TSTP Solution File: SET722+4 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET722+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% 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 : n021.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 : Sun May 5 09:08:09 EDT 2024
% Result : Theorem 0.54s 0.74s
% Output : Refutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 3
% Syntax : Number of formulae : 33 ( 7 unt; 0 def)
% Number of atoms : 104 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 108 ( 37 ~; 32 |; 25 &)
% ( 7 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-5 aty)
% Number of variables : 109 ( 92 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f140,plain,
$false,
inference(subsumption_resolution,[],[f138,f118]) ).
fof(f118,plain,
apply(sK1,sK6(sK1,sK0,sK3,sK8(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK7(sK1,sK3,sK4)),sK7(sK1,sK3,sK4)),sK7(sK1,sK3,sK4)),
inference(unit_resulting_resolution,[],[f70,f105]) ).
fof(f105,plain,
! [X0] :
( apply(sK1,sK6(sK1,sK0,sK3,sK8(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,X0),X0),X0)
| ~ member(X0,sK4) ),
inference(subsumption_resolution,[],[f100,f71]) ).
fof(f71,plain,
! [X0] :
( member(sK8(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,X0),sK2)
| ~ member(X0,sK4) ),
inference(resolution,[],[f47,f57]) ).
fof(f57,plain,
! [X2,X3,X0,X1] :
( ~ surjective(X0,X1,X2)
| member(sK8(X0,X1,X3),X1)
| ~ member(X3,X2) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1,X2] :
( surjective(X0,X1,X2)
<=> ! [X3] :
( ? [X4] :
( apply(X0,X4,X3)
& member(X4,X1) )
| ~ member(X3,X2) ) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1,X2] :
( surjective(X0,X1,X2)
<=> ! [X3] :
( member(X3,X2)
=> ? [X4] :
( apply(X0,X4,X3)
& member(X4,X1) ) ) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X5,X0,X1] :
( surjective(X5,X0,X1)
<=> ! [X4] :
( member(X4,X1)
=> ? [X3] :
( apply(X5,X3,X4)
& member(X3,X0) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.C4UVasJkKk/Vampire---4.8_25960',surjective) ).
fof(f47,plain,
surjective(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK4),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
? [X0,X1,X2,X3,X4] :
( ~ surjective(X1,X3,X4)
& surjective(compose_function(X1,X0,X2,X3,X4),X2,X4)
& maps(X1,X3,X4)
& maps(X0,X2,X3) ),
inference(flattening,[],[f38]) ).
fof(f38,plain,
? [X0,X1,X2,X3,X4] :
( ~ surjective(X1,X3,X4)
& surjective(compose_function(X1,X0,X2,X3,X4),X2,X4)
& maps(X1,X3,X4)
& maps(X0,X2,X3) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,plain,
~ ! [X0,X1,X2,X3,X4] :
( ( surjective(compose_function(X1,X0,X2,X3,X4),X2,X4)
& maps(X1,X3,X4)
& maps(X0,X2,X3) )
=> surjective(X1,X3,X4) ),
inference(rectify,[],[f30]) ).
fof(f30,negated_conjecture,
~ ! [X5,X9,X0,X1,X10] :
( ( surjective(compose_function(X9,X5,X0,X1,X10),X0,X10)
& maps(X9,X1,X10)
& maps(X5,X0,X1) )
=> surjective(X9,X1,X10) ),
inference(negated_conjecture,[],[f29]) ).
fof(f29,conjecture,
! [X5,X9,X0,X1,X10] :
( ( surjective(compose_function(X9,X5,X0,X1,X10),X0,X10)
& maps(X9,X1,X10)
& maps(X5,X0,X1) )
=> surjective(X9,X1,X10) ),
file('/export/starexec/sandbox2/tmp/tmp.C4UVasJkKk/Vampire---4.8_25960',thII13) ).
fof(f100,plain,
! [X0] :
( ~ member(X0,sK4)
| apply(sK1,sK6(sK1,sK0,sK3,sK8(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,X0),X0),X0)
| ~ member(sK8(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,X0),sK2) ),
inference(duplicate_literal_removal,[],[f97]) ).
fof(f97,plain,
! [X0] :
( ~ member(X0,sK4)
| ~ member(X0,sK4)
| apply(sK1,sK6(sK1,sK0,sK3,sK8(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,X0),X0),X0)
| ~ member(sK8(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,X0),sK2) ),
inference(resolution,[],[f72,f54]) ).
fof(f54,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| ~ member(X6,X4)
| apply(X0,sK6(X0,X1,X3,X5,X6),X6)
| ~ member(X5,X2) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
<=> ? [X7] :
( apply(X0,X7,X6)
& apply(X1,X5,X7)
& member(X7,X3) ) )
| ~ member(X6,X4)
| ~ member(X5,X2) ),
inference(flattening,[],[f42]) ).
fof(f42,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
<=> ? [X7] :
( apply(X0,X7,X6)
& apply(X1,X5,X7)
& member(X7,X3) ) )
| ~ member(X6,X4)
| ~ member(X5,X2) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( member(X6,X4)
& member(X5,X2) )
=> ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
<=> ? [X7] :
( apply(X0,X7,X6)
& apply(X1,X5,X7)
& member(X7,X3) ) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X9,X5,X0,X1,X10,X2,X11] :
( ( member(X11,X10)
& member(X2,X0) )
=> ( apply(compose_function(X9,X5,X0,X1,X10),X2,X11)
<=> ? [X4] :
( apply(X9,X4,X11)
& apply(X5,X2,X4)
& member(X4,X1) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.C4UVasJkKk/Vampire---4.8_25960',compose_function) ).
fof(f72,plain,
! [X0] :
( apply(compose_function(sK1,sK0,sK2,sK3,sK4),sK8(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,X0),X0)
| ~ member(X0,sK4) ),
inference(resolution,[],[f47,f58]) ).
fof(f58,plain,
! [X2,X3,X0,X1] :
( ~ surjective(X0,X1,X2)
| apply(X0,sK8(X0,X1,X3),X3)
| ~ member(X3,X2) ),
inference(cnf_transformation,[],[f44]) ).
fof(f70,plain,
member(sK7(sK1,sK3,sK4),sK4),
inference(unit_resulting_resolution,[],[f48,f59]) ).
fof(f59,plain,
! [X2,X0,X1] :
( member(sK7(X0,X1,X2),X2)
| surjective(X0,X1,X2) ),
inference(cnf_transformation,[],[f44]) ).
fof(f48,plain,
~ surjective(sK1,sK3,sK4),
inference(cnf_transformation,[],[f39]) ).
fof(f138,plain,
~ apply(sK1,sK6(sK1,sK0,sK3,sK8(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK7(sK1,sK3,sK4)),sK7(sK1,sK3,sK4)),sK7(sK1,sK3,sK4)),
inference(unit_resulting_resolution,[],[f48,f107,f56]) ).
fof(f56,plain,
! [X2,X0,X1,X4] :
( ~ apply(X0,X4,sK7(X0,X1,X2))
| ~ member(X4,X1)
| surjective(X0,X1,X2) ),
inference(cnf_transformation,[],[f44]) ).
fof(f107,plain,
member(sK6(sK1,sK0,sK3,sK8(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK7(sK1,sK3,sK4)),sK7(sK1,sK3,sK4)),sK3),
inference(unit_resulting_resolution,[],[f70,f103]) ).
fof(f103,plain,
! [X0] :
( member(sK6(sK1,sK0,sK3,sK8(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,X0),X0),sK3)
| ~ member(X0,sK4) ),
inference(subsumption_resolution,[],[f102,f71]) ).
fof(f102,plain,
! [X0] :
( ~ member(X0,sK4)
| member(sK6(sK1,sK0,sK3,sK8(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,X0),X0),sK3)
| ~ member(sK8(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,X0),sK2) ),
inference(duplicate_literal_removal,[],[f95]) ).
fof(f95,plain,
! [X0] :
( ~ member(X0,sK4)
| ~ member(X0,sK4)
| member(sK6(sK1,sK0,sK3,sK8(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,X0),X0),sK3)
| ~ member(sK8(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,X0),sK2) ),
inference(resolution,[],[f72,f52]) ).
fof(f52,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| ~ member(X6,X4)
| member(sK6(X0,X1,X3,X5,X6),X3)
| ~ member(X5,X2) ),
inference(cnf_transformation,[],[f43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET722+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% 0.13/0.14 % 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
% 0.14/0.35 % Computer : n021.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 : Fri May 3 16:34:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.35 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/tmp/tmp.C4UVasJkKk/Vampire---4.8_25960
% 0.54/0.73 % (26076)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 Vampire---4 for (2996ds/83Mi)
% 0.54/0.73 % (26070)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 Vampire---4 for (2996ds/34Mi)
% 0.54/0.73 % (26072)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.54/0.73 % (26071)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 Vampire---4 for (2996ds/51Mi)
% 0.54/0.73 % (26074)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 Vampire---4 for (2996ds/34Mi)
% 0.54/0.73 % (26076)First to succeed.
% 0.54/0.74 % (26076)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-26069"
% 0.54/0.74 % (26074)Refutation not found, incomplete strategy% (26074)------------------------------
% 0.54/0.74 % (26074)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.74 % (26074)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.74
% 0.54/0.74 % (26074)Memory used [KB]: 1134
% 0.54/0.74 % (26074)Time elapsed: 0.005 s
% 0.54/0.74 % (26074)Instructions burned: 5 (million)
% 0.54/0.74 % (26076)Refutation found. Thanks to Tanya!
% 0.54/0.74 % SZS status Theorem for Vampire---4
% 0.54/0.74 % SZS output start Proof for Vampire---4
% See solution above
% 0.54/0.74 % (26076)------------------------------
% 0.54/0.74 % (26076)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.74 % (26076)Termination reason: Refutation
% 0.54/0.74
% 0.54/0.74 % (26076)Memory used [KB]: 1103
% 0.54/0.74 % (26076)Time elapsed: 0.005 s
% 0.54/0.74 % (26076)Instructions burned: 10 (million)
% 0.54/0.74 % (26069)Success in time 0.378 s
% 0.54/0.74 % Vampire---4.8 exiting
%------------------------------------------------------------------------------