TSTP Solution File: SEU056+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU056+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -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 : Sun May 5 09:20:06 EDT 2024
% Result : Theorem 0.57s 0.76s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 7
% Syntax : Number of formulae : 39 ( 19 unt; 0 def)
% Number of atoms : 93 ( 28 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 83 ( 29 ~; 19 |; 26 &)
% ( 1 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 54 ( 45 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f179,plain,
$false,
inference(subsumption_resolution,[],[f178,f174]) ).
fof(f174,plain,
empty_set = relation_image(sK2,empty_set),
inference(forward_demodulation,[],[f173,f129]) ).
fof(f129,plain,
! [X0] : empty_set = set_intersection2(empty_set,X0),
inference(superposition,[],[f106,f104]) ).
fof(f104,plain,
! [X0] : empty_set = set_intersection2(X0,empty_set),
inference(cnf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0] : empty_set = set_intersection2(X0,empty_set),
file('/export/starexec/sandbox/tmp/tmp.wf1a3h1rk3/Vampire---4.8_896',t2_boole) ).
fof(f106,plain,
! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
file('/export/starexec/sandbox/tmp/tmp.wf1a3h1rk3/Vampire---4.8_896',commutativity_k3_xboole_0) ).
fof(f173,plain,
! [X0] : empty_set = relation_image(sK2,set_intersection2(empty_set,X0)),
inference(forward_demodulation,[],[f172,f129]) ).
fof(f172,plain,
! [X0] : relation_image(sK2,set_intersection2(empty_set,X0)) = set_intersection2(empty_set,relation_image(sK2,X0)),
inference(subsumption_resolution,[],[f161,f75]) ).
fof(f75,plain,
relation(sK2),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
( ~ disjoint(relation_image(sK2,sK0),relation_image(sK2,sK1))
& one_to_one(sK2)
& disjoint(sK0,sK1)
& function(sK2)
& relation(sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f43,f56]) ).
fof(f56,plain,
( ? [X0,X1,X2] :
( ~ disjoint(relation_image(X2,X0),relation_image(X2,X1))
& one_to_one(X2)
& disjoint(X0,X1)
& function(X2)
& relation(X2) )
=> ( ~ disjoint(relation_image(sK2,sK0),relation_image(sK2,sK1))
& one_to_one(sK2)
& disjoint(sK0,sK1)
& function(sK2)
& relation(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
? [X0,X1,X2] :
( ~ disjoint(relation_image(X2,X0),relation_image(X2,X1))
& one_to_one(X2)
& disjoint(X0,X1)
& function(X2)
& relation(X2) ),
inference(flattening,[],[f42]) ).
fof(f42,plain,
? [X0,X1,X2] :
( ~ disjoint(relation_image(X2,X0),relation_image(X2,X1))
& one_to_one(X2)
& disjoint(X0,X1)
& function(X2)
& relation(X2) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,negated_conjecture,
~ ! [X0,X1,X2] :
( ( function(X2)
& relation(X2) )
=> ( ( one_to_one(X2)
& disjoint(X0,X1) )
=> disjoint(relation_image(X2,X0),relation_image(X2,X1)) ) ),
inference(negated_conjecture,[],[f27]) ).
fof(f27,conjecture,
! [X0,X1,X2] :
( ( function(X2)
& relation(X2) )
=> ( ( one_to_one(X2)
& disjoint(X0,X1) )
=> disjoint(relation_image(X2,X0),relation_image(X2,X1)) ) ),
file('/export/starexec/sandbox/tmp/tmp.wf1a3h1rk3/Vampire---4.8_896',t125_funct_1) ).
fof(f161,plain,
! [X0] :
( relation_image(sK2,set_intersection2(empty_set,X0)) = set_intersection2(empty_set,relation_image(sK2,X0))
| ~ relation(sK2) ),
inference(superposition,[],[f154,f93]) ).
fof(f93,plain,
! [X0] :
( empty_set = relation_image(X0,empty_set)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0] :
( empty_set = relation_image(X0,empty_set)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0] :
( relation(X0)
=> empty_set = relation_image(X0,empty_set) ),
file('/export/starexec/sandbox/tmp/tmp.wf1a3h1rk3/Vampire---4.8_896',t149_relat_1) ).
fof(f154,plain,
! [X0,X1] : relation_image(sK2,set_intersection2(X0,X1)) = set_intersection2(relation_image(sK2,X0),relation_image(sK2,X1)),
inference(subsumption_resolution,[],[f153,f75]) ).
fof(f153,plain,
! [X0,X1] :
( relation_image(sK2,set_intersection2(X0,X1)) = set_intersection2(relation_image(sK2,X0),relation_image(sK2,X1))
| ~ relation(sK2) ),
inference(subsumption_resolution,[],[f149,f76]) ).
fof(f76,plain,
function(sK2),
inference(cnf_transformation,[],[f57]) ).
fof(f149,plain,
! [X0,X1] :
( relation_image(sK2,set_intersection2(X0,X1)) = set_intersection2(relation_image(sK2,X0),relation_image(sK2,X1))
| ~ function(sK2)
| ~ relation(sK2) ),
inference(resolution,[],[f80,f78]) ).
fof(f78,plain,
one_to_one(sK2),
inference(cnf_transformation,[],[f57]) ).
fof(f80,plain,
! [X2,X0,X1] :
( ~ one_to_one(X2)
| relation_image(X2,set_intersection2(X0,X1)) = set_intersection2(relation_image(X2,X0),relation_image(X2,X1))
| ~ function(X2)
| ~ relation(X2) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X1,X2] :
( relation_image(X2,set_intersection2(X0,X1)) = set_intersection2(relation_image(X2,X0),relation_image(X2,X1))
| ~ one_to_one(X2)
| ~ function(X2)
| ~ relation(X2) ),
inference(flattening,[],[f44]) ).
fof(f44,plain,
! [X0,X1,X2] :
( relation_image(X2,set_intersection2(X0,X1)) = set_intersection2(relation_image(X2,X0),relation_image(X2,X1))
| ~ one_to_one(X2)
| ~ function(X2)
| ~ relation(X2) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0,X1,X2] :
( ( function(X2)
& relation(X2) )
=> ( one_to_one(X2)
=> relation_image(X2,set_intersection2(X0,X1)) = set_intersection2(relation_image(X2,X0),relation_image(X2,X1)) ) ),
file('/export/starexec/sandbox/tmp/tmp.wf1a3h1rk3/Vampire---4.8_896',t121_funct_1) ).
fof(f178,plain,
empty_set != relation_image(sK2,empty_set),
inference(forward_demodulation,[],[f166,f137]) ).
fof(f137,plain,
empty_set = set_intersection2(sK0,sK1),
inference(resolution,[],[f100,f77]) ).
fof(f77,plain,
disjoint(sK0,sK1),
inference(cnf_transformation,[],[f57]) ).
fof(f100,plain,
! [X0,X1] :
( ~ disjoint(X0,X1)
| set_intersection2(X0,X1) = empty_set ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0,X1] :
( ( disjoint(X0,X1)
| set_intersection2(X0,X1) != empty_set )
& ( set_intersection2(X0,X1) = empty_set
| ~ disjoint(X0,X1) ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] :
( disjoint(X0,X1)
<=> set_intersection2(X0,X1) = empty_set ),
file('/export/starexec/sandbox/tmp/tmp.wf1a3h1rk3/Vampire---4.8_896',d7_xboole_0) ).
fof(f166,plain,
empty_set != relation_image(sK2,set_intersection2(sK0,sK1)),
inference(superposition,[],[f139,f154]) ).
fof(f139,plain,
empty_set != set_intersection2(relation_image(sK2,sK0),relation_image(sK2,sK1)),
inference(resolution,[],[f101,f79]) ).
fof(f79,plain,
~ disjoint(relation_image(sK2,sK0),relation_image(sK2,sK1)),
inference(cnf_transformation,[],[f57]) ).
fof(f101,plain,
! [X0,X1] :
( disjoint(X0,X1)
| set_intersection2(X0,X1) != empty_set ),
inference(cnf_transformation,[],[f68]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU056+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -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 : Fri May 3 11:21:19 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.wf1a3h1rk3/Vampire---4.8_896
% 0.57/0.75 % (1196)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)
% 0.57/0.75 % (1198)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.75 % (1201)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.57/0.75 % (1200)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)
% 0.57/0.75 % (1197)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)
% 0.57/0.75 % (1199)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.57/0.75 % (1203)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.57/0.75 % (1202)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)
% 0.57/0.75 % (1196)Refutation not found, incomplete strategy% (1196)------------------------------
% 0.57/0.75 % (1196)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (1196)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (1196)Memory used [KB]: 993
% 0.57/0.75 % (1196)Time elapsed: 0.002 s
% 0.57/0.75 % (1196)Instructions burned: 3 (million)
% 0.57/0.75 % (1196)------------------------------
% 0.57/0.75 % (1196)------------------------------
% 0.57/0.75 % (1203)Refutation not found, incomplete strategy% (1203)------------------------------
% 0.57/0.75 % (1203)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (1203)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75 % (1201)Refutation not found, incomplete strategy% (1201)------------------------------
% 0.57/0.75 % (1201)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (1201)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (1201)Memory used [KB]: 978
% 0.57/0.75 % (1201)Time elapsed: 0.003 s
% 0.57/0.75 % (1201)Instructions burned: 3 (million)
% 0.57/0.75 % (1200)Refutation not found, incomplete strategy% (1200)------------------------------
% 0.57/0.75 % (1200)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75
% 0.57/0.75 % (1203)Memory used [KB]: 979
% 0.57/0.75 % (1203)Time elapsed: 0.003 s
% 0.57/0.75 % (1203)Instructions burned: 3 (million)
% 0.57/0.75 % (1200)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (1200)Memory used [KB]: 1051
% 0.57/0.75 % (1200)Time elapsed: 0.003 s
% 0.57/0.75 % (1200)Instructions burned: 3 (million)
% 0.57/0.75 % (1201)------------------------------
% 0.57/0.75 % (1201)------------------------------
% 0.57/0.75 % (1203)------------------------------
% 0.57/0.75 % (1203)------------------------------
% 0.57/0.75 % (1200)------------------------------
% 0.57/0.75 % (1200)------------------------------
% 0.57/0.75 % (1199)Refutation not found, incomplete strategy% (1199)------------------------------
% 0.57/0.75 % (1199)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (1199)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (1199)Memory used [KB]: 1047
% 0.57/0.75 % (1199)Time elapsed: 0.004 s
% 0.57/0.75 % (1199)Instructions burned: 4 (million)
% 0.57/0.75 % (1199)------------------------------
% 0.57/0.75 % (1199)------------------------------
% 0.57/0.75 % (1204)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.57/0.75 % (1198)First to succeed.
% 0.57/0.75 % (1198)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1186"
% 0.57/0.76 % (1198)Refutation found. Thanks to Tanya!
% 0.57/0.76 % SZS status Theorem for Vampire---4
% 0.57/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.76 % (1198)------------------------------
% 0.57/0.76 % (1198)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76 % (1198)Termination reason: Refutation
% 0.57/0.76
% 0.57/0.76 % (1198)Memory used [KB]: 1073
% 0.57/0.76 % (1198)Time elapsed: 0.006 s
% 0.57/0.76 % (1198)Instructions burned: 7 (million)
% 0.57/0.76 % (1186)Success in time 0.387 s
% 0.57/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------