TSTP Solution File: RNG098+2 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : RNG098+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n006.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 : Sun May 5 08:54:13 EDT 2024
% Result : Theorem 0.59s 0.77s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 20
% Syntax : Number of formulae : 81 ( 25 unt; 0 def)
% Number of atoms : 279 ( 18 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 303 ( 105 ~; 94 |; 71 &)
% ( 7 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 5 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 95 ( 79 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f819,plain,
$false,
inference(avatar_sat_refutation,[],[f281,f284,f732,f747,f818]) ).
fof(f818,plain,
( ~ spl14_12
| spl14_37 ),
inference(avatar_contradiction_clause,[],[f817]) ).
fof(f817,plain,
( $false
| ~ spl14_12
| spl14_37 ),
inference(subsumption_resolution,[],[f816,f110]) ).
fof(f110,plain,
aElement0(xx),
inference(cnf_transformation,[],[f30]) ).
fof(f30,axiom,
( aElement0(xy)
& aElement0(xx) ),
file('/export/starexec/sandbox2/tmp/tmp.6k2N0zqh04/Vampire---4.8_5705',m__1217) ).
fof(f816,plain,
( ~ aElement0(xx)
| ~ spl14_12
| spl14_37 ),
inference(subsumption_resolution,[],[f803,f280]) ).
fof(f280,plain,
( aElementOf0(sdtpldt0(sdtasdt0(xx,xb),sdtasdt0(xx,smndt0(sz10))),xI)
| ~ spl14_12 ),
inference(avatar_component_clause,[],[f278]) ).
fof(f278,plain,
( spl14_12
<=> aElementOf0(sdtpldt0(sdtasdt0(xx,xb),sdtasdt0(xx,smndt0(sz10))),xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_12])]) ).
fof(f803,plain,
( ~ aElementOf0(sdtpldt0(sdtasdt0(xx,xb),sdtasdt0(xx,smndt0(sz10))),xI)
| ~ aElement0(xx)
| spl14_37 ),
inference(superposition,[],[f729,f155]) ).
fof(f155,plain,
! [X0] :
( smndt0(X0) = sdtasdt0(X0,smndt0(sz10))
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0] :
( ( smndt0(X0) = sdtasdt0(X0,smndt0(sz10))
& smndt0(X0) = sdtasdt0(smndt0(sz10),X0) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( aElement0(X0)
=> ( smndt0(X0) = sdtasdt0(X0,smndt0(sz10))
& smndt0(X0) = sdtasdt0(smndt0(sz10),X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.6k2N0zqh04/Vampire---4.8_5705',mMulMnOne) ).
fof(f729,plain,
( ~ aElementOf0(sdtpldt0(sdtasdt0(xx,xb),smndt0(xx)),xI)
| spl14_37 ),
inference(avatar_component_clause,[],[f727]) ).
fof(f727,plain,
( spl14_37
<=> aElementOf0(sdtpldt0(sdtasdt0(xx,xb),smndt0(xx)),xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_37])]) ).
fof(f747,plain,
spl14_36,
inference(avatar_contradiction_clause,[],[f746]) ).
fof(f746,plain,
( $false
| spl14_36 ),
inference(subsumption_resolution,[],[f745,f101]) ).
fof(f101,plain,
aIdeal0(xI),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
( aIdeal0(xJ)
& ! [X0] :
( ( ! [X1] :
( aElementOf0(sdtasdt0(X1,X0),xJ)
| ~ aElement0(X1) )
& ! [X2] :
( aElementOf0(sdtpldt0(X0,X2),xJ)
| ~ aElementOf0(X2,xJ) ) )
| ~ aElementOf0(X0,xJ) )
& aSet0(xJ)
& aIdeal0(xI)
& ! [X3] :
( ( ! [X4] :
( aElementOf0(sdtasdt0(X4,X3),xI)
| ~ aElement0(X4) )
& ! [X5] :
( aElementOf0(sdtpldt0(X3,X5),xI)
| ~ aElementOf0(X5,xI) ) )
| ~ aElementOf0(X3,xI) )
& aSet0(xI) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,plain,
( aIdeal0(xJ)
& ! [X0] :
( aElementOf0(X0,xJ)
=> ( ! [X1] :
( aElement0(X1)
=> aElementOf0(sdtasdt0(X1,X0),xJ) )
& ! [X2] :
( aElementOf0(X2,xJ)
=> aElementOf0(sdtpldt0(X0,X2),xJ) ) ) )
& aSet0(xJ)
& aIdeal0(xI)
& ! [X3] :
( aElementOf0(X3,xI)
=> ( ! [X4] :
( aElement0(X4)
=> aElementOf0(sdtasdt0(X4,X3),xI) )
& ! [X5] :
( aElementOf0(X5,xI)
=> aElementOf0(sdtpldt0(X3,X5),xI) ) ) )
& aSet0(xI) ),
inference(rectify,[],[f28]) ).
fof(f28,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/sandbox2/tmp/tmp.6k2N0zqh04/Vampire---4.8_5705',m__1205) ).
fof(f745,plain,
( ~ aIdeal0(xI)
| spl14_36 ),
inference(subsumption_resolution,[],[f744,f112]) ).
fof(f112,plain,
aElementOf0(xa,xI),
inference(cnf_transformation,[],[f31]) ).
fof(f31,axiom,
( sz10 = sdtpldt0(xa,xb)
& aElementOf0(xb,xJ)
& aElementOf0(xa,xI) ),
file('/export/starexec/sandbox2/tmp/tmp.6k2N0zqh04/Vampire---4.8_5705',m__1294) ).
fof(f744,plain,
( ~ aElementOf0(xa,xI)
| ~ aIdeal0(xI)
| spl14_36 ),
inference(subsumption_resolution,[],[f738,f111]) ).
fof(f111,plain,
aElement0(xy),
inference(cnf_transformation,[],[f30]) ).
fof(f738,plain,
( ~ aElement0(xy)
| ~ aElementOf0(xa,xI)
| ~ aIdeal0(xI)
| spl14_36 ),
inference(resolution,[],[f725,f129]) ).
fof(f129,plain,
! [X0,X4,X5] :
( aElementOf0(sdtasdt0(X5,X4),X0)
| ~ aElement0(X5)
| ~ aElementOf0(X4,X0)
| ~ aIdeal0(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0] :
( ( aIdeal0(X0)
| ( ( ( ~ aElementOf0(sdtasdt0(sK7(X0),sK6(X0)),X0)
& aElement0(sK7(X0)) )
| ( ~ aElementOf0(sdtpldt0(sK6(X0),sK8(X0)),X0)
& aElementOf0(sK8(X0),X0) ) )
& aElementOf0(sK6(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,[sK6,sK7,sK8])],[f85,f88,f87,f86]) ).
fof(f86,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,sK6(X0)),X0)
& aElement0(X2) )
| ? [X3] :
( ~ aElementOf0(sdtpldt0(sK6(X0),X3),X0)
& aElementOf0(X3,X0) ) )
& aElementOf0(sK6(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f87,plain,
! [X0] :
( ? [X2] :
( ~ aElementOf0(sdtasdt0(X2,sK6(X0)),X0)
& aElement0(X2) )
=> ( ~ aElementOf0(sdtasdt0(sK7(X0),sK6(X0)),X0)
& aElement0(sK7(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f88,plain,
! [X0] :
( ? [X3] :
( ~ aElementOf0(sdtpldt0(sK6(X0),X3),X0)
& aElementOf0(X3,X0) )
=> ( ~ aElementOf0(sdtpldt0(sK6(X0),sK8(X0)),X0)
& aElementOf0(sK8(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f85,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,[],[f84]) ).
fof(f84,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,[],[f83]) ).
fof(f83,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,[],[f54]) ).
fof(f54,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,[],[f42]) ).
fof(f42,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(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/tmp/tmp.6k2N0zqh04/Vampire---4.8_5705',mDefIdeal) ).
fof(f725,plain,
( ~ aElementOf0(sdtasdt0(xy,xa),xI)
| spl14_36 ),
inference(avatar_component_clause,[],[f723]) ).
fof(f723,plain,
( spl14_36
<=> aElementOf0(sdtasdt0(xy,xa),xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_36])]) ).
fof(f732,plain,
( ~ spl14_36
| ~ spl14_37 ),
inference(avatar_split_clause,[],[f731,f727,f723]) ).
fof(f731,plain,
( ~ aElementOf0(sdtpldt0(sdtasdt0(xx,xb),smndt0(xx)),xI)
| ~ aElementOf0(sdtasdt0(xy,xa),xI) ),
inference(subsumption_resolution,[],[f717,f101]) ).
fof(f717,plain,
( ~ aElementOf0(sdtpldt0(sdtasdt0(xx,xb),smndt0(xx)),xI)
| ~ aElementOf0(sdtasdt0(xy,xa),xI)
| ~ aIdeal0(xI) ),
inference(resolution,[],[f172,f128]) ).
fof(f128,plain,
! [X0,X6,X4] :
( aElementOf0(sdtpldt0(X4,X6),X0)
| ~ aElementOf0(X6,X0)
| ~ aElementOf0(X4,X0)
| ~ aIdeal0(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f172,plain,
~ aElementOf0(sdtpldt0(sdtasdt0(xy,xa),sdtpldt0(sdtasdt0(xx,xb),smndt0(xx))),xI),
inference(forward_demodulation,[],[f171,f170]) ).
fof(f170,plain,
sdtpldt0(sdtasdt0(xy,xa),sdtpldt0(sdtasdt0(xx,xb),smndt0(xx))) = sdtpldt0(sdtpldt0(sdtasdt0(xy,xa),sdtasdt0(xx,xb)),smndt0(xx)),
inference(forward_demodulation,[],[f116,f115]) ).
fof(f115,plain,
xw = sdtpldt0(sdtasdt0(xy,xa),sdtasdt0(xx,xb)),
inference(cnf_transformation,[],[f32]) ).
fof(f32,axiom,
xw = sdtpldt0(sdtasdt0(xy,xa),sdtasdt0(xx,xb)),
file('/export/starexec/sandbox2/tmp/tmp.6k2N0zqh04/Vampire---4.8_5705',m__1319) ).
fof(f116,plain,
sdtpldt0(xw,smndt0(xx)) = sdtpldt0(sdtasdt0(xy,xa),sdtpldt0(sdtasdt0(xx,xb),smndt0(xx))),
inference(cnf_transformation,[],[f33]) ).
fof(f33,axiom,
sdtpldt0(xw,smndt0(xx)) = sdtpldt0(sdtasdt0(xy,xa),sdtpldt0(sdtasdt0(xx,xb),smndt0(xx))),
file('/export/starexec/sandbox2/tmp/tmp.6k2N0zqh04/Vampire---4.8_5705',m__1374) ).
fof(f171,plain,
~ aElementOf0(sdtpldt0(sdtpldt0(sdtasdt0(xy,xa),sdtasdt0(xx,xb)),smndt0(xx)),xI),
inference(forward_demodulation,[],[f118,f115]) ).
fof(f118,plain,
~ aElementOf0(sdtpldt0(xw,smndt0(xx)),xI),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
~ aElementOf0(sdtpldt0(xw,smndt0(xx)),xI),
inference(flattening,[],[f36]) ).
fof(f36,negated_conjecture,
~ aElementOf0(sdtpldt0(xw,smndt0(xx)),xI),
inference(negated_conjecture,[],[f35]) ).
fof(f35,conjecture,
aElementOf0(sdtpldt0(xw,smndt0(xx)),xI),
file('/export/starexec/sandbox2/tmp/tmp.6k2N0zqh04/Vampire---4.8_5705',m__) ).
fof(f284,plain,
spl14_11,
inference(avatar_contradiction_clause,[],[f283]) ).
fof(f283,plain,
( $false
| spl14_11 ),
inference(subsumption_resolution,[],[f282,f158]) ).
fof(f158,plain,
aElement0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
aElement0(sz10),
file('/export/starexec/sandbox2/tmp/tmp.6k2N0zqh04/Vampire---4.8_5705',mSortsC_01) ).
fof(f282,plain,
( ~ aElement0(sz10)
| spl14_11 ),
inference(resolution,[],[f276,f159]) ).
fof(f159,plain,
! [X0] :
( aElement0(smndt0(X0))
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0] :
( aElement0(smndt0(X0))
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( aElement0(X0)
=> aElement0(smndt0(X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.6k2N0zqh04/Vampire---4.8_5705',mSortsU) ).
fof(f276,plain,
( ~ aElement0(smndt0(sz10))
| spl14_11 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f274,plain,
( spl14_11
<=> aElement0(smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_11])]) ).
fof(f281,plain,
( ~ spl14_11
| spl14_12 ),
inference(avatar_split_clause,[],[f272,f278,f274]) ).
fof(f272,plain,
( aElementOf0(sdtpldt0(sdtasdt0(xx,xb),sdtasdt0(xx,smndt0(sz10))),xI)
| ~ aElement0(smndt0(sz10)) ),
inference(subsumption_resolution,[],[f271,f110]) ).
fof(f271,plain,
( aElementOf0(sdtpldt0(sdtasdt0(xx,xb),sdtasdt0(xx,smndt0(sz10))),xI)
| ~ aElement0(smndt0(sz10))
| ~ aElement0(xx) ),
inference(subsumption_resolution,[],[f269,f178]) ).
fof(f178,plain,
aElement0(xb),
inference(subsumption_resolution,[],[f177,f102]) ).
fof(f102,plain,
aSet0(xJ),
inference(cnf_transformation,[],[f43]) ).
fof(f177,plain,
( aElement0(xb)
| ~ aSet0(xJ) ),
inference(resolution,[],[f113,f123]) ).
fof(f123,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.6k2N0zqh04/Vampire---4.8_5705',mEOfElem) ).
fof(f113,plain,
aElementOf0(xb,xJ),
inference(cnf_transformation,[],[f31]) ).
fof(f269,plain,
( aElementOf0(sdtpldt0(sdtasdt0(xx,xb),sdtasdt0(xx,smndt0(sz10))),xI)
| ~ aElement0(smndt0(sz10))
| ~ aElement0(xb)
| ~ aElement0(xx) ),
inference(superposition,[],[f117,f135]) ).
fof(f135,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1,X2] :
( ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f55]) ).
fof(f55,plain,
! [X0,X1,X2] :
( ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aElement0(X2)
& aElement0(X1)
& aElement0(X0) )
=> ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.6k2N0zqh04/Vampire---4.8_5705',mAMDistr) ).
fof(f117,plain,
aElementOf0(sdtasdt0(xx,sdtpldt0(xb,smndt0(sz10))),xI),
inference(cnf_transformation,[],[f34]) ).
fof(f34,axiom,
aElementOf0(sdtasdt0(xx,sdtpldt0(xb,smndt0(sz10))),xI),
file('/export/starexec/sandbox2/tmp/tmp.6k2N0zqh04/Vampire---4.8_5705',m__1393) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : RNG098+2 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n006.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 18:17:08 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.6k2N0zqh04/Vampire---4.8_5705
% 0.58/0.75 % (6082)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.58/0.75 % (6075)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.58/0.75 % (6077)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.75 % (6079)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.58/0.75 % (6076)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.58/0.75 % (6078)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.58/0.75 % (6080)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.58/0.75 % (6081)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.59/0.77 % (6080)First to succeed.
% 0.59/0.77 % (6082)Instruction limit reached!
% 0.59/0.77 % (6082)------------------------------
% 0.59/0.77 % (6082)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77 % (6082)Termination reason: Unknown
% 0.59/0.77 % (6082)Termination phase: Saturation
% 0.59/0.77
% 0.59/0.77 % (6082)Memory used [KB]: 1426
% 0.59/0.77 % (6082)Time elapsed: 0.019 s
% 0.59/0.77 % (6082)Instructions burned: 58 (million)
% 0.59/0.77 % (6082)------------------------------
% 0.59/0.77 % (6082)------------------------------
% 0.59/0.77 % (6080)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-5983"
% 0.59/0.77 % (6078)Instruction limit reached!
% 0.59/0.77 % (6078)------------------------------
% 0.59/0.77 % (6078)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77 % (6078)Termination reason: Unknown
% 0.59/0.77 % (6078)Termination phase: Saturation
% 0.59/0.77
% 0.59/0.77 % (6078)Memory used [KB]: 1707
% 0.59/0.77 % (6078)Time elapsed: 0.020 s
% 0.59/0.77 % (6078)Instructions burned: 34 (million)
% 0.59/0.77 % (6078)------------------------------
% 0.59/0.77 % (6078)------------------------------
% 0.59/0.77 % (6080)Refutation found. Thanks to Tanya!
% 0.59/0.77 % SZS status Theorem for Vampire---4
% 0.59/0.77 % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.77 % (6080)------------------------------
% 0.59/0.77 % (6080)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77 % (6080)Termination reason: Refutation
% 0.59/0.77
% 0.59/0.77 % (6080)Memory used [KB]: 1264
% 0.59/0.77 % (6080)Time elapsed: 0.019 s
% 0.59/0.77 % (6080)Instructions burned: 28 (million)
% 0.59/0.77 % (5983)Success in time 0.392 s
% 0.59/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------