TSTP Solution File: MGT036+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : MGT036+1 : TPTP v8.1.2. 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n017.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 03:21:57 EDT 2024
% Result : Theorem 0.58s 0.76s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 11
% Syntax : Number of formulae : 65 ( 7 unt; 0 def)
% Number of atoms : 219 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 266 ( 112 ~; 94 |; 38 &)
% ( 11 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 4 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 127 ( 121 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f82,plain,
$false,
inference(avatar_sat_refutation,[],[f56,f64,f75,f81]) ).
fof(f81,plain,
( ~ spl2_2
| ~ spl2_3 ),
inference(avatar_contradiction_clause,[],[f80]) ).
fof(f80,plain,
( $false
| ~ spl2_2
| ~ spl2_3 ),
inference(subsumption_resolution,[],[f79,f57]) ).
fof(f57,plain,
( ~ greater(zero,growth_rate(first_movers,sK1))
| ~ spl2_2 ),
inference(resolution,[],[f55,f40]) ).
fof(f40,plain,
! [X3,X1] :
( ~ greater_or_equal(growth_rate(X1,X3),zero)
| ~ greater(zero,growth_rate(X1,X3)) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1,X2,X3] :
( ( greater_or_equal(growth_rate(X1,X3),zero)
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0)
| greater(zero,growth_rate(X1,X3)) )
& ( ~ greater(zero,growth_rate(X1,X3))
| ( ~ greater_or_equal(growth_rate(X1,X3),zero)
& subpopulations(X1,X2,X0,X3)
& environment(X0) ) ) ),
inference(flattening,[],[f28]) ).
fof(f28,plain,
! [X0,X1,X2,X3] :
( ( greater_or_equal(growth_rate(X1,X3),zero)
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0)
| greater(zero,growth_rate(X1,X3)) )
& ( ~ greater(zero,growth_rate(X1,X3))
| ( ~ greater_or_equal(growth_rate(X1,X3),zero)
& subpopulations(X1,X2,X0,X3)
& environment(X0) ) ) ),
inference(nnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X1,X2,X3] :
( ( greater_or_equal(growth_rate(X1,X3),zero)
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) )
<=> ~ greater(zero,growth_rate(X1,X3)) ),
inference(flattening,[],[f18]) ).
fof(f18,plain,
! [X0,X1,X2,X3] :
( ( greater_or_equal(growth_rate(X1,X3),zero)
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) )
<=> ~ greater(zero,growth_rate(X1,X3)) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0,X1,X2,X3] :
( ( ( subpopulations(X1,X2,X0,X3)
& environment(X0) )
=> greater_or_equal(growth_rate(X1,X3),zero) )
<=> ~ greater(zero,growth_rate(X1,X3)) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X0,X2,X3,X1] :
( ( ( subpopulations(X2,X3,X0,X1)
& environment(X0) )
=> greater_or_equal(growth_rate(X2,X1),zero) )
<=> ~ greater(zero,growth_rate(X2,X1)) ),
file('/export/starexec/sandbox/tmp/tmp.bb0KNagdaM/Vampire---4.8_31597',mp_growth_rate_relationships) ).
fof(f55,plain,
( greater_or_equal(growth_rate(first_movers,sK1),zero)
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f53,plain,
( spl2_2
<=> greater_or_equal(growth_rate(first_movers,sK1),zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f79,plain,
( greater(zero,growth_rate(first_movers,sK1))
| ~ spl2_3 ),
inference(subsumption_resolution,[],[f78,f63]) ).
fof(f63,plain,
( greater(zero,growth_rate(efficient_producers,sK1))
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f61,plain,
( spl2_3
<=> greater(zero,growth_rate(efficient_producers,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f78,plain,
( ~ greater(zero,growth_rate(efficient_producers,sK1))
| greater(zero,growth_rate(first_movers,sK1)) ),
inference(resolution,[],[f76,f34]) ).
fof(f34,plain,
greater(resilience(efficient_producers),resilience(first_movers)),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
greater(resilience(efficient_producers),resilience(first_movers)),
file('/export/starexec/sandbox/tmp/tmp.bb0KNagdaM/Vampire---4.8_31597',a2) ).
fof(f76,plain,
! [X0,X1] :
( ~ greater(resilience(X1),resilience(X0))
| ~ greater(zero,growth_rate(X1,sK1))
| greater(zero,growth_rate(X0,sK1)) ),
inference(resolution,[],[f66,f36]) ).
fof(f36,plain,
subpopulations(first_movers,efficient_producers,sK0,sK1),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
( outcompetes(first_movers,efficient_producers,sK1)
& subpopulations(first_movers,efficient_producers,sK0,sK1)
& environment(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f17,f26]) ).
fof(f26,plain,
( ? [X0,X1] :
( outcompetes(first_movers,efficient_producers,X1)
& subpopulations(first_movers,efficient_producers,X0,X1)
& environment(X0) )
=> ( outcompetes(first_movers,efficient_producers,sK1)
& subpopulations(first_movers,efficient_producers,sK0,sK1)
& environment(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
? [X0,X1] :
( outcompetes(first_movers,efficient_producers,X1)
& subpopulations(first_movers,efficient_producers,X0,X1)
& environment(X0) ),
inference(flattening,[],[f16]) ).
fof(f16,plain,
? [X0,X1] :
( outcompetes(first_movers,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) )
=> ~ outcompetes(first_movers,efficient_producers,X1) ),
inference(negated_conjecture,[],[f7]) ).
fof(f7,conjecture,
! [X0,X1] :
( ( subpopulations(first_movers,efficient_producers,X0,X1)
& environment(X0) )
=> ~ outcompetes(first_movers,efficient_producers,X1) ),
file('/export/starexec/sandbox/tmp/tmp.bb0KNagdaM/Vampire---4.8_31597',prove_t5) ).
fof(f66,plain,
! [X2,X3,X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X3,X2)
| greater(zero,growth_rate(X1,X2))
| ~ greater(zero,growth_rate(X0,X2))
| ~ greater(resilience(X0),resilience(X1)) ),
inference(subsumption_resolution,[],[f65,f38]) ).
fof(f38,plain,
! [X3,X0,X1] :
( environment(X0)
| ~ greater(zero,growth_rate(X1,X3)) ),
inference(cnf_transformation,[],[f29]) ).
fof(f65,plain,
! [X2,X3,X0,X1] :
( ~ greater(resilience(X0),resilience(X1))
| greater(zero,growth_rate(X1,X2))
| ~ greater(zero,growth_rate(X0,X2))
| ~ subpopulations(first_movers,efficient_producers,X3,X2)
| ~ environment(X3) ),
inference(resolution,[],[f46,f42]) ).
fof(f42,plain,
! [X0,X1] :
( in_environment(X0,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1] :
( in_environment(X0,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(flattening,[],[f20]) ).
fof(f20,plain,
! [X0,X1] :
( in_environment(X0,X1)
| ~ 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) )
=> in_environment(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.bb0KNagdaM/Vampire---4.8_31597',mp_time_point_occur) ).
fof(f46,plain,
! [X2,X3,X0,X1] :
( ~ in_environment(X0,X3)
| ~ greater(resilience(X2),resilience(X1))
| greater(zero,growth_rate(X1,X3))
| ~ greater(zero,growth_rate(X2,X3)) ),
inference(subsumption_resolution,[],[f33,f38]) ).
fof(f33,plain,
! [X2,X3,X0,X1] :
( ~ greater(zero,growth_rate(X2,X3))
| ~ greater(resilience(X2),resilience(X1))
| greater(zero,growth_rate(X1,X3))
| ~ in_environment(X0,X3)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0,X1,X2,X3] :
( ~ greater(zero,growth_rate(X2,X3))
| ~ greater(resilience(X2),resilience(X1))
| greater(zero,growth_rate(X1,X3))
| ~ in_environment(X0,X3)
| ~ environment(X0) ),
inference(flattening,[],[f14]) ).
fof(f14,plain,
! [X0,X1,X2,X3] :
( ~ greater(zero,growth_rate(X2,X3))
| ~ greater(resilience(X2),resilience(X1))
| greater(zero,growth_rate(X1,X3))
| ~ in_environment(X0,X3)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,plain,
! [X0,X1,X2,X3] :
( ( greater(resilience(X2),resilience(X1))
& ~ greater(zero,growth_rate(X1,X3))
& in_environment(X0,X3)
& environment(X0) )
=> ~ greater(zero,growth_rate(X2,X3)) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X0,X2,X3,X1] :
( ( greater(resilience(X3),resilience(X2))
& ~ greater(zero,growth_rate(X2,X1))
& in_environment(X0,X1)
& environment(X0) )
=> ~ greater(zero,growth_rate(X3,X1)) ),
file('/export/starexec/sandbox/tmp/tmp.bb0KNagdaM/Vampire---4.8_31597',a12) ).
fof(f75,plain,
~ spl2_1,
inference(avatar_contradiction_clause,[],[f74]) ).
fof(f74,plain,
( $false
| ~ spl2_1 ),
inference(subsumption_resolution,[],[f72,f35]) ).
fof(f35,plain,
environment(sK0),
inference(cnf_transformation,[],[f27]) ).
fof(f72,plain,
( ~ environment(sK0)
| ~ spl2_1 ),
inference(resolution,[],[f69,f36]) ).
fof(f69,plain,
( ! [X0] :
( ~ subpopulations(first_movers,efficient_producers,X0,sK1)
| ~ environment(X0) )
| ~ spl2_1 ),
inference(duplicate_literal_removal,[],[f67]) ).
fof(f67,plain,
( ! [X0] :
( ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,sK1)
| ~ environment(X0) )
| ~ spl2_1 ),
inference(resolution,[],[f51,f43]) ).
fof(f43,plain,
! [X0,X1] :
( subpopulations(efficient_producers,first_movers,X0,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1] :
( subpopulations(efficient_producers,first_movers,X0,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(flattening,[],[f22]) ).
fof(f22,plain,
! [X0,X1] :
( subpopulations(efficient_producers,first_movers,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) )
=> subpopulations(efficient_producers,first_movers,X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.bb0KNagdaM/Vampire---4.8_31597',mp_symmetry_of_FM_and_EP) ).
fof(f51,plain,
( ! [X0] :
( ~ subpopulations(efficient_producers,first_movers,X0,sK1)
| ~ environment(X0) )
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f50,plain,
( spl2_1
<=> ! [X0] :
( ~ subpopulations(efficient_producers,first_movers,X0,sK1)
| ~ environment(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f64,plain,
( spl2_1
| spl2_3 ),
inference(avatar_split_clause,[],[f58,f61,f50]) ).
fof(f58,plain,
! [X0] :
( greater(zero,growth_rate(efficient_producers,sK1))
| ~ subpopulations(efficient_producers,first_movers,X0,sK1)
| ~ environment(X0) ),
inference(resolution,[],[f32,f37]) ).
fof(f37,plain,
outcompetes(first_movers,efficient_producers,sK1),
inference(cnf_transformation,[],[f27]) ).
fof(f32,plain,
! [X2,X3,X0,X1] :
( ~ outcompetes(X2,X1,X3)
| greater(zero,growth_rate(X1,X3))
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1,X2,X3] :
( ( ( ( greater(zero,growth_rate(X1,X3))
& greater_or_equal(growth_rate(X2,X3),zero) )
| ~ outcompetes(X2,X1,X3) )
& ( outcompetes(X2,X1,X3)
| ~ greater(zero,growth_rate(X1,X3))
| ~ greater_or_equal(growth_rate(X2,X3),zero) ) )
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ),
inference(flattening,[],[f24]) ).
fof(f24,plain,
! [X0,X1,X2,X3] :
( ( ( ( greater(zero,growth_rate(X1,X3))
& greater_or_equal(growth_rate(X2,X3),zero) )
| ~ outcompetes(X2,X1,X3) )
& ( outcompetes(X2,X1,X3)
| ~ greater(zero,growth_rate(X1,X3))
| ~ greater_or_equal(growth_rate(X2,X3),zero) ) )
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ),
inference(nnf_transformation,[],[f13]) ).
fof(f13,plain,
! [X0,X1,X2,X3] :
( ( ( greater(zero,growth_rate(X1,X3))
& greater_or_equal(growth_rate(X2,X3),zero) )
<=> outcompetes(X2,X1,X3) )
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ),
inference(flattening,[],[f12]) ).
fof(f12,plain,
! [X0,X1,X2,X3] :
( ( ( greater(zero,growth_rate(X1,X3))
& greater_or_equal(growth_rate(X2,X3),zero) )
<=> outcompetes(X2,X1,X3) )
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,plain,
! [X0,X1,X2,X3] :
( ( subpopulations(X1,X2,X0,X3)
& environment(X0) )
=> ( ( greater(zero,growth_rate(X1,X3))
& greater_or_equal(growth_rate(X2,X3),zero) )
<=> outcompetes(X2,X1,X3) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X0,X2,X3,X1] :
( ( subpopulations(X2,X3,X0,X1)
& environment(X0) )
=> ( ( greater(zero,growth_rate(X2,X1))
& greater_or_equal(growth_rate(X3,X1),zero) )
<=> outcompetes(X3,X2,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.bb0KNagdaM/Vampire---4.8_31597',d2) ).
fof(f56,plain,
( spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f47,f53,f50]) ).
fof(f47,plain,
! [X0] :
( greater_or_equal(growth_rate(first_movers,sK1),zero)
| ~ subpopulations(efficient_producers,first_movers,X0,sK1)
| ~ environment(X0) ),
inference(resolution,[],[f31,f37]) ).
fof(f31,plain,
! [X2,X3,X0,X1] :
( ~ outcompetes(X2,X1,X3)
| greater_or_equal(growth_rate(X2,X3),zero)
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MGT036+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.14 % 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
% 0.14/0.35 % Computer : n017.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 : Tue Apr 30 17:41:19 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a FOF_THM_RFO_NEQ problem
% 0.14/0.36 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/tmp/tmp.bb0KNagdaM/Vampire---4.8_31597
% 0.58/0.76 % (31856)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)
% 0.58/0.76 % (31851)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.76 % (31849)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)
% 0.58/0.76 % (31850)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)
% 0.58/0.76 % (31853)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)
% 0.58/0.76 % (31852)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)
% 0.58/0.76 % (31856)First to succeed.
% 0.58/0.76 % (31855)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)
% 0.58/0.76 % (31852)Also succeeded, but the first one will report.
% 0.58/0.76 % (31856)Refutation found. Thanks to Tanya!
% 0.58/0.76 % SZS status Theorem for Vampire---4
% 0.58/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.76 % (31856)------------------------------
% 0.58/0.76 % (31856)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.76 % (31856)Termination reason: Refutation
% 0.58/0.76
% 0.58/0.76 % (31856)Memory used [KB]: 998
% 0.58/0.76 % (31856)Time elapsed: 0.003 s
% 0.58/0.76 % (31856)Instructions burned: 5 (million)
% 0.58/0.76 % (31856)------------------------------
% 0.58/0.76 % (31856)------------------------------
% 0.58/0.76 % (31845)Success in time 0.388 s
% 0.58/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------