%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : MGT037-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n002.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 : Fri Sep 25 02:12:31 PM UTC 2026
% Result : Unsatisfiable 3.00s 1.31s
% Output : CNFRefutation 3.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 27
% Syntax : Number of formulae : 152 ( 26 unt; 3 def)
% Number of atoms : 575 ( 120 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 637 ( 298 ~; 339 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 13 ( 11 usr; 5 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 6 con; 0-2 aty)
% Number of variables : 187 ( 0 sgn 187 !; 0 ?; 136 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( in_environment(X0,sk1(X1,X0))
| cardinality_at_time(efficient_producers,X1) != zero
| ~ greater_or_equal(X1,appear(efficient_producers,X0))
| ~ environment(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_previous_negative_growth_29) ).
fof(f4,axiom,
! [X0,X1] :
( greater(zero,growth_rate(efficient_producers,sk1(X1,X0)))
| cardinality_at_time(efficient_producers,X1) != zero
| ~ greater_or_equal(X1,appear(efficient_producers,X0))
| ~ environment(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_previous_negative_growth_31) ).
fof(f5,axiom,
! [X0,X1] :
( number_of_organizations(X0,X1) = zero
| ~ greater(appear(an_organisation,X0),X1)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_start_of_organizations_32) ).
fof(f6,plain,
! [X0,X1] :
( zero = number_of_organizations(X0,X1)
| ~ greater(appear(an_organisation,X0),X1)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,axiom,
! [X0,X1] :
( subpopulation(sk2(X1,X0),X0,X1)
| decreases(number_of_organizations(X0,X1))
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_non_decreasing_33) ).
fof(f8,axiom,
! [X0,X1] :
( greater(cardinality_at_time(sk2(X1,X0),X1),zero)
| decreases(number_of_organizations(X0,X1))
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_non_decreasing_34) ).
fof(f9,axiom,
! [X0,X1] :
( ~ greater(zero,growth_rate(sk2(X1,X0),X1))
| decreases(number_of_organizations(X0,X1))
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_non_decreasing_35) ).
fof(f10,axiom,
! [X2,X0,X1] :
( cardinality_at_time(X2,X1) = zero
| ~ subpopulation(X2,X0,X1)
| number_of_organizations(X0,X1) != zero
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_no_members_36) ).
fof(f11,plain,
! [X2,X0,X1] :
( zero = cardinality_at_time(X2,X1)
| ~ subpopulation(X2,X0,X1)
| zero != number_of_organizations(X0,X1)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(reorient_equations,[],[f10]) ).
fof(f12,axiom,
! [X0,X1] :
( subpopulation(first_movers,X0,X1)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_subpopulations_37) ).
fof(f14,axiom,
! [X0,X1] :
( ~ greater(zero,growth_rate(X0,X1))
| cardinality_at_time(X0,X1) != zero ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_empty_not_decreasing_39) ).
fof(f15,plain,
! [X0,X1] :
( ~ greater(zero,growth_rate(X0,X1))
| zero != cardinality_at_time(X0,X1) ),
inference(reorient_equations,[],[f14]) ).
fof(f16,axiom,
! [X0,X1] :
( greater(cardinality_at_time(efficient_producers,X1),zero)
| cardinality_at_time(efficient_producers,X1) = zero
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_efficient_producers_exist_40) ).
fof(f17,axiom,
! [X0] :
( ~ decreases(X0)
| ~ constant(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_constant_not_decrease_41) ).
fof(f18,axiom,
! [X0,X1] :
( greater(appear(an_organisation,X0),X1)
| greater_or_equal(X1,appear(an_organisation,X0))
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_environment_inequality_42) ).
fof(f19,axiom,
! [X0,X1] :
( decreases(resources(X0,X1))
| ~ greater(equilibrium(X0),X1)
| ~ greater(number_of_organizations(X0,X1),zero)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a3_43) ).
fof(f20,axiom,
! [X0,X1] :
( constant(resources(X0,X1))
| greater(equilibrium(X0),X1)
| ~ greater(number_of_organizations(X0,X1),zero)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a3_44) ).
fof(f21,axiom,
! [X0,X1] :
( greater(number_of_organizations(X0,X1),zero)
| ~ greater_or_equal(X1,appear(an_organisation,X0))
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1_45) ).
fof(f22,axiom,
! [X0,X1] :
( ~ decreases(number_of_organizations(X0,X1))
| ~ decreases(resources(X0,X1))
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a6_46) ).
fof(f23,axiom,
! [X0,X1] :
( constant(number_of_organizations(X0,X1))
| ~ constant(resources(X0,X1))
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a6_47) ).
fof(f24,axiom,
! [X2,X3,X0,X1] :
( ~ greater(zero,growth_rate(X3,X1))
| ~ greater(resilience(X3),resilience(X2))
| greater(zero,growth_rate(X2,X1))
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a12_48) ).
fof(f25,axiom,
greater(resilience(efficient_producers),resilience(first_movers)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2_49) ).
fof(f26,axiom,
! [X2,X0,X1] :
( X1 = first_movers
| X1 = efficient_producers
| ~ greater(cardinality_at_time(X1,X2),zero)
| ~ subpopulation(X1,X0,X2)
| ~ environment(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a9_50) ).
fof(f27,plain,
! [X2,X0,X1] :
( first_movers = X1
| efficient_producers = X1
| ~ greater(cardinality_at_time(X1,X2),zero)
| ~ subpopulation(X1,X0,X2)
| ~ environment(X0) ),
inference(reorient_equations,[],[f26]) ).
fof(f28,negated_conjecture,
environment(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t6_51) ).
fof(f29,negated_conjecture,
in_environment(sk3,sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t6_52) ).
fof(f30,negated_conjecture,
greater_or_equal(sk4,appear(efficient_producers,sk3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t6_53) ).
fof(f31,negated_conjecture,
~ greater(cardinality_at_time(efficient_producers,sk4),zero),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t6_54) ).
tcf(c_77,plain,
! [X0: $i,X1: $i] :
( in_environment(X1,sk1(X0,X1))
| ~ environment(X1)
| ~ greater_or_equal(X0,appear(efficient_producers,X1))
| ( cardinality_at_time(efficient_producers,X0) != zero ) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_79,plain,
! [X0: $i,X1: $i] :
( greater(zero,growth_rate(efficient_producers,sk1(X0,X1)))
| ~ environment(X1)
| ~ greater_or_equal(X0,appear(efficient_producers,X1))
| ( cardinality_at_time(efficient_producers,X0) != zero ) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_80,plain,
! [X0: $i,X1: $i] :
( ( number_of_organizations(X0,X1) = zero )
| ~ environment(X0)
| ~ in_environment(X0,X1)
| ~ greater(appear(an_organisation,X0),X1) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i] :
( decreases(number_of_organizations(X0,X1))
| subpopulation(sk2(X1,X0),X0,X1)
| ~ environment(X0)
| ~ in_environment(X0,X1) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i] :
( decreases(number_of_organizations(X0,X1))
| greater(cardinality_at_time(sk2(X1,X0),X1),zero)
| ~ environment(X0)
| ~ in_environment(X0,X1) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i] :
( decreases(number_of_organizations(X1,X0))
| ~ environment(X1)
| ~ in_environment(X1,X0)
| ~ greater(zero,growth_rate(sk2(X0,X1),X0)) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cardinality_at_time(X2,X1) = zero )
| ~ environment(X0)
| ~ in_environment(X0,X1)
| ~ subpopulation(X2,X0,X1)
| ( number_of_organizations(X0,X1) != zero ) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i] :
( subpopulation(first_movers,X0,X1)
| ~ environment(X0)
| ~ in_environment(X0,X1) ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i] :
( ~ greater(zero,growth_rate(X0,X1))
| ( cardinality_at_time(X0,X1) != zero ) ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i] :
( greater(cardinality_at_time(efficient_producers,X1),zero)
| ( cardinality_at_time(efficient_producers,X1) = zero )
| ~ environment(X0)
| ~ in_environment(X0,X1) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_89,plain,
! [X0: $i] :
( ~ constant(X0)
| ~ decreases(X0) ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_90,plain,
! [X0: $i,X1: $i] :
( greater(appear(an_organisation,X0),X1)
| greater_or_equal(X1,appear(an_organisation,X0))
| ~ environment(X0)
| ~ in_environment(X0,X1) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i] :
( decreases(resources(X0,X1))
| ~ environment(X0)
| ~ in_environment(X0,X1)
| ~ greater(equilibrium(X0),X1)
| ~ greater(number_of_organizations(X0,X1),zero) ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_92,plain,
! [X0: $i,X1: $i] :
( constant(resources(X0,X1))
| greater(equilibrium(X0),X1)
| ~ environment(X0)
| ~ in_environment(X0,X1)
| ~ greater(number_of_organizations(X0,X1),zero) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_93,plain,
! [X0: $i,X1: $i] :
( greater(number_of_organizations(X1,X0),zero)
| ~ environment(X1)
| ~ in_environment(X1,X0)
| ~ greater_or_equal(X0,appear(an_organisation,X1)) ),
inference(cnf_transformation,[],[f21]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i] :
( ~ environment(X0)
| ~ in_environment(X0,X1)
| ~ decreases(resources(X0,X1))
| ~ decreases(number_of_organizations(X0,X1)) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_95,plain,
! [X0: $i,X1: $i] :
( constant(number_of_organizations(X0,X1))
| ~ environment(X0)
| ~ in_environment(X0,X1)
| ~ constant(resources(X0,X1)) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_96,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( greater(zero,growth_rate(X1,X2))
| ~ environment(X3)
| ~ in_environment(X3,X2)
| ~ greater(zero,growth_rate(X0,X2))
| ~ greater(resilience(X0),resilience(X1)) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_97,plain,
greater(resilience(efficient_producers),resilience(first_movers)),
inference(cnf_transformation,[],[f25]) ).
tcf(c_98,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = first_movers )
| ( X0 = efficient_producers )
| ~ environment(X2)
| ~ subpopulation(X0,X2,X1)
| ~ greater(cardinality_at_time(X0,X1),zero) ),
inference(cnf_transformation,[],[f27]) ).
tcf(c_99,negated_conjecture,
environment(sk3),
inference(cnf_transformation,[],[f28]) ).
tcf(c_100,negated_conjecture,
in_environment(sk3,sk4),
inference(cnf_transformation,[],[f29]) ).
tcf(c_101,negated_conjecture,
greater_or_equal(sk4,appear(efficient_producers,sk3)),
inference(cnf_transformation,[],[f30]) ).
tcf(c_102,negated_conjecture,
~ greater(cardinality_at_time(efficient_producers,sk4),zero),
inference(cnf_transformation,[],[f31]) ).
tcf(c_512,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( decreases(number_of_organizations(X1,X0))
| ( X2 = first_movers )
| ( X2 = efficient_producers )
| ~ environment(X3)
| ~ environment(X1)
| ~ in_environment(X1,X0)
| ~ greater(cardinality_at_time(X2,X4),zero)
| ( X1 != X3 )
| ( X0 != X4 )
| ( sk2(X0,X1) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_81,c_98]) ).
tcf(c_513,plain,
! [X0: $i,X1: $i] :
( decreases(number_of_organizations(X1,X0))
| ( sk2(X0,X1) = first_movers )
| ( sk2(X0,X1) = efficient_producers )
| ~ environment(X1)
| ~ in_environment(X1,X0)
| ~ greater(cardinality_at_time(sk2(X0,X1),X0),zero) ),
inference(unflattening,[status(thm)],[c_512]) ).
tcf(c_527,plain,
! [X0: $i,X1: $i] :
( decreases(number_of_organizations(X0,X1))
| ( sk2(X1,X0) = first_movers )
| ( sk2(X1,X0) = efficient_producers )
| ~ environment(X0)
| ~ in_environment(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_513,c_82]) ).
tcf(c_534,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( cardinality_at_time(X4,X1) = zero )
| ~ environment(X2)
| ~ environment(X0)
| ~ in_environment(X2,X3)
| ~ in_environment(X0,X1)
| ( X4 != first_movers )
| ( X1 != X3 )
| ( X0 != X2 )
| ( number_of_organizations(X0,X1) != zero ) ),
inference(resolution_lifted,[status(thm)],[c_84,c_85]) ).
tcf(c_535,plain,
! [X0: $i,X1: $i] :
( ( cardinality_at_time(first_movers,X1) = zero )
| ~ environment(X0)
| ~ in_environment(X0,X1)
| ( number_of_organizations(X0,X1) != zero ) ),
inference(unflattening,[status(thm)],[c_534]) ).
tcf(c_848,plain,
! [X0: $i,X1: $i] :
( ( cardinality_at_time(first_movers,X1) = zero )
| ~ in_environment(X0,X1)
| ( X0 != sk3 )
| ( number_of_organizations(X0,X1) != zero ) ),
inference(resolution_lifted,[status(thm)],[c_535,c_99]) ).
tcf(c_849,plain,
! [X0: $i] :
( ( cardinality_at_time(first_movers,X0) = zero )
| ~ in_environment(sk3,X0)
| ( number_of_organizations(sk3,X0) != zero ) ),
inference(unflattening,[status(thm)],[c_848]) ).
tcf(c_860,plain,
! [X0: $i,X1: $i] :
( decreases(number_of_organizations(X0,X1))
| ( sk2(X1,X0) = first_movers )
| ( sk2(X1,X0) = efficient_producers )
| ~ in_environment(X0,X1)
| ( X0 != sk3 ) ),
inference(resolution_lifted,[status(thm)],[c_527,c_99]) ).
tcf(c_861,plain,
! [X0: $i] :
( decreases(number_of_organizations(sk3,X0))
| ( sk2(X0,sk3) = first_movers )
| ( sk2(X0,sk3) = efficient_producers )
| ~ in_environment(sk3,X0) ),
inference(unflattening,[status(thm)],[c_860]) ).
tcf(c_890,plain,
! [X0: $i,X1: $i] :
( constant(number_of_organizations(X0,X1))
| ~ in_environment(X0,X1)
| ~ constant(resources(X0,X1))
| ( X0 != sk3 ) ),
inference(resolution_lifted,[status(thm)],[c_95,c_99]) ).
tcf(c_891,plain,
! [X0: $i] :
( constant(number_of_organizations(sk3,X0))
| ~ in_environment(sk3,X0)
| ~ constant(resources(sk3,X0)) ),
inference(unflattening,[status(thm)],[c_890]) ).
tcf(c_902,plain,
! [X0: $i,X1: $i] :
( ~ in_environment(X0,X1)
| ~ decreases(resources(X0,X1))
| ~ decreases(number_of_organizations(X0,X1))
| ( X0 != sk3 ) ),
inference(resolution_lifted,[status(thm)],[c_94,c_99]) ).
tcf(c_903,plain,
! [X0: $i] :
( ~ in_environment(sk3,X0)
| ~ decreases(resources(sk3,X0))
| ~ decreases(number_of_organizations(sk3,X0)) ),
inference(unflattening,[status(thm)],[c_902]) ).
tcf(c_914,plain,
! [X0: $i,X1: $i] :
( constant(resources(X0,X1))
| greater(equilibrium(X0),X1)
| ~ in_environment(X0,X1)
| ~ greater(number_of_organizations(X0,X1),zero)
| ( X0 != sk3 ) ),
inference(resolution_lifted,[status(thm)],[c_92,c_99]) ).
tcf(c_915,plain,
! [X0: $i] :
( constant(resources(sk3,X0))
| greater(equilibrium(sk3),X0)
| ~ in_environment(sk3,X0)
| ~ greater(number_of_organizations(sk3,X0),zero) ),
inference(unflattening,[status(thm)],[c_914]) ).
tcf(c_929,plain,
! [X0: $i,X1: $i] :
( decreases(resources(X0,X1))
| ~ in_environment(X0,X1)
| ~ greater(equilibrium(X0),X1)
| ~ greater(number_of_organizations(X0,X1),zero)
| ( X0 != sk3 ) ),
inference(resolution_lifted,[status(thm)],[c_91,c_99]) ).
tcf(c_930,plain,
! [X0: $i] :
( decreases(resources(sk3,X0))
| ~ in_environment(sk3,X0)
| ~ greater(equilibrium(sk3),X0)
| ~ greater(number_of_organizations(sk3,X0),zero) ),
inference(unflattening,[status(thm)],[c_929]) ).
tcf(c_944,plain,
! [X0: $i,X1: $i] :
( greater(appear(an_organisation,X0),X1)
| greater_or_equal(X1,appear(an_organisation,X0))
| ~ in_environment(X0,X1)
| ( X0 != sk3 ) ),
inference(resolution_lifted,[status(thm)],[c_90,c_99]) ).
tcf(c_945,plain,
! [X0: $i] :
( greater(appear(an_organisation,sk3),X0)
| greater_or_equal(X0,appear(an_organisation,sk3))
| ~ in_environment(sk3,X0) ),
inference(unflattening,[status(thm)],[c_944]) ).
tcf(c_956,plain,
! [X0: $i,X1: $i] :
( greater(cardinality_at_time(efficient_producers,X1),zero)
| ( cardinality_at_time(efficient_producers,X1) = zero )
| ~ in_environment(X0,X1)
| ( X0 != sk3 ) ),
inference(resolution_lifted,[status(thm)],[c_88,c_99]) ).
tcf(c_957,plain,
! [X0: $i] :
( greater(cardinality_at_time(efficient_producers,X0),zero)
| ( cardinality_at_time(efficient_producers,X0) = zero )
| ~ in_environment(sk3,X0) ),
inference(unflattening,[status(thm)],[c_956]) ).
tcf(c_980,plain,
! [X0: $i,X1: $i] :
( ( number_of_organizations(X0,X1) = zero )
| ~ in_environment(X0,X1)
| ~ greater(appear(an_organisation,X0),X1)
| ( X0 != sk3 ) ),
inference(resolution_lifted,[status(thm)],[c_80,c_99]) ).
tcf(c_981,plain,
! [X0: $i] :
( ( number_of_organizations(sk3,X0) = zero )
| ~ in_environment(sk3,X0)
| ~ greater(appear(an_organisation,sk3),X0) ),
inference(unflattening,[status(thm)],[c_980]) ).
tcf(c_992,plain,
! [X0: $i,X1: $i] :
( greater(number_of_organizations(X0,X1),zero)
| ~ in_environment(X0,X1)
| ~ greater_or_equal(X1,appear(an_organisation,X0))
| ( X0 != sk3 ) ),
inference(resolution_lifted,[status(thm)],[c_93,c_99]) ).
tcf(c_993,plain,
! [X0: $i] :
( greater(number_of_organizations(sk3,X0),zero)
| ~ in_environment(sk3,X0)
| ~ greater_or_equal(X0,appear(an_organisation,sk3)) ),
inference(unflattening,[status(thm)],[c_992]) ).
tcf(c_1004,plain,
! [X0: $i,X1: $i] :
( decreases(number_of_organizations(X0,X1))
| ~ in_environment(X0,X1)
| ~ greater(zero,growth_rate(sk2(X1,X0),X1))
| ( X0 != sk3 ) ),
inference(resolution_lifted,[status(thm)],[c_83,c_99]) ).
tcf(c_1005,plain,
! [X0: $i] :
( decreases(number_of_organizations(sk3,X0))
| ~ in_environment(sk3,X0)
| ~ greater(zero,growth_rate(sk2(X0,sk3),X0)) ),
inference(unflattening,[status(thm)],[c_1004]) ).
tcf(c_1016,plain,
! [X0: $i,X1: $i] :
( greater(zero,growth_rate(efficient_producers,sk1(X0,X1)))
| ~ greater_or_equal(X0,appear(efficient_producers,X1))
| ( X1 != sk3 )
| ( cardinality_at_time(efficient_producers,X0) != zero ) ),
inference(resolution_lifted,[status(thm)],[c_79,c_99]) ).
tcf(c_1017,plain,
! [X0: $i] :
( greater(zero,growth_rate(efficient_producers,sk1(X0,sk3)))
| ~ greater_or_equal(X0,appear(efficient_producers,sk3))
| ( cardinality_at_time(efficient_producers,X0) != zero ) ),
inference(unflattening,[status(thm)],[c_1016]) ).
tcf(c_1040,plain,
! [X0: $i,X1: $i] :
( in_environment(X1,sk1(X0,X1))
| ~ greater_or_equal(X0,appear(efficient_producers,X1))
| ( X1 != sk3 )
| ( cardinality_at_time(efficient_producers,X0) != zero ) ),
inference(resolution_lifted,[status(thm)],[c_77,c_99]) ).
tcf(c_1041,plain,
! [X0: $i] :
( in_environment(sk3,sk1(X0,sk3))
| ~ greater_or_equal(X0,appear(efficient_producers,sk3))
| ( cardinality_at_time(efficient_producers,X0) != zero ) ),
inference(unflattening,[status(thm)],[c_1040]) ).
tcf(c_1064,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( greater(zero,growth_rate(X2,X3))
| ~ in_environment(X0,X3)
| ~ greater(zero,growth_rate(X1,X3))
| ~ greater(resilience(X1),resilience(X2))
| ( X0 != sk3 ) ),
inference(resolution_lifted,[status(thm)],[c_96,c_99]) ).
tcf(c_1065,plain,
! [X0: $i,X1: $i,X2: $i] :
( greater(zero,growth_rate(X1,X2))
| ~ in_environment(sk3,X2)
| ~ greater(zero,growth_rate(X0,X2))
| ~ greater(resilience(X0),resilience(X1)) ),
inference(unflattening,[status(thm)],[c_1064]) ).
tcf(c_2647,definition,
iPr_def_11 = appear(an_organisation,sk3),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_2648,definition,
iPr_def_12 = equilibrium(sk3),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_2649,definition,
iPr_def_13 = cardinality_at_time(efficient_producers,sk4),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_2650,plain,
! [X0: $i,X1: $i,X2: $i] :
( greater(zero,growth_rate(X1,X2))
| ~ in_environment(sk3,X2)
| ~ greater(zero,growth_rate(X0,X2))
| ~ greater(resilience(X0),resilience(X1)) ),
inference(demodulation,[status(thm)],[c_1065]) ).
tcf(c_2652,plain,
! [X0: $i] :
( in_environment(sk3,sk1(X0,sk3))
| ~ greater_or_equal(X0,iPr_def_10)
| ( cardinality_at_time(efficient_producers,X0) != zero ) ),
inference(demodulation,[status(thm)],[c_1041]) ).
tcf(c_2654,plain,
! [X0: $i] :
( greater(zero,growth_rate(efficient_producers,sk1(X0,sk3)))
| ~ greater_or_equal(X0,iPr_def_10)
| ( cardinality_at_time(efficient_producers,X0) != zero ) ),
inference(demodulation,[status(thm)],[c_1017]) ).
tcf(c_2655,plain,
! [X0: $i] :
( decreases(number_of_organizations(sk3,X0))
| ~ in_environment(sk3,X0)
| ~ greater(zero,growth_rate(sk2(X0,sk3),X0)) ),
inference(demodulation,[status(thm)],[c_1005]) ).
tcf(c_2656,plain,
! [X0: $i] :
( greater(number_of_organizations(sk3,X0),zero)
| ~ in_environment(sk3,X0)
| ~ greater_or_equal(X0,iPr_def_11) ),
inference(demodulation,[status(thm)],[c_993,c_2647]) ).
tcf(c_2657,plain,
! [X0: $i] :
( ( number_of_organizations(sk3,X0) = zero )
| ~ in_environment(sk3,X0)
| ~ greater(iPr_def_11,X0) ),
inference(demodulation,[status(thm)],[c_981]) ).
tcf(c_2659,plain,
! [X0: $i] :
( greater(cardinality_at_time(efficient_producers,X0),zero)
| ( cardinality_at_time(efficient_producers,X0) = zero )
| ~ in_environment(sk3,X0) ),
inference(demodulation,[status(thm)],[c_957]) ).
tcf(c_2660,plain,
! [X0: $i] :
( greater(iPr_def_11,X0)
| greater_or_equal(X0,iPr_def_11)
| ~ in_environment(sk3,X0) ),
inference(demodulation,[status(thm)],[c_945]) ).
tcf(c_2661,plain,
! [X0: $i] :
( decreases(resources(sk3,X0))
| ~ in_environment(sk3,X0)
| ~ greater(iPr_def_12,X0)
| ~ greater(number_of_organizations(sk3,X0),zero) ),
inference(demodulation,[status(thm)],[c_930,c_2648]) ).
tcf(c_2662,plain,
! [X0: $i] :
( greater(iPr_def_12,X0)
| constant(resources(sk3,X0))
| ~ in_environment(sk3,X0)
| ~ greater(number_of_organizations(sk3,X0),zero) ),
inference(demodulation,[status(thm)],[c_915]) ).
tcf(c_2664,plain,
! [X0: $i] :
( constant(number_of_organizations(sk3,X0))
| ~ in_environment(sk3,X0)
| ~ constant(resources(sk3,X0)) ),
inference(demodulation,[status(thm)],[c_891]) ).
tcf(c_2666,plain,
! [X0: $i] :
( decreases(number_of_organizations(sk3,X0))
| ( sk2(X0,sk3) = first_movers )
| ( sk2(X0,sk3) = efficient_producers )
| ~ in_environment(sk3,X0) ),
inference(demodulation,[status(thm)],[c_861]) ).
tcf(c_2667,plain,
! [X0: $i] :
( ( cardinality_at_time(first_movers,X0) = zero )
| ~ in_environment(sk3,X0)
| ( number_of_organizations(sk3,X0) != zero ) ),
inference(demodulation,[status(thm)],[c_849]) ).
tcf(c_2669,negated_conjecture,
~ greater(iPr_def_13,zero),
inference(demodulation,[status(thm)],[c_102,c_2649]) ).
tcf(c_2670,negated_conjecture,
greater_or_equal(sk4,iPr_def_10),
inference(demodulation,[status(thm)],[c_101]) ).
tcf(c_2671,negated_conjecture,
in_environment(sk3,sk4),
inference(demodulation,[status(thm)],[c_100]) ).
tcf(c_3218,plain,
! [X0: $i] :
( greater(zero,growth_rate(first_movers,X0))
| ~ in_environment(sk3,X0)
| ~ greater(zero,growth_rate(efficient_producers,X0)) ),
inference(superposition,[status(thm)],[c_97,c_2650]) ).
tcf(c_3256,plain,
( greater(iPr_def_13,zero)
| ( cardinality_at_time(efficient_producers,sk4) = zero )
| ~ in_environment(sk3,sk4) ),
inference(superposition,[status(thm)],[c_2649,c_2659]) ).
tcf(c_3257,plain,
( greater(iPr_def_13,zero)
| ( zero = iPr_def_13 )
| ~ in_environment(sk3,sk4) ),
inference(light_normalisation,[status(thm)],[c_3256,c_2649]) ).
tcf(c_3258,plain,
zero = iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_3257,c_2669,c_2671]) ).
tcf(c_3259,plain,
! [X0: $i] :
( greater(cardinality_at_time(efficient_producers,X0),iPr_def_13)
| ( cardinality_at_time(efficient_producers,X0) = iPr_def_13 )
| ~ in_environment(sk3,X0) ),
inference(demodulation,[status(thm)],[c_2659,c_3258]) ).
tcf(c_3261,plain,
! [X0: $i,X1: $i] :
( ~ greater(iPr_def_13,growth_rate(X0,X1))
| ( cardinality_at_time(X0,X1) != iPr_def_13 ) ),
inference(demodulation,[status(thm)],[c_87,c_3258]) ).
tcf(c_3264,plain,
! [X0: $i] :
( ( number_of_organizations(sk3,X0) = iPr_def_13 )
| ~ in_environment(sk3,X0)
| ~ greater(iPr_def_11,X0) ),
inference(demodulation,[status(thm)],[c_2657,c_3258]) ).
tcf(c_3265,plain,
! [X0: $i] :
( greater(number_of_organizations(sk3,X0),iPr_def_13)
| ~ in_environment(sk3,X0)
| ~ greater_or_equal(X0,iPr_def_11) ),
inference(demodulation,[status(thm)],[c_2656,c_3258]) ).
tcf(c_3266,plain,
~ greater(iPr_def_13,iPr_def_13),
inference(demodulation,[status(thm)],[c_2669,c_3258]) ).
tcf(c_3307,plain,
! [X0: $i] :
( greater(iPr_def_13,growth_rate(first_movers,X0))
| ~ in_environment(sk3,X0)
| ~ greater(iPr_def_13,growth_rate(efficient_producers,X0)) ),
inference(light_normalisation,[status(thm)],[c_3218,c_3258]) ).
tcf(c_3333,plain,
( greater(iPr_def_13,iPr_def_13)
| ( cardinality_at_time(efficient_producers,sk4) = iPr_def_13 )
| ~ in_environment(sk3,sk4) ),
inference(superposition,[status(thm)],[c_2649,c_3259]) ).
tcf(c_3334,plain,
cardinality_at_time(efficient_producers,sk4) = iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_3333,c_3266,c_2671]) ).
tcf(c_3356,plain,
! [X0: $i] :
( in_environment(sk3,sk1(X0,sk3))
| ~ greater_or_equal(X0,iPr_def_10)
| ( cardinality_at_time(efficient_producers,X0) != iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_2652,c_3258]) ).
tcf(c_3366,plain,
( in_environment(sk3,sk1(sk4,sk3))
| ~ greater_or_equal(sk4,iPr_def_10) ),
inference(superposition,[status(thm)],[c_3334,c_3356]) ).
tcf(c_3368,plain,
in_environment(sk3,sk1(sk4,sk3)),
inference(forward_subsumption_resolution,[status(thm)],[c_3366,c_2670]) ).
tcf(c_3369,plain,
( ( number_of_organizations(sk3,sk1(sk4,sk3)) = iPr_def_13 )
| ~ greater(iPr_def_11,sk1(sk4,sk3)) ),
inference(superposition,[status(thm)],[c_3368,c_3264]) ).
tcf(c_3370,plain,
( greater(iPr_def_11,sk1(sk4,sk3))
| greater_or_equal(sk1(sk4,sk3),iPr_def_11) ),
inference(superposition,[status(thm)],[c_3368,c_2660]) ).
tcf(c_3396,plain,
! [X0: $i] :
( decreases(number_of_organizations(sk3,X0))
| ~ in_environment(sk3,X0)
| ~ greater(iPr_def_13,growth_rate(sk2(X0,sk3),X0)) ),
inference(light_normalisation,[status(thm)],[c_2655,c_3258]) ).
tcf(c_3406,plain,
! [X0: $i] :
( greater(iPr_def_12,X0)
| constant(resources(sk3,X0))
| ~ in_environment(sk3,X0)
| ~ greater(number_of_organizations(sk3,X0),iPr_def_13) ),
inference(light_normalisation,[status(thm)],[c_2662,c_3258]) ).
tcf(c_3419,plain,
! [X0: $i] :
( greater(iPr_def_12,X0)
| constant(resources(sk3,X0))
| ~ in_environment(sk3,X0)
| ~ greater_or_equal(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_3265,c_3406]) ).
tcf(c_3434,plain,
! [X0: $i] :
( ( cardinality_at_time(first_movers,X0) = iPr_def_13 )
| ~ in_environment(sk3,X0)
| ( number_of_organizations(sk3,X0) != iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_2667,c_3258]) ).
tcf(c_3454,plain,
! [X0: $i] :
( greater(iPr_def_13,growth_rate(efficient_producers,sk1(X0,sk3)))
| ~ greater_or_equal(X0,iPr_def_10)
| ( cardinality_at_time(efficient_producers,X0) != iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_2654,c_3258]) ).
tcf(c_3464,plain,
( greater(iPr_def_13,growth_rate(efficient_producers,sk1(sk4,sk3)))
| ~ greater_or_equal(sk4,iPr_def_10) ),
inference(superposition,[status(thm)],[c_3334,c_3454]) ).
tcf(c_3466,plain,
greater(iPr_def_13,growth_rate(efficient_producers,sk1(sk4,sk3))),
inference(forward_subsumption_resolution,[status(thm)],[c_3464,c_2670]) ).
tcf(c_3486,plain,
( greater(iPr_def_13,growth_rate(first_movers,sk1(sk4,sk3)))
| ~ in_environment(sk3,sk1(sk4,sk3)) ),
inference(superposition,[status(thm)],[c_3466,c_3307]) ).
tcf(c_3487,plain,
greater(iPr_def_13,growth_rate(first_movers,sk1(sk4,sk3))),
inference(forward_subsumption_resolution,[status(thm)],[c_3486,c_3368]) ).
tcf(c_3497,plain,
! [X0: $i] :
( greater(iPr_def_12,X0)
| constant(number_of_organizations(sk3,X0))
| ~ in_environment(sk3,X0)
| ~ greater_or_equal(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_3419,c_2664]) ).
tcf(c_3516,plain,
! [X0: $i] :
( greater(iPr_def_12,X0)
| ~ in_environment(sk3,X0)
| ~ greater_or_equal(X0,iPr_def_11)
| ~ decreases(number_of_organizations(sk3,X0)) ),
inference(superposition,[status(thm)],[c_3497,c_89]) ).
tcf(c_3581,plain,
! [X0: $i] :
( ~ decreases(number_of_organizations(sk3,X0))
| ~ greater_or_equal(X0,iPr_def_11)
| ~ in_environment(sk3,X0) ),
inference(global_subsumption_just,[status(thm)],[c_3516,c_903,c_2656,c_2661,c_3516]) ).
tcf(c_3582,plain,
! [X0: $i] :
( ~ in_environment(sk3,X0)
| ~ greater_or_equal(X0,iPr_def_11)
| ~ decreases(number_of_organizations(sk3,X0)) ),
inference(renaming,[status(thm)],[c_3581]) ).
tcf(c_3590,plain,
! [X0: $i] :
( ( sk2(X0,sk3) = first_movers )
| ( sk2(X0,sk3) = efficient_producers )
| ~ in_environment(sk3,X0)
| ~ greater_or_equal(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_2666,c_3582]) ).
tcf(c_3605,plain,
( greater(iPr_def_11,sk1(sk4,sk3))
| ( sk2(sk1(sk4,sk3),sk3) = first_movers )
| ( sk2(sk1(sk4,sk3),sk3) = efficient_producers )
| ~ in_environment(sk3,sk1(sk4,sk3)) ),
inference(superposition,[status(thm)],[c_3370,c_3590]) ).
tcf(c_3610,plain,
( greater(iPr_def_11,sk1(sk4,sk3))
| ( sk2(sk1(sk4,sk3),sk3) = first_movers )
| ( sk2(sk1(sk4,sk3),sk3) = efficient_producers ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3605,c_3368]) ).
tcf(c_3664,plain,
( ( sk2(sk1(sk4,sk3),sk3) = first_movers )
| ( sk2(sk1(sk4,sk3),sk3) = efficient_producers )
| ( number_of_organizations(sk3,sk1(sk4,sk3)) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_3610,c_3369]) ).
tcf(c_3676,plain,
( decreases(number_of_organizations(sk3,sk1(sk4,sk3)))
| ( sk2(sk1(sk4,sk3),sk3) = efficient_producers )
| ( number_of_organizations(sk3,sk1(sk4,sk3)) = iPr_def_13 )
| ~ in_environment(sk3,sk1(sk4,sk3))
| ~ greater(iPr_def_13,growth_rate(first_movers,sk1(sk4,sk3))) ),
inference(superposition,[status(thm)],[c_3664,c_3396]) ).
tcf(c_3683,plain,
( decreases(number_of_organizations(sk3,sk1(sk4,sk3)))
| ( sk2(sk1(sk4,sk3),sk3) = efficient_producers )
| ( number_of_organizations(sk3,sk1(sk4,sk3)) = iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3676,c_3368,c_3487]) ).
tcf(c_3693,plain,
( ( sk2(sk1(sk4,sk3),sk3) = efficient_producers )
| ( number_of_organizations(sk3,sk1(sk4,sk3)) = iPr_def_13 )
| ~ in_environment(sk3,sk1(sk4,sk3))
| ~ greater_or_equal(sk1(sk4,sk3),iPr_def_11) ),
inference(superposition,[status(thm)],[c_3683,c_3582]) ).
tcf(c_3695,plain,
( ( sk2(sk1(sk4,sk3),sk3) = efficient_producers )
| ( number_of_organizations(sk3,sk1(sk4,sk3)) = iPr_def_13 )
| ~ greater_or_equal(sk1(sk4,sk3),iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3693,c_3368]) ).
tcf(c_3703,plain,
( ( sk2(sk1(sk4,sk3),sk3) = efficient_producers )
| ( number_of_organizations(sk3,sk1(sk4,sk3)) = iPr_def_13 ) ),
inference(global_subsumption_just,[status(thm)],[c_3695,c_3370,c_3369,c_3695]) ).
tcf(c_3709,plain,
( decreases(number_of_organizations(sk3,sk1(sk4,sk3)))
| ( number_of_organizations(sk3,sk1(sk4,sk3)) = iPr_def_13 )
| ~ in_environment(sk3,sk1(sk4,sk3))
| ~ greater(iPr_def_13,growth_rate(efficient_producers,sk1(sk4,sk3))) ),
inference(superposition,[status(thm)],[c_3703,c_3396]) ).
tcf(c_3715,plain,
( decreases(number_of_organizations(sk3,sk1(sk4,sk3)))
| ( number_of_organizations(sk3,sk1(sk4,sk3)) = iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3709,c_3368,c_3466]) ).
tcf(c_3722,plain,
( ( number_of_organizations(sk3,sk1(sk4,sk3)) = iPr_def_13 )
| ~ in_environment(sk3,sk1(sk4,sk3))
| ~ greater_or_equal(sk1(sk4,sk3),iPr_def_11) ),
inference(superposition,[status(thm)],[c_3715,c_3582]) ).
tcf(c_3724,plain,
( ( number_of_organizations(sk3,sk1(sk4,sk3)) = iPr_def_13 )
| ~ greater_or_equal(sk1(sk4,sk3),iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3722,c_3368]) ).
tcf(c_3730,plain,
number_of_organizations(sk3,sk1(sk4,sk3)) = iPr_def_13,
inference(global_subsumption_just,[status(thm)],[c_3724,c_3370,c_3369,c_3724]) ).
tcf(c_3739,plain,
( ( cardinality_at_time(first_movers,sk1(sk4,sk3)) = iPr_def_13 )
| ~ in_environment(sk3,sk1(sk4,sk3)) ),
inference(superposition,[status(thm)],[c_3730,c_3434]) ).
tcf(c_3743,plain,
cardinality_at_time(first_movers,sk1(sk4,sk3)) = iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_3739,c_3368]) ).
tcf(c_3758,plain,
~ greater(iPr_def_13,growth_rate(first_movers,sk1(sk4,sk3))),
inference(superposition,[status(thm)],[c_3743,c_3261]) ).
tcf(c_3759,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_3758,c_3487]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT037-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.35 % Computer : n002.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 : Thu Sep 24 01:11:34 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.12/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.43
% 0.12/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.43
% 0.12/0.43 % Detected problem language: tptp
% 0.12/0.44 % Proving...
% 3.00/1.31 % SZS status Started for theBenchmark.p
% 3.00/1.31 % SZS status Unsatisfiable for theBenchmark.p
% 3.00/1.31
% 3.00/1.31 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.00/1.31
% 3.00/1.31 % ------ iProver source info
% 3.00/1.31
% 3.00/1.31 % git: date: 2026-07-19 20:42:38 +0200
% 3.00/1.31 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.00/1.31 % git: non_committed_changes: false
% 3.00/1.31
% 3.00/1.31 % ------ Parsing...% successful
% 3.00/1.31
% 3.00/1.31
% 3.00/1.31 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.00/1.31
% 3.00/1.31 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e %
% 3.00/1.31
% 3.00/1.31 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.00/1.31
% 3.00/1.31 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.00/1.31 % ------ Proving...
% 3.00/1.31 % ------ Problem Properties
% 3.00/1.31
% 3.00/1.31 %
% 3.00/1.31 % clauses 29
% 3.00/1.31 % conjectures 3
% 3.00/1.31 % EPR 5
% 3.00/1.31 % Horn 23
% 3.00/1.31 % unary 8
% 3.00/1.31 % binary 2
% 3.00/1.31 % lits 74
% 3.00/1.31 % lits eq 19
% 3.00/1.31 % fd_pure 0
% 3.00/1.31 % fd_pseudo 0
% 3.00/1.31 % fd_cond 0
% 3.00/1.31 % fd_pseudo_cond 0
% 3.00/1.31 % AC symbols 0
% 3.00/1.31
% 3.00/1.31 % ------ Schedule dynamic 5 is on
% 3.00/1.31
% 3.00/1.31 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.00/1.31
% 3.00/1.31
% 3.00/1.31 % ------
% 3.00/1.31 % Current options:
% 3.00/1.31 % ------
% 3.00/1.31
% 3.00/1.31
% 3.00/1.31 %
% 3.00/1.31
% 3.00/1.31 % ------ Proving...
% 3.00/1.31 %
% 3.00/1.31
% 3.00/1.31 % SZS status Unsatisfiable for theBenchmark.p
% 3.00/1.31
% 3.00/1.31 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.00/1.31
% 3.00/1.31
%------------------------------------------------------------------------------