TSTP Solution File: MGT043+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : MGT043+1 : TPTP v8.2.0. 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/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 00:42:23 EDT 2024
% Result : Theorem 0.56s 0.73s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 7
% Syntax : Number of formulae : 48 ( 16 unt; 0 def)
% Number of atoms : 200 ( 53 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 226 ( 74 ~; 58 |; 64 &)
% ( 3 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 79 ( 73 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f134,plain,
$false,
inference(subsumption_resolution,[],[f133,f54]) ).
fof(f54,plain,
! [X1] : greater_or_equal(X1,X1),
inference(equality_resolution,[],[f51]) ).
fof(f51,plain,
! [X0,X1] :
( X0 != X1
| greater_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1] :
( greater_or_equal(X0,X1)
| ( X0 != X1
& ~ greater(X0,X1) ) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X1] :
( ( X0 = X1
| greater(X0,X1) )
=> greater_or_equal(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( greater_or_equal(X0,X1)
<=> ( X0 = X1
| greater(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_greater_or_equal) ).
fof(f133,plain,
~ greater_or_equal(position(sK0,sK1),position(sK0,sK1)),
inference(forward_demodulation,[],[f123,f75]) ).
fof(f75,plain,
position(sK0,sK1) = position(sK0,sK2),
inference(unit_resulting_resolution,[],[f30,f35,f46]) ).
fof(f46,plain,
! [X2,X0,X1] :
( ~ organization(X0)
| external_ties(X0,X2) != external_ties(X0,X1)
| position(X0,X2) = position(X0,X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1,X2] :
( ( ( position(X0,X2) = position(X0,X1)
| external_ties(X0,X2) != external_ties(X0,X1) )
& ( greater(position(X0,X2),position(X0,X1))
| ~ greater(external_ties(X0,X2),external_ties(X0,X1)) ) )
| ~ organization(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0,X1,X2] :
( organization(X0)
=> ( ( external_ties(X0,X2) = external_ties(X0,X1)
=> position(X0,X2) = position(X0,X1) )
& ( greater(external_ties(X0,X2),external_ties(X0,X1))
=> greater(position(X0,X2),position(X0,X1)) ) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X0,X3,X4] :
( organization(X0)
=> ( ( external_ties(X0,X4) = external_ties(X0,X3)
=> position(X0,X4) = position(X0,X3) )
& ( greater(external_ties(X0,X4),external_ties(X0,X3))
=> greater(position(X0,X4),position(X0,X3)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_6) ).
fof(f35,plain,
external_ties(sK0,sK2) = external_ties(sK0,sK1),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
? [X0,X1,X2] :
( ~ greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
& external_ties(X0,X2) = external_ties(X0,X1)
& greater(internal_friction(X0,X2),internal_friction(X0,X1))
& stock_of_knowledge(X0,X2) = stock_of_knowledge(X0,X1)
& ~ has_immunity(X0,X2)
& ~ has_immunity(X0,X1)
& organization(X0) ),
inference(flattening,[],[f18]) ).
fof(f18,plain,
? [X0,X1,X2] :
( ~ greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
& external_ties(X0,X2) = external_ties(X0,X1)
& greater(internal_friction(X0,X2),internal_friction(X0,X1))
& stock_of_knowledge(X0,X2) = stock_of_knowledge(X0,X1)
& ~ has_immunity(X0,X2)
& ~ has_immunity(X0,X1)
& organization(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,plain,
~ ! [X0,X1,X2] :
( ( external_ties(X0,X2) = external_ties(X0,X1)
& greater(internal_friction(X0,X2),internal_friction(X0,X1))
& stock_of_knowledge(X0,X2) = stock_of_knowledge(X0,X1)
& ~ has_immunity(X0,X2)
& ~ has_immunity(X0,X1)
& organization(X0) )
=> greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) ),
inference(rectify,[],[f11]) ).
fof(f11,negated_conjecture,
~ ! [X0,X3,X4] :
( ( external_ties(X0,X4) = external_ties(X0,X3)
& greater(internal_friction(X0,X4),internal_friction(X0,X3))
& stock_of_knowledge(X0,X4) = stock_of_knowledge(X0,X3)
& ~ has_immunity(X0,X4)
& ~ has_immunity(X0,X3)
& organization(X0) )
=> greater(hazard_of_mortality(X0,X4),hazard_of_mortality(X0,X3)) ),
inference(negated_conjecture,[],[f10]) ).
fof(f10,conjecture,
! [X0,X3,X4] :
( ( external_ties(X0,X4) = external_ties(X0,X3)
& greater(internal_friction(X0,X4),internal_friction(X0,X3))
& stock_of_knowledge(X0,X4) = stock_of_knowledge(X0,X3)
& ~ has_immunity(X0,X4)
& ~ has_immunity(X0,X3)
& organization(X0) )
=> greater(hazard_of_mortality(X0,X4),hazard_of_mortality(X0,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_2) ).
fof(f30,plain,
organization(sK0),
inference(cnf_transformation,[],[f19]) ).
fof(f123,plain,
~ greater_or_equal(position(sK0,sK1),position(sK0,sK2)),
inference(unit_resulting_resolution,[],[f30,f31,f32,f82,f101,f40]) ).
fof(f40,plain,
! [X2,X0,X1] :
( ~ greater(capability(X0,X2),capability(X0,X1))
| has_immunity(X0,X1)
| has_immunity(X0,X2)
| ~ organization(X0)
| ~ greater_or_equal(position(X0,X2),position(X0,X1))
| smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1,X2] :
( ( ( hazard_of_mortality(X0,X2) = hazard_of_mortality(X0,X1)
| position(X0,X2) != position(X0,X1)
| capability(X0,X2) != capability(X0,X1) )
& ( smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| ~ greater(position(X0,X2),position(X0,X1))
| ~ greater_or_equal(capability(X0,X2),capability(X0,X1)) )
& ( smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| ~ greater_or_equal(position(X0,X2),position(X0,X1))
| ~ greater(capability(X0,X2),capability(X0,X1)) ) )
| has_immunity(X0,X2)
| has_immunity(X0,X1)
| ~ organization(X0) ),
inference(flattening,[],[f20]) ).
fof(f20,plain,
! [X0,X1,X2] :
( ( ( hazard_of_mortality(X0,X2) = hazard_of_mortality(X0,X1)
| position(X0,X2) != position(X0,X1)
| capability(X0,X2) != capability(X0,X1) )
& ( smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| ~ greater(position(X0,X2),position(X0,X1))
| ~ greater_or_equal(capability(X0,X2),capability(X0,X1)) )
& ( smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| ~ greater_or_equal(position(X0,X2),position(X0,X1))
| ~ greater(capability(X0,X2),capability(X0,X1)) ) )
| has_immunity(X0,X2)
| has_immunity(X0,X1)
| ~ organization(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,plain,
! [X0,X1,X2] :
( ( ~ has_immunity(X0,X2)
& ~ has_immunity(X0,X1)
& organization(X0) )
=> ( ( ( position(X0,X2) = position(X0,X1)
& capability(X0,X2) = capability(X0,X1) )
=> hazard_of_mortality(X0,X2) = hazard_of_mortality(X0,X1) )
& ( ( greater(position(X0,X2),position(X0,X1))
& greater_or_equal(capability(X0,X2),capability(X0,X1)) )
=> smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) )
& ( ( greater_or_equal(position(X0,X2),position(X0,X1))
& greater(capability(X0,X2),capability(X0,X1)) )
=> smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) ) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X0,X3,X4] :
( ( ~ has_immunity(X0,X4)
& ~ has_immunity(X0,X3)
& organization(X0) )
=> ( ( ( position(X0,X4) = position(X0,X3)
& capability(X0,X4) = capability(X0,X3) )
=> hazard_of_mortality(X0,X4) = hazard_of_mortality(X0,X3) )
& ( ( greater(position(X0,X4),position(X0,X3))
& greater_or_equal(capability(X0,X4),capability(X0,X3)) )
=> smaller(hazard_of_mortality(X0,X4),hazard_of_mortality(X0,X3)) )
& ( ( greater_or_equal(position(X0,X4),position(X0,X3))
& greater(capability(X0,X4),capability(X0,X3)) )
=> smaller(hazard_of_mortality(X0,X4),hazard_of_mortality(X0,X3)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_4) ).
fof(f101,plain,
greater(capability(sK0,sK1),capability(sK0,sK2)),
inference(unit_resulting_resolution,[],[f73,f49]) ).
fof(f49,plain,
! [X0,X1] :
( greater(X1,X0)
| ~ smaller(X0,X1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] :
( smaller(X0,X1)
<=> greater(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller) ).
fof(f73,plain,
smaller(capability(sK0,sK2),capability(sK0,sK1)),
inference(subsumption_resolution,[],[f72,f55]) ).
fof(f55,plain,
! [X1] : smaller_or_equal(X1,X1),
inference(equality_resolution,[],[f53]) ).
fof(f53,plain,
! [X0,X1] :
( X0 != X1
| smaller_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1] :
( smaller_or_equal(X0,X1)
| ( X0 != X1
& ~ smaller(X0,X1) ) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X1] :
( ( X0 = X1
| smaller(X0,X1) )
=> smaller_or_equal(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( smaller_or_equal(X0,X1)
<=> ( X0 = X1
| smaller(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_or_equal) ).
fof(f72,plain,
( ~ smaller_or_equal(stock_of_knowledge(sK0,sK1),stock_of_knowledge(sK0,sK1))
| smaller(capability(sK0,sK2),capability(sK0,sK1)) ),
inference(forward_demodulation,[],[f71,f33]) ).
fof(f33,plain,
stock_of_knowledge(sK0,sK2) = stock_of_knowledge(sK0,sK1),
inference(cnf_transformation,[],[f19]) ).
fof(f71,plain,
( ~ smaller_or_equal(stock_of_knowledge(sK0,sK2),stock_of_knowledge(sK0,sK1))
| smaller(capability(sK0,sK2),capability(sK0,sK1)) ),
inference(subsumption_resolution,[],[f66,f30]) ).
fof(f66,plain,
( ~ smaller_or_equal(stock_of_knowledge(sK0,sK2),stock_of_knowledge(sK0,sK1))
| ~ organization(sK0)
| smaller(capability(sK0,sK2),capability(sK0,sK1)) ),
inference(resolution,[],[f34,f42]) ).
fof(f42,plain,
! [X2,X0,X1] :
( ~ greater(internal_friction(X0,X2),internal_friction(X0,X1))
| ~ smaller_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
| ~ organization(X0)
| smaller(capability(X0,X2),capability(X0,X1)) ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1,X2] :
( ( ( capability(X0,X2) = capability(X0,X1)
| internal_friction(X0,X2) != internal_friction(X0,X1)
| stock_of_knowledge(X0,X2) != stock_of_knowledge(X0,X1) )
& ( smaller(capability(X0,X2),capability(X0,X1))
| ~ greater(internal_friction(X0,X2),internal_friction(X0,X1))
| ~ smaller_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1)) )
& ( greater(capability(X0,X2),capability(X0,X1))
| ~ smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1))
| ~ greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1)) ) )
| ~ organization(X0) ),
inference(flattening,[],[f22]) ).
fof(f22,plain,
! [X0,X1,X2] :
( ( ( capability(X0,X2) = capability(X0,X1)
| internal_friction(X0,X2) != internal_friction(X0,X1)
| stock_of_knowledge(X0,X2) != stock_of_knowledge(X0,X1) )
& ( smaller(capability(X0,X2),capability(X0,X1))
| ~ greater(internal_friction(X0,X2),internal_friction(X0,X1))
| ~ smaller_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1)) )
& ( greater(capability(X0,X2),capability(X0,X1))
| ~ smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1))
| ~ greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1)) ) )
| ~ organization(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0,X1,X2] :
( organization(X0)
=> ( ( ( internal_friction(X0,X2) = internal_friction(X0,X1)
& stock_of_knowledge(X0,X2) = stock_of_knowledge(X0,X1) )
=> capability(X0,X2) = capability(X0,X1) )
& ( ( greater(internal_friction(X0,X2),internal_friction(X0,X1))
& smaller_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1)) )
=> smaller(capability(X0,X2),capability(X0,X1)) )
& ( ( smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1))
& greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1)) )
=> greater(capability(X0,X2),capability(X0,X1)) ) ) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X0,X3,X4] :
( organization(X0)
=> ( ( ( internal_friction(X0,X4) = internal_friction(X0,X3)
& stock_of_knowledge(X0,X4) = stock_of_knowledge(X0,X3) )
=> capability(X0,X4) = capability(X0,X3) )
& ( ( greater(internal_friction(X0,X4),internal_friction(X0,X3))
& smaller_or_equal(stock_of_knowledge(X0,X4),stock_of_knowledge(X0,X3)) )
=> smaller(capability(X0,X4),capability(X0,X3)) )
& ( ( smaller_or_equal(internal_friction(X0,X4),internal_friction(X0,X3))
& greater(stock_of_knowledge(X0,X4),stock_of_knowledge(X0,X3)) )
=> greater(capability(X0,X4),capability(X0,X3)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_5) ).
fof(f34,plain,
greater(internal_friction(sK0,sK2),internal_friction(sK0,sK1)),
inference(cnf_transformation,[],[f19]) ).
fof(f82,plain,
~ smaller(hazard_of_mortality(sK0,sK1),hazard_of_mortality(sK0,sK2)),
inference(unit_resulting_resolution,[],[f36,f49]) ).
fof(f36,plain,
~ greater(hazard_of_mortality(sK0,sK2),hazard_of_mortality(sK0,sK1)),
inference(cnf_transformation,[],[f19]) ).
fof(f32,plain,
~ has_immunity(sK0,sK2),
inference(cnf_transformation,[],[f19]) ).
fof(f31,plain,
~ has_immunity(sK0,sK1),
inference(cnf_transformation,[],[f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : MGT043+1 : TPTP v8.2.0. Released v2.4.0.
% 0.06/0.14 % 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 : Sun May 19 00:09:08 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
% 0.56/0.72 % (17621)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)
% 0.56/0.72 % (17616)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.56/0.72 % (17614)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)
% 0.56/0.72 % (17618)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)
% 0.56/0.72 % (17615)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)
% 0.56/0.72 % (17619)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)
% 0.56/0.72 % (17617)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)
% 0.56/0.72 % (17620)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)
% 0.56/0.73 % (17617)Refutation not found, incomplete strategy% (17617)------------------------------
% 0.56/0.73 % (17617)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.73 % (17617)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73
% 0.56/0.73 % (17617)Memory used [KB]: 1053
% 0.56/0.73 % (17617)Time elapsed: 0.004 s
% 0.56/0.73 % (17617)Instructions burned: 3 (million)
% 0.56/0.73 % (17617)------------------------------
% 0.56/0.73 % (17617)------------------------------
% 0.56/0.73 % (17620)First to succeed.
% 0.56/0.73 % (17620)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-17613"
% 0.56/0.73 % (17620)Refutation found. Thanks to Tanya!
% 0.56/0.73 % SZS status Theorem for theBenchmark
% 0.56/0.73 % SZS output start Proof for theBenchmark
% See solution above
% 0.56/0.73 % (17620)------------------------------
% 0.56/0.73 % (17620)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.73 % (17620)Termination reason: Refutation
% 0.56/0.73
% 0.56/0.73 % (17620)Memory used [KB]: 1083
% 0.56/0.73 % (17620)Time elapsed: 0.007 s
% 0.56/0.73 % (17620)Instructions burned: 9 (million)
% 0.56/0.73 % (17613)Success in time 0.375 s
% 0.56/0.73 % Vampire---4.8 exiting
%------------------------------------------------------------------------------