TSTP Solution File: RNG060+1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : RNG060+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n015.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 13:54:58 EDT 2023
% Result : Theorem 11.10s 2.19s
% Output : CNFRefutation 11.10s
% 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/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(f12,axiom,
! [X0] :
( aScalar0(X0)
=> aScalar0(smndt0(X0)) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',mDistr2) ).
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(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(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/sandbox/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(f135,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f9]) ).
fof(f136,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f138,plain,
! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f150,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f153,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(f204,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f52]) ).
fof(f208,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f54]) ).
fof(f214,plain,
sdtasdt0(xR,smndt0(xS)) = smndt0(xN),
inference(cnf_transformation,[],[f58]) ).
fof(f215,plain,
smndt0(xN) = sdtasdt0(smndt0(xS),xR),
inference(cnf_transformation,[],[f58]) ).
fof(f216,plain,
sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS),
inference(cnf_transformation,[],[f58]) ).
fof(f217,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,[],[f135]) ).
cnf(c_57,plain,
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| aScalar0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f136]) ).
cnf(c_59,plain,
( ~ aScalar0(X0)
| aScalar0(smndt0(X0)) ),
inference(cnf_transformation,[],[f138]) ).
cnf(c_68,plain,
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f150]) ).
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,[],[f153]) ).
cnf(c_126,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f204]) ).
cnf(c_130,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f208]) ).
cnf(c_135,plain,
sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS),
inference(cnf_transformation,[],[f216]) ).
cnf(c_136,plain,
sdtasdt0(smndt0(xS),xR) = smndt0(xN),
inference(cnf_transformation,[],[f215]) ).
cnf(c_137,plain,
sdtasdt0(xR,smndt0(xS)) = smndt0(xN),
inference(cnf_transformation,[],[f214]) ).
cnf(c_138,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,[],[f217]) ).
cnf(c_1124,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_138]) ).
cnf(c_1125,plain,
sdtasdt0(xR,smndt0(xS)) = smndt0(xN),
inference(subtyping,[status(esa)],[c_137]) ).
cnf(c_1126,plain,
sdtasdt0(smndt0(xS),xR) = smndt0(xN),
inference(subtyping,[status(esa)],[c_136]) ).
cnf(c_1127,plain,
sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS),
inference(subtyping,[status(esa)],[c_135]) ).
cnf(c_1186,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_1192,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_1200,plain,
( ~ aScalar0(X0_15)
| aScalar0(smndt0(X0_15)) ),
inference(subtyping,[status(esa)],[c_59]) ).
cnf(c_1202,plain,
( ~ aScalar0(X0_15)
| ~ aScalar0(X1_15)
| aScalar0(sdtpldt0(X0_15,X1_15)) ),
inference(subtyping,[status(esa)],[c_57]) ).
cnf(c_1210,plain,
( ~ aScalar0(X0_15)
| ~ sP0_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_1192]) ).
cnf(c_1211,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_1192]) ).
cnf(c_1212,plain,
( sP0_iProver_split
| sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1192]) ).
cnf(c_1218,plain,
X0_15 = X0_15,
theory(equality) ).
cnf(c_1221,plain,
( X0_15 != X1_15
| X2_15 != X1_15
| X2_15 = X0_15 ),
theory(equality) ).
cnf(c_1225,plain,
( X0_15 != X1_15
| X2_15 != X3_15
| sdtpldt0(X0_15,X2_15) = sdtpldt0(X1_15,X3_15) ),
theory(equality) ).
cnf(c_1273,plain,
( ~ aScalar0(sz0z00)
| ~ sP0_iProver_split ),
inference(instantiation,[status(thm)],[c_1210]) ).
cnf(c_1278,plain,
( sdtasdt0(X0_15,X1_15) = sdtasdt0(X1_15,X0_15)
| ~ aScalar0(X1_15)
| ~ aScalar0(X0_15) ),
inference(global_subsumption_just,[status(thm)],[c_1211,c_56,c_1273,c_1211,c_1212]) ).
cnf(c_1279,plain,
( ~ aScalar0(X0_15)
| ~ aScalar0(X1_15)
| sdtasdt0(X0_15,X1_15) = sdtasdt0(X1_15,X0_15) ),
inference(renaming,[status(thm)],[c_1278]) ).
cnf(c_2342,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_1221]) ).
cnf(c_2350,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_1221]) ).
cnf(c_2360,plain,
( ~ aScalar0(smndt0(xS))
| ~ aScalar0(xR)
| aScalar0(sdtpldt0(xR,smndt0(xS))) ),
inference(instantiation,[status(thm)],[c_1202]) ).
cnf(c_2372,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_2350]) ).
cnf(c_2389,plain,
( ~ aScalar0(xS)
| aScalar0(smndt0(xS)) ),
inference(instantiation,[status(thm)],[c_1200]) ).
cnf(c_2410,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_2372]) ).
cnf(c_2468,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_1279]) ).
cnf(c_2779,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_1186]) ).
cnf(c_3196,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_2342]) ).
cnf(c_3762,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_1225]) ).
cnf(c_6380,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_1225]) ).
cnf(c_6656,plain,
( X0_15 != X1_15
| X1_15 = X0_15 ),
inference(resolution,[status(thm)],[c_1221,c_1218]) ).
cnf(c_9577,plain,
smndt0(xN) = sdtasdt0(xR,smndt0(xS)),
inference(resolution,[status(thm)],[c_6656,c_1125]) ).
cnf(c_9578,plain,
smndt0(xN) = sdtasdt0(smndt0(xS),xR),
inference(resolution,[status(thm)],[c_6656,c_1126]) ).
cnf(c_12160,plain,
sdtasdt0(xS,xS) = sdtasdt0(smndt0(xS),smndt0(xS)),
inference(resolution,[status(thm)],[c_1127,c_6656]) ).
cnf(c_18866,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_1225]) ).
cnf(c_41185,plain,
( ~ aScalar0(xR)
| sdtasdt0(xR,xR) = sdtasdt0(xR,xR) ),
inference(instantiation,[status(thm)],[c_1279]) ).
cnf(c_41186,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_41185,c_18866,c_12160,c_9578,c_9577,c_6380,c_3762,c_3196,c_2779,c_2468,c_2410,c_2389,c_2360,c_1124,c_126,c_130]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : RNG060+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n015.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 02:01:53 EDT 2023
% 0.13/0.35 % 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
% 11.10/2.19 % SZS status Started for theBenchmark.p
% 11.10/2.19 % SZS status Theorem for theBenchmark.p
% 11.10/2.19
% 11.10/2.19 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 11.10/2.19
% 11.10/2.19 ------ iProver source info
% 11.10/2.19
% 11.10/2.19 git: date: 2023-05-31 18:12:56 +0000
% 11.10/2.19 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 11.10/2.19 git: non_committed_changes: false
% 11.10/2.19 git: last_make_outside_of_git: false
% 11.10/2.19
% 11.10/2.19 ------ Parsing...
% 11.10/2.19 ------ Clausification by vclausify_rel & Parsing by iProver...
% 11.10/2.19
% 11.10/2.19 ------ 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
% 11.10/2.19
% 11.10/2.19 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 11.10/2.19
% 11.10/2.19 ------ Preprocessing... sf_s rm: 4 0s sf_e sf_s rm: 0 0s sf_e
% 11.10/2.19 ------ Proving...
% 11.10/2.19 ------ Problem Properties
% 11.10/2.19
% 11.10/2.19
% 11.10/2.19 clauses 92
% 11.10/2.19 conjectures 1
% 11.10/2.19 EPR 25
% 11.10/2.19 Horn 80
% 11.10/2.19 unary 41
% 11.10/2.19 binary 17
% 11.10/2.19 lits 224
% 11.10/2.19 lits eq 71
% 11.10/2.19 fd_pure 0
% 11.10/2.19 fd_pseudo 0
% 11.10/2.19 fd_cond 1
% 11.10/2.19 fd_pseudo_cond 5
% 11.10/2.19 AC symbols 0
% 11.10/2.19
% 11.10/2.19 ------ Input Options Time Limit: Unbounded
% 11.10/2.19
% 11.10/2.19
% 11.10/2.19 ------
% 11.10/2.19 Current options:
% 11.10/2.19 ------
% 11.10/2.19
% 11.10/2.19
% 11.10/2.19
% 11.10/2.19
% 11.10/2.19 ------ Proving...
% 11.10/2.19
% 11.10/2.19
% 11.10/2.19 % SZS status Theorem for theBenchmark.p
% 11.10/2.19
% 11.10/2.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 11.10/2.19
% 11.10/2.19
%------------------------------------------------------------------------------