TSTP Solution File: MGT038-10 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : MGT038-10 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -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 : Sun May 5 07:57:58 EDT 2024
% Result : Satisfiable 0.13s 0.37s
% Output : FiniteModel 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : MGT038-10 : TPTP v8.1.2. Released v7.5.0.
% 0.10/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n029.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 20:03:23 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (26694)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (26698)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (26697)WARNING: value z3 for option sas not known
% 0.13/0.37 % (26696)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37 % (26699)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)
% 0.13/0.37 % (26701)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 % (26700)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)
% 0.13/0.37 % (26697)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)
% 0.13/0.37 TRYING [1]
% 0.13/0.37 % (26695)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37 TRYING [2]
% 0.13/0.37 Finite Model Found!
% 0.13/0.37 % SZS status Satisfiable for theBenchmark
% 0.13/0.37 % (26698)First to succeed.
% 0.13/0.37 % (26698)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-26694"
% 0.13/0.38 % SZS output start FiniteModel for theBenchmark
% 0.13/0.38 tff(declare_$i,type,$i:$tType).
% 0.13/0.38 tff(declare_$i1,type,first_movers:$i).
% 0.13/0.38 tff(declare_$i2,type,efficient_producers:$i).
% 0.13/0.38 tff(finite_domain,axiom,
% 0.13/0.38 ! [X:$i] : (
% 0.13/0.38 X = first_movers | X = efficient_producers
% 0.13/0.38 ) ).
% 0.13/0.38
% 0.13/0.38 tff(distinct_domain,axiom,
% 0.13/0.38 first_movers != efficient_producers
% 0.13/0.38 ).
% 0.13/0.38
% 0.13/0.38 tff(declare_bool,type,$o:$tType).
% 0.13/0.38 tff(declare_bool1,type,fmb_bool_1:$o).
% 0.13/0.38 tff(finite_domain,axiom,
% 0.13/0.38 ! [X:$o] : (
% 0.13/0.38 X = fmb_bool_1
% 0.13/0.38 ) ).
% 0.13/0.38
% 0.13/0.38 tff(declare_true,type,true:$i).
% 0.13/0.38 tff(true_definition,axiom,true = first_movers).
% 0.13/0.38 tff(declare_s,type,s:$i).
% 0.13/0.38 tff(s_definition,axiom,s = first_movers).
% 0.13/0.38 tff(declare_t2,type,t2:$i).
% 0.13/0.38 tff(t2_definition,axiom,t2 = first_movers).
% 0.13/0.38 tff(declare_zero,type,zero:$i).
% 0.13/0.38 tff(zero_definition,axiom,zero = first_movers).
% 0.13/0.38 tff(declare_e,type,e:$i).
% 0.13/0.38 tff(e_definition,axiom,e = first_movers).
% 0.13/0.38 tff(declare_sk3,type,sk3:$i).
% 0.13/0.38 tff(sk3_definition,axiom,sk3 = efficient_producers).
% 0.13/0.38 tff(declare_to,type,to:$i).
% 0.13/0.38 tff(to_definition,axiom,to = efficient_producers).
% 0.13/0.38 tff(declare_ifeq2,type,ifeq2: $i * $i * $i * $i > $i).
% 0.13/0.38 tff(function_ifeq2,axiom,
% 0.13/0.38 ifeq2(first_movers,first_movers,first_movers,first_movers) = first_movers
% 0.13/0.38 & ifeq2(first_movers,first_movers,first_movers,efficient_producers) = first_movers
% 0.13/0.38 & ifeq2(first_movers,first_movers,efficient_producers,first_movers) = efficient_producers
% 0.13/0.38 & ifeq2(first_movers,first_movers,efficient_producers,efficient_producers) = efficient_producers
% 0.13/0.38 & ifeq2(first_movers,efficient_producers,first_movers,first_movers) = efficient_producers
% 0.13/0.38 & ifeq2(first_movers,efficient_producers,first_movers,efficient_producers) = first_movers
% 0.13/0.38 & ifeq2(first_movers,efficient_producers,efficient_producers,first_movers) = efficient_producers
% 0.13/0.38 & ifeq2(first_movers,efficient_producers,efficient_producers,efficient_producers) = first_movers
% 0.13/0.38 & ifeq2(efficient_producers,first_movers,first_movers,first_movers) = first_movers
% 0.13/0.38 & ifeq2(efficient_producers,first_movers,first_movers,efficient_producers) = first_movers
% 0.13/0.38 & ifeq2(efficient_producers,first_movers,efficient_producers,first_movers) = first_movers
% 0.13/0.38 & ifeq2(efficient_producers,first_movers,efficient_producers,efficient_producers) = first_movers
% 0.13/0.38 & ifeq2(efficient_producers,efficient_producers,first_movers,first_movers) = first_movers
% 0.13/0.38 & ifeq2(efficient_producers,efficient_producers,first_movers,efficient_producers) = first_movers
% 0.13/0.38 & ifeq2(efficient_producers,efficient_producers,efficient_producers,first_movers) = efficient_producers
% 0.13/0.38 & ifeq2(efficient_producers,efficient_producers,efficient_producers,efficient_producers) = efficient_producers
% 0.13/0.38
% 0.13/0.38 ).
% 0.13/0.38
% 0.13/0.38 tff(declare_ifeq,type,ifeq: $i * $i * $i * $i > $i).
% 0.13/0.38 tff(function_ifeq,axiom,
% 0.13/0.38 ifeq(first_movers,first_movers,first_movers,first_movers) = first_movers
% 0.13/0.38 & ifeq(first_movers,first_movers,first_movers,efficient_producers) = first_movers
% 0.13/0.38 & ifeq(first_movers,first_movers,efficient_producers,first_movers) = efficient_producers
% 0.13/0.38 & ifeq(first_movers,first_movers,efficient_producers,efficient_producers) = efficient_producers
% 0.13/0.38 & ifeq(first_movers,efficient_producers,first_movers,first_movers) = first_movers
% 0.13/0.38 & ifeq(first_movers,efficient_producers,first_movers,efficient_producers) = efficient_producers
% 0.13/0.38 & ifeq(first_movers,efficient_producers,efficient_producers,first_movers) = first_movers
% 0.13/0.38 & ifeq(first_movers,efficient_producers,efficient_producers,efficient_producers) = first_movers
% 0.13/0.38 & ifeq(efficient_producers,first_movers,first_movers,first_movers) = first_movers
% 0.13/0.38 & ifeq(efficient_producers,first_movers,first_movers,efficient_producers) = first_movers
% 0.13/0.38 & ifeq(efficient_producers,first_movers,efficient_producers,first_movers) = first_movers
% 0.13/0.38 & ifeq(efficient_producers,first_movers,efficient_producers,efficient_producers) = first_movers
% 0.13/0.38 & ifeq(efficient_producers,efficient_producers,first_movers,first_movers) = first_movers
% 0.13/0.38 & ifeq(efficient_producers,efficient_producers,first_movers,efficient_producers) = first_movers
% 0.13/0.38 & ifeq(efficient_producers,efficient_producers,efficient_producers,first_movers) = efficient_producers
% 0.13/0.38 & ifeq(efficient_producers,efficient_producers,efficient_producers,efficient_producers) = efficient_producers
% 0.13/0.38
% 0.13/0.38 ).
% 0.13/0.38
% 0.13/0.38 tff(declare_finite_set,type,finite_set: $i > $i).
% 0.13/0.38 tff(function_finite_set,axiom,
% 0.13/0.38 finite_set(first_movers) = first_movers
% 0.13/0.38 & finite_set(efficient_producers) = efficient_producers
% 0.13/0.38
% 0.13/0.38 ).
% 0.13/0.38
% 0.13/0.38 tff(declare_environment,type,environment: $i > $i).
% 0.13/0.38 tff(function_environment,axiom,
% 0.13/0.38 environment(first_movers) = efficient_producers
% 0.13/0.38 & environment(efficient_producers) = first_movers
% 0.13/0.38
% 0.13/0.38 ).
% 0.13/0.38
% 0.13/0.38 tff(declare_stable,type,stable: $i > $i).
% 0.13/0.38 tff(function_stable,axiom,
% 0.13/0.38 stable(first_movers) = first_movers
% 0.13/0.38 & stable(efficient_producers) = first_movers
% 0.13/0.38
% 0.13/0.38 ).
% 0.13/0.38
% 0.13/0.38 tff(declare_appear,type,appear: $i * $i > $i).
% 0.13/0.38 tff(function_appear,axiom,
% 0.13/0.38 appear(first_movers,first_movers) = first_movers
% 0.13/0.38 & appear(first_movers,efficient_producers) = efficient_producers
% 0.13/0.38 & appear(efficient_producers,first_movers) = efficient_producers
% 0.13/0.38 & appear(efficient_producers,efficient_producers) = efficient_producers
% 0.13/0.38
% 0.13/0.38 ).
% 0.13/0.38
% 0.13/0.38 tff(declare_in_environment,type,in_environment: $i * $i > $i).
% 0.13/0.38 tff(function_in_environment,axiom,
% 0.13/0.38 in_environment(first_movers,first_movers) = first_movers
% 0.13/0.38 & in_environment(first_movers,efficient_producers) = first_movers
% 0.13/0.38 & in_environment(efficient_producers,first_movers) = first_movers
% 0.13/0.38 & in_environment(efficient_producers,efficient_producers) = first_movers
% 0.13/0.38
% 0.13/0.38 ).
% 0.13/0.38
% 0.13/0.38 tff(declare_contracts_from,type,contracts_from: $i * $i > $i).
% 0.13/0.38 tff(function_contracts_from,axiom,
% 0.13/0.38 contracts_from(first_movers,first_movers) = first_movers
% 0.13/0.38 & contracts_from(first_movers,efficient_producers) = efficient_producers
% 0.13/0.38 & contracts_from(efficient_producers,first_movers) = first_movers
% 0.13/0.38 & contracts_from(efficient_producers,efficient_producers) = first_movers
% 0.13/0.38
% 0.13/0.38 ).
% 0.13/0.38
% 0.13/0.38 tff(declare_sk1,type,sk1: $i * $i > $i).
% 0.13/0.38 tff(function_sk1,axiom,
% 0.13/0.38 sk1(first_movers,first_movers) = first_movers
% 0.13/0.38 & sk1(first_movers,efficient_producers) = first_movers
% 0.13/0.38 & sk1(efficient_producers,first_movers) = first_movers
% 0.13/0.38 & sk1(efficient_producers,efficient_producers) = first_movers
% 0.13/0.38
% 0.13/0.38 ).
% 0.13/0.38
% 0.13/0.38 tff(declare_greater,type,greater: $i * $i > $i).
% 0.13/0.38 tff(function_greater,axiom,
% 0.13/0.38 greater(first_movers,first_movers) = first_movers
% 0.13/0.38 & greater(first_movers,efficient_producers) = first_movers
% 0.13/0.38 & greater(efficient_producers,first_movers) = efficient_producers
% 0.13/0.38 & greater(efficient_producers,efficient_producers) = first_movers
% 0.13/0.38
% 0.13/0.38 ).
% 0.13/0.38
% 0.13/0.38 tff(declare_cardinality_at_time,type,cardinality_at_time: $i * $i > $i).
% 0.13/0.38 tff(function_cardinality_at_time,axiom,
% 0.13/0.38 cardinality_at_time(first_movers,first_movers) = first_movers
% 0.13/0.38 & cardinality_at_time(first_movers,efficient_producers) = efficient_producers
% 0.13/0.38 & cardinality_at_time(efficient_producers,first_movers) = first_movers
% 0.13/0.38 & cardinality_at_time(efficient_producers,efficient_producers) = efficient_producers
% 0.13/0.38
% 0.13/0.38 ).
% 0.13/0.38
% 0.13/0.38 tff(declare_sk2,type,sk2: $i > $i).
% 0.13/0.38 tff(function_sk2,axiom,
% 0.13/0.38 sk2(first_movers) = first_movers
% 0.13/0.38 & sk2(efficient_producers) = efficient_producers
% 0.13/0.38
% 0.13/0.38 ).
% 0.13/0.38
% 0.13/0.38 tff(declare_tuple,type,tuple: $i * $i * $i > $i).
% 0.13/0.38 tff(function_tuple,axiom,
% 0.13/0.38 tuple(first_movers,first_movers,first_movers) = first_movers
% 0.13/0.38 & tuple(first_movers,first_movers,efficient_producers) = efficient_producers
% 0.13/0.38 & tuple(first_movers,efficient_producers,first_movers) = efficient_producers
% 0.13/0.38 & tuple(first_movers,efficient_producers,efficient_producers) = efficient_producers
% 0.13/0.38 & tuple(efficient_producers,first_movers,first_movers) = efficient_producers
% 0.13/0.38 & tuple(efficient_producers,first_movers,efficient_producers) = efficient_producers
% 0.13/0.38 & tuple(efficient_producers,efficient_producers,first_movers) = efficient_producers
% 0.13/0.38 & tuple(efficient_producers,efficient_producers,efficient_producers) = efficient_producers
% 0.13/0.38
% 0.13/0.38 ).
% 0.13/0.38
% 0.13/0.38 % SZS output end FiniteModel for theBenchmark
% 0.13/0.38 % (26698)------------------------------
% 0.13/0.38 % (26698)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.38 % (26698)Termination reason: Satisfiable
% 0.13/0.38
% 0.13/0.38 % (26698)Memory used [KB]: 945
% 0.13/0.38 % (26698)Time elapsed: 0.011 s
% 0.13/0.38 % (26698)Instructions burned: 24 (million)
% 0.13/0.38 % (26694)Success in time 0.024 s
%------------------------------------------------------------------------------