%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : MGT025-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 : Thu Sep 24 01:27:13 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.42s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 22
% Syntax : Number of clauses : 115 ( 18 unt; 40 nHn; 115 RR)
% Number of literals : 363 ( 41 equ; 193 neg)
% Maximal clause size : 6 ( 3 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 : 150 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(mp_only_members_29,axiom,
( X2 != first_movers
| ~ subpopulation(X2,X1,X3)
| ~ environment(X1)
| number_of_organizations(X1,X3) = sum(cardinality_at_time(first_movers,X3),cardinality_at_time(efficient_producers,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_only_members_29) ).
cnf(mp_time_point_occur_45,axiom,
( ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ environment(X1)
| in_environment(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_time_point_occur_45) ).
cnf(mp_subpopulations_30,axiom,
( ~ in_environment(X1,X2)
| ~ environment(X1)
| subpopulation(first_movers,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_subpopulations_30) ).
cnf(prove_l7_48,negated_conjecture,
subpopulations(first_movers,efficient_producers,sk1,sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l7_48) ).
cnf(prove_l7_47,negated_conjecture,
environment(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l7_47) ).
cnf(mp_non_zero_producers_43,axiom,
( ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ environment(X1)
| greater(cardinality_at_time(first_movers,X2),zero) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_non_zero_producers_43) ).
cnf(mp_subpopulations_31,axiom,
( ~ in_environment(X1,X2)
| ~ environment(X1)
| subpopulation(efficient_producers,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_subpopulations_31) ).
cnf(mp_non_zero_producers_44,axiom,
( ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ environment(X1)
| greater(cardinality_at_time(efficient_producers,X2),zero) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_non_zero_producers_44) ).
cnf(mp_growth_rate_40,axiom,
( ~ constant(cardinality_at_time(X3,X2))
| ~ greater(cardinality_at_time(X3,X2),zero)
| ~ subpopulation(X3,X1,X2)
| ~ in_environment(X1,X2)
| ~ environment(X1)
| growth_rate(X3,X2) = zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_growth_rate_40) ).
cnf(prove_l7_49,negated_conjecture,
constant(number_of_organizations(sk1,sk2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l7_49) ).
cnf(mp_growth_rate_41,axiom,
( ~ increases(cardinality_at_time(X3,X2))
| ~ greater(cardinality_at_time(X3,X2),zero)
| ~ subpopulation(X3,X1,X2)
| ~ in_environment(X1,X2)
| ~ environment(X1)
| greater(growth_rate(X3,X2),zero) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_growth_rate_41) ).
cnf(prove_l7_51,negated_conjecture,
( ~ greater(zero,growth_rate(efficient_producers,sk2))
| ~ greater(growth_rate(first_movers,sk2),zero) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l7_51) ).
cnf(mp_growth_rate_42,axiom,
( ~ decreases(cardinality_at_time(X3,X2))
| ~ greater(cardinality_at_time(X3,X2),zero)
| ~ subpopulation(X3,X1,X2)
| ~ in_environment(X1,X2)
| ~ environment(X1)
| greater(zero,growth_rate(X3,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_growth_rate_42) ).
cnf(mp_abc_sum_increase_39,axiom,
( ~ constant(X1)
| X1 != sum(X2,X3)
| increases(X3)
| decreases(X3)
| constant(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_abc_sum_increase_39) ).
cnf(prove_l7_50,negated_conjecture,
( growth_rate(efficient_producers,sk2) != zero
| growth_rate(first_movers,sk2) != zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l7_50) ).
cnf(prove_l7_52,negated_conjecture,
( ~ greater(zero,growth_rate(first_movers,sk2))
| ~ greater(growth_rate(efficient_producers,sk2),zero) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l7_52) ).
cnf(mp_abc_sum_increase_36,axiom,
( ~ constant(X1)
| X1 != sum(X2,X3)
| decreases(X2)
| increases(X2)
| constant(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_abc_sum_increase_36) ).
cnf(mp_abc_sum_increase_37,axiom,
( ~ constant(X1)
| X1 != sum(X2,X3)
| increases(X3)
| increases(X2)
| constant(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_abc_sum_increase_37) ).
cnf(mp_abc_sum_increase_32,axiom,
( ~ constant(X1)
| X1 != sum(X2,X3)
| decreases(X2)
| increases(X2)
| constant(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_abc_sum_increase_32) ).
cnf(mp_abc_sum_increase_33,axiom,
( ~ constant(X1)
| X1 != sum(X2,X3)
| increases(X3)
| increases(X2)
| constant(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_abc_sum_increase_33) ).
cnf(mp_abc_sum_increase_35,axiom,
( ~ constant(X1)
| X1 != sum(X2,X3)
| increases(X3)
| decreases(X3)
| constant(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_abc_sum_increase_35) ).
cnf(mp_abc_sum_increase_34,axiom,
( ~ constant(X1)
| X1 != sum(X2,X3)
| decreases(X2)
| decreases(X3)
| constant(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_abc_sum_increase_34) ).
cnf(c_0_22,plain,
( X2 != first_movers
| ~ subpopulation(X2,X1,X3)
| ~ environment(X1)
| number_of_organizations(X1,X3) = sum(cardinality_at_time(first_movers,X3),cardinality_at_time(efficient_producers,X3)) ),
inference(fof_simplification,[status(thm)],[mp_only_members_29]) ).
cnf(c_0_23,plain,
( ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ environment(X1)
| in_environment(X1,X2) ),
inference(fof_simplification,[status(thm)],[mp_time_point_occur_45]) ).
cnf(c_0_24,plain,
( X2 != first_movers
| ~ subpopulation(X2,X1,X3)
| ~ environment(X1)
| number_of_organizations(X1,X3) = sum(cardinality_at_time(first_movers,X3),cardinality_at_time(efficient_producers,X3)) ),
c_0_22 ).
cnf(c_0_25,plain,
( ~ in_environment(X1,X2)
| ~ environment(X1)
| subpopulation(first_movers,X1,X2) ),
inference(fof_simplification,[status(thm)],[mp_subpopulations_30]) ).
cnf(c_0_26,plain,
( ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ environment(X1)
| in_environment(X1,X2) ),
c_0_23 ).
cnf(c_0_27,negated_conjecture,
subpopulations(first_movers,efficient_producers,sk1,sk2),
prove_l7_48 ).
cnf(c_0_28,negated_conjecture,
environment(sk1),
prove_l7_47 ).
cnf(c_0_29,plain,
( ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ environment(X1)
| greater(cardinality_at_time(first_movers,X2),zero) ),
inference(fof_simplification,[status(thm)],[mp_non_zero_producers_43]) ).
cnf(c_0_30,plain,
( ~ environment(X1)
| ~ subpopulation(first_movers,X1,X2)
| number_of_organizations(X1,X2) = sum(cardinality_at_time(first_movers,X2),cardinality_at_time(efficient_producers,X2)) ),
inference(er,[status(thm)],[c_0_24]) ).
cnf(c_0_31,plain,
( ~ in_environment(X1,X2)
| ~ environment(X1)
| subpopulation(first_movers,X1,X2) ),
c_0_25 ).
cnf(c_0_32,negated_conjecture,
in_environment(sk1,sk2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28])]) ).
cnf(c_0_33,plain,
( ~ in_environment(X1,X2)
| ~ environment(X1)
| subpopulation(efficient_producers,X1,X2) ),
inference(fof_simplification,[status(thm)],[mp_subpopulations_31]) ).
cnf(c_0_34,plain,
( ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ environment(X1)
| greater(cardinality_at_time(efficient_producers,X2),zero) ),
inference(fof_simplification,[status(thm)],[mp_non_zero_producers_44]) ).
cnf(c_0_35,plain,
( ~ constant(cardinality_at_time(X3,X2))
| ~ greater(cardinality_at_time(X3,X2),zero)
| ~ subpopulation(X3,X1,X2)
| ~ in_environment(X1,X2)
| ~ environment(X1)
| growth_rate(X3,X2) = zero ),
inference(fof_simplification,[status(thm)],[mp_growth_rate_40]) ).
cnf(c_0_36,plain,
( ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ environment(X1)
| greater(cardinality_at_time(first_movers,X2),zero) ),
c_0_29 ).
cnf(c_0_37,negated_conjecture,
constant(number_of_organizations(sk1,sk2)),
prove_l7_49 ).
cnf(c_0_38,plain,
( ~ environment(X3)
| ~ environment(X1)
| ~ subpopulation(first_movers,X3,X2)
| ~ subpopulation(first_movers,X1,X2)
| number_of_organizations(X1,X2) = number_of_organizations(X3,X2) ),
inference(spm,[status(thm)],[c_0_30,c_0_30]) ).
cnf(c_0_39,negated_conjecture,
subpopulation(first_movers,sk1,sk2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_28])]) ).
cnf(c_0_40,plain,
( ~ in_environment(X1,X2)
| ~ environment(X1)
| subpopulation(efficient_producers,X1,X2) ),
c_0_33 ).
cnf(c_0_41,plain,
( ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ environment(X1)
| greater(cardinality_at_time(efficient_producers,X2),zero) ),
c_0_34 ).
cnf(c_0_42,plain,
( ~ increases(cardinality_at_time(X3,X2))
| ~ greater(cardinality_at_time(X3,X2),zero)
| ~ subpopulation(X3,X1,X2)
| ~ in_environment(X1,X2)
| ~ environment(X1)
| greater(growth_rate(X3,X2),zero) ),
inference(fof_simplification,[status(thm)],[mp_growth_rate_41]) ).
cnf(c_0_43,negated_conjecture,
( ~ greater(zero,growth_rate(efficient_producers,sk2))
| ~ greater(growth_rate(first_movers,sk2),zero) ),
inference(fof_simplification,[status(thm)],[prove_l7_51]) ).
cnf(c_0_44,plain,
( ~ constant(cardinality_at_time(X3,X2))
| ~ greater(cardinality_at_time(X3,X2),zero)
| ~ subpopulation(X3,X1,X2)
| ~ in_environment(X1,X2)
| ~ environment(X1)
| growth_rate(X3,X2) = zero ),
c_0_35 ).
cnf(c_0_45,negated_conjecture,
greater(cardinality_at_time(first_movers,sk2),zero),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_27]),c_0_28])]) ).
cnf(c_0_46,plain,
( ~ decreases(cardinality_at_time(X3,X2))
| ~ greater(cardinality_at_time(X3,X2),zero)
| ~ subpopulation(X3,X1,X2)
| ~ in_environment(X1,X2)
| ~ environment(X1)
| greater(zero,growth_rate(X3,X2)) ),
inference(fof_simplification,[status(thm)],[mp_growth_rate_42]) ).
cnf(c_0_47,plain,
( ~ constant(X1)
| X1 != sum(X2,X3)
| increases(X3)
| decreases(X3)
| constant(X3) ),
inference(fof_simplification,[status(thm)],[mp_abc_sum_increase_39]) ).
cnf(c_0_48,negated_conjecture,
( ~ environment(X1)
| ~ subpopulation(first_movers,X1,sk2)
| constant(number_of_organizations(X1,sk2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]),c_0_28])]) ).
cnf(c_0_49,negated_conjecture,
( growth_rate(efficient_producers,sk2) != zero
| growth_rate(first_movers,sk2) != zero ),
inference(fof_simplification,[status(thm)],[prove_l7_50]) ).
cnf(c_0_50,negated_conjecture,
subpopulation(efficient_producers,sk1,sk2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_32]),c_0_28])]) ).
cnf(c_0_51,negated_conjecture,
greater(cardinality_at_time(efficient_producers,sk2),zero),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_27]),c_0_28])]) ).
cnf(c_0_52,negated_conjecture,
( ~ greater(zero,growth_rate(first_movers,sk2))
| ~ greater(growth_rate(efficient_producers,sk2),zero) ),
inference(fof_simplification,[status(thm)],[prove_l7_52]) ).
cnf(c_0_53,plain,
( ~ increases(cardinality_at_time(X3,X2))
| ~ greater(cardinality_at_time(X3,X2),zero)
| ~ subpopulation(X3,X1,X2)
| ~ in_environment(X1,X2)
| ~ environment(X1)
| greater(growth_rate(X3,X2),zero) ),
c_0_42 ).
cnf(c_0_54,plain,
( ~ constant(X1)
| X1 != sum(X2,X3)
| decreases(X2)
| increases(X2)
| constant(X3) ),
inference(fof_simplification,[status(thm)],[mp_abc_sum_increase_36]) ).
cnf(c_0_55,plain,
( ~ constant(X1)
| X1 != sum(X2,X3)
| increases(X3)
| increases(X2)
| constant(X3) ),
inference(fof_simplification,[status(thm)],[mp_abc_sum_increase_37]) ).
cnf(c_0_56,negated_conjecture,
( ~ greater(zero,growth_rate(efficient_producers,sk2))
| ~ greater(growth_rate(first_movers,sk2),zero) ),
c_0_43 ).
cnf(c_0_57,negated_conjecture,
( ~ constant(cardinality_at_time(first_movers,sk2))
| growth_rate(first_movers,sk2) = zero ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_39]),c_0_32]),c_0_45]),c_0_28])]) ).
cnf(c_0_58,plain,
( ~ decreases(cardinality_at_time(X3,X2))
| ~ greater(cardinality_at_time(X3,X2),zero)
| ~ subpopulation(X3,X1,X2)
| ~ in_environment(X1,X2)
| ~ environment(X1)
| greater(zero,growth_rate(X3,X2)) ),
c_0_46 ).
cnf(c_0_59,plain,
( ~ constant(X1)
| X1 != sum(X2,X3)
| increases(X3)
| decreases(X3)
| constant(X3) ),
c_0_47 ).
cnf(c_0_60,negated_conjecture,
( ~ environment(X1)
| ~ subpopulation(first_movers,X1,sk2)
| constant(sum(cardinality_at_time(first_movers,sk2),cardinality_at_time(efficient_producers,sk2))) ),
inference(spm,[status(thm)],[c_0_48,c_0_30]) ).
cnf(c_0_61,negated_conjecture,
( growth_rate(efficient_producers,sk2) != zero
| growth_rate(first_movers,sk2) != zero ),
c_0_49 ).
cnf(c_0_62,negated_conjecture,
( ~ constant(cardinality_at_time(efficient_producers,sk2))
| growth_rate(efficient_producers,sk2) = zero ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_50]),c_0_32]),c_0_51]),c_0_28])]) ).
cnf(c_0_63,negated_conjecture,
( ~ greater(zero,growth_rate(first_movers,sk2))
| ~ greater(growth_rate(efficient_producers,sk2),zero) ),
c_0_52 ).
cnf(c_0_64,negated_conjecture,
( ~ increases(cardinality_at_time(efficient_producers,sk2))
| greater(growth_rate(efficient_producers,sk2),zero) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_50]),c_0_32]),c_0_51]),c_0_28])]) ).
cnf(c_0_65,plain,
( ~ constant(X1)
| X1 != sum(X2,X3)
| decreases(X2)
| increases(X2)
| constant(X3) ),
c_0_54 ).
cnf(c_0_66,plain,
( ~ constant(X1)
| X1 != sum(X2,X3)
| increases(X3)
| increases(X2)
| constant(X3) ),
c_0_55 ).
cnf(c_0_67,negated_conjecture,
( ~ greater(zero,zero)
| ~ greater(zero,growth_rate(efficient_producers,sk2))
| ~ constant(cardinality_at_time(first_movers,sk2)) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_68,negated_conjecture,
( ~ decreases(cardinality_at_time(efficient_producers,sk2))
| greater(zero,growth_rate(efficient_producers,sk2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_50]),c_0_32]),c_0_51]),c_0_28])]) ).
cnf(c_0_69,plain,
( ~ constant(sum(X2,X1))
| constant(X1)
| increases(X1)
| decreases(X1) ),
inference(er,[status(thm)],[c_0_59]) ).
cnf(c_0_70,negated_conjecture,
constant(sum(cardinality_at_time(first_movers,sk2),cardinality_at_time(efficient_producers,sk2))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_39]),c_0_28])]) ).
cnf(c_0_71,negated_conjecture,
( ~ constant(cardinality_at_time(efficient_producers,sk2))
| growth_rate(first_movers,sk2) != zero ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_72,plain,
( ~ constant(X1)
| X1 != sum(X2,X3)
| decreases(X2)
| increases(X2)
| constant(X2) ),
inference(fof_simplification,[status(thm)],[mp_abc_sum_increase_32]) ).
cnf(c_0_73,negated_conjecture,
( ~ greater(zero,growth_rate(first_movers,sk2))
| ~ increases(cardinality_at_time(efficient_producers,sk2)) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_74,negated_conjecture,
( ~ decreases(cardinality_at_time(first_movers,sk2))
| greater(zero,growth_rate(first_movers,sk2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_39]),c_0_32]),c_0_45]),c_0_28])]) ).
cnf(c_0_75,plain,
( ~ constant(sum(X1,X2))
| constant(X2)
| increases(X1)
| decreases(X1) ),
inference(er,[status(thm)],[c_0_65]) ).
cnf(c_0_76,plain,
( ~ constant(sum(X2,X1))
| constant(X1)
| increases(X2)
| increases(X1) ),
inference(er,[status(thm)],[c_0_66]) ).
cnf(c_0_77,negated_conjecture,
( ~ greater(zero,zero)
| ~ constant(cardinality_at_time(first_movers,sk2))
| ~ decreases(cardinality_at_time(efficient_producers,sk2)) ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_78,negated_conjecture,
( constant(cardinality_at_time(efficient_producers,sk2))
| increases(cardinality_at_time(efficient_producers,sk2))
| decreases(cardinality_at_time(efficient_producers,sk2)) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_79,negated_conjecture,
( ~ constant(cardinality_at_time(first_movers,sk2))
| ~ constant(cardinality_at_time(efficient_producers,sk2)) ),
inference(spm,[status(thm)],[c_0_71,c_0_57]) ).
cnf(c_0_80,plain,
( ~ constant(X1)
| X1 != sum(X2,X3)
| increases(X3)
| increases(X2)
| constant(X2) ),
inference(fof_simplification,[status(thm)],[mp_abc_sum_increase_33]) ).
cnf(c_0_81,plain,
( ~ constant(X1)
| X1 != sum(X2,X3)
| decreases(X2)
| increases(X2)
| constant(X2) ),
c_0_72 ).
cnf(c_0_82,negated_conjecture,
( ~ increases(cardinality_at_time(first_movers,sk2))
| greater(growth_rate(first_movers,sk2),zero) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_39]),c_0_32]),c_0_45]),c_0_28])]) ).
cnf(c_0_83,negated_conjecture,
( ~ increases(cardinality_at_time(efficient_producers,sk2))
| ~ decreases(cardinality_at_time(first_movers,sk2)) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_84,negated_conjecture,
( constant(cardinality_at_time(efficient_producers,sk2))
| increases(cardinality_at_time(first_movers,sk2))
| decreases(cardinality_at_time(first_movers,sk2)) ),
inference(spm,[status(thm)],[c_0_75,c_0_70]) ).
cnf(c_0_85,negated_conjecture,
( constant(cardinality_at_time(efficient_producers,sk2))
| increases(cardinality_at_time(efficient_producers,sk2))
| increases(cardinality_at_time(first_movers,sk2)) ),
inference(spm,[status(thm)],[c_0_76,c_0_70]) ).
cnf(c_0_86,negated_conjecture,
( ~ greater(zero,zero)
| ~ constant(cardinality_at_time(first_movers,sk2))
| increases(cardinality_at_time(efficient_producers,sk2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_79]) ).
cnf(c_0_87,plain,
( ~ constant(X1)
| X1 != sum(X2,X3)
| increases(X3)
| increases(X2)
| constant(X2) ),
c_0_80 ).
cnf(c_0_88,plain,
( ~ constant(X1)
| X1 != sum(X2,X3)
| increases(X3)
| decreases(X3)
| constant(X2) ),
inference(fof_simplification,[status(thm)],[mp_abc_sum_increase_35]) ).
cnf(c_0_89,plain,
( ~ constant(sum(X1,X2))
| constant(X1)
| increases(X1)
| decreases(X1) ),
inference(er,[status(thm)],[c_0_81]) ).
cnf(c_0_90,negated_conjecture,
( ~ constant(cardinality_at_time(first_movers,sk2))
| ~ increases(cardinality_at_time(first_movers,sk2))
| greater(zero,zero) ),
inference(spm,[status(thm)],[c_0_82,c_0_57]) ).
cnf(c_0_91,negated_conjecture,
( constant(cardinality_at_time(efficient_producers,sk2))
| increases(cardinality_at_time(first_movers,sk2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_85]) ).
cnf(c_0_92,negated_conjecture,
( ~ greater(zero,zero)
| ~ constant(cardinality_at_time(first_movers,sk2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_57]),c_0_86]) ).
cnf(c_0_93,plain,
( ~ constant(sum(X2,X1))
| constant(X2)
| increases(X2)
| increases(X1) ),
inference(er,[status(thm)],[c_0_87]) ).
cnf(c_0_94,plain,
( ~ constant(X1)
| X1 != sum(X2,X3)
| decreases(X2)
| decreases(X3)
| constant(X2) ),
inference(fof_simplification,[status(thm)],[mp_abc_sum_increase_34]) ).
cnf(c_0_95,plain,
( ~ constant(X1)
| X1 != sum(X2,X3)
| increases(X3)
| decreases(X3)
| constant(X2) ),
c_0_88 ).
cnf(c_0_96,negated_conjecture,
( constant(cardinality_at_time(first_movers,sk2))
| increases(cardinality_at_time(first_movers,sk2))
| decreases(cardinality_at_time(first_movers,sk2)) ),
inference(spm,[status(thm)],[c_0_89,c_0_70]) ).
cnf(c_0_97,negated_conjecture,
~ constant(cardinality_at_time(first_movers,sk2)),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_92]),c_0_79]) ).
cnf(c_0_98,negated_conjecture,
( constant(cardinality_at_time(first_movers,sk2))
| increases(cardinality_at_time(efficient_producers,sk2))
| increases(cardinality_at_time(first_movers,sk2)) ),
inference(spm,[status(thm)],[c_0_93,c_0_70]) ).
cnf(c_0_99,plain,
( ~ constant(X1)
| X1 != sum(X2,X3)
| decreases(X2)
| decreases(X3)
| constant(X2) ),
c_0_94 ).
cnf(c_0_100,plain,
( ~ constant(sum(X2,X1))
| constant(X2)
| increases(X1)
| decreases(X1) ),
inference(er,[status(thm)],[c_0_95]) ).
cnf(c_0_101,negated_conjecture,
( ~ greater(zero,growth_rate(efficient_producers,sk2))
| ~ increases(cardinality_at_time(first_movers,sk2)) ),
inference(spm,[status(thm)],[c_0_56,c_0_82]) ).
cnf(c_0_102,negated_conjecture,
( increases(cardinality_at_time(first_movers,sk2))
| decreases(cardinality_at_time(first_movers,sk2)) ),
inference(sr,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_103,negated_conjecture,
( increases(cardinality_at_time(first_movers,sk2))
| increases(cardinality_at_time(efficient_producers,sk2)) ),
inference(sr,[status(thm)],[c_0_98,c_0_97]) ).
cnf(c_0_104,plain,
( ~ constant(sum(X2,X1))
| constant(X2)
| decreases(X2)
| decreases(X1) ),
inference(er,[status(thm)],[c_0_99]) ).
cnf(c_0_105,negated_conjecture,
( constant(cardinality_at_time(first_movers,sk2))
| increases(cardinality_at_time(efficient_producers,sk2))
| decreases(cardinality_at_time(efficient_producers,sk2)) ),
inference(spm,[status(thm)],[c_0_100,c_0_70]) ).
cnf(c_0_106,negated_conjecture,
( ~ increases(cardinality_at_time(first_movers,sk2))
| ~ decreases(cardinality_at_time(efficient_producers,sk2)) ),
inference(spm,[status(thm)],[c_0_101,c_0_68]) ).
cnf(c_0_107,negated_conjecture,
increases(cardinality_at_time(first_movers,sk2)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_102]),c_0_103]) ).
cnf(c_0_108,negated_conjecture,
( constant(cardinality_at_time(first_movers,sk2))
| decreases(cardinality_at_time(efficient_producers,sk2))
| decreases(cardinality_at_time(first_movers,sk2)) ),
inference(spm,[status(thm)],[c_0_104,c_0_70]) ).
cnf(c_0_109,negated_conjecture,
( increases(cardinality_at_time(efficient_producers,sk2))
| decreases(cardinality_at_time(efficient_producers,sk2)) ),
inference(sr,[status(thm)],[c_0_105,c_0_97]) ).
cnf(c_0_110,negated_conjecture,
~ decreases(cardinality_at_time(efficient_producers,sk2)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_106,c_0_107])]) ).
cnf(c_0_111,negated_conjecture,
( decreases(cardinality_at_time(first_movers,sk2))
| decreases(cardinality_at_time(efficient_producers,sk2)) ),
inference(sr,[status(thm)],[c_0_108,c_0_97]) ).
cnf(c_0_112,negated_conjecture,
increases(cardinality_at_time(efficient_producers,sk2)),
inference(sr,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_113,negated_conjecture,
decreases(cardinality_at_time(first_movers,sk2)),
inference(sr,[status(thm)],[c_0_111,c_0_110]) ).
cnf(c_0_114,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_83,c_0_112])]),c_0_113])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT025-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n003.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 01:23:15 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.42 % Version: 3.5.1
% 0.13/0.42 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.13/0.42 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.42 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.13/0.42 % Starting new_bool_3 with 300s (1) cores
% 0.13/0.42 % Starting new_bool_1 with 300s (1) cores
% 0.13/0.42 % Starting sh5l with 300s (1) cores
% 0.13/0.42 % new_bool_3 with pid 3092221 completed with status 0
% 0.13/0.42 % Result found by new_bool_3
% 0.13/0.42 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.13/0.42 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.42 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.13/0.42 % Starting new_bool_3 with 300s (1) cores
% 0.13/0.42 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.13/0.42 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.13/0.42 % Search class: FGHSF-FFMS22-SFFFFFNN
% 0.13/0.42 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.13/0.42 % Starting SubtermCWHack with 31s (1) cores
% 0.13/0.42 % SubtermCWHack with pid 3092227 completed with status 0
% 0.13/0.42 % Result found by SubtermCWHack
% 0.13/0.42 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.13/0.42 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.42 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.13/0.42 % Starting new_bool_3 with 300s (1) cores
% 0.13/0.42 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.13/0.42 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.13/0.42 % Search class: FGHSF-FFMS22-SFFFFFNN
% 0.13/0.42 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.13/0.42 % Starting SubtermCWHack with 31s (1) cores
% 0.13/0.42 % Preprocessing time : 0.001 s
% 0.13/0.42
% 0.13/0.42 % Proof found!
% 0.13/0.42 % SZS status Unsatisfiable
% 0.13/0.42 % SZS output start CNFRefutation
% See solution above
% 0.13/0.42 % Parsed axioms : 26
% 0.13/0.42 % Removed by relevancy pruning/SinE : 0
% 0.13/0.42 % Initial clauses : 26
% 0.13/0.42 % Removed in clause preprocessing : 0
% 0.13/0.42 % Initial clauses in saturation : 26
% 0.13/0.42 % Processed clauses : 113
% 0.13/0.42 % ...of these trivial : 0
% 0.13/0.42 % ...subsumed : 18
% 0.13/0.42 % ...remaining for further processing : 94
% 0.13/0.42 % Other redundant clauses eliminated : 10
% 0.13/0.42 % Clauses deleted for lack of memory : 0
% 0.13/0.42 % Backward-subsumed : 22
% 0.13/0.42 % Backward-rewritten : 11
% 0.13/0.42 % Generated clauses : 185
% 0.13/0.42 % ...of the previous two non-redundant : 177
% 0.13/0.42 % ...aggressively subsumed : 0
% 0.13/0.42 % Contextual simplify-reflections : 10
% 0.13/0.42 % Paramodulations : 169
% 0.13/0.42 % Factorizations : 0
% 0.13/0.42 % NegExts : 0
% 0.13/0.42 % Equation resolutions : 10
% 0.13/0.42 % Disequality decompositions : 0
% 0.13/0.42 % Total rewrite steps : 62
% 0.13/0.42 % ...of those cached : 52
% 0.13/0.42 % Propositional unsat checks : 0
% 0.13/0.42 % Propositional check models : 0
% 0.13/0.42 % Propositional check unsatisfiable : 0
% 0.13/0.42 % Propositional clauses : 0
% 0.13/0.42 % Propositional clauses after purity: 0
% 0.13/0.42 % Propositional unsat core size : 0
% 0.13/0.42 % Propositional preprocessing time : 0.000
% 0.13/0.42 % Propositional encoding time : 0.000
% 0.13/0.42 % Propositional solver time : 0.000
% 0.13/0.42 % Success case prop preproc time : 0.000
% 0.13/0.42 % Success case prop encoding time : 0.000
% 0.13/0.42 % Success case prop solver time : 0.000
% 0.13/0.42 % Current number of processed clauses : 45
% 0.13/0.42 % Positive orientable unit clauses : 12
% 0.13/0.42 % Positive unorientable unit clauses: 0
% 0.13/0.42 % Negative unit clauses : 3
% 0.13/0.42 % Non-unit-clauses : 30
% 0.13/0.42 % Current number of unprocessed clauses: 89
% 0.13/0.42 % ...number of literals in the above : 533
% 0.13/0.42 % Current number of archived formulas : 0
% 0.13/0.42 % Current number of archived clauses : 39
% 0.13/0.42 % Clause-clause subsumption calls (NU) : 395
% 0.13/0.42 % Rec. Clause-clause subsumption calls : 176
% 0.13/0.42 % Non-unit clause-clause subsumptions : 38
% 0.13/0.42 % Unit Clause-clause subsumption calls : 35
% 0.13/0.42 % Rewrite failures with RHS unbound : 0
% 0.13/0.42 % BW rewrite match attempts : 4
% 0.13/0.42 % BW rewrite match successes : 4
% 0.13/0.42 % Condensation attempts : 0
% 0.13/0.42 % Condensation successes : 0
% 0.13/0.42 % Termbank termtop insertions : 4281
% 0.13/0.42 % Search garbage collected termcells : 89
% 0.13/0.42
% 0.13/0.42 % -------------------------------------------------
% 0.13/0.42 % User time : 0.007 s
% 0.13/0.42 % System time : 0.001 s
% 0.13/0.42 % Total time : 0.008 s
% 0.13/0.42 % Maximum resident set size: 3652 pages
% 0.13/0.42
% 0.13/0.42 % -------------------------------------------------
% 0.13/0.42 % User time : 0.010 s
% 0.13/0.42 % System time : 0.004 s
% 0.13/0.42 % Total time : 0.014 s
% 0.13/0.42 % Maximum resident set size: 4864 pages
% 0.13/0.42 % E exiting
%------------------------------------------------------------------------------