TSTP Solution File: ITP019+2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ITP019+2 : TPTP v8.1.2. Bugfixed v7.5.0.
% 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 : n023.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 06:48:23 EDT 2024
% Result : Theorem 0.56s 0.75s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 23 ( 7 unt; 1 typ; 0 def)
% Number of atoms : 259 ( 31 equ)
% Maximal formula atoms : 6 ( 11 avg)
% Number of connectives : 58 ( 25 ~; 9 |; 11 &)
% ( 4 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 204 ( 204 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 6 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 16 ( 12 !; 3 ?; 6 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_4,type,
sQ3_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f144,plain,
$false,
inference(subsumption_resolution,[],[f143,f67]) ).
tff(f67,plain,
mem(sK0,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)),
inference(cnf_transformation,[],[f56]) ).
tff(f56,plain,
( ( ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) = ap(c_2Ecomplex_2Ecomplex__inv,sK0) )
& ( ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) != sK0 )
& mem(sK0,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f45,f55]) ).
tff(f55,plain,
( ? [X0] :
( ( ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) = ap(c_2Ecomplex_2Ecomplex__inv,X0) )
& ( ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) != X0 )
& mem(X0,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) )
=> ( ( ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) = ap(c_2Ecomplex_2Ecomplex__inv,sK0) )
& ( ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) != sK0 )
& mem(sK0,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) ) ),
introduced(choice_axiom,[]) ).
tff(f45,plain,
? [X0] :
( ( ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) = ap(c_2Ecomplex_2Ecomplex__inv,X0) )
& ( ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) != X0 )
& mem(X0,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) ),
inference(flattening,[],[f44]) ).
tff(f44,plain,
? [X0] :
( ( ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) = ap(c_2Ecomplex_2Ecomplex__inv,X0) )
& ( ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) != X0 )
& mem(X0,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) ),
inference(ennf_transformation,[],[f35]) ).
tff(f35,plain,
~ ! [X0] :
( mem(X0,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
=> ( ( ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) != X0 )
=> ( ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) != ap(c_2Ecomplex_2Ecomplex__inv,X0) ) ) ),
inference(rectify,[],[f34]) ).
tff(f34,negated_conjecture,
~ ! [X13] :
( mem(X13,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
=> ( ( ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) != X13 )
=> ( ap(c_2Ecomplex_2Ecomplex__inv,X13) != ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) ) ) ),
inference(negated_conjecture,[],[f33]) ).
tff(f33,conjecture,
! [X13] :
( mem(X13,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
=> ( ( ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) != X13 )
=> ( ap(c_2Ecomplex_2Ecomplex__inv,X13) != ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.c0lMXTXiKj/Vampire---4.8_19178',conj_thm_2Ecomplex_2ECOMPLEX__INV__NZ) ).
tff(f143,plain,
~ mem(sK0,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)),
inference(subsumption_resolution,[],[f139,f93]) ).
tff(f93,plain,
~ sQ3_eqProxy($i,ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0),sK0),
inference(equality_proxy_replacement,[],[f68,f91]) ).
tff(f91,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ3_eqProxy(X0,X1,X2)
<=> ( X1 = X2 ) ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ3_eqProxy])]) ).
tff(f68,plain,
ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) != sK0,
inference(cnf_transformation,[],[f56]) ).
tff(f139,plain,
( sQ3_eqProxy($i,ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0),sK0)
| ~ mem(sK0,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) ),
inference(resolution,[],[f95,f92]) ).
tff(f92,plain,
sQ3_eqProxy($i,ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0),ap(c_2Ecomplex_2Ecomplex__inv,sK0)),
inference(equality_proxy_replacement,[],[f69,f91]) ).
tff(f69,plain,
ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) = ap(c_2Ecomplex_2Ecomplex__inv,sK0),
inference(cnf_transformation,[],[f56]) ).
tff(f95,plain,
! [X0: $i] :
( ~ sQ3_eqProxy($i,ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0),ap(c_2Ecomplex_2Ecomplex__inv,X0))
| sQ3_eqProxy($i,ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0),X0)
| ~ mem(X0,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) ),
inference(equality_proxy_replacement,[],[f70,f91]) ).
tff(f70,plain,
! [X0: $i] :
( ( ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) = X0 )
| ( ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) != ap(c_2Ecomplex_2Ecomplex__inv,X0) )
| ~ mem(X0,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) ),
inference(cnf_transformation,[],[f57]) ).
tff(f57,plain,
! [X0] :
( ( ( ( ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) = ap(c_2Ecomplex_2Ecomplex__inv,X0) )
| ( ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) != X0 ) )
& ( ( ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) = X0 )
| ( ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) != ap(c_2Ecomplex_2Ecomplex__inv,X0) ) ) )
| ~ mem(X0,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) ),
inference(nnf_transformation,[],[f46]) ).
tff(f46,plain,
! [X0] :
( ( ( ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) = ap(c_2Ecomplex_2Ecomplex__inv,X0) )
<=> ( ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) = X0 ) )
| ~ mem(X0,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) ),
inference(ennf_transformation,[],[f36]) ).
tff(f36,plain,
! [X0] :
( mem(X0,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
=> ( ( ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) = ap(c_2Ecomplex_2Ecomplex__inv,X0) )
<=> ( ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) = X0 ) ) ),
inference(rectify,[],[f32]) ).
tff(f32,axiom,
! [X13] :
( mem(X13,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
=> ( ( ap(c_2Ecomplex_2Ecomplex__inv,X13) = ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) )
<=> ( ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) = X13 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.c0lMXTXiKj/Vampire---4.8_19178',conj_thm_2Ecomplex_2ECOMPLEX__INV__EQ__0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ITP019+2 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.07/0.15 % 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
% 0.14/0.35 % Computer : n023.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 19:11:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.35 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/tmp/tmp.c0lMXTXiKj/Vampire---4.8_19178
% 0.56/0.74 % (19286)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 % (19287)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 % (19289)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 % (19288)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 % (19291)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 % (19290)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 % (19292)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 % (19293)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 % (19291)Also succeeded, but the first one will report.
% 0.56/0.74 % (19286)First to succeed.
% 0.56/0.74 % (19293)Also succeeded, but the first one will report.
% 0.56/0.74 % (19292)Also succeeded, but the first one will report.
% 0.56/0.75 % (19286)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-19285"
% 0.56/0.75 % (19290)Also succeeded, but the first one will report.
% 0.56/0.75 % (19288)Also succeeded, but the first one will report.
% 0.56/0.75 % (19286)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 % (19286)------------------------------
% 0.56/0.75 % (19286)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (19286)Termination reason: Refutation
% 0.56/0.75
% 0.56/0.75 % (19286)Memory used [KB]: 1068
% 0.56/0.75 % (19286)Time elapsed: 0.003 s
% 0.56/0.75 % (19286)Instructions burned: 4 (million)
% 0.56/0.75 % (19285)Success in time 0.384 s
% 0.56/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------