TSTP Solution File: SEU173+2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU173+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 : 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 : Sun May 5 09:20:44 EDT 2024
% Result : Theorem 0.56s 0.77s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 37 ( 5 unt; 1 typ; 0 def)
% Number of atoms : 197 ( 8 equ)
% Maximal formula atoms : 10 ( 5 avg)
% Number of connectives : 167 ( 63 ~; 57 |; 29 &)
% ( 8 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 57 ( 57 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 12 ( 10 usr; 3 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 79 ( 68 !; 10 ?; 18 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_8,type,
sQ27_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f712,plain,
$false,
inference(subsumption_resolution,[],[f704,f709]) ).
tff(f709,plain,
~ subset(sK0,sK1),
inference(forward_literal_rewriting,[],[f706,f527]) ).
tff(f527,plain,
! [X3: $i,X0: $i] :
( in(X3,powerset(X0))
| ~ subset(X3,X0) ),
inference(equality_resolution,[],[f398]) ).
tff(f398,plain,
! [X3: $i,X0: $i,X1: $i] :
( in(X3,X1)
| ~ subset(X3,X0)
| ( powerset(X0) != X1 ) ),
inference(cnf_transformation,[],[f244]) ).
tff(f244,plain,
! [X0,X1] :
( ( ( powerset(X0) = X1 )
| ( ( ~ subset(sK11(X0,X1),X0)
| ~ in(sK11(X0,X1),X1) )
& ( subset(sK11(X0,X1),X0)
| in(sK11(X0,X1),X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| ~ subset(X3,X0) )
& ( subset(X3,X0)
| ~ in(X3,X1) ) )
| ( powerset(X0) != X1 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f242,f243]) ).
tff(f243,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ subset(X2,X0)
| ~ in(X2,X1) )
& ( subset(X2,X0)
| in(X2,X1) ) )
=> ( ( ~ subset(sK11(X0,X1),X0)
| ~ in(sK11(X0,X1),X1) )
& ( subset(sK11(X0,X1),X0)
| in(sK11(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
tff(f242,plain,
! [X0,X1] :
( ( ( powerset(X0) = X1 )
| ? [X2] :
( ( ~ subset(X2,X0)
| ~ in(X2,X1) )
& ( subset(X2,X0)
| in(X2,X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| ~ subset(X3,X0) )
& ( subset(X3,X0)
| ~ in(X3,X1) ) )
| ( powerset(X0) != X1 ) ) ),
inference(rectify,[],[f241]) ).
tff(f241,plain,
! [X0,X1] :
( ( ( powerset(X0) = X1 )
| ? [X2] :
( ( ~ subset(X2,X0)
| ~ in(X2,X1) )
& ( subset(X2,X0)
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ~ subset(X2,X0) )
& ( subset(X2,X0)
| ~ in(X2,X1) ) )
| ( powerset(X0) != X1 ) ) ),
inference(nnf_transformation,[],[f9]) ).
tff(f9,axiom,
! [X0,X1] :
( ( powerset(X0) = X1 )
<=> ! [X2] :
( in(X2,X1)
<=> subset(X2,X0) ) ),
file('/export/starexec/sandbox/tmp/tmp.KIgkZbbnkY/Vampire---4.8_20055',d1_zfmisc_1) ).
tff(f706,plain,
~ in(sK0,powerset(sK1)),
inference(resolution,[],[f705,f295]) ).
tff(f295,plain,
~ element(sK0,powerset(sK1)),
inference(cnf_transformation,[],[f193]) ).
tff(f193,plain,
( ~ element(sK0,powerset(sK1))
& ! [X2] :
( in(X2,sK1)
| ~ in(X2,sK0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f133,f192]) ).
tff(f192,plain,
( ? [X0,X1] :
( ~ element(X0,powerset(X1))
& ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) )
=> ( ~ element(sK0,powerset(sK1))
& ! [X2] :
( in(X2,sK1)
| ~ in(X2,sK0) ) ) ),
introduced(choice_axiom,[]) ).
tff(f133,plain,
? [X0,X1] :
( ~ element(X0,powerset(X1))
& ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f56]) ).
tff(f56,negated_conjecture,
~ ! [X0,X1] :
( ! [X2] :
( in(X2,X0)
=> in(X2,X1) )
=> element(X0,powerset(X1)) ),
inference(negated_conjecture,[],[f55]) ).
tff(f55,conjecture,
! [X0,X1] :
( ! [X2] :
( in(X2,X0)
=> in(X2,X1) )
=> element(X0,powerset(X1)) ),
file('/export/starexec/sandbox/tmp/tmp.KIgkZbbnkY/Vampire---4.8_20055',l71_subset_1) ).
tff(f705,plain,
! [X0: $i,X1: $i] :
( element(X1,X0)
| ~ in(X1,X0) ),
inference(subsumption_resolution,[],[f394,f377]) ).
tff(f377,plain,
! [X0: $i,X1: $i] :
( ~ in(X0,X1)
| ~ empty(X1) ),
inference(cnf_transformation,[],[f170]) ).
tff(f170,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f105]) ).
tff(f105,axiom,
! [X0,X1] :
~ ( empty(X1)
& in(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.KIgkZbbnkY/Vampire---4.8_20055',t7_boole) ).
tff(f394,plain,
! [X0: $i,X1: $i] :
( element(X1,X0)
| ~ in(X1,X0)
| empty(X0) ),
inference(cnf_transformation,[],[f240]) ).
tff(f240,plain,
! [X0,X1] :
( ( ( ( element(X1,X0)
| ~ empty(X1) )
& ( empty(X1)
| ~ element(X1,X0) ) )
| ~ empty(X0) )
& ( ( ( element(X1,X0)
| ~ in(X1,X0) )
& ( in(X1,X0)
| ~ element(X1,X0) ) )
| empty(X0) ) ),
inference(nnf_transformation,[],[f172]) ).
tff(f172,plain,
! [X0,X1] :
( ( ( element(X1,X0)
<=> empty(X1) )
| ~ empty(X0) )
& ( ( element(X1,X0)
<=> in(X1,X0) )
| empty(X0) ) ),
inference(ennf_transformation,[],[f10]) ).
tff(f10,axiom,
! [X0,X1] :
( ( empty(X0)
=> ( element(X1,X0)
<=> empty(X1) ) )
& ( ~ empty(X0)
=> ( element(X1,X0)
<=> in(X1,X0) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.KIgkZbbnkY/Vampire---4.8_20055',d2_subset_1) ).
tff(f704,plain,
subset(sK0,sK1),
inference(duplicate_literal_removal,[],[f703]) ).
tff(f703,plain,
( subset(sK0,sK1)
| subset(sK0,sK1) ),
inference(resolution,[],[f693,f385]) ).
tff(f385,plain,
! [X0: $i,X1: $i] :
( in(sK9(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f234]) ).
tff(f234,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK9(X0,X1),X1)
& in(sK9(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f232,f233]) ).
tff(f233,plain,
! [X0,X1] :
( ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) )
=> ( ~ in(sK9(X0,X1),X1)
& in(sK9(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
tff(f232,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,[],[f231]) ).
tff(f231,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,[],[f171]) ).
tff(f171,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f14]) ).
tff(f14,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.KIgkZbbnkY/Vampire---4.8_20055',d3_tarski) ).
tff(f693,plain,
! [X0: $i] :
( ~ in(sK9(X0,sK1),sK0)
| subset(X0,sK1) ),
inference(resolution,[],[f386,f294]) ).
tff(f294,plain,
! [X2: $i] :
( in(X2,sK1)
| ~ in(X2,sK0) ),
inference(cnf_transformation,[],[f193]) ).
tff(f386,plain,
! [X0: $i,X1: $i] :
( ~ in(sK9(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f234]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SEU173+2 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.15 % 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 : n015.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 11:51:21 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.KIgkZbbnkY/Vampire---4.8_20055
% 0.56/0.76 % (20452)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)
% 0.56/0.76 % (20445)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)
% 0.56/0.76 % (20447)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.76 % (20446)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)
% 0.56/0.76 % (20448)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)
% 0.56/0.76 % (20449)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)
% 0.56/0.76 % (20450)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)
% 0.56/0.76 % (20451)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)
% 0.56/0.77 % (20445)First to succeed.
% 0.56/0.77 % (20445)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-20311"
% 0.56/0.77 % (20445)Refutation found. Thanks to Tanya!
% 0.56/0.77 % SZS status Theorem for Vampire---4
% 0.56/0.77 % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.77 % (20445)------------------------------
% 0.56/0.77 % (20445)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.77 % (20445)Termination reason: Refutation
% 0.56/0.77
% 0.56/0.77 % (20445)Memory used [KB]: 1305
% 0.56/0.77 % (20445)Time elapsed: 0.012 s
% 0.56/0.77 % (20445)Instructions burned: 15 (million)
% 0.56/0.77 % (20311)Success in time 0.392 s
% 0.56/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------