%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : RNG092+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:38:50 PM UTC 2026
% Result : Theorem 17.59s 4.01s
% Output : CNFRefutation 17.59s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f58ERROR: Could not build tree for root c_33189ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> aElement0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB) ).
fof(f7,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddComm) ).
fof(f20,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
fof(f24,axiom,
! [X0] :
( aIdeal0(X0)
<=> ( ! [X1] :
( aElementOf0(X1,X0)
=> ( ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),X0) )
& ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(sdtpldt0(X1,X2),X0) ) ) )
& aSet0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefIdeal) ).
fof(f25,axiom,
( aIdeal0(xJ)
& ! [X0] :
( aElementOf0(X0,xJ)
=> ( ! [X1] :
( aElement0(X1)
=> aElementOf0(sdtasdt0(X1,X0),xJ) )
& ! [X1] :
( aElementOf0(X1,xJ)
=> aElementOf0(sdtpldt0(X0,X1),xJ) ) ) )
& aSet0(xJ)
& aIdeal0(xI)
& ! [X0] :
( aElementOf0(X0,xI)
=> ( ! [X1] :
( aElement0(X1)
=> aElementOf0(sdtasdt0(X1,X0),xI) )
& ! [X1] :
( aElementOf0(X1,xI)
=> aElementOf0(sdtpldt0(X0,X1),xI) ) ) )
& aSet0(xI) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__870) ).
fof(f28,plain,
( aIdeal0(xJ)
& ! [X3] :
( aElementOf0(X3,xJ)
=> ( ! [X5] :
( aElement0(X5)
=> aElementOf0(sdtasdt0(X5,X3),xJ) )
& ! [X4] :
( aElementOf0(X4,xJ)
=> aElementOf0(sdtpldt0(X3,X4),xJ) ) ) )
& aSet0(xJ)
& aIdeal0(xI)
& ! [X0] :
( aElementOf0(X0,xI)
=> ( ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X0),xI) )
& ! [X1] :
( aElementOf0(X1,xI)
=> aElementOf0(sdtpldt0(X0,X1),xI) ) ) )
& aSet0(xI) ),
inference(rectify,[],[f25]) ).
fof(f33,plain,
! [X0] :
( aIdeal0(X0)
<=> ( ! [X1] :
( aElementOf0(X1,X0)
=> ( ! [X3] :
( aElement0(X3)
=> aElementOf0(sdtasdt0(X3,X1),X0) )
& ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(sdtpldt0(X1,X2),X0) ) ) )
& aSet0(X0) ) ),
inference(rectify,[],[f24]) ).
fof(f34,plain,
( aIdeal0(xJ)
& ! [X3] :
( ~ aElementOf0(X3,xJ)
| ( ! [X5] :
( ~ aElement0(X5)
| aElementOf0(sdtasdt0(X5,X3),xJ) )
& ! [X4] :
( ~ aElementOf0(X4,xJ)
| aElementOf0(sdtpldt0(X3,X4),xJ) ) ) )
& aSet0(xJ)
& aIdeal0(xI)
& ! [X0] :
( ~ aElementOf0(X0,xI)
| ( ! [X2] :
( ~ aElement0(X2)
| aElementOf0(sdtasdt0(X2,X0),xI) )
& ! [X1] :
( ~ aElementOf0(X1,xI)
| aElementOf0(sdtpldt0(X0,X1),xI) ) ) )
& aSet0(xI) ),
inference(ennf_transformation,[],[f28]) ).
fof(f39,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1) ) ),
inference(ennf_transformation,[],[f20]) ).
fof(f44,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f45,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(flattening,[],[f44]) ).
fof(f46,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| aElement0(sdtpldt0(X0,X1)) ),
inference(ennf_transformation,[],[f5]) ).
fof(f47,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| aElement0(sdtpldt0(X0,X1)) ),
inference(flattening,[],[f46]) ).
fof(f48,plain,
! [X0] :
( aIdeal0(X0)
<=> ( ! [X1] :
( ~ aElementOf0(X1,X0)
| ( ! [X3] :
( ~ aElement0(X3)
| aElementOf0(sdtasdt0(X3,X1),X0) )
& ! [X2] :
( ~ aElementOf0(X2,X0)
| aElementOf0(sdtpldt0(X1,X2),X0) ) ) )
& aSet0(X0) ) ),
inference(ennf_transformation,[],[f33]) ).
fof(f65,plain,
! [X0,X2,X1] :
( ~ sP3(X0,X2,X1)
| ? [X7,X8] :
( sP2(X1,X7,X8,X2,X0)
& sdtpldt0(X7,X8) = X0
& aElementOf0(X8,xJ)
& aElementOf0(X7,xI) ) ),
inference(nnf_transformation,[],[f60]) ).
fof(f66,plain,
! [X0,X1,X2] :
( ~ sP3(X0,X1,X2)
| ? [X3,X4] :
( sP2(X2,X3,X4,X1,X0)
& sdtpldt0(X3,X4) = X0
& aElementOf0(X4,xJ)
& aElementOf0(X3,xI) ) ),
inference(rectify,[],[f65]) ).
fof(f67,plain,
! [X0,X1,X2] :
( ~ sP3(X0,X1,X2)
| ( sP2(X2,sK6(X0,X1,X2),sK7(X0,X1,X2),X1,X0)
& sdtpldt0(sK6(X0,X1,X2),sK7(X0,X1,X2)) = X0
& aElementOf0(sK7(X0,X1,X2),xJ)
& aElementOf0(sK6(X0,X1,X2),xI) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7]),skolemize(X3,sK6(X0,X1,X2)),skolemize(X4,sK7(X0,X1,X2))],[f66]) ).
fof(f68,plain,
! [X1,X7,X8,X2,X0] :
( ~ sP2(X1,X7,X8,X2,X0)
| ? [X9,X10] :
( aElementOf0(sdtasdt0(X2,X0),sdtpldt1(xI,xJ))
& sP0(X0,X2)
& aElementOf0(sdtpldt0(X0,X1),sdtpldt1(xI,xJ))
& sP1(X1,X0)
& sdtpldt0(X0,X1) = sdtpldt0(sdtpldt0(X7,X9),sdtpldt0(X8,X10))
& aElementOf0(sdtasdt0(X2,X8),xJ)
& aElementOf0(sdtasdt0(X2,X7),xI)
& aElementOf0(sdtpldt0(X8,X10),xJ)
& aElementOf0(sdtpldt0(X7,X9),xI)
& sdtpldt0(X9,X10) = X1
& aElementOf0(X10,xJ)
& aElementOf0(X9,xI) ) ),
inference(nnf_transformation,[],[f59]) ).
fof(f69,plain,
! [X0,X1,X2,X3,X4] :
( ~ sP2(X0,X1,X2,X3,X4)
| ? [X5,X6] :
( aElementOf0(sdtasdt0(X3,X4),sdtpldt1(xI,xJ))
& sP0(X4,X3)
& aElementOf0(sdtpldt0(X4,X0),sdtpldt1(xI,xJ))
& sP1(X0,X4)
& sdtpldt0(X4,X0) = sdtpldt0(sdtpldt0(X1,X5),sdtpldt0(X2,X6))
& aElementOf0(sdtasdt0(X3,X2),xJ)
& aElementOf0(sdtasdt0(X3,X1),xI)
& aElementOf0(sdtpldt0(X2,X6),xJ)
& aElementOf0(sdtpldt0(X1,X5),xI)
& sdtpldt0(X5,X6) = X0
& aElementOf0(X6,xJ)
& aElementOf0(X5,xI) ) ),
inference(rectify,[],[f68]) ).
fof(f70,plain,
! [X0,X1,X2,X3,X4] :
( ~ sP2(X0,X1,X2,X3,X4)
| ( aElementOf0(sdtasdt0(X3,X4),sdtpldt1(xI,xJ))
& sP0(X4,X3)
& aElementOf0(sdtpldt0(X4,X0),sdtpldt1(xI,xJ))
& sP1(X0,X4)
& sdtpldt0(X4,X0) = sdtpldt0(sdtpldt0(X1,sK8(X0,X1,X2,X3,X4)),sdtpldt0(X2,sK9(X0,X1,X2,X3,X4)))
& aElementOf0(sdtasdt0(X3,X2),xJ)
& aElementOf0(sdtasdt0(X3,X1),xI)
& aElementOf0(sdtpldt0(X2,sK9(X0,X1,X2,X3,X4)),xJ)
& aElementOf0(sdtpldt0(X1,sK8(X0,X1,X2,X3,X4)),xI)
& sdtpldt0(sK8(X0,X1,X2,X3,X4),sK9(X0,X1,X2,X3,X4)) = X0
& aElementOf0(sK9(X0,X1,X2,X3,X4),xJ)
& aElementOf0(sK8(X0,X1,X2,X3,X4),xI) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9]),skolemize(X5,sK8(X0,X1,X2,X3,X4)),skolemize(X6,sK9(X0,X1,X2,X3,X4))],[f69]) ).
fof(f71,plain,
! [X1,X0] :
( ~ sP1(X1,X0)
| ? [X11,X12] :
( sdtpldt0(X0,X1) = sdtpldt0(X11,X12)
& aElementOf0(X12,xJ)
& aElementOf0(X11,xI) ) ),
inference(nnf_transformation,[],[f58]) ).
fof(f72,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| ? [X2,X3] :
( sdtpldt0(X1,X0) = sdtpldt0(X2,X3)
& aElementOf0(X3,xJ)
& aElementOf0(X2,xI) ) ),
inference(rectify,[],[f71]) ).
fof(f73,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| ( sdtpldt0(X1,X0) = sdtpldt0(sK10(X0,X1),sK11(X0,X1))
& aElementOf0(sK11(X0,X1),xJ)
& aElementOf0(sK10(X0,X1),xI) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10,sK11]),skolemize(X2,sK10(X0,X1)),skolemize(X3,sK11(X0,X1))],[f72]) ).
fof(f77,plain,
( ! [X0,X1,X2] :
( ~ aElement0(X2)
| ( ~ aElementOf0(X1,sdtpldt1(xI,xJ))
& ! [X5,X6] :
( sdtpldt0(X5,X6) != X1
| ~ aElementOf0(X6,xJ)
| ~ aElementOf0(X5,xI) ) )
| ( ~ aElementOf0(X0,sdtpldt1(xI,xJ))
& ! [X3,X4] :
( sdtpldt0(X3,X4) != X0
| ~ aElementOf0(X4,xJ)
| ~ aElementOf0(X3,xI) ) )
| sP3(X0,X2,X1) )
& ! [X15] :
( ( ~ aElementOf0(X15,sdtpldt1(xI,xJ))
| ? [X16,X17] :
( sdtpldt0(X16,X17) = X15
& aElementOf0(X17,xJ)
& aElementOf0(X16,xI) ) )
& ( ! [X16,X17] :
( sdtpldt0(X16,X17) != X15
| ~ aElementOf0(X17,xJ)
| ~ aElementOf0(X16,xI) )
| aElementOf0(X15,sdtpldt1(xI,xJ)) ) )
& aSet0(sdtpldt1(xI,xJ))
& ~ aIdeal0(sdtpldt1(xI,xJ))
& ? [X18] :
( aElementOf0(X18,sdtpldt1(xI,xJ))
& ( ? [X20] :
( aElement0(X20)
& ~ aElementOf0(sdtasdt0(X20,X18),sdtpldt1(xI,xJ)) )
| ? [X19] :
( aElementOf0(X19,sdtpldt1(xI,xJ))
& ~ aElementOf0(sdtpldt0(X18,X19),sdtpldt1(xI,xJ)) ) ) ) ),
inference(nnf_transformation,[],[f61]) ).
fof(f78,plain,
( ! [X8,X9,X10] :
( ~ aElement0(X10)
| ( ~ aElementOf0(X9,sdtpldt1(xI,xJ))
& ! [X13,X14] :
( sdtpldt0(X13,X14) != X9
| ~ aElementOf0(X14,xJ)
| ~ aElementOf0(X13,xI) ) )
| ( ~ aElementOf0(X8,sdtpldt1(xI,xJ))
& ! [X11,X12] :
( sdtpldt0(X11,X12) != X8
| ~ aElementOf0(X12,xJ)
| ~ aElementOf0(X11,xI) ) )
| sP3(X8,X10,X9) )
& ! [X3] :
( ( ~ aElementOf0(X3,sdtpldt1(xI,xJ))
| ? [X6,X7] :
( sdtpldt0(X6,X7) = X3
& aElementOf0(X7,xJ)
& aElementOf0(X6,xI) ) )
& ( ! [X4,X5] :
( sdtpldt0(X4,X5) != X3
| ~ aElementOf0(X5,xJ)
| ~ aElementOf0(X4,xI) )
| aElementOf0(X3,sdtpldt1(xI,xJ)) ) )
& aSet0(sdtpldt1(xI,xJ))
& ~ aIdeal0(sdtpldt1(xI,xJ))
& ? [X0] :
( aElementOf0(X0,sdtpldt1(xI,xJ))
& ( ? [X2] :
( aElement0(X2)
& ~ aElementOf0(sdtasdt0(X2,X0),sdtpldt1(xI,xJ)) )
| ? [X1] :
( aElementOf0(X1,sdtpldt1(xI,xJ))
& ~ aElementOf0(sdtpldt0(X0,X1),sdtpldt1(xI,xJ)) ) ) ) ),
inference(rectify,[],[f77]) ).
fof(f79,plain,
( ! [X8,X9,X10] :
( ~ aElement0(X10)
| ( ~ aElementOf0(X9,sdtpldt1(xI,xJ))
& ! [X13,X14] :
( sdtpldt0(X13,X14) != X9
| ~ aElementOf0(X14,xJ)
| ~ aElementOf0(X13,xI) ) )
| ( ~ aElementOf0(X8,sdtpldt1(xI,xJ))
& ! [X11,X12] :
( sdtpldt0(X11,X12) != X8
| ~ aElementOf0(X12,xJ)
| ~ aElementOf0(X11,xI) ) )
| sP3(X8,X10,X9) )
& ! [X3] :
( ( ~ aElementOf0(X3,sdtpldt1(xI,xJ))
| ( sdtpldt0(sK17(X3),sK18(X3)) = X3
& aElementOf0(sK18(X3),xJ)
& aElementOf0(sK17(X3),xI) ) )
& ( ! [X4,X5] :
( sdtpldt0(X4,X5) != X3
| ~ aElementOf0(X5,xJ)
| ~ aElementOf0(X4,xI) )
| aElementOf0(X3,sdtpldt1(xI,xJ)) ) )
& aSet0(sdtpldt1(xI,xJ))
& ~ aIdeal0(sdtpldt1(xI,xJ))
& aElementOf0(sK14,sdtpldt1(xI,xJ))
& ( ( aElement0(sK16)
& ~ aElementOf0(sdtasdt0(sK16,sK14),sdtpldt1(xI,xJ)) )
| ( aElementOf0(sK15,sdtpldt1(xI,xJ))
& ~ aElementOf0(sdtpldt0(sK14,sK15),sdtpldt1(xI,xJ)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14,sK15,sK16,sK17,sK18]),skolemize(X0,sK14),skolemize(X1,sK15),skolemize(X2,sK16),skolemize(X6,sK17(X3)),skolemize(X7,sK18(X3))],[f78]) ).
fof(f81,plain,
! [X0] :
( ( ~ aIdeal0(X0)
| ( ! [X1] :
( ~ aElementOf0(X1,X0)
| ( ! [X3] :
( ~ aElement0(X3)
| aElementOf0(sdtasdt0(X3,X1),X0) )
& ! [X2] :
( ~ aElementOf0(X2,X0)
| aElementOf0(sdtpldt0(X1,X2),X0) ) ) )
& aSet0(X0) ) )
& ( ? [X1] :
( aElementOf0(X1,X0)
& ( ? [X3] :
( aElement0(X3)
& ~ aElementOf0(sdtasdt0(X3,X1),X0) )
| ? [X2] :
( aElementOf0(X2,X0)
& ~ aElementOf0(sdtpldt0(X1,X2),X0) ) ) )
| ~ aSet0(X0)
| aIdeal0(X0) ) ),
inference(nnf_transformation,[],[f48]) ).
fof(f82,plain,
! [X0] :
( ( ~ aIdeal0(X0)
| ( ! [X1] :
( ~ aElementOf0(X1,X0)
| ( ! [X3] :
( ~ aElement0(X3)
| aElementOf0(sdtasdt0(X3,X1),X0) )
& ! [X2] :
( ~ aElementOf0(X2,X0)
| aElementOf0(sdtpldt0(X1,X2),X0) ) ) )
& aSet0(X0) ) )
& ( ? [X1] :
( aElementOf0(X1,X0)
& ( ? [X3] :
( aElement0(X3)
& ~ aElementOf0(sdtasdt0(X3,X1),X0) )
| ? [X2] :
( aElementOf0(X2,X0)
& ~ aElementOf0(sdtpldt0(X1,X2),X0) ) ) )
| ~ aSet0(X0)
| aIdeal0(X0) ) ),
inference(flattening,[],[f81]) ).
fof(f83,plain,
! [X0] :
( ( ~ aIdeal0(X0)
| ( ! [X4] :
( ~ aElementOf0(X4,X0)
| ( ! [X6] :
( ~ aElement0(X6)
| aElementOf0(sdtasdt0(X6,X4),X0) )
& ! [X5] :
( ~ aElementOf0(X5,X0)
| aElementOf0(sdtpldt0(X4,X5),X0) ) ) )
& aSet0(X0) ) )
& ( ? [X1] :
( aElementOf0(X1,X0)
& ( ? [X3] :
( aElement0(X3)
& ~ aElementOf0(sdtasdt0(X3,X1),X0) )
| ? [X2] :
( aElementOf0(X2,X0)
& ~ aElementOf0(sdtpldt0(X1,X2),X0) ) ) )
| ~ aSet0(X0)
| aIdeal0(X0) ) ),
inference(rectify,[],[f82]) ).
fof(f84,plain,
! [X0] :
( ( ~ aIdeal0(X0)
| ( ! [X4] :
( ~ aElementOf0(X4,X0)
| ( ! [X6] :
( ~ aElement0(X6)
| aElementOf0(sdtasdt0(X6,X4),X0) )
& ! [X5] :
( ~ aElementOf0(X5,X0)
| aElementOf0(sdtpldt0(X4,X5),X0) ) ) )
& aSet0(X0) ) )
& ( ( aElementOf0(sK21(X0),X0)
& ( ( aElement0(sK23(X0))
& ~ aElementOf0(sdtasdt0(sK23(X0),sK21(X0)),X0) )
| ( aElementOf0(sK22(X0),X0)
& ~ aElementOf0(sdtpldt0(sK21(X0),sK22(X0)),X0) ) ) )
| ~ aSet0(X0)
| aIdeal0(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21,sK22,sK23]),skolemize(X1,sK21(X0)),skolemize(X2,sK22(X0)),skolemize(X3,sK23(X0))],[f83]) ).
fof(f98,plain,
aSet0(xI),
inference(cnf_transformation,[],[f34]) ).
fof(f99,plain,
! [X2,X0,X1] :
( ~ sP3(X0,X1,X2)
| sP2(X2,sK6(X0,X1,X2),sK7(X0,X1,X2),X1,X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f103,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP2(X0,X1,X2,X3,X4)
| aElementOf0(sdtasdt0(X3,X4),sdtpldt1(xI,xJ)) ),
inference(cnf_transformation,[],[f70]) ).
fof(f106,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP2(X0,X1,X2,X3,X4)
| sP1(X0,X4) ),
inference(cnf_transformation,[],[f70]) ).
fof(f115,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| sdtpldt0(X1,X0) = sdtpldt0(sK10(X0,X1),sK11(X0,X1)) ),
inference(cnf_transformation,[],[f73]) ).
fof(f116,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| aElementOf0(sK11(X0,X1),xJ) ),
inference(cnf_transformation,[],[f73]) ).
fof(f117,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| aElementOf0(sK10(X0,X1),xI) ),
inference(cnf_transformation,[],[f73]) ).
fof(f121,plain,
! [X10,X8,X9] :
( ~ aElement0(X10)
| ~ aElementOf0(X9,sdtpldt1(xI,xJ))
| ~ aElementOf0(X8,sdtpldt1(xI,xJ))
| sP3(X8,X10,X9) ),
inference(cnf_transformation,[],[f79]) ).
fof(f123,plain,
! [X10,X11,X8,X9,X12] :
( ~ aElement0(X10)
| ~ aElementOf0(X9,sdtpldt1(xI,xJ))
| sdtpldt0(X11,X12) != X8
| ~ aElementOf0(X12,xJ)
| ~ aElementOf0(X11,xI)
| sP3(X8,X10,X9) ),
inference(cnf_transformation,[],[f79]) ).
fof(f125,plain,
! [X3] :
( ~ aElementOf0(X3,sdtpldt1(xI,xJ))
| sdtpldt0(sK17(X3),sK18(X3)) = X3 ),
inference(cnf_transformation,[],[f79]) ).
fof(f126,plain,
! [X3] :
( ~ aElementOf0(X3,sdtpldt1(xI,xJ))
| aElementOf0(sK18(X3),xJ) ),
inference(cnf_transformation,[],[f79]) ).
fof(f127,plain,
! [X3] :
( ~ aElementOf0(X3,sdtpldt1(xI,xJ))
| aElementOf0(sK17(X3),xI) ),
inference(cnf_transformation,[],[f79]) ).
fof(f128,plain,
! [X3,X4,X5] :
( sdtpldt0(X4,X5) != X3
| ~ aElementOf0(X5,xJ)
| ~ aElementOf0(X4,xI)
| aElementOf0(X3,sdtpldt1(xI,xJ)) ),
inference(cnf_transformation,[],[f79]) ).
fof(f129,plain,
aSet0(sdtpldt1(xI,xJ)),
inference(cnf_transformation,[],[f79]) ).
fof(f130,plain,
~ aIdeal0(sdtpldt1(xI,xJ)),
inference(cnf_transformation,[],[f79]) ).
fof(f131,plain,
aElementOf0(sK14,sdtpldt1(xI,xJ)),
inference(cnf_transformation,[],[f79]) ).
fof(f132,plain,
( aElement0(sK16)
| aElementOf0(sK15,sdtpldt1(xI,xJ)) ),
inference(cnf_transformation,[],[f79]) ).
fof(f133,plain,
( ~ aElementOf0(sdtasdt0(sK16,sK14),sdtpldt1(xI,xJ))
| aElementOf0(sK15,sdtpldt1(xI,xJ)) ),
inference(cnf_transformation,[],[f79]) ).
fof(f134,plain,
( aElement0(sK16)
| ~ aElementOf0(sdtpldt0(sK14,sK15),sdtpldt1(xI,xJ)) ),
inference(cnf_transformation,[],[f79]) ).
fof(f135,plain,
( ~ aElementOf0(sdtasdt0(sK16,sK14),sdtpldt1(xI,xJ))
| ~ aElementOf0(sdtpldt0(sK14,sK15),sdtpldt1(xI,xJ)) ),
inference(cnf_transformation,[],[f79]) ).
fof(f140,plain,
! [X0,X1] :
( ~ aSet0(X0)
| ~ aElementOf0(X1,X0)
| aElement0(X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f144,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f145,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| aElement0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f47]) ).
fof(f149,plain,
! [X0] :
( aElementOf0(sK21(X0),X0)
| ~ aSet0(X0)
| aIdeal0(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f169,plain,
! [X4,X5] :
( ~ aElementOf0(X5,xJ)
| ~ aElementOf0(X4,xI)
| aElementOf0(sdtpldt0(X4,X5),sdtpldt1(xI,xJ)) ),
inference(equality_resolution,[],[f128]) ).
fof(f172,plain,
! [X10,X11,X9,X12] :
( ~ aElement0(X10)
| ~ aElementOf0(X9,sdtpldt1(xI,xJ))
| ~ aElementOf0(X12,xJ)
| ~ aElementOf0(X11,xI)
| sP3(sdtpldt0(X11,X12),X10,X9) ),
inference(equality_resolution,[],[f123]) ).
tcf(c_49,plain,
aSet0(xI),
inference(cnf_transformation,[],[f98]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(X2,sK6(X0,X1,X2),sK7(X0,X1,X2),X1,X0)
| ~ sP3(X0,X1,X2) ),
inference(cnf_transformation,[],[f99]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP1(X0,X4)
| ~ sP2(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( aElementOf0(sdtasdt0(X3,X4),sdtpldt1(xI,xJ))
| ~ sP2(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f103]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK10(X0,X1),xI)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f117]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK11(X0,X1),xJ)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f116]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK10(X0,X1),sK11(X0,X1)) = sdtpldt0(X1,X0) )
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f115]) ).
tcf(c_79,negated_conjecture,
( ~ aElementOf0(sdtasdt0(sK16,sK14),sdtpldt1(xI,xJ))
| ~ aElementOf0(sdtpldt0(sK14,sK15),sdtpldt1(xI,xJ)) ),
inference(cnf_transformation,[],[f135]) ).
tcf(c_80,negated_conjecture,
( aElement0(sK16)
| ~ aElementOf0(sdtpldt0(sK14,sK15),sdtpldt1(xI,xJ)) ),
inference(cnf_transformation,[],[f134]) ).
tcf(c_81,negated_conjecture,
( aElementOf0(sK15,sdtpldt1(xI,xJ))
| ~ aElementOf0(sdtasdt0(sK16,sK14),sdtpldt1(xI,xJ)) ),
inference(cnf_transformation,[],[f133]) ).
tcf(c_82,negated_conjecture,
( aElement0(sK16)
| aElementOf0(sK15,sdtpldt1(xI,xJ)) ),
inference(cnf_transformation,[],[f132]) ).
tcf(c_83,negated_conjecture,
aElementOf0(sK14,sdtpldt1(xI,xJ)),
inference(cnf_transformation,[],[f131]) ).
tcf(c_84,negated_conjecture,
~ aIdeal0(sdtpldt1(xI,xJ)),
inference(cnf_transformation,[],[f130]) ).
tcf(c_85,negated_conjecture,
aSet0(sdtpldt1(xI,xJ)),
inference(cnf_transformation,[],[f129]) ).
tcf(c_86,negated_conjecture,
! [X0: $i,X1: $i] :
( aElementOf0(sdtpldt0(X0,X1),sdtpldt1(xI,xJ))
| ~ aElementOf0(X1,xJ)
| ~ aElementOf0(X0,xI) ),
inference(cnf_transformation,[],[f169]) ).
tcf(c_87,negated_conjecture,
! [X0: $i] :
( aElementOf0(sK17(X0),xI)
| ~ aElementOf0(X0,sdtpldt1(xI,xJ)) ),
inference(cnf_transformation,[],[f127]) ).
tcf(c_88,negated_conjecture,
! [X0: $i] :
( aElementOf0(sK18(X0),xJ)
| ~ aElementOf0(X0,sdtpldt1(xI,xJ)) ),
inference(cnf_transformation,[],[f126]) ).
tcf(c_89,negated_conjecture,
! [X0: $i] :
( ( sdtpldt0(sK17(X0),sK18(X0)) = X0 )
| ~ aElementOf0(X0,sdtpldt1(xI,xJ)) ),
inference(cnf_transformation,[],[f125]) ).
tcf(c_91,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP3(sdtpldt0(X1,X2),X3,X0)
| ~ aElement0(X3)
| ~ aElementOf0(X2,xJ)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,sdtpldt1(xI,xJ)) ),
inference(cnf_transformation,[],[f172]) ).
tcf(c_93,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( sP3(X1,X2,X0)
| ~ aElement0(X2)
| ~ aElementOf0(X1,sdtpldt1(xI,xJ))
| ~ aElementOf0(X0,sdtpldt1(xI,xJ)) ),
inference(cnf_transformation,[],[f121]) ).
tcf(c_98,plain,
! [X0: $i,X1: $i] :
( aElement0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(X0,X1) ),
inference(cnf_transformation,[],[f140]) ).
tcf(c_102,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(X0,X1) = sdtpldt0(X1,X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f144]) ).
tcf(c_103,plain,
! [X0: $i,X1: $i] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f145]) ).
tcf(c_108,plain,
! [X0: $i] :
( aIdeal0(X0)
| aElementOf0(sK21(X0),X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f149]) ).
tcf(c_6064,plain,
aElementOf0(sK17(sK14),xI),
inference(superposition,[status(thm)],[c_83,c_87]) ).
tcf(c_6072,plain,
aElementOf0(sK18(sK14),xJ),
inference(superposition,[status(thm)],[c_83,c_88]) ).
tcf(c_6098,plain,
sdtpldt0(sK17(sK14),sK18(sK14)) = sK14,
inference(superposition,[status(thm)],[c_83,c_89]) ).
tcf(c_6142,plain,
! [X0: $i,X1: $i] :
( aElement0(sK16)
| sP3(X0,X1,sK15)
| ~ aElement0(X1)
| ~ aElementOf0(X0,sdtpldt1(xI,xJ)) ),
inference(superposition,[status(thm)],[c_82,c_93]) ).
tcf(c_6190,plain,
! [X0: $i,X1: $i] :
( sP3(sK14,X1,X0)
| ~ aElement0(X1)
| ~ aElementOf0(sK18(sK14),xJ)
| ~ aElementOf0(sK17(sK14),xI)
| ~ aElementOf0(X0,sdtpldt1(xI,xJ)) ),
inference(superposition,[status(thm)],[c_6098,c_91]) ).
tcf(c_6191,plain,
! [X0: $i,X1: $i] :
( sP3(sK14,X1,X0)
| ~ aElement0(X1)
| ~ aElementOf0(X0,sdtpldt1(xI,xJ)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6190,c_6072,c_6064]) ).
tcf(c_6246,plain,
( aElement0(sK14)
| ~ aSet0(sdtpldt1(xI,xJ)) ),
inference(superposition,[status(thm)],[c_83,c_98]) ).
tcf(c_6249,plain,
( aElement0(sK17(sK14))
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_6064,c_98]) ).
tcf(c_6253,plain,
aElement0(sK17(sK14)),
inference(forward_subsumption_resolution,[status(thm)],[c_6249,c_49]) ).
tcf(c_6254,plain,
aElement0(sK14),
inference(forward_subsumption_resolution,[status(thm)],[c_6246,c_85]) ).
tcf(c_6392,plain,
( aIdeal0(sdtpldt1(xI,xJ))
| ( sdtpldt0(sK17(sK21(sdtpldt1(xI,xJ))),sK18(sK21(sdtpldt1(xI,xJ)))) = sK21(sdtpldt1(xI,xJ)) )
| ~ aSet0(sdtpldt1(xI,xJ)) ),
inference(superposition,[status(thm)],[c_108,c_89]) ).
tcf(c_6393,plain,
( aIdeal0(sdtpldt1(xI,xJ))
| aElementOf0(sK18(sK21(sdtpldt1(xI,xJ))),xJ)
| ~ aSet0(sdtpldt1(xI,xJ)) ),
inference(superposition,[status(thm)],[c_108,c_88]) ).
tcf(c_6394,plain,
( aIdeal0(sdtpldt1(xI,xJ))
| aElementOf0(sK17(sK21(sdtpldt1(xI,xJ))),xI)
| ~ aSet0(sdtpldt1(xI,xJ)) ),
inference(superposition,[status(thm)],[c_108,c_87]) ).
tcf(c_6399,plain,
aElementOf0(sK17(sK21(sdtpldt1(xI,xJ))),xI),
inference(forward_subsumption_resolution,[status(thm)],[c_6394,c_84,c_85]) ).
tcf(c_6400,plain,
aElementOf0(sK18(sK21(sdtpldt1(xI,xJ))),xJ),
inference(forward_subsumption_resolution,[status(thm)],[c_6393,c_84,c_85]) ).
tcf(c_6408,plain,
sdtpldt0(sK17(sK21(sdtpldt1(xI,xJ))),sK18(sK21(sdtpldt1(xI,xJ)))) = sK21(sdtpldt1(xI,xJ)),
inference(forward_subsumption_resolution,[status(thm)],[c_6392,c_84,c_85]) ).
tcf(c_6455,plain,
! [X0: $i] :
( aElement0(sK16)
| sP3(sK14,X0,sK15)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_83,c_6142]) ).
tcf(c_6512,plain,
( aElementOf0(sK21(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))
| ~ aElementOf0(sK18(sK21(sdtpldt1(xI,xJ))),xJ)
| ~ aElementOf0(sK17(sK21(sdtpldt1(xI,xJ))),xI) ),
inference(superposition,[status(thm)],[c_6408,c_86]) ).
tcf(c_6520,plain,
aElementOf0(sK21(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ)),
inference(forward_subsumption_resolution,[status(thm)],[c_6512,c_6400,c_6399]) ).
tcf(c_6617,plain,
! [X0: $i] :
( sP3(sK14,X0,sK21(sdtpldt1(xI,xJ)))
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6520,c_6191]) ).
tcf(c_7176,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK14) = sdtpldt0(sK14,X0) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6254,c_102]) ).
tcf(c_7713,plain,
sdtpldt0(sK17(sK14),sK14) = sdtpldt0(sK14,sK17(sK14)),
inference(superposition,[status(thm)],[c_6253,c_7176]) ).
tcf(c_8269,plain,
( aElement0(sdtpldt0(sK14,sK17(sK14)))
| ~ aElement0(sK14)
| ~ aElement0(sK17(sK14)) ),
inference(superposition,[status(thm)],[c_7713,c_103]) ).
tcf(c_8278,plain,
aElement0(sdtpldt0(sK14,sK17(sK14))),
inference(forward_subsumption_resolution,[status(thm)],[c_8269,c_6254,c_6253]) ).
tcf(c_10438,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sdtasdt0(X1,X0),sdtpldt1(xI,xJ))
| ~ sP3(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_60,c_72]) ).
tcf(c_10443,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP1(X2,X0)
| ~ sP3(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_60,c_69]) ).
tcf(c_10979,plain,
! [X0: $i] :
( aElement0(sK16)
| sP1(sK15,sK14)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6455,c_10443]) ).
tcf(c_15330,plain,
( aElement0(sK16)
| sP1(sK15,sK14) ),
inference(superposition,[status(thm)],[c_8278,c_10979]) ).
tcf(c_26296,plain,
! [X0: $i] :
( aElementOf0(sdtasdt0(X0,sK14),sdtpldt1(xI,xJ))
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6617,c_10438]) ).
tcf(c_27310,plain,
( aElementOf0(sK15,sdtpldt1(xI,xJ))
| ~ aElement0(sK16) ),
inference(superposition,[status(thm)],[c_26296,c_81]) ).
tcf(c_27636,plain,
aElementOf0(sK15,sdtpldt1(xI,xJ)),
inference(global_subsumption_just,[status(thm)],[c_27310,c_82,c_27310]) ).
tcf(c_27646,plain,
! [X0: $i] :
( sP3(sK14,X0,sK15)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_27636,c_6191]) ).
tcf(c_28459,plain,
! [X0: $i] :
( sP1(sK15,sK14)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_27646,c_10443]) ).
tcf(c_28475,plain,
sP1(sK15,sK14),
inference(backward_subsumption_resolution,[status(thm)],[c_15330,c_28459]) ).
tcf(c_28516,plain,
sdtpldt0(sK10(sK15,sK14),sK11(sK15,sK14)) = sdtpldt0(sK14,sK15),
inference(superposition,[status(thm)],[c_28475,c_75]) ).
tcf(c_31334,plain,
( aElementOf0(sdtpldt0(sK14,sK15),sdtpldt1(xI,xJ))
| ~ aElementOf0(sK11(sK15,sK14),xJ)
| ~ aElementOf0(sK10(sK15,sK14),xI) ),
inference(superposition,[status(thm)],[c_28516,c_86]) ).
tcf(c_32219,plain,
( ~ aElementOf0(sK11(sK15,sK14),xJ)
| ~ aElementOf0(sK10(sK15,sK14),xI)
| ~ aElementOf0(sdtasdt0(sK16,sK14),sdtpldt1(xI,xJ)) ),
inference(superposition,[status(thm)],[c_31334,c_79]) ).
tcf(c_32220,plain,
( aElement0(sK16)
| ~ aElementOf0(sK11(sK15,sK14),xJ)
| ~ aElementOf0(sK10(sK15,sK14),xI) ),
inference(superposition,[status(thm)],[c_31334,c_80]) ).
tcf(c_32232,plain,
( ( sdtpldt0(sK17(sdtpldt0(sK14,sK15)),sK18(sdtpldt0(sK14,sK15))) = sdtpldt0(sK14,sK15) )
| ~ aElementOf0(sK11(sK15,sK14),xJ)
| ~ aElementOf0(sK10(sK15,sK14),xI) ),
inference(superposition,[status(thm)],[c_31334,c_89]) ).
tcf(c_32332,plain,
( aElement0(sK16)
| ~ sP1(sK15,sK14)
| ~ aElementOf0(sK11(sK15,sK14),xJ) ),
inference(superposition,[status(thm)],[c_73,c_32220]) ).
tcf(c_32333,plain,
( aElement0(sK16)
| ~ aElementOf0(sK11(sK15,sK14),xJ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32332,c_28475]) ).
tcf(c_32345,plain,
( ~ aElement0(sK16)
| ~ aElementOf0(sK11(sK15,sK14),xJ)
| ~ aElementOf0(sK10(sK15,sK14),xI) ),
inference(superposition,[status(thm)],[c_26296,c_32219]) ).
tcf(c_32349,plain,
( ~ aElementOf0(sK10(sK15,sK14),xI)
| ~ aElementOf0(sK11(sK15,sK14),xJ) ),
inference(global_subsumption_just,[status(thm)],[c_32232,c_32333,c_32345]) ).
tcf(c_32350,plain,
( ~ aElementOf0(sK11(sK15,sK14),xJ)
| ~ aElementOf0(sK10(sK15,sK14),xI) ),
inference(renaming,[status(thm)],[c_32349]) ).
tcf(c_32355,plain,
( ~ sP1(sK15,sK14)
| ~ aElementOf0(sK11(sK15,sK14),xJ) ),
inference(superposition,[status(thm)],[c_73,c_32350]) ).
tcf(c_32356,plain,
~ aElementOf0(sK11(sK15,sK14),xJ),
inference(forward_subsumption_resolution,[status(thm)],[c_32355,c_28475]) ).
tcf(c_33188,plain,
~ sP1(sK15,sK14),
inference(superposition,[status(thm)],[c_74,c_32356]) ).
tcf(c_33189,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_33188,c_28475]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG092+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.59 % Computer : n019.cluster.edu
% 0.13/0.59 % Model : x86_64 x86_64
% 0.13/0.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.59 % Memory : 8046.5625MB
% 0.13/0.59 % OS : Linux 6.8.0-71-generic
% 0.13/0.59 % CPULimit : 300
% 0.13/0.59 % WCLimit : 300
% 0.13/0.59 % DateTime : Thu Sep 24 08:11:23 UTC 2026
% 0.13/0.59 % CPUTime :
% 0.13/0.59 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/0.63 Running first-order theorem proving
% 0.16/0.63 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.65
% 0.16/0.65 % ======== iProver multi-core TPTP/SMT =========
% 0.16/0.65
% 0.16/0.65 % Detected problem language: tptp
% 0.16/0.66 % Proving...
% 17.59/4.01 % SZS status Started for theBenchmark.p
% 17.59/4.01 % SZS status Theorem for theBenchmark.p
% 17.59/4.01
% 17.59/4.01 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 17.59/4.01
% 17.59/4.01 % ------ iProver source info
% 17.59/4.01
% 17.59/4.01 % git: date: 2026-07-19 20:42:38 +0200
% 17.59/4.01 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 17.59/4.01 % git: non_committed_changes: false
% 17.59/4.01
% 17.59/4.01 % ------ Parsing...
% 17.59/4.01 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 17.59/4.01
% 17.59/4.01 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 17.59/4.01
% 17.59/4.01 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 17.59/4.01
% 17.59/4.01 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 17.59/4.01 % ------ Proving...
% 17.59/4.01 % ------ Problem Properties
% 17.59/4.01
% 17.59/4.01 %
% 17.59/4.01 % clauses 77
% 17.59/4.01 % conjectures 15
% 17.59/4.01 % EPR 9
% 17.59/4.01 % Horn 66
% 17.59/4.01 % unary 7
% 17.59/4.01 % binary 31
% 17.59/4.01 % lits 220
% 17.59/4.01 % lits eq 20
% 17.59/4.01 % fd_pure 0
% 17.59/4.01 % fd_pseudo 0
% 17.59/4.01 % fd_cond 0
% 17.59/4.01 % fd_pseudo_cond 5
% 17.59/4.01 % AC symbols 0
% 17.59/4.01
% 17.59/4.01 % ------ Schedule dynamic 5 is on
% 17.59/4.01
% 17.59/4.01 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 17.59/4.01
% 17.59/4.01
% 17.59/4.01 % ------
% 17.59/4.01 % Current options:
% 17.59/4.01 % ------
% 17.59/4.01
% 17.59/4.01
% 17.59/4.01 %
% 17.59/4.01
% 17.59/4.01 % ------ Proving...
% 17.59/4.01 %
% 17.59/4.01
% 17.59/4.01 % SZS status Theorem for theBenchmark.p
% 17.59/4.01
% 17.59/4.01 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 17.59/4.01
% 17.59/4.01
%------------------------------------------------------------------------------