TSTP Solution File: NUM584+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM584+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n003.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 : Tue Apr 30 14:34:34 EDT 2024
% Result : Theorem 13.53s 3.20s
% Output : Refutation 13.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 13
% Syntax : Number of formulae : 52 ( 16 unt; 0 def)
% Number of atoms : 222 ( 36 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 274 ( 104 ~; 96 |; 58 &)
% ( 11 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 8 con; 0-3 aty)
% Number of variables : 90 ( 82 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f13632,plain,
$false,
inference(resolution,[],[f13630,f317]) ).
fof(f317,plain,
aElementOf0(xK,szNzAzT0),
inference(cnf_transformation,[],[f74]) ).
fof(f74,axiom,
aElementOf0(xK,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3418) ).
fof(f13630,plain,
~ aElementOf0(xK,szNzAzT0),
inference(resolution,[],[f13628,f346]) ).
fof(f346,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f23,axiom,
( isCountable0(szNzAzT0)
& aSet0(szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNATSet) ).
fof(f13628,plain,
( ~ aSet0(szNzAzT0)
| ~ aElementOf0(xK,szNzAzT0) ),
inference(resolution,[],[f13621,f540]) ).
fof(f540,plain,
( aSet0(xS)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f385,f333]) ).
fof(f333,plain,
aSubsetOf0(xS,szNzAzT0),
inference(cnf_transformation,[],[f75]) ).
fof(f75,axiom,
( isCountable0(xS)
& aSubsetOf0(xS,szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3435) ).
fof(f385,plain,
! [X0,X1] :
( ~ aSubsetOf0(X1,X0)
| aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f253]) ).
fof(f253,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ( ~ aElementOf0(sK20(X0,X1),X0)
& aElementOf0(sK20(X0,X1),X1) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f251,f252]) ).
fof(f252,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK20(X0,X1),X0)
& aElementOf0(sK20(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f251,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(rectify,[],[f250]) ).
fof(f250,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(flattening,[],[f249]) ).
fof(f249,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSub) ).
fof(f13621,plain,
( ~ aSet0(xS)
| ~ aElementOf0(xK,szNzAzT0) ),
inference(resolution,[],[f13620,f318]) ).
fof(f318,plain,
aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS),
inference(cnf_transformation,[],[f88]) ).
fof(f88,axiom,
aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4024) ).
fof(f13620,plain,
( ~ aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS)
| ~ aElementOf0(xK,szNzAzT0)
| ~ aSet0(xS) ),
inference(resolution,[],[f13619,f484]) ).
fof(f484,plain,
! [X0,X1] :
( sP11(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f225]) ).
fof(f225,plain,
! [X0,X1] :
( sP11(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(definition_folding,[],[f186,f224,f223]) ).
fof(f223,plain,
! [X1,X0,X2] :
( sP10(X1,X0,X2)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) )
& aSet0(X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f224,plain,
! [X0,X1] :
( ! [X2] :
( slbdtsldtrb0(X0,X1) = X2
<=> sP10(X1,X0,X2) )
| ~ sP11(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f186,plain,
! [X0,X1] :
( ! [X2] :
( slbdtsldtrb0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) )
& aSet0(X2) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(flattening,[],[f185]) ).
fof(f185,plain,
! [X0,X1] :
( ! [X2] :
( slbdtsldtrb0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) )
& aSet0(X2) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aSet0(X0) )
=> ! [X2] :
( slbdtsldtrb0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSel) ).
fof(f13619,plain,
( ~ sP11(xS,xK)
| ~ aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS) ),
inference(resolution,[],[f13329,f611]) ).
fof(f611,plain,
( sP10(xK,xS,szDzozmdt0(xc))
| ~ sP11(xS,xK) ),
inference(superposition,[],[f521,f322]) ).
fof(f322,plain,
szDzozmdt0(xc) = slbdtsldtrb0(xS,xK),
inference(cnf_transformation,[],[f76]) ).
fof(f76,axiom,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& aFunction0(xc) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3453) ).
fof(f521,plain,
! [X0,X1] :
( sP10(X1,X0,slbdtsldtrb0(X0,X1))
| ~ sP11(X0,X1) ),
inference(equality_resolution,[],[f475]) ).
fof(f475,plain,
! [X2,X0,X1] :
( sP10(X1,X0,X2)
| slbdtsldtrb0(X0,X1) != X2
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f303]) ).
fof(f303,plain,
! [X0,X1] :
( ! [X2] :
( ( slbdtsldtrb0(X0,X1) = X2
| ~ sP10(X1,X0,X2) )
& ( sP10(X1,X0,X2)
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ sP11(X0,X1) ),
inference(nnf_transformation,[],[f224]) ).
fof(f13329,plain,
! [X0] :
( ~ sP10(xK,X0,szDzozmdt0(xc))
| ~ aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),X0) ),
inference(resolution,[],[f886,f525]) ).
fof(f525,plain,
~ aElementOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),szDzozmdt0(xc)),
inference(backward_demodulation,[],[f313,f322]) ).
fof(f313,plain,
~ aElementOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),slbdtsldtrb0(xS,xK)),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
~ aElementOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),slbdtsldtrb0(xS,xK)),
inference(flattening,[],[f90]) ).
fof(f90,negated_conjecture,
~ aElementOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),slbdtsldtrb0(xS,xK)),
inference(negated_conjecture,[],[f89]) ).
fof(f89,conjecture,
aElementOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),slbdtsldtrb0(xS,xK)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f886,plain,
! [X0,X1] :
( aElementOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),X1)
| ~ aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),X0)
| ~ sP10(xK,X0,X1) ),
inference(superposition,[],[f522,f319]) ).
fof(f319,plain,
xK = sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),
inference(cnf_transformation,[],[f87]) ).
fof(f87,axiom,
xK = sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4007) ).
fof(f522,plain,
! [X2,X1,X4] :
( ~ sP10(sbrdtbr0(X4),X1,X2)
| ~ aSubsetOf0(X4,X1)
| aElementOf0(X4,X2) ),
inference(equality_resolution,[],[f480]) ).
fof(f480,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| sbrdtbr0(X4) != X0
| ~ aSubsetOf0(X4,X1)
| ~ sP10(X0,X1,X2) ),
inference(cnf_transformation,[],[f308]) ).
fof(f308,plain,
! [X0,X1,X2] :
( ( sP10(X0,X1,X2)
| ( ( sbrdtbr0(sK32(X0,X1,X2)) != X0
| ~ aSubsetOf0(sK32(X0,X1,X2),X1)
| ~ aElementOf0(sK32(X0,X1,X2),X2) )
& ( ( sbrdtbr0(sK32(X0,X1,X2)) = X0
& aSubsetOf0(sK32(X0,X1,X2),X1) )
| aElementOf0(sK32(X0,X1,X2),X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| sbrdtbr0(X4) != X0
| ~ aSubsetOf0(X4,X1) )
& ( ( sbrdtbr0(X4) = X0
& aSubsetOf0(X4,X1) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| ~ sP10(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK32])],[f306,f307]) ).
fof(f307,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( sbrdtbr0(X3) != X0
| ~ aSubsetOf0(X3,X1)
| ~ aElementOf0(X3,X2) )
& ( ( sbrdtbr0(X3) = X0
& aSubsetOf0(X3,X1) )
| aElementOf0(X3,X2) ) )
=> ( ( sbrdtbr0(sK32(X0,X1,X2)) != X0
| ~ aSubsetOf0(sK32(X0,X1,X2),X1)
| ~ aElementOf0(sK32(X0,X1,X2),X2) )
& ( ( sbrdtbr0(sK32(X0,X1,X2)) = X0
& aSubsetOf0(sK32(X0,X1,X2),X1) )
| aElementOf0(sK32(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f306,plain,
! [X0,X1,X2] :
( ( sP10(X0,X1,X2)
| ? [X3] :
( ( sbrdtbr0(X3) != X0
| ~ aSubsetOf0(X3,X1)
| ~ aElementOf0(X3,X2) )
& ( ( sbrdtbr0(X3) = X0
& aSubsetOf0(X3,X1) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| sbrdtbr0(X4) != X0
| ~ aSubsetOf0(X4,X1) )
& ( ( sbrdtbr0(X4) = X0
& aSubsetOf0(X4,X1) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| ~ sP10(X0,X1,X2) ) ),
inference(rectify,[],[f305]) ).
fof(f305,plain,
! [X1,X0,X2] :
( ( sP10(X1,X0,X2)
| ? [X3] :
( ( sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0)
| ~ aElementOf0(X3,X2) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP10(X1,X0,X2) ) ),
inference(flattening,[],[f304]) ).
fof(f304,plain,
! [X1,X0,X2] :
( ( sP10(X1,X0,X2)
| ? [X3] :
( ( sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0)
| ~ aElementOf0(X3,X2) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP10(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f223]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : NUM584+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n003.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 Apr 30 00:06:03 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (14167)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (14174)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.39 % (14169)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.39 % (14172)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.39 % (14170)WARNING: value z3 for option sas not known
% 0.14/0.39 % (14168)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.39 % (14173)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.40 % (14171)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.41 % (14170)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.42 TRYING [1]
% 0.20/0.43 TRYING [2]
% 0.20/0.44 TRYING [1]
% 0.20/0.44 TRYING [2]
% 0.20/0.46 TRYING [3]
% 0.20/0.48 TRYING [3]
% 0.96/0.59 TRYING [4]
% 1.28/0.64 TRYING [4]
% 1.76/0.74 TRYING [5]
% 3.55/1.11 TRYING [5]
% 3.55/1.13 TRYING [6]
% 3.55/1.14 TRYING [1]
% 3.55/1.15 TRYING [2]
% 3.94/1.18 TRYING [3]
% 4.25/1.26 TRYING [4]
% 5.47/1.50 TRYING [5]
% 7.93/2.00 TRYING [7]
% 8.62/2.14 TRYING [6]
% 10.03/2.46 TRYING [6]
% 13.53/3.18 % (14173)First to succeed.
% 13.53/3.20 % (14173)Refutation found. Thanks to Tanya!
% 13.53/3.20 % SZS status Theorem for theBenchmark
% 13.53/3.20 % SZS output start Proof for theBenchmark
% See solution above
% 13.53/3.20 % (14173)------------------------------
% 13.53/3.20 % (14173)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 13.53/3.20 % (14173)Termination reason: Refutation
% 13.53/3.20
% 13.53/3.20 % (14173)Memory used [KB]: 14121
% 13.53/3.20 % (14173)Time elapsed: 2.776 s
% 13.53/3.20 % (14173)Instructions burned: 2294 (million)
% 13.53/3.20 % (14173)------------------------------
% 13.53/3.20 % (14173)------------------------------
% 13.53/3.20 % (14167)Success in time 2.844 s
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