c_85]) ).
cnf(c_1605,plain,
( ~ sdtlseqdt0(sz0z00,X0_15)
| ~ sdtlseqdt0(sz0z00,X1_15)
| ~ aScalar0(X0_15)
| ~ aScalar0(X1_15)
| sdtlseqdt0(sz0z00,sdtasdt0(X0_15,X1_15)) ),
inference(subtyping,[status(esa)],[c_84]) ).
cnf(c_1607,plain,
( ~ sdtlseqdt0(X0_15,X1_15)
| ~ sdtlseqdt0(X2_15,X3_15)
| ~ sdtlseqdt0(sz0z00,X2_15)
| ~ aScalar0(X0_15)
| ~ aScalar0(X1_15)
| ~ aScalar0(X2_15)
| ~ aScalar0(X3_15)
| sdtlseqdt0(sdtasdt0(X0_15,X2_15),sdtasdt0(X1_15,X3_15)) ),
inference(subtyping,[status(esa)],[c_82]) ).
cnf(c_1608,plain,
( ~ sdtlseqdt0(X0_15,X1_15)
| ~ sdtlseqdt0(X2_15,X3_15)
| ~ aScalar0(X0_15)
| ~ aScalar0(X1_15)
| ~ aScalar0(X2_15)
| ~ aScalar0(X3_15)
| sdtlseqdt0(sdtpldt0(X0_15,X2_15),sdtpldt0(X1_15,X3_15)) ),
inference(subtyping,[status(esa)],[c_81]) ).
cnf(c_1609,plain,
( ~ sdtlseqdt0(X0_15,X1_15)
| ~ sdtlseqdt0(X1_15,X2_15)
| ~ aScalar0(X0_15)
| ~ aScalar0(X1_15)
| ~ aScalar0(X2_15)
| sdtlseqdt0(X0_15,X2_15) ),
inference(subtyping,[status(esa)],[c_80]) ).
cnf(c_1611,plain,
( ~ aScalar0(X0_15)
| sdtlseqdt0(X0_15,X0_15) ),
inference(subtyping,[status(esa)],[c_78]) ).
cnf(c_1619,plain,
( ~ aScalar0(X0_15)
| ~ aScalar0(X1_15)
| ~ aScalar0(X2_15)
| sdtpldt0(X0_15,X1_15) = sdtpldt0(X1_15,X0_15) ),
inference(subtyping,[status(esa)],[c_70]) ).
cnf(c_1621,plain,
( ~ aScalar0(X0_15)
| ~ aScalar0(X1_15)
| ~ aScalar0(X2_15)
| sdtasdt0(X0_15,X1_15) = sdtasdt0(X1_15,X0_15) ),
inference(subtyping,[status(esa)],[c_68]) ).
cnf(c_1622,plain,
( ~ aScalar0(X0_15)
| sdtpldt0(X0_15,sz0z00) = X0_15 ),
inference(subtyping,[status(esa)],[c_67]) ).
cnf(c_1623,plain,
( ~ aScalar0(X0_15)
| sdtpldt0(sz0z00,X0_15) = X0_15 ),
inference(subtyping,[status(esa)],[c_66]) ).
cnf(c_1624,plain,
( ~ aScalar0(X0_15)
| sdtasdt0(X0_15,sz0z00) = sz0z00 ),
inference(subtyping,[status(esa)],[c_65]) ).
cnf(c_1625,plain,
( ~ aScalar0(X0_15)
| sdtasdt0(sz0z00,X0_15) = sz0z00 ),
inference(subtyping,[status(esa)],[c_64]) ).
cnf(c_1627,plain,
( ~ aScalar0(X0_15)
| sdtpldt0(smndt0(X0_15),X0_15) = sz0z00 ),
inference(subtyping,[status(esa)],[c_62]) ).
cnf(c_1629,plain,
( ~ aScalar0(X0_15)
| aScalar0(smndt0(X0_15)) ),
inference(subtyping,[status(esa)],[c_59]) ).
cnf(c_1630,plain,
( ~ aScalar0(X0_15)
| ~ aScalar0(X1_15)
| aScalar0(sdtasdt0(X0_15,X1_15)) ),
inference(subtyping,[status(esa)],[c_58]) ).
cnf(c_1631,plain,
( ~ aScalar0(X0_15)
| ~ aScalar0(X1_15)
| aScalar0(sdtpldt0(X0_15,X1_15)) ),
inference(subtyping,[status(esa)],[c_57]) ).
cnf(c_1632,plain,
aScalar0(sz0z00),
inference(subtyping,[status(esa)],[c_56]) ).
cnf(c_1639,plain,
( ~ aScalar0(X0_15)
| ~ sP0_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_1621]) ).
cnf(c_1642,plain,
( ~ aScalar0(X0_15)
| ~ aScalar0(X1_15)
| sdtpldt0(X0_15,X1_15) = sdtpldt0(X1_15,X0_15)
| ~ sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_1619]) ).
cnf(c_1643,plain,
( sP0_iProver_split
| sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1619]) ).
cnf(c_1647,plain,
X0_15 = X0_15,
theory(equality) ).
cnf(c_1650,plain,
( X0_15 != X1_15
| X2_15 != X1_15
| X2_15 = X0_15 ),
theory(equality) ).
cnf(c_1657,plain,
( X0_15 != X1_15
| X2_15 != X3_15
| ~ sdtlseqdt0(X1_15,X3_15)
| sdtlseqdt0(X0_15,X2_15) ),
theory(equality) ).
cnf(c_1705,plain,
( ~ aScalar0(xS)
| ~ sP0_iProver_split ),
inference(instantiation,[status(thm)],[c_1639]) ).
cnf(c_1715,plain,
( sdtpldt0(X0_15,X1_15) = sdtpldt0(X1_15,X0_15)
| ~ aScalar0(X1_15)
| ~ aScalar0(X0_15) ),
inference(global_subsumption_just,[status(thm)],[c_1642,c_134,c_1705,c_1642,c_1643]) ).
cnf(c_1716,plain,
( ~ aScalar0(X0_15)
| ~ aScalar0(X1_15)
| sdtpldt0(X0_15,X1_15) = sdtpldt0(X1_15,X0_15) ),
inference(renaming,[status(thm)],[c_1715]) ).
cnf(c_2828,plain,
( ~ aScalar0(xB)
| sdtlseqdt0(sz0z00,xG) ),
inference(superposition,[status(thm)],[c_1567,c_1603]) ).
cnf(c_2829,plain,
sdtlseqdt0(sz0z00,xG),
inference(forward_subsumption_resolution,[status(thm)],[c_2828,c_1576]) ).
cnf(c_2831,plain,
( ~ aVector0(xp)
| sdtlseqdt0(sz0z00,xC) ),
inference(superposition,[status(thm)],[c_1575,c_1590]) ).
cnf(c_2834,plain,
sdtlseqdt0(sz0z00,xC),
inference(forward_subsumption_resolution,[status(thm)],[c_2831,c_1582]) ).
cnf(c_2853,plain,
sdtasdt0(sz0z00,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_1632,c_1625]) ).
cnf(c_2881,plain,
( ~ aScalar0(X0_15)
| sdtasdt0(smndt0(X0_15),sz0z00) = sz0z00 ),
inference(superposition,[status(thm)],[c_1629,c_1624]) ).
cnf(c_2895,plain,
sdtpldt0(sz0z00,xN) = xN,
inference(superposition,[status(thm)],[c_1556,c_1623]) ).
cnf(c_2930,plain,
( ~ aScalar0(smndt0(xS))
| ~ aScalar0(xR)
| aScalar0(smndt0(xN)) ),
inference(superposition,[status(thm)],[c_1552,c_1630]) ).
cnf(c_2937,plain,
( ~ aScalar0(smndt0(xS))
| aScalar0(smndt0(xN)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2930,c_1562]) ).
cnf(c_2955,plain,
sdtpldt0(smndt0(xN),xN) = sz0z00,
inference(superposition,[status(thm)],[c_1556,c_1627]) ).
cnf(c_3131,plain,
( ~ sdtlseqdt0(sz0z00,sdtasdt0(X0_15,X0_15))
| ~ aScalar0(sdtasdt0(X0_15,X0_15))
| ~ sdtlseqdt0(sz0z00,X1_15)
| ~ aScalar0(X1_15)
| sdtlseqdt0(sz0z00,sdtpldt0(X1_15,sdtasdt0(X0_15,X0_15))) ),
inference(instantiation,[status(thm)],[c_1604]) ).
cnf(c_3173,plain,
( sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)) != X0_15
| sdtpldt0(xN,xN) != X1_15
| ~ sdtlseqdt0(X1_15,X0_15)
| sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))) ),
inference(instantiation,[status(thm)],[c_1657]) ).
cnf(c_3289,plain,
( ~ sdtlseqdt0(sz0z00,xC)
| ~ sdtlseqdt0(sz0z00,xG)
| ~ aScalar0(xC)
| ~ aScalar0(xG)
| sdtlseqdt0(sz0z00,xR) ),
inference(superposition,[status(thm)],[c_1563,c_1605]) ).
cnf(c_3300,plain,
( ~ sdtlseqdt0(sz0z00,xC)
| ~ sdtlseqdt0(sz0z00,xG)
| sdtlseqdt0(sz0z00,xR) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3289,c_1566,c_1574]) ).
cnf(c_3395,plain,
( ~ aScalar0(xR)
| aScalar0(sdtasdt0(xR,xR)) ),
inference(instantiation,[status(thm)],[c_1630]) ).
cnf(c_3398,plain,
( ~ aScalar0(sdtasdt0(xR,xR))
| ~ aScalar0(sdtasdt0(xS,xS))
| aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))) ),
inference(instantiation,[status(thm)],[c_1631]) ).
cnf(c_3403,plain,
( sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)) != X0_15
| sdtpldt0(xN,xN) != sdtpldt0(xN,xN)
| ~ sdtlseqdt0(sdtpldt0(xN,xN),X0_15)
| sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))) ),
inference(instantiation,[status(thm)],[c_3173]) ).
cnf(c_3404,plain,
( ~ aScalar0(xN)
| sdtpldt0(xN,xN) = sdtpldt0(xN,xN) ),
inference(instantiation,[status(thm)],[c_1716]) ).
cnf(c_3673,plain,
( ~ sdtlseqdt0(X0_15,smndt0(xS))
| ~ sdtlseqdt0(X1_15,xR)
| ~ sdtlseqdt0(sz0z00,X1_15)
| ~ aScalar0(smndt0(xS))
| ~ aScalar0(X0_15)
| ~ aScalar0(X1_15)
| ~ aScalar0(xR)
| sdtlseqdt0(sdtasdt0(X0_15,X1_15),smndt0(xN)) ),
inference(superposition,[status(thm)],[c_1552,c_1607]) ).
cnf(c_3692,plain,
( ~ sdtlseqdt0(X0_15,smndt0(xS))
| ~ sdtlseqdt0(X1_15,xR)
| ~ sdtlseqdt0(sz0z00,X1_15)
| ~ aScalar0(smndt0(xS))
| ~ aScalar0(X0_15)
| ~ aScalar0(X1_15)
| sdtlseqdt0(sdtasdt0(X0_15,X1_15),smndt0(xN)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3673,c_1562]) ).
cnf(c_3804,plain,
( ~ sdtlseqdt0(xN,X0_15)
| ~ sdtlseqdt0(xN,X1_15)
| ~ aScalar0(X0_15)
| ~ aScalar0(X1_15)
| ~ aScalar0(xN)
| sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(X0_15,X1_15)) ),
inference(instantiation,[status(thm)],[c_1608]) ).
cnf(c_3850,plain,
( sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)) != X0_15
| X1_15 != X0_15
| sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)) = X1_15 ),
inference(instantiation,[status(thm)],[c_1650]) ).
cnf(c_3851,plain,
( sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)) != sdtpldt0(X0_15,X1_15)
| sdtpldt0(xN,xN) != sdtpldt0(xN,xN)
| ~ sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(X0_15,X1_15))
| sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))) ),
inference(instantiation,[status(thm)],[c_3403]) ).
cnf(c_4052,plain,
( ~ aScalar0(sz0z00)
| sdtlseqdt0(sz0z00,sz0z00) ),
inference(superposition,[status(thm)],[c_2853,c_1603]) ).
cnf(c_4058,plain,
sdtlseqdt0(sz0z00,sz0z00),
inference(forward_subsumption_resolution,[status(thm)],[c_4052,c_1632]) ).
cnf(c_4238,plain,
sdtasdt0(smndt0(xS),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_1558,c_2881]) ).
cnf(c_4267,plain,
( ~ sdtlseqdt0(sz0z00,X0_15)
| ~ sdtlseqdt0(xN,X1_15)
| ~ aScalar0(X0_15)
| ~ aScalar0(X1_15)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xN)
| sdtlseqdt0(xN,sdtpldt0(X0_15,X1_15)) ),
inference(superposition,[status(thm)],[c_2895,c_1608]) ).
cnf(c_4270,plain,
( ~ sdtlseqdt0(sz0z00,X0_15)
| ~ sdtlseqdt0(xN,X1_15)
| ~ aScalar0(X0_15)
| ~ aScalar0(X1_15)
| sdtlseqdt0(xN,sdtpldt0(X0_15,X1_15)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4267,c_1556,c_1632]) ).
cnf(c_4802,plain,
( ~ sdtlseqdt0(X0_15,X1_15)
| ~ sdtlseqdt0(xN,X0_15)
| ~ aScalar0(X0_15)
| ~ aScalar0(X1_15)
| ~ aScalar0(xN)
| sdtlseqdt0(xN,X1_15) ),
inference(instantiation,[status(thm)],[c_1609]) ).
cnf(c_4806,plain,
( ~ aScalar0(xN)
| sdtlseqdt0(xN,xN) ),
inference(instantiation,[status(thm)],[c_1611]) ).
cnf(c_5076,plain,
( sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)) != sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))
| X0_15 != sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))
| sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)) = X0_15 ),
inference(instantiation,[status(thm)],[c_3850]) ).
cnf(c_5077,plain,
sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)) = sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),
inference(instantiation,[status(thm)],[c_1647]) ).
cnf(c_5136,plain,
aScalar0(smndt0(xN)),
inference(global_subsumption_just,[status(thm)],[c_2937,c_134,c_150,c_2937]) ).
cnf(c_7584,plain,
( ~ sdtlseqdt0(sz0z00,sdtasdt0(xR,xR))
| ~ sdtlseqdt0(sz0z00,sdtasdt0(xS,xS))
| ~ aScalar0(sdtasdt0(xR,xR))
| ~ aScalar0(sdtasdt0(xS,xS))
| sdtlseqdt0(sz0z00,sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))) ),
inference(instantiation,[status(thm)],[c_3131]) ).
cnf(c_8002,plain,
( ~ sdtlseqdt0(X0_15,sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
| ~ aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
| ~ sdtlseqdt0(xN,X0_15)
| ~ aScalar0(X0_15)
| ~ aScalar0(xN)
| sdtlseqdt0(xN,sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))) ),
inference(instantiation,[status(thm)],[c_4802]) ).
cnf(c_8225,plain,
( sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),sz0z00) != sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))
| sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)) != sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))
| sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)) = sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),sz0z00) ),
inference(instantiation,[status(thm)],[c_5076]) ).
cnf(c_8226,plain,
( ~ aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
| sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),sz0z00) = sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)) ),
inference(instantiation,[status(thm)],[c_1622]) ).
cnf(c_14015,plain,
sdtlseqdt0(sz0z00,xR),
inference(global_subsumption_just,[status(thm)],[c_3300,c_2829,c_2834,c_3300]) ).
cnf(c_17865,plain,
( sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)) != sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),sz0z00)
| sdtpldt0(xN,xN) != sdtpldt0(xN,xN)
| ~ sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),sz0z00))
| sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))) ),
inference(instantiation,[status(thm)],[c_3851]) ).
cnf(c_21153,plain,
( ~ sdtlseqdt0(sz0z00,sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
| ~ aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
| ~ sdtlseqdt0(xN,sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xN)
| sdtlseqdt0(xN,sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))) ),
inference(instantiation,[status(thm)],[c_8002]) ).
cnf(c_22608,plain,
( ~ aScalar0(xR)
| sdtlseqdt0(sz0z00,sdtasdt0(xR,xR)) ),
inference(instantiation,[status(thm)],[c_1603]) ).
cnf(c_24517,plain,
( ~ aScalar0(smndt0(xS))
| sdtlseqdt0(smndt0(xS),smndt0(xS)) ),
inference(instantiation,[status(thm)],[c_1611]) ).
cnf(c_30162,plain,
( ~ sdtlseqdt0(sz0z00,X1_15)
| ~ sdtlseqdt0(X1_15,xR)
| ~ sdtlseqdt0(X0_15,smndt0(xS))
| ~ aScalar0(X0_15)
| ~ aScalar0(X1_15)
| sdtlseqdt0(sdtasdt0(X0_15,X1_15),smndt0(xN)) ),
inference(global_subsumption_just,[status(thm)],[c_3692,c_134,c_150,c_3692]) ).
cnf(c_30163,plain,
( ~ sdtlseqdt0(X0_15,smndt0(xS))
| ~ sdtlseqdt0(X1_15,xR)
| ~ sdtlseqdt0(sz0z00,X1_15)
| ~ aScalar0(X0_15)
| ~ aScalar0(X1_15)
| sdtlseqdt0(sdtasdt0(X0_15,X1_15),smndt0(xN)) ),
inference(renaming,[status(thm)],[c_30162]) ).
cnf(c_31175,plain,
( ~ sdtlseqdt0(xN,sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
| ~ aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
| ~ sdtlseqdt0(xN,sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xN)
| sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),sz0z00)) ),
inference(instantiation,[status(thm)],[c_3804]) ).
cnf(c_40523,plain,
( ~ sdtlseqdt0(smndt0(xS),smndt0(xS))
| ~ aScalar0(smndt0(xS))
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,xR)
| ~ aScalar0(sz0z00)
| sdtlseqdt0(sz0z00,smndt0(xN)) ),
inference(superposition,[status(thm)],[c_4238,c_30163]) ).
cnf(c_40566,plain,
( ~ sdtlseqdt0(smndt0(xS),smndt0(xS))
| ~ aScalar0(smndt0(xS))
| sdtlseqdt0(sz0z00,smndt0(xN)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40523,c_1632,c_14015,c_4058]) ).
cnf(c_42518,plain,
( ~ sdtlseqdt0(sz0z00,smndt0(xN))
| ~ aScalar0(smndt0(xN))
| ~ sdtlseqdt0(xN,xN)
| ~ aScalar0(xN)
| sdtlseqdt0(xN,sz0z00) ),
inference(superposition,[status(thm)],[c_2955,c_4270]) ).
cnf(c_42557,plain,
( ~ sdtlseqdt0(sz0z00,smndt0(xN))
| ~ sdtlseqdt0(xN,xN)
| sdtlseqdt0(xN,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42518,c_1556,c_5136]) ).
cnf(c_42576,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_42557,c_40566,c_31175,c_24517,c_22608,c_21153,c_17865,c_8226,c_8225,c_7584,c_5077,c_4806,c_3404,c_3398,c_3395,c_147,c_165,c_154,c_150,c_56,c_130,c_134,c_136]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : RNG064+2 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n031.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun Aug 27 02:28:23 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 86.25/12.34 % SZS status Started for theBenchmark.p
% 86.25/12.34 % SZS status Theorem for theBenchmark.p
% 86.25/12.34
% 86.25/12.34 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 86.25/12.34
% 86.25/12.34 ------ iProver source info
% 86.25/12.34
% 86.25/12.34 git: date: 2023-05-31 18:12:56 +0000
% 86.25/12.34 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 86.25/12.34 git: non_committed_changes: false
% 86.25/12.34 git: last_make_outside_of_git: false
% 86.25/12.34
% 86.25/12.34 ------ Parsing...
% 86.25/12.34 ------ Clausification by vclausify_rel & Parsing by iProver...
% 86.25/12.34
% 86.25/12.34 ------ Preprocessing... sup_sim: 2 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e
% 86.25/12.34
% 86.25/12.34 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 86.25/12.34
% 86.25/12.34 ------ Preprocessing... sf_s rm: 4 0s sf_e sf_s rm: 0 0s sf_e
% 86.25/12.34 ------ Proving...
% 86.25/12.34 ------ Problem Properties
% 86.25/12.34
% 86.25/12.34
% 86.25/12.34 clauses 101
% 86.25/12.34 conjectures 1
% 86.25/12.34 EPR 25
% 86.25/12.34 Horn 89
% 86.25/12.34 unary 48
% 86.25/12.34 binary 19
% 86.25/12.34 lits 235
% 86.25/12.34 lits eq 78
% 86.25/12.34 fd_pure 0
% 86.25/12.34 fd_pseudo 0
% 86.25/12.34 fd_cond 1
% 86.25/12.34 fd_pseudo_cond 5
% 86.25/12.34 AC symbols 0
% 86.25/12.34
% 86.25/12.34 ------ Input Options Time Limit: Unbounded
% 86.25/12.34
% 86.25/12.34
% 86.25/12.34 ------
% 86.25/12.34 Current options:
% 86.25/12.34 ------
% 86.25/12.34
% 86.25/12.34
% 86.25/12.34
% 86.25/12.34
% 86.25/12.34 ------ Proving...
% 86.25/12.34
% 86.25/12.34
% 86.25/12.34 % SZS status Theorem for theBenchmark.p
% 86.25/12.34
% 86.25/12.34 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 86.25/12.34
% 86.25/12.35
%------------------------------------------------------------------------------