TSTP Solution File: NUM602+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM602+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n007.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 08:13:23 EDT 2024
% Result : Theorem 0.57s 0.74s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 23 ( 5 unt; 1 typ; 0 def)
% Number of atoms : 146 ( 11 equ)
% Maximal formula atoms : 6 ( 6 avg)
% Number of connectives : 47 ( 20 ~; 12 |; 12 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 97 ( 97 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 13 ( 11 usr; 6 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 24 ( 18 !; 5 ?; 14 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_14,type,
sQ26_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f667,plain,
$false,
inference(subsumption_resolution,[],[f666,f355]) ).
tff(f355,plain,
aElementOf0(xx,xO),
inference(cnf_transformation,[],[f98]) ).
tff(f98,axiom,
aElementOf0(xx,xO),
file('/export/starexec/sandbox/tmp/tmp.NwVkNYvrgA/Vampire---4.8_25340',m__5009) ).
tff(f666,plain,
~ aElementOf0(xx,xO),
inference(resolution,[],[f662,f352]) ).
tff(f352,plain,
! [X0: $i] :
( aElementOf0(sK9(X0),szNzAzT0)
| ~ aElementOf0(X0,xO) ),
inference(cnf_transformation,[],[f239]) ).
tff(f239,plain,
! [X0] :
( ( ( sdtlpdtrp0(xe,sK9(X0)) = X0 )
& aElementOf0(sK9(X0),sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(sK9(X0),szNzAzT0) )
| ~ aElementOf0(X0,xO) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f130,f238]) ).
tff(f238,plain,
! [X0] :
( ? [X1] :
( ( sdtlpdtrp0(xe,X1) = X0 )
& aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(X1,szNzAzT0) )
=> ( ( sdtlpdtrp0(xe,sK9(X0)) = X0 )
& aElementOf0(sK9(X0),sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(sK9(X0),szNzAzT0) ) ),
introduced(choice_axiom,[]) ).
tff(f130,plain,
! [X0] :
( ? [X1] :
( ( sdtlpdtrp0(xe,X1) = X0 )
& aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(X1,szNzAzT0) )
| ~ aElementOf0(X0,xO) ),
inference(ennf_transformation,[],[f97]) ).
tff(f97,axiom,
! [X0] :
( aElementOf0(X0,xO)
=> ? [X1] :
( ( sdtlpdtrp0(xe,X1) = X0 )
& aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(X1,szNzAzT0) ) ),
file('/export/starexec/sandbox/tmp/tmp.NwVkNYvrgA/Vampire---4.8_25340',m__4982) ).
tff(f662,plain,
~ aElementOf0(sK9(xx),szNzAzT0),
inference(subsumption_resolution,[],[f661,f355]) ).
tff(f661,plain,
( ~ aElementOf0(xx,xO)
| ~ aElementOf0(sK9(xx),szNzAzT0) ),
inference(resolution,[],[f660,f642]) ).
tff(f642,plain,
! [X0: $i] :
( ~ sQ26_eqProxy($i,xx,sdtlpdtrp0(xe,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[],[f587,f536]) ).
tff(f536,plain,
! [X0: $i] :
( ~ sQ26_eqProxy($i,sdtlpdtrp0(xe,X0),xx)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(equality_proxy_replacement,[],[f356,f513]) ).
tff(f513,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ26_eqProxy(X0,X1,X2)
<=> ( X1 = X2 ) ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ26_eqProxy])]) ).
tff(f356,plain,
! [X0: $i] :
( ( sdtlpdtrp0(xe,X0) != xx )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f131]) ).
tff(f131,plain,
! [X0] :
( ( sdtlpdtrp0(xe,X0) != xx )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f100]) ).
tff(f100,negated_conjecture,
~ ? [X0] :
( ( sdtlpdtrp0(xe,X0) = xx )
& aElementOf0(X0,szNzAzT0) ),
inference(negated_conjecture,[],[f99]) ).
tff(f99,conjecture,
? [X0] :
( ( sdtlpdtrp0(xe,X0) = xx )
& aElementOf0(X0,szNzAzT0) ),
file('/export/starexec/sandbox/tmp/tmp.NwVkNYvrgA/Vampire---4.8_25340',m__) ).
tff(f587,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ26_eqProxy(X0,X2,X1)
| ~ sQ26_eqProxy(X0,X1,X2) ),
inference(equality_proxy_axiom,[],[f513]) ).
tff(f660,plain,
! [X0: $i] :
( sQ26_eqProxy($i,X0,sdtlpdtrp0(xe,sK9(X0)))
| ~ aElementOf0(X0,xO) ),
inference(forward_literal_rewriting,[],[f535,f587]) ).
tff(f535,plain,
! [X0: $i] :
( sQ26_eqProxy($i,sdtlpdtrp0(xe,sK9(X0)),X0)
| ~ aElementOf0(X0,xO) ),
inference(equality_proxy_replacement,[],[f354,f513]) ).
tff(f354,plain,
! [X0: $i] :
( ( sdtlpdtrp0(xe,sK9(X0)) = X0 )
| ~ aElementOf0(X0,xO) ),
inference(cnf_transformation,[],[f239]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM602+1 : TPTP v8.1.2. Released v4.0.0.
% 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
% 0.14/0.35 % Computer : n007.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 15:20:23 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.NwVkNYvrgA/Vampire---4.8_25340
% 0.57/0.72 % (25456)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)
% 0.57/0.73 % (25450)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)
% 0.57/0.73 % (25452)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.73 % (25453)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)
% 0.57/0.73 % (25451)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)
% 0.57/0.73 % (25455)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)
% 0.57/0.73 % (25457)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)
% 0.57/0.73 % (25454)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)
% 0.57/0.73 % (25450)First to succeed.
% 0.57/0.73 % (25450)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-25449"
% 0.57/0.74 % (25450)Refutation found. Thanks to Tanya!
% 0.57/0.74 % SZS status Theorem for Vampire---4
% 0.57/0.74 % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.74 % (25450)------------------------------
% 0.57/0.74 % (25450)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74 % (25450)Termination reason: Refutation
% 0.57/0.74
% 0.57/0.74 % (25450)Memory used [KB]: 1354
% 0.57/0.74 % (25450)Time elapsed: 0.010 s
% 0.57/0.74 % (25450)Instructions burned: 16 (million)
% 0.57/0.74 % (25449)Success in time 0.373 s
% 0.57/0.74 % Vampire---4.8 exiting
%------------------------------------------------------------------------------