TSTP Solution File: SEU223+3 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU223+3 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n015.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 : Wed May 1 03:50:52 EDT 2024
% Result : Theorem 0.61s 0.81s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 6
% Syntax : Number of formulae : 40 ( 10 unt; 0 def)
% Number of atoms : 173 ( 47 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 230 ( 97 ~; 79 |; 40 &)
% ( 4 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 75 ( 62 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f266,plain,
$false,
inference(subsumption_resolution,[],[f265,f158]) ).
fof(f158,plain,
relation(sK13),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
( apply(relation_dom_restriction(sK13,sK11),sK12) != apply(sK13,sK12)
& in(sK12,relation_dom(relation_dom_restriction(sK13,sK11)))
& function(sK13)
& relation(sK13) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12,sK13])],[f73,f98]) ).
fof(f98,plain,
( ? [X0,X1,X2] :
( apply(relation_dom_restriction(X2,X0),X1) != apply(X2,X1)
& in(X1,relation_dom(relation_dom_restriction(X2,X0)))
& function(X2)
& relation(X2) )
=> ( apply(relation_dom_restriction(sK13,sK11),sK12) != apply(sK13,sK12)
& in(sK12,relation_dom(relation_dom_restriction(sK13,sK11)))
& function(sK13)
& relation(sK13) ) ),
introduced(choice_axiom,[]) ).
fof(f73,plain,
? [X0,X1,X2] :
( apply(relation_dom_restriction(X2,X0),X1) != apply(X2,X1)
& in(X1,relation_dom(relation_dom_restriction(X2,X0)))
& function(X2)
& relation(X2) ),
inference(flattening,[],[f72]) ).
fof(f72,plain,
? [X0,X1,X2] :
( apply(relation_dom_restriction(X2,X0),X1) != apply(X2,X1)
& in(X1,relation_dom(relation_dom_restriction(X2,X0)))
& function(X2)
& relation(X2) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,negated_conjecture,
~ ! [X0,X1,X2] :
( ( function(X2)
& relation(X2) )
=> ( in(X1,relation_dom(relation_dom_restriction(X2,X0)))
=> apply(relation_dom_restriction(X2,X0),X1) = apply(X2,X1) ) ),
inference(negated_conjecture,[],[f38]) ).
fof(f38,conjecture,
! [X0,X1,X2] :
( ( function(X2)
& relation(X2) )
=> ( in(X1,relation_dom(relation_dom_restriction(X2,X0)))
=> apply(relation_dom_restriction(X2,X0),X1) = apply(X2,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.nWifnGBQuy/Vampire---4.8_13292',t70_funct_1) ).
fof(f265,plain,
~ relation(sK13),
inference(subsumption_resolution,[],[f261,f159]) ).
fof(f159,plain,
function(sK13),
inference(cnf_transformation,[],[f99]) ).
fof(f261,plain,
( ~ function(sK13)
| ~ relation(sK13) ),
inference(resolution,[],[f260,f134]) ).
fof(f134,plain,
! [X0,X1] :
( relation(relation_dom_restriction(X0,X1))
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0,X1] :
( ( function(relation_dom_restriction(X0,X1))
& relation(relation_dom_restriction(X0,X1)) )
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f65]) ).
fof(f65,plain,
! [X0,X1] :
( ( function(relation_dom_restriction(X0,X1))
& relation(relation_dom_restriction(X0,X1)) )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0,X1] :
( ( function(X0)
& relation(X0) )
=> ( function(relation_dom_restriction(X0,X1))
& relation(relation_dom_restriction(X0,X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.nWifnGBQuy/Vampire---4.8_13292',fc4_funct_1) ).
fof(f260,plain,
~ relation(relation_dom_restriction(sK13,sK11)),
inference(subsumption_resolution,[],[f259,f203]) ).
fof(f203,plain,
! [X0] : function(relation_dom_restriction(sK13,X0)),
inference(subsumption_resolution,[],[f186,f159]) ).
fof(f186,plain,
! [X0] :
( function(relation_dom_restriction(sK13,X0))
| ~ function(sK13) ),
inference(resolution,[],[f158,f135]) ).
fof(f135,plain,
! [X0,X1] :
( function(relation_dom_restriction(X0,X1))
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f259,plain,
( ~ function(relation_dom_restriction(sK13,sK11))
| ~ relation(relation_dom_restriction(sK13,sK11)) ),
inference(subsumption_resolution,[],[f258,f158]) ).
fof(f258,plain,
( ~ relation(sK13)
| ~ function(relation_dom_restriction(sK13,sK11))
| ~ relation(relation_dom_restriction(sK13,sK11)) ),
inference(subsumption_resolution,[],[f257,f159]) ).
fof(f257,plain,
( ~ function(sK13)
| ~ relation(sK13)
| ~ function(relation_dom_restriction(sK13,sK11))
| ~ relation(relation_dom_restriction(sK13,sK11)) ),
inference(subsumption_resolution,[],[f254,f160]) ).
fof(f160,plain,
in(sK12,relation_dom(relation_dom_restriction(sK13,sK11))),
inference(cnf_transformation,[],[f99]) ).
fof(f254,plain,
( ~ in(sK12,relation_dom(relation_dom_restriction(sK13,sK11)))
| ~ function(sK13)
| ~ relation(sK13)
| ~ function(relation_dom_restriction(sK13,sK11))
| ~ relation(relation_dom_restriction(sK13,sK11)) ),
inference(resolution,[],[f230,f177]) ).
fof(f177,plain,
! [X2,X0,X4] :
( sQ15_eqProxy(apply(X2,X4),apply(relation_dom_restriction(X2,X0),X4))
| ~ in(X4,relation_dom(relation_dom_restriction(X2,X0)))
| ~ function(X2)
| ~ relation(X2)
| ~ function(relation_dom_restriction(X2,X0))
| ~ relation(relation_dom_restriction(X2,X0)) ),
inference(equality_proxy_replacement,[],[f166,f168]) ).
fof(f168,plain,
! [X0,X1] :
( sQ15_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ15_eqProxy])]) ).
fof(f166,plain,
! [X2,X0,X4] :
( apply(X2,X4) = apply(relation_dom_restriction(X2,X0),X4)
| ~ in(X4,relation_dom(relation_dom_restriction(X2,X0)))
| ~ function(X2)
| ~ relation(X2)
| ~ function(relation_dom_restriction(X2,X0))
| ~ relation(relation_dom_restriction(X2,X0)) ),
inference(equality_resolution,[],[f163]) ).
fof(f163,plain,
! [X2,X0,X1,X4] :
( apply(X1,X4) = apply(X2,X4)
| ~ in(X4,relation_dom(X1))
| relation_dom_restriction(X2,X0) != X1
| ~ function(X2)
| ~ relation(X2)
| ~ function(X1)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0,X1] :
( ! [X2] :
( ( ( relation_dom_restriction(X2,X0) = X1
| ( apply(X1,sK14(X1,X2)) != apply(X2,sK14(X1,X2))
& in(sK14(X1,X2),relation_dom(X1)) )
| relation_dom(X1) != set_intersection2(relation_dom(X2),X0) )
& ( ( ! [X4] :
( apply(X1,X4) = apply(X2,X4)
| ~ in(X4,relation_dom(X1)) )
& relation_dom(X1) = set_intersection2(relation_dom(X2),X0) )
| relation_dom_restriction(X2,X0) != X1 ) )
| ~ function(X2)
| ~ relation(X2) )
| ~ function(X1)
| ~ relation(X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f102,f103]) ).
fof(f103,plain,
! [X1,X2] :
( ? [X3] :
( apply(X1,X3) != apply(X2,X3)
& in(X3,relation_dom(X1)) )
=> ( apply(X1,sK14(X1,X2)) != apply(X2,sK14(X1,X2))
& in(sK14(X1,X2),relation_dom(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f102,plain,
! [X0,X1] :
( ! [X2] :
( ( ( relation_dom_restriction(X2,X0) = X1
| ? [X3] :
( apply(X1,X3) != apply(X2,X3)
& in(X3,relation_dom(X1)) )
| relation_dom(X1) != set_intersection2(relation_dom(X2),X0) )
& ( ( ! [X4] :
( apply(X1,X4) = apply(X2,X4)
| ~ in(X4,relation_dom(X1)) )
& relation_dom(X1) = set_intersection2(relation_dom(X2),X0) )
| relation_dom_restriction(X2,X0) != X1 ) )
| ~ function(X2)
| ~ relation(X2) )
| ~ function(X1)
| ~ relation(X1) ),
inference(rectify,[],[f101]) ).
fof(f101,plain,
! [X0,X1] :
( ! [X2] :
( ( ( relation_dom_restriction(X2,X0) = X1
| ? [X3] :
( apply(X1,X3) != apply(X2,X3)
& in(X3,relation_dom(X1)) )
| relation_dom(X1) != set_intersection2(relation_dom(X2),X0) )
& ( ( ! [X3] :
( apply(X1,X3) = apply(X2,X3)
| ~ in(X3,relation_dom(X1)) )
& relation_dom(X1) = set_intersection2(relation_dom(X2),X0) )
| relation_dom_restriction(X2,X0) != X1 ) )
| ~ function(X2)
| ~ relation(X2) )
| ~ function(X1)
| ~ relation(X1) ),
inference(flattening,[],[f100]) ).
fof(f100,plain,
! [X0,X1] :
( ! [X2] :
( ( ( relation_dom_restriction(X2,X0) = X1
| ? [X3] :
( apply(X1,X3) != apply(X2,X3)
& in(X3,relation_dom(X1)) )
| relation_dom(X1) != set_intersection2(relation_dom(X2),X0) )
& ( ( ! [X3] :
( apply(X1,X3) = apply(X2,X3)
| ~ in(X3,relation_dom(X1)) )
& relation_dom(X1) = set_intersection2(relation_dom(X2),X0) )
| relation_dom_restriction(X2,X0) != X1 ) )
| ~ function(X2)
| ~ relation(X2) )
| ~ function(X1)
| ~ relation(X1) ),
inference(nnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0,X1] :
( ! [X2] :
( ( relation_dom_restriction(X2,X0) = X1
<=> ( ! [X3] :
( apply(X1,X3) = apply(X2,X3)
| ~ in(X3,relation_dom(X1)) )
& relation_dom(X1) = set_intersection2(relation_dom(X2),X0) ) )
| ~ function(X2)
| ~ relation(X2) )
| ~ function(X1)
| ~ relation(X1) ),
inference(flattening,[],[f74]) ).
fof(f74,plain,
! [X0,X1] :
( ! [X2] :
( ( relation_dom_restriction(X2,X0) = X1
<=> ( ! [X3] :
( apply(X1,X3) = apply(X2,X3)
| ~ in(X3,relation_dom(X1)) )
& relation_dom(X1) = set_intersection2(relation_dom(X2),X0) ) )
| ~ function(X2)
| ~ relation(X2) )
| ~ function(X1)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ( relation_dom_restriction(X2,X0) = X1
<=> ( ! [X3] :
( in(X3,relation_dom(X1))
=> apply(X1,X3) = apply(X2,X3) )
& relation_dom(X1) = set_intersection2(relation_dom(X2),X0) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.nWifnGBQuy/Vampire---4.8_13292',t68_funct_1) ).
fof(f230,plain,
~ sQ15_eqProxy(apply(sK13,sK12),apply(relation_dom_restriction(sK13,sK11),sK12)),
inference(resolution,[],[f174,f180]) ).
fof(f180,plain,
! [X0,X1] :
( ~ sQ15_eqProxy(X0,X1)
| sQ15_eqProxy(X1,X0) ),
inference(equality_proxy_axiom,[],[f168]) ).
fof(f174,plain,
~ sQ15_eqProxy(apply(relation_dom_restriction(sK13,sK11),sK12),apply(sK13,sK12)),
inference(equality_proxy_replacement,[],[f161,f168]) ).
fof(f161,plain,
apply(relation_dom_restriction(sK13,sK11),sK12) != apply(sK13,sK12),
inference(cnf_transformation,[],[f99]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : SEU223+3 : TPTP v8.1.2. Released v3.2.0.
% 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
% 0.11/0.32 % Computer : n015.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Apr 30 16:33:33 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 This is a FOF_THM_RFO_SEQ problem
% 0.11/0.32 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.nWifnGBQuy/Vampire---4.8_13292
% 0.61/0.81 % (13407)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 (2995ds/34Mi)
% 0.61/0.81 % (13403)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 (2995ds/34Mi)
% 0.61/0.81 % (13406)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.61/0.81 % (13405)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.81 % (13404)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 (2995ds/51Mi)
% 0.61/0.81 % (13408)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.61/0.81 % (13409)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 (2995ds/83Mi)
% 0.61/0.81 % (13410)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 (2995ds/56Mi)
% 0.61/0.81 % (13407)First to succeed.
% 0.61/0.81 % (13410)Refutation not found, incomplete strategy% (13410)------------------------------
% 0.61/0.81 % (13410)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81 % (13410)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81
% 0.61/0.81 % (13410)Memory used [KB]: 1049
% 0.61/0.81 % (13410)Time elapsed: 0.003 s
% 0.61/0.81 % (13410)Instructions burned: 3 (million)
% 0.61/0.81 % (13410)------------------------------
% 0.61/0.81 % (13410)------------------------------
% 0.61/0.81 % (13409)Also succeeded, but the first one will report.
% 0.61/0.81 % (13407)Refutation found. Thanks to Tanya!
% 0.61/0.81 % SZS status Theorem for Vampire---4
% 0.61/0.81 % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.81 % (13407)------------------------------
% 0.61/0.81 % (13407)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81 % (13407)Termination reason: Refutation
% 0.61/0.81
% 0.61/0.81 % (13407)Memory used [KB]: 1068
% 0.61/0.81 % (13407)Time elapsed: 0.004 s
% 0.61/0.81 % (13407)Instructions burned: 6 (million)
% 0.61/0.81 % (13407)------------------------------
% 0.61/0.81 % (13407)------------------------------
% 0.61/0.81 % (13401)Success in time 0.478 s
% 0.61/0.81 % Vampire---4.8 exiting
%------------------------------------------------------------------------------