TSTP Solution File: SEU531_8 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU531_8 : TPTP v8.2.0. Released v8.0.0.
% 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 : n016.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 03:49:24 EDT 2024
% Result : Theorem 0.56s 0.75s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 12
% Syntax : Number of formulae : 55 ( 17 unt; 1 typ; 0 def)
% Number of atoms : 283 ( 50 equ)
% Maximal formula atoms : 7 ( 5 avg)
% Number of connectives : 171 ( 58 ~; 49 |; 20 &)
% ( 8 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 144 ( 122 fml; 22 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 17 ( 14 usr; 13 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 83 ( 73 !; 9 ?; 32 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_4,type,
sQ3_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f96,plain,
$false,
inference(avatar_sat_refutation,[],[f53,f76,f77,f78,f92,f95]) ).
tff(f95,plain,
~ spl4_8,
inference(avatar_contradiction_clause,[],[f94]) ).
tff(f94,plain,
( $false
| ~ spl4_8 ),
inference(resolution,[],[f75,f42]) ).
tff(f42,plain,
~ sQ3_eqProxy($o,$true,$false),
inference(equality_proxy_replacement,[],[f5,f34]) ).
tff(f34,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ3_eqProxy(X0,X1,X2)
<=> ( X1 = X2 ) ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ3_eqProxy])]) ).
tff(f5,plain,
$true != $false,
introduced(fool_axiom,[]) ).
tff(f75,plain,
( ! [X3: $o] : sQ3_eqProxy($o,$true,(X3))
| ~ spl4_8 ),
inference(avatar_component_clause,[],[f74]) ).
tff(f74,plain,
( spl4_8
<=> ! [X3: $o] : sQ3_eqProxy($o,$true,(X3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).
tff(f92,plain,
( ~ spl4_2
| ~ spl4_7 ),
inference(avatar_contradiction_clause,[],[f91]) ).
tff(f91,plain,
( $false
| ~ spl4_2
| ~ spl4_7 ),
inference(subsumption_resolution,[],[f90,f35]) ).
tff(f35,plain,
~ sQ3_eqProxy($i,sK1,sK2),
inference(equality_proxy_replacement,[],[f25,f34]) ).
tff(f25,plain,
sK1 != sK2,
inference(cnf_transformation,[],[f20]) ).
tff(f20,plain,
( ( sK1 != sK2 )
& ( sK0 != sK2 )
& in(sK2,setadjoin(sK0,setadjoin(sK1,emptyset)))
& uniqinunit
& setadjoinE ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f15,f19]) ).
tff(f19,plain,
( ? [X0,X1,X2] :
( ( X1 != X2 )
& ( X0 != X2 )
& in(X2,setadjoin(X0,setadjoin(X1,emptyset))) )
=> ( ( sK1 != sK2 )
& ( sK0 != sK2 )
& in(sK2,setadjoin(sK0,setadjoin(sK1,emptyset))) ) ),
introduced(choice_axiom,[]) ).
tff(f15,plain,
( ? [X0,X1,X2] :
( ( X1 != X2 )
& ( X0 != X2 )
& in(X2,setadjoin(X0,setadjoin(X1,emptyset))) )
& uniqinunit
& setadjoinE ),
inference(flattening,[],[f14]) ).
tff(f14,plain,
( ? [X0,X1,X2] :
( ( X1 != X2 )
& ( X0 != X2 )
& in(X2,setadjoin(X0,setadjoin(X1,emptyset))) )
& uniqinunit
& setadjoinE ),
inference(ennf_transformation,[],[f11]) ).
tff(f11,plain,
~ ( setadjoinE
=> ( uniqinunit
=> ! [X0,X1,X2] :
( in(X2,setadjoin(X0,setadjoin(X1,emptyset)))
=> ( ( X1 = X2 )
| ( X0 = X2 ) ) ) ) ),
inference(rectify,[],[f4]) ).
tff(f4,negated_conjecture,
~ ( setadjoinE
=> ( uniqinunit
=> ! [X0,X2,X4] :
( in(X4,setadjoin(X0,setadjoin(X2,emptyset)))
=> ( ( X2 = X4 )
| ( X0 = X4 ) ) ) ) ),
inference(negated_conjecture,[],[f3]) ).
tff(f3,conjecture,
( setadjoinE
=> ( uniqinunit
=> ! [X0,X2,X4] :
( in(X4,setadjoin(X0,setadjoin(X2,emptyset)))
=> ( ( X2 = X4 )
| ( X0 = X4 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',upairsetE) ).
tff(f90,plain,
( sQ3_eqProxy($i,sK1,sK2)
| ~ spl4_2
| ~ spl4_7 ),
inference(forward_literal_rewriting,[],[f88,f45]) ).
tff(f45,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ3_eqProxy(X0,X2,X1)
| ~ sQ3_eqProxy(X0,X1,X2) ),
inference(equality_proxy_axiom,[],[f34]) ).
tff(f88,plain,
( sQ3_eqProxy($i,sK2,sK1)
| ~ spl4_2
| ~ spl4_7 ),
inference(resolution,[],[f87,f52]) ).
tff(f52,plain,
( ! [X0: $i,X1: $i] :
( ~ in(X0,setadjoin(X1,emptyset))
| sQ3_eqProxy($i,X0,X1) )
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f51]) ).
tff(f51,plain,
( spl4_2
<=> ! [X0,X1] :
( sQ3_eqProxy($i,X0,X1)
| ~ in(X0,setadjoin(X1,emptyset)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
tff(f87,plain,
( in(sK2,setadjoin(sK1,emptyset))
| ~ spl4_7 ),
inference(subsumption_resolution,[],[f86,f36]) ).
tff(f36,plain,
~ sQ3_eqProxy($i,sK0,sK2),
inference(equality_proxy_replacement,[],[f24,f34]) ).
tff(f24,plain,
sK0 != sK2,
inference(cnf_transformation,[],[f20]) ).
tff(f86,plain,
( in(sK2,setadjoin(sK1,emptyset))
| sQ3_eqProxy($i,sK0,sK2)
| ~ spl4_7 ),
inference(resolution,[],[f72,f23]) ).
tff(f23,plain,
in(sK2,setadjoin(sK0,setadjoin(sK1,emptyset))),
inference(cnf_transformation,[],[f20]) ).
tff(f72,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ~ in(X2,setadjoin(X0,X1))
| in(X2,X1)
| sQ3_eqProxy($i,X0,X2) )
| ~ spl4_7 ),
inference(avatar_component_clause,[],[f71]) ).
tff(f71,plain,
( spl4_7
<=> ! [X2,X0,X1] :
( in(X2,X1)
| ~ in(X2,setadjoin(X0,X1))
| sQ3_eqProxy($i,X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).
tff(f78,plain,
spl4_1,
inference(avatar_split_clause,[],[f22,f47]) ).
tff(f47,plain,
( spl4_1
<=> uniqinunit ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
tff(f22,plain,
uniqinunit,
inference(cnf_transformation,[],[f20]) ).
tff(f77,plain,
spl4_3,
inference(avatar_split_clause,[],[f21,f55]) ).
tff(f55,plain,
( spl4_3
<=> setadjoinE ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
tff(f21,plain,
setadjoinE,
inference(cnf_transformation,[],[f20]) ).
tff(f76,plain,
( ~ spl4_3
| spl4_7
| spl4_8 ),
inference(avatar_split_clause,[],[f41,f74,f71,f55]) ).
tff(f41,plain,
! [X2: $i,X3: $o,X0: $i,X1: $i] :
( sQ3_eqProxy($o,$true,(X3))
| in(X2,X1)
| sQ3_eqProxy($i,X0,X2)
| ~ in(X2,setadjoin(X0,X1))
| ~ setadjoinE ),
inference(equality_proxy_replacement,[],[f27,f34]) ).
tff(f27,plain,
! [X2: $i,X3: $o,X0: $i,X1: $i] :
( ( $true = (X3) )
| in(X2,X1)
| ( X0 = X2 )
| ~ in(X2,setadjoin(X0,X1))
| ~ setadjoinE ),
inference(cnf_transformation,[],[f18]) ).
tff(f18,plain,
( ! [X0,X1,X2] :
( ! [X3: $o] :
( ( $true = (X3) )
| ( ( $true != (X3) )
& in(X2,X1) )
| ( ( $true != (X3) )
& ( X0 = X2 ) ) )
| ~ in(X2,setadjoin(X0,X1)) )
| ~ setadjoinE ),
inference(flattening,[],[f17]) ).
tff(f17,plain,
( ! [X0,X1,X2] :
( ! [X3: $o] :
( ( $true = (X3) )
| ( ( $true != (X3) )
& in(X2,X1) )
| ( ( $true != (X3) )
& ( X0 = X2 ) ) )
| ~ in(X2,setadjoin(X0,X1)) )
| ~ setadjoinE ),
inference(ennf_transformation,[],[f13]) ).
tff(f13,plain,
( setadjoinE
=> ! [X0,X1,X2] :
( in(X2,setadjoin(X0,X1))
=> ! [X3: $o] :
( ( ( X0 = X2 )
=> ( $true = (X3) ) )
=> ( ( in(X2,X1)
=> ( $true = (X3) ) )
=> ( $true = (X3) ) ) ) ) ),
inference(unused_predicate_definition_removal,[],[f8]) ).
tff(f8,plain,
( setadjoinE
<=> ! [X0,X1,X2] :
( in(X2,setadjoin(X0,X1))
=> ! [X3: $o] :
( ( ( X0 = X2 )
=> ( $true = (X3) ) )
=> ( ( in(X2,X1)
=> ( $true = (X3) ) )
=> ( $true = (X3) ) ) ) ) ),
inference(fool_elimination,[],[f7]) ).
tff(f7,plain,
( setadjoinE
= ( ! [X0,X1,X2] :
( in(X2,setadjoin(X0,X1))
=> ! [X3: $o] :
( ( ( X0 = X2 )
=> (X3) )
=> ( ( in(X2,X1)
=> (X3) )
=> (X3) ) ) ) ) ),
inference(rectify,[],[f1]) ).
tff(f1,axiom,
( setadjoinE
= ( ! [X0,X1,X2] :
( in(X2,setadjoin(X0,X1))
=> ! [X3: $o] :
( ( ( X0 = X2 )
=> (X3) )
=> ( ( in(X2,X1)
=> (X3) )
=> (X3) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setadjoinE) ).
tff(f53,plain,
( ~ spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f37,f51,f47]) ).
tff(f37,plain,
! [X0: $i,X1: $i] :
( sQ3_eqProxy($i,X0,X1)
| ~ in(X0,setadjoin(X1,emptyset))
| ~ uniqinunit ),
inference(equality_proxy_replacement,[],[f26,f34]) ).
tff(f26,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ in(X0,setadjoin(X1,emptyset))
| ~ uniqinunit ),
inference(cnf_transformation,[],[f16]) ).
tff(f16,plain,
( ! [X0,X1] :
( ( X0 = X1 )
| ~ in(X0,setadjoin(X1,emptyset)) )
| ~ uniqinunit ),
inference(ennf_transformation,[],[f12]) ).
tff(f12,plain,
( uniqinunit
=> ! [X0,X1] :
( in(X0,setadjoin(X1,emptyset))
=> ( X0 = X1 ) ) ),
inference(unused_predicate_definition_removal,[],[f10]) ).
tff(f10,plain,
( uniqinunit
<=> ! [X0,X1] :
( in(X0,setadjoin(X1,emptyset))
=> ( X0 = X1 ) ) ),
inference(fool_elimination,[],[f9]) ).
tff(f9,plain,
( uniqinunit
= ( ! [X0,X1] :
( in(X0,setadjoin(X1,emptyset))
=> ( X0 = X1 ) ) ) ),
inference(rectify,[],[f2]) ).
tff(f2,axiom,
( uniqinunit
= ( ! [X0,X2] :
( in(X0,setadjoin(X2,emptyset))
=> ( X0 = X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',uniqinunit) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SEU531_8 : TPTP v8.2.0. Released v8.0.0.
% 0.12/0.14 % 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
% 0.15/0.36 % Computer : n016.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 : Sun May 19 17:12:23 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a TX0_THM_EQU_NAR problem
% 0.15/0.36 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/benchmark/theBenchmark.p
% 0.56/0.75 % (20764)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)
% 0.56/0.75 % (20764)Refutation not found, incomplete strategy% (20764)------------------------------
% 0.56/0.75 % (20764)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (20764)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (20764)Memory used [KB]: 956
% 0.56/0.75 % (20764)Time elapsed: 0.002 s
% 0.56/0.75 % (20764)Instructions burned: 2 (million)
% 0.56/0.75 % (20757)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)
% 0.56/0.75 % (20759)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.56/0.75 % (20760)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)
% 0.56/0.75 % (20761)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)
% 0.56/0.75 % (20764)------------------------------
% 0.56/0.75 % (20764)------------------------------
% 0.56/0.75 % (20762)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)
% 0.56/0.75 % (20763)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)
% 0.56/0.75 % (20758)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)
% 0.56/0.75 % (20760)Refutation not found, incomplete strategy% (20760)------------------------------
% 0.56/0.75 % (20760)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (20760)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (20760)Memory used [KB]: 959
% 0.56/0.75 % (20760)Time elapsed: 0.003 s
% 0.56/0.75 % (20760)Instructions burned: 3 (million)
% 0.56/0.75 % (20762)Refutation not found, incomplete strategy% (20762)------------------------------
% 0.56/0.75 % (20762)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (20761)Refutation not found, incomplete strategy% (20761)------------------------------
% 0.56/0.75 % (20761)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (20761)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (20761)Memory used [KB]: 990
% 0.56/0.75 % (20761)Time elapsed: 0.003 s
% 0.56/0.75 % (20761)Instructions burned: 3 (million)
% 0.56/0.75 % (20759)Also succeeded, but the first one will report.
% 0.56/0.75 % (20757)First to succeed.
% 0.56/0.75 % (20762)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (20762)Memory used [KB]: 974
% 0.56/0.75 % (20762)Time elapsed: 0.003 s
% 0.56/0.75 % (20760)------------------------------
% 0.56/0.75 % (20760)------------------------------
% 0.56/0.75 % (20762)Instructions burned: 3 (million)
% 0.56/0.75 % (20763)Also succeeded, but the first one will report.
% 0.56/0.75 % (20761)------------------------------
% 0.56/0.75 % (20761)------------------------------
% 0.56/0.75 % (20762)------------------------------
% 0.56/0.75 % (20762)------------------------------
% 0.56/0.75 % (20766)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 theBenchmark for (2996ds/55Mi)
% 0.56/0.75 % (20758)Also succeeded, but the first one will report.
% 0.56/0.75 % (20757)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-20598"
% 0.56/0.75 % (20757)Refutation found. Thanks to Tanya!
% 0.56/0.75 % SZS status Theorem for theBenchmark
% 0.56/0.75 % SZS output start Proof for theBenchmark
% See solution above
% 0.56/0.75 % (20757)------------------------------
% 0.56/0.75 % (20757)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (20757)Termination reason: Refutation
% 0.56/0.75
% 0.56/0.75 % (20757)Memory used [KB]: 994
% 0.56/0.75 % (20757)Time elapsed: 0.004 s
% 0.56/0.75 % (20757)Instructions burned: 4 (million)
% 0.56/0.75 % (20598)Success in time 0.385 s
% 0.56/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------