TSTP Solution File: MGT022+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : MGT022+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n020.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 07:57:06 EDT 2024
% Result : Theorem 0.10s 0.34s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 6
% Syntax : Number of formulae : 44 ( 9 unt; 0 def)
% Number of atoms : 148 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 158 ( 54 ~; 50 |; 37 &)
% ( 0 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 51 ( 43 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f47,plain,
$false,
inference(subsumption_resolution,[],[f46,f39]) ).
fof(f39,plain,
constant(resources(sK1,sK2)),
inference(subsumption_resolution,[],[f38,f34]) ).
fof(f34,plain,
( ~ increases(difference(disbanding_rate(first_movers,sK2),disbanding_rate(efficient_producers,sK2)))
| constant(resources(sK1,sK2)) ),
inference(resolution,[],[f20,f23]) ).
fof(f23,plain,
( sP0(sK2,sK1)
| constant(resources(sK1,sK2)) ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
( ( ( decreases(difference(disbanding_rate(first_movers,sK2),disbanding_rate(efficient_producers,sK2)))
& constant(resources(sK1,sK2)) )
| sP0(sK2,sK1) )
& subpopulations(first_movers,efficient_producers,sK1,sK2)
& environment(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f14,f17]) ).
fof(f17,plain,
( ? [X0,X1] :
( ( ( decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
& constant(resources(X0,X1)) )
| sP0(X1,X0) )
& subpopulations(first_movers,efficient_producers,X0,X1)
& environment(X0) )
=> ( ( ( decreases(difference(disbanding_rate(first_movers,sK2),disbanding_rate(efficient_producers,sK2)))
& constant(resources(sK1,sK2)) )
| sP0(sK2,sK1) )
& subpopulations(first_movers,efficient_producers,sK1,sK2)
& environment(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f14,plain,
? [X0,X1] :
( ( ( decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
& constant(resources(X0,X1)) )
| sP0(X1,X0) )
& subpopulations(first_movers,efficient_producers,X0,X1)
& environment(X0) ),
inference(definition_folding,[],[f9,f13]) ).
fof(f13,plain,
! [X1,X0] :
( ( ~ increases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
& decreases(resources(X0,X1)) )
| ~ sP0(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f9,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,[],[f8]) ).
fof(f8,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,plain,
~ ! [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))) ) ) ),
inference(rectify,[],[f5]) ).
fof(f5,negated_conjecture,
~ ! [X1,X4] :
( ( subpopulations(first_movers,efficient_producers,X1,X4)
& environment(X1) )
=> ( ( constant(resources(X1,X4))
=> ~ decreases(difference(disbanding_rate(first_movers,X4),disbanding_rate(efficient_producers,X4))) )
& ( decreases(resources(X1,X4))
=> increases(difference(disbanding_rate(first_movers,X4),disbanding_rate(efficient_producers,X4))) ) ) ),
inference(negated_conjecture,[],[f4]) ).
fof(f4,conjecture,
! [X1,X4] :
( ( subpopulations(first_movers,efficient_producers,X1,X4)
& environment(X1) )
=> ( ( constant(resources(X1,X4))
=> ~ decreases(difference(disbanding_rate(first_movers,X4),disbanding_rate(efficient_producers,X4))) )
& ( decreases(resources(X1,X4))
=> increases(difference(disbanding_rate(first_movers,X4),disbanding_rate(efficient_producers,X4))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l4) ).
fof(f20,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| ~ increases(difference(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0))) ),
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X1] :
( ( ~ increases(difference(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0)))
& decreases(resources(X1,X0)) )
| ~ sP0(X0,X1) ),
inference(rectify,[],[f15]) ).
fof(f15,plain,
! [X1,X0] :
( ( ~ increases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
& decreases(resources(X0,X1)) )
| ~ sP0(X1,X0) ),
inference(nnf_transformation,[],[f13]) ).
fof(f38,plain,
( increases(difference(disbanding_rate(first_movers,sK2),disbanding_rate(efficient_producers,sK2)))
| constant(resources(sK1,sK2)) ),
inference(resolution,[],[f37,f30]) ).
fof(f30,plain,
( decreases(resources(sK1,sK2))
| constant(resources(sK1,sK2)) ),
inference(resolution,[],[f19,f23]) ).
fof(f19,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| decreases(resources(X1,X0)) ),
inference(cnf_transformation,[],[f16]) ).
fof(f37,plain,
( ~ decreases(resources(sK1,sK2))
| increases(difference(disbanding_rate(first_movers,sK2),disbanding_rate(efficient_producers,sK2))) ),
inference(subsumption_resolution,[],[f36,f21]) ).
fof(f21,plain,
environment(sK1),
inference(cnf_transformation,[],[f18]) ).
fof(f36,plain,
( ~ decreases(resources(sK1,sK2))
| increases(difference(disbanding_rate(first_movers,sK2),disbanding_rate(efficient_producers,sK2)))
| ~ environment(sK1) ),
inference(subsumption_resolution,[],[f35,f25]) ).
fof(f25,plain,
greater(resilience(efficient_producers),resilience(first_movers)),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
greater(resilience(efficient_producers),resilience(first_movers)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2) ).
fof(f35,plain,
( ~ decreases(resources(sK1,sK2))
| ~ greater(resilience(efficient_producers),resilience(first_movers))
| increases(difference(disbanding_rate(first_movers,sK2),disbanding_rate(efficient_producers,sK2)))
| ~ environment(sK1) ),
inference(resolution,[],[f26,f22]) ).
fof(f22,plain,
subpopulations(first_movers,efficient_producers,sK1,sK2),
inference(cnf_transformation,[],[f18]) ).
fof(f26,plain,
! [X2,X3,X0,X1] :
( ~ subpopulations(X1,X2,X0,X3)
| ~ decreases(resources(X0,X3))
| ~ greater(resilience(X2),resilience(X1))
| increases(difference(disbanding_rate(X1,X3),disbanding_rate(X2,X3)))
| ~ environment(X0) ),
inference(cnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0,X1,X2,X3] :
( ( ( constant(difference(disbanding_rate(X1,X3),disbanding_rate(X2,X3)))
| ~ constant(resources(X0,X3)) )
& ( increases(difference(disbanding_rate(X1,X3),disbanding_rate(X2,X3)))
| ~ decreases(resources(X0,X3)) ) )
| ~ greater(resilience(X2),resilience(X1))
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ),
inference(flattening,[],[f10]) ).
fof(f10,plain,
! [X0,X1,X2,X3] :
( ( ( constant(difference(disbanding_rate(X1,X3),disbanding_rate(X2,X3)))
| ~ constant(resources(X0,X3)) )
& ( increases(difference(disbanding_rate(X1,X3),disbanding_rate(X2,X3)))
| ~ decreases(resources(X0,X3)) ) )
| ~ greater(resilience(X2),resilience(X1))
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,plain,
! [X0,X1,X2,X3] :
( ( greater(resilience(X2),resilience(X1))
& subpopulations(X1,X2,X0,X3)
& environment(X0) )
=> ( ( constant(resources(X0,X3))
=> constant(difference(disbanding_rate(X1,X3),disbanding_rate(X2,X3))) )
& ( decreases(resources(X0,X3))
=> increases(difference(disbanding_rate(X1,X3),disbanding_rate(X2,X3))) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X2,X3,X4] :
( ( greater(resilience(X3),resilience(X2))
& subpopulations(X2,X3,X1,X4)
& environment(X1) )
=> ( ( constant(resources(X1,X4))
=> constant(difference(disbanding_rate(X2,X4),disbanding_rate(X3,X4))) )
& ( decreases(resources(X1,X4))
=> increases(difference(disbanding_rate(X2,X4),disbanding_rate(X3,X4))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a5) ).
fof(f46,plain,
~ constant(resources(sK1,sK2)),
inference(resolution,[],[f44,f28]) ).
fof(f28,plain,
! [X0] :
( ~ decreases(X0)
| ~ constant(X0) ),
inference(cnf_transformation,[],[f12]) ).
fof(f12,plain,
! [X0] :
( ~ decreases(X0)
| ~ constant(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( constant(X0)
=> ~ decreases(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_constant_not_decrease) ).
fof(f44,plain,
decreases(resources(sK1,sK2)),
inference(resolution,[],[f43,f32]) ).
fof(f32,plain,
( ~ constant(difference(disbanding_rate(first_movers,sK2),disbanding_rate(efficient_producers,sK2)))
| decreases(resources(sK1,sK2)) ),
inference(resolution,[],[f29,f28]) ).
fof(f29,plain,
( decreases(difference(disbanding_rate(first_movers,sK2),disbanding_rate(efficient_producers,sK2)))
| decreases(resources(sK1,sK2)) ),
inference(resolution,[],[f19,f24]) ).
fof(f24,plain,
( sP0(sK2,sK1)
| decreases(difference(disbanding_rate(first_movers,sK2),disbanding_rate(efficient_producers,sK2))) ),
inference(cnf_transformation,[],[f18]) ).
fof(f43,plain,
constant(difference(disbanding_rate(first_movers,sK2),disbanding_rate(efficient_producers,sK2))),
inference(subsumption_resolution,[],[f42,f21]) ).
fof(f42,plain,
( constant(difference(disbanding_rate(first_movers,sK2),disbanding_rate(efficient_producers,sK2)))
| ~ environment(sK1) ),
inference(subsumption_resolution,[],[f41,f25]) ).
fof(f41,plain,
( ~ greater(resilience(efficient_producers),resilience(first_movers))
| constant(difference(disbanding_rate(first_movers,sK2),disbanding_rate(efficient_producers,sK2)))
| ~ environment(sK1) ),
inference(subsumption_resolution,[],[f40,f39]) ).
fof(f40,plain,
( ~ constant(resources(sK1,sK2))
| ~ greater(resilience(efficient_producers),resilience(first_movers))
| constant(difference(disbanding_rate(first_movers,sK2),disbanding_rate(efficient_producers,sK2)))
| ~ environment(sK1) ),
inference(resolution,[],[f27,f22]) ).
fof(f27,plain,
! [X2,X3,X0,X1] :
( ~ subpopulations(X1,X2,X0,X3)
| ~ constant(resources(X0,X3))
| ~ greater(resilience(X2),resilience(X1))
| constant(difference(disbanding_rate(X1,X3),disbanding_rate(X2,X3)))
| ~ environment(X0) ),
inference(cnf_transformation,[],[f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : MGT022+1 : TPTP v8.1.2. Released v2.0.0.
% 0.02/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.32 % Computer : n020.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 : Fri May 3 20:05:38 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.10/0.32 % (28137)Running in auto input_syntax mode. Trying TPTP
% 0.10/0.34 % (28143)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.10/0.34 % (28138)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.10/0.34 % (28141)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.10/0.34 % (28142)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.10/0.34 % (28144)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.10/0.34 % (28140)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.10/0.34 % (28139)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.10/0.34 % (28142)First to succeed.
% 0.10/0.34 % (28143)Also succeeded, but the first one will report.
% 0.10/0.34 TRYING [1]
% 0.10/0.34 Detected minimum model sizes of [1,1,1,1]
% 0.10/0.34 Detected maximum model sizes of [max,2,1,1]
% 0.10/0.34 % (28140)Also succeeded, but the first one will report.
% 0.10/0.34 TRYING [1]
% 0.10/0.34 TRYING [1,1,1,1]
% 0.10/0.34 Detected minimum model sizes of [1,1,1,1]
% 0.10/0.34 Detected maximum model sizes of [max,2,1,1]
% 0.10/0.34 TRYING [1,1,1,1]
% 0.10/0.34 TRYING [2,1,1,1]
% 0.10/0.34 TRYING [2]
% 0.10/0.34 TRYING [2]
% 0.10/0.34 TRYING [2,1,1,1]
% 0.10/0.34 % (28142)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-28137"
% 0.10/0.34 TRYING [3,1,1,1]
% 0.10/0.34 % (28142)Refutation found. Thanks to Tanya!
% 0.10/0.34 % SZS status Theorem for theBenchmark
% 0.10/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.34 % (28142)------------------------------
% 0.10/0.34 % (28142)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.10/0.34 % (28142)Termination reason: Refutation
% 0.10/0.34
% 0.10/0.34 % (28142)Memory used [KB]: 751
% 0.10/0.34 % (28142)Time elapsed: 0.003 s
% 0.10/0.34 % (28142)Instructions burned: 4 (million)
% 0.10/0.34 % (28137)Success in time 0.017 s
%------------------------------------------------------------------------------