TSTP Solution File: RNG095+1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : RNG095+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 13:55:14 EDT 2023
% Result : Theorem 10.11s 2.15s
% Output : CNFRefutation 10.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 14
% Syntax : Number of formulae : 76 ( 8 unt; 0 def)
% Number of atoms : 366 ( 49 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 456 ( 166 ~; 159 |; 105 &)
% ( 12 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 3 con; 0-3 aty)
% Number of variables : 225 ( 0 sgn; 127 !; 52 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
aElement0(sz10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC_01) ).
fof(f22,axiom,
! [X0,X1] :
( ( aSet0(X1)
& aSet0(X0) )
=> ! [X2] :
( sdtpldt1(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4,X5] :
( sdtpldt0(X4,X5) = X3
& aElementOf0(X5,X1)
& aElementOf0(X4,X0) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',mDefIdeal) ).
fof(f28,axiom,
( aIdeal0(xJ)
& aIdeal0(xI) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1205) ).
fof(f29,axiom,
! [X0] :
( aElement0(X0)
=> aElementOf0(X0,sdtpldt1(xI,xJ)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1205_03) ).
fof(f31,conjecture,
? [X0,X1] :
( sz10 = sdtpldt0(X0,X1)
& aElementOf0(X1,xJ)
& aElementOf0(X0,xI) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f32,negated_conjecture,
~ ? [X0,X1] :
( sz10 = sdtpldt0(X0,X1)
& aElementOf0(X1,xJ)
& aElementOf0(X0,xI) ),
inference(negated_conjecture,[],[f31]) ).
fof(f36,plain,
! [X0] :
( aIdeal0(X0)
<=> ( ! [X1] :
( aElementOf0(X1,X0)
=> ( ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),X0) )
& ! [X3] :
( aElementOf0(X3,X0)
=> aElementOf0(sdtpldt0(X1,X3),X0) ) ) )
& aSet0(X0) ) ),
inference(rectify,[],[f24]) ).
fof(f62,plain,
! [X0,X1] :
( ! [X2] :
( sdtpldt1(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4,X5] :
( sdtpldt0(X4,X5) = X3
& aElementOf0(X5,X1)
& aElementOf0(X4,X0) ) )
& aSet0(X2) ) )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f63,plain,
! [X0,X1] :
( ! [X2] :
( sdtpldt1(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4,X5] :
( sdtpldt0(X4,X5) = X3
& aElementOf0(X5,X1)
& aElementOf0(X4,X0) ) )
& aSet0(X2) ) )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f62]) ).
fof(f66,plain,
! [X0] :
( aIdeal0(X0)
<=> ( ! [X1] :
( ( ! [X2] :
( aElementOf0(sdtasdt0(X2,X1),X0)
| ~ aElement0(X2) )
& ! [X3] :
( aElementOf0(sdtpldt0(X1,X3),X0)
| ~ aElementOf0(X3,X0) ) )
| ~ aElementOf0(X1,X0) )
& aSet0(X0) ) ),
inference(ennf_transformation,[],[f36]) ).
fof(f73,plain,
! [X0] :
( aElementOf0(X0,sdtpldt1(xI,xJ))
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f74,plain,
! [X0,X1] :
( sz10 != sdtpldt0(X0,X1)
| ~ aElementOf0(X1,xJ)
| ~ aElementOf0(X0,xI) ),
inference(ennf_transformation,[],[f32]) ).
fof(f75,plain,
! [X1,X0,X2] :
( sP0(X1,X0,X2)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4,X5] :
( sdtpldt0(X4,X5) = X3
& aElementOf0(X5,X1)
& aElementOf0(X4,X0) ) )
& aSet0(X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f76,plain,
! [X0,X1] :
( ! [X2] :
( sdtpldt1(X0,X1) = X2
<=> sP0(X1,X0,X2) )
| ~ sP1(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f77,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(definition_folding,[],[f63,f76,f75]) ).
fof(f81,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtpldt1(X0,X1) = X2
| ~ sP0(X1,X0,X2) )
& ( sP0(X1,X0,X2)
| sdtpldt1(X0,X1) != X2 ) )
| ~ sP1(X0,X1) ),
inference(nnf_transformation,[],[f76]) ).
fof(f82,plain,
! [X1,X0,X2] :
( ( sP0(X1,X0,X2)
| ? [X3] :
( ( ! [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) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [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) )
| ~ sP0(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f75]) ).
fof(f83,plain,
! [X1,X0,X2] :
( ( sP0(X1,X0,X2)
| ? [X3] :
( ( ! [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) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [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) )
| ~ sP0(X1,X0,X2) ) ),
inference(flattening,[],[f82]) ).
fof(f84,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ? [X3] :
( ( ! [X4,X5] :
( sdtpldt0(X4,X5) != X3
| ~ aElementOf0(X5,X0)
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(X3,X2) )
& ( ? [X6,X7] :
( sdtpldt0(X6,X7) = X3
& aElementOf0(X7,X0)
& aElementOf0(X6,X1) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X8] :
( ( aElementOf0(X8,X2)
| ! [X9,X10] :
( sdtpldt0(X9,X10) != X8
| ~ aElementOf0(X10,X0)
| ~ aElementOf0(X9,X1) ) )
& ( ? [X11,X12] :
( sdtpldt0(X11,X12) = X8
& aElementOf0(X12,X0)
& aElementOf0(X11,X1) )
| ~ aElementOf0(X8,X2) ) )
& aSet0(X2) )
| ~ sP0(X0,X1,X2) ) ),
inference(rectify,[],[f83]) ).
fof(f85,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ! [X4,X5] :
( sdtpldt0(X4,X5) != X3
| ~ aElementOf0(X5,X0)
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(X3,X2) )
& ( ? [X6,X7] :
( sdtpldt0(X6,X7) = X3
& aElementOf0(X7,X0)
& aElementOf0(X6,X1) )
| aElementOf0(X3,X2) ) )
=> ( ( ! [X5,X4] :
( sdtpldt0(X4,X5) != sK4(X0,X1,X2)
| ~ aElementOf0(X5,X0)
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(sK4(X0,X1,X2),X2) )
& ( ? [X7,X6] :
( sdtpldt0(X6,X7) = sK4(X0,X1,X2)
& aElementOf0(X7,X0)
& aElementOf0(X6,X1) )
| aElementOf0(sK4(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f86,plain,
! [X0,X1,X2] :
( ? [X7,X6] :
( sdtpldt0(X6,X7) = sK4(X0,X1,X2)
& aElementOf0(X7,X0)
& aElementOf0(X6,X1) )
=> ( sK4(X0,X1,X2) = sdtpldt0(sK5(X0,X1,X2),sK6(X0,X1,X2))
& aElementOf0(sK6(X0,X1,X2),X0)
& aElementOf0(sK5(X0,X1,X2),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f87,plain,
! [X0,X1,X8] :
( ? [X11,X12] :
( sdtpldt0(X11,X12) = X8
& aElementOf0(X12,X0)
& aElementOf0(X11,X1) )
=> ( sdtpldt0(sK7(X0,X1,X8),sK8(X0,X1,X8)) = X8
& aElementOf0(sK8(X0,X1,X8),X0)
& aElementOf0(sK7(X0,X1,X8),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f88,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ( ( ! [X4,X5] :
( sdtpldt0(X4,X5) != sK4(X0,X1,X2)
| ~ aElementOf0(X5,X0)
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(sK4(X0,X1,X2),X2) )
& ( ( sK4(X0,X1,X2) = sdtpldt0(sK5(X0,X1,X2),sK6(X0,X1,X2))
& aElementOf0(sK6(X0,X1,X2),X0)
& aElementOf0(sK5(X0,X1,X2),X1) )
| aElementOf0(sK4(X0,X1,X2),X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X8] :
( ( aElementOf0(X8,X2)
| ! [X9,X10] :
( sdtpldt0(X9,X10) != X8
| ~ aElementOf0(X10,X0)
| ~ aElementOf0(X9,X1) ) )
& ( ( sdtpldt0(sK7(X0,X1,X8),sK8(X0,X1,X8)) = X8
& aElementOf0(sK8(X0,X1,X8),X0)
& aElementOf0(sK7(X0,X1,X8),X1) )
| ~ aElementOf0(X8,X2) ) )
& aSet0(X2) )
| ~ sP0(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8])],[f84,f87,f86,f85]) ).
fof(f94,plain,
! [X0] :
( ( aIdeal0(X0)
| ? [X1] :
( ( ? [X2] :
( ~ aElementOf0(sdtasdt0(X2,X1),X0)
& aElement0(X2) )
| ? [X3] :
( ~ aElementOf0(sdtpldt0(X1,X3),X0)
& aElementOf0(X3,X0) ) )
& aElementOf0(X1,X0) )
| ~ aSet0(X0) )
& ( ( ! [X1] :
( ( ! [X2] :
( aElementOf0(sdtasdt0(X2,X1),X0)
| ~ aElement0(X2) )
& ! [X3] :
( aElementOf0(sdtpldt0(X1,X3),X0)
| ~ aElementOf0(X3,X0) ) )
| ~ aElementOf0(X1,X0) )
& aSet0(X0) )
| ~ aIdeal0(X0) ) ),
inference(nnf_transformation,[],[f66]) ).
fof(f95,plain,
! [X0] :
( ( aIdeal0(X0)
| ? [X1] :
( ( ? [X2] :
( ~ aElementOf0(sdtasdt0(X2,X1),X0)
& aElement0(X2) )
| ? [X3] :
( ~ aElementOf0(sdtpldt0(X1,X3),X0)
& aElementOf0(X3,X0) ) )
& aElementOf0(X1,X0) )
| ~ aSet0(X0) )
& ( ( ! [X1] :
( ( ! [X2] :
( aElementOf0(sdtasdt0(X2,X1),X0)
| ~ aElement0(X2) )
& ! [X3] :
( aElementOf0(sdtpldt0(X1,X3),X0)
| ~ aElementOf0(X3,X0) ) )
| ~ aElementOf0(X1,X0) )
& aSet0(X0) )
| ~ aIdeal0(X0) ) ),
inference(flattening,[],[f94]) ).
fof(f96,plain,
! [X0] :
( ( aIdeal0(X0)
| ? [X1] :
( ( ? [X2] :
( ~ aElementOf0(sdtasdt0(X2,X1),X0)
& aElement0(X2) )
| ? [X3] :
( ~ aElementOf0(sdtpldt0(X1,X3),X0)
& aElementOf0(X3,X0) ) )
& aElementOf0(X1,X0) )
| ~ aSet0(X0) )
& ( ( ! [X4] :
( ( ! [X5] :
( aElementOf0(sdtasdt0(X5,X4),X0)
| ~ aElement0(X5) )
& ! [X6] :
( aElementOf0(sdtpldt0(X4,X6),X0)
| ~ aElementOf0(X6,X0) ) )
| ~ aElementOf0(X4,X0) )
& aSet0(X0) )
| ~ aIdeal0(X0) ) ),
inference(rectify,[],[f95]) ).
fof(f97,plain,
! [X0] :
( ? [X1] :
( ( ? [X2] :
( ~ aElementOf0(sdtasdt0(X2,X1),X0)
& aElement0(X2) )
| ? [X3] :
( ~ aElementOf0(sdtpldt0(X1,X3),X0)
& aElementOf0(X3,X0) ) )
& aElementOf0(X1,X0) )
=> ( ( ? [X2] :
( ~ aElementOf0(sdtasdt0(X2,sK10(X0)),X0)
& aElement0(X2) )
| ? [X3] :
( ~ aElementOf0(sdtpldt0(sK10(X0),X3),X0)
& aElementOf0(X3,X0) ) )
& aElementOf0(sK10(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f98,plain,
! [X0] :
( ? [X2] :
( ~ aElementOf0(sdtasdt0(X2,sK10(X0)),X0)
& aElement0(X2) )
=> ( ~ aElementOf0(sdtasdt0(sK11(X0),sK10(X0)),X0)
& aElement0(sK11(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f99,plain,
! [X0] :
( ? [X3] :
( ~ aElementOf0(sdtpldt0(sK10(X0),X3),X0)
& aElementOf0(X3,X0) )
=> ( ~ aElementOf0(sdtpldt0(sK10(X0),sK12(X0)),X0)
& aElementOf0(sK12(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f100,plain,
! [X0] :
( ( aIdeal0(X0)
| ( ( ( ~ aElementOf0(sdtasdt0(sK11(X0),sK10(X0)),X0)
& aElement0(sK11(X0)) )
| ( ~ aElementOf0(sdtpldt0(sK10(X0),sK12(X0)),X0)
& aElementOf0(sK12(X0),X0) ) )
& aElementOf0(sK10(X0),X0) )
| ~ aSet0(X0) )
& ( ( ! [X4] :
( ( ! [X5] :
( aElementOf0(sdtasdt0(X5,X4),X0)
| ~ aElement0(X5) )
& ! [X6] :
( aElementOf0(sdtpldt0(X4,X6),X0)
| ~ aElementOf0(X6,X0) ) )
| ~ aElementOf0(X4,X0) )
& aSet0(X0) )
| ~ aIdeal0(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12])],[f96,f99,f98,f97]) ).
fof(f103,plain,
aElement0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f130,plain,
! [X2,X0,X1] :
( sP0(X1,X0,X2)
| sdtpldt1(X0,X1) != X2
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f81]) ).
fof(f133,plain,
! [X2,X0,X1,X8] :
( aElementOf0(sK7(X0,X1,X8),X1)
| ~ aElementOf0(X8,X2)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f88]) ).
fof(f134,plain,
! [X2,X0,X1,X8] :
( aElementOf0(sK8(X0,X1,X8),X0)
| ~ aElementOf0(X8,X2)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f88]) ).
fof(f135,plain,
! [X2,X0,X1,X8] :
( sdtpldt0(sK7(X0,X1,X8),sK8(X0,X1,X8)) = X8
| ~ aElementOf0(X8,X2)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f88]) ).
fof(f141,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f149,plain,
! [X0] :
( aSet0(X0)
| ~ aIdeal0(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f161,plain,
aIdeal0(xI),
inference(cnf_transformation,[],[f28]) ).
fof(f162,plain,
aIdeal0(xJ),
inference(cnf_transformation,[],[f28]) ).
fof(f163,plain,
! [X0] :
( aElementOf0(X0,sdtpldt1(xI,xJ))
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f166,plain,
! [X0,X1] :
( sz10 != sdtpldt0(X0,X1)
| ~ aElementOf0(X1,xJ)
| ~ aElementOf0(X0,xI) ),
inference(cnf_transformation,[],[f74]) ).
fof(f167,plain,
! [X0,X1] :
( sP0(X1,X0,sdtpldt1(X0,X1))
| ~ sP1(X0,X1) ),
inference(equality_resolution,[],[f130]) ).
cnf(c_50,plain,
aElement0(sz10),
inference(cnf_transformation,[],[f103]) ).
cnf(c_78,plain,
( ~ sP1(X0,X1)
| sP0(X1,X0,sdtpldt1(X0,X1)) ),
inference(cnf_transformation,[],[f167]) ).
cnf(c_84,plain,
( ~ sP0(X0,X1,X2)
| ~ aElementOf0(X3,X2)
| sdtpldt0(sK7(X0,X1,X3),sK8(X0,X1,X3)) = X3 ),
inference(cnf_transformation,[],[f135]) ).
cnf(c_85,plain,
( ~ sP0(X0,X1,X2)
| ~ aElementOf0(X3,X2)
| aElementOf0(sK8(X0,X1,X3),X0) ),
inference(cnf_transformation,[],[f134]) ).
cnf(c_86,plain,
( ~ sP0(X0,X1,X2)
| ~ aElementOf0(X3,X2)
| aElementOf0(sK7(X0,X1,X3),X1) ),
inference(cnf_transformation,[],[f133]) ).
cnf(c_88,plain,
( ~ aSet0(X0)
| ~ aSet0(X1)
| sP1(X0,X1) ),
inference(cnf_transformation,[],[f141]) ).
cnf(c_103,plain,
( ~ aIdeal0(X0)
| aSet0(X0) ),
inference(cnf_transformation,[],[f149]) ).
cnf(c_108,plain,
aIdeal0(xJ),
inference(cnf_transformation,[],[f162]) ).
cnf(c_109,plain,
aIdeal0(xI),
inference(cnf_transformation,[],[f161]) ).
cnf(c_110,plain,
( ~ aElement0(X0)
| aElementOf0(X0,sdtpldt1(xI,xJ)) ),
inference(cnf_transformation,[],[f163]) ).
cnf(c_113,negated_conjecture,
( sdtpldt0(X0,X1) != sz10
| ~ aElementOf0(X0,xI)
| ~ aElementOf0(X1,xJ) ),
inference(cnf_transformation,[],[f166]) ).
cnf(c_601,plain,
( X0 != X1
| X2 != X3
| ~ aSet0(X0)
| ~ aSet0(X2)
| sP0(X3,X1,sdtpldt1(X1,X3)) ),
inference(resolution_lifted,[status(thm)],[c_88,c_78]) ).
cnf(c_602,plain,
( ~ aSet0(X0)
| ~ aSet0(X1)
| sP0(X1,X0,sdtpldt1(X0,X1)) ),
inference(unflattening,[status(thm)],[c_601]) ).
cnf(c_3316,plain,
( ~ aElement0(sz10)
| aElementOf0(sz10,sdtpldt1(xI,xJ)) ),
inference(instantiation,[status(thm)],[c_110]) ).
cnf(c_3370,plain,
( ~ aIdeal0(xJ)
| aSet0(xJ) ),
inference(instantiation,[status(thm)],[c_103]) ).
cnf(c_3388,plain,
( ~ aIdeal0(xI)
| aSet0(xI) ),
inference(instantiation,[status(thm)],[c_103]) ).
cnf(c_4110,plain,
( ~ sP0(X0,X1,sdtpldt1(xI,xJ))
| ~ aElementOf0(sz10,sdtpldt1(xI,xJ))
| sdtpldt0(sK7(X0,X1,sz10),sK8(X0,X1,sz10)) = sz10 ),
inference(instantiation,[status(thm)],[c_84]) ).
cnf(c_4111,plain,
( ~ sP0(X0,X1,sdtpldt1(xI,xJ))
| ~ aElementOf0(sz10,sdtpldt1(xI,xJ))
| aElementOf0(sK8(X0,X1,sz10),X0) ),
inference(instantiation,[status(thm)],[c_85]) ).
cnf(c_4112,plain,
( ~ sP0(X0,X1,sdtpldt1(xI,xJ))
| ~ aElementOf0(sz10,sdtpldt1(xI,xJ))
| aElementOf0(sK7(X0,X1,sz10),X1) ),
inference(instantiation,[status(thm)],[c_86]) ).
cnf(c_5374,plain,
( ~ aSet0(X0)
| ~ aSet0(xI)
| sP0(X0,xI,sdtpldt1(xI,X0)) ),
inference(instantiation,[status(thm)],[c_602]) ).
cnf(c_5382,plain,
( ~ aSet0(X0)
| sP0(X0,xI,sdtpldt1(xI,X0)) ),
inference(global_subsumption_just,[status(thm)],[c_5374,c_109,c_3388,c_5374]) ).
cnf(c_6118,plain,
( ~ aSet0(xJ)
| sP0(xJ,xI,sdtpldt1(xI,xJ)) ),
inference(instantiation,[status(thm)],[c_5382]) ).
cnf(c_6684,plain,
( ~ sP0(X0,X1,sdtpldt1(xI,xJ))
| ~ aElementOf0(sz10,sdtpldt1(xI,xJ))
| sdtpldt0(sK7(X0,X1,sz10),sK8(X0,X1,sz10)) = sz10 ),
inference(instantiation,[status(thm)],[c_84]) ).
cnf(c_6685,plain,
( ~ sP0(X0,X1,sdtpldt1(xI,xJ))
| ~ aElementOf0(sz10,sdtpldt1(xI,xJ))
| aElementOf0(sK8(X0,X1,sz10),X0) ),
inference(instantiation,[status(thm)],[c_85]) ).
cnf(c_6686,plain,
( ~ sP0(X0,X1,sdtpldt1(xI,xJ))
| ~ aElementOf0(sz10,sdtpldt1(xI,xJ))
| aElementOf0(sK7(X0,X1,sz10),X1) ),
inference(instantiation,[status(thm)],[c_86]) ).
cnf(c_6687,plain,
( ~ sP0(X0,X1,sdtpldt1(xI,xJ))
| aElementOf0(sK7(X0,X1,sz10),X1) ),
inference(global_subsumption_just,[status(thm)],[c_6686,c_50,c_3316,c_4112]) ).
cnf(c_6689,plain,
( ~ sP0(X0,X1,sdtpldt1(xI,xJ))
| aElementOf0(sK8(X0,X1,sz10),X0) ),
inference(global_subsumption_just,[status(thm)],[c_6685,c_50,c_3316,c_4111]) ).
cnf(c_6691,plain,
( ~ sP0(X0,X1,sdtpldt1(xI,xJ))
| sdtpldt0(sK7(X0,X1,sz10),sK8(X0,X1,sz10)) = sz10 ),
inference(global_subsumption_just,[status(thm)],[c_6684,c_50,c_3316,c_4110]) ).
cnf(c_10148,plain,
( ~ sP0(xJ,xI,sdtpldt1(xI,xJ))
| sdtpldt0(sK7(xJ,xI,sz10),sK8(xJ,xI,sz10)) = sz10 ),
inference(instantiation,[status(thm)],[c_6691]) ).
cnf(c_10149,plain,
( ~ sP0(xJ,xI,sdtpldt1(xI,xJ))
| aElementOf0(sK8(xJ,xI,sz10),xJ) ),
inference(instantiation,[status(thm)],[c_6689]) ).
cnf(c_10150,plain,
( ~ sP0(xJ,xI,sdtpldt1(xI,xJ))
| aElementOf0(sK7(xJ,xI,sz10),xI) ),
inference(instantiation,[status(thm)],[c_6687]) ).
cnf(c_20583,plain,
( sdtpldt0(sK7(xJ,xI,sz10),sK8(xJ,xI,sz10)) != sz10
| ~ aElementOf0(sK7(xJ,xI,sz10),xI)
| ~ aElementOf0(sK8(xJ,xI,sz10),xJ) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_20584,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_20583,c_10148,c_10149,c_10150,c_6118,c_3370,c_108]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : RNG095+1 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.13 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n009.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun Aug 27 02:16:05 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.46 Running first-order theorem proving
% 0.20/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 10.11/2.15 % SZS status Started for theBenchmark.p
% 10.11/2.15 % SZS status Theorem for theBenchmark.p
% 10.11/2.15
% 10.11/2.15 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 10.11/2.15
% 10.11/2.15 ------ iProver source info
% 10.11/2.15
% 10.11/2.15 git: date: 2023-05-31 18:12:56 +0000
% 10.11/2.15 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 10.11/2.15 git: non_committed_changes: false
% 10.11/2.15 git: last_make_outside_of_git: false
% 10.11/2.15
% 10.11/2.15 ------ Parsing...
% 10.11/2.15 ------ Clausification by vclausify_rel & Parsing by iProver...
% 10.11/2.15
% 10.11/2.15 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 10.11/2.15
% 10.11/2.15 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 10.11/2.15
% 10.11/2.15 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 10.11/2.15 ------ Proving...
% 10.11/2.15 ------ Problem Properties
% 10.11/2.15
% 10.11/2.15
% 10.11/2.15 clauses 62
% 10.11/2.15 conjectures 1
% 10.11/2.15 EPR 10
% 10.11/2.15 Horn 49
% 10.11/2.15 unary 7
% 10.11/2.15 binary 14
% 10.11/2.15 lits 200
% 10.11/2.15 lits eq 32
% 10.11/2.15 fd_pure 0
% 10.11/2.15 fd_pseudo 0
% 10.11/2.15 fd_cond 1
% 10.11/2.15 fd_pseudo_cond 8
% 10.11/2.15 AC symbols 0
% 10.11/2.15
% 10.11/2.15 ------ Input Options Time Limit: Unbounded
% 10.11/2.15
% 10.11/2.15
% 10.11/2.15 ------
% 10.11/2.15 Current options:
% 10.11/2.15 ------
% 10.11/2.15
% 10.11/2.15
% 10.11/2.15
% 10.11/2.15
% 10.11/2.15 ------ Proving...
% 10.11/2.15
% 10.11/2.15
% 10.11/2.15 % SZS status Theorem for theBenchmark.p
% 10.11/2.15
% 10.11/2.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.11/2.15
% 10.11/2.15
%------------------------------------------------------------------------------