TSTP Solution File: MGT025-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : MGT025-1 : 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 : 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 : Sun May 5 07:57:08 EDT 2024
% Result : Unsatisfiable 0.16s 0.38s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 22
% Syntax : Number of formulae : 100 ( 19 unt; 0 def)
% Number of atoms : 293 ( 16 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 306 ( 113 ~; 193 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 59 ( 59 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f149,plain,
$false,
inference(subsumption_resolution,[],[f148,f139]) ).
fof(f139,plain,
~ greater(zero,zero),
inference(forward_demodulation,[],[f138,f121]) ).
fof(f121,plain,
zero = growth_rate(efficient_producers,sk2),
inference(unit_resulting_resolution,[],[f21,f37,f39,f45,f119,f14]) ).
fof(f14,axiom,
! [X2,X0,X1] :
( ~ subpopulation(X2,X0,X1)
| ~ in_environment(X0,X1)
| ~ constant(cardinality_at_time(X2,X1))
| ~ environment(X0)
| ~ greater(cardinality_at_time(X2,X1),zero)
| zero = growth_rate(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_growth_rate_40) ).
fof(f119,plain,
constant(cardinality_at_time(efficient_producers,sk2)),
inference(subsumption_resolution,[],[f118,f113]) ).
fof(f113,plain,
( ~ greater(zero,growth_rate(first_movers,sk2))
| constant(cardinality_at_time(efficient_producers,sk2)) ),
inference(resolution,[],[f112,f26]) ).
fof(f26,axiom,
( ~ greater(growth_rate(efficient_producers,sk2),zero)
| ~ greater(zero,growth_rate(first_movers,sk2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l7_52) ).
fof(f112,plain,
( greater(growth_rate(efficient_producers,sk2),zero)
| constant(cardinality_at_time(efficient_producers,sk2)) ),
inference(resolution,[],[f111,f81]) ).
fof(f81,plain,
( ~ increases(cardinality_at_time(efficient_producers,sk2))
| greater(growth_rate(efficient_producers,sk2),zero) ),
inference(subsumption_resolution,[],[f80,f45]) ).
fof(f80,plain,
( ~ increases(cardinality_at_time(efficient_producers,sk2))
| ~ greater(cardinality_at_time(efficient_producers,sk2),zero)
| greater(growth_rate(efficient_producers,sk2),zero) ),
inference(subsumption_resolution,[],[f79,f21]) ).
fof(f79,plain,
( ~ increases(cardinality_at_time(efficient_producers,sk2))
| ~ environment(sk1)
| ~ greater(cardinality_at_time(efficient_producers,sk2),zero)
| greater(growth_rate(efficient_producers,sk2),zero) ),
inference(subsumption_resolution,[],[f77,f37]) ).
fof(f77,plain,
( ~ in_environment(sk1,sk2)
| ~ increases(cardinality_at_time(efficient_producers,sk2))
| ~ environment(sk1)
| ~ greater(cardinality_at_time(efficient_producers,sk2),zero)
| greater(growth_rate(efficient_producers,sk2),zero) ),
inference(resolution,[],[f15,f39]) ).
fof(f15,axiom,
! [X2,X0,X1] :
( ~ subpopulation(X2,X0,X1)
| ~ in_environment(X0,X1)
| ~ increases(cardinality_at_time(X2,X1))
| ~ environment(X0)
| ~ greater(cardinality_at_time(X2,X1),zero)
| greater(growth_rate(X2,X1),zero) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_growth_rate_41) ).
fof(f111,plain,
( increases(cardinality_at_time(efficient_producers,sk2))
| constant(cardinality_at_time(efficient_producers,sk2)) ),
inference(duplicate_literal_removal,[],[f110]) ).
fof(f110,plain,
( increases(cardinality_at_time(efficient_producers,sk2))
| constant(cardinality_at_time(efficient_producers,sk2))
| constant(cardinality_at_time(efficient_producers,sk2)) ),
inference(resolution,[],[f97,f107]) ).
fof(f107,plain,
( ~ greater(zero,growth_rate(efficient_producers,sk2))
| constant(cardinality_at_time(efficient_producers,sk2)) ),
inference(resolution,[],[f105,f25]) ).
fof(f25,axiom,
( ~ greater(growth_rate(first_movers,sk2),zero)
| ~ greater(zero,growth_rate(efficient_producers,sk2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l7_51) ).
fof(f105,plain,
( greater(growth_rate(first_movers,sk2),zero)
| constant(cardinality_at_time(efficient_producers,sk2)) ),
inference(resolution,[],[f103,f84]) ).
fof(f84,plain,
( ~ increases(cardinality_at_time(first_movers,sk2))
| greater(growth_rate(first_movers,sk2),zero) ),
inference(subsumption_resolution,[],[f83,f43]) ).
fof(f43,plain,
greater(cardinality_at_time(first_movers,sk2),zero),
inference(unit_resulting_resolution,[],[f21,f22,f17]) ).
fof(f17,axiom,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| greater(cardinality_at_time(first_movers,X1),zero) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_non_zero_producers_43) ).
fof(f22,axiom,
subpopulations(first_movers,efficient_producers,sk1,sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l7_48) ).
fof(f83,plain,
( ~ increases(cardinality_at_time(first_movers,sk2))
| ~ greater(cardinality_at_time(first_movers,sk2),zero)
| greater(growth_rate(first_movers,sk2),zero) ),
inference(subsumption_resolution,[],[f82,f21]) ).
fof(f82,plain,
( ~ increases(cardinality_at_time(first_movers,sk2))
| ~ environment(sk1)
| ~ greater(cardinality_at_time(first_movers,sk2),zero)
| greater(growth_rate(first_movers,sk2),zero) ),
inference(subsumption_resolution,[],[f78,f37]) ).
fof(f78,plain,
( ~ in_environment(sk1,sk2)
| ~ increases(cardinality_at_time(first_movers,sk2))
| ~ environment(sk1)
| ~ greater(cardinality_at_time(first_movers,sk2),zero)
| greater(growth_rate(first_movers,sk2),zero) ),
inference(resolution,[],[f15,f40]) ).
fof(f40,plain,
subpopulation(first_movers,sk1,sk2),
inference(unit_resulting_resolution,[],[f21,f37,f4]) ).
fof(f4,axiom,
! [X0,X1] :
( ~ in_environment(X0,X1)
| ~ environment(X0)
| subpopulation(first_movers,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_subpopulations_30) ).
fof(f103,plain,
( increases(cardinality_at_time(first_movers,sk2))
| constant(cardinality_at_time(efficient_producers,sk2)) ),
inference(subsumption_resolution,[],[f101,f87]) ).
fof(f87,plain,
( ~ greater(zero,growth_rate(first_movers,sk2))
| constant(cardinality_at_time(efficient_producers,sk2))
| increases(cardinality_at_time(first_movers,sk2)) ),
inference(resolution,[],[f85,f26]) ).
fof(f85,plain,
( greater(growth_rate(efficient_producers,sk2),zero)
| increases(cardinality_at_time(first_movers,sk2))
| constant(cardinality_at_time(efficient_producers,sk2)) ),
inference(resolution,[],[f81,f62]) ).
fof(f62,plain,
( increases(cardinality_at_time(efficient_producers,sk2))
| increases(cardinality_at_time(first_movers,sk2))
| constant(cardinality_at_time(efficient_producers,sk2)) ),
inference(subsumption_resolution,[],[f54,f23]) ).
fof(f23,axiom,
constant(number_of_organizations(sk1,sk2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l7_49) ).
fof(f54,plain,
( ~ constant(number_of_organizations(sk1,sk2))
| increases(cardinality_at_time(efficient_producers,sk2))
| increases(cardinality_at_time(first_movers,sk2))
| constant(cardinality_at_time(efficient_producers,sk2)) ),
inference(superposition,[],[f34,f47]) ).
fof(f47,plain,
number_of_organizations(sk1,sk2) = sum(cardinality_at_time(first_movers,sk2),cardinality_at_time(efficient_producers,sk2)),
inference(unit_resulting_resolution,[],[f21,f40,f27]) ).
fof(f27,plain,
! [X2,X0] :
( ~ subpopulation(first_movers,X0,X2)
| ~ environment(X0)
| number_of_organizations(X0,X2) = sum(cardinality_at_time(first_movers,X2),cardinality_at_time(efficient_producers,X2)) ),
inference(equality_resolution,[],[f3]) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ environment(X0)
| first_movers != X1
| ~ subpopulation(X1,X0,X2)
| number_of_organizations(X0,X2) = sum(cardinality_at_time(first_movers,X2),cardinality_at_time(efficient_producers,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_only_members_29) ).
fof(f34,plain,
! [X2,X1] :
( ~ constant(sum(X1,X2))
| increases(X2)
| increases(X1)
| constant(X2) ),
inference(equality_resolution,[],[f11]) ).
fof(f11,axiom,
! [X2,X0,X1] :
( ~ constant(X0)
| increases(X2)
| increases(X1)
| constant(X2)
| sum(X1,X2) != X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_abc_sum_increase_37) ).
fof(f101,plain,
( greater(zero,growth_rate(first_movers,sk2))
| increases(cardinality_at_time(first_movers,sk2))
| constant(cardinality_at_time(efficient_producers,sk2)) ),
inference(resolution,[],[f96,f61]) ).
fof(f61,plain,
( decreases(cardinality_at_time(first_movers,sk2))
| increases(cardinality_at_time(first_movers,sk2))
| constant(cardinality_at_time(efficient_producers,sk2)) ),
inference(subsumption_resolution,[],[f53,f23]) ).
fof(f53,plain,
( ~ constant(number_of_organizations(sk1,sk2))
| decreases(cardinality_at_time(first_movers,sk2))
| increases(cardinality_at_time(first_movers,sk2))
| constant(cardinality_at_time(efficient_producers,sk2)) ),
inference(superposition,[],[f33,f47]) ).
fof(f33,plain,
! [X2,X1] :
( ~ constant(sum(X1,X2))
| decreases(X1)
| increases(X1)
| constant(X2) ),
inference(equality_resolution,[],[f10]) ).
fof(f10,axiom,
! [X2,X0,X1] :
( ~ constant(X0)
| decreases(X1)
| increases(X1)
| constant(X2)
| sum(X1,X2) != X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_abc_sum_increase_36) ).
fof(f96,plain,
( ~ decreases(cardinality_at_time(first_movers,sk2))
| greater(zero,growth_rate(first_movers,sk2)) ),
inference(subsumption_resolution,[],[f95,f43]) ).
fof(f95,plain,
( ~ decreases(cardinality_at_time(first_movers,sk2))
| ~ greater(cardinality_at_time(first_movers,sk2),zero)
| greater(zero,growth_rate(first_movers,sk2)) ),
inference(subsumption_resolution,[],[f94,f21]) ).
fof(f94,plain,
( ~ decreases(cardinality_at_time(first_movers,sk2))
| ~ environment(sk1)
| ~ greater(cardinality_at_time(first_movers,sk2),zero)
| greater(zero,growth_rate(first_movers,sk2)) ),
inference(subsumption_resolution,[],[f90,f37]) ).
fof(f90,plain,
( ~ in_environment(sk1,sk2)
| ~ decreases(cardinality_at_time(first_movers,sk2))
| ~ environment(sk1)
| ~ greater(cardinality_at_time(first_movers,sk2),zero)
| greater(zero,growth_rate(first_movers,sk2)) ),
inference(resolution,[],[f16,f40]) ).
fof(f16,axiom,
! [X2,X0,X1] :
( ~ subpopulation(X2,X0,X1)
| ~ in_environment(X0,X1)
| ~ decreases(cardinality_at_time(X2,X1))
| ~ environment(X0)
| ~ greater(cardinality_at_time(X2,X1),zero)
| greater(zero,growth_rate(X2,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_growth_rate_42) ).
fof(f97,plain,
( greater(zero,growth_rate(efficient_producers,sk2))
| increases(cardinality_at_time(efficient_producers,sk2))
| constant(cardinality_at_time(efficient_producers,sk2)) ),
inference(resolution,[],[f93,f64]) ).
fof(f64,plain,
( decreases(cardinality_at_time(efficient_producers,sk2))
| increases(cardinality_at_time(efficient_producers,sk2))
| constant(cardinality_at_time(efficient_producers,sk2)) ),
inference(subsumption_resolution,[],[f56,f23]) ).
fof(f56,plain,
( ~ constant(number_of_organizations(sk1,sk2))
| increases(cardinality_at_time(efficient_producers,sk2))
| decreases(cardinality_at_time(efficient_producers,sk2))
| constant(cardinality_at_time(efficient_producers,sk2)) ),
inference(superposition,[],[f36,f47]) ).
fof(f36,plain,
! [X2,X1] :
( ~ constant(sum(X1,X2))
| increases(X2)
| decreases(X2)
| constant(X2) ),
inference(equality_resolution,[],[f13]) ).
fof(f13,axiom,
! [X2,X0,X1] :
( ~ constant(X0)
| increases(X2)
| decreases(X2)
| constant(X2)
| sum(X1,X2) != X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_abc_sum_increase_39) ).
fof(f93,plain,
( ~ decreases(cardinality_at_time(efficient_producers,sk2))
| greater(zero,growth_rate(efficient_producers,sk2)) ),
inference(subsumption_resolution,[],[f92,f45]) ).
fof(f92,plain,
( ~ decreases(cardinality_at_time(efficient_producers,sk2))
| ~ greater(cardinality_at_time(efficient_producers,sk2),zero)
| greater(zero,growth_rate(efficient_producers,sk2)) ),
inference(subsumption_resolution,[],[f91,f21]) ).
fof(f91,plain,
( ~ decreases(cardinality_at_time(efficient_producers,sk2))
| ~ environment(sk1)
| ~ greater(cardinality_at_time(efficient_producers,sk2),zero)
| greater(zero,growth_rate(efficient_producers,sk2)) ),
inference(subsumption_resolution,[],[f89,f37]) ).
fof(f89,plain,
( ~ in_environment(sk1,sk2)
| ~ decreases(cardinality_at_time(efficient_producers,sk2))
| ~ environment(sk1)
| ~ greater(cardinality_at_time(efficient_producers,sk2),zero)
| greater(zero,growth_rate(efficient_producers,sk2)) ),
inference(resolution,[],[f16,f39]) ).
fof(f118,plain,
( constant(cardinality_at_time(efficient_producers,sk2))
| greater(zero,growth_rate(first_movers,sk2)) ),
inference(resolution,[],[f117,f96]) ).
fof(f117,plain,
( decreases(cardinality_at_time(first_movers,sk2))
| constant(cardinality_at_time(efficient_producers,sk2)) ),
inference(duplicate_literal_removal,[],[f116]) ).
fof(f116,plain,
( decreases(cardinality_at_time(first_movers,sk2))
| constant(cardinality_at_time(efficient_producers,sk2))
| constant(cardinality_at_time(efficient_producers,sk2)) ),
inference(resolution,[],[f98,f107]) ).
fof(f98,plain,
( greater(zero,growth_rate(efficient_producers,sk2))
| decreases(cardinality_at_time(first_movers,sk2))
| constant(cardinality_at_time(efficient_producers,sk2)) ),
inference(resolution,[],[f93,f63]) ).
fof(f63,plain,
( decreases(cardinality_at_time(efficient_producers,sk2))
| decreases(cardinality_at_time(first_movers,sk2))
| constant(cardinality_at_time(efficient_producers,sk2)) ),
inference(subsumption_resolution,[],[f55,f23]) ).
fof(f55,plain,
( ~ constant(number_of_organizations(sk1,sk2))
| decreases(cardinality_at_time(first_movers,sk2))
| decreases(cardinality_at_time(efficient_producers,sk2))
| constant(cardinality_at_time(efficient_producers,sk2)) ),
inference(superposition,[],[f35,f47]) ).
fof(f35,plain,
! [X2,X1] :
( ~ constant(sum(X1,X2))
| decreases(X1)
| decreases(X2)
| constant(X2) ),
inference(equality_resolution,[],[f12]) ).
fof(f12,axiom,
! [X2,X0,X1] :
( ~ constant(X0)
| decreases(X1)
| decreases(X2)
| constant(X2)
| sum(X1,X2) != X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_abc_sum_increase_38) ).
fof(f45,plain,
greater(cardinality_at_time(efficient_producers,sk2),zero),
inference(unit_resulting_resolution,[],[f21,f22,f18]) ).
fof(f18,axiom,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| greater(cardinality_at_time(efficient_producers,X1),zero) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_non_zero_producers_44) ).
fof(f39,plain,
subpopulation(efficient_producers,sk1,sk2),
inference(unit_resulting_resolution,[],[f21,f37,f5]) ).
fof(f5,axiom,
! [X0,X1] :
( ~ in_environment(X0,X1)
| ~ environment(X0)
| subpopulation(efficient_producers,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_subpopulations_31) ).
fof(f37,plain,
in_environment(sk1,sk2),
inference(unit_resulting_resolution,[],[f21,f22,f19]) ).
fof(f19,axiom,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_time_point_occur_45) ).
fof(f21,axiom,
environment(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l7_47) ).
fof(f138,plain,
~ greater(zero,growth_rate(efficient_producers,sk2)),
inference(unit_resulting_resolution,[],[f135,f108]) ).
fof(f108,plain,
( ~ greater(zero,growth_rate(efficient_producers,sk2))
| constant(cardinality_at_time(first_movers,sk2)) ),
inference(resolution,[],[f106,f25]) ).
fof(f106,plain,
( greater(growth_rate(first_movers,sk2),zero)
| constant(cardinality_at_time(first_movers,sk2)) ),
inference(resolution,[],[f104,f84]) ).
fof(f104,plain,
( increases(cardinality_at_time(first_movers,sk2))
| constant(cardinality_at_time(first_movers,sk2)) ),
inference(subsumption_resolution,[],[f102,f88]) ).
fof(f88,plain,
( ~ greater(zero,growth_rate(first_movers,sk2))
| constant(cardinality_at_time(first_movers,sk2))
| increases(cardinality_at_time(first_movers,sk2)) ),
inference(resolution,[],[f86,f26]) ).
fof(f86,plain,
( greater(growth_rate(efficient_producers,sk2),zero)
| increases(cardinality_at_time(first_movers,sk2))
| constant(cardinality_at_time(first_movers,sk2)) ),
inference(resolution,[],[f81,f59]) ).
fof(f59,plain,
( increases(cardinality_at_time(efficient_producers,sk2))
| increases(cardinality_at_time(first_movers,sk2))
| constant(cardinality_at_time(first_movers,sk2)) ),
inference(subsumption_resolution,[],[f51,f23]) ).
fof(f51,plain,
( ~ constant(number_of_organizations(sk1,sk2))
| increases(cardinality_at_time(efficient_producers,sk2))
| increases(cardinality_at_time(first_movers,sk2))
| constant(cardinality_at_time(first_movers,sk2)) ),
inference(superposition,[],[f31,f47]) ).
fof(f31,plain,
! [X2,X1] :
( ~ constant(sum(X1,X2))
| increases(X2)
| increases(X1)
| constant(X1) ),
inference(equality_resolution,[],[f7]) ).
fof(f7,axiom,
! [X2,X0,X1] :
( ~ constant(X0)
| increases(X2)
| increases(X1)
| constant(X1)
| sum(X1,X2) != X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_abc_sum_increase_33) ).
fof(f102,plain,
( greater(zero,growth_rate(first_movers,sk2))
| increases(cardinality_at_time(first_movers,sk2))
| constant(cardinality_at_time(first_movers,sk2)) ),
inference(resolution,[],[f96,f57]) ).
fof(f57,plain,
( decreases(cardinality_at_time(first_movers,sk2))
| increases(cardinality_at_time(first_movers,sk2))
| constant(cardinality_at_time(first_movers,sk2)) ),
inference(subsumption_resolution,[],[f49,f23]) ).
fof(f49,plain,
( ~ constant(number_of_organizations(sk1,sk2))
| decreases(cardinality_at_time(first_movers,sk2))
| increases(cardinality_at_time(first_movers,sk2))
| constant(cardinality_at_time(first_movers,sk2)) ),
inference(superposition,[],[f29,f47]) ).
fof(f29,plain,
! [X2,X1] :
( ~ constant(sum(X1,X2))
| decreases(X1)
| increases(X1)
| constant(X1) ),
inference(equality_resolution,[],[f6]) ).
fof(f6,axiom,
! [X2,X0,X1] :
( ~ constant(X0)
| decreases(X1)
| increases(X1)
| constant(X1)
| sum(X1,X2) != X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_abc_sum_increase_32) ).
fof(f135,plain,
~ constant(cardinality_at_time(first_movers,sk2)),
inference(unit_resulting_resolution,[],[f21,f37,f40,f43,f123,f14]) ).
fof(f123,plain,
zero != growth_rate(first_movers,sk2),
inference(unit_resulting_resolution,[],[f121,f24]) ).
fof(f24,axiom,
( zero != growth_rate(efficient_producers,sk2)
| zero != growth_rate(first_movers,sk2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l7_50) ).
fof(f148,plain,
greater(zero,zero),
inference(forward_demodulation,[],[f146,f121]) ).
fof(f146,plain,
greater(growth_rate(efficient_producers,sk2),zero),
inference(unit_resulting_resolution,[],[f21,f37,f39,f45,f144,f15]) ).
fof(f144,plain,
increases(cardinality_at_time(efficient_producers,sk2)),
inference(subsumption_resolution,[],[f143,f135]) ).
fof(f143,plain,
( increases(cardinality_at_time(efficient_producers,sk2))
| constant(cardinality_at_time(first_movers,sk2)) ),
inference(duplicate_literal_removal,[],[f140]) ).
fof(f140,plain,
( increases(cardinality_at_time(efficient_producers,sk2))
| constant(cardinality_at_time(first_movers,sk2))
| constant(cardinality_at_time(first_movers,sk2)) ),
inference(resolution,[],[f99,f108]) ).
fof(f99,plain,
( greater(zero,growth_rate(efficient_producers,sk2))
| increases(cardinality_at_time(efficient_producers,sk2))
| constant(cardinality_at_time(first_movers,sk2)) ),
inference(resolution,[],[f93,f60]) ).
fof(f60,plain,
( decreases(cardinality_at_time(efficient_producers,sk2))
| increases(cardinality_at_time(efficient_producers,sk2))
| constant(cardinality_at_time(first_movers,sk2)) ),
inference(subsumption_resolution,[],[f52,f23]) ).
fof(f52,plain,
( ~ constant(number_of_organizations(sk1,sk2))
| increases(cardinality_at_time(efficient_producers,sk2))
| decreases(cardinality_at_time(efficient_producers,sk2))
| constant(cardinality_at_time(first_movers,sk2)) ),
inference(superposition,[],[f32,f47]) ).
fof(f32,plain,
! [X2,X1] :
( ~ constant(sum(X1,X2))
| increases(X2)
| decreases(X2)
| constant(X1) ),
inference(equality_resolution,[],[f9]) ).
fof(f9,axiom,
! [X2,X0,X1] :
( ~ constant(X0)
| increases(X2)
| decreases(X2)
| constant(X1)
| sum(X1,X2) != X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_abc_sum_increase_35) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : MGT025-1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.35 % Computer : n027.cluster.edu
% 0.16/0.35 % Model : x86_64 x86_64
% 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35 % Memory : 8042.1875MB
% 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35 % CPULimit : 300
% 0.16/0.35 % WCLimit : 300
% 0.16/0.35 % DateTime : Fri May 3 20:03:53 EDT 2024
% 0.16/0.35 % CPUTime :
% 0.16/0.36 % (6197)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.37 % (6200)WARNING: value z3 for option sas not known
% 0.16/0.37 % (6200)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)
% 0.16/0.37 % (6201)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.37 % (6198)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.37 % (6199)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.38 % (6202)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)
% 0.16/0.38 % (6203)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)
% 0.16/0.38 % (6204)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)
% 0.16/0.38 TRYING [1]
% 0.16/0.38 TRYING [1]
% 0.16/0.38 TRYING [2]
% 0.16/0.38 TRYING [2]
% 0.16/0.38 % (6204)First to succeed.
% 0.16/0.38 TRYING [3]
% 0.16/0.38 TRYING [3]
% 0.16/0.38 % (6202)Also succeeded, but the first one will report.
% 0.16/0.38 % (6204)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-6197"
% 0.16/0.38 % (6204)Refutation found. Thanks to Tanya!
% 0.16/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.38 % (6204)------------------------------
% 0.16/0.38 % (6204)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.38 % (6204)Termination reason: Refutation
% 0.16/0.38
% 0.16/0.38 % (6204)Memory used [KB]: 842
% 0.16/0.38 % (6204)Time elapsed: 0.008 s
% 0.16/0.38 % (6204)Instructions burned: 11 (million)
% 0.16/0.38 % (6197)Success in time 0.014 s
%------------------------------------------------------------------------------