TSTP Solution File: RNG060+2 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : RNG060+2 : 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 13:54:59 EDT 2023
% Result : Theorem 9.65s 2.16s
% Output : CNFRefutation 9.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of formulae : 75 ( 27 unt; 0 def)
% Number of atoms : 185 ( 83 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 203 ( 93 ~; 87 |; 19 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 80 ( 3 sgn; 39 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSZeroSc) ).
fof(f10,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> aScalar0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSumSc) ).
fof(f12,axiom,
! [X0] :
( aScalar0(X0)
=> aScalar0(smndt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNegSc) ).
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/sandbox2/benchmark/theBenchmark.p',mArith) ).
fof(f16,axiom,
! [X0,X1,X2,X3] :
( ( aScalar0(X3)
& aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDistr2) ).
fof(f52,axiom,
( xR = sdtasdt0(xC,xG)
& aScalar0(xR) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1892) ).
fof(f54,axiom,
( xS = sdtasdt0(xF,xD)
& aScalar0(xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1930) ).
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/sandbox2/benchmark/theBenchmark.p',m__2144) ).
fof(f59,conjecture,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f60,negated_conjecture,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))),
inference(negated_conjecture,[],[f59]) ).
fof(f66,plain,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))),
inference(flattening,[],[f60]) ).
fof(f73,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f74,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f73]) ).
fof(f77,plain,
! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f79,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(f80,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,[],[f79]) ).
fof(f83,plain,
! [X0,X1,X2,X3] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f84,plain,
! [X0,X1,X2,X3] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f83]) ).
fof(f137,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f9]) ).
fof(f138,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f140,plain,
! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f152,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f155,plain,
! [X2,X3,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f210,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f52]) ).
fof(f214,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f54]) ).
fof(f220,plain,
sdtasdt0(xR,smndt0(xS)) = smndt0(xN),
inference(cnf_transformation,[],[f58]) ).
fof(f221,plain,
smndt0(xN) = sdtasdt0(smndt0(xS),xR),
inference(cnf_transformation,[],[f58]) ).
fof(f222,plain,
sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS),
inference(cnf_transformation,[],[f58]) ).
fof(f223,plain,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))),
inference(cnf_transformation,[],[f66]) ).
cnf(c_56,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f137]) ).
cnf(c_57,plain,
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| aScalar0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f138]) ).
cnf(c_59,plain,
( ~ aScalar0(X0)
| aScalar0(smndt0(X0)) ),
inference(cnf_transformation,[],[f140]) ).
cnf(c_68,plain,
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f152]) ).
cnf(c_74,plain,
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) ),
inference(cnf_transformation,[],[f155]) ).
cnf(c_130,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f210]) ).
cnf(c_134,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f214]) ).
cnf(c_139,plain,
sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS),
inference(cnf_transformation,[],[f222]) ).
cnf(c_140,plain,
sdtasdt0(smndt0(xS),xR) = smndt0(xN),
inference(cnf_transformation,[],[f221]) ).
cnf(c_141,plain,
sdtasdt0(xR,smndt0(xS)) = smndt0(xN),
inference(cnf_transformation,[],[f220]) ).
cnf(c_142,negated_conjecture,
sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))) != sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))),
inference(cnf_transformation,[],[f223]) ).
cnf(c_1156,negated_conjecture,
sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))) != sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))),
inference(subtyping,[status(esa)],[c_142]) ).
cnf(c_1157,plain,
sdtasdt0(xR,smndt0(xS)) = smndt0(xN),
inference(subtyping,[status(esa)],[c_141]) ).
cnf(c_1158,plain,
sdtasdt0(smndt0(xS),xR) = smndt0(xN),
inference(subtyping,[status(esa)],[c_140]) ).
cnf(c_1159,plain,
sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS),
inference(subtyping,[status(esa)],[c_139]) ).
cnf(c_1221,plain,
( ~ aScalar0(X0_15)
| ~ aScalar0(X1_15)
| ~ aScalar0(X2_15)
| ~ aScalar0(X3_15)
| sdtpldt0(sdtpldt0(sdtasdt0(X0_15,X2_15),sdtasdt0(X0_15,X3_15)),sdtpldt0(sdtasdt0(X1_15,X2_15),sdtasdt0(X1_15,X3_15))) = sdtasdt0(sdtpldt0(X0_15,X1_15),sdtpldt0(X2_15,X3_15)) ),
inference(subtyping,[status(esa)],[c_74]) ).
cnf(c_1227,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_1235,plain,
( ~ aScalar0(X0_15)
| aScalar0(smndt0(X0_15)) ),
inference(subtyping,[status(esa)],[c_59]) ).
cnf(c_1237,plain,
( ~ aScalar0(X0_15)
| ~ aScalar0(X1_15)
| aScalar0(sdtpldt0(X0_15,X1_15)) ),
inference(subtyping,[status(esa)],[c_57]) ).
cnf(c_1245,plain,
( ~ aScalar0(X0_15)
| ~ sP0_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_1227]) ).
cnf(c_1246,plain,
( ~ aScalar0(X0_15)
| ~ aScalar0(X1_15)
| sdtasdt0(X0_15,X1_15) = sdtasdt0(X1_15,X0_15)
| ~ sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_1227]) ).
cnf(c_1247,plain,
( sP0_iProver_split
| sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1227]) ).
cnf(c_1253,plain,
X0_15 = X0_15,
theory(equality) ).
cnf(c_1256,plain,
( X0_15 != X1_15
| X2_15 != X1_15
| X2_15 = X0_15 ),
theory(equality) ).
cnf(c_1260,plain,
( X0_15 != X1_15
| X2_15 != X3_15
| sdtpldt0(X0_15,X2_15) = sdtpldt0(X1_15,X3_15) ),
theory(equality) ).
cnf(c_1310,plain,
( ~ aScalar0(sz0z00)
| ~ sP0_iProver_split ),
inference(instantiation,[status(thm)],[c_1245]) ).
cnf(c_1315,plain,
( sdtasdt0(X0_15,X1_15) = sdtasdt0(X1_15,X0_15)
| ~ aScalar0(X1_15)
| ~ aScalar0(X0_15) ),
inference(global_subsumption_just,[status(thm)],[c_1246,c_56,c_1310,c_1246,c_1247]) ).
cnf(c_1316,plain,
( ~ aScalar0(X0_15)
| ~ aScalar0(X1_15)
| sdtasdt0(X0_15,X1_15) = sdtasdt0(X1_15,X0_15) ),
inference(renaming,[status(thm)],[c_1315]) ).
cnf(c_2403,plain,
( sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))) != X0_15
| sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != X0_15
| sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))) = sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) ),
inference(instantiation,[status(thm)],[c_1256]) ).
cnf(c_2411,plain,
( sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != X0_15
| X1_15 != X0_15
| sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = X1_15 ),
inference(instantiation,[status(thm)],[c_1256]) ).
cnf(c_2421,plain,
( ~ aScalar0(smndt0(xS))
| ~ aScalar0(xR)
| aScalar0(sdtpldt0(xR,smndt0(xS))) ),
inference(instantiation,[status(thm)],[c_1237]) ).
cnf(c_2433,plain,
( sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))
| X0_15 != sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))
| sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = X0_15 ),
inference(instantiation,[status(thm)],[c_2411]) ).
cnf(c_2450,plain,
( ~ aScalar0(xS)
| aScalar0(smndt0(xS)) ),
inference(instantiation,[status(thm)],[c_1235]) ).
cnf(c_2471,plain,
( sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xR,smndt0(xS))),sdtpldt0(sdtasdt0(smndt0(xS),xR),sdtasdt0(smndt0(xS),smndt0(xS)))) != sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))
| sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))
| sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xR,smndt0(xS))),sdtpldt0(sdtasdt0(smndt0(xS),xR),sdtasdt0(smndt0(xS),smndt0(xS)))) ),
inference(instantiation,[status(thm)],[c_2433]) ).
cnf(c_2529,plain,
( ~ aScalar0(sdtpldt0(xR,smndt0(xS)))
| sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) ),
inference(instantiation,[status(thm)],[c_1316]) ).
cnf(c_2840,plain,
( ~ aScalar0(smndt0(xS))
| ~ aScalar0(xR)
| sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xR,smndt0(xS))),sdtpldt0(sdtasdt0(smndt0(xS),xR),sdtasdt0(smndt0(xS),smndt0(xS)))) = sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) ),
inference(instantiation,[status(thm)],[c_1221]) ).
cnf(c_3257,plain,
( sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))) != sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xR,smndt0(xS))),sdtpldt0(sdtasdt0(smndt0(xS),xR),sdtasdt0(smndt0(xS),smndt0(xS))))
| sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xR,smndt0(xS))),sdtpldt0(sdtasdt0(smndt0(xS),xR),sdtasdt0(smndt0(xS),smndt0(xS))))
| sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))) = sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) ),
inference(instantiation,[status(thm)],[c_2403]) ).
cnf(c_3823,plain,
( sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)) != sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xR,smndt0(xS)))
| sdtpldt0(smndt0(xN),sdtasdt0(xS,xS)) != sdtpldt0(sdtasdt0(smndt0(xS),xR),sdtasdt0(smndt0(xS),smndt0(xS)))
| sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xR,smndt0(xS))),sdtpldt0(sdtasdt0(smndt0(xS),xR),sdtasdt0(smndt0(xS),smndt0(xS)))) ),
inference(instantiation,[status(thm)],[c_1260]) ).
cnf(c_6290,plain,
( sdtasdt0(xS,xS) != sdtasdt0(smndt0(xS),smndt0(xS))
| smndt0(xN) != sdtasdt0(smndt0(xS),xR)
| sdtpldt0(smndt0(xN),sdtasdt0(xS,xS)) = sdtpldt0(sdtasdt0(smndt0(xS),xR),sdtasdt0(smndt0(xS),smndt0(xS))) ),
inference(instantiation,[status(thm)],[c_1260]) ).
cnf(c_6768,plain,
( X0_15 != X1_15
| X1_15 = X0_15 ),
inference(resolution,[status(thm)],[c_1256,c_1253]) ).
cnf(c_9704,plain,
smndt0(xN) = sdtasdt0(xR,smndt0(xS)),
inference(resolution,[status(thm)],[c_6768,c_1157]) ).
cnf(c_9705,plain,
smndt0(xN) = sdtasdt0(smndt0(xS),xR),
inference(resolution,[status(thm)],[c_6768,c_1158]) ).
cnf(c_12946,plain,
sdtasdt0(xS,xS) = sdtasdt0(smndt0(xS),smndt0(xS)),
inference(resolution,[status(thm)],[c_1159,c_6768]) ).
cnf(c_19630,plain,
( sdtasdt0(xR,xR) != sdtasdt0(xR,xR)
| smndt0(xN) != sdtasdt0(xR,smndt0(xS))
| sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)) = sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xR,smndt0(xS))) ),
inference(instantiation,[status(thm)],[c_1260]) ).
cnf(c_42162,plain,
( ~ aScalar0(xR)
| sdtasdt0(xR,xR) = sdtasdt0(xR,xR) ),
inference(instantiation,[status(thm)],[c_1316]) ).
cnf(c_42163,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_42162,c_19630,c_12946,c_9705,c_9704,c_6290,c_3823,c_3257,c_2840,c_2529,c_2471,c_2450,c_2421,c_1156,c_130,c_134]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : RNG060+2 : 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 01:37:02 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 9.65/2.16 % SZS status Started for theBenchmark.p
% 9.65/2.16 % SZS status Theorem for theBenchmark.p
% 9.65/2.16
% 9.65/2.16 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 9.65/2.16
% 9.65/2.16 ------ iProver source info
% 9.65/2.16
% 9.65/2.16 git: date: 2023-05-31 18:12:56 +0000
% 9.65/2.16 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 9.65/2.16 git: non_committed_changes: false
% 9.65/2.16 git: last_make_outside_of_git: false
% 9.65/2.16
% 9.65/2.16 ------ Parsing...
% 9.65/2.16 ------ Clausification by vclausify_rel & Parsing by iProver...
% 9.65/2.16
% 9.65/2.16 ------ 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
% 9.65/2.16
% 9.65/2.16 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 9.65/2.16
% 9.65/2.16 ------ Preprocessing... sf_s rm: 4 0s sf_e sf_s rm: 0 0s sf_e
% 9.65/2.16 ------ Proving...
% 9.65/2.16 ------ Problem Properties
% 9.65/2.16
% 9.65/2.16
% 9.65/2.16 clauses 96
% 9.65/2.16 conjectures 1
% 9.65/2.16 EPR 25
% 9.65/2.16 Horn 84
% 9.65/2.16 unary 43
% 9.65/2.16 binary 19
% 9.65/2.16 lits 230
% 9.65/2.16 lits eq 75
% 9.65/2.16 fd_pure 0
% 9.65/2.16 fd_pseudo 0
% 9.65/2.16 fd_cond 1
% 9.65/2.16 fd_pseudo_cond 5
% 9.65/2.16 AC symbols 0
% 9.65/2.16
% 9.65/2.16 ------ Input Options Time Limit: Unbounded
% 9.65/2.16
% 9.65/2.16
% 9.65/2.16 ------
% 9.65/2.16 Current options:
% 9.65/2.16 ------
% 9.65/2.16
% 9.65/2.16
% 9.65/2.16
% 9.65/2.16
% 9.65/2.16 ------ Proving...
% 9.65/2.16
% 9.65/2.16
% 9.65/2.16 % SZS status Theorem for theBenchmark.p
% 9.65/2.16
% 9.65/2.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 9.65/2.16
% 9.65/2.16
%------------------------------------------------------------------------------