TSTP Solution File: RNG088+2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : RNG088+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 : n018.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 14:01:09 EDT 2023
% Result : Theorem 0.22s 0.46s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 34 ( 9 unt; 0 def)
% Number of atoms : 99 ( 4 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 92 ( 27 ~; 24 |; 27 &)
% ( 2 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 24 (; 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f453,plain,
$false,
inference(avatar_sat_refutation,[],[f183,f408,f452]) ).
fof(f452,plain,
spl16_2,
inference(avatar_contradiction_clause,[],[f451]) ).
fof(f451,plain,
( $false
| spl16_2 ),
inference(subsumption_resolution,[],[f450,f102]) ).
fof(f102,plain,
aElementOf0(xl,xJ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,axiom,
( xx = sdtpldt0(xk,xl)
& aElementOf0(xl,xJ)
& aElementOf0(xk,xI) ),
file('/export/starexec/sandbox2/tmp/tmp.TxfJEyip5o/Vampire---4.8_24226',m__934) ).
fof(f450,plain,
( ~ aElementOf0(xl,xJ)
| spl16_2 ),
inference(subsumption_resolution,[],[f448,f182]) ).
fof(f182,plain,
( ~ aElementOf0(sF14,xJ)
| spl16_2 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f180,plain,
( spl16_2
<=> aElementOf0(sF14,xJ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_2])]) ).
fof(f448,plain,
( aElementOf0(sF14,xJ)
| ~ aElementOf0(xl,xJ) ),
inference(superposition,[],[f302,f172]) ).
fof(f172,plain,
sdtpldt0(xl,xn) = sF14,
introduced(function_definition,[]) ).
fof(f302,plain,
! [X3] :
( aElementOf0(sdtpldt0(X3,xn),xJ)
| ~ aElementOf0(X3,xJ) ),
inference(resolution,[],[f98,f105]) ).
fof(f105,plain,
aElementOf0(xn,xJ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,axiom,
( xy = sdtpldt0(xm,xn)
& aElementOf0(xn,xJ)
& aElementOf0(xm,xI) ),
file('/export/starexec/sandbox2/tmp/tmp.TxfJEyip5o/Vampire---4.8_24226',m__967) ).
fof(f98,plain,
! [X2,X0] :
( ~ aElementOf0(X2,xJ)
| aElementOf0(sdtpldt0(X0,X2),xJ)
| ~ aElementOf0(X0,xJ) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
( aIdeal0(xJ)
& ! [X0] :
( ( ! [X1] :
( aElementOf0(sdtasdt0(X1,X0),xJ)
| ~ aElement0(X1) )
& ! [X2] :
( aElementOf0(sdtpldt0(X0,X2),xJ)
| ~ aElementOf0(X2,xJ) ) )
| ~ aElementOf0(X0,xJ) )
& aSet0(xJ)
& aIdeal0(xI)
& ! [X3] :
( ( ! [X4] :
( aElementOf0(sdtasdt0(X4,X3),xI)
| ~ aElement0(X4) )
& ! [X5] :
( aElementOf0(sdtpldt0(X3,X5),xI)
| ~ aElementOf0(X5,xI) ) )
| ~ aElementOf0(X3,xI) )
& aSet0(xI) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,plain,
( aIdeal0(xJ)
& ! [X0] :
( aElementOf0(X0,xJ)
=> ( ! [X1] :
( aElement0(X1)
=> aElementOf0(sdtasdt0(X1,X0),xJ) )
& ! [X2] :
( aElementOf0(X2,xJ)
=> aElementOf0(sdtpldt0(X0,X2),xJ) ) ) )
& aSet0(xJ)
& aIdeal0(xI)
& ! [X3] :
( aElementOf0(X3,xI)
=> ( ! [X4] :
( aElement0(X4)
=> aElementOf0(sdtasdt0(X4,X3),xI) )
& ! [X5] :
( aElementOf0(X5,xI)
=> aElementOf0(sdtpldt0(X3,X5),xI) ) ) )
& aSet0(xI) ),
inference(rectify,[],[f25]) ).
fof(f25,axiom,
( aIdeal0(xJ)
& ! [X0] :
( aElementOf0(X0,xJ)
=> ( ! [X1] :
( aElement0(X1)
=> aElementOf0(sdtasdt0(X1,X0),xJ) )
& ! [X1] :
( aElementOf0(X1,xJ)
=> aElementOf0(sdtpldt0(X0,X1),xJ) ) ) )
& aSet0(xJ)
& aIdeal0(xI)
& ! [X0] :
( aElementOf0(X0,xI)
=> ( ! [X1] :
( aElement0(X1)
=> aElementOf0(sdtasdt0(X1,X0),xI) )
& ! [X1] :
( aElementOf0(X1,xI)
=> aElementOf0(sdtpldt0(X0,X1),xI) ) ) )
& aSet0(xI) ),
file('/export/starexec/sandbox2/tmp/tmp.TxfJEyip5o/Vampire---4.8_24226',m__870) ).
fof(f408,plain,
spl16_1,
inference(avatar_contradiction_clause,[],[f407]) ).
fof(f407,plain,
( $false
| spl16_1 ),
inference(subsumption_resolution,[],[f406,f101]) ).
fof(f101,plain,
aElementOf0(xk,xI),
inference(cnf_transformation,[],[f27]) ).
fof(f406,plain,
( ~ aElementOf0(xk,xI)
| spl16_1 ),
inference(subsumption_resolution,[],[f405,f178]) ).
fof(f178,plain,
( ~ aElementOf0(sF15,xI)
| spl16_1 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f176,plain,
( spl16_1
<=> aElementOf0(sF15,xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_1])]) ).
fof(f405,plain,
( aElementOf0(sF15,xI)
| ~ aElementOf0(xk,xI) ),
inference(superposition,[],[f277,f173]) ).
fof(f173,plain,
sdtpldt0(xk,xm) = sF15,
introduced(function_definition,[]) ).
fof(f277,plain,
! [X4] :
( aElementOf0(sdtpldt0(X4,xm),xI)
| ~ aElementOf0(X4,xI) ),
inference(resolution,[],[f94,f104]) ).
fof(f104,plain,
aElementOf0(xm,xI),
inference(cnf_transformation,[],[f28]) ).
fof(f94,plain,
! [X3,X5] :
( ~ aElementOf0(X5,xI)
| aElementOf0(sdtpldt0(X3,X5),xI)
| ~ aElementOf0(X3,xI) ),
inference(cnf_transformation,[],[f39]) ).
fof(f183,plain,
( ~ spl16_1
| ~ spl16_2 ),
inference(avatar_split_clause,[],[f174,f180,f176]) ).
fof(f174,plain,
( ~ aElementOf0(sF14,xJ)
| ~ aElementOf0(sF15,xI) ),
inference(definition_folding,[],[f92,f173,f172]) ).
fof(f92,plain,
( ~ aElementOf0(sdtpldt0(xl,xn),xJ)
| ~ aElementOf0(sdtpldt0(xk,xm),xI) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
( ~ aElementOf0(sdtpldt0(xl,xn),xJ)
| ~ aElementOf0(sdtpldt0(xk,xm),xI) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,negated_conjecture,
~ ( aElementOf0(sdtpldt0(xl,xn),xJ)
& aElementOf0(sdtpldt0(xk,xm),xI) ),
inference(negated_conjecture,[],[f29]) ).
fof(f29,conjecture,
( aElementOf0(sdtpldt0(xl,xn),xJ)
& aElementOf0(sdtpldt0(xk,xm),xI) ),
file('/export/starexec/sandbox2/tmp/tmp.TxfJEyip5o/Vampire---4.8_24226',m__) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : RNG088+2 : TPTP v8.1.2. Released v4.0.0.
% 0.15/0.16 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.38 % Computer : n018.cluster.edu
% 0.16/0.38 % Model : x86_64 x86_64
% 0.16/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38 % Memory : 8042.1875MB
% 0.16/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38 % CPULimit : 300
% 0.16/0.38 % WCLimit : 300
% 0.16/0.38 % DateTime : Sun Aug 27 01:57:03 EDT 2023
% 0.16/0.38 % CPUTime :
% 0.16/0.38 This is a FOF_THM_RFO_SEQ problem
% 0.16/0.38 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.TxfJEyip5o/Vampire---4.8_24226
% 0.22/0.38 % (24338)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (24353)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_386 on Vampire---4 for (386ds/0Mi)
% 0.22/0.44 % (24343)dis+1010_4:1_anc=none:bd=off:drc=off:flr=on:fsr=off:nm=4:nwc=1.1:nicw=on:sas=z3_680 on Vampire---4 for (680ds/0Mi)
% 0.22/0.44 % (24346)lrs-3_8_anc=none:bce=on:cond=on:drc=off:flr=on:fsd=off:fsr=off:fde=unused:gsp=on:gs=on:gsaa=full_model:lcm=predicate:lma=on:nm=16:sos=all:sp=weighted_frequency:tgt=ground:urr=ec_only:stl=188_482 on Vampire---4 for (482ds/0Mi)
% 0.22/0.44 % (24339)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_730 on Vampire---4 for (730ds/0Mi)
% 0.22/0.44 % (24352)dis+1011_4_add=large:amm=off:sims=off:sac=on:sp=frequency:tgt=ground_413 on Vampire---4 for (413ds/0Mi)
% 0.22/0.45 % (24347)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_424 on Vampire---4 for (424ds/0Mi)
% 0.22/0.45 % (24344)dis-11_4:1_aac=none:add=off:afr=on:anc=none:bd=preordered:bs=on:bsr=on:drc=off:fsr=off:fde=none:gsp=on:irw=on:lcm=reverse:lma=on:nm=0:nwc=1.7:nicw=on:sas=z3:sims=off:sos=all:sac=on:sp=weighted_frequency:tgt=full_602 on Vampire---4 for (602ds/0Mi)
% 0.22/0.45 % (24352)First to succeed.
% 0.22/0.46 % (24347)Also succeeded, but the first one will report.
% 0.22/0.46 % (24352)Refutation found. Thanks to Tanya!
% 0.22/0.46 % SZS status Theorem for Vampire---4
% 0.22/0.46 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.46 % (24352)------------------------------
% 0.22/0.46 % (24352)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.46 % (24352)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.46 % (24352)Termination reason: Refutation
% 0.22/0.46
% 0.22/0.46 % (24352)Memory used [KB]: 5756
% 0.22/0.46 % (24352)Time elapsed: 0.013 s
% 0.22/0.46 % (24352)------------------------------
% 0.22/0.46 % (24352)------------------------------
% 0.22/0.46 % (24338)Success in time 0.073 s
% 0.22/0.46 % Vampire---4.8 exiting
%------------------------------------------------------------------------------