TSTP Solution File: NUM902_1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM902_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n014.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 08:16:17 EDT 2024
% Result : Theorem 0.58s 0.74s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 17 ( 9 unt; 2 typ; 0 def)
% Number of atoms : 23 ( 22 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 15 ( 7 ~; 0 |; 4 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number arithmetic : 57 ( 0 atm; 30 fun; 11 num; 16 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 2 usr; 3 con; 0-2 aty)
% Number of variables : 16 ( 12 !; 4 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_5,type,
sK0: $rat ).
tff(func_def_6,type,
sK1: $rat ).
tff(f35,plain,
$false,
inference(subsumption_resolution,[],[f34,f19]) ).
tff(f19,plain,
sK0 != sK1,
inference(cnf_transformation,[],[f17]) ).
tff(f17,plain,
( ( sK0 != sK1 )
& ( 0/1 = $sum(sK0,$uminus(sK1)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f15,f16]) ).
tff(f16,plain,
( ? [X0: $rat,X1: $rat] :
( ( X0 != X1 )
& ( 0/1 = $sum(X0,$uminus(X1)) ) )
=> ( ( sK0 != sK1 )
& ( 0/1 = $sum(sK0,$uminus(sK1)) ) ) ),
introduced(choice_axiom,[]) ).
tff(f15,plain,
? [X0: $rat,X1: $rat] :
( ( X0 != X1 )
& ( 0/1 = $sum(X0,$uminus(X1)) ) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,plain,
~ ! [X0: $rat,X1: $rat] :
( ( 0/1 = $sum(X0,$uminus(X1)) )
=> ( X0 = X1 ) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $rat,X1: $rat] :
( ( $difference(X0,X1) = 0/1 )
=> ( X0 = X1 ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $rat,X1: $rat] :
( ( $difference(X0,X1) = 0/1 )
=> ( X0 = X1 ) ),
file('/export/starexec/sandbox2/tmp/tmp.ga8mrrmq9E/Vampire---4.8_30917',rat_difference_problem_13) ).
tff(f34,plain,
sK0 = sK1,
inference(evaluation,[],[f31]) ).
tff(f31,plain,
$uminus($uminus(sK1)) = $sum(sK0,0/1),
inference(superposition,[],[f22,f8]) ).
tff(f8,plain,
! [X0: $rat] : ( 0/1 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_140,[]) ).
tff(f22,plain,
! [X0: $rat] : ( $sum(sK0,$sum($uminus(sK1),X0)) = X0 ),
inference(evaluation,[],[f21]) ).
tff(f21,plain,
! [X0: $rat] : ( $sum(sK0,$sum($uminus(sK1),X0)) = $sum(0/1,X0) ),
inference(superposition,[],[f5,f18]) ).
tff(f18,plain,
0/1 = $sum(sK0,$uminus(sK1)),
inference(cnf_transformation,[],[f17]) ).
tff(f5,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(theory_axiom_136,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : NUM902_1 : TPTP v8.1.2. Released v5.0.0.
% 0.12/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35 % Computer : n014.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
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 14:57:23 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a TF0_THM_EQU_ARI problem
% 0.14/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.ga8mrrmq9E/Vampire---4.8_30917
% 0.58/0.73 % (31084)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)
% 0.58/0.74 % (31086)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)
% 0.58/0.74 % (31086)Refutation not found, incomplete strategy% (31086)------------------------------
% 0.58/0.74 % (31086)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.74 % (31086)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.74
% 0.58/0.74 % (31086)Memory used [KB]: 953
% 0.58/0.74 % (31086)Time elapsed: 0.002 s
% 0.58/0.74 % (31086)Instructions burned: 2 (million)
% 0.58/0.74 % (31084)First to succeed.
% 0.58/0.74 % (31086)------------------------------
% 0.58/0.74 % (31086)------------------------------
% 0.58/0.74 % (31078)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)
% 0.58/0.74 % (31084)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-31050"
% 0.58/0.74 % (31079)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)
% 0.58/0.74 % (31080)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.74 % (31081)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)
% 0.58/0.74 % (31082)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)
% 0.58/0.74 % (31084)Refutation found. Thanks to Tanya!
% 0.58/0.74 % SZS status Theorem for Vampire---4
% 0.58/0.74 % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.74 % (31084)------------------------------
% 0.58/0.74 % (31084)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.74 % (31084)Termination reason: Refutation
% 0.58/0.74
% 0.58/0.74 % (31084)Memory used [KB]: 967
% 0.58/0.74 % (31084)Time elapsed: 0.002 s
% 0.58/0.74 % (31084)Instructions burned: 3 (million)
% 0.58/0.74 % (31050)Success in time 0.374 s
% 0.58/0.74 % Vampire---4.8 exiting
%------------------------------------------------------------------------------