TSTP Solution File: NUM865_1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM865_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 : 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 08:16:06 EDT 2024
% Result : Theorem 0.54s 0.74s
% Output : Refutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 27 ( 14 unt; 7 typ; 0 def)
% Number of atoms : 49 ( 48 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 41 ( 12 ~; 0 |; 26 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 93 ( 0 atm; 53 fun; 0 num; 40 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 : 8 ( 7 usr; 7 con; 0-2 aty)
% Number of variables : 40 ( 19 !; 21 ?; 40 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_4,type,
sK0: $int ).
tff(func_def_5,type,
sK1: $int ).
tff(func_def_6,type,
sK2: $int ).
tff(func_def_7,type,
sK3: $int ).
tff(func_def_8,type,
sK4: $int ).
tff(func_def_9,type,
sK5: $int ).
tff(func_def_10,type,
sK6: $int ).
tff(f31,plain,
$false,
inference(subsumption_resolution,[],[f29,f4]) ).
tff(f4,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(theory_axiom_136,[]) ).
tff(f29,plain,
$sum(sK0,$sum(sK1,sK2)) != $sum($sum(sK0,sK1),sK2),
inference(superposition,[],[f28,f3]) ).
tff(f3,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f28,plain,
$sum(sK0,$sum(sK1,sK2)) != $sum(sK2,$sum(sK0,sK1)),
inference(forward_demodulation,[],[f27,f19]) ).
tff(f19,plain,
sK3 = $sum(sK0,sK1),
inference(cnf_transformation,[],[f18]) ).
tff(f18,plain,
( ( sK4 != sK6 )
& ( sK6 = $sum(sK0,sK5) )
& ( sK5 = $sum(sK1,sK2) )
& ( sK4 = $sum(sK3,sK2) )
& ( sK3 = $sum(sK0,sK1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6])],[f16,f17]) ).
tff(f17,plain,
( ? [X0: $int,X1: $int,X2: $int,X3: $int,X4: $int,X5: $int,X6: $int] :
( ( X4 != X6 )
& ( $sum(X0,X5) = X6 )
& ( $sum(X1,X2) = X5 )
& ( $sum(X3,X2) = X4 )
& ( $sum(X0,X1) = X3 ) )
=> ( ( sK4 != sK6 )
& ( sK6 = $sum(sK0,sK5) )
& ( sK5 = $sum(sK1,sK2) )
& ( sK4 = $sum(sK3,sK2) )
& ( sK3 = $sum(sK0,sK1) ) ) ),
introduced(choice_axiom,[]) ).
tff(f16,plain,
? [X0: $int,X1: $int,X2: $int,X3: $int,X4: $int,X5: $int,X6: $int] :
( ( X4 != X6 )
& ( $sum(X0,X5) = X6 )
& ( $sum(X1,X2) = X5 )
& ( $sum(X3,X2) = X4 )
& ( $sum(X0,X1) = X3 ) ),
inference(flattening,[],[f15]) ).
tff(f15,plain,
? [X0: $int,X1: $int,X2: $int,X3: $int,X4: $int,X5: $int,X6: $int] :
( ( X4 != X6 )
& ( $sum(X0,X5) = X6 )
& ( $sum(X1,X2) = X5 )
& ( $sum(X3,X2) = X4 )
& ( $sum(X0,X1) = X3 ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $int,X1: $int,X2: $int,X3: $int,X4: $int,X5: $int,X6: $int] :
( ( ( $sum(X0,X5) = X6 )
& ( $sum(X1,X2) = X5 )
& ( $sum(X3,X2) = X4 )
& ( $sum(X0,X1) = X3 ) )
=> ( X4 = X6 ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $int,X1: $int,X2: $int,X3: $int,X4: $int,X5: $int,X6: $int] :
( ( ( $sum(X0,X5) = X6 )
& ( $sum(X1,X2) = X5 )
& ( $sum(X3,X2) = X4 )
& ( $sum(X0,X1) = X3 ) )
=> ( X4 = X6 ) ),
file('/export/starexec/sandbox2/tmp/tmp.DQwjKwb8wv/Vampire---4.8_17888',associative_sum_forall) ).
tff(f27,plain,
$sum(sK2,sK3) != $sum(sK0,$sum(sK1,sK2)),
inference(superposition,[],[f26,f24]) ).
tff(f24,plain,
sK4 = $sum(sK2,sK3),
inference(forward_demodulation,[],[f20,f3]) ).
tff(f20,plain,
sK4 = $sum(sK3,sK2),
inference(cnf_transformation,[],[f18]) ).
tff(f26,plain,
sK4 != $sum(sK0,$sum(sK1,sK2)),
inference(forward_demodulation,[],[f25,f21]) ).
tff(f21,plain,
sK5 = $sum(sK1,sK2),
inference(cnf_transformation,[],[f18]) ).
tff(f25,plain,
sK4 != $sum(sK0,sK5),
inference(superposition,[],[f23,f22]) ).
tff(f22,plain,
sK6 = $sum(sK0,sK5),
inference(cnf_transformation,[],[f18]) ).
tff(f23,plain,
sK4 != sK6,
inference(cnf_transformation,[],[f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : NUM865_1 : TPTP v8.1.2. Released v5.0.0.
% 0.10/0.13 % 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
% 0.12/0.33 % Computer : n007.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri May 3 14:58:08 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.33 This is a TF0_THM_EQU_ARI problem
% 0.12/0.33 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.DQwjKwb8wv/Vampire---4.8_17888
% 0.54/0.74 % (17996)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)
% 0.54/0.74 % (17998)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.54/0.74 % (18001)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)
% 0.54/0.74 % (17999)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)
% 0.54/0.74 % (18000)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)
% 0.54/0.74 % (18002)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)
% 0.54/0.74 % (18003)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)
% 0.54/0.74 % (17997)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)
% 0.54/0.74 % (17996)Refutation not found, incomplete strategy% (17996)------------------------------
% 0.54/0.74 % (17996)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.74 % (17996)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.74
% 0.54/0.74 % (17996)Memory used [KB]: 972
% 0.54/0.74 % (17996)Time elapsed: 0.003 s
% 0.54/0.74 % (17996)Instructions burned: 3 (million)
% 0.54/0.74 % (17999)Refutation not found, incomplete strategy% (17999)------------------------------
% 0.54/0.74 % (17999)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.74 % (17999)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.74
% 0.54/0.74 % (17999)Memory used [KB]: 956
% 0.54/0.74 % (17999)Time elapsed: 0.003 s
% 0.54/0.74 % (17999)Instructions burned: 2 (million)
% 0.54/0.74 % (17996)------------------------------
% 0.54/0.74 % (17996)------------------------------
% 0.54/0.74 % (18003)Refutation not found, incomplete strategy% (18003)------------------------------
% 0.54/0.74 % (18003)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.74 % (18001)First to succeed.
% 0.54/0.74 % (18003)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.74
% 0.54/0.74 % (18003)Memory used [KB]: 954
% 0.54/0.74 % (18003)Time elapsed: 0.002 s
% 0.54/0.74 % (18003)Instructions burned: 2 (million)
% 0.54/0.74 % (17999)------------------------------
% 0.54/0.74 % (17999)------------------------------
% 0.54/0.74 % (18003)------------------------------
% 0.54/0.74 % (18003)------------------------------
% 0.54/0.74 % (18001)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-17995"
% 0.54/0.74 % (18001)Refutation found. Thanks to Tanya!
% 0.54/0.74 % SZS status Theorem for Vampire---4
% 0.54/0.74 % SZS output start Proof for Vampire---4
% See solution above
% 0.54/0.74 % (18001)------------------------------
% 0.54/0.74 % (18001)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.74 % (18001)Termination reason: Refutation
% 0.54/0.74
% 0.54/0.74 % (18001)Memory used [KB]: 964
% 0.54/0.74 % (18001)Time elapsed: 0.003 s
% 0.54/0.74 % (18001)Instructions burned: 3 (million)
% 0.54/0.74 % (17995)Success in time 0.397 s
% 0.54/0.74 % Vampire---4.8 exiting
%------------------------------------------------------------------------------