TSTP Solution File: RNG119+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : RNG119+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n007.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 : Wed Aug 31 18:15:07 EDT 2022
% Result : Theorem 1.85s 0.60s
% Output : Refutation 1.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 23
% Syntax : Number of formulae : 85 ( 15 unt; 0 def)
% Number of atoms : 306 ( 43 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 356 ( 135 ~; 121 |; 68 &)
% ( 14 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 9 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 7 con; 0-2 aty)
% Number of variables : 107 ( 85 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1459,plain,
$false,
inference(avatar_sat_refutation,[],[f493,f525,f549,f551,f555,f561,f1161,f1365,f1457]) ).
fof(f1457,plain,
~ spl23_83,
inference(avatar_contradiction_clause,[],[f1455]) ).
fof(f1455,plain,
( $false
| ~ spl23_83 ),
inference(resolution,[],[f1364,f244]) ).
fof(f244,plain,
~ doDivides0(xu,xb),
inference(cnf_transformation,[],[f49]) ).
fof(f49,axiom,
~ doDivides0(xu,xb),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2612) ).
fof(f1364,plain,
( doDivides0(xu,xb)
| ~ spl23_83 ),
inference(avatar_component_clause,[],[f1362]) ).
fof(f1362,plain,
( spl23_83
<=> doDivides0(xu,xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_83])]) ).
fof(f1365,plain,
( ~ spl23_23
| ~ spl23_8
| ~ spl23_18
| spl23_83
| ~ spl23_63 ),
inference(avatar_split_clause,[],[f1314,f1129,f1362,f508,f381,f546]) ).
fof(f546,plain,
( spl23_23
<=> aElement0(xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_23])]) ).
fof(f381,plain,
( spl23_8
<=> aElement0(xu) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_8])]) ).
fof(f508,plain,
( spl23_18
<=> aElement0(xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_18])]) ).
fof(f1129,plain,
( spl23_63
<=> xb = sdtasdt0(xu,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_63])]) ).
fof(f1314,plain,
( doDivides0(xu,xb)
| ~ aElement0(xb)
| ~ aElement0(xu)
| ~ aElement0(xq)
| ~ spl23_63 ),
inference(superposition,[],[f322,f1131]) ).
fof(f1131,plain,
( xb = sdtasdt0(xu,xq)
| ~ spl23_63 ),
inference(avatar_component_clause,[],[f1129]) ).
fof(f322,plain,
! [X2,X0] :
( doDivides0(X0,sdtasdt0(X0,X2))
| ~ aElement0(sdtasdt0(X0,X2))
| ~ aElement0(X2)
| ~ aElement0(X0) ),
inference(equality_resolution,[],[f253]) ).
fof(f253,plain,
! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| doDivides0(X0,X1)
| sdtasdt0(X0,X2) != X1
| ~ aElement0(X2) ),
inference(cnf_transformation,[],[f160]) ).
fof(f160,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| ( ( doDivides0(X0,X1)
| ! [X2] :
( sdtasdt0(X0,X2) != X1
| ~ aElement0(X2) ) )
& ( ( sdtasdt0(X0,sK12(X0,X1)) = X1
& aElement0(sK12(X0,X1)) )
| ~ doDivides0(X0,X1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f158,f159]) ).
fof(f159,plain,
! [X0,X1] :
( ? [X3] :
( sdtasdt0(X0,X3) = X1
& aElement0(X3) )
=> ( sdtasdt0(X0,sK12(X0,X1)) = X1
& aElement0(sK12(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f158,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| ( ( doDivides0(X0,X1)
| ! [X2] :
( sdtasdt0(X0,X2) != X1
| ~ aElement0(X2) ) )
& ( ? [X3] :
( sdtasdt0(X0,X3) = X1
& aElement0(X3) )
| ~ doDivides0(X0,X1) ) ) ),
inference(rectify,[],[f157]) ).
fof(f157,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| ( ( doDivides0(X0,X1)
| ! [X2] :
( sdtasdt0(X0,X2) != X1
| ~ aElement0(X2) ) )
& ( ? [X2] :
( sdtasdt0(X0,X2) = X1
& aElement0(X2) )
| ~ doDivides0(X0,X1) ) ) ),
inference(nnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| ( doDivides0(X0,X1)
<=> ? [X2] :
( sdtasdt0(X0,X2) = X1
& aElement0(X2) ) ) ),
inference(flattening,[],[f118]) ).
fof(f118,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( sdtasdt0(X0,X2) = X1
& aElement0(X2) ) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> ( doDivides0(X0,X1)
<=> ? [X2] :
( sdtasdt0(X0,X2) = X1
& aElement0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiv) ).
fof(f1161,plain,
( ~ spl23_8
| spl23_63
| ~ spl23_23
| ~ spl23_12 ),
inference(avatar_split_clause,[],[f1074,f400,f546,f1129,f381]) ).
fof(f400,plain,
( spl23_12
<=> xb = sdtasdt0(xq,xu) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_12])]) ).
fof(f1074,plain,
( ~ aElement0(xq)
| xb = sdtasdt0(xu,xq)
| ~ aElement0(xu)
| ~ spl23_12 ),
inference(superposition,[],[f402,f268]) ).
fof(f268,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f80]) ).
fof(f80,plain,
! [X1,X0] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,plain,
! [X1,X0] :
( ( aElement0(X0)
& aElement0(X1) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X1,X0] :
( ( aElement0(X1)
& aElement0(X0) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulComm) ).
fof(f402,plain,
( xb = sdtasdt0(xq,xu)
| ~ spl23_12 ),
inference(avatar_component_clause,[],[f400]) ).
fof(f561,plain,
( ~ spl23_8
| ~ spl23_23
| spl23_18
| ~ spl23_12 ),
inference(avatar_split_clause,[],[f558,f400,f508,f546,f381]) ).
fof(f558,plain,
( aElement0(xb)
| ~ aElement0(xq)
| ~ aElement0(xu)
| ~ spl23_12 ),
inference(superposition,[],[f185,f402]) ).
fof(f185,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0,X1] :
( ~ aElement0(X0)
| aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X1) ),
inference(flattening,[],[f108]) ).
fof(f108,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] :
( ( aElement0(X0)
& aElement0(X1) )
=> aElement0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f555,plain,
spl23_23,
inference(avatar_contradiction_clause,[],[f554]) ).
fof(f554,plain,
( $false
| spl23_23 ),
inference(resolution,[],[f548,f224]) ).
fof(f224,plain,
aElement0(xq),
inference(cnf_transformation,[],[f50]) ).
fof(f50,axiom,
( aElement0(xr)
& xb = sdtpldt0(sdtasdt0(xq,xu),xr)
& aElement0(xq)
& ( iLess0(sbrdtbr0(xr),sbrdtbr0(xu))
| sz00 = xr ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2666) ).
fof(f548,plain,
( ~ aElement0(xq)
| spl23_23 ),
inference(avatar_component_clause,[],[f546]) ).
fof(f551,plain,
spl23_20,
inference(avatar_contradiction_clause,[],[f550]) ).
fof(f550,plain,
( $false
| spl23_20 ),
inference(resolution,[],[f519,f392]) ).
fof(f392,plain,
aSet0(xI),
inference(resolution,[],[f197,f273]) ).
fof(f273,plain,
aIdeal0(xI),
inference(cnf_transformation,[],[f42]) ).
fof(f42,axiom,
( aIdeal0(xI)
& xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2174) ).
fof(f197,plain,
! [X0] :
( ~ aIdeal0(X0)
| aSet0(X0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
! [X0] :
( ( aIdeal0(X0)
| ( aElementOf0(sK2(X0),X0)
& ( ( ~ aElementOf0(sdtpldt0(sK2(X0),sK3(X0)),X0)
& aElementOf0(sK3(X0),X0) )
| ( aElement0(sK4(X0))
& ~ aElementOf0(sdtasdt0(sK4(X0),sK2(X0)),X0) ) ) )
| ~ aSet0(X0) )
& ( ( ! [X4] :
( ~ aElementOf0(X4,X0)
| ( ! [X5] :
( aElementOf0(sdtpldt0(X4,X5),X0)
| ~ aElementOf0(X5,X0) )
& ! [X6] :
( ~ aElement0(X6)
| aElementOf0(sdtasdt0(X6,X4),X0) ) ) )
& aSet0(X0) )
| ~ aIdeal0(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f132,f135,f134,f133]) ).
fof(f133,plain,
! [X0] :
( ? [X1] :
( aElementOf0(X1,X0)
& ( ? [X2] :
( ~ aElementOf0(sdtpldt0(X1,X2),X0)
& aElementOf0(X2,X0) )
| ? [X3] :
( aElement0(X3)
& ~ aElementOf0(sdtasdt0(X3,X1),X0) ) ) )
=> ( aElementOf0(sK2(X0),X0)
& ( ? [X2] :
( ~ aElementOf0(sdtpldt0(sK2(X0),X2),X0)
& aElementOf0(X2,X0) )
| ? [X3] :
( aElement0(X3)
& ~ aElementOf0(sdtasdt0(X3,sK2(X0)),X0) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f134,plain,
! [X0] :
( ? [X2] :
( ~ aElementOf0(sdtpldt0(sK2(X0),X2),X0)
& aElementOf0(X2,X0) )
=> ( ~ aElementOf0(sdtpldt0(sK2(X0),sK3(X0)),X0)
& aElementOf0(sK3(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f135,plain,
! [X0] :
( ? [X3] :
( aElement0(X3)
& ~ aElementOf0(sdtasdt0(X3,sK2(X0)),X0) )
=> ( aElement0(sK4(X0))
& ~ aElementOf0(sdtasdt0(sK4(X0),sK2(X0)),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f132,plain,
! [X0] :
( ( aIdeal0(X0)
| ? [X1] :
( aElementOf0(X1,X0)
& ( ? [X2] :
( ~ aElementOf0(sdtpldt0(X1,X2),X0)
& aElementOf0(X2,X0) )
| ? [X3] :
( aElement0(X3)
& ~ aElementOf0(sdtasdt0(X3,X1),X0) ) ) )
| ~ aSet0(X0) )
& ( ( ! [X4] :
( ~ aElementOf0(X4,X0)
| ( ! [X5] :
( aElementOf0(sdtpldt0(X4,X5),X0)
| ~ aElementOf0(X5,X0) )
& ! [X6] :
( ~ aElement0(X6)
| aElementOf0(sdtasdt0(X6,X4),X0) ) ) )
& aSet0(X0) )
| ~ aIdeal0(X0) ) ),
inference(rectify,[],[f131]) ).
fof(f131,plain,
! [X0] :
( ( aIdeal0(X0)
| ? [X1] :
( aElementOf0(X1,X0)
& ( ? [X3] :
( ~ aElementOf0(sdtpldt0(X1,X3),X0)
& aElementOf0(X3,X0) )
| ? [X2] :
( aElement0(X2)
& ~ aElementOf0(sdtasdt0(X2,X1),X0) ) ) )
| ~ aSet0(X0) )
& ( ( ! [X1] :
( ~ aElementOf0(X1,X0)
| ( ! [X3] :
( aElementOf0(sdtpldt0(X1,X3),X0)
| ~ aElementOf0(X3,X0) )
& ! [X2] :
( ~ aElement0(X2)
| aElementOf0(sdtasdt0(X2,X1),X0) ) ) )
& aSet0(X0) )
| ~ aIdeal0(X0) ) ),
inference(flattening,[],[f130]) ).
fof(f130,plain,
! [X0] :
( ( aIdeal0(X0)
| ? [X1] :
( aElementOf0(X1,X0)
& ( ? [X3] :
( ~ aElementOf0(sdtpldt0(X1,X3),X0)
& aElementOf0(X3,X0) )
| ? [X2] :
( aElement0(X2)
& ~ aElementOf0(sdtasdt0(X2,X1),X0) ) ) )
| ~ aSet0(X0) )
& ( ( ! [X1] :
( ~ aElementOf0(X1,X0)
| ( ! [X3] :
( aElementOf0(sdtpldt0(X1,X3),X0)
| ~ aElementOf0(X3,X0) )
& ! [X2] :
( ~ aElement0(X2)
| aElementOf0(sdtasdt0(X2,X1),X0) ) ) )
& aSet0(X0) )
| ~ aIdeal0(X0) ) ),
inference(nnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0] :
( aIdeal0(X0)
<=> ( ! [X1] :
( ~ aElementOf0(X1,X0)
| ( ! [X3] :
( aElementOf0(sdtpldt0(X1,X3),X0)
| ~ aElementOf0(X3,X0) )
& ! [X2] :
( ~ aElement0(X2)
| aElementOf0(sdtasdt0(X2,X1),X0) ) ) )
& aSet0(X0) ) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,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] :
( ( ! [X1] :
( aElementOf0(X1,X0)
=> ( ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),X0) )
& ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(sdtpldt0(X1,X2),X0) ) ) )
& aSet0(X0) )
<=> aIdeal0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefIdeal) ).
fof(f519,plain,
( ~ aSet0(xI)
| spl23_20 ),
inference(avatar_component_clause,[],[f517]) ).
fof(f517,plain,
( spl23_20
<=> aSet0(xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_20])]) ).
fof(f549,plain,
( ~ spl23_23
| ~ spl23_8
| spl23_11 ),
inference(avatar_split_clause,[],[f536,f396,f381,f546]) ).
fof(f396,plain,
( spl23_11
<=> aElement0(sdtasdt0(xq,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_11])]) ).
fof(f536,plain,
( ~ aElement0(xu)
| ~ aElement0(xq)
| spl23_11 ),
inference(resolution,[],[f185,f398]) ).
fof(f398,plain,
( ~ aElement0(sdtasdt0(xq,xu))
| spl23_11 ),
inference(avatar_component_clause,[],[f396]) ).
fof(f525,plain,
( ~ spl23_20
| spl23_8 ),
inference(avatar_split_clause,[],[f500,f381,f517]) ).
fof(f500,plain,
( aElement0(xu)
| ~ aSet0(xI) ),
inference(resolution,[],[f297,f221]) ).
fof(f221,plain,
aElementOf0(xu,xI),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
( aElementOf0(xu,xI)
& sz00 != xu
& ! [X0] :
( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
| sz00 = X0
| ~ aElementOf0(X0,xI) ) ),
inference(flattening,[],[f85]) ).
fof(f85,plain,
( sz00 != xu
& ! [X0] :
( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
| sz00 = X0
| ~ aElementOf0(X0,xI) )
& aElementOf0(xu,xI) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,axiom,
( sz00 != xu
& ! [X0] :
( ( sz00 != X0
& aElementOf0(X0,xI) )
=> ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu)) )
& aElementOf0(xu,xI) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2273) ).
fof(f297,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| ~ aSet0(X0)
| aElement0(X1) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1) ) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
fof(f493,plain,
( ~ spl23_11
| spl23_12 ),
inference(avatar_split_clause,[],[f491,f400,f396]) ).
fof(f491,plain,
( xb = sdtasdt0(xq,xu)
| ~ aElement0(sdtasdt0(xq,xu)) ),
inference(superposition,[],[f316,f225]) ).
fof(f225,plain,
xb = sdtpldt0(sdtasdt0(xq,xu),xr),
inference(cnf_transformation,[],[f50]) ).
fof(f316,plain,
! [X0] :
( sdtpldt0(X0,xr) = X0
| ~ aElement0(X0) ),
inference(definition_unfolding,[],[f265,f267]) ).
fof(f267,plain,
sz00 = xr,
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
sz00 = xr,
inference(flattening,[],[f52]) ).
fof(f52,negated_conjecture,
~ ( sz00 != xr ),
inference(negated_conjecture,[],[f51]) ).
fof(f51,conjecture,
sz00 != xr,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f265,plain,
! [X0] :
( ~ aElement0(X0)
| sdtpldt0(X0,sz00) = X0 ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0] :
( ~ aElement0(X0)
| ( sdtpldt0(X0,sz00) = X0
& sdtpldt0(sz00,X0) = X0 ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( aElement0(X0)
=> ( sdtpldt0(X0,sz00) = X0
& sdtpldt0(sz00,X0) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddZero) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : RNG119+1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n007.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 11:57:31 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.52 % (19913)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.52 % (19934)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.52 % (19921)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.52 % (19912)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.53 % (19912)Instruction limit reached!
% 0.21/0.53 % (19912)------------------------------
% 0.21/0.53 % (19912)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (19912)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (19912)Termination reason: Unknown
% 0.21/0.53 % (19912)Termination phase: Function definition elimination
% 0.21/0.53
% 0.21/0.53 % (19912)Memory used [KB]: 1535
% 0.21/0.53 % (19912)Time elapsed: 0.003 s
% 0.21/0.53 % (19912)Instructions burned: 5 (million)
% 0.21/0.53 % (19912)------------------------------
% 0.21/0.53 % (19912)------------------------------
% 0.21/0.53 % (19921)Instruction limit reached!
% 0.21/0.53 % (19921)------------------------------
% 0.21/0.53 % (19921)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (19926)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.53 % (19918)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.21/0.53 % (19924)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.53 % (19924)Instruction limit reached!
% 0.21/0.53 % (19924)------------------------------
% 0.21/0.53 % (19924)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (19924)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (19924)Termination reason: Unknown
% 0.21/0.53 % (19924)Termination phase: Preprocessing 3
% 0.21/0.53
% 0.21/0.53 % (19924)Memory used [KB]: 1535
% 0.21/0.53 % (19924)Time elapsed: 0.003 s
% 0.21/0.53 % (19924)Instructions burned: 3 (million)
% 0.21/0.53 % (19924)------------------------------
% 0.21/0.53 % (19924)------------------------------
% 0.21/0.53 % (19929)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.21/0.53 % (19915)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.21/0.53 % (19914)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.21/0.53 % (19921)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (19921)Termination reason: Unknown
% 0.21/0.53 % (19921)Termination phase: Saturation
% 0.21/0.53
% 0.21/0.53 % (19921)Memory used [KB]: 6140
% 0.21/0.53 % (19921)Time elapsed: 0.008 s
% 0.21/0.53 % (19921)Instructions burned: 7 (million)
% 0.21/0.53 % (19921)------------------------------
% 0.21/0.53 % (19921)------------------------------
% 0.21/0.53 % (19933)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.21/0.53 % (19937)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.21/0.53 % (19910)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.21/0.54 % (19916)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.21/0.54 % (19935)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.21/0.54 % (19936)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.54 % (19932)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.21/0.54 % (19938)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.21/0.54 % (19939)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.21/0.54 % (19928)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.54 % (19920)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.21/0.54 % (19928)Instruction limit reached!
% 0.21/0.54 % (19928)------------------------------
% 0.21/0.54 % (19928)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (19928)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (19928)Termination reason: Unknown
% 0.21/0.54 % (19928)Termination phase: Preprocessing 3
% 0.21/0.54
% 0.21/0.54 % (19928)Memory used [KB]: 1535
% 0.21/0.54 % (19928)Time elapsed: 0.003 s
% 0.21/0.54 % (19928)Instructions burned: 3 (million)
% 0.21/0.54 % (19928)------------------------------
% 0.21/0.54 % (19928)------------------------------
% 0.21/0.55 % (19911)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.21/0.55 % (19927)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.55 % (19927)Instruction limit reached!
% 0.21/0.55 % (19927)------------------------------
% 0.21/0.55 % (19927)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (19927)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (19927)Termination reason: Unknown
% 0.21/0.55 % (19927)Termination phase: Preprocessing 3
% 0.21/0.55
% 0.21/0.55 % (19927)Memory used [KB]: 1535
% 0.21/0.55 % (19927)Time elapsed: 0.003 s
% 0.21/0.55 % (19927)Instructions burned: 4 (million)
% 0.21/0.55 % (19927)------------------------------
% 0.21/0.55 % (19927)------------------------------
% 0.21/0.55 % (19930)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.21/0.55 % (19923)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.55 % (19919)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.21/0.55 % (19929)Instruction limit reached!
% 0.21/0.55 % (19929)------------------------------
% 0.21/0.55 % (19929)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (19929)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (19929)Termination reason: Unknown
% 0.21/0.55 % (19929)Termination phase: Saturation
% 0.21/0.55
% 0.21/0.55 % (19929)Memory used [KB]: 6268
% 0.21/0.55 % (19929)Time elapsed: 0.132 s
% 0.21/0.55 % (19929)Instructions burned: 11 (million)
% 0.21/0.55 % (19929)------------------------------
% 0.21/0.55 % (19929)------------------------------
% 0.21/0.55 % (19911)Instruction limit reached!
% 0.21/0.55 % (19911)------------------------------
% 0.21/0.55 % (19911)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (19911)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (19911)Termination reason: Unknown
% 0.21/0.55 % (19911)Termination phase: Saturation
% 0.21/0.55
% 0.21/0.55 % (19911)Memory used [KB]: 6268
% 0.21/0.55 % (19911)Time elapsed: 0.104 s
% 0.21/0.55 % (19911)Instructions burned: 13 (million)
% 0.21/0.55 % (19911)------------------------------
% 0.21/0.55 % (19911)------------------------------
% 0.21/0.55 % (19931)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.56 % (19922)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.56 % (19925)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.56 % (19914)Instruction limit reached!
% 0.21/0.56 % (19914)------------------------------
% 0.21/0.56 % (19914)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (19914)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (19914)Termination reason: Unknown
% 0.21/0.56 % (19914)Termination phase: Saturation
% 0.21/0.56
% 0.21/0.56 % (19914)Memory used [KB]: 6268
% 0.21/0.56 % (19914)Time elapsed: 0.127 s
% 0.21/0.56 % (19914)Instructions burned: 14 (million)
% 0.21/0.56 % (19914)------------------------------
% 0.21/0.56 % (19914)------------------------------
% 0.21/0.56 % (19915)Instruction limit reached!
% 0.21/0.56 % (19915)------------------------------
% 0.21/0.56 % (19915)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (19915)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (19915)Termination reason: Unknown
% 0.21/0.56 % (19915)Termination phase: Saturation
% 0.21/0.56
% 0.21/0.56 % (19915)Memory used [KB]: 1791
% 0.21/0.56 % (19915)Time elapsed: 0.126 s
% 0.21/0.56 % (19915)Instructions burned: 15 (million)
% 0.21/0.56 % (19915)------------------------------
% 0.21/0.56 % (19915)------------------------------
% 0.21/0.56 % (19938)Instruction limit reached!
% 0.21/0.56 % (19938)------------------------------
% 0.21/0.56 % (19938)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (19938)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (19938)Termination reason: Unknown
% 0.21/0.56 % (19938)Termination phase: Saturation
% 0.21/0.56
% 0.21/0.56 % (19938)Memory used [KB]: 6140
% 0.21/0.56 % (19938)Time elapsed: 0.005 s
% 0.21/0.56 % (19938)Instructions burned: 8 (million)
% 0.21/0.56 % (19938)------------------------------
% 0.21/0.56 % (19938)------------------------------
% 0.21/0.56 % (19917)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.21/0.56 % (19937)Instruction limit reached!
% 0.21/0.56 % (19937)------------------------------
% 0.21/0.56 % (19937)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (19937)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (19937)Termination reason: Unknown
% 0.21/0.56 % (19937)Termination phase: Saturation
% 0.21/0.56
% 0.21/0.56 % (19937)Memory used [KB]: 6652
% 0.21/0.56 % (19937)Time elapsed: 0.147 s
% 0.21/0.56 % (19937)Instructions burned: 25 (million)
% 0.21/0.56 % (19937)------------------------------
% 0.21/0.56 % (19937)------------------------------
% 1.55/0.57 % (19922)Instruction limit reached!
% 1.55/0.57 % (19922)------------------------------
% 1.55/0.57 % (19922)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.57 % (19922)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.57 % (19922)Termination reason: Unknown
% 1.55/0.57 % (19922)Termination phase: Saturation
% 1.55/0.57
% 1.55/0.57 % (19922)Memory used [KB]: 1918
% 1.55/0.57 % (19922)Time elapsed: 0.153 s
% 1.55/0.57 % (19922)Instructions burned: 17 (million)
% 1.55/0.57 % (19922)------------------------------
% 1.55/0.57 % (19922)------------------------------
% 1.55/0.57 % (19925)Instruction limit reached!
% 1.55/0.57 % (19925)------------------------------
% 1.55/0.57 % (19925)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.57 % (19925)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.57 % (19925)Termination reason: Unknown
% 1.55/0.57 % (19925)Termination phase: Saturation
% 1.55/0.57
% 1.55/0.57 % (19925)Memory used [KB]: 6140
% 1.55/0.57 % (19925)Time elapsed: 0.005 s
% 1.55/0.57 % (19925)Instructions burned: 8 (million)
% 1.55/0.57 % (19925)------------------------------
% 1.55/0.57 % (19925)------------------------------
% 1.55/0.57 % (19920)Instruction limit reached!
% 1.55/0.57 % (19920)------------------------------
% 1.55/0.57 % (19920)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.57 % (19920)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.57 % (19920)Termination reason: Unknown
% 1.55/0.57 % (19920)Termination phase: Saturation
% 1.55/0.57
% 1.55/0.57 % (19920)Memory used [KB]: 6268
% 1.55/0.57 % (19920)Time elapsed: 0.168 s
% 1.55/0.57 % (19920)Instructions burned: 13 (million)
% 1.55/0.57 % (19920)------------------------------
% 1.55/0.57 % (19920)------------------------------
% 1.55/0.58 % (19939)Instruction limit reached!
% 1.55/0.58 % (19939)------------------------------
% 1.55/0.58 % (19939)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.58 % (19939)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.58 % (19939)Termination reason: Unknown
% 1.55/0.58 % (19939)Termination phase: Saturation
% 1.55/0.58
% 1.55/0.58 % (19939)Memory used [KB]: 6396
% 1.55/0.58 % (19939)Time elapsed: 0.164 s
% 1.55/0.58 % (19939)Instructions burned: 24 (million)
% 1.55/0.58 % (19939)------------------------------
% 1.55/0.58 % (19939)------------------------------
% 1.55/0.59 % (19918)Instruction limit reached!
% 1.55/0.59 % (19918)------------------------------
% 1.55/0.59 % (19918)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.59 % (19918)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.59 % (19918)Termination reason: Unknown
% 1.55/0.59 % (19918)Termination phase: Saturation
% 1.55/0.59
% 1.55/0.59 % (19918)Memory used [KB]: 7036
% 1.55/0.59 % (19918)Time elapsed: 0.160 s
% 1.55/0.59 % (19918)Instructions burned: 49 (million)
% 1.55/0.59 % (19918)------------------------------
% 1.55/0.59 % (19918)------------------------------
% 1.85/0.59 % (19930)Instruction limit reached!
% 1.85/0.59 % (19930)------------------------------
% 1.85/0.59 % (19930)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.85/0.59 % (19930)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.85/0.59 % (19930)Termination reason: Unknown
% 1.85/0.59 % (19930)Termination phase: Saturation
% 1.85/0.59
% 1.85/0.59 % (19930)Memory used [KB]: 6396
% 1.85/0.59 % (19930)Time elapsed: 0.188 s
% 1.85/0.59 % (19930)Instructions burned: 31 (million)
% 1.85/0.59 % (19930)------------------------------
% 1.85/0.59 % (19930)------------------------------
% 1.85/0.59 % (19932)First to succeed.
% 1.85/0.60 % (19932)Refutation found. Thanks to Tanya!
% 1.85/0.60 % SZS status Theorem for theBenchmark
% 1.85/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 1.85/0.60 % (19932)------------------------------
% 1.85/0.60 % (19932)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.85/0.60 % (19932)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.85/0.60 % (19932)Termination reason: Refutation
% 1.85/0.60
% 1.85/0.60 % (19932)Memory used [KB]: 6780
% 1.85/0.60 % (19932)Time elapsed: 0.149 s
% 1.85/0.60 % (19932)Instructions burned: 26 (million)
% 1.85/0.60 % (19932)------------------------------
% 1.85/0.60 % (19932)------------------------------
% 1.85/0.60 % (19909)Success in time 0.23 s
%------------------------------------------------------------------------------