TSTP Solution File: MGT024-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : MGT024-1 : 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 : n013.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 17:51:25 EDT 2022
% Result : Unsatisfiable 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 18
% Syntax : Number of formulae : 69 ( 14 unt; 0 def)
% Number of atoms : 210 ( 45 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 224 ( 83 ~; 141 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 27 ( 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f91,plain,
$false,
inference(subsumption_resolution,[],[f90,f77]) ).
fof(f77,plain,
zero != growth_rate(first_movers,sk2),
inference(trivial_inequality_removal,[],[f70]) ).
fof(f70,plain,
( zero != zero
| zero != growth_rate(first_movers,sk2) ),
inference(superposition,[],[f19,f69]) ).
fof(f69,plain,
zero = growth_rate(efficient_producers,sk2),
inference(subsumption_resolution,[],[f68,f61]) ).
fof(f61,plain,
( greater(zero,growth_rate(efficient_producers,sk2))
| zero = growth_rate(efficient_producers,sk2) ),
inference(subsumption_resolution,[],[f60,f59]) ).
fof(f59,plain,
( greater(zero,growth_rate(first_movers,sk2))
| zero = growth_rate(efficient_producers,sk2)
| greater(zero,growth_rate(efficient_producers,sk2)) ),
inference(subsumption_resolution,[],[f58,f16]) ).
fof(f16,axiom,
environment(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l6_39) ).
fof(f58,plain,
( greater(zero,growth_rate(first_movers,sk2))
| ~ environment(sk1)
| greater(zero,growth_rate(efficient_producers,sk2))
| zero = growth_rate(efficient_producers,sk2) ),
inference(subsumption_resolution,[],[f43,f17]) ).
fof(f17,axiom,
subpopulations(first_movers,efficient_producers,sk1,sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l6_40) ).
fof(f43,plain,
( ~ subpopulations(first_movers,efficient_producers,sk1,sk2)
| zero = growth_rate(efficient_producers,sk2)
| greater(zero,growth_rate(first_movers,sk2))
| ~ environment(sk1)
| greater(zero,growth_rate(efficient_producers,sk2)) ),
inference(resolution,[],[f35,f15]) ).
fof(f15,axiom,
! [X0,X1] :
( ~ constant(number_of_organizations(X0,X1))
| greater(zero,growth_rate(efficient_producers,X1))
| greater(zero,growth_rate(first_movers,X1))
| ~ environment(X0)
| zero = growth_rate(efficient_producers,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l7_38) ).
fof(f35,plain,
constant(number_of_organizations(sk1,sk2)),
inference(subsumption_resolution,[],[f34,f16]) ).
fof(f34,plain,
( constant(number_of_organizations(sk1,sk2))
| ~ environment(sk1) ),
inference(subsumption_resolution,[],[f33,f23]) ).
fof(f23,plain,
in_environment(sk1,sk2),
inference(resolution,[],[f22,f17]) ).
fof(f22,plain,
! [X0] :
( ~ subpopulations(first_movers,efficient_producers,sk1,X0)
| in_environment(sk1,X0) ),
inference(resolution,[],[f1,f16]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ environment(X0)
| in_environment(X0,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_time_point_occur_24) ).
fof(f33,plain,
( ~ in_environment(sk1,sk2)
| ~ environment(sk1)
| constant(number_of_organizations(sk1,sk2)) ),
inference(resolution,[],[f32,f7]) ).
fof(f7,axiom,
! [X0,X1] :
( ~ constant(resources(X0,X1))
| ~ environment(X0)
| ~ in_environment(X0,X1)
| constant(number_of_organizations(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a6_30) ).
fof(f32,plain,
constant(resources(sk1,sk2)),
inference(subsumption_resolution,[],[f31,f23]) ).
fof(f31,plain,
( ~ in_environment(sk1,sk2)
| constant(resources(sk1,sk2)) ),
inference(subsumption_resolution,[],[f30,f25]) ).
fof(f25,plain,
~ greater(equilibrium(sk1),sk2),
inference(resolution,[],[f24,f18]) ).
fof(f18,axiom,
greater_or_equal(sk2,equilibrium(sk1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l6_41) ).
fof(f24,plain,
! [X0] :
( ~ greater_or_equal(X0,equilibrium(sk1))
| ~ greater(equilibrium(sk1),X0) ),
inference(resolution,[],[f3,f16]) ).
fof(f3,axiom,
! [X0,X1] :
( ~ environment(X0)
| ~ greater(equilibrium(X0),X1)
| ~ greater_or_equal(X1,equilibrium(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_equilibrium_26) ).
fof(f30,plain,
( greater(equilibrium(sk1),sk2)
| constant(resources(sk1,sk2))
| ~ in_environment(sk1,sk2) ),
inference(subsumption_resolution,[],[f28,f16]) ).
fof(f28,plain,
( ~ environment(sk1)
| greater(equilibrium(sk1),sk2)
| ~ in_environment(sk1,sk2)
| constant(resources(sk1,sk2)) ),
inference(resolution,[],[f27,f5]) ).
fof(f5,axiom,
! [X0,X1] :
( ~ greater(number_of_organizations(X0,X1),zero)
| constant(resources(X0,X1))
| ~ in_environment(X0,X1)
| ~ environment(X0)
| greater(equilibrium(X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a3_28) ).
fof(f27,plain,
greater(number_of_organizations(sk1,sk2),zero),
inference(resolution,[],[f26,f17]) ).
fof(f26,plain,
! [X0] :
( ~ subpopulations(first_movers,efficient_producers,sk1,X0)
| greater(number_of_organizations(sk1,X0),zero) ),
inference(resolution,[],[f2,f16]) ).
fof(f2,axiom,
! [X0,X1] :
( ~ environment(X0)
| greater(number_of_organizations(X0,X1),zero)
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_positive_number_of_organizations_25) ).
fof(f60,plain,
( ~ greater(zero,growth_rate(first_movers,sk2))
| greater(zero,growth_rate(efficient_producers,sk2))
| zero = growth_rate(efficient_producers,sk2) ),
inference(resolution,[],[f45,f21]) ).
fof(f21,axiom,
( ~ greater(growth_rate(efficient_producers,sk2),zero)
| ~ greater(zero,growth_rate(first_movers,sk2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l6_44) ).
fof(f45,plain,
( greater(growth_rate(efficient_producers,sk2),zero)
| zero = growth_rate(efficient_producers,sk2)
| greater(zero,growth_rate(efficient_producers,sk2)) ),
inference(subsumption_resolution,[],[f44,f17]) ).
fof(f44,plain,
( greater(zero,growth_rate(efficient_producers,sk2))
| zero = growth_rate(efficient_producers,sk2)
| ~ subpopulations(first_movers,efficient_producers,sk1,sk2)
| greater(growth_rate(efficient_producers,sk2),zero) ),
inference(subsumption_resolution,[],[f42,f16]) ).
fof(f42,plain,
( greater(zero,growth_rate(efficient_producers,sk2))
| ~ environment(sk1)
| zero = growth_rate(efficient_producers,sk2)
| ~ subpopulations(first_movers,efficient_producers,sk1,sk2)
| greater(growth_rate(efficient_producers,sk2),zero) ),
inference(resolution,[],[f35,f14]) ).
fof(f14,axiom,
! [X0,X1] :
( ~ constant(number_of_organizations(X0,X1))
| zero = growth_rate(efficient_producers,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| greater(zero,growth_rate(efficient_producers,X1))
| ~ environment(X0)
| greater(growth_rate(efficient_producers,X1),zero) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l7_37) ).
fof(f68,plain,
( ~ greater(zero,growth_rate(efficient_producers,sk2))
| zero = growth_rate(efficient_producers,sk2) ),
inference(resolution,[],[f63,f20]) ).
fof(f20,axiom,
( ~ greater(growth_rate(first_movers,sk2),zero)
| ~ greater(zero,growth_rate(efficient_producers,sk2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l6_43) ).
fof(f63,plain,
( greater(growth_rate(first_movers,sk2),zero)
| zero = growth_rate(efficient_producers,sk2) ),
inference(subsumption_resolution,[],[f62,f53]) ).
fof(f53,plain,
( greater(growth_rate(first_movers,sk2),zero)
| zero = growth_rate(efficient_producers,sk2)
| greater(zero,growth_rate(first_movers,sk2)) ),
inference(subsumption_resolution,[],[f52,f17]) ).
fof(f52,plain,
( greater(growth_rate(first_movers,sk2),zero)
| ~ subpopulations(first_movers,efficient_producers,sk1,sk2)
| zero = growth_rate(efficient_producers,sk2)
| greater(zero,growth_rate(first_movers,sk2)) ),
inference(subsumption_resolution,[],[f41,f16]) ).
fof(f41,plain,
( ~ environment(sk1)
| zero = growth_rate(efficient_producers,sk2)
| greater(growth_rate(first_movers,sk2),zero)
| greater(zero,growth_rate(first_movers,sk2))
| ~ subpopulations(first_movers,efficient_producers,sk1,sk2) ),
inference(resolution,[],[f35,f13]) ).
fof(f13,axiom,
! [X0,X1] :
( ~ constant(number_of_organizations(X0,X1))
| greater(growth_rate(first_movers,X1),zero)
| greater(zero,growth_rate(first_movers,X1))
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| zero = growth_rate(efficient_producers,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l7_36) ).
fof(f62,plain,
( zero = growth_rate(efficient_producers,sk2)
| ~ greater(zero,growth_rate(first_movers,sk2))
| greater(growth_rate(first_movers,sk2),zero) ),
inference(resolution,[],[f49,f21]) ).
fof(f49,plain,
( greater(growth_rate(efficient_producers,sk2),zero)
| greater(growth_rate(first_movers,sk2),zero)
| zero = growth_rate(efficient_producers,sk2) ),
inference(subsumption_resolution,[],[f48,f16]) ).
fof(f48,plain,
( zero = growth_rate(efficient_producers,sk2)
| greater(growth_rate(efficient_producers,sk2),zero)
| ~ environment(sk1)
| greater(growth_rate(first_movers,sk2),zero) ),
inference(subsumption_resolution,[],[f40,f17]) ).
fof(f40,plain,
( ~ subpopulations(first_movers,efficient_producers,sk1,sk2)
| ~ environment(sk1)
| greater(growth_rate(efficient_producers,sk2),zero)
| zero = growth_rate(efficient_producers,sk2)
| greater(growth_rate(first_movers,sk2),zero) ),
inference(resolution,[],[f35,f12]) ).
fof(f12,axiom,
! [X0,X1] :
( ~ constant(number_of_organizations(X0,X1))
| zero = growth_rate(efficient_producers,X1)
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| greater(growth_rate(efficient_producers,X1),zero)
| greater(growth_rate(first_movers,X1),zero) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l7_35) ).
fof(f19,axiom,
( zero != growth_rate(efficient_producers,sk2)
| zero != growth_rate(first_movers,sk2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l6_42) ).
fof(f90,plain,
zero = growth_rate(first_movers,sk2),
inference(subsumption_resolution,[],[f86,f80]) ).
fof(f80,plain,
~ greater(zero,zero),
inference(forward_demodulation,[],[f79,f69]) ).
fof(f79,plain,
~ greater(zero,growth_rate(efficient_producers,sk2)),
inference(subsumption_resolution,[],[f78,f77]) ).
fof(f78,plain,
( zero = growth_rate(first_movers,sk2)
| ~ greater(zero,growth_rate(efficient_producers,sk2)) ),
inference(resolution,[],[f65,f20]) ).
fof(f65,plain,
( greater(growth_rate(first_movers,sk2),zero)
| zero = growth_rate(first_movers,sk2) ),
inference(subsumption_resolution,[],[f64,f55]) ).
fof(f55,plain,
( greater(growth_rate(first_movers,sk2),zero)
| greater(zero,growth_rate(first_movers,sk2))
| zero = growth_rate(first_movers,sk2) ),
inference(subsumption_resolution,[],[f54,f17]) ).
fof(f54,plain,
( zero = growth_rate(first_movers,sk2)
| greater(zero,growth_rate(first_movers,sk2))
| ~ subpopulations(first_movers,efficient_producers,sk1,sk2)
| greater(growth_rate(first_movers,sk2),zero) ),
inference(subsumption_resolution,[],[f37,f16]) ).
fof(f37,plain,
( ~ environment(sk1)
| greater(zero,growth_rate(first_movers,sk2))
| zero = growth_rate(first_movers,sk2)
| greater(growth_rate(first_movers,sk2),zero)
| ~ subpopulations(first_movers,efficient_producers,sk1,sk2) ),
inference(resolution,[],[f35,f9]) ).
fof(f9,axiom,
! [X0,X1] :
( ~ constant(number_of_organizations(X0,X1))
| greater(growth_rate(first_movers,X1),zero)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| greater(zero,growth_rate(first_movers,X1))
| ~ environment(X0)
| zero = growth_rate(first_movers,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l7_32) ).
fof(f64,plain,
( zero = growth_rate(first_movers,sk2)
| greater(growth_rate(first_movers,sk2),zero)
| ~ greater(zero,growth_rate(first_movers,sk2)) ),
inference(resolution,[],[f51,f21]) ).
fof(f51,plain,
( greater(growth_rate(efficient_producers,sk2),zero)
| greater(growth_rate(first_movers,sk2),zero)
| zero = growth_rate(first_movers,sk2) ),
inference(subsumption_resolution,[],[f50,f17]) ).
fof(f50,plain,
( greater(growth_rate(efficient_producers,sk2),zero)
| zero = growth_rate(first_movers,sk2)
| greater(growth_rate(first_movers,sk2),zero)
| ~ subpopulations(first_movers,efficient_producers,sk1,sk2) ),
inference(subsumption_resolution,[],[f36,f16]) ).
fof(f36,plain,
( ~ environment(sk1)
| greater(growth_rate(first_movers,sk2),zero)
| greater(growth_rate(efficient_producers,sk2),zero)
| zero = growth_rate(first_movers,sk2)
| ~ subpopulations(first_movers,efficient_producers,sk1,sk2) ),
inference(resolution,[],[f35,f8]) ).
fof(f8,axiom,
! [X0,X1] :
( ~ constant(number_of_organizations(X0,X1))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| greater(growth_rate(first_movers,X1),zero)
| greater(growth_rate(efficient_producers,X1),zero)
| ~ environment(X0)
| zero = growth_rate(first_movers,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l7_31) ).
fof(f86,plain,
( greater(zero,zero)
| zero = growth_rate(first_movers,sk2) ),
inference(duplicate_literal_removal,[],[f85]) ).
fof(f85,plain,
( greater(zero,zero)
| greater(zero,zero)
| zero = growth_rate(first_movers,sk2) ),
inference(superposition,[],[f57,f69]) ).
fof(f57,plain,
( greater(growth_rate(efficient_producers,sk2),zero)
| zero = growth_rate(first_movers,sk2)
| greater(zero,growth_rate(efficient_producers,sk2)) ),
inference(subsumption_resolution,[],[f56,f16]) ).
fof(f56,plain,
( zero = growth_rate(first_movers,sk2)
| ~ environment(sk1)
| greater(growth_rate(efficient_producers,sk2),zero)
| greater(zero,growth_rate(efficient_producers,sk2)) ),
inference(subsumption_resolution,[],[f38,f17]) ).
fof(f38,plain,
( ~ subpopulations(first_movers,efficient_producers,sk1,sk2)
| greater(zero,growth_rate(efficient_producers,sk2))
| ~ environment(sk1)
| zero = growth_rate(first_movers,sk2)
| greater(growth_rate(efficient_producers,sk2),zero) ),
inference(resolution,[],[f35,f10]) ).
fof(f10,axiom,
! [X0,X1] :
( ~ constant(number_of_organizations(X0,X1))
| ~ environment(X0)
| zero = growth_rate(first_movers,X1)
| greater(growth_rate(efficient_producers,X1),zero)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| greater(zero,growth_rate(efficient_producers,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l7_33) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MGT024-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 03:10:32 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.49 % (22245)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)
% 0.20/0.50 % (22245)First to succeed.
% 0.20/0.50 % (22264)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.50 % (22245)Refutation found. Thanks to Tanya!
% 0.20/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50 % (22245)------------------------------
% 0.20/0.50 % (22245)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (22245)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (22245)Termination reason: Refutation
% 0.20/0.50
% 0.20/0.50 % (22245)Memory used [KB]: 1023
% 0.20/0.50 % (22245)Time elapsed: 0.098 s
% 0.20/0.50 % (22245)Instructions burned: 3 (million)
% 0.20/0.50 % (22245)------------------------------
% 0.20/0.50 % (22245)------------------------------
% 0.20/0.50 % (22242)Success in time 0.153 s
%------------------------------------------------------------------------------