TSTP Solution File: SEU126+2 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU126+2 : TPTP v8.1.2. Released v3.3.0.
% 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 : n011.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 09:20:21 EDT 2024
% Result : Theorem 0.56s 0.75s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of formulae : 53 ( 9 unt; 0 def)
% Number of atoms : 192 ( 24 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 223 ( 84 ~; 82 |; 42 &)
% ( 8 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-3 aty)
% Number of variables : 94 ( 83 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f323,plain,
$false,
inference(avatar_sat_refutation,[],[f183,f311,f322]) ).
fof(f322,plain,
spl11_2,
inference(avatar_contradiction_clause,[],[f321]) ).
fof(f321,plain,
( $false
| spl11_2 ),
inference(subsumption_resolution,[],[f320,f121]) ).
fof(f121,plain,
subset(sK6,sK7),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
( sK7 != set_union2(sK6,sK7)
& subset(sK6,sK7) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f45,f81]) ).
fof(f81,plain,
( ? [X0,X1] :
( set_union2(X0,X1) != X1
& subset(X0,X1) )
=> ( sK7 != set_union2(sK6,sK7)
& subset(sK6,sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
? [X0,X1] :
( set_union2(X0,X1) != X1
& subset(X0,X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,negated_conjecture,
~ ! [X0,X1] :
( subset(X0,X1)
=> set_union2(X0,X1) = X1 ),
inference(negated_conjecture,[],[f22]) ).
fof(f22,conjecture,
! [X0,X1] :
( subset(X0,X1)
=> set_union2(X0,X1) = X1 ),
file('/export/starexec/sandbox/tmp/tmp.Oy9wuABV2N/Vampire---4.8_14545',t12_xboole_1) ).
fof(f320,plain,
( ~ subset(sK6,sK7)
| spl11_2 ),
inference(subsumption_resolution,[],[f316,f119]) ).
fof(f119,plain,
! [X0] : subset(X0,X0),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0] : subset(X0,X0),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X0,X1] : subset(X0,X0),
file('/export/starexec/sandbox/tmp/tmp.Oy9wuABV2N/Vampire---4.8_14545',reflexivity_r1_tarski) ).
fof(f316,plain,
( ~ subset(sK7,sK7)
| ~ subset(sK6,sK7)
| spl11_2 ),
inference(resolution,[],[f182,f136]) ).
fof(f136,plain,
! [X2,X0,X1] :
( subset(set_union2(X0,X2),X1)
| ~ subset(X2,X1)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1,X2] :
( subset(set_union2(X0,X2),X1)
| ~ subset(X2,X1)
| ~ subset(X0,X1) ),
inference(flattening,[],[f54]) ).
fof(f54,plain,
! [X0,X1,X2] :
( subset(set_union2(X0,X2),X1)
| ~ subset(X2,X1)
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0,X1,X2] :
( ( subset(X2,X1)
& subset(X0,X1) )
=> subset(set_union2(X0,X2),X1) ),
file('/export/starexec/sandbox/tmp/tmp.Oy9wuABV2N/Vampire---4.8_14545',t8_xboole_1) ).
fof(f182,plain,
( ~ subset(set_union2(sK6,sK7),sK7)
| spl11_2 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f180,plain,
( spl11_2
<=> subset(set_union2(sK6,sK7),sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).
fof(f311,plain,
spl11_1,
inference(avatar_contradiction_clause,[],[f310]) ).
fof(f310,plain,
( $false
| spl11_1 ),
inference(subsumption_resolution,[],[f304,f189]) ).
fof(f189,plain,
( in(sK2(sK7,set_union2(sK6,sK7)),sK7)
| spl11_1 ),
inference(resolution,[],[f178,f102]) ).
fof(f102,plain,
! [X0,X1] :
( subset(X0,X1)
| in(sK2(X0,X1),X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK2(X0,X1),X1)
& in(sK2(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f68,f69]) ).
fof(f69,plain,
! [X0,X1] :
( ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) )
=> ( ~ in(sK2(X0,X1),X1)
& in(sK2(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f68,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f67]) ).
fof(f67,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.Oy9wuABV2N/Vampire---4.8_14545',d3_tarski) ).
fof(f178,plain,
( ~ subset(sK7,set_union2(sK6,sK7))
| spl11_1 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f176,plain,
( spl11_1
<=> subset(sK7,set_union2(sK6,sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).
fof(f304,plain,
( ~ in(sK2(sK7,set_union2(sK6,sK7)),sK7)
| spl11_1 ),
inference(resolution,[],[f190,f140]) ).
fof(f140,plain,
! [X0,X1,X4] :
( in(X4,set_union2(X0,X1))
| ~ in(X4,X1) ),
inference(equality_resolution,[],[f97]) ).
fof(f97,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| ~ in(X4,X1)
| set_union2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0,X1,X2] :
( ( set_union2(X0,X1) = X2
| ( ( ( ~ in(sK1(X0,X1,X2),X1)
& ~ in(sK1(X0,X1,X2),X0) )
| ~ in(sK1(X0,X1,X2),X2) )
& ( in(sK1(X0,X1,X2),X1)
| in(sK1(X0,X1,X2),X0)
| in(sK1(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ( ~ in(X4,X1)
& ~ in(X4,X0) ) )
& ( in(X4,X1)
| in(X4,X0)
| ~ in(X4,X2) ) )
| set_union2(X0,X1) != X2 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f64,f65]) ).
fof(f65,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ( ~ in(X3,X1)
& ~ in(X3,X0) )
| ~ in(X3,X2) )
& ( in(X3,X1)
| in(X3,X0)
| in(X3,X2) ) )
=> ( ( ( ~ in(sK1(X0,X1,X2),X1)
& ~ in(sK1(X0,X1,X2),X0) )
| ~ in(sK1(X0,X1,X2),X2) )
& ( in(sK1(X0,X1,X2),X1)
| in(sK1(X0,X1,X2),X0)
| in(sK1(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f64,plain,
! [X0,X1,X2] :
( ( set_union2(X0,X1) = X2
| ? [X3] :
( ( ( ~ in(X3,X1)
& ~ in(X3,X0) )
| ~ in(X3,X2) )
& ( in(X3,X1)
| in(X3,X0)
| in(X3,X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ( ~ in(X4,X1)
& ~ in(X4,X0) ) )
& ( in(X4,X1)
| in(X4,X0)
| ~ in(X4,X2) ) )
| set_union2(X0,X1) != X2 ) ),
inference(rectify,[],[f63]) ).
fof(f63,plain,
! [X0,X1,X2] :
( ( set_union2(X0,X1) = X2
| ? [X3] :
( ( ( ~ in(X3,X1)
& ~ in(X3,X0) )
| ~ in(X3,X2) )
& ( in(X3,X1)
| in(X3,X0)
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ( ~ in(X3,X1)
& ~ in(X3,X0) ) )
& ( in(X3,X1)
| in(X3,X0)
| ~ in(X3,X2) ) )
| set_union2(X0,X1) != X2 ) ),
inference(flattening,[],[f62]) ).
fof(f62,plain,
! [X0,X1,X2] :
( ( set_union2(X0,X1) = X2
| ? [X3] :
( ( ( ~ in(X3,X1)
& ~ in(X3,X0) )
| ~ in(X3,X2) )
& ( in(X3,X1)
| in(X3,X0)
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ( ~ in(X3,X1)
& ~ in(X3,X0) ) )
& ( in(X3,X1)
| in(X3,X0)
| ~ in(X3,X2) ) )
| set_union2(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1,X2] :
( set_union2(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X1)
| in(X3,X0) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.Oy9wuABV2N/Vampire---4.8_14545',d2_xboole_0) ).
fof(f190,plain,
( ~ in(sK2(sK7,set_union2(sK6,sK7)),set_union2(sK6,sK7))
| spl11_1 ),
inference(resolution,[],[f178,f103]) ).
fof(f103,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ in(sK2(X0,X1),X1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f183,plain,
( ~ spl11_1
| ~ spl11_2 ),
inference(avatar_split_clause,[],[f172,f180,f176]) ).
fof(f172,plain,
( ~ subset(set_union2(sK6,sK7),sK7)
| ~ subset(sK7,set_union2(sK6,sK7)) ),
inference(resolution,[],[f161,f149]) ).
fof(f149,plain,
! [X0,X1] :
( sQ10_eqProxy(X0,X1)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(equality_proxy_replacement,[],[f92,f146]) ).
fof(f146,plain,
! [X0,X1] :
( sQ10_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ10_eqProxy])]) ).
fof(f92,plain,
! [X0,X1] :
( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) )
& ( ( subset(X1,X0)
& subset(X0,X1) )
| X0 != X1 ) ),
inference(flattening,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) )
& ( ( subset(X1,X0)
& subset(X0,X1) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( X0 = X1
<=> ( subset(X1,X0)
& subset(X0,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.Oy9wuABV2N/Vampire---4.8_14545',d10_xboole_0) ).
fof(f161,plain,
~ sQ10_eqProxy(sK7,set_union2(sK6,sK7)),
inference(equality_proxy_replacement,[],[f122,f146]) ).
fof(f122,plain,
sK7 != set_union2(sK6,sK7),
inference(cnf_transformation,[],[f82]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU126+2 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.14 % 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
% 0.15/0.35 % Computer : n011.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 11:48:34 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.Oy9wuABV2N/Vampire---4.8_14545
% 0.56/0.74 % (14661)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)
% 0.56/0.74 % (14655)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)
% 0.56/0.74 % (14656)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)
% 0.56/0.74 % (14659)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)
% 0.56/0.74 % (14658)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)
% 0.56/0.74 % (14660)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)
% 0.56/0.74 % (14662)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)
% 0.56/0.74 % (14659)First to succeed.
% 0.56/0.74 % (14659)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-14654"
% 0.56/0.74 % (14657)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.74 % (14661)Also succeeded, but the first one will report.
% 0.56/0.74 % (14655)Also succeeded, but the first one will report.
% 0.56/0.74 % (14662)Also succeeded, but the first one will report.
% 0.56/0.75 % (14659)Refutation found. Thanks to Tanya!
% 0.56/0.75 % SZS status Theorem for Vampire---4
% 0.56/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.75 % (14659)------------------------------
% 0.56/0.75 % (14659)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (14659)Termination reason: Refutation
% 0.56/0.75
% 0.56/0.75 % (14659)Memory used [KB]: 1083
% 0.56/0.75 % (14659)Time elapsed: 0.007 s
% 0.56/0.75 % (14659)Instructions burned: 8 (million)
% 0.56/0.75 % (14654)Success in time 0.375 s
% 0.56/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------