TSTP Solution File: COM125+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : COM125+1 : TPTP v8.2.0. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n019.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 : Mon May 20 19:10:45 EDT 2024
% Result : Theorem 0.47s 0.69s
% Output : Refutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 41 ( 8 unt; 0 def)
% Number of atoms : 134 ( 37 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 159 ( 66 ~; 45 |; 33 &)
% ( 1 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-3 aty)
% Number of variables : 143 ( 125 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f190,plain,
$false,
inference(avatar_sat_refutation,[],[f181,f189]) ).
fof(f189,plain,
~ spl6_1,
inference(avatar_contradiction_clause,[],[f188]) ).
fof(f188,plain,
( $false
| ~ spl6_1 ),
inference(subsumption_resolution,[],[f187,f152]) ).
fof(f152,plain,
! [X0,X4,X5] : ~ visFreeVar(X4,vabs(X4,X0,X5)),
inference(equality_resolution,[],[f151]) ).
fof(f151,plain,
! [X0,X1,X4,X5] :
( ~ visFreeVar(X1,vabs(X4,X0,X5))
| X1 != X4 ),
inference(equality_resolution,[],[f150]) ).
fof(f150,plain,
! [X2,X0,X1,X4,X5] :
( ~ visFreeVar(X1,X2)
| vabs(X4,X0,X5) != X2
| X1 != X4 ),
inference(equality_resolution,[],[f118]) ).
fof(f118,plain,
! [X2,X3,X0,X1,X4,X5] :
( X3 != X4
| ~ visFreeVar(X1,X2)
| vabs(X3,X0,X5) != X2
| X1 != X4 ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( ( ( visFreeVar(X4,X5)
& X3 != X4 )
| ~ visFreeVar(X1,X2) )
& ( visFreeVar(X1,X2)
| ~ visFreeVar(X4,X5)
| X3 = X4 ) )
| vabs(X3,X0,X5) != X2
| X1 != X4 ),
inference(flattening,[],[f85]) ).
fof(f85,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( ( ( visFreeVar(X4,X5)
& X3 != X4 )
| ~ visFreeVar(X1,X2) )
& ( visFreeVar(X1,X2)
| ~ visFreeVar(X4,X5)
| X3 = X4 ) )
| vabs(X3,X0,X5) != X2
| X1 != X4 ),
inference(ennf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( vabs(X3,X0,X5) = X2
& X1 = X4 )
=> ( ( visFreeVar(X1,X2)
=> ( visFreeVar(X4,X5)
& X3 != X4 ) )
& ( ( visFreeVar(X4,X5)
& X3 != X4 )
=> visFreeVar(X1,X2) ) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X14,X0,X3,X8,X13,X10] :
( ( vabs(X8,X14,X10) = X3
& X0 = X13 )
=> ( ( visFreeVar(X0,X3)
=> ( visFreeVar(X13,X10)
& X8 != X13 ) )
& ( ( visFreeVar(X13,X10)
& X8 != X13 )
=> visFreeVar(X0,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isFreeVar1) ).
fof(f187,plain,
( visFreeVar(sK3,vabs(sK3,sK4,veabs))
| ~ spl6_1 ),
inference(subsumption_resolution,[],[f185,f107]) ).
fof(f107,plain,
vtcheck(sK2,vabs(sK3,sK4,veabs),sK5),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
( ~ vtcheck(vbind(sK0,sK1,sK2),vabs(sK3,sK4,veabs),sK5)
& vtcheck(sK2,vabs(sK3,sK4,veabs),sK5)
& ~ visFreeVar(sK0,vabs(sK3,sK4,veabs)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f78,f104]) ).
fof(f104,plain,
( ? [X0,X1,X2,X3,X4,X5] :
( ~ vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
& vtcheck(X2,vabs(X3,X4,veabs),X5)
& ~ visFreeVar(X0,vabs(X3,X4,veabs)) )
=> ( ~ vtcheck(vbind(sK0,sK1,sK2),vabs(sK3,sK4,veabs),sK5)
& vtcheck(sK2,vabs(sK3,sK4,veabs),sK5)
& ~ visFreeVar(sK0,vabs(sK3,sK4,veabs)) ) ),
introduced(choice_axiom,[]) ).
fof(f78,plain,
? [X0,X1,X2,X3,X4,X5] :
( ~ vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
& vtcheck(X2,vabs(X3,X4,veabs),X5)
& ~ visFreeVar(X0,vabs(X3,X4,veabs)) ),
inference(flattening,[],[f77]) ).
fof(f77,plain,
? [X0,X1,X2,X3,X4,X5] :
( ~ vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
& vtcheck(X2,vabs(X3,X4,veabs),X5)
& ~ visFreeVar(X0,vabs(X3,X4,veabs)) ),
inference(ennf_transformation,[],[f62]) ).
fof(f62,plain,
~ ! [X0,X1,X2,X3,X4,X5] :
( ( vtcheck(X2,vabs(X3,X4,veabs),X5)
& ~ visFreeVar(X0,vabs(X3,X4,veabs)) )
=> vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5) ),
inference(rectify,[],[f61]) ).
fof(f61,negated_conjecture,
~ ! [X8,X9,X19,X20,X34,X14] :
( ( vtcheck(X19,vabs(X20,X34,veabs),X14)
& ~ visFreeVar(X8,vabs(X20,X34,veabs)) )
=> vtcheck(vbind(X8,X9,X19),vabs(X20,X34,veabs),X14) ),
inference(negated_conjecture,[],[f60]) ).
fof(f60,conjecture,
! [X8,X9,X19,X20,X34,X14] :
( ( vtcheck(X19,vabs(X20,X34,veabs),X14)
& ~ visFreeVar(X8,vabs(X20,X34,veabs)) )
=> vtcheck(vbind(X8,X9,X19),vabs(X20,X34,veabs),X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Weak-FreeVar-abs') ).
fof(f185,plain,
( ~ vtcheck(sK2,vabs(sK3,sK4,veabs),sK5)
| visFreeVar(sK3,vabs(sK3,sK4,veabs))
| ~ spl6_1 ),
inference(resolution,[],[f182,f164]) ).
fof(f164,plain,
! [X2,X3,X1,X4,X5] :
( vtcheck(vbind(X3,X1,X2),vabs(X3,X4,veabs),X5)
| ~ vtcheck(X2,vabs(X3,X4,veabs),X5)
| visFreeVar(X3,vabs(X3,X4,veabs)) ),
inference(equality_resolution,[],[f128]) ).
fof(f128,plain,
! [X2,X3,X0,X1,X4,X5] :
( vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
| ~ vtcheck(X2,vabs(X3,X4,veabs),X5)
| visFreeVar(X0,vabs(X3,X4,veabs))
| X0 != X3 ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0,X1,X2,X3,X4,X5] :
( vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
| ~ vtcheck(X2,vabs(X3,X4,veabs),X5)
| visFreeVar(X0,vabs(X3,X4,veabs))
| X0 != X3 ),
inference(flattening,[],[f95]) ).
fof(f95,plain,
! [X0,X1,X2,X3,X4,X5] :
( vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
| ~ vtcheck(X2,vabs(X3,X4,veabs),X5)
| visFreeVar(X0,vabs(X3,X4,veabs))
| X0 != X3 ),
inference(ennf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( vtcheck(X2,vabs(X3,X4,veabs),X5)
& ~ visFreeVar(X0,vabs(X3,X4,veabs))
& X0 = X3 )
=> vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5) ),
inference(rectify,[],[f59]) ).
fof(f59,axiom,
! [X8,X9,X19,X20,X34,X14] :
( ( vtcheck(X19,vabs(X20,X34,veabs),X14)
& ~ visFreeVar(X8,vabs(X20,X34,veabs))
& X8 = X20 )
=> vtcheck(vbind(X8,X9,X19),vabs(X20,X34,veabs),X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Weak-FreeVar-abs-2') ).
fof(f182,plain,
( ~ vtcheck(vbind(sK3,sK1,sK2),vabs(sK3,sK4,veabs),sK5)
| ~ spl6_1 ),
inference(superposition,[],[f108,f172]) ).
fof(f172,plain,
( sK0 = sK3
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f170,plain,
( spl6_1
<=> sK0 = sK3 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).
fof(f108,plain,
~ vtcheck(vbind(sK0,sK1,sK2),vabs(sK3,sK4,veabs),sK5),
inference(cnf_transformation,[],[f105]) ).
fof(f181,plain,
spl6_1,
inference(avatar_split_clause,[],[f180,f170]) ).
fof(f180,plain,
sK0 = sK3,
inference(subsumption_resolution,[],[f179,f106]) ).
fof(f106,plain,
~ visFreeVar(sK0,vabs(sK3,sK4,veabs)),
inference(cnf_transformation,[],[f105]) ).
fof(f179,plain,
( visFreeVar(sK0,vabs(sK3,sK4,veabs))
| sK0 = sK3 ),
inference(subsumption_resolution,[],[f178,f107]) ).
fof(f178,plain,
( ~ vtcheck(sK2,vabs(sK3,sK4,veabs),sK5)
| visFreeVar(sK0,vabs(sK3,sK4,veabs))
| sK0 = sK3 ),
inference(resolution,[],[f108,f129]) ).
fof(f129,plain,
! [X2,X3,X0,X1,X4,X5] :
( vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
| ~ vtcheck(X2,vabs(X3,X4,veabs),X5)
| visFreeVar(X0,vabs(X3,X4,veabs))
| X0 = X3 ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0,X1,X2,X3,X4,X5] :
( vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
| ~ vtcheck(X2,vabs(X3,X4,veabs),X5)
| visFreeVar(X0,vabs(X3,X4,veabs))
| X0 = X3 ),
inference(flattening,[],[f97]) ).
fof(f97,plain,
! [X0,X1,X2,X3,X4,X5] :
( vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
| ~ vtcheck(X2,vabs(X3,X4,veabs),X5)
| visFreeVar(X0,vabs(X3,X4,veabs))
| X0 = X3 ),
inference(ennf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( vtcheck(X2,vabs(X3,X4,veabs),X5)
& ~ visFreeVar(X0,vabs(X3,X4,veabs))
& X0 != X3 )
=> vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5) ),
inference(rectify,[],[f58]) ).
fof(f58,axiom,
! [X8,X9,X19,X20,X34,X14] :
( ( vtcheck(X19,vabs(X20,X34,veabs),X14)
& ~ visFreeVar(X8,vabs(X20,X34,veabs))
& X8 != X20 )
=> vtcheck(vbind(X8,X9,X19),vabs(X20,X34,veabs),X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Weak-FreeVar-abs-1') ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : COM125+1 : TPTP v8.2.0. Released v6.4.0.
% 0.09/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.11/0.33 % Computer : n019.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Sun May 19 10:18:53 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.33 This is a FOF_THM_RFO_SEQ problem
% 0.11/0.33 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.47/0.69 % (25556)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2996ds/34Mi)
% 0.47/0.69 % (25553)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2996ds/51Mi)
% 0.47/0.69 % (25558)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2996ds/83Mi)
% 0.47/0.69 % (25557)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.47/0.69 % (25559)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.47/0.69 % (25552)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2996ds/34Mi)
% 0.47/0.69 % (25554)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.47/0.69 % (25555)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.47/0.69 % (25559)Refutation not found, incomplete strategy% (25559)------------------------------
% 0.47/0.69 % (25559)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.47/0.69 % (25559)Termination reason: Refutation not found, incomplete strategy
% 0.47/0.69
% 0.47/0.69 % (25559)Memory used [KB]: 1094
% 0.47/0.69 % (25559)Time elapsed: 0.003 s
% 0.47/0.69 % (25559)Instructions burned: 4 (million)
% 0.47/0.69 % (25559)------------------------------
% 0.47/0.69 % (25559)------------------------------
% 0.47/0.69 % (25557)First to succeed.
% 0.47/0.69 % (25556)Refutation not found, incomplete strategy% (25556)------------------------------
% 0.47/0.69 % (25556)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.47/0.69 % (25556)Termination reason: Refutation not found, incomplete strategy
% 0.47/0.69
% 0.47/0.69 % (25556)Memory used [KB]: 1403
% 0.47/0.69 % (25556)Time elapsed: 0.005 s
% 0.47/0.69 % (25556)Instructions burned: 15 (million)
% 0.47/0.69 % (25556)------------------------------
% 0.47/0.69 % (25556)------------------------------
% 0.47/0.69 % (25557)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-25551"
% 0.47/0.69 % (25557)Refutation found. Thanks to Tanya!
% 0.47/0.69 % SZS status Theorem for theBenchmark
% 0.47/0.69 % SZS output start Proof for theBenchmark
% See solution above
% 0.47/0.69 % (25557)------------------------------
% 0.47/0.69 % (25557)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.47/0.69 % (25557)Termination reason: Refutation
% 0.47/0.69
% 0.47/0.69 % (25557)Memory used [KB]: 1153
% 0.47/0.69 % (25557)Time elapsed: 0.005 s
% 0.47/0.69 % (25557)Instructions burned: 6 (million)
% 0.47/0.69 % (25551)Success in time 0.351 s
% 0.47/0.70 % Vampire---4.8 exiting
%------------------------------------------------------------------------------