TSTP Solution File: SEU044+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU044+1 : TPTP v8.2.0. 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 : n026.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 : Tue May 21 03:44:33 EDT 2024
% Result : Theorem 0.57s 0.74s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 7
% Syntax : Number of formulae : 62 ( 5 unt; 0 def)
% Number of atoms : 220 ( 10 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 261 ( 103 ~; 107 |; 26 &)
% ( 13 <=>; 10 =>; 0 <=; 2 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 4 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 72 ( 66 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f323,plain,
$false,
inference(avatar_sat_refutation,[],[f125,f130,f131,f192,f235,f320]) ).
fof(f320,plain,
( ~ spl17_1
| spl17_3 ),
inference(avatar_contradiction_clause,[],[f319]) ).
fof(f319,plain,
( $false
| ~ spl17_1
| spl17_3 ),
inference(subsumption_resolution,[],[f318,f132]) ).
fof(f132,plain,
! [X0] : relation(relation_rng_restriction(X0,sK2)),
inference(unit_resulting_resolution,[],[f63,f75]) ).
fof(f75,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0,X1] :
( relation(X1)
=> relation(relation_rng_restriction(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_relat_1) ).
fof(f63,plain,
relation(sK2),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
? [X0,X1,X2] :
( ( in(X1,relation_dom(relation_rng_restriction(X0,X2)))
<~> ( in(apply(X2,X1),X0)
& in(X1,relation_dom(X2)) ) )
& function(X2)
& relation(X2) ),
inference(flattening,[],[f37]) ).
fof(f37,plain,
? [X0,X1,X2] :
( ( in(X1,relation_dom(relation_rng_restriction(X0,X2)))
<~> ( in(apply(X2,X1),X0)
& in(X1,relation_dom(X2)) ) )
& function(X2)
& relation(X2) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,negated_conjecture,
~ ! [X0,X1,X2] :
( ( function(X2)
& relation(X2) )
=> ( in(X1,relation_dom(relation_rng_restriction(X0,X2)))
<=> ( in(apply(X2,X1),X0)
& in(X1,relation_dom(X2)) ) ) ),
inference(negated_conjecture,[],[f33]) ).
fof(f33,conjecture,
! [X0,X1,X2] :
( ( function(X2)
& relation(X2) )
=> ( in(X1,relation_dom(relation_rng_restriction(X0,X2)))
<=> ( in(apply(X2,X1),X0)
& in(X1,relation_dom(X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t86_funct_1) ).
fof(f318,plain,
( ~ relation(relation_rng_restriction(sK0,sK2))
| ~ spl17_1
| spl17_3 ),
inference(subsumption_resolution,[],[f317,f236]) ).
fof(f236,plain,
( ! [X0] : ~ sP8(sK1,sK2,X0)
| spl17_3 ),
inference(unit_resulting_resolution,[],[f128,f77]) ).
fof(f77,plain,
! [X2,X0,X4] :
( ~ sP8(X4,X2,X0)
| in(X4,relation_dom(X2)) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1] :
( ! [X2] :
( ( relation_rng_restriction(X0,X2) = X1
<=> ( ! [X3] :
( apply(X2,X3) = apply(X1,X3)
| ~ in(X3,relation_dom(X1)) )
& ! [X4] :
( in(X4,relation_dom(X1))
<=> ( in(apply(X2,X4),X0)
& in(X4,relation_dom(X2)) ) ) ) )
| ~ function(X2)
| ~ relation(X2) )
| ~ function(X1)
| ~ relation(X1) ),
inference(flattening,[],[f46]) ).
fof(f46,plain,
! [X0,X1] :
( ! [X2] :
( ( relation_rng_restriction(X0,X2) = X1
<=> ( ! [X3] :
( apply(X2,X3) = apply(X1,X3)
| ~ in(X3,relation_dom(X1)) )
& ! [X4] :
( in(X4,relation_dom(X1))
<=> ( in(apply(X2,X4),X0)
& in(X4,relation_dom(X2)) ) ) ) )
| ~ function(X2)
| ~ relation(X2) )
| ~ function(X1)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ( relation_rng_restriction(X0,X2) = X1
<=> ( ! [X3] :
( in(X3,relation_dom(X1))
=> apply(X2,X3) = apply(X1,X3) )
& ! [X4] :
( in(X4,relation_dom(X1))
<=> ( in(apply(X2,X4),X0)
& in(X4,relation_dom(X2)) ) ) ) ) ) ),
inference(rectify,[],[f35]) ).
fof(f35,axiom,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ( relation_rng_restriction(X0,X2) = X1
<=> ( ! [X3] :
( in(X3,relation_dom(X1))
=> apply(X2,X3) = apply(X1,X3) )
& ! [X3] :
( in(X3,relation_dom(X1))
<=> ( in(apply(X2,X3),X0)
& in(X3,relation_dom(X2)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t85_funct_1) ).
fof(f128,plain,
( ~ in(sK1,relation_dom(sK2))
| spl17_3 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f127,plain,
( spl17_3
<=> in(sK1,relation_dom(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_3])]) ).
fof(f317,plain,
( sP8(sK1,sK2,sK0)
| ~ relation(relation_rng_restriction(sK0,sK2))
| ~ spl17_1 ),
inference(subsumption_resolution,[],[f316,f64]) ).
fof(f64,plain,
function(sK2),
inference(cnf_transformation,[],[f38]) ).
fof(f316,plain,
( ~ function(sK2)
| sP8(sK1,sK2,sK0)
| ~ relation(relation_rng_restriction(sK0,sK2))
| ~ spl17_1 ),
inference(subsumption_resolution,[],[f315,f63]) ).
fof(f315,plain,
( ~ relation(sK2)
| ~ function(sK2)
| sP8(sK1,sK2,sK0)
| ~ relation(relation_rng_restriction(sK0,sK2))
| ~ spl17_1 ),
inference(subsumption_resolution,[],[f297,f134]) ).
fof(f134,plain,
! [X0] : function(relation_rng_restriction(X0,sK2)),
inference(unit_resulting_resolution,[],[f63,f64,f74]) ).
fof(f74,plain,
! [X0,X1] :
( function(relation_rng_restriction(X0,X1))
| ~ function(X1)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1] :
( ( function(relation_rng_restriction(X0,X1))
& relation(relation_rng_restriction(X0,X1)) )
| ~ function(X1)
| ~ relation(X1) ),
inference(flattening,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
( ( function(relation_rng_restriction(X0,X1))
& relation(relation_rng_restriction(X0,X1)) )
| ~ function(X1)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ( function(relation_rng_restriction(X0,X1))
& relation(relation_rng_restriction(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_funct_1) ).
fof(f297,plain,
( ~ function(relation_rng_restriction(sK0,sK2))
| ~ relation(sK2)
| ~ function(sK2)
| sP8(sK1,sK2,sK0)
| ~ relation(relation_rng_restriction(sK0,sK2))
| ~ spl17_1 ),
inference(resolution,[],[f120,f113]) ).
fof(f113,plain,
! [X2,X0,X4] :
( ~ in(X4,relation_dom(relation_rng_restriction(X0,X2)))
| ~ function(relation_rng_restriction(X0,X2))
| ~ relation(X2)
| ~ function(X2)
| sP8(X4,X2,X0)
| ~ relation(relation_rng_restriction(X0,X2)) ),
inference(equality_resolution,[],[f85]) ).
fof(f85,plain,
! [X2,X0,X1,X4] :
( ~ relation(X1)
| ~ function(X1)
| ~ relation(X2)
| ~ function(X2)
| sP8(X4,X2,X0)
| ~ in(X4,relation_dom(X1))
| relation_rng_restriction(X0,X2) != X1 ),
inference(cnf_transformation,[],[f47]) ).
fof(f120,plain,
( in(sK1,relation_dom(relation_rng_restriction(sK0,sK2)))
| ~ spl17_1 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f118,plain,
( spl17_1
<=> in(sK1,relation_dom(relation_rng_restriction(sK0,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_1])]) ).
fof(f235,plain,
( ~ spl17_1
| spl17_2 ),
inference(avatar_contradiction_clause,[],[f234]) ).
fof(f234,plain,
( $false
| ~ spl17_1
| spl17_2 ),
inference(subsumption_resolution,[],[f233,f120]) ).
fof(f233,plain,
( ~ in(sK1,relation_dom(relation_rng_restriction(sK0,sK2)))
| spl17_2 ),
inference(unit_resulting_resolution,[],[f64,f63,f132,f134,f205,f113]) ).
fof(f205,plain,
( ~ sP8(sK1,sK2,sK0)
| spl17_2 ),
inference(unit_resulting_resolution,[],[f123,f78]) ).
fof(f78,plain,
! [X2,X0,X4] :
( in(apply(X2,X4),X0)
| ~ sP8(X4,X2,X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f123,plain,
( ~ in(apply(sK2,sK1),sK0)
| spl17_2 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f122,plain,
( spl17_2
<=> in(apply(sK2,sK1),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_2])]) ).
fof(f192,plain,
( spl17_1
| ~ spl17_2
| ~ spl17_3 ),
inference(avatar_contradiction_clause,[],[f191]) ).
fof(f191,plain,
( $false
| spl17_1
| ~ spl17_2
| ~ spl17_3 ),
inference(subsumption_resolution,[],[f190,f132]) ).
fof(f190,plain,
( ~ relation(relation_rng_restriction(sK0,sK2))
| spl17_1
| ~ spl17_2
| ~ spl17_3 ),
inference(subsumption_resolution,[],[f189,f159]) ).
fof(f159,plain,
( sP8(sK1,sK2,sK0)
| ~ spl17_2
| ~ spl17_3 ),
inference(unit_resulting_resolution,[],[f129,f124,f76]) ).
fof(f76,plain,
! [X2,X0,X4] :
( ~ in(apply(X2,X4),X0)
| ~ in(X4,relation_dom(X2))
| sP8(X4,X2,X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f124,plain,
( in(apply(sK2,sK1),sK0)
| ~ spl17_2 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f129,plain,
( in(sK1,relation_dom(sK2))
| ~ spl17_3 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f189,plain,
( ~ sP8(sK1,sK2,sK0)
| ~ relation(relation_rng_restriction(sK0,sK2))
| spl17_1 ),
inference(subsumption_resolution,[],[f188,f64]) ).
fof(f188,plain,
( ~ function(sK2)
| ~ sP8(sK1,sK2,sK0)
| ~ relation(relation_rng_restriction(sK0,sK2))
| spl17_1 ),
inference(subsumption_resolution,[],[f187,f63]) ).
fof(f187,plain,
( ~ relation(sK2)
| ~ function(sK2)
| ~ sP8(sK1,sK2,sK0)
| ~ relation(relation_rng_restriction(sK0,sK2))
| spl17_1 ),
inference(subsumption_resolution,[],[f184,f134]) ).
fof(f184,plain,
( ~ function(relation_rng_restriction(sK0,sK2))
| ~ relation(sK2)
| ~ function(sK2)
| ~ sP8(sK1,sK2,sK0)
| ~ relation(relation_rng_restriction(sK0,sK2))
| spl17_1 ),
inference(resolution,[],[f119,f114]) ).
fof(f114,plain,
! [X2,X0,X4] :
( in(X4,relation_dom(relation_rng_restriction(X0,X2)))
| ~ function(relation_rng_restriction(X0,X2))
| ~ relation(X2)
| ~ function(X2)
| ~ sP8(X4,X2,X0)
| ~ relation(relation_rng_restriction(X0,X2)) ),
inference(equality_resolution,[],[f84]) ).
fof(f84,plain,
! [X2,X0,X1,X4] :
( ~ relation(X1)
| ~ function(X1)
| ~ relation(X2)
| ~ function(X2)
| ~ sP8(X4,X2,X0)
| in(X4,relation_dom(X1))
| relation_rng_restriction(X0,X2) != X1 ),
inference(cnf_transformation,[],[f47]) ).
fof(f119,plain,
( ~ in(sK1,relation_dom(relation_rng_restriction(sK0,sK2)))
| spl17_1 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f131,plain,
( ~ spl17_1
| ~ spl17_2
| ~ spl17_3 ),
inference(avatar_split_clause,[],[f60,f127,f122,f118]) ).
fof(f60,plain,
( ~ in(sK1,relation_dom(sK2))
| ~ in(apply(sK2,sK1),sK0)
| ~ in(sK1,relation_dom(relation_rng_restriction(sK0,sK2))) ),
inference(cnf_transformation,[],[f38]) ).
fof(f130,plain,
( spl17_1
| spl17_3 ),
inference(avatar_split_clause,[],[f61,f127,f118]) ).
fof(f61,plain,
( in(sK1,relation_dom(sK2))
| in(sK1,relation_dom(relation_rng_restriction(sK0,sK2))) ),
inference(cnf_transformation,[],[f38]) ).
fof(f125,plain,
( spl17_1
| spl17_2 ),
inference(avatar_split_clause,[],[f62,f122,f118]) ).
fof(f62,plain,
( in(apply(sK2,sK1),sK0)
| in(sK1,relation_dom(relation_rng_restriction(sK0,sK2))) ),
inference(cnf_transformation,[],[f38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU044+1 : TPTP v8.2.0. Released v3.2.0.
% 0.12/0.14 % 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
% 0.15/0.34 % Computer : n026.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Sun May 19 15:26:08 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.35 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/benchmark/theBenchmark.p
% 0.57/0.73 % (9071)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)
% 0.57/0.73 % (9073)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)
% 0.57/0.73 % (9072)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)
% 0.57/0.73 % (9069)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)
% 0.57/0.73 % (9066)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)
% 0.57/0.73 % (9067)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)
% 0.57/0.73 % (9070)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)
% 0.57/0.73 % (9068)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.57/0.73 % (9073)Refutation not found, incomplete strategy% (9073)------------------------------
% 0.57/0.73 % (9073)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.73 % (9073)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.73
% 0.57/0.73 % (9073)Memory used [KB]: 1053
% 0.57/0.73 % (9073)Time elapsed: 0.004 s
% 0.57/0.73 % (9073)Instructions burned: 4 (million)
% 0.57/0.73 % (9073)------------------------------
% 0.57/0.73 % (9073)------------------------------
% 0.57/0.74 % (9070)Refutation not found, incomplete strategy% (9070)------------------------------
% 0.57/0.74 % (9070)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74 % (9070)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74
% 0.57/0.74 % (9070)Memory used [KB]: 1134
% 0.57/0.74 % (9070)Time elapsed: 0.005 s
% 0.57/0.74 % (9070)Instructions burned: 6 (million)
% 0.57/0.74 % (9070)------------------------------
% 0.57/0.74 % (9070)------------------------------
% 0.57/0.74 % (9072)First to succeed.
% 0.57/0.74 % (9069)Also succeeded, but the first one will report.
% 0.57/0.74 % (9072)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-9065"
% 0.57/0.74 % (9072)Refutation found. Thanks to Tanya!
% 0.57/0.74 % SZS status Theorem for theBenchmark
% 0.57/0.74 % SZS output start Proof for theBenchmark
% See solution above
% 0.57/0.74 % (9072)------------------------------
% 0.57/0.74 % (9072)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74 % (9072)Termination reason: Refutation
% 0.57/0.74
% 0.57/0.74 % (9072)Memory used [KB]: 1166
% 0.57/0.74 % (9072)Time elapsed: 0.008 s
% 0.57/0.74 % (9072)Instructions burned: 11 (million)
% 0.57/0.74 % (9065)Success in time 0.381 s
% 0.57/0.74 % Vampire---4.8 exiting
%------------------------------------------------------------------------------