TSTP Solution File: RNG106+1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : RNG106+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 13:55:19 EDT 2023
% Result : Theorem 4.01s 1.14s
% Output : CNFRefutation 4.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 12
% Syntax : Number of formulae : 74 ( 6 unt; 0 def)
% Number of atoms : 429 ( 71 equ)
% Maximal formula atoms : 17 ( 5 avg)
% Number of connectives : 531 ( 176 ~; 187 |; 142 &)
% ( 7 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 5 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 1 con; 0-3 aty)
% Number of variables : 176 ( 4 sgn; 100 !; 44 ?)
% Comments :
%------------------------------------------------------------------------------
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(f37,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( slsdtgt0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) ) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefPrIdeal) ).
fof(f38,axiom,
aElement0(xc),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1905) ).
fof(f39,conjecture,
( ! [X0,X1,X2] :
( ( aElement0(X2)
& aElementOf0(X1,slsdtgt0(xc))
& aElementOf0(X0,slsdtgt0(xc)) )
=> ? [X3] :
( ? [X4] :
( aElementOf0(sdtasdt0(X2,X0),slsdtgt0(xc))
& aElementOf0(sdtpldt0(X0,X1),slsdtgt0(xc))
& sdtasdt0(X2,X0) = sdtasdt0(xc,sdtasdt0(X3,X2))
& sdtpldt0(X0,X1) = sdtasdt0(xc,sdtpldt0(X3,X4))
& sdtasdt0(xc,X4) = X1
& aElement0(X4) )
& sdtasdt0(xc,X3) = X0
& aElement0(X3) ) )
=> aIdeal0(slsdtgt0(xc)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f40,negated_conjecture,
~ ( ! [X0,X1,X2] :
( ( aElement0(X2)
& aElementOf0(X1,slsdtgt0(xc))
& aElementOf0(X0,slsdtgt0(xc)) )
=> ? [X3] :
( ? [X4] :
( aElementOf0(sdtasdt0(X2,X0),slsdtgt0(xc))
& aElementOf0(sdtpldt0(X0,X1),slsdtgt0(xc))
& sdtasdt0(X2,X0) = sdtasdt0(xc,sdtasdt0(X3,X2))
& sdtpldt0(X0,X1) = sdtasdt0(xc,sdtpldt0(X3,X4))
& sdtasdt0(xc,X4) = X1
& aElement0(X4) )
& sdtasdt0(xc,X3) = X0
& aElement0(X3) ) )
=> aIdeal0(slsdtgt0(xc)) ),
inference(negated_conjecture,[],[f39]) ).
fof(f44,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(f79,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,[],[f44]) ).
fof(f97,plain,
! [X0] :
( ! [X1] :
( slsdtgt0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) ) )
& aSet0(X1) ) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f98,plain,
( ~ aIdeal0(slsdtgt0(xc))
& ! [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( aElementOf0(sdtasdt0(X2,X0),slsdtgt0(xc))
& aElementOf0(sdtpldt0(X0,X1),slsdtgt0(xc))
& sdtasdt0(X2,X0) = sdtasdt0(xc,sdtasdt0(X3,X2))
& sdtpldt0(X0,X1) = sdtasdt0(xc,sdtpldt0(X3,X4))
& sdtasdt0(xc,X4) = X1
& aElement0(X4) )
& sdtasdt0(xc,X3) = X0
& aElement0(X3) )
| ~ aElement0(X2)
| ~ aElementOf0(X1,slsdtgt0(xc))
| ~ aElementOf0(X0,slsdtgt0(xc)) ) ),
inference(ennf_transformation,[],[f40]) ).
fof(f99,plain,
( ~ aIdeal0(slsdtgt0(xc))
& ! [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( aElementOf0(sdtasdt0(X2,X0),slsdtgt0(xc))
& aElementOf0(sdtpldt0(X0,X1),slsdtgt0(xc))
& sdtasdt0(X2,X0) = sdtasdt0(xc,sdtasdt0(X3,X2))
& sdtpldt0(X0,X1) = sdtasdt0(xc,sdtpldt0(X3,X4))
& sdtasdt0(xc,X4) = X1
& aElement0(X4) )
& sdtasdt0(xc,X3) = X0
& aElement0(X3) )
| ~ aElement0(X2)
| ~ aElementOf0(X1,slsdtgt0(xc))
| ~ aElementOf0(X0,slsdtgt0(xc)) ) ),
inference(flattening,[],[f98]) ).
fof(f119,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,[],[f79]) ).
fof(f120,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,[],[f119]) ).
fof(f121,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,[],[f120]) ).
fof(f122,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(f123,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(f124,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(f125,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])],[f121,f124,f123,f122]) ).
fof(f145,plain,
! [X0] :
( ! [X1] :
( ( slsdtgt0(X0) = X1
| ? [X2] :
( ( ! [X3] :
( sdtasdt0(X0,X3) != X2
| ~ aElement0(X3) )
| ~ aElementOf0(X2,X1) )
& ( ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( ( aElementOf0(X2,X1)
| ! [X3] :
( sdtasdt0(X0,X3) != X2
| ~ aElement0(X3) ) )
& ( ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) )
| ~ aElementOf0(X2,X1) ) )
& aSet0(X1) )
| slsdtgt0(X0) != X1 ) )
| ~ aElement0(X0) ),
inference(nnf_transformation,[],[f97]) ).
fof(f146,plain,
! [X0] :
( ! [X1] :
( ( slsdtgt0(X0) = X1
| ? [X2] :
( ( ! [X3] :
( sdtasdt0(X0,X3) != X2
| ~ aElement0(X3) )
| ~ aElementOf0(X2,X1) )
& ( ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( ( aElementOf0(X2,X1)
| ! [X3] :
( sdtasdt0(X0,X3) != X2
| ~ aElement0(X3) ) )
& ( ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) )
| ~ aElementOf0(X2,X1) ) )
& aSet0(X1) )
| slsdtgt0(X0) != X1 ) )
| ~ aElement0(X0) ),
inference(flattening,[],[f145]) ).
fof(f147,plain,
! [X0] :
( ! [X1] :
( ( slsdtgt0(X0) = X1
| ? [X2] :
( ( ! [X3] :
( sdtasdt0(X0,X3) != X2
| ~ aElement0(X3) )
| ~ aElementOf0(X2,X1) )
& ( ? [X4] :
( sdtasdt0(X0,X4) = X2
& aElement0(X4) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X5] :
( ( aElementOf0(X5,X1)
| ! [X6] :
( sdtasdt0(X0,X6) != X5
| ~ aElement0(X6) ) )
& ( ? [X7] :
( sdtasdt0(X0,X7) = X5
& aElement0(X7) )
| ~ aElementOf0(X5,X1) ) )
& aSet0(X1) )
| slsdtgt0(X0) != X1 ) )
| ~ aElement0(X0) ),
inference(rectify,[],[f146]) ).
fof(f148,plain,
! [X0,X1] :
( ? [X2] :
( ( ! [X3] :
( sdtasdt0(X0,X3) != X2
| ~ aElement0(X3) )
| ~ aElementOf0(X2,X1) )
& ( ? [X4] :
( sdtasdt0(X0,X4) = X2
& aElement0(X4) )
| aElementOf0(X2,X1) ) )
=> ( ( ! [X3] :
( sdtasdt0(X0,X3) != sK19(X0,X1)
| ~ aElement0(X3) )
| ~ aElementOf0(sK19(X0,X1),X1) )
& ( ? [X4] :
( sdtasdt0(X0,X4) = sK19(X0,X1)
& aElement0(X4) )
| aElementOf0(sK19(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f149,plain,
! [X0,X1] :
( ? [X4] :
( sdtasdt0(X0,X4) = sK19(X0,X1)
& aElement0(X4) )
=> ( sK19(X0,X1) = sdtasdt0(X0,sK20(X0,X1))
& aElement0(sK20(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f150,plain,
! [X0,X5] :
( ? [X7] :
( sdtasdt0(X0,X7) = X5
& aElement0(X7) )
=> ( sdtasdt0(X0,sK21(X0,X5)) = X5
& aElement0(sK21(X0,X5)) ) ),
introduced(choice_axiom,[]) ).
fof(f151,plain,
! [X0] :
( ! [X1] :
( ( slsdtgt0(X0) = X1
| ( ( ! [X3] :
( sdtasdt0(X0,X3) != sK19(X0,X1)
| ~ aElement0(X3) )
| ~ aElementOf0(sK19(X0,X1),X1) )
& ( ( sK19(X0,X1) = sdtasdt0(X0,sK20(X0,X1))
& aElement0(sK20(X0,X1)) )
| aElementOf0(sK19(X0,X1),X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X5] :
( ( aElementOf0(X5,X1)
| ! [X6] :
( sdtasdt0(X0,X6) != X5
| ~ aElement0(X6) ) )
& ( ( sdtasdt0(X0,sK21(X0,X5)) = X5
& aElement0(sK21(X0,X5)) )
| ~ aElementOf0(X5,X1) ) )
& aSet0(X1) )
| slsdtgt0(X0) != X1 ) )
| ~ aElement0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19,sK20,sK21])],[f147,f150,f149,f148]) ).
fof(f152,plain,
! [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( aElementOf0(sdtasdt0(X2,X0),slsdtgt0(xc))
& aElementOf0(sdtpldt0(X0,X1),slsdtgt0(xc))
& sdtasdt0(X2,X0) = sdtasdt0(xc,sdtasdt0(X3,X2))
& sdtpldt0(X0,X1) = sdtasdt0(xc,sdtpldt0(X3,X4))
& sdtasdt0(xc,X4) = X1
& aElement0(X4) )
& sdtasdt0(xc,X3) = X0
& aElement0(X3) )
=> ( ? [X4] :
( aElementOf0(sdtasdt0(X2,X0),slsdtgt0(xc))
& aElementOf0(sdtpldt0(X0,X1),slsdtgt0(xc))
& sdtasdt0(X2,X0) = sdtasdt0(xc,sdtasdt0(sK22(X0,X1,X2),X2))
& sdtpldt0(X0,X1) = sdtasdt0(xc,sdtpldt0(sK22(X0,X1,X2),X4))
& sdtasdt0(xc,X4) = X1
& aElement0(X4) )
& sdtasdt0(xc,sK22(X0,X1,X2)) = X0
& aElement0(sK22(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f153,plain,
! [X0,X1,X2] :
( ? [X4] :
( aElementOf0(sdtasdt0(X2,X0),slsdtgt0(xc))
& aElementOf0(sdtpldt0(X0,X1),slsdtgt0(xc))
& sdtasdt0(X2,X0) = sdtasdt0(xc,sdtasdt0(sK22(X0,X1,X2),X2))
& sdtpldt0(X0,X1) = sdtasdt0(xc,sdtpldt0(sK22(X0,X1,X2),X4))
& sdtasdt0(xc,X4) = X1
& aElement0(X4) )
=> ( aElementOf0(sdtasdt0(X2,X0),slsdtgt0(xc))
& aElementOf0(sdtpldt0(X0,X1),slsdtgt0(xc))
& sdtasdt0(X2,X0) = sdtasdt0(xc,sdtasdt0(sK22(X0,X1,X2),X2))
& sdtpldt0(X0,X1) = sdtasdt0(xc,sdtpldt0(sK22(X0,X1,X2),sK23(X0,X1,X2)))
& sdtasdt0(xc,sK23(X0,X1,X2)) = X1
& aElement0(sK23(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f154,plain,
( ~ aIdeal0(slsdtgt0(xc))
& ! [X0,X1,X2] :
( ( aElementOf0(sdtasdt0(X2,X0),slsdtgt0(xc))
& aElementOf0(sdtpldt0(X0,X1),slsdtgt0(xc))
& sdtasdt0(X2,X0) = sdtasdt0(xc,sdtasdt0(sK22(X0,X1,X2),X2))
& sdtpldt0(X0,X1) = sdtasdt0(xc,sdtpldt0(sK22(X0,X1,X2),sK23(X0,X1,X2)))
& sdtasdt0(xc,sK23(X0,X1,X2)) = X1
& aElement0(sK23(X0,X1,X2))
& sdtasdt0(xc,sK22(X0,X1,X2)) = X0
& aElement0(sK22(X0,X1,X2)) )
| ~ aElement0(X2)
| ~ aElementOf0(X1,slsdtgt0(xc))
| ~ aElementOf0(X0,slsdtgt0(xc)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22,sK23])],[f99,f153,f152]) ).
fof(f205,plain,
! [X0] :
( aIdeal0(X0)
| aElementOf0(sK10(X0),X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f206,plain,
! [X0] :
( aIdeal0(X0)
| aElement0(sK11(X0))
| aElementOf0(sK12(X0),X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f207,plain,
! [X0] :
( aIdeal0(X0)
| aElement0(sK11(X0))
| ~ aElementOf0(sdtpldt0(sK10(X0),sK12(X0)),X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f208,plain,
! [X0] :
( aIdeal0(X0)
| ~ aElementOf0(sdtasdt0(sK11(X0),sK10(X0)),X0)
| aElementOf0(sK12(X0),X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f209,plain,
! [X0] :
( aIdeal0(X0)
| ~ aElementOf0(sdtasdt0(sK11(X0),sK10(X0)),X0)
| ~ aElementOf0(sdtpldt0(sK10(X0),sK12(X0)),X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f237,plain,
! [X0,X1] :
( aSet0(X1)
| slsdtgt0(X0) != X1
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f151]) ).
fof(f244,plain,
aElement0(xc),
inference(cnf_transformation,[],[f38]) ).
fof(f251,plain,
! [X2,X0,X1] :
( aElementOf0(sdtpldt0(X0,X1),slsdtgt0(xc))
| ~ aElement0(X2)
| ~ aElementOf0(X1,slsdtgt0(xc))
| ~ aElementOf0(X0,slsdtgt0(xc)) ),
inference(cnf_transformation,[],[f154]) ).
fof(f252,plain,
! [X2,X0,X1] :
( aElementOf0(sdtasdt0(X2,X0),slsdtgt0(xc))
| ~ aElement0(X2)
| ~ aElementOf0(X1,slsdtgt0(xc))
| ~ aElementOf0(X0,slsdtgt0(xc)) ),
inference(cnf_transformation,[],[f154]) ).
fof(f253,plain,
~ aIdeal0(slsdtgt0(xc)),
inference(cnf_transformation,[],[f154]) ).
fof(f265,plain,
! [X0] :
( aSet0(slsdtgt0(X0))
| ~ aElement0(X0) ),
inference(equality_resolution,[],[f237]) ).
cnf(c_96,plain,
( ~ aElementOf0(sdtpldt0(sK10(X0),sK12(X0)),X0)
| ~ aElementOf0(sdtasdt0(sK11(X0),sK10(X0)),X0)
| ~ aSet0(X0)
| aIdeal0(X0) ),
inference(cnf_transformation,[],[f209]) ).
cnf(c_97,plain,
( ~ aElementOf0(sdtasdt0(sK11(X0),sK10(X0)),X0)
| ~ aSet0(X0)
| aElementOf0(sK12(X0),X0)
| aIdeal0(X0) ),
inference(cnf_transformation,[],[f208]) ).
cnf(c_98,plain,
( ~ aElementOf0(sdtpldt0(sK10(X0),sK12(X0)),X0)
| ~ aSet0(X0)
| aElement0(sK11(X0))
| aIdeal0(X0) ),
inference(cnf_transformation,[],[f207]) ).
cnf(c_99,plain,
( ~ aSet0(X0)
| aElementOf0(sK12(X0),X0)
| aElement0(sK11(X0))
| aIdeal0(X0) ),
inference(cnf_transformation,[],[f206]) ).
cnf(c_100,plain,
( ~ aSet0(X0)
| aElementOf0(sK10(X0),X0)
| aIdeal0(X0) ),
inference(cnf_transformation,[],[f205]) ).
cnf(c_137,plain,
( ~ aElement0(X0)
| aSet0(slsdtgt0(X0)) ),
inference(cnf_transformation,[],[f265]) ).
cnf(c_138,plain,
aElement0(xc),
inference(cnf_transformation,[],[f244]) ).
cnf(c_139,negated_conjecture,
~ aIdeal0(slsdtgt0(xc)),
inference(cnf_transformation,[],[f253]) ).
cnf(c_140,negated_conjecture,
( ~ aElementOf0(X0,slsdtgt0(xc))
| ~ aElementOf0(X1,slsdtgt0(xc))
| ~ aElement0(X2)
| aElementOf0(sdtasdt0(X2,X0),slsdtgt0(xc)) ),
inference(cnf_transformation,[],[f252]) ).
cnf(c_141,negated_conjecture,
( ~ aElementOf0(X0,slsdtgt0(xc))
| ~ aElementOf0(X1,slsdtgt0(xc))
| ~ aElement0(X2)
| aElementOf0(sdtpldt0(X0,X1),slsdtgt0(xc)) ),
inference(cnf_transformation,[],[f251]) ).
cnf(c_149,plain,
( ~ aElement0(xc)
| aSet0(slsdtgt0(xc)) ),
inference(instantiation,[status(thm)],[c_137]) ).
cnf(c_5337,negated_conjecture,
( ~ aElement0(X0)
| ~ sP0_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_141]) ).
cnf(c_5338,negated_conjecture,
( ~ aElementOf0(X0,slsdtgt0(xc))
| ~ aElementOf0(X1,slsdtgt0(xc))
| aElementOf0(sdtpldt0(X1,X0),slsdtgt0(xc))
| ~ sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_141]) ).
cnf(c_5339,negated_conjecture,
( sP0_iProver_split
| sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_141]) ).
cnf(c_5340,negated_conjecture,
( ~ aElementOf0(X0,slsdtgt0(xc))
| ~ sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_140]) ).
cnf(c_5341,negated_conjecture,
( ~ aElementOf0(X0,slsdtgt0(xc))
| aElementOf0(sdtasdt0(X1,X0),slsdtgt0(xc))
| ~ aElement0(X1)
| ~ sP3_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_split])],[c_140]) ).
cnf(c_5342,negated_conjecture,
( sP2_iProver_split
| sP3_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_140]) ).
cnf(c_5363,plain,
( ~ aElement0(xc)
| ~ sP0_iProver_split ),
inference(instantiation,[status(thm)],[c_5337]) ).
cnf(c_5368,plain,
( aElementOf0(sdtpldt0(X1,X0),slsdtgt0(xc))
| ~ aElementOf0(X1,slsdtgt0(xc))
| ~ aElementOf0(X0,slsdtgt0(xc)) ),
inference(global_subsumption_just,[status(thm)],[c_5338,c_138,c_5363,c_5338,c_5339]) ).
cnf(c_5369,negated_conjecture,
( ~ aElementOf0(X0,slsdtgt0(xc))
| ~ aElementOf0(X1,slsdtgt0(xc))
| aElementOf0(sdtpldt0(X1,X0),slsdtgt0(xc)) ),
inference(renaming,[status(thm)],[c_5368]) ).
cnf(c_5373,plain,
( ~ aElement0(X1)
| aElementOf0(sdtasdt0(X1,X0),slsdtgt0(xc))
| ~ aElementOf0(X0,slsdtgt0(xc)) ),
inference(global_subsumption_just,[status(thm)],[c_5341,c_5340,c_5341,c_5342]) ).
cnf(c_5374,negated_conjecture,
( ~ aElementOf0(X0,slsdtgt0(xc))
| ~ aElement0(X1)
| aElementOf0(sdtasdt0(X1,X0),slsdtgt0(xc)) ),
inference(renaming,[status(thm)],[c_5373]) ).
cnf(c_7765,plain,
( ~ aSet0(slsdtgt0(X0))
| aElementOf0(sK10(slsdtgt0(X0)),slsdtgt0(X0))
| aIdeal0(slsdtgt0(X0)) ),
inference(instantiation,[status(thm)],[c_100]) ).
cnf(c_7766,plain,
( ~ aSet0(slsdtgt0(xc))
| aElementOf0(sK10(slsdtgt0(xc)),slsdtgt0(xc))
| aIdeal0(slsdtgt0(xc)) ),
inference(instantiation,[status(thm)],[c_7765]) ).
cnf(c_7769,plain,
( ~ aSet0(slsdtgt0(X0))
| aElementOf0(sK12(slsdtgt0(X0)),slsdtgt0(X0))
| aElement0(sK11(slsdtgt0(X0)))
| aIdeal0(slsdtgt0(X0)) ),
inference(instantiation,[status(thm)],[c_99]) ).
cnf(c_7770,plain,
( ~ aSet0(slsdtgt0(xc))
| aElementOf0(sK12(slsdtgt0(xc)),slsdtgt0(xc))
| aElement0(sK11(slsdtgt0(xc)))
| aIdeal0(slsdtgt0(xc)) ),
inference(instantiation,[status(thm)],[c_7769]) ).
cnf(c_7810,plain,
( ~ aElementOf0(sdtpldt0(sK10(slsdtgt0(X0)),sK12(slsdtgt0(X0))),slsdtgt0(X0))
| ~ aSet0(slsdtgt0(X0))
| aElement0(sK11(slsdtgt0(X0)))
| aIdeal0(slsdtgt0(X0)) ),
inference(instantiation,[status(thm)],[c_98]) ).
cnf(c_7811,plain,
( ~ aElementOf0(sdtpldt0(sK10(slsdtgt0(xc)),sK12(slsdtgt0(xc))),slsdtgt0(xc))
| ~ aSet0(slsdtgt0(xc))
| aElement0(sK11(slsdtgt0(xc)))
| aIdeal0(slsdtgt0(xc)) ),
inference(instantiation,[status(thm)],[c_7810]) ).
cnf(c_7904,plain,
( ~ aElementOf0(sdtasdt0(sK11(slsdtgt0(X0)),sK10(slsdtgt0(X0))),slsdtgt0(X0))
| ~ aSet0(slsdtgt0(X0))
| aElementOf0(sK12(slsdtgt0(X0)),slsdtgt0(X0))
| aIdeal0(slsdtgt0(X0)) ),
inference(instantiation,[status(thm)],[c_97]) ).
cnf(c_7905,plain,
( ~ aElementOf0(sdtasdt0(sK11(slsdtgt0(xc)),sK10(slsdtgt0(xc))),slsdtgt0(xc))
| ~ aSet0(slsdtgt0(xc))
| aElementOf0(sK12(slsdtgt0(xc)),slsdtgt0(xc))
| aIdeal0(slsdtgt0(xc)) ),
inference(instantiation,[status(thm)],[c_7904]) ).
cnf(c_7918,plain,
( ~ aElementOf0(sdtpldt0(sK10(slsdtgt0(X0)),sK12(slsdtgt0(X0))),slsdtgt0(X0))
| ~ aElementOf0(sdtasdt0(sK11(slsdtgt0(X0)),sK10(slsdtgt0(X0))),slsdtgt0(X0))
| ~ aSet0(slsdtgt0(X0))
| aIdeal0(slsdtgt0(X0)) ),
inference(instantiation,[status(thm)],[c_96]) ).
cnf(c_7919,plain,
( ~ aElementOf0(sdtpldt0(sK10(slsdtgt0(xc)),sK12(slsdtgt0(xc))),slsdtgt0(xc))
| ~ aElementOf0(sdtasdt0(sK11(slsdtgt0(xc)),sK10(slsdtgt0(xc))),slsdtgt0(xc))
| ~ aSet0(slsdtgt0(xc))
| aIdeal0(slsdtgt0(xc)) ),
inference(instantiation,[status(thm)],[c_7918]) ).
cnf(c_8949,plain,
( ~ aElementOf0(sK12(slsdtgt0(xc)),slsdtgt0(xc))
| ~ aElementOf0(X0,slsdtgt0(xc))
| aElementOf0(sdtpldt0(X0,sK12(slsdtgt0(xc))),slsdtgt0(xc)) ),
inference(instantiation,[status(thm)],[c_5369]) ).
cnf(c_9092,plain,
( ~ aElementOf0(sK10(slsdtgt0(xc)),slsdtgt0(xc))
| ~ aElement0(sK11(slsdtgt0(xc)))
| aElementOf0(sdtasdt0(sK11(slsdtgt0(xc)),sK10(slsdtgt0(xc))),slsdtgt0(xc)) ),
inference(instantiation,[status(thm)],[c_5374]) ).
cnf(c_10538,plain,
( ~ aElementOf0(sK10(slsdtgt0(xc)),slsdtgt0(xc))
| ~ aElementOf0(sK12(slsdtgt0(xc)),slsdtgt0(xc))
| aElementOf0(sdtpldt0(sK10(slsdtgt0(xc)),sK12(slsdtgt0(xc))),slsdtgt0(xc)) ),
inference(instantiation,[status(thm)],[c_8949]) ).
cnf(c_10539,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_10538,c_9092,c_7919,c_7905,c_7811,c_7770,c_7766,c_149,c_139,c_138]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : RNG106+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.19/0.34 % DateTime : Sun Aug 27 02:11:47 EDT 2023
% 0.19/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.01/1.14 % SZS status Started for theBenchmark.p
% 4.01/1.14 % SZS status Theorem for theBenchmark.p
% 4.01/1.14
% 4.01/1.14 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 4.01/1.14
% 4.01/1.14 ------ iProver source info
% 4.01/1.14
% 4.01/1.14 git: date: 2023-05-31 18:12:56 +0000
% 4.01/1.14 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 4.01/1.14 git: non_committed_changes: false
% 4.01/1.14 git: last_make_outside_of_git: false
% 4.01/1.14
% 4.01/1.14 ------ Parsing...
% 4.01/1.14 ------ Clausification by vclausify_rel & Parsing by iProver...
% 4.01/1.14
% 4.01/1.14 ------ 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: 2 0s sf_e pe_s pe_e
% 4.01/1.14
% 4.01/1.14 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.01/1.14
% 4.01/1.14 ------ Preprocessing... sf_s rm: 5 0s sf_e sf_s rm: 0 0s sf_e
% 4.01/1.14 ------ Proving...
% 4.01/1.14 ------ Problem Properties
% 4.01/1.14
% 4.01/1.14
% 4.01/1.14 clauses 98
% 4.01/1.14 conjectures 13
% 4.01/1.14 EPR 16
% 4.01/1.14 Horn 73
% 4.01/1.14 unary 5
% 4.01/1.14 binary 18
% 4.01/1.14 lits 361
% 4.01/1.14 lits eq 46
% 4.01/1.14 fd_pure 0
% 4.01/1.14 fd_pseudo 0
% 4.01/1.14 fd_cond 3
% 4.01/1.14 fd_pseudo_cond 11
% 4.01/1.14 AC symbols 0
% 4.01/1.14
% 4.01/1.14 ------ Schedule dynamic 5 is on
% 4.01/1.14
% 4.01/1.14 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.01/1.14
% 4.01/1.14
% 4.01/1.14 ------
% 4.01/1.14 Current options:
% 4.01/1.14 ------
% 4.01/1.14
% 4.01/1.14
% 4.01/1.14
% 4.01/1.14
% 4.01/1.14 ------ Proving...
% 4.01/1.14
% 4.01/1.14
% 4.01/1.14 % SZS status Theorem for theBenchmark.p
% 4.01/1.14
% 4.01/1.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.01/1.14
% 4.01/1.15
%------------------------------------------------------------------------------