%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : RNG092+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n009.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 1.21s 1.78s
% Output : CNFRefutation 1.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 11
% Syntax : Number of formulae : 106 ( 17 unt; 4 def)
% Number of atoms : 627 ( 63 equ)
% Maximal formula atoms : 20 ( 5 avg)
% Number of connectives : 650 ( 219 ~; 227 |; 179 &)
% ( 12 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 2 prp; 0-5 aty)
% Number of functors : 18 ( 18 usr; 3 con; 0-5 aty)
% Number of variables : 284 ( 0 sgn 228 !; 56 ?; 63 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aElement0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).
fof(f5,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> aElement0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB) ).
fof(f16,axiom,
! [X0] :
( aElement0(X0)
=> ( sz00 = sdtasdt0(sz00,X0)
& sdtasdt0(X0,sz00) = sz00 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulZero) ).
fof(f22,axiom,
! [X0,X1] :
( ( aSet0(X1)
& aSet0(X0) )
=> ! [X2] :
( X2 = sdtpldt1(X0,X1)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4,X5] :
( sdtpldt0(X4,X5) = X3
& aElementOf0(X5,X1)
& aElementOf0(X4,X0) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSSum) ).
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/sandbox2/benchmark/theBenchmark.p',mDefIdeal) ).
fof(f25,axiom,
( aIdeal0(xJ)
& aIdeal0(xI) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__870) ).
fof(f26,conjecture,
( ! [X0,X1,X2] :
( ( aElement0(X2)
& aElementOf0(X1,sdtpldt1(xI,xJ))
& aElementOf0(X0,sdtpldt1(xI,xJ)) )
=> ? [X3,X4] :
( ? [X5,X6] :
( aElementOf0(sdtasdt0(X2,X0),sdtpldt1(xI,xJ))
& aElementOf0(sdtpldt0(X0,X1),sdtpldt1(xI,xJ))
& sdtpldt0(X0,X1) = sdtpldt0(sdtpldt0(X3,X5),sdtpldt0(X4,X6))
& aElementOf0(sdtasdt0(X2,X4),xJ)
& aElementOf0(sdtasdt0(X2,X3),xI)
& aElementOf0(sdtpldt0(X4,X6),xJ)
& aElementOf0(sdtpldt0(X3,X5),xI)
& X1 = sdtpldt0(X5,X6)
& aElementOf0(X6,xJ)
& aElementOf0(X5,xI) )
& X0 = sdtpldt0(X3,X4)
& aElementOf0(X4,xJ)
& aElementOf0(X3,xI) ) )
=> aIdeal0(sdtpldt1(xI,xJ)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f27,negated_conjecture,
~ ( ! [X0,X1,X2] :
( ( aElement0(X2)
& aElementOf0(X1,sdtpldt1(xI,xJ))
& aElementOf0(X0,sdtpldt1(xI,xJ)) )
=> ? [X3,X4] :
( ? [X5,X6] :
( aElementOf0(sdtasdt0(X2,X0),sdtpldt1(xI,xJ))
& aElementOf0(sdtpldt0(X0,X1),sdtpldt1(xI,xJ))
& sdtpldt0(X0,X1) = sdtpldt0(sdtpldt0(X3,X5),sdtpldt0(X4,X6))
& aElementOf0(sdtasdt0(X2,X4),xJ)
& aElementOf0(sdtasdt0(X2,X3),xI)
& aElementOf0(sdtpldt0(X4,X6),xJ)
& aElementOf0(sdtpldt0(X3,X5),xI)
& X1 = sdtpldt0(X5,X6)
& aElementOf0(X6,xJ)
& aElementOf0(X5,xI) )
& X0 = sdtpldt0(X3,X4)
& aElementOf0(X4,xJ)
& aElementOf0(X3,xI) ) )
=> aIdeal0(sdtpldt1(xI,xJ)) ),
inference(negated_conjecture,[status(cth)],[f26]) ).
fof(f31,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(f33,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| aElement0(sdtpldt0(X0,X1)) ),
inference(ennf_transformation,[],[f5]) ).
fof(f34,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| aElement0(sdtpldt0(X0,X1)) ),
inference(flattening,[],[f33]) ).
fof(f51,plain,
! [X0] :
( ~ aElement0(X0)
| ( sz00 = sdtasdt0(sz00,X0)
& sdtasdt0(X0,sz00) = sz00 ) ),
inference(ennf_transformation,[],[f16]) ).
fof(f57,plain,
! [X0,X1] :
( ~ aSet0(X1)
| ~ aSet0(X0)
| ! [X2] :
( X2 = sdtpldt1(X0,X1)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4,X5] :
( sdtpldt0(X4,X5) = X3
& aElementOf0(X5,X1)
& aElementOf0(X4,X0) ) )
& aSet0(X2) ) ) ),
inference(ennf_transformation,[],[f22]) ).
fof(f58,plain,
! [X0,X1] :
( ~ aSet0(X1)
| ~ aSet0(X0)
| ! [X2] :
( X2 = sdtpldt1(X0,X1)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4,X5] :
( sdtpldt0(X4,X5) = X3
& aElementOf0(X5,X1)
& aElementOf0(X4,X0) ) )
& aSet0(X2) ) ) ),
inference(flattening,[],[f57]) ).
fof(f61,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,[],[f31]) ).
fof(f62,plain,
( ! [X0,X1,X2] :
( ~ aElement0(X2)
| ~ aElementOf0(X1,sdtpldt1(xI,xJ))
| ~ aElementOf0(X0,sdtpldt1(xI,xJ))
| ? [X3,X4] :
( ? [X5,X6] :
( aElementOf0(sdtasdt0(X2,X0),sdtpldt1(xI,xJ))
& aElementOf0(sdtpldt0(X0,X1),sdtpldt1(xI,xJ))
& sdtpldt0(X0,X1) = sdtpldt0(sdtpldt0(X3,X5),sdtpldt0(X4,X6))
& aElementOf0(sdtasdt0(X2,X4),xJ)
& aElementOf0(sdtasdt0(X2,X3),xI)
& aElementOf0(sdtpldt0(X4,X6),xJ)
& aElementOf0(sdtpldt0(X3,X5),xI)
& X1 = sdtpldt0(X5,X6)
& aElementOf0(X6,xJ)
& aElementOf0(X5,xI) )
& X0 = sdtpldt0(X3,X4)
& aElementOf0(X4,xJ)
& aElementOf0(X3,xI) ) )
& ~ aIdeal0(sdtpldt1(xI,xJ)) ),
inference(ennf_transformation,[],[f27]) ).
fof(f63,plain,
( ! [X0,X1,X2] :
( ~ aElement0(X2)
| ~ aElementOf0(X1,sdtpldt1(xI,xJ))
| ~ aElementOf0(X0,sdtpldt1(xI,xJ))
| ? [X3,X4] :
( ? [X5,X6] :
( aElementOf0(sdtasdt0(X2,X0),sdtpldt1(xI,xJ))
& aElementOf0(sdtpldt0(X0,X1),sdtpldt1(xI,xJ))
& sdtpldt0(X0,X1) = sdtpldt0(sdtpldt0(X3,X5),sdtpldt0(X4,X6))
& aElementOf0(sdtasdt0(X2,X4),xJ)
& aElementOf0(sdtasdt0(X2,X3),xI)
& aElementOf0(sdtpldt0(X4,X6),xJ)
& aElementOf0(sdtpldt0(X3,X5),xI)
& X1 = sdtpldt0(X5,X6)
& aElementOf0(X6,xJ)
& aElementOf0(X5,xI) )
& X0 = sdtpldt0(X3,X4)
& aElementOf0(X4,xJ)
& aElementOf0(X3,xI) ) )
& ~ aIdeal0(sdtpldt1(xI,xJ)) ),
inference(flattening,[],[f62]) ).
fof(f70,plain,
! [X1,X0] :
( ~ sP1(X1,X0)
| ! [X2] :
( ( sdtpldt1(X0,X1) != X2
| sP0(X2,X0,X1) )
& ( ~ sP0(X2,X0,X1)
| X2 = sdtpldt1(X0,X1) ) ) ),
inference(nnf_transformation,[],[f65]) ).
fof(f71,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| ! [X2] :
( ( sdtpldt1(X1,X0) != X2
| sP0(X2,X1,X0) )
& ( ~ sP0(X2,X1,X0)
| sdtpldt1(X1,X0) = X2 ) ) ),
inference(rectify,[],[f70]) ).
fof(f80,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,[],[f61]) ).
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(flattening,[],[f80]) ).
fof(f82,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,[],[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) ) )
& ( ( aElementOf0(sK11(X0),X0)
& ( ( aElement0(sK13(X0))
& ~ aElementOf0(sdtasdt0(sK13(X0),sK11(X0)),X0) )
| ( aElementOf0(sK12(X0),X0)
& ~ aElementOf0(sdtpldt0(sK11(X0),sK12(X0)),X0) ) ) )
| ~ aSet0(X0)
| aIdeal0(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11,sK12,sK13]),skolemize(X1,sK11(X0)),skolemize(X2,sK12(X0)),skolemize(X3,sK13(X0))],[f82]) ).
fof(f87,plain,
( ! [X0,X1,X2] :
( ~ aElement0(X2)
| ~ aElementOf0(X1,sdtpldt1(xI,xJ))
| ~ aElementOf0(X0,sdtpldt1(xI,xJ))
| ( sP2(X1,sK16(X0,X1,X2),sK17(X0,X1,X2),X2,X0)
& sdtpldt0(sK16(X0,X1,X2),sK17(X0,X1,X2)) = X0
& aElementOf0(sK17(X0,X1,X2),xJ)
& aElementOf0(sK16(X0,X1,X2),xI) ) )
& ~ aIdeal0(sdtpldt1(xI,xJ)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16,sK17]),skolemize(X3,sK16(X0,X1,X2)),skolemize(X4,sK17(X0,X1,X2))],[f68]) ).
fof(f88,plain,
aElement0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f91,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| aElement0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f34]) ).
fof(f107,plain,
! [X0] :
( ~ aElement0(X0)
| sz00 = sdtasdt0(sz00,X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f116,plain,
! [X2,X0,X1] :
( ~ sP1(X0,X1)
| sdtpldt1(X1,X0) != X2
| sP0(X2,X1,X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f127,plain,
! [X0,X1] :
( ~ aSet0(X1)
| ~ aSet0(X0)
| sP1(X1,X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f137,plain,
! [X0] :
( ~ aIdeal0(X0)
| aSet0(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f138,plain,
! [X0] :
( aElementOf0(sK11(X0),X0)
| ~ aSet0(X0)
| aIdeal0(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f139,plain,
! [X0] :
( aElement0(sK13(X0))
| aElementOf0(sK12(X0),X0)
| ~ aSet0(X0)
| aIdeal0(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f140,plain,
! [X0] :
( ~ aElementOf0(sdtasdt0(sK13(X0),sK11(X0)),X0)
| aElementOf0(sK12(X0),X0)
| ~ aSet0(X0)
| aIdeal0(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f141,plain,
! [X0] :
( aElement0(sK13(X0))
| ~ aElementOf0(sdtpldt0(sK11(X0),sK12(X0)),X0)
| ~ aSet0(X0)
| aIdeal0(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f142,plain,
! [X0] :
( ~ aElementOf0(sdtasdt0(sK13(X0),sK11(X0)),X0)
| ~ aElementOf0(sdtpldt0(sK11(X0),sK12(X0)),X0)
| ~ aSet0(X0)
| aIdeal0(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f143,plain,
aIdeal0(xJ),
inference(cnf_transformation,[],[f25]) ).
fof(f144,plain,
aIdeal0(xI),
inference(cnf_transformation,[],[f25]) ).
fof(f155,plain,
! [X2,X0,X1] :
( ~ aElement0(X2)
| ~ aElementOf0(X1,sdtpldt1(xI,xJ))
| ~ aElementOf0(X0,sdtpldt1(xI,xJ))
| sP2(X1,sK16(X0,X1,X2),sK17(X0,X1,X2),X2,X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f159,plain,
~ aIdeal0(sdtpldt1(xI,xJ)),
inference(cnf_transformation,[],[f87]) ).
fof(f160,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| sP0(sdtpldt1(X1,X0),X1,X0) ),
inference(equality_resolution,[],[f116]) ).
tcf(c_49,plain,
aElement0(sz00),
inference(cnf_transformation,[],[f88]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f91]) ).
tcf(c_69,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,X0) = sz00 )
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f107]) ).
tcf(c_78,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt1(X1,X0),X1,X0)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f160]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i] :
( sP1(X1,X0)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f127]) ).
tcf(c_96,plain,
! [X0: $i] :
( aIdeal0(X0)
| ~ aSet0(X0)
| ~ aElementOf0(sdtasdt0(sK13(X0),sK11(X0)),X0)
| ~ aElementOf0(sdtpldt0(sK11(X0),sK12(X0)),X0) ),
inference(cnf_transformation,[],[f142]) ).
tcf(c_97,plain,
! [X0: $i] :
( aIdeal0(X0)
| aElement0(sK13(X0))
| ~ aSet0(X0)
| ~ aElementOf0(sdtpldt0(sK11(X0),sK12(X0)),X0) ),
inference(cnf_transformation,[],[f141]) ).
tcf(c_98,plain,
! [X0: $i] :
( aIdeal0(X0)
| aElementOf0(sK12(X0),X0)
| ~ aSet0(X0)
| ~ aElementOf0(sdtasdt0(sK13(X0),sK11(X0)),X0) ),
inference(cnf_transformation,[],[f140]) ).
tcf(c_99,plain,
! [X0: $i] :
( aIdeal0(X0)
| aElement0(sK13(X0))
| aElementOf0(sK12(X0),X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f139]) ).
tcf(c_100,plain,
! [X0: $i] :
( aIdeal0(X0)
| aElementOf0(sK11(X0),X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f138]) ).
tcf(c_101,plain,
! [X0: $i] :
( aSet0(X0)
| ~ aIdeal0(X0) ),
inference(cnf_transformation,[],[f137]) ).
tcf(c_104,plain,
aIdeal0(xI),
inference(cnf_transformation,[],[f144]) ).
tcf(c_105,plain,
aIdeal0(xJ),
inference(cnf_transformation,[],[f143]) ).
tcf(c_116,negated_conjecture,
~ aIdeal0(sdtpldt1(xI,xJ)),
inference(cnf_transformation,[],[f159]) ).
tcf(c_120,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( sP2(X1,sK16(X0,X1,X2),sK17(X0,X1,X2),X2,X0)
| ~ aElement0(X2)
| ~ aElementOf0(X1,sdtpldt1(xI,xJ))
| ~ aElementOf0(X0,sdtpldt1(xI,xJ)) ),
inference(cnf_transformation,[],[f155]) ).
tcf(c_1079,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(sdtpldt1(X2,X0),X2,X0)
| ~ aSet0(X3)
| ~ aSet0(X1)
| ( X2 != X3 )
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_78,c_88]) ).
tcf(c_1080,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt1(X1,X0),X1,X0)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(unflattening,[status(thm)],[c_1079]) ).
tcf(c_4449,definition,
iPr_def_10 = sdtpldt1(xI,xJ),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_4450,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( sP2(X1,sK16(X0,X1,X2),sK17(X0,X1,X2),X2,X0)
| ~ aElement0(X2)
| ~ aElementOf0(X1,iPr_def_10)
| ~ aElementOf0(X0,iPr_def_10) ),
inference(demodulation,[status(thm)],[c_120,c_4449]) ).
tcf(c_4454,negated_conjecture,
~ aIdeal0(iPr_def_10),
inference(demodulation,[status(thm)],[c_116]) ).
tcf(c_5552,plain,
aSet0(xI),
inference(superposition,[status(thm)],[c_104,c_101]) ).
tcf(c_5553,plain,
aSet0(xJ),
inference(superposition,[status(thm)],[c_105,c_101]) ).
tcf(c_5698,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtpldt0(X0,X1)) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_52,c_69]) ).
tcf(c_6390,plain,
( aIdeal0(iPr_def_10)
| aElementOf0(sK11(iPr_def_10),iPr_def_10)
| ~ aSet0(iPr_def_10) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_6397,plain,
( aIdeal0(iPr_def_10)
| aElement0(sK13(iPr_def_10))
| aElementOf0(sK12(iPr_def_10),iPr_def_10)
| ~ aSet0(iPr_def_10) ),
inference(instantiation,[status(thm)],[c_99]) ).
tcf(c_8865,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,X0)) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_49,c_5698]) ).
tcf(c_14529,plain,
( sP0(iPr_def_10,xI,xJ)
| ~ aSet0(xJ)
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_4449,c_1080]) ).
tcf(c_14538,plain,
sP0(iPr_def_10,xI,xJ),
inference(forward_subsumption_resolution,[status(thm)],[c_14529,c_5553,c_5552]) ).
fof(f64,definition,
! [X2,X0,X1] :
( sP0(X2,X0,X1)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4,X5] :
( sdtpldt0(X4,X5) = X3
& aElementOf0(X5,X1)
& aElementOf0(X4,X0) ) )
& aSet0(X2) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f65,definition,
! [X1,X0] :
( ~ sP1(X1,X0)
| ! [X2] :
( X2 = sdtpldt1(X0,X1)
<=> sP0(X2,X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f66,plain,
! [X0,X1] :
( ~ aSet0(X1)
| ~ aSet0(X0)
| sP1(X1,X0) ),
inference(definition_folding,[],[f58,f65,f64]) ).
fof(f67,definition,
! [X1,X3,X4,X2,X0] :
( ~ sP2(X1,X3,X4,X2,X0)
| ? [X5,X6] :
( aElementOf0(sdtasdt0(X2,X0),sdtpldt1(xI,xJ))
& aElementOf0(sdtpldt0(X0,X1),sdtpldt1(xI,xJ))
& sdtpldt0(X0,X1) = sdtpldt0(sdtpldt0(X3,X5),sdtpldt0(X4,X6))
& aElementOf0(sdtasdt0(X2,X4),xJ)
& aElementOf0(sdtasdt0(X2,X3),xI)
& aElementOf0(sdtpldt0(X4,X6),xJ)
& aElementOf0(sdtpldt0(X3,X5),xI)
& X1 = sdtpldt0(X5,X6)
& aElementOf0(X6,xJ)
& aElementOf0(X5,xI) ) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f68,plain,
( ! [X0,X1,X2] :
( ~ aElement0(X2)
| ~ aElementOf0(X1,sdtpldt1(xI,xJ))
| ~ aElementOf0(X0,sdtpldt1(xI,xJ))
| ? [X3,X4] :
( sP2(X1,X3,X4,X2,X0)
& X0 = sdtpldt0(X3,X4)
& aElementOf0(X4,xJ)
& aElementOf0(X3,xI) ) )
& ~ aIdeal0(sdtpldt1(xI,xJ)) ),
inference(definition_folding,[],[f63,f67]) ).
fof(f72,plain,
! [X2,X0,X1] :
( ( ~ sP0(X2,X0,X1)
| ( ! [X3] :
( ( ~ aElementOf0(X3,X2)
| ? [X4,X5] :
( sdtpldt0(X4,X5) = X3
& aElementOf0(X5,X1)
& aElementOf0(X4,X0) ) )
& ( ! [X4,X5] :
( sdtpldt0(X4,X5) != X3
| ~ aElementOf0(X5,X1)
| ~ aElementOf0(X4,X0) )
| aElementOf0(X3,X2) ) )
& aSet0(X2) ) )
& ( ? [X3] :
( ( aElementOf0(X3,X2)
| ? [X4,X5] :
( sdtpldt0(X4,X5) = X3
& aElementOf0(X5,X1)
& aElementOf0(X4,X0) ) )
& ( ~ aElementOf0(X3,X2)
| ! [X4,X5] :
( sdtpldt0(X4,X5) != X3
| ~ aElementOf0(X5,X1)
| ~ aElementOf0(X4,X0) ) ) )
| ~ aSet0(X2)
| sP0(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f64]) ).
fof(f73,plain,
! [X2,X0,X1] :
( ( ~ sP0(X2,X0,X1)
| ( ! [X3] :
( ( ~ aElementOf0(X3,X2)
| ? [X4,X5] :
( sdtpldt0(X4,X5) = X3
& aElementOf0(X5,X1)
& aElementOf0(X4,X0) ) )
& ( ! [X4,X5] :
( sdtpldt0(X4,X5) != X3
| ~ aElementOf0(X5,X1)
| ~ aElementOf0(X4,X0) )
| aElementOf0(X3,X2) ) )
& aSet0(X2) ) )
& ( ? [X3] :
( ( aElementOf0(X3,X2)
| ? [X4,X5] :
( sdtpldt0(X4,X5) = X3
& aElementOf0(X5,X1)
& aElementOf0(X4,X0) ) )
& ( ~ aElementOf0(X3,X2)
| ! [X4,X5] :
( sdtpldt0(X4,X5) != X3
| ~ aElementOf0(X5,X1)
| ~ aElementOf0(X4,X0) ) ) )
| ~ aSet0(X2)
| sP0(X2,X0,X1) ) ),
inference(flattening,[],[f72]) ).
fof(f74,plain,
! [X0,X1,X2] :
( ( ~ sP0(X0,X1,X2)
| ( ! [X8] :
( ( ~ aElementOf0(X8,X0)
| ? [X11,X12] :
( sdtpldt0(X11,X12) = X8
& aElementOf0(X12,X2)
& aElementOf0(X11,X1) ) )
& ( ! [X9,X10] :
( sdtpldt0(X9,X10) != X8
| ~ aElementOf0(X10,X2)
| ~ aElementOf0(X9,X1) )
| aElementOf0(X8,X0) ) )
& aSet0(X0) ) )
& ( ? [X3] :
( ( aElementOf0(X3,X0)
| ? [X6,X7] :
( sdtpldt0(X6,X7) = X3
& aElementOf0(X7,X2)
& aElementOf0(X6,X1) ) )
& ( ~ aElementOf0(X3,X0)
| ! [X4,X5] :
( sdtpldt0(X4,X5) != X3
| ~ aElementOf0(X5,X2)
| ~ aElementOf0(X4,X1) ) ) )
| ~ aSet0(X0)
| sP0(X0,X1,X2) ) ),
inference(rectify,[],[f73]) ).
fof(f75,plain,
! [X0,X1,X2] :
( ( ~ sP0(X0,X1,X2)
| ( ! [X8] :
( ( ~ aElementOf0(X8,X0)
| ( sdtpldt0(sK8(X1,X2,X8),sK9(X1,X2,X8)) = X8
& aElementOf0(sK9(X1,X2,X8),X2)
& aElementOf0(sK8(X1,X2,X8),X1) ) )
& ( ! [X9,X10] :
( sdtpldt0(X9,X10) != X8
| ~ aElementOf0(X10,X2)
| ~ aElementOf0(X9,X1) )
| aElementOf0(X8,X0) ) )
& aSet0(X0) ) )
& ( ( ( aElementOf0(sK5(X0,X1,X2),X0)
| ( sK5(X0,X1,X2) = sdtpldt0(sK6(X0,X1,X2),sK7(X0,X1,X2))
& aElementOf0(sK7(X0,X1,X2),X2)
& aElementOf0(sK6(X0,X1,X2),X1) ) )
& ( ~ aElementOf0(sK5(X0,X1,X2),X0)
| ! [X4,X5] :
( sdtpldt0(X4,X5) != sK5(X0,X1,X2)
| ~ aElementOf0(X5,X2)
| ~ aElementOf0(X4,X1) ) ) )
| ~ aSet0(X0)
| sP0(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6,sK7,sK8,sK9]),skolemize(X3,sK5(X0,X1,X2)),skolemize(X6,sK6(X0,X1,X2)),skolemize(X7,sK7(X0,X1,X2)),skolemize(X11,sK8(X1,X2,X8)),skolemize(X12,sK9(X1,X2,X8))],[f74]) ).
fof(f84,plain,
! [X1,X3,X4,X2,X0] :
( ~ sP2(X1,X3,X4,X2,X0)
| ? [X5,X6] :
( aElementOf0(sdtasdt0(X2,X0),sdtpldt1(xI,xJ))
& aElementOf0(sdtpldt0(X0,X1),sdtpldt1(xI,xJ))
& sdtpldt0(X0,X1) = sdtpldt0(sdtpldt0(X3,X5),sdtpldt0(X4,X6))
& aElementOf0(sdtasdt0(X2,X4),xJ)
& aElementOf0(sdtasdt0(X2,X3),xI)
& aElementOf0(sdtpldt0(X4,X6),xJ)
& aElementOf0(sdtpldt0(X3,X5),xI)
& X1 = sdtpldt0(X5,X6)
& aElementOf0(X6,xJ)
& aElementOf0(X5,xI) ) ),
inference(nnf_transformation,[],[f67]) ).
fof(f85,plain,
! [X0,X1,X2,X3,X4] :
( ~ sP2(X0,X1,X2,X3,X4)
| ? [X5,X6] :
( aElementOf0(sdtasdt0(X3,X4),sdtpldt1(xI,xJ))
& aElementOf0(sdtpldt0(X4,X0),sdtpldt1(xI,xJ))
& 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,[],[f84]) ).
fof(f86,plain,
! [X0,X1,X2,X3,X4] :
( ~ sP2(X0,X1,X2,X3,X4)
| ( aElementOf0(sdtasdt0(X3,X4),sdtpldt1(xI,xJ))
& aElementOf0(sdtpldt0(X4,X0),sdtpldt1(xI,xJ))
& sdtpldt0(X4,X0) = sdtpldt0(sdtpldt0(X1,sK14(X0,X1,X2,X3,X4)),sdtpldt0(X2,sK15(X0,X1,X2,X3,X4)))
& aElementOf0(sdtasdt0(X3,X2),xJ)
& aElementOf0(sdtasdt0(X3,X1),xI)
& aElementOf0(sdtpldt0(X2,sK15(X0,X1,X2,X3,X4)),xJ)
& aElementOf0(sdtpldt0(X1,sK14(X0,X1,X2,X3,X4)),xI)
& sdtpldt0(sK14(X0,X1,X2,X3,X4),sK15(X0,X1,X2,X3,X4)) = X0
& aElementOf0(sK15(X0,X1,X2,X3,X4),xJ)
& aElementOf0(sK14(X0,X1,X2,X3,X4),xI) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14,sK15]),skolemize(X5,sK14(X0,X1,X2,X3,X4)),skolemize(X6,sK15(X0,X1,X2,X3,X4))],[f85]) ).
fof(f122,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| aSet0(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f145,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP2(X0,X1,X2,X3,X4)
| aElementOf0(sdtasdt0(X3,X4),sdtpldt1(xI,xJ)) ),
inference(cnf_transformation,[],[f86]) ).
fof(f146,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP2(X0,X1,X2,X3,X4)
| aElementOf0(sdtpldt0(X4,X0),sdtpldt1(xI,xJ)) ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i,X2: $i] :
( aSet0(X0)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f122]) ).
tcf(c_114,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( aElementOf0(sdtpldt0(X4,X0),sdtpldt1(xI,xJ))
| ~ sP2(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f146]) ).
tcf(c_115,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,[],[f145]) ).
tcf(c_7056,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( aElementOf0(sdtpldt0(X4,X0),iPr_def_10)
| ~ sP2(X0,X1,X2,X3,X4) ),
inference(light_normalisation,[status(thm)],[c_114,c_4449]) ).
tcf(c_7063,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sdtpldt0(X0,X1),iPr_def_10)
| ~ aElement0(X2)
| ~ aElementOf0(X1,iPr_def_10)
| ~ aElementOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_4450,c_7056]) ).
tcf(c_7069,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( aElementOf0(sdtasdt0(X3,X4),iPr_def_10)
| ~ sP2(X0,X1,X2,X3,X4) ),
inference(light_normalisation,[status(thm)],[c_115,c_4449]) ).
tcf(c_7076,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sdtasdt0(X2,X0),iPr_def_10)
| ~ aElement0(X2)
| ~ aElementOf0(X1,iPr_def_10)
| ~ aElementOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_4450,c_7069]) ).
tcf(c_7264,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sdtpldt0(X0,X1),iPr_def_10)
| ~ aElementOf0(X1,iPr_def_10)
| ~ aElementOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_49,c_7063]) ).
tcf(c_7288,plain,
! [X0: $i,X1: $i] :
( aIdeal0(iPr_def_10)
| aElementOf0(sdtasdt0(X1,X0),iPr_def_10)
| ~ aSet0(iPr_def_10)
| ~ aElement0(X1)
| ~ aElementOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_100,c_7076]) ).
tcf(c_7289,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sdtasdt0(X1,X0),iPr_def_10)
| ~ aSet0(iPr_def_10)
| ~ aElement0(X1)
| ~ aElementOf0(X0,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7288,c_4454]) ).
tcf(c_9054,plain,
( aIdeal0(iPr_def_10)
| aElement0(sK13(iPr_def_10))
| ~ aSet0(iPr_def_10)
| ~ aElementOf0(sK12(iPr_def_10),iPr_def_10)
| ~ aElementOf0(sK11(iPr_def_10),iPr_def_10) ),
inference(superposition,[status(thm)],[c_7264,c_97]) ).
tcf(c_9055,plain,
( aElement0(sK13(iPr_def_10))
| ~ aSet0(iPr_def_10)
| ~ aElementOf0(sK12(iPr_def_10),iPr_def_10)
| ~ aElementOf0(sK11(iPr_def_10),iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9054,c_4454]) ).
tcf(c_9258,plain,
( aElement0(sK13(iPr_def_10))
| ~ aSet0(iPr_def_10) ),
inference(global_subsumption_just,[status(thm)],[c_9055,c_4454,c_6390,c_6397,c_9055]) ).
tcf(c_9683,plain,
( aIdeal0(iPr_def_10)
| aElementOf0(sK12(iPr_def_10),iPr_def_10)
| ~ aSet0(iPr_def_10)
| ~ aElement0(sK13(iPr_def_10))
| ~ aElementOf0(sK11(iPr_def_10),iPr_def_10) ),
inference(superposition,[status(thm)],[c_7289,c_98]) ).
tcf(c_9684,plain,
( aElementOf0(sK12(iPr_def_10),iPr_def_10)
| ~ aSet0(iPr_def_10)
| ~ aElement0(sK13(iPr_def_10))
| ~ aElementOf0(sK11(iPr_def_10),iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9683,c_4454]) ).
tcf(c_11114,plain,
( ( sdtasdt0(sz00,sdtpldt0(sz00,sK13(iPr_def_10))) = sz00 )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_9258,c_8865]) ).
tcf(c_13667,plain,
( aIdeal0(iPr_def_10)
| ~ aSet0(iPr_def_10)
| ~ aElementOf0(sK12(iPr_def_10),iPr_def_10)
| ~ aElementOf0(sK11(iPr_def_10),iPr_def_10)
| ~ aElementOf0(sdtasdt0(sK13(iPr_def_10),sK11(iPr_def_10)),iPr_def_10) ),
inference(superposition,[status(thm)],[c_7264,c_96]) ).
tcf(c_13668,plain,
( ~ aSet0(iPr_def_10)
| ~ aElementOf0(sK12(iPr_def_10),iPr_def_10)
| ~ aElementOf0(sK11(iPr_def_10),iPr_def_10)
| ~ aElementOf0(sdtasdt0(sK13(iPr_def_10),sK11(iPr_def_10)),iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13667,c_4454]) ).
tcf(c_13904,plain,
( ~ aSet0(iPr_def_10)
| ~ aElementOf0(sdtasdt0(sK13(iPr_def_10),sK11(iPr_def_10)),iPr_def_10) ),
inference(global_subsumption_just,[status(thm)],[c_13668,c_4454,c_6390,c_6397,c_9055,c_9684,c_13668]) ).
tcf(c_13911,plain,
( ~ aSet0(iPr_def_10)
| ~ aElement0(sK13(iPr_def_10))
| ~ aElementOf0(sK11(iPr_def_10),iPr_def_10) ),
inference(superposition,[status(thm)],[c_7289,c_13904]) ).
tcf(c_13915,plain,
~ aSet0(iPr_def_10),
inference(global_subsumption_just,[status(thm)],[c_11114,c_4454,c_6390,c_9258,c_13911]) ).
tcf(c_14714,plain,
aSet0(iPr_def_10),
inference(superposition,[status(thm)],[c_14538,c_83]) ).
tcf(c_14715,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_14714,c_13915]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG092+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.38 % Computer : n009.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Thu Sep 24 08:11:14 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.44
% 0.11/0.44 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.44
% 0.11/0.44 % Detected problem language: tptp
% 0.11/0.45 % Proving...
% 1.21/1.78 % SZS status Started for theBenchmark.p
% 1.21/1.78 % SZS status Theorem for theBenchmark.p
% 1.21/1.78
% 1.21/1.78 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.21/1.78
% 1.21/1.78 % ------ iProver source info
% 1.21/1.78
% 1.21/1.78 % git: date: 2026-07-19 20:42:38 +0200
% 1.21/1.78 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.21/1.78 % git: non_committed_changes: false
% 1.21/1.78
% 1.21/1.78 % ------ Parsing...
% 1.21/1.78 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.21/1.78
% 1.21/1.78 % ------ 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 %
% 1.21/1.78
% 1.21/1.78 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.21/1.78
% 1.21/1.78 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.21/1.78 % ------ Proving...
% 1.21/1.78 % ------ Problem Properties
% 1.21/1.78
% 1.21/1.78 %
% 1.21/1.78 % clauses 72
% 1.21/1.78 % conjectures 5
% 1.21/1.78 % EPR 9
% 1.21/1.78 % Horn 59
% 1.21/1.78 % unary 7
% 1.21/1.78 % binary 23
% 1.21/1.78 % lits 225
% 1.21/1.78 % lits eq 35
% 1.21/1.78 % fd_pure 0
% 1.21/1.78 % fd_pseudo 0
% 1.21/1.78 % fd_cond 1
% 1.21/1.78 % fd_pseudo_cond 8
% 1.21/1.78 % AC symbols 0
% 1.21/1.78
% 1.21/1.78 % ------ Schedule dynamic 5 is on
% 1.21/1.78
% 1.21/1.78 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.21/1.78
% 1.21/1.78
% 1.21/1.78 % ------
% 1.21/1.78 % Current options:
% 1.21/1.78 % ------
% 1.21/1.78
% 1.21/1.78
% 1.21/1.78 %
% 1.21/1.78
% 1.21/1.78 % ------ Proving...
% 1.21/1.78 %
% 1.21/1.78
% 1.21/1.78 % SZS status Theorem for theBenchmark.p
% 1.21/1.78
% 1.21/1.78 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.21/1.78
% 1.21/1.78
%------------------------------------------------------------------------------