TSTP Solution File: RNG086+2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : RNG086+2 : 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 : 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 08:54:08 EDT 2024
% Result : Theorem 0.60s 0.75s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 21 ( 6 unt; 1 typ; 0 def)
% Number of atoms : 194 ( 16 equ)
% Maximal formula atoms : 9 ( 9 avg)
% Number of connectives : 66 ( 17 ~; 10 |; 36 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 125 ( 125 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 16 ( 14 usr; 10 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 31 ( 14 !; 16 ?; 13 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_7,type,
sQ13_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f211,plain,
$false,
inference(subsumption_resolution,[],[f210,f88]) ).
tff(f88,plain,
aElementOf0(sK4,xI),
inference(cnf_transformation,[],[f68]) ).
tff(f68,plain,
( aElement0(xz)
& aElementOf0(xy,sdtpldt1(xI,xJ))
& ( xy = sdtpldt0(sK2,sK3) )
& aElementOf0(sK3,xJ)
& aElementOf0(sK2,xI)
& aElementOf0(xx,sdtpldt1(xI,xJ))
& ( xx = sdtpldt0(sK4,sK5) )
& aElementOf0(sK5,xJ)
& aElementOf0(sK4,xI) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5])],[f30,f67,f66]) ).
tff(f66,plain,
( ? [X0,X1] :
( ( sdtpldt0(X0,X1) = xy )
& aElementOf0(X1,xJ)
& aElementOf0(X0,xI) )
=> ( ( xy = sdtpldt0(sK2,sK3) )
& aElementOf0(sK3,xJ)
& aElementOf0(sK2,xI) ) ),
introduced(choice_axiom,[]) ).
tff(f67,plain,
( ? [X2,X3] :
( ( xx = sdtpldt0(X2,X3) )
& aElementOf0(X3,xJ)
& aElementOf0(X2,xI) )
=> ( ( xx = sdtpldt0(sK4,sK5) )
& aElementOf0(sK5,xJ)
& aElementOf0(sK4,xI) ) ),
introduced(choice_axiom,[]) ).
tff(f30,plain,
( aElement0(xz)
& aElementOf0(xy,sdtpldt1(xI,xJ))
& ? [X0,X1] :
( ( sdtpldt0(X0,X1) = xy )
& aElementOf0(X1,xJ)
& aElementOf0(X0,xI) )
& aElementOf0(xx,sdtpldt1(xI,xJ))
& ? [X2,X3] :
( ( xx = sdtpldt0(X2,X3) )
& aElementOf0(X3,xJ)
& aElementOf0(X2,xI) ) ),
inference(rectify,[],[f26]) ).
tff(f26,axiom,
( aElement0(xz)
& aElementOf0(xy,sdtpldt1(xI,xJ))
& ? [X0,X1] :
( ( sdtpldt0(X0,X1) = xy )
& aElementOf0(X1,xJ)
& aElementOf0(X0,xI) )
& aElementOf0(xx,sdtpldt1(xI,xJ))
& ? [X0,X1] :
( ( sdtpldt0(X0,X1) = xx )
& aElementOf0(X1,xJ)
& aElementOf0(X0,xI) ) ),
file('/export/starexec/sandbox/tmp/tmp.Ux8dIdipQr/Vampire---4.8_28777',m__901) ).
tff(f210,plain,
~ aElementOf0(sK4,xI),
inference(subsumption_resolution,[],[f208,f89]) ).
tff(f89,plain,
aElementOf0(sK5,xJ),
inference(cnf_transformation,[],[f68]) ).
tff(f208,plain,
( ~ aElementOf0(sK5,xJ)
| ~ aElementOf0(sK4,xI) ),
inference(resolution,[],[f206,f137]) ).
tff(f137,plain,
sQ13_eqProxy($i,xx,sdtpldt0(sK4,sK5)),
inference(equality_proxy_replacement,[],[f90,f135]) ).
tff(f135,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ13_eqProxy(X0,X1,X2)
<=> ( X1 = X2 ) ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ13_eqProxy])]) ).
tff(f90,plain,
xx = sdtpldt0(sK4,sK5),
inference(cnf_transformation,[],[f68]) ).
tff(f206,plain,
! [X0: $i,X1: $i] :
( ~ sQ13_eqProxy($i,xx,sdtpldt0(X0,X1))
| ~ aElementOf0(X1,xJ)
| ~ aElementOf0(X0,xI) ),
inference(resolution,[],[f161,f138]) ).
tff(f138,plain,
! [X0: $i,X1: $i] :
( ~ sQ13_eqProxy($i,sdtpldt0(X0,X1),xx)
| ~ aElementOf0(X1,xJ)
| ~ aElementOf0(X0,xI) ),
inference(equality_proxy_replacement,[],[f97,f135]) ).
tff(f97,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(X0,X1) != xx )
| ~ aElementOf0(X1,xJ)
| ~ aElementOf0(X0,xI) ),
inference(cnf_transformation,[],[f37]) ).
tff(f37,plain,
! [X0,X1] :
( ( sdtpldt0(X0,X1) != xx )
| ~ aElementOf0(X1,xJ)
| ~ aElementOf0(X0,xI) ),
inference(ennf_transformation,[],[f28]) ).
tff(f28,negated_conjecture,
~ ? [X0,X1] :
( ( sdtpldt0(X0,X1) = xx )
& aElementOf0(X1,xJ)
& aElementOf0(X0,xI) ),
inference(negated_conjecture,[],[f27]) ).
tff(f27,conjecture,
? [X0,X1] :
( ( sdtpldt0(X0,X1) = xx )
& aElementOf0(X1,xJ)
& aElementOf0(X0,xI) ),
file('/export/starexec/sandbox/tmp/tmp.Ux8dIdipQr/Vampire---4.8_28777',m__) ).
tff(f161,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ13_eqProxy(X0,X2,X1)
| ~ sQ13_eqProxy(X0,X1,X2) ),
inference(equality_proxy_axiom,[],[f135]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : RNG086+2 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.15 % 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 18:16:53 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.Ux8dIdipQr/Vampire---4.8_28777
% 0.60/0.75 % (29035)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)
% 0.60/0.75 % (29038)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.60/0.75 % (29039)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)
% 0.60/0.75 % (29040)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)
% 0.60/0.75 % (29041)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)
% 0.60/0.75 % (29037)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)
% 0.60/0.75 % (29043)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)
% 0.60/0.75 % (29042)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)
% 0.60/0.75 % (29035)First to succeed.
% 0.60/0.75 % (29035)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-29025"
% 0.60/0.75 % (29035)Refutation found. Thanks to Tanya!
% 0.60/0.75 % SZS status Theorem for Vampire---4
% 0.60/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.75 % (29035)------------------------------
% 0.60/0.75 % (29035)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.75 % (29035)Termination reason: Refutation
% 0.60/0.75
% 0.60/0.75 % (29035)Memory used [KB]: 1086
% 0.60/0.75 % (29035)Time elapsed: 0.004 s
% 0.60/0.75 % (29035)Instructions burned: 6 (million)
% 0.60/0.75 % (29025)Success in time 0.386 s
% 0.60/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------