TSTP Solution File: MGT038-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : MGT038-2 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n009.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 07:57:59 EDT 2024
% Result : Satisfiable 0.13s 0.38s
% Output : FiniteModel 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MGT038-2 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n009.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 20:03:38 EDT 2024
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % (5034)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (5041)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.13/0.37 % (5038)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.38 % (5037)WARNING: value z3 for option sas not known
% 0.13/0.38 % (5036)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.38 % (5035)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.38 % (5039)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.38 % (5040)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.38 % (5037)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.38 TRYING [1]
% 0.13/0.38 TRYING [2]
% 0.13/0.38 Finite Model Found!
% 0.13/0.38 % SZS status Satisfiable for theBenchmark
% 0.13/0.38 % (5038)First to succeed.
% 0.13/0.38 % (5038)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-5034"
% 0.13/0.39 % SZS output start FiniteModel for theBenchmark
% 0.13/0.39 tff(declare_$i,type,$i:$tType).
% 0.13/0.39 tff(declare_$i1,type,first_movers:$i).
% 0.13/0.39 tff(declare_$i2,type,zero:$i).
% 0.13/0.39 tff(finite_domain,axiom,
% 0.13/0.39 ! [X:$i] : (
% 0.13/0.39 X = first_movers | X = zero
% 0.13/0.39 ) ).
% 0.13/0.39
% 0.13/0.39 tff(distinct_domain,axiom,
% 0.13/0.39 first_movers != zero
% 0.13/0.39 ).
% 0.13/0.39
% 0.13/0.39 tff(declare_bool,type,$o:$tType).
% 0.13/0.39 tff(declare_bool1,type,fmb_bool_1:$o).
% 0.13/0.39 tff(finite_domain,axiom,
% 0.13/0.39 ! [X:$o] : (
% 0.13/0.39 X = fmb_bool_1
% 0.13/0.39 ) ).
% 0.13/0.39
% 0.13/0.39 tff(declare_s,type,s:$i).
% 0.13/0.39 tff(s_definition,axiom,s = first_movers).
% 0.13/0.39 tff(declare_t2,type,t2:$i).
% 0.13/0.39 tff(t2_definition,axiom,t2 = first_movers).
% 0.13/0.39 tff(declare_efficient_producers,type,efficient_producers:$i).
% 0.13/0.39 tff(efficient_producers_definition,axiom,efficient_producers = zero).
% 0.13/0.39 tff(declare_e,type,e:$i).
% 0.13/0.39 tff(e_definition,axiom,e = first_movers).
% 0.13/0.39 tff(declare_sk7,type,sk7:$i).
% 0.13/0.39 tff(sk7_definition,axiom,sk7 = first_movers).
% 0.13/0.39 tff(declare_to,type,to:$i).
% 0.13/0.39 tff(to_definition,axiom,to = first_movers).
% 0.13/0.39 tff(declare_sk1,type,sk1: $i * $i > $i).
% 0.13/0.39 tff(function_sk1,axiom,
% 0.13/0.39 sk1(first_movers,first_movers) = first_movers
% 0.13/0.39 & sk1(first_movers,zero) = zero
% 0.13/0.39 & sk1(zero,first_movers) = zero
% 0.13/0.39 & sk1(zero,zero) = zero
% 0.13/0.39
% 0.13/0.39 ).
% 0.13/0.39
% 0.13/0.39 tff(declare_cardinality_at_time,type,cardinality_at_time: $i * $i > $i).
% 0.13/0.39 tff(function_cardinality_at_time,axiom,
% 0.13/0.39 cardinality_at_time(first_movers,first_movers) = first_movers
% 0.13/0.39 & cardinality_at_time(first_movers,zero) = first_movers
% 0.13/0.39 & cardinality_at_time(zero,first_movers) = first_movers
% 0.13/0.39 & cardinality_at_time(zero,zero) = zero
% 0.13/0.39
% 0.13/0.39 ).
% 0.13/0.39
% 0.13/0.39 tff(declare_sk2,type,sk2: $i * $i > $i).
% 0.13/0.39 tff(function_sk2,axiom,
% 0.13/0.39 sk2(first_movers,first_movers) = first_movers
% 0.13/0.39 & sk2(first_movers,zero) = first_movers
% 0.13/0.39 & sk2(zero,first_movers) = zero
% 0.13/0.39 & sk2(zero,zero) = zero
% 0.13/0.39
% 0.13/0.39 ).
% 0.13/0.39
% 0.13/0.39 tff(declare_growth_rate,type,growth_rate: $i * $i > $i).
% 0.13/0.39 tff(function_growth_rate,axiom,
% 0.13/0.39 growth_rate(first_movers,first_movers) = first_movers
% 0.13/0.39 & growth_rate(first_movers,zero) = first_movers
% 0.13/0.39 & growth_rate(zero,first_movers) = first_movers
% 0.13/0.39 & growth_rate(zero,zero) = first_movers
% 0.13/0.39
% 0.13/0.39 ).
% 0.13/0.39
% 0.13/0.39 tff(declare_appear,type,appear: $i * $i > $i).
% 0.13/0.39 tff(function_appear,axiom,
% 0.13/0.39 appear(first_movers,first_movers) = first_movers
% 0.13/0.39 & appear(first_movers,zero) = first_movers
% 0.13/0.39 & appear(zero,first_movers) = first_movers
% 0.13/0.39 & appear(zero,zero) = zero
% 0.13/0.39
% 0.13/0.39 ).
% 0.13/0.39
% 0.13/0.39 tff(declare_sk3,type,sk3: $i * $i > $i).
% 0.13/0.39 tff(function_sk3,axiom,
% 0.13/0.39 sk3(first_movers,first_movers) = first_movers
% 0.13/0.39 & sk3(first_movers,zero) = first_movers
% 0.13/0.39 & sk3(zero,first_movers) = zero
% 0.13/0.39 & sk3(zero,zero) = zero
% 0.13/0.39
% 0.13/0.39 ).
% 0.13/0.39
% 0.13/0.39 tff(declare_sk4,type,sk4: $i > $i).
% 0.13/0.39 tff(function_sk4,axiom,
% 0.13/0.39 sk4(first_movers) = zero
% 0.13/0.39 & sk4(zero) = first_movers
% 0.13/0.39
% 0.13/0.39 ).
% 0.13/0.39
% 0.13/0.39 tff(declare_sk5,type,sk5: $i > $i).
% 0.13/0.39 tff(function_sk5,axiom,
% 0.13/0.39 sk5(first_movers) = first_movers
% 0.13/0.39 & sk5(zero) = first_movers
% 0.13/0.39
% 0.13/0.39 ).
% 0.13/0.39
% 0.13/0.39 tff(declare_equilibrium,type,equilibrium: $i > $i).
% 0.13/0.39 tff(function_equilibrium,axiom,
% 0.13/0.39 equilibrium(first_movers) = first_movers
% 0.13/0.39 & equilibrium(zero) = first_movers
% 0.13/0.39
% 0.13/0.39 ).
% 0.13/0.39
% 0.13/0.39 tff(declare_sk6,type,sk6: $i > $i).
% 0.13/0.39 tff(function_sk6,axiom,
% 0.13/0.39 sk6(first_movers) = first_movers
% 0.13/0.39 & sk6(zero) = first_movers
% 0.13/0.39
% 0.13/0.39 ).
% 0.13/0.39
% 0.13/0.39 tff(declare_finite_set,type,finite_set: $i > $o ).
% 0.13/0.39 tff(predicate_finite_set,axiom,
% 0.13/0.39 finite_set(first_movers)
% 0.13/0.39 & ~finite_set(zero)
% 0.13/0.39
% 0.13/0.39 ).
% 0.13/0.39
% 0.13/0.39 tff(declare_contracts_from,type,contracts_from: $i * $i > $o ).
% 0.13/0.39 tff(predicate_contracts_from,axiom,
% 0.13/0.39 ~contracts_from(first_movers,first_movers)
% 0.13/0.39 & ~contracts_from(first_movers,zero)
% 0.13/0.39 & ~contracts_from(zero,first_movers)
% 0.13/0.39 & ~contracts_from(zero,zero)
% 0.13/0.39
% 0.13/0.39 ).
% 0.13/0.39
% 0.13/0.39 tff(declare_greater,type,greater: $i * $i > $o ).
% 0.13/0.39 tff(predicate_greater,axiom,
% 0.13/0.39 greater(first_movers,first_movers)
% 0.13/0.39 & greater(first_movers,zero)
% 0.13/0.39 & ~greater(zero,first_movers)
% 0.13/0.39 & greater(zero,zero)
% 0.13/0.39
% 0.13/0.39 ).
% 0.13/0.39
% 0.13/0.39 tff(declare_environment,type,environment: $i > $o ).
% 0.13/0.39 tff(predicate_environment,axiom,
% 0.13/0.39 environment(first_movers)
% 0.13/0.39 & ~environment(zero)
% 0.13/0.39
% 0.13/0.39 ).
% 0.13/0.39
% 0.13/0.39 tff(declare_stable,type,stable: $i > $o ).
% 0.13/0.39 tff(predicate_stable,axiom,
% 0.13/0.39 stable(first_movers)
% 0.13/0.39 & ~stable(zero)
% 0.13/0.39
% 0.13/0.39 ).
% 0.13/0.39
% 0.13/0.39 tff(declare_in_environment,type,in_environment: $i * $i > $o ).
% 0.13/0.39 tff(predicate_in_environment,axiom,
% 0.13/0.39 in_environment(first_movers,first_movers)
% 0.13/0.39 & in_environment(first_movers,zero)
% 0.13/0.39 & ~in_environment(zero,first_movers)
% 0.13/0.39 & ~in_environment(zero,zero)
% 0.13/0.39
% 0.13/0.39 ).
% 0.13/0.39
% 0.13/0.39 tff(declare_greater_or_equal,type,greater_or_equal: $i * $i > $o ).
% 0.13/0.39 tff(predicate_greater_or_equal,axiom,
% 0.13/0.39 greater_or_equal(first_movers,first_movers)
% 0.13/0.39 & greater_or_equal(first_movers,zero)
% 0.13/0.39 & ~greater_or_equal(zero,first_movers)
% 0.13/0.39 & greater_or_equal(zero,zero)
% 0.13/0.39
% 0.13/0.39 ).
% 0.13/0.39
% 0.13/0.39 tff(declare_subpopulations,type,subpopulations: $i * $i * $i * $i > $o ).
% 0.13/0.39 tff(predicate_subpopulations,axiom,
% 0.13/0.39 ~subpopulations(first_movers,first_movers,first_movers,first_movers)
% 0.13/0.39 & ~subpopulations(first_movers,first_movers,first_movers,zero)
% 0.13/0.39 & ~subpopulations(first_movers,first_movers,zero,first_movers)
% 0.13/0.39 & ~subpopulations(first_movers,first_movers,zero,zero)
% 0.13/0.39 & subpopulations(first_movers,zero,first_movers,first_movers)
% 0.13/0.39 & subpopulations(first_movers,zero,first_movers,zero)
% 0.13/0.39 & ~subpopulations(first_movers,zero,zero,first_movers)
% 0.13/0.39 & ~subpopulations(first_movers,zero,zero,zero)
% 0.13/0.39 & ~subpopulations(zero,first_movers,first_movers,first_movers)
% 0.13/0.39 & ~subpopulations(zero,first_movers,first_movers,zero)
% 0.13/0.39 & ~subpopulations(zero,first_movers,zero,first_movers)
% 0.13/0.39 & ~subpopulations(zero,first_movers,zero,zero)
% 0.13/0.39 & ~subpopulations(zero,zero,first_movers,first_movers)
% 0.13/0.39 & ~subpopulations(zero,zero,first_movers,zero)
% 0.13/0.39 & ~subpopulations(zero,zero,zero,first_movers)
% 0.13/0.39 & ~subpopulations(zero,zero,zero,zero)
% 0.13/0.39
% 0.13/0.39 ).
% 0.13/0.39
% 0.13/0.39 % SZS output end FiniteModel for theBenchmark
% 0.13/0.39 % (5038)------------------------------
% 0.13/0.39 % (5038)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.39 % (5038)Termination reason: Satisfiable
% 0.13/0.39
% 0.13/0.39 % (5038)Memory used [KB]: 934
% 0.13/0.39 % (5038)Time elapsed: 0.010 s
% 0.13/0.39 % (5038)Instructions burned: 21 (million)
% 0.13/0.39 % (5034)Success in time 0.021 s
%------------------------------------------------------------------------------