TSTP Solution File: NUM476+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM476+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_sat --cores 0 -t %d %s
% Computer : n005.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 18:05:20 EDT 2022
% Result : Theorem 3.22s 0.78s
% Output : Refutation 3.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 36
% Syntax : Number of formulae : 172 ( 21 unt; 0 def)
% Number of atoms : 575 ( 200 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 632 ( 229 ~; 255 |; 98 &)
% ( 25 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 15 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 12 con; 0-2 aty)
% Number of variables : 149 ( 124 !; 25 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2764,plain,
$false,
inference(avatar_sat_refutation,[],[f243,f250,f255,f260,f266,f675,f1069,f2495,f2579,f2587,f2625,f2637,f2655,f2752,f2753]) ).
fof(f2753,plain,
( spl13_12
| ~ spl13_5
| ~ spl13_100 ),
inference(avatar_split_clause,[],[f2683,f2622,f252,f384]) ).
fof(f384,plain,
( spl13_12
<=> aNaturalNumber0(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_12])]) ).
fof(f252,plain,
( spl13_5
<=> sK3 = sF11 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_5])]) ).
fof(f2622,plain,
( spl13_100
<=> aNaturalNumber0(sF11) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_100])]) ).
fof(f2683,plain,
( aNaturalNumber0(sK3)
| ~ spl13_5
| ~ spl13_100 ),
inference(forward_demodulation,[],[f2624,f254]) ).
fof(f254,plain,
( sK3 = sF11
| ~ spl13_5 ),
inference(avatar_component_clause,[],[f252]) ).
fof(f2624,plain,
( aNaturalNumber0(sF11)
| ~ spl13_100 ),
inference(avatar_component_clause,[],[f2622]) ).
fof(f2752,plain,
( ~ spl13_12
| ~ spl13_7 ),
inference(avatar_split_clause,[],[f2751,f263,f384]) ).
fof(f263,plain,
( spl13_7
<=> xn = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_7])]) ).
fof(f2751,plain,
( ~ aNaturalNumber0(sK3)
| ~ spl13_7 ),
inference(subsumption_resolution,[],[f2750,f160]) ).
fof(f160,plain,
~ doDivides0(xl,xn),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
( ~ doDivides0(xl,xn)
& ( sz00 = xl
| ( sdtsldt0(sdtpldt0(xm,xn),xl) = sK2
& sdtpldt0(sdtasdt0(xl,sK1),sdtasdt0(xl,sK3)) = sdtpldt0(sdtasdt0(xl,sK1),xn)
& xn = sdtasdt0(xl,sK3)
& sdtmndt0(sK2,sK1) = sK3
& sdtlseqdt0(sK1,sK2)
& sdtsldt0(xm,xl) = sK1 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f68,f118,f117,f116]) ).
fof(f116,plain,
( ? [X0] :
( ? [X1] :
( sdtsldt0(sdtpldt0(xm,xn),xl) = X1
& ? [X2] :
( sdtpldt0(sdtasdt0(xl,X0),sdtasdt0(xl,X2)) = sdtpldt0(sdtasdt0(xl,X0),xn)
& xn = sdtasdt0(xl,X2)
& sdtmndt0(X1,X0) = X2 )
& sdtlseqdt0(X0,X1) )
& sdtsldt0(xm,xl) = X0 )
=> ( ? [X1] :
( sdtsldt0(sdtpldt0(xm,xn),xl) = X1
& ? [X2] :
( sdtpldt0(sdtasdt0(xl,sK1),xn) = sdtpldt0(sdtasdt0(xl,sK1),sdtasdt0(xl,X2))
& xn = sdtasdt0(xl,X2)
& sdtmndt0(X1,sK1) = X2 )
& sdtlseqdt0(sK1,X1) )
& sdtsldt0(xm,xl) = sK1 ) ),
introduced(choice_axiom,[]) ).
fof(f117,plain,
( ? [X1] :
( sdtsldt0(sdtpldt0(xm,xn),xl) = X1
& ? [X2] :
( sdtpldt0(sdtasdt0(xl,sK1),xn) = sdtpldt0(sdtasdt0(xl,sK1),sdtasdt0(xl,X2))
& xn = sdtasdt0(xl,X2)
& sdtmndt0(X1,sK1) = X2 )
& sdtlseqdt0(sK1,X1) )
=> ( sdtsldt0(sdtpldt0(xm,xn),xl) = sK2
& ? [X2] :
( sdtpldt0(sdtasdt0(xl,sK1),xn) = sdtpldt0(sdtasdt0(xl,sK1),sdtasdt0(xl,X2))
& xn = sdtasdt0(xl,X2)
& sdtmndt0(sK2,sK1) = X2 )
& sdtlseqdt0(sK1,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f118,plain,
( ? [X2] :
( sdtpldt0(sdtasdt0(xl,sK1),xn) = sdtpldt0(sdtasdt0(xl,sK1),sdtasdt0(xl,X2))
& xn = sdtasdt0(xl,X2)
& sdtmndt0(sK2,sK1) = X2 )
=> ( sdtpldt0(sdtasdt0(xl,sK1),sdtasdt0(xl,sK3)) = sdtpldt0(sdtasdt0(xl,sK1),xn)
& xn = sdtasdt0(xl,sK3)
& sdtmndt0(sK2,sK1) = sK3 ) ),
introduced(choice_axiom,[]) ).
fof(f68,plain,
( ~ doDivides0(xl,xn)
& ( sz00 = xl
| ? [X0] :
( ? [X1] :
( sdtsldt0(sdtpldt0(xm,xn),xl) = X1
& ? [X2] :
( sdtpldt0(sdtasdt0(xl,X0),sdtasdt0(xl,X2)) = sdtpldt0(sdtasdt0(xl,X0),xn)
& xn = sdtasdt0(xl,X2)
& sdtmndt0(X1,X0) = X2 )
& sdtlseqdt0(X0,X1) )
& sdtsldt0(xm,xl) = X0 ) ) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,negated_conjecture,
~ ( ( sz00 != xl
=> ? [X0] :
( ? [X1] :
( sdtsldt0(sdtpldt0(xm,xn),xl) = X1
& ? [X2] :
( sdtpldt0(sdtasdt0(xl,X0),sdtasdt0(xl,X2)) = sdtpldt0(sdtasdt0(xl,X0),xn)
& xn = sdtasdt0(xl,X2)
& sdtmndt0(X1,X0) = X2 )
& sdtlseqdt0(X0,X1) )
& sdtsldt0(xm,xl) = X0 ) )
=> doDivides0(xl,xn) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
( ( sz00 != xl
=> ? [X0] :
( ? [X1] :
( sdtsldt0(sdtpldt0(xm,xn),xl) = X1
& ? [X2] :
( sdtpldt0(sdtasdt0(xl,X0),sdtasdt0(xl,X2)) = sdtpldt0(sdtasdt0(xl,X0),xn)
& xn = sdtasdt0(xl,X2)
& sdtmndt0(X1,X0) = X2 )
& sdtlseqdt0(X0,X1) )
& sdtsldt0(xm,xl) = X0 ) )
=> doDivides0(xl,xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f2750,plain,
( doDivides0(xl,xn)
| ~ aNaturalNumber0(sK3)
| ~ spl13_7 ),
inference(forward_demodulation,[],[f2749,f265]) ).
fof(f265,plain,
( xn = sF8
| ~ spl13_7 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f2749,plain,
( doDivides0(xl,sF8)
| ~ aNaturalNumber0(sK3) ),
inference(subsumption_resolution,[],[f409,f177]) ).
fof(f177,plain,
aNaturalNumber0(xl),
inference(cnf_transformation,[],[f34]) ).
fof(f34,axiom,
( aNaturalNumber0(xl)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1324) ).
fof(f409,plain,
( doDivides0(xl,sF8)
| ~ aNaturalNumber0(sK3)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[],[f244,f220]) ).
fof(f220,plain,
sF8 = sdtasdt0(xl,sK3),
introduced(function_definition,[]) ).
fof(f244,plain,
! [X2,X0] :
( doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2) ),
inference(subsumption_resolution,[],[f206,f192]) ).
fof(f192,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(sdtasdt0(X1,X0)) ),
inference(rectify,[],[f87]) ).
fof(f87,plain,
! [X1,X0] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(flattening,[],[f86]) ).
fof(f86,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f206,plain,
! [X2,X0] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2) ),
inference(equality_resolution,[],[f151]) ).
fof(f151,plain,
! [X2,X0,X1] :
( doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0,X1] :
( ( ( doDivides0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 ) )
& ( ( aNaturalNumber0(sK0(X0,X1))
& sdtasdt0(X0,sK0(X0,X1)) = X1 )
| ~ doDivides0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f112,f113]) ).
fof(f113,plain,
! [X0,X1] :
( ? [X3] :
( aNaturalNumber0(X3)
& sdtasdt0(X0,X3) = X1 )
=> ( aNaturalNumber0(sK0(X0,X1))
& sdtasdt0(X0,sK0(X0,X1)) = X1 ) ),
introduced(choice_axiom,[]) ).
fof(f112,plain,
! [X0,X1] :
( ( ( doDivides0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 ) )
& ( ? [X3] :
( aNaturalNumber0(X3)
& sdtasdt0(X0,X3) = X1 )
| ~ doDivides0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(rectify,[],[f111]) ).
fof(f111,plain,
! [X1,X0] :
( ( ( doDivides0(X1,X0)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X1,X2) != X0 ) )
& ( ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(X1,X2) = X0 )
| ~ doDivides0(X1,X0) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(nnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X1,X0] :
( ( doDivides0(X1,X0)
<=> ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(X1,X2) = X0 ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f79]) ).
fof(f79,plain,
! [X1,X0] :
( ( doDivides0(X1,X0)
<=> ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(X1,X2) = X0 ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,plain,
! [X1,X0] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( doDivides0(X1,X0)
<=> ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(X1,X2) = X0 ) ) ),
inference(rectify,[],[f30]) ).
fof(f30,axiom,
! [X1,X0] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(X0,X2) = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiv) ).
fof(f2655,plain,
( spl13_96
| ~ spl13_3
| ~ spl13_93 ),
inference(avatar_split_clause,[],[f2654,f2584,f240,f2598]) ).
fof(f2598,plain,
( spl13_96
<=> aNaturalNumber0(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_96])]) ).
fof(f240,plain,
( spl13_3
<=> sF12 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_3])]) ).
fof(f2584,plain,
( spl13_93
<=> aNaturalNumber0(sF12) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_93])]) ).
fof(f2654,plain,
( aNaturalNumber0(sK1)
| ~ spl13_3
| ~ spl13_93 ),
inference(forward_demodulation,[],[f2586,f242]) ).
fof(f242,plain,
( sF12 = sK1
| ~ spl13_3 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f2586,plain,
( aNaturalNumber0(sF12)
| ~ spl13_93 ),
inference(avatar_component_clause,[],[f2584]) ).
fof(f2637,plain,
( spl13_99
| spl13_2
| ~ spl13_4 ),
inference(avatar_split_clause,[],[f2636,f247,f235,f2618]) ).
fof(f2618,plain,
( spl13_99
<=> aNaturalNumber0(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_99])]) ).
fof(f235,plain,
( spl13_2
<=> sz00 = xl ),
introduced(avatar_definition,[new_symbols(naming,[spl13_2])]) ).
fof(f247,plain,
( spl13_4
<=> sK2 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_4])]) ).
fof(f2636,plain,
( aNaturalNumber0(sK2)
| spl13_2
| ~ spl13_4 ),
inference(forward_demodulation,[],[f2635,f249]) ).
fof(f249,plain,
( sK2 = sF6
| ~ spl13_4 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f2635,plain,
( aNaturalNumber0(sF6)
| spl13_2 ),
inference(subsumption_resolution,[],[f2634,f349]) ).
fof(f349,plain,
aNaturalNumber0(sF5),
inference(subsumption_resolution,[],[f348,f175]) ).
fof(f175,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f34]) ).
fof(f348,plain,
( ~ aNaturalNumber0(xn)
| aNaturalNumber0(sF5) ),
inference(subsumption_resolution,[],[f323,f176]) ).
fof(f176,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f34]) ).
fof(f323,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| aNaturalNumber0(sF5) ),
inference(superposition,[],[f185,f216]) ).
fof(f216,plain,
sdtpldt0(xm,xn) = sF5,
introduced(function_definition,[]) ).
fof(f185,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f55]) ).
fof(f55,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB) ).
fof(f2634,plain,
( aNaturalNumber0(sF6)
| ~ aNaturalNumber0(sF5)
| spl13_2 ),
inference(subsumption_resolution,[],[f2633,f177]) ).
fof(f2633,plain,
( aNaturalNumber0(sF6)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sF5)
| spl13_2 ),
inference(subsumption_resolution,[],[f2632,f267]) ).
fof(f267,plain,
doDivides0(xl,sF5),
inference(forward_demodulation,[],[f201,f216]) ).
fof(f201,plain,
doDivides0(xl,sdtpldt0(xm,xn)),
inference(cnf_transformation,[],[f35]) ).
fof(f35,axiom,
( doDivides0(xl,xm)
& doDivides0(xl,sdtpldt0(xm,xn)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1324_04) ).
fof(f2632,plain,
( ~ doDivides0(xl,sF5)
| aNaturalNumber0(sF6)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sF5)
| spl13_2 ),
inference(subsumption_resolution,[],[f1270,f236]) ).
fof(f236,plain,
( sz00 != xl
| spl13_2 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f1270,plain,
( sz00 = xl
| ~ doDivides0(xl,sF5)
| aNaturalNumber0(sF6)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sF5) ),
inference(superposition,[],[f209,f217]) ).
fof(f217,plain,
sF6 = sdtsldt0(sF5,xl),
introduced(function_definition,[]) ).
fof(f209,plain,
! [X0,X1] :
( aNaturalNumber0(sdtsldt0(X1,X0))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = X0 ),
inference(equality_resolution,[],[f184]) ).
fof(f184,plain,
! [X2,X0,X1] :
( aNaturalNumber0(X2)
| sdtsldt0(X1,X0) != X2
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| sz00 = X0 ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0,X1] :
( ! [X2] :
( ( ( aNaturalNumber0(X2)
& sdtasdt0(X0,X2) = X1 )
| sdtsldt0(X1,X0) != X2 )
& ( sdtsldt0(X1,X0) = X2
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 ) )
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| sz00 = X0 ),
inference(rectify,[],[f124]) ).
fof(f124,plain,
! [X1,X0] :
( ! [X2] :
( ( ( aNaturalNumber0(X2)
& sdtasdt0(X1,X2) = X0 )
| sdtsldt0(X0,X1) != X2 )
& ( sdtsldt0(X0,X1) = X2
| ~ aNaturalNumber0(X2)
| sdtasdt0(X1,X2) != X0 ) )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1)
| sz00 = X1 ),
inference(flattening,[],[f123]) ).
fof(f123,plain,
! [X1,X0] :
( ! [X2] :
( ( ( aNaturalNumber0(X2)
& sdtasdt0(X1,X2) = X0 )
| sdtsldt0(X0,X1) != X2 )
& ( sdtsldt0(X0,X1) = X2
| ~ aNaturalNumber0(X2)
| sdtasdt0(X1,X2) != X0 ) )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1)
| sz00 = X1 ),
inference(nnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X1,X0] :
( ! [X2] :
( ( aNaturalNumber0(X2)
& sdtasdt0(X1,X2) = X0 )
<=> sdtsldt0(X0,X1) = X2 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1)
| sz00 = X1 ),
inference(flattening,[],[f81]) ).
fof(f81,plain,
! [X0,X1] :
( ! [X2] :
( ( aNaturalNumber0(X2)
& sdtasdt0(X1,X2) = X0 )
<=> sdtsldt0(X0,X1) = X2 )
| ~ doDivides0(X1,X0)
| sz00 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X1,X0)
& sz00 != X1 )
=> ! [X2] :
( ( aNaturalNumber0(X2)
& sdtasdt0(X1,X2) = X0 )
<=> sdtsldt0(X0,X1) = X2 ) ) ),
inference(rectify,[],[f31]) ).
fof(f31,axiom,
! [X1,X0] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( doDivides0(X0,X1)
& sz00 != X0 )
=> ! [X2] :
( ( aNaturalNumber0(X2)
& sdtasdt0(X0,X2) = X1 )
<=> sdtsldt0(X1,X0) = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefQuot) ).
fof(f2625,plain,
( ~ spl13_99
| ~ spl13_96
| spl13_100
| ~ spl13_6 ),
inference(avatar_split_clause,[],[f624,f257,f2622,f2598,f2618]) ).
fof(f257,plain,
( spl13_6
<=> sdtlseqdt0(sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_6])]) ).
fof(f624,plain,
( ~ sdtlseqdt0(sK1,sK2)
| aNaturalNumber0(sF11)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK2) ),
inference(superposition,[],[f213,f225]) ).
fof(f225,plain,
sdtmndt0(sK2,sK1) = sF11,
introduced(function_definition,[]) ).
fof(f213,plain,
! [X0,X1] :
( aNaturalNumber0(sdtmndt0(X0,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f205]) ).
fof(f205,plain,
! [X2,X0,X1] :
( aNaturalNumber0(X2)
| sdtmndt0(X0,X1) != X2
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
! [X0,X1] :
( ! [X2] :
( ( ( aNaturalNumber0(X2)
& sdtpldt0(X1,X2) = X0 )
| sdtmndt0(X0,X1) != X2 )
& ( sdtmndt0(X0,X1) = X2
| ~ aNaturalNumber0(X2)
| sdtpldt0(X1,X2) != X0 ) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X1) ),
inference(rectify,[],[f138]) ).
fof(f138,plain,
! [X1,X0] :
( ! [X2] :
( ( ( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 )
| sdtmndt0(X1,X0) != X2 )
& ( sdtmndt0(X1,X0) = X2
| ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1 ) )
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f137]) ).
fof(f137,plain,
! [X1,X0] :
( ! [X2] :
( ( ( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 )
| sdtmndt0(X1,X0) != X2 )
& ( sdtmndt0(X1,X0) = X2
| ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1 ) )
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0) ),
inference(nnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X1,X0] :
( ! [X2] :
( ( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 )
<=> sdtmndt0(X1,X0) = X2 )
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f88]) ).
fof(f88,plain,
! [X1,X0] :
( ! [X2] :
( ( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 )
<=> sdtmndt0(X1,X0) = X2 )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X1,X0] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sdtlseqdt0(X0,X1)
=> ! [X2] :
( ( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 )
<=> sdtmndt0(X1,X0) = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiff) ).
fof(f2587,plain,
( spl13_93
| spl13_2 ),
inference(avatar_split_clause,[],[f2582,f235,f2584]) ).
fof(f2582,plain,
( sz00 = xl
| aNaturalNumber0(sF12) ),
inference(subsumption_resolution,[],[f2581,f202]) ).
fof(f202,plain,
doDivides0(xl,xm),
inference(cnf_transformation,[],[f35]) ).
fof(f2581,plain,
( sz00 = xl
| ~ doDivides0(xl,xm)
| aNaturalNumber0(sF12) ),
inference(subsumption_resolution,[],[f2580,f176]) ).
fof(f2580,plain,
( aNaturalNumber0(sF12)
| ~ aNaturalNumber0(xm)
| ~ doDivides0(xl,xm)
| sz00 = xl ),
inference(subsumption_resolution,[],[f1271,f177]) ).
fof(f1271,plain,
( sz00 = xl
| aNaturalNumber0(sF12)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xm)
| ~ doDivides0(xl,xm) ),
inference(superposition,[],[f209,f227]) ).
fof(f227,plain,
sdtsldt0(xm,xl) = sF12,
introduced(function_definition,[]) ).
fof(f2579,plain,
( ~ spl13_2
| spl13_13
| ~ spl13_87 ),
inference(avatar_contradiction_clause,[],[f2578]) ).
fof(f2578,plain,
( $false
| ~ spl13_2
| spl13_13
| ~ spl13_87 ),
inference(subsumption_resolution,[],[f2568,f670]) ).
fof(f670,plain,
( sz00 != sF5
| spl13_13 ),
inference(avatar_component_clause,[],[f668]) ).
fof(f668,plain,
( spl13_13
<=> sz00 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_13])]) ).
fof(f2568,plain,
( sz00 = sF5
| ~ spl13_2
| ~ spl13_87 ),
inference(superposition,[],[f2497,f1116]) ).
fof(f1116,plain,
( sdtasdt0(sz00,sK0(sz00,sF5)) = sF5
| ~ spl13_2 ),
inference(forward_demodulation,[],[f998,f237]) ).
fof(f237,plain,
( sz00 = xl
| ~ spl13_2 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f998,plain,
sF5 = sdtasdt0(xl,sK0(xl,sF5)),
inference(subsumption_resolution,[],[f997,f177]) ).
fof(f997,plain,
( ~ aNaturalNumber0(xl)
| sF5 = sdtasdt0(xl,sK0(xl,sF5)) ),
inference(subsumption_resolution,[],[f957,f349]) ).
fof(f957,plain,
( ~ aNaturalNumber0(sF5)
| sF5 = sdtasdt0(xl,sK0(xl,sF5))
| ~ aNaturalNumber0(xl) ),
inference(resolution,[],[f149,f267]) ).
fof(f149,plain,
! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X0,sK0(X0,X1)) = X1
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f2497,plain,
( sz00 = sdtasdt0(sz00,sK0(sz00,sF5))
| ~ spl13_87 ),
inference(resolution,[],[f2450,f147]) ).
fof(f147,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0] :
( ( sz00 = sdtasdt0(X0,sz00)
& sz00 = sdtasdt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sz00 = sdtasdt0(X0,sz00)
& sz00 = sdtasdt0(sz00,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulZero) ).
fof(f2450,plain,
( aNaturalNumber0(sK0(sz00,sF5))
| ~ spl13_87 ),
inference(avatar_component_clause,[],[f2449]) ).
fof(f2449,plain,
( spl13_87
<=> aNaturalNumber0(sK0(sz00,sF5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_87])]) ).
fof(f2495,plain,
( ~ spl13_2
| spl13_87 ),
inference(avatar_contradiction_clause,[],[f2494]) ).
fof(f2494,plain,
( $false
| ~ spl13_2
| spl13_87 ),
inference(subsumption_resolution,[],[f2493,f141]) ).
fof(f141,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).
fof(f2493,plain,
( ~ aNaturalNumber0(sz00)
| ~ spl13_2
| spl13_87 ),
inference(subsumption_resolution,[],[f2492,f349]) ).
fof(f2492,plain,
( ~ aNaturalNumber0(sF5)
| ~ aNaturalNumber0(sz00)
| ~ spl13_2
| spl13_87 ),
inference(subsumption_resolution,[],[f2491,f271]) ).
fof(f271,plain,
( doDivides0(sz00,sF5)
| ~ spl13_2 ),
inference(superposition,[],[f267,f237]) ).
fof(f2491,plain,
( ~ doDivides0(sz00,sF5)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sF5)
| spl13_87 ),
inference(resolution,[],[f2451,f150]) ).
fof(f150,plain,
! [X0,X1] :
( aNaturalNumber0(sK0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f114]) ).
fof(f2451,plain,
( ~ aNaturalNumber0(sK0(sz00,sF5))
| spl13_87 ),
inference(avatar_component_clause,[],[f2449]) ).
fof(f1069,plain,
~ spl13_14,
inference(avatar_contradiction_clause,[],[f1068]) ).
fof(f1068,plain,
( $false
| ~ spl13_14 ),
inference(subsumption_resolution,[],[f1038,f160]) ).
fof(f1038,plain,
( doDivides0(xl,xn)
| ~ spl13_14 ),
inference(superposition,[],[f267,f835]) ).
fof(f835,plain,
( xn = sF5
| ~ spl13_14 ),
inference(forward_demodulation,[],[f810,f292]) ).
fof(f292,plain,
xn = sdtpldt0(sz00,xn),
inference(resolution,[],[f166,f175]) ).
fof(f166,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sz00,X0) = X0 ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) = X0
& sdtpldt0(sz00,X0) = X0 ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtpldt0(X0,sz00) = X0
& sdtpldt0(sz00,X0) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_AddZero) ).
fof(f810,plain,
( sF5 = sdtpldt0(sz00,xn)
| ~ spl13_14 ),
inference(superposition,[],[f216,f674]) ).
fof(f674,plain,
( sz00 = xm
| ~ spl13_14 ),
inference(avatar_component_clause,[],[f672]) ).
fof(f672,plain,
( spl13_14
<=> sz00 = xm ),
introduced(avatar_definition,[new_symbols(naming,[spl13_14])]) ).
fof(f675,plain,
( ~ spl13_13
| spl13_14 ),
inference(avatar_split_clause,[],[f666,f672,f668]) ).
fof(f666,plain,
( sz00 = xm
| sz00 != sF5 ),
inference(subsumption_resolution,[],[f665,f176]) ).
fof(f665,plain,
( sz00 != sF5
| ~ aNaturalNumber0(xm)
| sz00 = xm ),
inference(subsumption_resolution,[],[f658,f175]) ).
fof(f658,plain,
( ~ aNaturalNumber0(xn)
| sz00 != sF5
| ~ aNaturalNumber0(xm)
| sz00 = xm ),
inference(superposition,[],[f161,f583]) ).
fof(f583,plain,
sdtpldt0(xn,xm) = sF5,
inference(forward_demodulation,[],[f577,f216]) ).
fof(f577,plain,
sdtpldt0(xm,xn) = sdtpldt0(xn,xm),
inference(resolution,[],[f566,f175]) ).
fof(f566,plain,
! [X9] :
( ~ aNaturalNumber0(X9)
| sdtpldt0(xm,X9) = sdtpldt0(X9,xm) ),
inference(resolution,[],[f190,f176]) ).
fof(f190,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X1) ),
inference(rectify,[],[f78]) ).
fof(f78,plain,
! [X1,X0] :
( ~ aNaturalNumber0(X1)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f77]) ).
fof(f77,plain,
! [X1,X0] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X1,X0] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddComm) ).
fof(f161,plain,
! [X0,X1] :
( sz00 != sdtpldt0(X1,X0)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| sz00 != sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ( sz00 = X1
& sz00 = X0 ) ),
inference(flattening,[],[f104]) ).
fof(f104,plain,
! [X1,X0] :
( ( sz00 = X1
& sz00 = X0 )
| sz00 != sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,plain,
! [X1,X0] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( sz00 = sdtpldt0(X1,X0)
=> ( sz00 = X1
& sz00 = X0 ) ) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X1,X0] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( sz00 = sdtpldt0(X0,X1)
=> ( sz00 = X0
& sz00 = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroAdd) ).
fof(f266,plain,
( spl13_7
| spl13_2 ),
inference(avatar_split_clause,[],[f224,f235,f263]) ).
fof(f224,plain,
( sz00 = xl
| xn = sF8 ),
inference(definition_folding,[],[f157,f220]) ).
fof(f157,plain,
( sz00 = xl
| xn = sdtasdt0(xl,sK3) ),
inference(cnf_transformation,[],[f119]) ).
fof(f260,plain,
( spl13_6
| spl13_2 ),
inference(avatar_split_clause,[],[f155,f235,f257]) ).
fof(f155,plain,
( sz00 = xl
| sdtlseqdt0(sK1,sK2) ),
inference(cnf_transformation,[],[f119]) ).
fof(f255,plain,
( spl13_5
| spl13_2 ),
inference(avatar_split_clause,[],[f226,f235,f252]) ).
fof(f226,plain,
( sz00 = xl
| sK3 = sF11 ),
inference(definition_folding,[],[f156,f225]) ).
fof(f156,plain,
( sz00 = xl
| sdtmndt0(sK2,sK1) = sK3 ),
inference(cnf_transformation,[],[f119]) ).
fof(f250,plain,
( spl13_2
| spl13_4 ),
inference(avatar_split_clause,[],[f218,f247,f235]) ).
fof(f218,plain,
( sK2 = sF6
| sz00 = xl ),
inference(definition_folding,[],[f159,f217,f216]) ).
fof(f159,plain,
( sz00 = xl
| sdtsldt0(sdtpldt0(xm,xn),xl) = sK2 ),
inference(cnf_transformation,[],[f119]) ).
fof(f243,plain,
( spl13_2
| spl13_3 ),
inference(avatar_split_clause,[],[f228,f240,f235]) ).
fof(f228,plain,
( sF12 = sK1
| sz00 = xl ),
inference(definition_folding,[],[f154,f227]) ).
fof(f154,plain,
( sz00 = xl
| sdtsldt0(xm,xl) = sK1 ),
inference(cnf_transformation,[],[f119]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM476+1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n005.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
% 0.13/0.34 % DateTime : Tue Aug 30 06:38:18 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.21/0.53 % (5508)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53 % (5516)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.54 % (5525)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.21/0.54 % (5517)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.21/0.54 TRYING [1]
% 0.21/0.55 % (5524)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.21/0.55 TRYING [2]
% 0.21/0.55 % (5509)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.56 TRYING [3]
% 0.21/0.57 % (5509)Instruction limit reached!
% 0.21/0.57 % (5509)------------------------------
% 0.21/0.57 % (5509)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57 % (5509)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57 % (5509)Termination reason: Unknown
% 0.21/0.57 % (5509)Termination phase: Saturation
% 0.21/0.57
% 0.21/0.57 % (5509)Memory used [KB]: 5628
% 0.21/0.57 % (5509)Time elapsed: 0.099 s
% 0.21/0.57 % (5509)Instructions burned: 8 (million)
% 0.21/0.57 % (5509)------------------------------
% 0.21/0.57 % (5509)------------------------------
% 0.21/0.58 % (5502)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.21/0.58 % (5513)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.58 % (5504)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.59 % (5514)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.59 % (5515)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.59 % (5503)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.60 % (5505)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.61 % (5519)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.61 % (5506)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.61 % (5508)Instruction limit reached!
% 0.21/0.61 % (5508)------------------------------
% 0.21/0.61 % (5508)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.61 % (5508)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.61 % (5508)Termination reason: Unknown
% 0.21/0.61 % (5508)Termination phase: Finite model building SAT solving
% 0.21/0.61
% 0.21/0.61 % (5508)Memory used [KB]: 7291
% 0.21/0.61 % (5508)Time elapsed: 0.165 s
% 0.21/0.61 % (5508)Instructions burned: 52 (million)
% 0.21/0.61 % (5508)------------------------------
% 0.21/0.61 % (5508)------------------------------
% 0.21/0.61 % (5507)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.21/0.61 % (5528)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.61 TRYING [1]
% 0.21/0.61 TRYING [2]
% 0.21/0.61 % (5526)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.61 % (5511)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.62 % (5520)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.62 % (5503)Refutation not found, incomplete strategy% (5503)------------------------------
% 0.21/0.62 % (5503)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.62 % (5503)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.62 % (5503)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.62
% 0.21/0.62 % (5503)Memory used [KB]: 5628
% 0.21/0.62 % (5503)Time elapsed: 0.180 s
% 0.21/0.62 % (5503)Instructions burned: 7 (million)
% 0.21/0.62 % (5503)------------------------------
% 0.21/0.62 % (5503)------------------------------
% 0.21/0.62 % (5527)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.62 % (5518)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.62 % (5530)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.62 % (5531)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.21/0.62 % (5512)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.63 TRYING [1]
% 0.21/0.63 TRYING [2]
% 0.21/0.63 % (5522)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.21/0.63 % (5510)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.63 % (5510)Instruction limit reached!
% 0.21/0.63 % (5510)------------------------------
% 0.21/0.63 % (5510)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.63 % (5510)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.63 % (5510)Termination reason: Unknown
% 0.21/0.63 % (5510)Termination phase: Preprocessing 1
% 0.21/0.63
% 0.21/0.63 % (5510)Memory used [KB]: 895
% 0.21/0.63 % (5510)Time elapsed: 0.002 s
% 0.21/0.63 % (5510)Instructions burned: 2 (million)
% 0.21/0.63 % (5510)------------------------------
% 0.21/0.63 % (5510)------------------------------
% 0.21/0.63 % (5523)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.63 TRYING [3]
% 0.21/0.64 % (5529)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.21/0.64 % (5521)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.65 TRYING [3]
% 0.21/0.66 % (5517)Instruction limit reached!
% 0.21/0.66 % (5517)------------------------------
% 0.21/0.66 % (5517)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.66 % (5517)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.66 % (5517)Termination reason: Unknown
% 0.21/0.66 % (5517)Termination phase: Saturation
% 0.21/0.66
% 0.21/0.66 % (5517)Memory used [KB]: 2174
% 0.21/0.66 % (5517)Time elapsed: 0.185 s
% 0.21/0.66 % (5517)Instructions burned: 75 (million)
% 0.21/0.66 % (5517)------------------------------
% 0.21/0.66 % (5517)------------------------------
% 0.21/0.67 % (5516)Instruction limit reached!
% 0.21/0.67 % (5516)------------------------------
% 0.21/0.67 % (5516)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.67 % (5516)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.67 % (5516)Termination reason: Unknown
% 0.21/0.67 % (5516)Termination phase: Saturation
% 0.21/0.67
% 0.21/0.67 % (5516)Memory used [KB]: 6652
% 0.21/0.67 % (5516)Time elapsed: 0.054 s
% 0.21/0.67 % (5516)Instructions burned: 69 (million)
% 0.21/0.67 % (5516)------------------------------
% 0.21/0.67 % (5516)------------------------------
% 0.21/0.69 TRYING [4]
% 0.21/0.69 % (5504)Instruction limit reached!
% 0.21/0.69 % (5504)------------------------------
% 0.21/0.69 % (5504)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.69 % (5504)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.69 % (5504)Termination reason: Unknown
% 0.21/0.69 % (5504)Termination phase: Saturation
% 0.21/0.69
% 0.21/0.69 % (5504)Memory used [KB]: 1535
% 0.21/0.69 % (5504)Time elapsed: 0.255 s
% 0.21/0.69 % (5504)Instructions burned: 37 (million)
% 0.21/0.69 % (5504)------------------------------
% 0.21/0.69 % (5504)------------------------------
% 0.21/0.72 % (5507)Instruction limit reached!
% 0.21/0.72 % (5507)------------------------------
% 0.21/0.72 % (5507)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.72 % (5507)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.72 % (5507)Termination reason: Unknown
% 0.21/0.72 % (5507)Termination phase: Saturation
% 0.21/0.72
% 0.21/0.72 % (5507)Memory used [KB]: 6012
% 0.21/0.72 % (5507)Time elapsed: 0.308 s
% 0.21/0.72 % (5507)Instructions burned: 48 (million)
% 0.21/0.72 % (5507)------------------------------
% 0.21/0.72 % (5507)------------------------------
% 2.67/0.72 % (5506)Instruction limit reached!
% 2.67/0.72 % (5506)------------------------------
% 2.67/0.72 % (5506)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.67/0.72 % (5506)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.67/0.72 % (5506)Termination reason: Unknown
% 2.67/0.72 % (5506)Termination phase: Saturation
% 2.67/0.72
% 2.67/0.72 % (5506)Memory used [KB]: 6140
% 2.67/0.72 % (5506)Time elapsed: 0.312 s
% 2.67/0.72 % (5506)Instructions burned: 52 (million)
% 2.67/0.72 % (5506)------------------------------
% 2.67/0.72 % (5506)------------------------------
% 2.67/0.73 % (5565)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 2.67/0.73 % (5512)Instruction limit reached!
% 2.67/0.73 % (5512)------------------------------
% 2.67/0.73 % (5512)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.67/0.73 % (5512)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.67/0.73 % (5512)Termination reason: Unknown
% 2.67/0.73 % (5512)Termination phase: Saturation
% 2.67/0.73
% 2.67/0.73 % (5512)Memory used [KB]: 6524
% 2.67/0.73 % (5512)Time elapsed: 0.316 s
% 2.67/0.73 % (5512)Instructions burned: 50 (million)
% 2.67/0.73 % (5512)------------------------------
% 2.67/0.73 % (5512)------------------------------
% 3.10/0.74 TRYING [4]
% 3.10/0.74 % (5519)Instruction limit reached!
% 3.10/0.74 % (5519)------------------------------
% 3.10/0.74 % (5519)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.10/0.74 % (5519)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.10/0.74 % (5519)Termination reason: Unknown
% 3.10/0.74 % (5519)Termination phase: Finite model building constraint generation
% 3.10/0.74
% 3.10/0.74 % (5519)Memory used [KB]: 7547
% 3.10/0.74 % (5519)Time elapsed: 0.329 s
% 3.10/0.74 % (5519)Instructions burned: 62 (million)
% 3.10/0.74 % (5519)------------------------------
% 3.10/0.74 % (5519)------------------------------
% 3.10/0.74 % (5511)Instruction limit reached!
% 3.10/0.74 % (5511)------------------------------
% 3.10/0.74 % (5511)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.10/0.74 % (5511)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.10/0.74 % (5511)Termination reason: Unknown
% 3.10/0.74 % (5511)Termination phase: Saturation
% 3.10/0.74
% 3.10/0.74 % (5511)Memory used [KB]: 1663
% 3.10/0.74 % (5511)Time elapsed: 0.317 s
% 3.10/0.74 % (5511)Instructions burned: 51 (million)
% 3.10/0.74 % (5511)------------------------------
% 3.10/0.74 % (5511)------------------------------
% 3.10/0.75 % (5505)Instruction limit reached!
% 3.10/0.75 % (5505)------------------------------
% 3.10/0.75 % (5505)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.10/0.75 % (5505)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.10/0.75 % (5505)Termination reason: Unknown
% 3.10/0.75 % (5505)Termination phase: Saturation
% 3.10/0.75
% 3.10/0.75 % (5505)Memory used [KB]: 6268
% 3.10/0.75 % (5505)Time elapsed: 0.319 s
% 3.10/0.75 % (5505)Instructions burned: 51 (million)
% 3.10/0.75 % (5505)------------------------------
% 3.10/0.75 % (5505)------------------------------
% 3.22/0.76 % (5528)Instruction limit reached!
% 3.22/0.76 % (5528)------------------------------
% 3.22/0.76 % (5528)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.22/0.76 % (5528)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.22/0.76 % (5528)Termination reason: Unknown
% 3.22/0.76 % (5528)Termination phase: Saturation
% 3.22/0.76
% 3.22/0.76 % (5528)Memory used [KB]: 6652
% 3.22/0.76 % (5528)Time elapsed: 0.045 s
% 3.22/0.76 % (5528)Instructions burned: 69 (million)
% 3.22/0.76 % (5528)------------------------------
% 3.22/0.76 % (5528)------------------------------
% 3.22/0.77 % (5568)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/934Mi)
% 3.22/0.77 % (5564)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/388Mi)
% 3.22/0.77 % (5569)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/747Mi)
% 3.22/0.78 % (5515)First to succeed.
% 3.22/0.78 % (5515)Refutation found. Thanks to Tanya!
% 3.22/0.78 % SZS status Theorem for theBenchmark
% 3.22/0.78 % SZS output start Proof for theBenchmark
% See solution above
% 3.22/0.78 % (5515)------------------------------
% 3.22/0.78 % (5515)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.22/0.78 % (5515)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.22/0.78 % (5515)Termination reason: Refutation
% 3.22/0.78
% 3.22/0.78 % (5515)Memory used [KB]: 6908
% 3.22/0.78 % (5515)Time elapsed: 0.350 s
% 3.22/0.78 % (5515)Instructions burned: 83 (million)
% 3.22/0.78 % (5515)------------------------------
% 3.22/0.78 % (5515)------------------------------
% 3.22/0.78 % (5501)Success in time 0.421 s
%------------------------------------------------------------------------------