TSTP Solution File: MGT038-2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : MGT038-2 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n027.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 Aug 31 17:51:33 EDT 2022

% Result   : Satisfiable 1.49s 0.55s
% Output   : FiniteModel 1.49s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem    : MGT038-2 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34  % Computer : n027.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 03:35:45 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.49  % (30308)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50  % (30325)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.50  % (30315)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.51  % (30320)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.51  % (30311)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.33/0.52  % (30306)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.33/0.52  % (30329)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.33/0.52  % (30310)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.33/0.52  % (30307)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.33/0.53  % (30311)Instruction limit reached!
% 1.33/0.53  % (30311)------------------------------
% 1.33/0.53  % (30311)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.53  % (30311)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.53  % (30311)Termination reason: Unknown
% 1.33/0.53  % (30311)Termination phase: Saturation
% 1.33/0.53  
% 1.33/0.53  % (30311)Memory used [KB]: 5500
% 1.33/0.53  % (30311)Time elapsed: 0.070 s
% 1.33/0.53  % (30311)Instructions burned: 7 (million)
% 1.33/0.53  % (30311)------------------------------
% 1.33/0.53  % (30311)------------------------------
% 1.33/0.53  TRYING [1]
% 1.33/0.53  TRYING [2]
% 1.33/0.53  % (30305)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.33/0.53  % (30305)Refutation not found, incomplete strategy% (30305)------------------------------
% 1.33/0.53  % (30305)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.53  % (30305)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.53  % (30305)Termination reason: Refutation not found, incomplete strategy
% 1.33/0.53  
% 1.33/0.53  % (30305)Memory used [KB]: 5500
% 1.33/0.53  % (30305)Time elapsed: 0.129 s
% 1.33/0.53  % (30305)Instructions burned: 2 (million)
% 1.33/0.53  % (30305)------------------------------
% 1.33/0.53  % (30305)------------------------------
% 1.33/0.53  % (30323)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.33/0.53  % (30313)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.33/0.53  % (30326)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.33/0.53  % (30324)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.33/0.53  % (30322)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.49/0.54  % (30327)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.49/0.54  % (30331)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.49/0.54  % (30304)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.49/0.54  % (30316)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.49/0.54  % (30314)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.49/0.54  TRYING [1]
% 1.49/0.54  % (30330)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.49/0.54  % (30309)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.49/0.54  TRYING [2]
% 1.49/0.54  Finite Model Found!
% 1.49/0.54  % (30332)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.49/0.55  % (30317)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.49/0.55  % (30328)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.49/0.55  % (30334)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.49/0.55  % SZS status Satisfiable for theBenchmark
% 1.49/0.55  % (30322)First to succeed.
% 1.49/0.55  % SZS output start FiniteModel for theBenchmark
% 1.49/0.55  tff(declare_$i,type,$i:$tType).
% 1.49/0.55  tff(declare_$i1,type,first_movers:$i).
% 1.49/0.55  tff(declare_$i2,type,zero:$i).
% 1.49/0.55  tff(finite_domain,axiom,
% 1.49/0.55        ! [X:$i] : (
% 1.49/0.55           X = first_movers | X = zero
% 1.49/0.55        ) ).
% 1.49/0.55  
% 1.49/0.55  tff(distinct_domain,axiom,
% 1.49/0.55           first_movers != zero
% 1.49/0.55  ).
% 1.49/0.55  
% 1.49/0.55  tff(declare_bool,type,$o:$tType).
% 1.49/0.55  tff(declare_bool1,type,fmb_bool_1:$o).
% 1.49/0.55  tff(finite_domain,axiom,
% 1.49/0.55        ! [X:$o] : (
% 1.49/0.55           X = fmb_bool_1
% 1.49/0.55        ) ).
% 1.49/0.55  
% 1.49/0.55  tff(declare_s,type,s:$i).
% 1.49/0.55  tff(s_definition,axiom,s = first_movers).
% 1.49/0.55  tff(declare_t2,type,t2:$i).
% 1.49/0.55  tff(t2_definition,axiom,t2 = first_movers).
% 1.49/0.55  tff(declare_efficient_producers,type,efficient_producers:$i).
% 1.49/0.55  tff(efficient_producers_definition,axiom,efficient_producers = zero).
% 1.49/0.55  tff(declare_e,type,e:$i).
% 1.49/0.55  tff(e_definition,axiom,e = first_movers).
% 1.49/0.55  tff(declare_sk7,type,sk7:$i).
% 1.49/0.55  tff(sk7_definition,axiom,sk7 = first_movers).
% 1.49/0.55  tff(declare_to,type,to:$i).
% 1.49/0.55  tff(to_definition,axiom,to = zero).
% 1.49/0.55  tff(declare_sk1,type,sk1: $i * $i > $i).
% 1.49/0.55  tff(function_sk1,axiom,
% 1.49/0.55             sk1(first_movers,first_movers) = first_movers
% 1.49/0.55           & sk1(first_movers,zero) = zero
% 1.49/0.55           & sk1(zero,first_movers) = zero
% 1.49/0.55           & sk1(zero,zero) = zero
% 1.49/0.55  
% 1.49/0.55  ).
% 1.49/0.55  
% 1.49/0.55  tff(declare_cardinality_at_time,type,cardinality_at_time: $i * $i > $i).
% 1.49/0.55  tff(function_cardinality_at_time,axiom,
% 1.49/0.55             cardinality_at_time(first_movers,first_movers) = zero
% 1.49/0.55           & cardinality_at_time(first_movers,zero) = first_movers
% 1.49/0.55           & cardinality_at_time(zero,first_movers) = first_movers
% 1.49/0.55           & cardinality_at_time(zero,zero) = zero
% 1.49/0.55  
% 1.49/0.55  ).
% 1.49/0.55  
% 1.49/0.55  tff(declare_sk2,type,sk2: $i * $i > $i).
% 1.49/0.55  tff(function_sk2,axiom,
% 1.49/0.55             sk2(first_movers,first_movers) = first_movers
% 1.49/0.55           & sk2(first_movers,zero) = first_movers
% 1.49/0.55           & sk2(zero,first_movers) = first_movers
% 1.49/0.55           & sk2(zero,zero) = first_movers
% 1.49/0.55  
% 1.49/0.55  ).
% 1.49/0.55  
% 1.49/0.55  tff(declare_growth_rate,type,growth_rate: $i * $i > $i).
% 1.49/0.55  tff(function_growth_rate,axiom,
% 1.49/0.55             growth_rate(first_movers,first_movers) = first_movers
% 1.49/0.55           & growth_rate(first_movers,zero) = first_movers
% 1.49/0.55           & growth_rate(zero,first_movers) = first_movers
% 1.49/0.55           & growth_rate(zero,zero) = first_movers
% 1.49/0.55  
% 1.49/0.55  ).
% 1.49/0.55  
% 1.49/0.55  tff(declare_appear,type,appear: $i * $i > $i).
% 1.49/0.55  tff(function_appear,axiom,
% 1.49/0.55             appear(first_movers,first_movers) = first_movers
% 1.49/0.55           & appear(first_movers,zero) = zero
% 1.49/0.55           & appear(zero,first_movers) = first_movers
% 1.49/0.55           & appear(zero,zero) = first_movers
% 1.49/0.55  
% 1.49/0.55  ).
% 1.49/0.55  
% 1.49/0.55  tff(declare_sk3,type,sk3: $i * $i > $i).
% 1.49/0.55  tff(function_sk3,axiom,
% 1.49/0.55             sk3(first_movers,first_movers) = first_movers
% 1.49/0.55           & sk3(first_movers,zero) = zero
% 1.49/0.55           & sk3(zero,first_movers) = zero
% 1.49/0.55           & sk3(zero,zero) = zero
% 1.49/0.55  
% 1.49/0.55  ).
% 1.49/0.55  
% 1.49/0.55  tff(declare_sk4,type,sk4: $i > $i).
% 1.49/0.55  tff(function_sk4,axiom,
% 1.49/0.55             sk4(first_movers) = first_movers
% 1.49/0.55           & sk4(zero) = first_movers
% 1.49/0.55  
% 1.49/0.55  ).
% 1.49/0.55  
% 1.49/0.55  tff(declare_sk5,type,sk5: $i > $i).
% 1.49/0.55  tff(function_sk5,axiom,
% 1.49/0.55             sk5(first_movers) = first_movers
% 1.49/0.55           & sk5(zero) = zero
% 1.49/0.55  
% 1.49/0.55  ).
% 1.49/0.55  
% 1.49/0.55  tff(declare_equilibrium,type,equilibrium: $i > $i).
% 1.49/0.55  tff(function_equilibrium,axiom,
% 1.49/0.55             equilibrium(first_movers) = zero
% 1.49/0.55           & equilibrium(zero) = first_movers
% 1.49/0.55  
% 1.49/0.55  ).
% 1.49/0.55  
% 1.49/0.55  tff(declare_sk6,type,sk6: $i > $i).
% 1.49/0.55  tff(function_sk6,axiom,
% 1.49/0.55             sk6(first_movers) = first_movers
% 1.49/0.55           & sk6(zero) = first_movers
% 1.49/0.55  
% 1.49/0.55  ).
% 1.49/0.55  
% 1.49/0.55  tff(declare_finite_set,type,finite_set: $i > $o ).
% 1.49/0.55  tff(predicate_finite_set,axiom,
% 1.49/0.55             finite_set(first_movers)
% 1.49/0.55           & ~finite_set(zero)
% 1.49/0.55  
% 1.49/0.55  ).
% 1.49/0.55  
% 1.49/0.55  tff(declare_contracts_from,type,contracts_from: $i * $i > $o ).
% 1.49/0.55  tff(predicate_contracts_from,axiom,
% 1.49/0.55             contracts_from(first_movers,first_movers)
% 1.49/0.55           & ~contracts_from(first_movers,zero)
% 1.49/0.55           & ~contracts_from(zero,first_movers)
% 1.49/0.55           & ~contracts_from(zero,zero)
% 1.49/0.55  
% 1.49/0.55  ).
% 1.49/0.55  
% 1.49/0.55  tff(declare_greater,type,greater: $i * $i > $o ).
% 1.49/0.55  tff(predicate_greater,axiom,
% 1.49/0.55             greater(first_movers,first_movers)
% 1.49/0.55           & greater(first_movers,zero)
% 1.49/0.55           & ~greater(zero,first_movers)
% 1.49/0.55           & greater(zero,zero)
% 1.49/0.55  
% 1.49/0.55  ).
% 1.49/0.55  
% 1.49/0.55  tff(declare_environment,type,environment: $i > $o ).
% 1.49/0.55  tff(predicate_environment,axiom,
% 1.49/0.55             environment(first_movers)
% 1.49/0.55           & ~environment(zero)
% 1.49/0.55  
% 1.49/0.55  ).
% 1.49/0.55  
% 1.49/0.55  tff(declare_stable,type,stable: $i > $o ).
% 1.49/0.55  tff(predicate_stable,axiom,
% 1.49/0.55             stable(first_movers)
% 1.49/0.55           & ~stable(zero)
% 1.49/0.55  
% 1.49/0.55  ).
% 1.49/0.55  
% 1.49/0.55  tff(declare_in_environment,type,in_environment: $i * $i > $o ).
% 1.49/0.55  tff(predicate_in_environment,axiom,
% 1.49/0.55             in_environment(first_movers,first_movers)
% 1.49/0.55           & ~in_environment(first_movers,zero)
% 1.49/0.55           & ~in_environment(zero,first_movers)
% 1.49/0.55           & ~in_environment(zero,zero)
% 1.49/0.55  
% 1.49/0.55  ).
% 1.49/0.55  
% 1.49/0.55  tff(declare_greater_or_equal,type,greater_or_equal: $i * $i > $o ).
% 1.49/0.55  tff(predicate_greater_or_equal,axiom,
% 1.49/0.55             greater_or_equal(first_movers,first_movers)
% 1.49/0.55           & greater_or_equal(first_movers,zero)
% 1.49/0.55           & ~greater_or_equal(zero,first_movers)
% 1.49/0.55           & greater_or_equal(zero,zero)
% 1.49/0.55  
% 1.49/0.55  ).
% 1.49/0.55  
% 1.49/0.55  tff(declare_subpopulations,type,subpopulations: $i * $i * $i * $i > $o ).
% 1.49/0.55  tff(predicate_subpopulations,axiom,
% 1.49/0.55             ~subpopulations(first_movers,first_movers,first_movers,first_movers)
% 1.49/0.55           & ~subpopulations(first_movers,first_movers,first_movers,zero)
% 1.49/0.55           & ~subpopulations(first_movers,first_movers,zero,first_movers)
% 1.49/0.55           & subpopulations(first_movers,first_movers,zero,zero)
% 1.49/0.55           & subpopulations(first_movers,zero,first_movers,first_movers)
% 1.49/0.55           & subpopulations(first_movers,zero,first_movers,zero)
% 1.49/0.55           & ~subpopulations(first_movers,zero,zero,first_movers)
% 1.49/0.55           & subpopulations(first_movers,zero,zero,zero)
% 1.49/0.55           & ~subpopulations(zero,first_movers,first_movers,first_movers)
% 1.49/0.55           & ~subpopulations(zero,first_movers,first_movers,zero)
% 1.49/0.55           & ~subpopulations(zero,first_movers,zero,first_movers)
% 1.49/0.55           & ~subpopulations(zero,first_movers,zero,zero)
% 1.49/0.55           & ~subpopulations(zero,zero,first_movers,first_movers)
% 1.49/0.55           & ~subpopulations(zero,zero,first_movers,zero)
% 1.49/0.55           & ~subpopulations(zero,zero,zero,first_movers)
% 1.49/0.55           & ~subpopulations(zero,zero,zero,zero)
% 1.49/0.55  
% 1.49/0.55  ).
% 1.49/0.55  
% 1.49/0.55  % SZS output end FiniteModel for theBenchmark
% 1.49/0.55  % (30322)------------------------------
% 1.49/0.55  % (30322)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.55  % (30322)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.55  % (30322)Termination reason: Satisfiable
% 1.49/0.55  
% 1.49/0.55  % (30322)Memory used [KB]: 5884
% 1.49/0.55  % (30322)Time elapsed: 0.151 s
% 1.49/0.55  % (30322)Instructions burned: 20 (million)
% 1.49/0.55  % (30322)------------------------------
% 1.49/0.55  % (30322)------------------------------
% 1.49/0.55  % (30300)Success in time 0.204 s
%------------------------------------------------------------------------------