TSTP Solution File: NUM514+3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM514+3 : TPTP v8.2.0. 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 : n008.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 01:42:53 EDT 2024
% Result : Theorem 0.58s 0.74s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 6 unt; 1 typ; 0 def)
% Number of atoms : 205 ( 14 equ)
% Maximal formula atoms : 5 ( 13 avg)
% Number of connectives : 37 ( 13 ~; 7 |; 14 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 166 ( 166 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 12 ( 10 usr; 6 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 13 ( 10 !; 2 ?; 9 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_9,type,
sQ22_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f571,plain,
$false,
inference(subsumption_resolution,[],[f570,f284]) ).
tff(f284,plain,
aNaturalNumber0(sdtsldt0(xk,xr)),
inference(cnf_transformation,[],[f55]) ).
tff(f55,axiom,
( ( sdtasdt0(sdtsldt0(xn,xr),xm) = sdtasdt0(xp,sdtsldt0(xk,xr)) )
& ( xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )
& aNaturalNumber0(sdtsldt0(xn,xr))
& ( xk = sdtasdt0(xr,sdtsldt0(xk,xr)) )
& aNaturalNumber0(sdtsldt0(xk,xr)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2613) ).
tff(f570,plain,
~ aNaturalNumber0(sdtsldt0(xk,xr)),
inference(resolution,[],[f569,f419]) ).
tff(f419,plain,
! [X0: $i] :
( ~ sQ22_eqProxy($i,sdtasdt0(xp,X0),sdtasdt0(sdtsldt0(xn,xr),xm))
| ~ aNaturalNumber0(X0) ),
inference(equality_proxy_replacement,[],[f291,f367]) ).
tff(f367,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ22_eqProxy(X0,X1,X2)
<=> ( X1 = X2 ) ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ22_eqProxy])]) ).
tff(f291,plain,
! [X0: $i] :
( ( sdtasdt0(xp,X0) != sdtasdt0(sdtsldt0(xn,xr),xm) )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f78]) ).
tff(f78,plain,
( ~ doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm))
& ! [X0] :
( ( sdtasdt0(xp,X0) != sdtasdt0(sdtsldt0(xn,xr),xm) )
| ~ aNaturalNumber0(X0) )
& ( xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )
& aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(flattening,[],[f77]) ).
tff(f77,plain,
( ~ doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm))
& ! [X0] :
( ( sdtasdt0(xp,X0) != sdtasdt0(sdtsldt0(xn,xr),xm) )
| ~ aNaturalNumber0(X0) )
& ( xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )
& aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(ennf_transformation,[],[f57]) ).
tff(f57,negated_conjecture,
~ ( ( ( xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )
& aNaturalNumber0(sdtsldt0(xn,xr)) )
=> ( doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm))
| ? [X0] :
( ( sdtasdt0(xp,X0) = sdtasdt0(sdtsldt0(xn,xr),xm) )
& aNaturalNumber0(X0) ) ) ),
inference(negated_conjecture,[],[f56]) ).
tff(f56,conjecture,
( ( ( xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )
& aNaturalNumber0(sdtsldt0(xn,xr)) )
=> ( doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm))
| ? [X0] :
( ( sdtasdt0(xp,X0) = sdtasdt0(sdtsldt0(xn,xr),xm) )
& aNaturalNumber0(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
tff(f569,plain,
sQ22_eqProxy($i,sdtasdt0(xp,sdtsldt0(xk,xr)),sdtasdt0(sdtsldt0(xn,xr),xm)),
inference(forward_literal_rewriting,[],[f416,f470]) ).
tff(f470,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ22_eqProxy(X0,X2,X1)
| ~ sQ22_eqProxy(X0,X1,X2) ),
inference(equality_proxy_axiom,[],[f367]) ).
tff(f416,plain,
sQ22_eqProxy($i,sdtasdt0(sdtsldt0(xn,xr),xm),sdtasdt0(xp,sdtsldt0(xk,xr))),
inference(equality_proxy_replacement,[],[f288,f367]) ).
tff(f288,plain,
sdtasdt0(sdtsldt0(xn,xr),xm) = sdtasdt0(xp,sdtsldt0(xk,xr)),
inference(cnf_transformation,[],[f55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : NUM514+3 : TPTP v8.2.0. Released v4.0.0.
% 0.04/0.14 % 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
% 0.14/0.34 % Computer : n008.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon May 20 06:52:07 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/benchmark/theBenchmark.p
% 0.58/0.73 % (17548)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)
% 0.58/0.73 % (17549)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)
% 0.58/0.73 % (17551)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)
% 0.58/0.73 % (17550)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)
% 0.58/0.73 % (17544)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)
% 0.58/0.73 % (17545)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)
% 0.58/0.73 % (17547)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)
% 0.58/0.74 % (17544)First to succeed.
% 0.58/0.74 % (17544)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-17543"
% 0.58/0.74 % (17544)Refutation found. Thanks to Tanya!
% 0.58/0.74 % SZS status Theorem for theBenchmark
% 0.58/0.74 % SZS output start Proof for theBenchmark
% See solution above
% 0.58/0.74 % (17544)------------------------------
% 0.58/0.74 % (17544)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.74 % (17544)Termination reason: Refutation
% 0.58/0.74
% 0.58/0.74 % (17544)Memory used [KB]: 1200
% 0.58/0.74 % (17544)Time elapsed: 0.008 s
% 0.58/0.74 % (17544)Instructions burned: 12 (million)
% 0.58/0.74 % (17543)Success in time 0.388 s
% 0.58/0.74 % Vampire---4.8 exiting
%------------------------------------------------------------------------------