TSTP Solution File: MGT021+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : MGT021+1 : TPTP v8.2.0. Released v2.0.0.
% 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 : n029.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 00:42:08 EDT 2024
% Result : Theorem 0.47s 0.65s
% Output : Refutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of formulae : 57 ( 8 unt; 0 def)
% Number of atoms : 182 ( 0 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 221 ( 96 ~; 87 |; 23 &)
% ( 2 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 3 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 64 ( 58 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f65,plain,
$false,
inference(avatar_sat_refutation,[],[f49,f59,f64]) ).
fof(f64,plain,
spl2_1,
inference(avatar_contradiction_clause,[],[f63]) ).
fof(f63,plain,
( $false
| spl2_1 ),
inference(subsumption_resolution,[],[f62,f27]) ).
fof(f27,plain,
environment(sK0),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
( decreases(difference(disbanding_rate(first_movers,sK1),disbanding_rate(efficient_producers,sK1)))
& subpopulations(first_movers,efficient_producers,sK0,sK1)
& environment(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f15,f21]) ).
fof(f21,plain,
( ? [X0,X1] :
( decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
& subpopulations(first_movers,efficient_producers,X0,X1)
& environment(X0) )
=> ( decreases(difference(disbanding_rate(first_movers,sK1),disbanding_rate(efficient_producers,sK1)))
& subpopulations(first_movers,efficient_producers,sK0,sK1)
& environment(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f15,plain,
? [X0,X1] :
( decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
& subpopulations(first_movers,efficient_producers,X0,X1)
& environment(X0) ),
inference(flattening,[],[f14]) ).
fof(f14,plain,
? [X0,X1] :
( decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
& subpopulations(first_movers,efficient_producers,X0,X1)
& environment(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,negated_conjecture,
~ ! [X0,X1] :
( ( subpopulations(first_movers,efficient_producers,X0,X1)
& environment(X0) )
=> ~ decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))) ),
inference(negated_conjecture,[],[f7]) ).
fof(f7,conjecture,
! [X0,X1] :
( ( subpopulations(first_movers,efficient_producers,X0,X1)
& environment(X0) )
=> ~ decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l3) ).
fof(f62,plain,
( ~ environment(sK0)
| spl2_1 ),
inference(subsumption_resolution,[],[f61,f55]) ).
fof(f55,plain,
( constant(resources(sK0,sK1))
| spl2_1 ),
inference(subsumption_resolution,[],[f54,f44]) ).
fof(f44,plain,
( ~ greater(equilibrium(sK0),sK1)
| spl2_1 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f42,plain,
( spl2_1
<=> greater(equilibrium(sK0),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f54,plain,
( constant(resources(sK0,sK1))
| greater(equilibrium(sK0),sK1) ),
inference(subsumption_resolution,[],[f53,f27]) ).
fof(f53,plain,
( constant(resources(sK0,sK1))
| ~ environment(sK0)
| greater(equilibrium(sK0),sK1) ),
inference(resolution,[],[f52,f28]) ).
fof(f28,plain,
subpopulations(first_movers,efficient_producers,sK0,sK1),
inference(cnf_transformation,[],[f22]) ).
fof(f52,plain,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| constant(resources(X0,X1))
| ~ environment(X0)
| greater(equilibrium(X0),X1) ),
inference(subsumption_resolution,[],[f51,f31]) ).
fof(f31,plain,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X1] :
( in_environment(X0,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(flattening,[],[f18]) ).
fof(f18,plain,
! [X0,X1] :
( in_environment(X0,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ( subpopulations(first_movers,efficient_producers,X0,X1)
& environment(X0) )
=> in_environment(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_time_point_in_environment) ).
fof(f51,plain,
! [X0,X1] :
( greater(equilibrium(X0),X1)
| constant(resources(X0,X1))
| ~ in_environment(X0,X1)
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(duplicate_literal_removal,[],[f50]) ).
fof(f50,plain,
! [X0,X1] :
( greater(equilibrium(X0),X1)
| constant(resources(X0,X1))
| ~ in_environment(X0,X1)
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(resolution,[],[f24,f30]) ).
fof(f30,plain,
! [X0,X1] :
( greater(number_of_organizations(X0,X1),zero)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X1] :
( greater(number_of_organizations(X0,X1),zero)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(flattening,[],[f16]) ).
fof(f16,plain,
! [X0,X1] :
( greater(number_of_organizations(X0,X1),zero)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( ( subpopulations(first_movers,efficient_producers,X0,X1)
& environment(X0) )
=> greater(number_of_organizations(X0,X1),zero) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_environment_not_empty) ).
fof(f24,plain,
! [X0,X1] :
( ~ greater(number_of_organizations(X0,X1),zero)
| greater(equilibrium(X0),X1)
| constant(resources(X0,X1))
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0,X1] :
( ( ( constant(resources(X0,X1))
| greater(equilibrium(X0),X1) )
& ( decreases(resources(X0,X1))
| ~ greater(equilibrium(X0),X1) ) )
| ~ greater(number_of_organizations(X0,X1),zero)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(flattening,[],[f10]) ).
fof(f10,plain,
! [X0,X1] :
( ( ( constant(resources(X0,X1))
| greater(equilibrium(X0),X1) )
& ( decreases(resources(X0,X1))
| ~ greater(equilibrium(X0),X1) ) )
| ~ greater(number_of_organizations(X0,X1),zero)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( ( greater(number_of_organizations(X0,X1),zero)
& in_environment(X0,X1)
& environment(X0) )
=> ( ( ~ greater(equilibrium(X0),X1)
=> constant(resources(X0,X1)) )
& ( greater(equilibrium(X0),X1)
=> decreases(resources(X0,X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a3) ).
fof(f61,plain,
( ~ constant(resources(sK0,sK1))
| ~ environment(sK0) ),
inference(resolution,[],[f60,f28]) ).
fof(f60,plain,
! [X0] :
( ~ subpopulations(first_movers,efficient_producers,X0,sK1)
| ~ constant(resources(X0,sK1))
| ~ environment(X0) ),
inference(resolution,[],[f26,f29]) ).
fof(f29,plain,
decreases(difference(disbanding_rate(first_movers,sK1),disbanding_rate(efficient_producers,sK1))),
inference(cnf_transformation,[],[f22]) ).
fof(f26,plain,
! [X0,X1] :
( ~ decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
| ~ constant(resources(X0,X1))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f13,plain,
! [X0,X1] :
( ( ( ~ decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
| ~ constant(resources(X0,X1)) )
& ( increases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
| ~ decreases(resources(X0,X1)) ) )
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(flattening,[],[f12]) ).
fof(f12,plain,
! [X0,X1] :
( ( ( ~ decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
| ~ constant(resources(X0,X1)) )
& ( increases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
| ~ decreases(resources(X0,X1)) ) )
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] :
( ( subpopulations(first_movers,efficient_producers,X0,X1)
& environment(X0) )
=> ( ( constant(resources(X0,X1))
=> ~ decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))) )
& ( decreases(resources(X0,X1))
=> increases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l4) ).
fof(f59,plain,
~ spl2_2,
inference(avatar_split_clause,[],[f58,f46]) ).
fof(f46,plain,
( spl2_2
<=> decreases(resources(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f58,plain,
~ decreases(resources(sK0,sK1)),
inference(subsumption_resolution,[],[f57,f27]) ).
fof(f57,plain,
( ~ decreases(resources(sK0,sK1))
| ~ environment(sK0) ),
inference(resolution,[],[f56,f28]) ).
fof(f56,plain,
! [X0] :
( ~ subpopulations(first_movers,efficient_producers,X0,sK1)
| ~ decreases(resources(X0,sK1))
| ~ environment(X0) ),
inference(resolution,[],[f25,f35]) ).
fof(f35,plain,
~ increases(difference(disbanding_rate(first_movers,sK1),disbanding_rate(efficient_producers,sK1))),
inference(resolution,[],[f29,f32]) ).
fof(f32,plain,
! [X0] :
( ~ decreases(X0)
| ~ increases(X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0] :
( ~ decreases(X0)
| ~ increases(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,plain,
! [X0] :
( increases(X0)
=> ~ decreases(X0) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X2] :
( increases(X2)
=> ~ decreases(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_increase_not_decrease) ).
fof(f25,plain,
! [X0,X1] :
( increases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
| ~ decreases(resources(X0,X1))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f49,plain,
( ~ spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f40,f46,f42]) ).
fof(f40,plain,
( decreases(resources(sK0,sK1))
| ~ greater(equilibrium(sK0),sK1) ),
inference(subsumption_resolution,[],[f39,f27]) ).
fof(f39,plain,
( decreases(resources(sK0,sK1))
| ~ environment(sK0)
| ~ greater(equilibrium(sK0),sK1) ),
inference(resolution,[],[f38,f28]) ).
fof(f38,plain,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| decreases(resources(X0,X1))
| ~ environment(X0)
| ~ greater(equilibrium(X0),X1) ),
inference(subsumption_resolution,[],[f37,f31]) ).
fof(f37,plain,
! [X0,X1] :
( ~ greater(equilibrium(X0),X1)
| decreases(resources(X0,X1))
| ~ in_environment(X0,X1)
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(duplicate_literal_removal,[],[f36]) ).
fof(f36,plain,
! [X0,X1] :
( ~ greater(equilibrium(X0),X1)
| decreases(resources(X0,X1))
| ~ in_environment(X0,X1)
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(resolution,[],[f23,f30]) ).
fof(f23,plain,
! [X0,X1] :
( ~ greater(number_of_organizations(X0,X1),zero)
| ~ greater(equilibrium(X0),X1)
| decreases(resources(X0,X1))
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10 % Problem : MGT021+1 : TPTP v8.2.0. Released v2.0.0.
% 0.10/0.11 % 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
% 0.10/0.32 % Computer : n029.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Sun May 19 00:04:38 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.10/0.32 This is a FOF_THM_RFO_SEQ problem
% 0.10/0.32 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/benchmark/theBenchmark.p
% 0.47/0.64 % (27901)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)
% 0.47/0.65 % (27903)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)
% 0.47/0.65 % (27902)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)
% 0.47/0.65 % (27896)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)
% 0.47/0.65 % (27901)First to succeed.
% 0.47/0.65 % (27898)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.47/0.65 % (27901)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-27891"
% 0.47/0.65 % (27903)Also succeeded, but the first one will report.
% 0.47/0.65 % (27901)Refutation found. Thanks to Tanya!
% 0.47/0.65 % SZS status Theorem for theBenchmark
% 0.47/0.65 % SZS output start Proof for theBenchmark
% See solution above
% 0.47/0.65 % (27901)------------------------------
% 0.47/0.65 % (27901)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.47/0.65 % (27901)Termination reason: Refutation
% 0.47/0.65
% 0.47/0.65 % (27901)Memory used [KB]: 980
% 0.47/0.65 % (27901)Time elapsed: 0.003 s
% 0.47/0.65 % (27901)Instructions burned: 4 (million)
% 0.47/0.65 % (27891)Success in time 0.32 s
% 0.47/0.65 % Vampire---4.8 exiting
%------------------------------------------------------------------------------