TSTP Solution File: RNG059+2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : RNG059+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 14:00:17 EDT 2023
% Result : Theorem 0.22s 0.55s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of formulae : 44 ( 20 unt; 0 def)
% Number of atoms : 97 ( 43 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 90 ( 37 ~; 31 |; 18 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 11 con; 0-2 aty)
% Number of variables : 31 (; 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4930,plain,
$false,
inference(subsumption_resolution,[],[f4914,f230]) ).
fof(f230,plain,
sF5 != sF6,
inference(definition_folding,[],[f129,f229,f228,f227]) ).
fof(f227,plain,
smndt0(xS) = sF4,
introduced(function_definition,[]) ).
fof(f228,plain,
sdtasdt0(sF4,xR) = sF5,
introduced(function_definition,[]) ).
fof(f229,plain,
smndt0(xN) = sF6,
introduced(function_definition,[]) ).
fof(f129,plain,
sdtasdt0(smndt0(xS),xR) != smndt0(xN),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
sdtasdt0(smndt0(xS),xR) != smndt0(xN),
inference(flattening,[],[f59]) ).
fof(f59,negated_conjecture,
sdtasdt0(smndt0(xS),xR) != smndt0(xN),
inference(negated_conjecture,[],[f58]) ).
fof(f58,conjecture,
sdtasdt0(smndt0(xS),xR) = smndt0(xN),
file('/export/starexec/sandbox/tmp/tmp.xIT7a4K88E/Vampire---4.8_29224',m__) ).
fof(f4914,plain,
sF5 = sF6,
inference(superposition,[],[f4888,f229]) ).
fof(f4888,plain,
smndt0(xN) = sF5,
inference(forward_demodulation,[],[f4887,f476]) ).
fof(f476,plain,
sF5 = sdtasdt0(xR,sF4),
inference(subsumption_resolution,[],[f475,f265]) ).
fof(f265,plain,
aScalar0(sF4),
inference(subsumption_resolution,[],[f263,f154]) ).
fof(f154,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f54]) ).
fof(f54,axiom,
( xS = sdtasdt0(xF,xD)
& aScalar0(xS) ),
file('/export/starexec/sandbox/tmp/tmp.xIT7a4K88E/Vampire---4.8_29224',m__1930) ).
fof(f263,plain,
( aScalar0(sF4)
| ~ aScalar0(xS) ),
inference(superposition,[],[f181,f227]) ).
fof(f181,plain,
! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( aScalar0(X0)
=> aScalar0(smndt0(X0)) ),
file('/export/starexec/sandbox/tmp/tmp.xIT7a4K88E/Vampire---4.8_29224',mNegSc) ).
fof(f475,plain,
( sF5 = sdtasdt0(xR,sF4)
| ~ aScalar0(sF4) ),
inference(subsumption_resolution,[],[f448,f156]) ).
fof(f156,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
( xR = sdtasdt0(xC,xG)
& aScalar0(xR) ),
file('/export/starexec/sandbox/tmp/tmp.xIT7a4K88E/Vampire---4.8_29224',m__1892) ).
fof(f448,plain,
( sF5 = sdtasdt0(xR,sF4)
| ~ aScalar0(xR)
| ~ aScalar0(sF4) ),
inference(superposition,[],[f246,f228]) ).
fof(f246,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(subsumption_resolution,[],[f224,f233]) ).
fof(f233,plain,
sP2,
inference(resolution,[],[f223,f170]) ).
fof(f170,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox/tmp/tmp.xIT7a4K88E/Vampire---4.8_29224',mSZeroSc) ).
fof(f223,plain,
! [X2] :
( ~ aScalar0(X2)
| sP2 ),
inference(cnf_transformation,[],[f223_D]) ).
fof(f223_D,plain,
( ! [X2] : ~ aScalar0(X2)
<=> ~ sP2 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f224,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sP2 ),
inference(general_splitting,[],[f213,f223_D]) ).
fof(f213,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
& sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
& sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
& sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f110]) ).
fof(f110,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
& sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
& sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
& sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
& sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
& sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
& sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ) ),
file('/export/starexec/sandbox/tmp/tmp.xIT7a4K88E/Vampire---4.8_29224',mArith) ).
fof(f4887,plain,
smndt0(xN) = sdtasdt0(xR,sF4),
inference(subsumption_resolution,[],[f4839,f156]) ).
fof(f4839,plain,
( smndt0(xN) = sdtasdt0(xR,sF4)
| ~ aScalar0(xR) ),
inference(superposition,[],[f674,f159]) ).
fof(f159,plain,
xN = sdtasdt0(xR,xS),
inference(cnf_transformation,[],[f55]) ).
fof(f55,axiom,
( xN = sdtasdt0(xR,xS)
& aScalar0(xN) ),
file('/export/starexec/sandbox/tmp/tmp.xIT7a4K88E/Vampire---4.8_29224',m__1949) ).
fof(f674,plain,
! [X4] :
( smndt0(sdtasdt0(X4,xS)) = sdtasdt0(X4,sF4)
| ~ aScalar0(X4) ),
inference(subsumption_resolution,[],[f645,f154]) ).
fof(f645,plain,
! [X4] :
( smndt0(sdtasdt0(X4,xS)) = sdtasdt0(X4,sF4)
| ~ aScalar0(xS)
| ~ aScalar0(X4) ),
inference(superposition,[],[f203,f227]) ).
fof(f203,plain,
! [X0,X1] :
( sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0,X1] :
( ( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1)
& sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f100]) ).
fof(f100,plain,
! [X0,X1] :
( ( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1)
& sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1)
& sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1)) ) ),
file('/export/starexec/sandbox/tmp/tmp.xIT7a4K88E/Vampire---4.8_29224',mMNeg) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : RNG059+2 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n013.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 : Sun Aug 27 02:09:02 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.22/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.xIT7a4K88E/Vampire---4.8_29224
% 0.22/0.37 % (29372)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (29376)lrs+2_5:4_anc=none:br=off:fde=unused:gsp=on:nm=32:nwc=1.3:sims=off:sos=all:urr=on:stl=62_558 on Vampire---4 for (558ds/0Mi)
% 0.22/0.43 % (29377)lrs-1010_20_afr=on:anc=all_dependent:bs=on:bsr=on:cond=on:er=known:fde=none:nm=4:nwc=1.3:sims=off:sp=frequency:urr=on:stl=62_533 on Vampire---4 for (533ds/0Mi)
% 0.22/0.43 % (29375)lrs+11_10:1_bs=unit_only:drc=off:fsd=off:fde=none:gs=on:msp=off:nm=16:nwc=2.0:nicw=on:sos=all:sac=on:sp=reverse_frequency:stl=62_575 on Vampire---4 for (575ds/0Mi)
% 0.22/0.43 % (29378)lrs-1010_2_av=off:bce=on:cond=on:er=filter:fde=unused:lcm=predicate:nm=2:nwc=3.0:sims=off:sp=frequency:urr=on:stl=188_520 on Vampire---4 for (520ds/0Mi)
% 0.22/0.43 % (29374)ott+3_2:7_add=large:amm=off:anc=all:bce=on:drc=off:fsd=off:fde=unused:gs=on:irw=on:lcm=predicate:lma=on:msp=off:nwc=10.0:sac=on_598 on Vampire---4 for (598ds/0Mi)
% 0.22/0.43 % (29379)ott+1010_1_aac=none:bce=on:ep=RS:fsd=off:nm=4:nwc=2.0:nicw=on:sas=z3:sims=off_453 on Vampire---4 for (453ds/0Mi)
% 0.22/0.43 % (29373)lrs+1010_20_av=off:bd=off:bs=on:bsr=on:bce=on:flr=on:fde=none:gsp=on:nwc=3.0:tgt=ground:urr=ec_only:stl=125_1192 on Vampire---4 for (1192ds/0Mi)
% 0.22/0.54 % (29373)First to succeed.
% 0.22/0.55 % (29373)Refutation found. Thanks to Tanya!
% 0.22/0.55 % SZS status Theorem for Vampire---4
% 0.22/0.55 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.55 % (29373)------------------------------
% 0.22/0.55 % (29373)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.55 % (29373)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.55 % (29373)Termination reason: Refutation
% 0.22/0.55
% 0.22/0.55 % (29373)Memory used [KB]: 4093
% 0.22/0.55 % (29373)Time elapsed: 0.117 s
% 0.22/0.55 % (29373)------------------------------
% 0.22/0.55 % (29373)------------------------------
% 0.22/0.55 % (29372)Success in time 0.18 s
% 0.22/0.55 % Vampire---4.8 exiting
%------------------------------------------------------------------------------