TSTP Solution File: MGT058-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : MGT058-1 : TPTP v8.1.2. Released v2.4.0.
% 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 : 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 : Wed May 1 03:22:07 EDT 2024
% Result : Unsatisfiable 0.59s 0.75s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 24
% Syntax : Number of formulae : 73 ( 10 unt; 0 def)
% Number of atoms : 161 ( 12 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 164 ( 76 ~; 75 |; 0 &)
% ( 13 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 14 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 17 ( 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f392,plain,
$false,
inference(avatar_sat_refutation,[],[f44,f53,f170,f235,f265,f290,f315,f318,f322,f333,f345,f353,f366,f376,f391]) ).
fof(f391,plain,
( ~ spl0_12
| ~ spl0_6
| spl0_18 ),
inference(avatar_split_clause,[],[f388,f312,f132,f190]) ).
fof(f190,plain,
( spl0_12
<=> smaller_or_equal(sigma,sigma) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f132,plain,
( spl0_6
<=> sigma = tau ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f312,plain,
( spl0_18
<=> smaller_or_equal(tau,sigma) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f388,plain,
( ~ smaller_or_equal(sigma,sigma)
| ~ spl0_6
| spl0_18 ),
inference(superposition,[],[f314,f134]) ).
fof(f134,plain,
( sigma = tau
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f314,plain,
( ~ smaller_or_equal(tau,sigma)
| spl0_18 ),
inference(avatar_component_clause,[],[f312]) ).
fof(f376,plain,
( ~ spl0_12
| ~ spl0_1
| spl0_14 ),
inference(avatar_split_clause,[],[f371,f204,f37,f190]) ).
fof(f37,plain,
( spl0_1
<=> sigma = zero ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f204,plain,
( spl0_14
<=> smaller_or_equal(zero,sigma) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f371,plain,
( ~ smaller_or_equal(sigma,sigma)
| ~ spl0_1
| spl0_14 ),
inference(superposition,[],[f206,f39]) ).
fof(f39,plain,
( sigma = zero
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f206,plain,
( ~ smaller_or_equal(zero,sigma)
| spl0_14 ),
inference(avatar_component_clause,[],[f204]) ).
fof(f366,plain,
( spl0_14
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f365,f340,f204]) ).
fof(f340,plain,
( spl0_22
<=> smaller(zero,sigma) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f365,plain,
( smaller_or_equal(zero,sigma)
| ~ spl0_22 ),
inference(resolution,[],[f342,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( ~ smaller(X0,X1)
| smaller_or_equal(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.SpgViGnq20/Vampire---4.8_9610',definition_smaller_or_equal_2) ).
fof(f342,plain,
( smaller(zero,sigma)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f340]) ).
fof(f353,plain,
( spl0_20
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f352,f50,f330]) ).
fof(f330,plain,
( spl0_20
<=> smaller_or_equal(zero,tau) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f50,plain,
( spl0_4
<=> greater(tau,zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f352,plain,
( smaller_or_equal(zero,tau)
| ~ spl0_4 ),
inference(resolution,[],[f348,f2]) ).
fof(f348,plain,
( smaller(zero,tau)
| ~ spl0_4 ),
inference(resolution,[],[f52,f8]) ).
fof(f8,axiom,
! [X0,X1] :
( ~ greater(X0,X1)
| smaller(X1,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.SpgViGnq20/Vampire---4.8_9610',definition_smaller_8) ).
fof(f52,plain,
( greater(tau,zero)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f345,plain,
( spl0_22
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f245,f41,f340]) ).
fof(f41,plain,
( spl0_2
<=> greater(sigma,zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f245,plain,
( smaller(zero,sigma)
| ~ spl0_2 ),
inference(resolution,[],[f43,f8]) ).
fof(f43,plain,
( greater(sigma,zero)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f333,plain,
( ~ spl0_14
| ~ spl0_20
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f304,f288,f330,f204]) ).
fof(f288,plain,
( spl0_16
<=> ! [X0] :
( ~ smaller_or_equal(age(sk3,X0),tau)
| ~ smaller_or_equal(age(sk3,X0),sigma) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f304,plain,
( ~ smaller_or_equal(zero,tau)
| ~ smaller_or_equal(zero,sigma)
| ~ spl0_16 ),
inference(superposition,[],[f289,f25]) ).
fof(f25,axiom,
age(sk3,sk4) = zero,
file('/export/starexec/sandbox2/tmp/tmp.SpgViGnq20/Vampire---4.8_9610',lemma_10_43) ).
fof(f289,plain,
( ! [X0] :
( ~ smaller_or_equal(age(sk3,X0),tau)
| ~ smaller_or_equal(age(sk3,X0),sigma) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f288]) ).
fof(f322,plain,
( ~ spl0_2
| ~ spl0_3
| spl0_18 ),
inference(avatar_contradiction_clause,[],[f319]) ).
fof(f319,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| spl0_18 ),
inference(resolution,[],[f314,f256]) ).
fof(f256,plain,
( smaller_or_equal(tau,sigma)
| ~ spl0_2
| ~ spl0_3 ),
inference(resolution,[],[f248,f2]) ).
fof(f248,plain,
( smaller(tau,sigma)
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f245,f48]) ).
fof(f48,plain,
( tau = zero
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f46,plain,
( spl0_3
<=> tau = zero ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f318,plain,
spl0_17,
inference(avatar_contradiction_clause,[],[f316]) ).
fof(f316,plain,
( $false
| spl0_17 ),
inference(resolution,[],[f310,f30]) ).
fof(f30,plain,
! [X1] : smaller_or_equal(X1,X1),
inference(equality_resolution,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] :
( smaller_or_equal(X0,X1)
| X0 != X1 ),
file('/export/starexec/sandbox2/tmp/tmp.SpgViGnq20/Vampire---4.8_9610',definition_smaller_or_equal_3) ).
fof(f310,plain,
( ~ smaller_or_equal(tau,tau)
| spl0_17 ),
inference(avatar_component_clause,[],[f308]) ).
fof(f308,plain,
( spl0_17
<=> smaller_or_equal(tau,tau) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f315,plain,
( ~ spl0_17
| ~ spl0_18
| ~ spl0_3
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f306,f288,f46,f312,f308]) ).
fof(f306,plain,
( ~ smaller_or_equal(tau,sigma)
| ~ smaller_or_equal(tau,tau)
| ~ spl0_3
| ~ spl0_16 ),
inference(forward_demodulation,[],[f305,f48]) ).
fof(f305,plain,
( ~ smaller_or_equal(tau,tau)
| ~ smaller_or_equal(zero,sigma)
| ~ spl0_3
| ~ spl0_16 ),
inference(forward_demodulation,[],[f304,f48]) ).
fof(f290,plain,
( ~ spl0_8
| spl0_16 ),
inference(avatar_split_clause,[],[f286,f288,f162]) ).
fof(f162,plain,
( spl0_8
<=> fragile_position(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f286,plain,
! [X0] :
( ~ smaller_or_equal(age(sk3,X0),tau)
| ~ smaller_or_equal(age(sk3,X0),sigma)
| ~ fragile_position(sk3) ),
inference(resolution,[],[f175,f12]) ).
fof(f12,axiom,
! [X0,X1] :
( positional_advantage(X0,X1)
| ~ smaller_or_equal(age(X0,X1),sigma)
| ~ fragile_position(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.SpgViGnq20/Vampire---4.8_9610',definition_3_30) ).
fof(f175,plain,
! [X0] :
( ~ positional_advantage(sk3,X0)
| ~ smaller_or_equal(age(sk3,X0),tau) ),
inference(resolution,[],[f18,f29]) ).
fof(f29,axiom,
robust_position(sk3),
file('/export/starexec/sandbox2/tmp/tmp.SpgViGnq20/Vampire---4.8_9610',lemma_10_47) ).
fof(f18,axiom,
! [X0,X1] :
( ~ robust_position(X0)
| ~ smaller_or_equal(age(X0,X1),tau)
| ~ positional_advantage(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.SpgViGnq20/Vampire---4.8_9610',definition_4_36) ).
fof(f265,plain,
spl0_12,
inference(avatar_contradiction_clause,[],[f263]) ).
fof(f263,plain,
( $false
| spl0_12 ),
inference(resolution,[],[f192,f30]) ).
fof(f192,plain,
( ~ smaller_or_equal(sigma,sigma)
| spl0_12 ),
inference(avatar_component_clause,[],[f190]) ).
fof(f235,plain,
( spl0_6
| ~ spl0_1
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f234,f46,f37,f132]) ).
fof(f234,plain,
( sigma = tau
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f48,f39]) ).
fof(f170,plain,
spl0_8,
inference(avatar_contradiction_clause,[],[f169]) ).
fof(f169,plain,
( $false
| spl0_8 ),
inference(resolution,[],[f164,f28]) ).
fof(f28,axiom,
fragile_position(sk3),
file('/export/starexec/sandbox2/tmp/tmp.SpgViGnq20/Vampire---4.8_9610',lemma_10_46) ).
fof(f164,plain,
( ~ fragile_position(sk3)
| spl0_8 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f53,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f34,f50,f46]) ).
fof(f34,plain,
( greater(tau,zero)
| tau = zero ),
inference(resolution,[],[f4,f27]) ).
fof(f27,axiom,
greater_or_equal(tau,zero),
file('/export/starexec/sandbox2/tmp/tmp.SpgViGnq20/Vampire---4.8_9610',lemma_10_45) ).
fof(f4,axiom,
! [X0,X1] :
( ~ greater_or_equal(X0,X1)
| greater(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/tmp/tmp.SpgViGnq20/Vampire---4.8_9610',definition_greater_or_equal_4) ).
fof(f44,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f33,f41,f37]) ).
fof(f33,plain,
( greater(sigma,zero)
| sigma = zero ),
inference(resolution,[],[f4,f26]) ).
fof(f26,axiom,
greater_or_equal(sigma,zero),
file('/export/starexec/sandbox2/tmp/tmp.SpgViGnq20/Vampire---4.8_9610',lemma_10_44) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : MGT058-1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.14 % 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 : n008.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 : Tue Apr 30 18:12:13 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a CNF_UNS_RFO_SEQ_NHN 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.SpgViGnq20/Vampire---4.8_9610
% 0.59/0.74 % (9808)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)
% 0.59/0.74 % (9814)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)
% 0.59/0.74 % (9807)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)
% 0.59/0.74 % (9811)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)
% 0.59/0.74 % (9810)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)
% 0.59/0.74 % (9812)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)
% 0.59/0.74 % (9809)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.59/0.74 % (9813)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)
% 0.59/0.74 % (9810)Refutation not found, incomplete strategy% (9810)------------------------------
% 0.59/0.74 % (9810)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.74 % (9810)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.74 % (9807)Refutation not found, incomplete strategy% (9807)------------------------------
% 0.59/0.74 % (9807)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.74 % (9807)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.74
% 0.59/0.74 % (9807)Memory used [KB]: 979
% 0.59/0.74 % (9807)Time elapsed: 0.003 s
% 0.59/0.74 % (9807)Instructions burned: 3 (million)
% 0.59/0.74 % (9807)------------------------------
% 0.59/0.74 % (9807)------------------------------
% 0.59/0.74
% 0.59/0.74 % (9810)Memory used [KB]: 964
% 0.59/0.74 % (9810)Time elapsed: 0.003 s
% 0.59/0.74 % (9810)Instructions burned: 2 (million)
% 0.59/0.74 % (9810)------------------------------
% 0.59/0.74 % (9810)------------------------------
% 0.59/0.74 % (9808)First to succeed.
% 0.59/0.75 % (9813)Also succeeded, but the first one will report.
% 0.59/0.75 % (9809)Also succeeded, but the first one will report.
% 0.59/0.75 % (9808)Refutation found. Thanks to Tanya!
% 0.59/0.75 % SZS status Unsatisfiable for Vampire---4
% 0.59/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.75 % (9808)------------------------------
% 0.59/0.75 % (9808)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.75 % (9808)Termination reason: Refutation
% 0.59/0.75
% 0.59/0.75 % (9808)Memory used [KB]: 1125
% 0.59/0.75 % (9808)Time elapsed: 0.007 s
% 0.59/0.75 % (9808)Instructions burned: 14 (million)
% 0.59/0.75 % (9808)------------------------------
% 0.59/0.75 % (9808)------------------------------
% 0.59/0.75 % (9768)Success in time 0.38 s
% 0.59/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------