%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : MGT037+1 : TPTP v9.3.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 8 06:19:22 AM UTC 2026
% Result : Theorem 5.59s 1.14s
% Output : Proof 5.59s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
environment(sK2),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t6)]) ).
cnf(g1,plain,
in_environment(sK2,sK3),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t6)]) ).
cnf(g2,plain,
greater_or_equal(sK3,appear(efficient_producers,sK2)),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t6)]) ).
cnf(g3,plain,
~ greater(cardinality_at_time(efficient_producers,sK3),zero),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t6)]) ).
cnf(g4,plain,
( ~ environment(sK2)
| ~ in_environment(sK2,sK3)
| sPE(cardinality_at_time(efficient_producers,sK3),zero)
| greater(cardinality_at_time(efficient_producers,sK3),zero) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_efficient_producers_exist)]) ).
cnf(g5,plain,
( ~ sPE(cardinality_at_time(efficient_producers,sK3),zero)
| ~ environment(sK2)
| ~ greater_or_equal(sK3,appear(efficient_producers,sK2))
| in_environment(sK2,sK0(sK2,sK3)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_previous_negative_growth)]) ).
cnf(g6,plain,
( ~ sPE(cardinality_at_time(efficient_producers,sK3),zero)
| ~ environment(sK2)
| ~ greater_or_equal(sK3,appear(efficient_producers,sK2))
| greater(zero,growth_rate(efficient_producers,sK0(sK2,sK3))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_previous_negative_growth)]) ).
cnf(g7,plain,
( ~ sPE(cardinality_at_time(efficient_producers,sK0(sK2,sK3)),zero)
| ~ greater(zero,growth_rate(efficient_producers,sK0(sK2,sK3))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_empty_not_decreasing)]) ).
cnf(g8,plain,
( ~ environment(sK2)
| ~ greater(number_of_organizations(sK2,sK0(sK2,sK3)),zero)
| ~ in_environment(sK2,sK0(sK2,sK3))
| greater(equilibrium(sK2),sK0(sK2,sK3))
| constant(resources(sK2,sK0(sK2,sK3))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a3)]) ).
cnf(g9,plain,
( ~ environment(sK2)
| ~ greater(zero,growth_rate(sK1(sK2,sK0(sK2,sK3)),sK0(sK2,sK3)))
| ~ in_environment(sK2,sK0(sK2,sK3))
| decreases(number_of_organizations(sK2,sK0(sK2,sK3))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_non_decreasing)]) ).
cnf(g10,plain,
( ~ environment(sK2)
| ~ greater_or_equal(sK0(sK2,sK3),appear(an_organisation,sK2))
| ~ in_environment(sK2,sK0(sK2,sK3))
| greater(number_of_organizations(sK2,sK0(sK2,sK3)),zero) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1)]) ).
cnf(g11,plain,
( ~ environment(sK2)
| ~ greater(appear(an_organisation,sK2),sK0(sK2,sK3))
| ~ in_environment(sK2,sK0(sK2,sK3))
| sPE(number_of_organizations(sK2,sK0(sK2,sK3)),zero) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_start_of_organizations)]) ).
cnf(g12,plain,
( ~ environment(sK2)
| ~ in_environment(sK2,sK0(sK2,sK3))
| ~ constant(resources(sK2,sK0(sK2,sK3)))
| constant(number_of_organizations(sK2,sK0(sK2,sK3))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a6)]) ).
cnf(g13,plain,
( ~ environment(sK2)
| ~ in_environment(sK2,sK0(sK2,sK3))
| greater_or_equal(sK0(sK2,sK3),appear(an_organisation,sK2))
| greater(appear(an_organisation,sK2),sK0(sK2,sK3)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_environment_inequality)]) ).
cnf(g14,plain,
( ~ environment(sK2)
| ~ in_environment(sK2,sK0(sK2,sK3))
| decreases(number_of_organizations(sK2,sK0(sK2,sK3)))
| subpopulation(sK1(sK2,sK0(sK2,sK3)),sK2,sK0(sK2,sK3)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_non_decreasing)]) ).
cnf(g15,plain,
( ~ environment(sK2)
| ~ in_environment(sK2,sK0(sK2,sK3))
| subpopulation(efficient_producers,sK2,sK0(sK2,sK3)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_subpopulations)]) ).
cnf(g16,plain,
( ~ environment(sK2)
| ~ greater(number_of_organizations(sK2,sK0(sK2,sK3)),zero)
| ~ greater(equilibrium(sK2),sK0(sK2,sK3))
| ~ in_environment(sK2,sK0(sK2,sK3))
| decreases(resources(sK2,sK0(sK2,sK3))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a3)]) ).
cnf(g17,plain,
( ~ environment(sK2)
| ~ in_environment(sK2,sK0(sK2,sK3))
| ~ decreases(number_of_organizations(sK2,sK0(sK2,sK3)))
| ~ decreases(resources(sK2,sK0(sK2,sK3))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a6)]) ).
cnf(g18,plain,
( ~ environment(sK2)
| ~ in_environment(sK2,sK0(sK2,sK3))
| greater(cardinality_at_time(sK1(sK2,sK0(sK2,sK3)),sK0(sK2,sK3)),zero)
| decreases(number_of_organizations(sK2,sK0(sK2,sK3))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_non_decreasing)]) ).
cnf(g19,plain,
sPE(zero,zero),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g20,plain,
greater(resilience(efficient_producers),resilience(first_movers)),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2)]) ).
cnf(g21,plain,
( ~ sPE(number_of_organizations(sK2,sK0(sK2,sK3)),zero)
| ~ environment(sK2)
| ~ in_environment(sK2,sK0(sK2,sK3))
| ~ subpopulation(efficient_producers,sK2,sK0(sK2,sK3))
| sPE(cardinality_at_time(efficient_producers,sK0(sK2,sK3)),zero) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_no_members)]) ).
cnf(g22,plain,
sPE(sK0(sK2,sK3),sK0(sK2,sK3)),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g23,plain,
( ~ decreases(number_of_organizations(sK2,sK0(sK2,sK3)))
| ~ constant(number_of_organizations(sK2,sK0(sK2,sK3))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_constant_not_decrease)]) ).
cnf(g24,plain,
( ~ environment(sK2)
| ~ greater(cardinality_at_time(sK1(sK2,sK0(sK2,sK3)),sK0(sK2,sK3)),zero)
| ~ subpopulation(sK1(sK2,sK0(sK2,sK3)),sK2,sK0(sK2,sK3))
| sPE(sK1(sK2,sK0(sK2,sK3)),efficient_producers)
| sPE(sK1(sK2,sK0(sK2,sK3)),first_movers) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a9)]) ).
cnf(g25,plain,
sPE(resilience(efficient_producers),resilience(efficient_producers)),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g26,plain,
( ~ sPE(sK1(sK2,sK0(sK2,sK3)),first_movers)
| sPE(resilience(sK1(sK2,sK0(sK2,sK3))),resilience(first_movers)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g27,plain,
( ~ environment(sK2)
| ~ greater(zero,growth_rate(efficient_producers,sK0(sK2,sK3)))
| ~ greater(resilience(efficient_producers),resilience(sK1(sK2,sK0(sK2,sK3))))
| ~ in_environment(sK2,sK0(sK2,sK3))
| greater(zero,growth_rate(sK1(sK2,sK0(sK2,sK3)),sK0(sK2,sK3))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a12)]) ).
cnf(g28,plain,
( ~ sPE(resilience(efficient_producers),resilience(efficient_producers))
| ~ sPE(resilience(first_movers),resilience(sK1(sK2,sK0(sK2,sK3))))
| ~ greater(resilience(efficient_producers),resilience(first_movers))
| greater(resilience(efficient_producers),resilience(sK1(sK2,sK0(sK2,sK3)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g29,plain,
( ~ sPE(resilience(sK1(sK2,sK0(sK2,sK3))),resilience(first_movers))
| sPE(resilience(first_movers),resilience(sK1(sK2,sK0(sK2,sK3)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g30,plain,
( ~ sPE(sK1(sK2,sK0(sK2,sK3)),efficient_producers)
| sPE(efficient_producers,sK1(sK2,sK0(sK2,sK3))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g31,plain,
( ~ sPE(zero,zero)
| ~ sPE(growth_rate(efficient_producers,sK0(sK2,sK3)),growth_rate(sK1(sK2,sK0(sK2,sK3)),sK0(sK2,sK3)))
| ~ greater(zero,growth_rate(efficient_producers,sK0(sK2,sK3)))
| greater(zero,growth_rate(sK1(sK2,sK0(sK2,sK3)),sK0(sK2,sK3))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g32,plain,
( ~ sPE(efficient_producers,sK1(sK2,sK0(sK2,sK3)))
| ~ sPE(sK0(sK2,sK3),sK0(sK2,sK3))
| sPE(growth_rate(efficient_producers,sK0(sK2,sK3)),growth_rate(sK1(sK2,sK0(sK2,sK3)),sK0(sK2,sK3))) ),
inference(ground_cnf,[],[theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT037+1 : TPTP v9.3.0. Released v2.0.0.
% 0.00/0.04 % Command : satcop --statistics %s
% 0.09/0.35 % Computer : n013.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 7 12:42:35 UTC 2026
% 0.09/0.35 % CPUTime :
% 5.59/1.14 % symbols: 24
% 5.59/1.14 % clauses: 46
% 5.59/1.14 % start clauses: 4
% 5.59/1.14 % iterative deepening steps: 506
% 5.59/1.14 % maximum path limit: 4
% 5.59/1.14 % literal attempts: 1859012
% 5.59/1.14 % depth failures: 1628447
% 5.59/1.14 % regularity failures: 7079
% 5.59/1.14 % tautology failures: 44067
% 5.59/1.14 % reductions: 11004
% 5.59/1.14 % extensions: 1846213
% 5.59/1.14 % SAT variables: 122387
% 5.59/1.14 % SAT clauses: 112176
% 5.59/1.14 % WalkSAT solutions: 112172
% 5.59/1.14 % CDCL solutions: 0
% 5.59/1.14 % SZS status Theorem for theBenchmark
% 5.59/1.14 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------