TSTP Solution File: RNG064+1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : RNG064+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n008.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 13:55:00 EDT 2023
% Result : Theorem 85.02s 12.32s
% Output : CNFRefutation 85.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 21
% Syntax : Number of formulae : 168 ( 59 unt; 0 def)
% Number of atoms : 474 ( 66 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 565 ( 259 ~; 251 |; 41 &)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 12 con; 0-2 aty)
% Number of variables : 147 ( 1 sgn; 79 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSZeroSc) ).
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(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)
& 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(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(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(f140,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f9]) ).
fof(f142,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f143,plain,
! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f145,plain,
! [X0] :
( sdtpldt0(sz0z00,X0) = X0
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f146,plain,
! [X0] :
( sz0z00 = sdtasdt0(X0,sz0z00)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f147,plain,
! [X0] :
( sz0z00 = sdtasdt0(sz0z00,X0)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f149,plain,
! [X0] :
( sz0z00 = sdtpldt0(smndt0(X0),X0)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f151,plain,
! [X0] :
( sz0z00 = smndt0(sz0z00)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f162,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f164,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f165,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(f166,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(f169,plain,
! [X0,X1] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f170,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f183,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f189,plain,
aVector0(xp),
inference(cnf_transformation,[],[f42]) ).
fof(f195,plain,
aScalar0(xB),
inference(cnf_transformation,[],[f45]) ).
fof(f197,plain,
aScalar0(xC),
inference(cnf_transformation,[],[f46]) ).
fof(f198,plain,
xC = sdtasasdt0(xp,xp),
inference(cnf_transformation,[],[f46]) ).
fof(f205,plain,
aScalar0(xG),
inference(cnf_transformation,[],[f50]) ).
fof(f206,plain,
xG = sdtasdt0(xB,xB),
inference(cnf_transformation,[],[f50]) ).
fof(f209,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f52]) ).
fof(f210,plain,
xR = sdtasdt0(xC,xG),
inference(cnf_transformation,[],[f52]) ).
fof(f213,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f54]) ).
fof(f215,plain,
aScalar0(xN),
inference(cnf_transformation,[],[f55]) ).
fof(f216,plain,
xN = sdtasdt0(xR,xS),
inference(cnf_transformation,[],[f55]) ).
fof(f220,plain,
smndt0(xN) = sdtasdt0(smndt0(xS),xR),
inference(cnf_transformation,[],[f58]) ).
fof(f227,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,[],[f140]) ).
cnf(c_58,plain,
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| aScalar0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f142]) ).
cnf(c_59,plain,
( ~ aScalar0(X0)
| aScalar0(smndt0(X0)) ),
inference(cnf_transformation,[],[f143]) ).
cnf(c_60,plain,
( ~ aScalar0(X0)
| smndt0(sz0z00) = sz0z00 ),
inference(cnf_transformation,[],[f151]) ).
cnf(c_62,plain,
( ~ aScalar0(X0)
| sdtpldt0(smndt0(X0),X0) = sz0z00 ),
inference(cnf_transformation,[],[f149]) ).
cnf(c_64,plain,
( ~ aScalar0(X0)
| sdtasdt0(sz0z00,X0) = sz0z00 ),
inference(cnf_transformation,[],[f147]) ).
cnf(c_65,plain,
( ~ aScalar0(X0)
| sdtasdt0(X0,sz0z00) = sz0z00 ),
inference(cnf_transformation,[],[f146]) ).
cnf(c_66,plain,
( ~ aScalar0(X0)
| sdtpldt0(sz0z00,X0) = X0 ),
inference(cnf_transformation,[],[f145]) ).
cnf(c_78,plain,
( ~ aScalar0(X0)
| sdtlseqdt0(X0,X0) ),
inference(cnf_transformation,[],[f162]) ).
cnf(c_80,plain,
( ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| sdtlseqdt0(X0,X2) ),
inference(cnf_transformation,[],[f164]) ).
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,[],[f165]) ).
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,[],[f166]) ).
cnf(c_84,plain,
( ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtlseqdt0(sz0z00,sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f169]) ).
cnf(c_86,plain,
( ~ aScalar0(X0)
| sdtlseqdt0(sz0z00,sdtasdt0(X0,X0)) ),
inference(cnf_transformation,[],[f170]) ).
cnf(c_99,plain,
( ~ aVector0(X0)
| sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0)) ),
inference(cnf_transformation,[],[f183]) ).
cnf(c_106,plain,
aVector0(xp),
inference(cnf_transformation,[],[f189]) ).
cnf(c_112,plain,
aScalar0(xB),
inference(cnf_transformation,[],[f195]) ).
cnf(c_113,plain,
sdtasasdt0(xp,xp) = xC,
inference(cnf_transformation,[],[f198]) ).
cnf(c_114,plain,
aScalar0(xC),
inference(cnf_transformation,[],[f197]) ).
cnf(c_121,plain,
sdtasdt0(xB,xB) = xG,
inference(cnf_transformation,[],[f206]) ).
cnf(c_122,plain,
aScalar0(xG),
inference(cnf_transformation,[],[f205]) ).
cnf(c_125,plain,
sdtasdt0(xC,xG) = xR,
inference(cnf_transformation,[],[f210]) ).
cnf(c_126,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f209]) ).
cnf(c_130,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f213]) ).
cnf(c_131,plain,
sdtasdt0(xR,xS) = xN,
inference(cnf_transformation,[],[f216]) ).
cnf(c_132,plain,
aScalar0(xN),
inference(cnf_transformation,[],[f215]) ).
cnf(c_136,plain,
sdtasdt0(smndt0(xS),xR) = smndt0(xN),
inference(cnf_transformation,[],[f220]) ).
cnf(c_143,negated_conjecture,
~ sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
inference(cnf_transformation,[],[f227]) ).
cnf(c_146,plain,
( ~ aScalar0(xS)
| aScalar0(smndt0(xS)) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_150,plain,
( ~ aScalar0(xS)
| sdtlseqdt0(sz0z00,sdtasdt0(xS,xS)) ),
inference(instantiation,[status(thm)],[c_86]) ).
cnf(c_151,plain,
( ~ aScalar0(xS)
| smndt0(sz0z00) = sz0z00 ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_161,plain,
( ~ aScalar0(xS)
| aScalar0(sdtasdt0(xS,xS)) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_190,plain,
smndt0(sz0z00) = sz0z00,
inference(global_subsumption_just,[status(thm)],[c_60,c_130,c_151]) ).
cnf(c_1504,plain,
smndt0(sz0z00) = sz0z00,
inference(subtyping,[status(esa)],[c_190]) ).
cnf(c_1505,negated_conjecture,
~ sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
inference(subtyping,[status(esa)],[c_143]) ).
cnf(c_1512,plain,
sdtasdt0(smndt0(xS),xR) = smndt0(xN),
inference(subtyping,[status(esa)],[c_136]) ).
cnf(c_1516,plain,
aScalar0(xN),
inference(subtyping,[status(esa)],[c_132]) ).
cnf(c_1517,plain,
sdtasdt0(xR,xS) = xN,
inference(subtyping,[status(esa)],[c_131]) ).
cnf(c_1518,plain,
aScalar0(xS),
inference(subtyping,[status(esa)],[c_130]) ).
cnf(c_1522,plain,
aScalar0(xR),
inference(subtyping,[status(esa)],[c_126]) ).
cnf(c_1523,plain,
sdtasdt0(xC,xG) = xR,
inference(subtyping,[status(esa)],[c_125]) ).
cnf(c_1526,plain,
aScalar0(xG),
inference(subtyping,[status(esa)],[c_122]) ).
cnf(c_1527,plain,
sdtasdt0(xB,xB) = xG,
inference(subtyping,[status(esa)],[c_121]) ).
cnf(c_1534,plain,
aScalar0(xC),
inference(subtyping,[status(esa)],[c_114]) ).
cnf(c_1535,plain,
sdtasasdt0(xp,xp) = xC,
inference(subtyping,[status(esa)],[c_113]) ).
cnf(c_1536,plain,
aScalar0(xB),
inference(subtyping,[status(esa)],[c_112]) ).
cnf(c_1541,plain,
aVector0(xp),
inference(subtyping,[status(esa)],[c_106]) ).
cnf(c_1547,plain,
( ~ aVector0(X0_14)
| sdtlseqdt0(sz0z00,sdtasasdt0(X0_14,X0_14)) ),
inference(subtyping,[status(esa)],[c_99]) ).
cnf(c_1560,plain,
( ~ aScalar0(X0_15)
| sdtlseqdt0(sz0z00,sdtasdt0(X0_15,X0_15)) ),
inference(subtyping,[status(esa)],[c_86]) ).
cnf(c_1562,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_1564,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_1565,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_1566,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_1568,plain,
( ~ aScalar0(X0_15)
| sdtlseqdt0(X0_15,X0_15) ),
inference(subtyping,[status(esa)],[c_78]) ).
cnf(c_1580,plain,
( ~ aScalar0(X0_15)
| sdtpldt0(sz0z00,X0_15) = X0_15 ),
inference(subtyping,[status(esa)],[c_66]) ).
cnf(c_1581,plain,
( ~ aScalar0(X0_15)
| sdtasdt0(X0_15,sz0z00) = sz0z00 ),
inference(subtyping,[status(esa)],[c_65]) ).
cnf(c_1582,plain,
( ~ aScalar0(X0_15)
| sdtasdt0(sz0z00,X0_15) = sz0z00 ),
inference(subtyping,[status(esa)],[c_64]) ).
cnf(c_1584,plain,
( ~ aScalar0(X0_15)
| sdtpldt0(smndt0(X0_15),X0_15) = sz0z00 ),
inference(subtyping,[status(esa)],[c_62]) ).
cnf(c_1586,plain,
( ~ aScalar0(X0_15)
| aScalar0(smndt0(X0_15)) ),
inference(subtyping,[status(esa)],[c_59]) ).
cnf(c_1587,plain,
( ~ aScalar0(X0_15)
| ~ aScalar0(X1_15)
| aScalar0(sdtasdt0(X0_15,X1_15)) ),
inference(subtyping,[status(esa)],[c_58]) ).
cnf(c_1589,plain,
aScalar0(sz0z00),
inference(subtyping,[status(esa)],[c_56]) ).
cnf(c_1614,plain,
( X0_15 != X1_15
| X2_15 != X3_15
| ~ sdtlseqdt0(X1_15,X3_15)
| sdtlseqdt0(X0_15,X2_15) ),
theory(equality) ).
cnf(c_2757,plain,
( ~ aScalar0(xB)
| sdtlseqdt0(sz0z00,xG) ),
inference(superposition,[status(thm)],[c_1527,c_1560]) ).
cnf(c_2758,plain,
sdtlseqdt0(sz0z00,xG),
inference(forward_subsumption_resolution,[status(thm)],[c_2757,c_1536]) ).
cnf(c_2760,plain,
( ~ aVector0(xp)
| sdtlseqdt0(sz0z00,xC) ),
inference(superposition,[status(thm)],[c_1535,c_1547]) ).
cnf(c_2763,plain,
sdtlseqdt0(sz0z00,xC),
inference(forward_subsumption_resolution,[status(thm)],[c_2760,c_1541]) ).
cnf(c_2780,plain,
sdtasdt0(sz0z00,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_1589,c_1582]) ).
cnf(c_2808,plain,
( ~ aScalar0(X0_15)
| sdtasdt0(smndt0(X0_15),sz0z00) = sz0z00 ),
inference(superposition,[status(thm)],[c_1586,c_1581]) ).
cnf(c_2822,plain,
sdtpldt0(sz0z00,xN) = xN,
inference(superposition,[status(thm)],[c_1516,c_1580]) ).
cnf(c_2857,plain,
( ~ aScalar0(smndt0(xS))
| ~ aScalar0(xR)
| aScalar0(smndt0(xN)) ),
inference(superposition,[status(thm)],[c_1512,c_1587]) ).
cnf(c_2864,plain,
( ~ aScalar0(smndt0(xS))
| aScalar0(smndt0(xN)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2857,c_1522]) ).
cnf(c_2882,plain,
sdtpldt0(smndt0(xN),xN) = sz0z00,
inference(superposition,[status(thm)],[c_1516,c_1584]) ).
cnf(c_3195,plain,
( ~ sdtlseqdt0(sz0z00,xC)
| ~ sdtlseqdt0(sz0z00,xG)
| ~ aScalar0(xC)
| ~ aScalar0(xG)
| sdtlseqdt0(sz0z00,xR) ),
inference(superposition,[status(thm)],[c_1523,c_1562]) ).
cnf(c_3206,plain,
( ~ sdtlseqdt0(sz0z00,xC)
| ~ sdtlseqdt0(sz0z00,xG)
| sdtlseqdt0(sz0z00,xR) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3195,c_1526,c_1534]) ).
cnf(c_3266,plain,
( ~ aScalar0(xR)
| aScalar0(sdtasdt0(xR,xR)) ),
inference(instantiation,[status(thm)],[c_1587]) ).
cnf(c_3516,plain,
( ~ sdtlseqdt0(xN,sdtasdt0(xR,xR))
| ~ sdtlseqdt0(xN,sdtasdt0(xS,xS))
| ~ aScalar0(sdtasdt0(xR,xR))
| ~ aScalar0(sdtasdt0(xS,xS))
| ~ aScalar0(xN) ),
inference(superposition,[status(thm)],[c_1565,c_1505]) ).
cnf(c_3519,plain,
( ~ sdtlseqdt0(xN,sdtasdt0(xR,xR))
| ~ sdtlseqdt0(xN,sdtasdt0(xS,xS))
| ~ aScalar0(sdtasdt0(xR,xR))
| ~ aScalar0(sdtasdt0(xS,xS)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3516,c_1516]) ).
cnf(c_3591,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_1512,c_1564]) ).
cnf(c_3610,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_3591,c_1522]) ).
cnf(c_3647,plain,
( ~ sdtlseqdt0(X0_15,sdtasdt0(xS,xS))
| ~ aScalar0(sdtasdt0(xS,xS))
| ~ sdtlseqdt0(xN,X0_15)
| ~ aScalar0(X0_15)
| ~ aScalar0(xN)
| sdtlseqdt0(xN,sdtasdt0(xS,xS)) ),
inference(instantiation,[status(thm)],[c_1566]) ).
cnf(c_3968,plain,
( ~ aScalar0(sz0z00)
| sdtlseqdt0(sz0z00,sz0z00) ),
inference(superposition,[status(thm)],[c_2780,c_1560]) ).
cnf(c_3974,plain,
sdtlseqdt0(sz0z00,sz0z00),
inference(forward_subsumption_resolution,[status(thm)],[c_3968,c_1589]) ).
cnf(c_4188,plain,
sdtasdt0(smndt0(xS),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_1518,c_2808]) ).
cnf(c_4209,plain,
( ~ sdtlseqdt0(X0_15,sdtasdt0(xR,xR))
| ~ aScalar0(sdtasdt0(xR,xR))
| ~ sdtlseqdt0(xN,X0_15)
| ~ aScalar0(X0_15)
| ~ aScalar0(xN)
| sdtlseqdt0(xN,sdtasdt0(xR,xR)) ),
inference(instantiation,[status(thm)],[c_1566]) ).
cnf(c_4245,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_2822,c_1565]) ).
cnf(c_4248,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_4245,c_1516,c_1589]) ).
cnf(c_4500,plain,
( ~ aScalar0(xN)
| sdtlseqdt0(xN,xN) ),
inference(instantiation,[status(thm)],[c_1568]) ).
cnf(c_5025,plain,
aScalar0(smndt0(xN)),
inference(global_subsumption_just,[status(thm)],[c_2864,c_130,c_146,c_2864]) ).
cnf(c_6061,plain,
( ~ sdtlseqdt0(sz0z00,sdtasdt0(xR,xR))
| ~ aScalar0(sdtasdt0(xR,xR))
| ~ sdtlseqdt0(xN,sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xN)
| sdtlseqdt0(xN,sdtasdt0(xR,xR)) ),
inference(instantiation,[status(thm)],[c_4209]) ).
cnf(c_6193,plain,
( ~ sdtlseqdt0(sz0z00,sdtasdt0(xS,xS))
| ~ aScalar0(sdtasdt0(xS,xS))
| ~ sdtlseqdt0(xN,sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xN)
| sdtlseqdt0(xN,sdtasdt0(xS,xS)) ),
inference(instantiation,[status(thm)],[c_3647]) ).
cnf(c_10959,plain,
( ~ aScalar0(xR)
| sdtlseqdt0(sz0z00,sdtasdt0(xR,xR)) ),
inference(instantiation,[status(thm)],[c_1560]) ).
cnf(c_12601,plain,
( X0_15 != X1_15
| ~ sdtlseqdt0(X1_15,sz0z00)
| sdtlseqdt0(X0_15,smndt0(sz0z00)) ),
inference(resolution,[status(thm)],[c_1504,c_1614]) ).
cnf(c_14143,plain,
( ~ sdtlseqdt0(xN,sz0z00)
| sdtlseqdt0(sdtasdt0(xR,xS),smndt0(sz0z00)) ),
inference(resolution,[status(thm)],[c_12601,c_1517]) ).
cnf(c_14353,plain,
sdtlseqdt0(sz0z00,xR),
inference(global_subsumption_just,[status(thm)],[c_3206,c_2758,c_2763,c_3206]) ).
cnf(c_16049,plain,
~ sdtlseqdt0(xN,sz0z00),
inference(global_subsumption_just,[status(thm)],[c_14143,c_132,c_130,c_126,c_56,c_150,c_161,c_3266,c_3519,c_6061,c_6193,c_10959]) ).
cnf(c_29982,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_3610,c_130,c_146,c_3610]) ).
cnf(c_29983,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_29982]) ).
cnf(c_30295,plain,
( ~ aScalar0(smndt0(xS))
| sdtlseqdt0(smndt0(xS),smndt0(xS)) ),
inference(instantiation,[status(thm)],[c_1568]) ).
cnf(c_41207,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_4188,c_29983]) ).
cnf(c_41250,plain,
( ~ sdtlseqdt0(smndt0(xS),smndt0(xS))
| ~ aScalar0(smndt0(xS))
| sdtlseqdt0(sz0z00,smndt0(xN)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41207,c_1589,c_14353,c_3974]) ).
cnf(c_43122,plain,
( ~ sdtlseqdt0(sz0z00,smndt0(xN))
| ~ aScalar0(smndt0(xN))
| ~ sdtlseqdt0(xN,xN)
| ~ aScalar0(xN)
| sdtlseqdt0(xN,sz0z00) ),
inference(superposition,[status(thm)],[c_2882,c_4248]) ).
cnf(c_43161,plain,
( ~ sdtlseqdt0(sz0z00,smndt0(xN))
| ~ sdtlseqdt0(xN,xN)
| sdtlseqdt0(xN,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43122,c_1516,c_5025]) ).
cnf(c_43180,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_43161,c_41250,c_30295,c_16049,c_4500,c_146,c_130,c_132]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : RNG064+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Aug 27 01:40:32 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 85.02/12.32 % SZS status Started for theBenchmark.p
% 85.02/12.32 % SZS status Theorem for theBenchmark.p
% 85.02/12.32
% 85.02/12.32 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 85.02/12.32
% 85.02/12.32 ------ iProver source info
% 85.02/12.32
% 85.02/12.32 git: date: 2023-05-31 18:12:56 +0000
% 85.02/12.32 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 85.02/12.32 git: non_committed_changes: false
% 85.02/12.32 git: last_make_outside_of_git: false
% 85.02/12.32
% 85.02/12.32 ------ Parsing...
% 85.02/12.32 ------ Clausification by vclausify_rel & Parsing by iProver...
% 85.02/12.32
% 85.02/12.32 ------ Preprocessing... sup_sim: 1 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
% 85.02/12.32
% 85.02/12.32 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 85.02/12.32
% 85.02/12.32 ------ Preprocessing... sf_s rm: 4 0s sf_e sf_s rm: 0 0s sf_e
% 85.02/12.32 ------ Proving...
% 85.02/12.32 ------ Problem Properties
% 85.02/12.32
% 85.02/12.32
% 85.02/12.32 clauses 97
% 85.02/12.32 conjectures 1
% 85.02/12.32 EPR 25
% 85.02/12.32 Horn 85
% 85.02/12.32 unary 46
% 85.02/12.32 binary 17
% 85.02/12.32 lits 229
% 85.02/12.32 lits eq 74
% 85.02/12.32 fd_pure 0
% 85.02/12.32 fd_pseudo 0
% 85.02/12.32 fd_cond 1
% 85.02/12.32 fd_pseudo_cond 5
% 85.02/12.32 AC symbols 0
% 85.02/12.32
% 85.02/12.32 ------ Input Options Time Limit: Unbounded
% 85.02/12.32
% 85.02/12.32
% 85.02/12.32 ------
% 85.02/12.32 Current options:
% 85.02/12.32 ------
% 85.02/12.32
% 85.02/12.32
% 85.02/12.32
% 85.02/12.32
% 85.02/12.32 ------ Proving...
% 85.02/12.32
% 85.02/12.32
% 85.02/12.32 % SZS status Theorem for theBenchmark.p
% 85.02/12.32
% 85.02/12.32 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 85.87/12.33
% 85.87/12.34
%------------------------------------------------------------------------------