%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : MGT025+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n018.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 02:12:24 PM UTC 2026
% Result : Theorem 2.11s 1.27s
% Output : CNFRefutation 2.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 13
% Syntax : Number of formulae : 171 ( 28 unt; 6 def)
% Number of atoms : 719 ( 112 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 756 ( 316 ~; 369 |; 59 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 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 : 16 ( 14 usr; 7 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 185 ( 0 sgn 181 !; 4 ?; 73 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( ( ( greater(cardinality_at_time(X1,X2),zero)
=> ( X1 = first_movers
| X1 = efficient_producers ) )
& subpopulation(X1,X0,X2)
& environment(X0) )
=> 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) ).
fof(f2,axiom,
! [X0,X1] :
( ( in_environment(X0,X1)
& environment(X0) )
=> ( subpopulation(efficient_producers,X0,X1)
& subpopulation(first_movers,X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_subpopulations) ).
fof(f3,axiom,
! [X0,X1,X2] :
( ( constant(X0)
& X0 = sum(X1,X2) )
=> ( ( increases(X2)
& decreases(X1) )
| ( decreases(X2)
& increases(X1) )
| ( constant(X2)
& constant(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_abc_sum_increase) ).
fof(f4,axiom,
! [X0,X1,X2] :
( ( greater(cardinality_at_time(X0,X2),zero)
& subpopulation(X0,X1,X2)
& in_environment(X1,X2)
& environment(X1) )
=> ( ( decreases(cardinality_at_time(X0,X2))
=> greater(zero,growth_rate(X0,X2)) )
& ( increases(cardinality_at_time(X0,X2))
=> greater(growth_rate(X0,X2),zero) )
& ( constant(cardinality_at_time(X0,X2))
=> growth_rate(X0,X2) = zero ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_growth_rate) ).
fof(f5,axiom,
! [X0,X1] :
( ( subpopulations(first_movers,efficient_producers,X0,X1)
& environment(X0) )
=> ( greater(cardinality_at_time(efficient_producers,X1),zero)
& greater(cardinality_at_time(first_movers,X1),zero) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_non_zero_producers) ).
fof(f6,axiom,
! [X0,X1] :
( ( subpopulations(first_movers,efficient_producers,X0,X1)
& environment(X0) )
=> in_environment(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_time_point_occur) ).
fof(f8,conjecture,
! [X0,X1] :
( ( constant(number_of_organizations(X0,X1))
& subpopulations(first_movers,efficient_producers,X0,X1)
& environment(X0) )
=> ( ( greater(zero,growth_rate(first_movers,X1))
& greater(growth_rate(efficient_producers,X1),zero) )
| ( greater(zero,growth_rate(efficient_producers,X1))
& greater(growth_rate(first_movers,X1),zero) )
| ( growth_rate(efficient_producers,X1) = zero
& growth_rate(first_movers,X1) = zero ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l7) ).
fof(f9,negated_conjecture,
~ ! [X0,X1] :
( ( constant(number_of_organizations(X0,X1))
& subpopulations(first_movers,efficient_producers,X0,X1)
& environment(X0) )
=> ( ( greater(zero,growth_rate(first_movers,X1))
& greater(growth_rate(efficient_producers,X1),zero) )
| ( greater(zero,growth_rate(efficient_producers,X1))
& greater(growth_rate(first_movers,X1),zero) )
| ( growth_rate(efficient_producers,X1) = zero
& growth_rate(first_movers,X1) = zero ) ) ),
inference(negated_conjecture,[status(cth)],[f8]) ).
fof(f10,plain,
! [X0,X1,X2] :
( ( greater(cardinality_at_time(X1,X2),zero)
& first_movers != X1
& efficient_producers != X1 )
| ~ subpopulation(X1,X0,X2)
| ~ environment(X0)
| number_of_organizations(X0,X2) = sum(cardinality_at_time(first_movers,X2),cardinality_at_time(efficient_producers,X2)) ),
inference(ennf_transformation,[],[f1]) ).
fof(f11,plain,
! [X0,X1,X2] :
( ( greater(cardinality_at_time(X1,X2),zero)
& first_movers != X1
& efficient_producers != X1 )
| ~ subpopulation(X1,X0,X2)
| ~ environment(X0)
| number_of_organizations(X0,X2) = sum(cardinality_at_time(first_movers,X2),cardinality_at_time(efficient_producers,X2)) ),
inference(flattening,[],[f10]) ).
fof(f12,plain,
! [X0,X1] :
( ~ in_environment(X0,X1)
| ~ environment(X0)
| ( subpopulation(efficient_producers,X0,X1)
& subpopulation(first_movers,X0,X1) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f13,plain,
! [X0,X1] :
( ~ in_environment(X0,X1)
| ~ environment(X0)
| ( subpopulation(efficient_producers,X0,X1)
& subpopulation(first_movers,X0,X1) ) ),
inference(flattening,[],[f12]) ).
fof(f14,plain,
! [X0,X1,X2] :
( ~ constant(X0)
| sum(X1,X2) != X0
| ( increases(X2)
& decreases(X1) )
| ( decreases(X2)
& increases(X1) )
| ( constant(X2)
& constant(X1) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f15,plain,
! [X0,X1,X2] :
( ~ constant(X0)
| sum(X1,X2) != X0
| ( increases(X2)
& decreases(X1) )
| ( decreases(X2)
& increases(X1) )
| ( constant(X2)
& constant(X1) ) ),
inference(flattening,[],[f14]) ).
fof(f16,plain,
! [X0,X1,X2] :
( ~ greater(cardinality_at_time(X0,X2),zero)
| ~ subpopulation(X0,X1,X2)
| ~ in_environment(X1,X2)
| ~ environment(X1)
| ( ( ~ decreases(cardinality_at_time(X0,X2))
| greater(zero,growth_rate(X0,X2)) )
& ( ~ increases(cardinality_at_time(X0,X2))
| greater(growth_rate(X0,X2),zero) )
& ( ~ constant(cardinality_at_time(X0,X2))
| growth_rate(X0,X2) = zero ) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f17,plain,
! [X0,X1,X2] :
( ~ greater(cardinality_at_time(X0,X2),zero)
| ~ subpopulation(X0,X1,X2)
| ~ in_environment(X1,X2)
| ~ environment(X1)
| ( ( ~ decreases(cardinality_at_time(X0,X2))
| greater(zero,growth_rate(X0,X2)) )
& ( ~ increases(cardinality_at_time(X0,X2))
| greater(growth_rate(X0,X2),zero) )
& ( ~ constant(cardinality_at_time(X0,X2))
| growth_rate(X0,X2) = zero ) ) ),
inference(flattening,[],[f16]) ).
fof(f18,plain,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| ( greater(cardinality_at_time(efficient_producers,X1),zero)
& greater(cardinality_at_time(first_movers,X1),zero) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f19,plain,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| ( greater(cardinality_at_time(efficient_producers,X1),zero)
& greater(cardinality_at_time(first_movers,X1),zero) ) ),
inference(flattening,[],[f18]) ).
fof(f20,plain,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| in_environment(X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f21,plain,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| in_environment(X0,X1) ),
inference(flattening,[],[f20]) ).
fof(f24,plain,
? [X0,X1] :
( constant(number_of_organizations(X0,X1))
& subpopulations(first_movers,efficient_producers,X0,X1)
& environment(X0)
& ( ~ greater(zero,growth_rate(first_movers,X1))
| ~ greater(growth_rate(efficient_producers,X1),zero) )
& ( ~ greater(zero,growth_rate(efficient_producers,X1))
| ~ greater(growth_rate(first_movers,X1),zero) )
& ( zero != growth_rate(efficient_producers,X1)
| zero != growth_rate(first_movers,X1) ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f25,plain,
? [X0,X1] :
( constant(number_of_organizations(X0,X1))
& subpopulations(first_movers,efficient_producers,X0,X1)
& environment(X0)
& ( ~ greater(zero,growth_rate(first_movers,X1))
| ~ greater(growth_rate(efficient_producers,X1),zero) )
& ( ~ greater(zero,growth_rate(efficient_producers,X1))
| ~ greater(growth_rate(first_movers,X1),zero) )
& ( zero != growth_rate(efficient_producers,X1)
| zero != growth_rate(first_movers,X1) ) ),
inference(flattening,[],[f24]) ).
fof(f26,plain,
( constant(number_of_organizations(sK0,sK1))
& subpopulations(first_movers,efficient_producers,sK0,sK1)
& environment(sK0)
& ( ~ greater(zero,growth_rate(first_movers,sK1))
| ~ greater(growth_rate(efficient_producers,sK1),zero) )
& ( ~ greater(zero,growth_rate(efficient_producers,sK1))
| ~ greater(growth_rate(first_movers,sK1),zero) )
& ( zero != growth_rate(efficient_producers,sK1)
| zero != growth_rate(first_movers,sK1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f25]) ).
fof(f29,plain,
! [X2,X0,X1] :
( efficient_producers != X1
| ~ subpopulation(X1,X0,X2)
| ~ environment(X0)
| number_of_organizations(X0,X2) = sum(cardinality_at_time(first_movers,X2),cardinality_at_time(efficient_producers,X2)) ),
inference(cnf_transformation,[],[f11]) ).
fof(f30,plain,
! [X0,X1] :
( ~ in_environment(X0,X1)
| ~ environment(X0)
| subpopulation(efficient_producers,X0,X1) ),
inference(cnf_transformation,[],[f13]) ).
fof(f31,plain,
! [X0,X1] :
( ~ in_environment(X0,X1)
| ~ environment(X0)
| subpopulation(first_movers,X0,X1) ),
inference(cnf_transformation,[],[f13]) ).
fof(f32,plain,
! [X2,X0,X1] :
( ~ constant(X0)
| sum(X1,X2) != X0
| increases(X2)
| decreases(X2)
| constant(X2) ),
inference(cnf_transformation,[],[f15]) ).
fof(f34,plain,
! [X2,X0,X1] :
( ~ constant(X0)
| sum(X1,X2) != X0
| increases(X2)
| increases(X1)
| constant(X2) ),
inference(cnf_transformation,[],[f15]) ).
fof(f35,plain,
! [X2,X0,X1] :
( ~ constant(X0)
| sum(X1,X2) != X0
| decreases(X1)
| increases(X1)
| constant(X2) ),
inference(cnf_transformation,[],[f15]) ).
fof(f36,plain,
! [X2,X0,X1] :
( ~ constant(X0)
| sum(X1,X2) != X0
| increases(X2)
| decreases(X2)
| constant(X1) ),
inference(cnf_transformation,[],[f15]) ).
fof(f37,plain,
! [X2,X0,X1] :
( ~ constant(X0)
| sum(X1,X2) != X0
| decreases(X1)
| decreases(X2)
| constant(X1) ),
inference(cnf_transformation,[],[f15]) ).
fof(f38,plain,
! [X2,X0,X1] :
( ~ constant(X0)
| sum(X1,X2) != X0
| increases(X2)
| increases(X1)
| constant(X1) ),
inference(cnf_transformation,[],[f15]) ).
fof(f39,plain,
! [X2,X0,X1] :
( ~ constant(X0)
| sum(X1,X2) != X0
| decreases(X1)
| increases(X1)
| constant(X1) ),
inference(cnf_transformation,[],[f15]) ).
fof(f40,plain,
! [X2,X0,X1] :
( ~ greater(cardinality_at_time(X0,X2),zero)
| ~ subpopulation(X0,X1,X2)
| ~ in_environment(X1,X2)
| ~ environment(X1)
| ~ decreases(cardinality_at_time(X0,X2))
| greater(zero,growth_rate(X0,X2)) ),
inference(cnf_transformation,[],[f17]) ).
fof(f41,plain,
! [X2,X0,X1] :
( ~ greater(cardinality_at_time(X0,X2),zero)
| ~ subpopulation(X0,X1,X2)
| ~ in_environment(X1,X2)
| ~ environment(X1)
| ~ increases(cardinality_at_time(X0,X2))
| greater(growth_rate(X0,X2),zero) ),
inference(cnf_transformation,[],[f17]) ).
fof(f42,plain,
! [X2,X0,X1] :
( ~ greater(cardinality_at_time(X0,X2),zero)
| ~ subpopulation(X0,X1,X2)
| ~ in_environment(X1,X2)
| ~ environment(X1)
| ~ constant(cardinality_at_time(X0,X2))
| zero = growth_rate(X0,X2) ),
inference(cnf_transformation,[],[f17]) ).
fof(f43,plain,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| greater(cardinality_at_time(efficient_producers,X1),zero) ),
inference(cnf_transformation,[],[f19]) ).
fof(f44,plain,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| greater(cardinality_at_time(first_movers,X1),zero) ),
inference(cnf_transformation,[],[f19]) ).
fof(f45,plain,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| in_environment(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f47,plain,
constant(number_of_organizations(sK0,sK1)),
inference(cnf_transformation,[],[f26]) ).
fof(f48,plain,
subpopulations(first_movers,efficient_producers,sK0,sK1),
inference(cnf_transformation,[],[f26]) ).
fof(f49,plain,
environment(sK0),
inference(cnf_transformation,[],[f26]) ).
fof(f50,plain,
( ~ greater(zero,growth_rate(first_movers,sK1))
| ~ greater(growth_rate(efficient_producers,sK1),zero) ),
inference(cnf_transformation,[],[f26]) ).
fof(f51,plain,
( ~ greater(zero,growth_rate(efficient_producers,sK1))
| ~ greater(growth_rate(first_movers,sK1),zero) ),
inference(cnf_transformation,[],[f26]) ).
fof(f52,plain,
( zero != growth_rate(efficient_producers,sK1)
| zero != growth_rate(first_movers,sK1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f53,plain,
! [X2,X0] :
( ~ subpopulation(efficient_producers,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,[],[f29]) ).
fof(f55,plain,
! [X2,X1] :
( ~ constant(sum(X1,X2))
| decreases(X1)
| increases(X1)
| constant(X1) ),
inference(equality_resolution,[],[f39]) ).
fof(f56,plain,
! [X2,X1] :
( ~ constant(sum(X1,X2))
| increases(X2)
| increases(X1)
| constant(X1) ),
inference(equality_resolution,[],[f38]) ).
fof(f57,plain,
! [X2,X1] :
( ~ constant(sum(X1,X2))
| decreases(X1)
| decreases(X2)
| constant(X1) ),
inference(equality_resolution,[],[f37]) ).
fof(f58,plain,
! [X2,X1] :
( ~ constant(sum(X1,X2))
| increases(X2)
| decreases(X2)
| constant(X1) ),
inference(equality_resolution,[],[f36]) ).
fof(f59,plain,
! [X2,X1] :
( ~ constant(sum(X1,X2))
| decreases(X1)
| increases(X1)
| constant(X2) ),
inference(equality_resolution,[],[f35]) ).
fof(f60,plain,
! [X2,X1] :
( ~ constant(sum(X1,X2))
| increases(X2)
| increases(X1)
| constant(X2) ),
inference(equality_resolution,[],[f34]) ).
fof(f62,plain,
! [X2,X1] :
( ~ constant(sum(X1,X2))
| increases(X2)
| decreases(X2)
| constant(X2) ),
inference(equality_resolution,[],[f32]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i] :
( ( sum(cardinality_at_time(first_movers,X1),cardinality_at_time(efficient_producers,X1)) = number_of_organizations(X0,X1) )
| ~ environment(X0)
| ~ subpopulation(efficient_producers,X0,X1) ),
inference(cnf_transformation,[],[f53]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i] :
( subpopulation(first_movers,X0,X1)
| ~ environment(X0)
| ~ in_environment(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i] :
( subpopulation(efficient_producers,X0,X1)
| ~ environment(X0)
| ~ in_environment(X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i] :
( decreases(X0)
| increases(X0)
| constant(X0)
| ~ constant(sum(X0,X1)) ),
inference(cnf_transformation,[],[f55]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i] :
( increases(X1)
| increases(X0)
| constant(X0)
| ~ constant(sum(X0,X1)) ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i] :
( decreases(X1)
| decreases(X0)
| constant(X0)
| ~ constant(sum(X0,X1)) ),
inference(cnf_transformation,[],[f57]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] :
( decreases(X1)
| increases(X1)
| constant(X0)
| ~ constant(sum(X0,X1)) ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i] :
( decreases(X0)
| increases(X0)
| constant(X1)
| ~ constant(sum(X0,X1)) ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i] :
( increases(X1)
| increases(X0)
| constant(X1)
| ~ constant(sum(X0,X1)) ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i] :
( decreases(X1)
| increases(X1)
| constant(X1)
| ~ constant(sum(X0,X1)) ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( growth_rate(X0,X1) = zero )
| ~ environment(X2)
| ~ in_environment(X2,X1)
| ~ constant(cardinality_at_time(X0,X1))
| ~ subpopulation(X0,X2,X1)
| ~ greater(cardinality_at_time(X0,X1),zero) ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i,X2: $i] :
( greater(growth_rate(X0,X1),zero)
| ~ environment(X2)
| ~ in_environment(X2,X1)
| ~ increases(cardinality_at_time(X0,X1))
| ~ subpopulation(X0,X2,X1)
| ~ greater(cardinality_at_time(X0,X1),zero) ),
inference(cnf_transformation,[],[f41]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i] :
( greater(zero,growth_rate(X0,X1))
| ~ environment(X2)
| ~ in_environment(X2,X1)
| ~ decreases(cardinality_at_time(X0,X1))
| ~ subpopulation(X0,X2,X1)
| ~ greater(cardinality_at_time(X0,X1),zero) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i] :
( greater(cardinality_at_time(first_movers,X1),zero)
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i] :
( greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(cnf_transformation,[],[f43]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i] :
( in_environment(X0,X1)
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
tcf(c_69,negated_conjecture,
( ( growth_rate(efficient_producers,sK1) != zero )
| ( growth_rate(first_movers,sK1) != zero ) ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_70,negated_conjecture,
( ~ greater(zero,growth_rate(efficient_producers,sK1))
| ~ greater(growth_rate(first_movers,sK1),zero) ),
inference(cnf_transformation,[],[f51]) ).
tcf(c_71,negated_conjecture,
( ~ greater(zero,growth_rate(first_movers,sK1))
| ~ greater(growth_rate(efficient_producers,sK1),zero) ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_72,negated_conjecture,
environment(sK0),
inference(cnf_transformation,[],[f49]) ).
tcf(c_73,negated_conjecture,
subpopulations(first_movers,efficient_producers,sK0,sK1),
inference(cnf_transformation,[],[f48]) ).
tcf(c_74,negated_conjecture,
constant(number_of_organizations(sK0,sK1)),
inference(cnf_transformation,[],[f47]) ).
tcf(c_450,plain,
! [X0: $i,X1: $i] :
( in_environment(X0,X1)
| ~ environment(X0)
| ( efficient_producers != efficient_producers )
| ( first_movers != first_movers )
| ( X1 != sK1 )
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_67,c_73]) ).
tcf(c_451,plain,
( in_environment(sK0,sK1)
| ~ environment(sK0) ),
inference(unflattening,[status(thm)],[c_450]) ).
tcf(c_452,plain,
in_environment(sK0,sK1),
inference(global_subsumption_just,[status(thm)],[c_451,c_72,c_451]) ).
tcf(c_457,plain,
! [X0: $i,X1: $i] :
( greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ environment(X0)
| ( efficient_producers != efficient_producers )
| ( first_movers != first_movers )
| ( X1 != sK1 )
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_66,c_73]) ).
tcf(c_458,plain,
( greater(cardinality_at_time(efficient_producers,sK1),zero)
| ~ environment(sK0) ),
inference(unflattening,[status(thm)],[c_457]) ).
tcf(c_464,plain,
! [X0: $i,X1: $i] :
( greater(cardinality_at_time(first_movers,X1),zero)
| ~ environment(X0)
| ( efficient_producers != efficient_producers )
| ( first_movers != first_movers )
| ( X1 != sK1 )
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_65,c_73]) ).
tcf(c_465,plain,
( greater(cardinality_at_time(first_movers,sK1),zero)
| ~ environment(sK0) ),
inference(unflattening,[status(thm)],[c_464]) ).
tcf(c_474,plain,
! [X0: $i,X1: $i] :
( subpopulation(efficient_producers,X0,X1)
| ~ environment(X0)
| ( X1 != sK1 )
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_53,c_452]) ).
tcf(c_475,plain,
( subpopulation(efficient_producers,sK0,sK1)
| ~ environment(sK0) ),
inference(unflattening,[status(thm)],[c_474]) ).
tcf(c_476,plain,
subpopulation(efficient_producers,sK0,sK1),
inference(global_subsumption_just,[status(thm)],[c_475,c_72,c_475]) ).
tcf(c_481,plain,
! [X0: $i,X1: $i] :
( subpopulation(first_movers,X0,X1)
| ~ environment(X0)
| ( X1 != sK1 )
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_52,c_452]) ).
tcf(c_482,plain,
( subpopulation(first_movers,sK0,sK1)
| ~ environment(sK0) ),
inference(unflattening,[status(thm)],[c_481]) ).
tcf(c_483,plain,
subpopulation(first_movers,sK0,sK1),
inference(global_subsumption_just,[status(thm)],[c_482,c_72,c_482]) ).
tcf(c_488,plain,
! [X0: $i,X1: $i,X2: $i] :
( greater(zero,growth_rate(X2,X0))
| ~ environment(X1)
| ~ decreases(cardinality_at_time(X2,X0))
| ~ subpopulation(X2,X1,X0)
| ~ greater(cardinality_at_time(X2,X0),zero)
| ( X1 != sK0 )
| ( X0 != sK1 ) ),
inference(resolution_lifted,[status(thm)],[c_64,c_452]) ).
tcf(c_489,plain,
! [X0: $i] :
( greater(zero,growth_rate(X0,sK1))
| ~ environment(sK0)
| ~ decreases(cardinality_at_time(X0,sK1))
| ~ subpopulation(X0,sK0,sK1)
| ~ greater(cardinality_at_time(X0,sK1),zero) ),
inference(unflattening,[status(thm)],[c_488]) ).
tcf(c_491,plain,
! [X0: $i] :
( greater(zero,growth_rate(X0,sK1))
| ~ greater(cardinality_at_time(X0,sK1),zero)
| ~ subpopulation(X0,sK0,sK1)
| ~ decreases(cardinality_at_time(X0,sK1)) ),
inference(global_subsumption_just,[status(thm)],[c_489,c_72,c_489]) ).
tcf(c_492,plain,
! [X0: $i] :
( greater(zero,growth_rate(X0,sK1))
| ~ decreases(cardinality_at_time(X0,sK1))
| ~ subpopulation(X0,sK0,sK1)
| ~ greater(cardinality_at_time(X0,sK1),zero) ),
inference(renaming,[status(thm)],[c_491]) ).
tcf(c_506,plain,
! [X0: $i,X1: $i,X2: $i] :
( greater(growth_rate(X2,X0),zero)
| ~ environment(X1)
| ~ increases(cardinality_at_time(X2,X0))
| ~ subpopulation(X2,X1,X0)
| ~ greater(cardinality_at_time(X2,X0),zero)
| ( X1 != sK0 )
| ( X0 != sK1 ) ),
inference(resolution_lifted,[status(thm)],[c_63,c_452]) ).
tcf(c_507,plain,
! [X0: $i] :
( greater(growth_rate(X0,sK1),zero)
| ~ environment(sK0)
| ~ increases(cardinality_at_time(X0,sK1))
| ~ subpopulation(X0,sK0,sK1)
| ~ greater(cardinality_at_time(X0,sK1),zero) ),
inference(unflattening,[status(thm)],[c_506]) ).
tcf(c_509,plain,
! [X0: $i] :
( greater(growth_rate(X0,sK1),zero)
| ~ greater(cardinality_at_time(X0,sK1),zero)
| ~ subpopulation(X0,sK0,sK1)
| ~ increases(cardinality_at_time(X0,sK1)) ),
inference(global_subsumption_just,[status(thm)],[c_507,c_72,c_507]) ).
tcf(c_510,plain,
! [X0: $i] :
( greater(growth_rate(X0,sK1),zero)
| ~ increases(cardinality_at_time(X0,sK1))
| ~ subpopulation(X0,sK0,sK1)
| ~ greater(cardinality_at_time(X0,sK1),zero) ),
inference(renaming,[status(thm)],[c_509]) ).
tcf(c_524,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( growth_rate(X2,X0) = zero )
| ~ environment(X1)
| ~ constant(cardinality_at_time(X2,X0))
| ~ subpopulation(X2,X1,X0)
| ~ greater(cardinality_at_time(X2,X0),zero)
| ( X1 != sK0 )
| ( X0 != sK1 ) ),
inference(resolution_lifted,[status(thm)],[c_62,c_452]) ).
tcf(c_525,plain,
! [X0: $i] :
( ( growth_rate(X0,sK1) = zero )
| ~ environment(sK0)
| ~ constant(cardinality_at_time(X0,sK1))
| ~ subpopulation(X0,sK0,sK1)
| ~ greater(cardinality_at_time(X0,sK1),zero) ),
inference(unflattening,[status(thm)],[c_524]) ).
tcf(c_527,plain,
! [X0: $i] :
( ( growth_rate(X0,sK1) = zero )
| ~ greater(cardinality_at_time(X0,sK1),zero)
| ~ subpopulation(X0,sK0,sK1)
| ~ constant(cardinality_at_time(X0,sK1)) ),
inference(global_subsumption_just,[status(thm)],[c_525,c_72,c_525]) ).
tcf(c_528,plain,
! [X0: $i] :
( ( growth_rate(X0,sK1) = zero )
| ~ constant(cardinality_at_time(X0,sK1))
| ~ subpopulation(X0,sK0,sK1)
| ~ greater(cardinality_at_time(X0,sK1),zero) ),
inference(renaming,[status(thm)],[c_527]) ).
tcf(c_565,plain,
! [X0: $i,X1: $i] :
( ( sum(cardinality_at_time(first_movers,X1),cardinality_at_time(efficient_producers,X1)) = number_of_organizations(X0,X1) )
| ~ subpopulation(efficient_producers,X0,X1)
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_49,c_72]) ).
tcf(c_566,plain,
! [X0: $i] :
( ( sum(cardinality_at_time(first_movers,X0),cardinality_at_time(efficient_producers,X0)) = number_of_organizations(sK0,X0) )
| ~ subpopulation(efficient_producers,sK0,X0) ),
inference(unflattening,[status(thm)],[c_565]) ).
tcf(c_612,plain,
! [X0: $i] :
( ( growth_rate(X0,sK1) = zero )
| ~ constant(cardinality_at_time(X0,sK1))
| ~ greater(cardinality_at_time(X0,sK1),zero)
| ( sK0 != sK0 )
| ( sK1 != sK1 )
| ( X0 != efficient_producers ) ),
inference(resolution_lifted,[status(thm)],[c_476,c_528]) ).
tcf(c_613,plain,
( ( growth_rate(efficient_producers,sK1) = zero )
| ~ constant(cardinality_at_time(efficient_producers,sK1))
| ~ greater(cardinality_at_time(efficient_producers,sK1),zero) ),
inference(unflattening,[status(thm)],[c_612]) ).
tcf(c_614,plain,
( ( growth_rate(efficient_producers,sK1) = zero )
| ~ constant(cardinality_at_time(efficient_producers,sK1)) ),
inference(global_subsumption_just,[status(thm)],[c_613,c_72,c_458,c_613]) ).
tcf(c_622,plain,
! [X0: $i] :
( greater(growth_rate(X0,sK1),zero)
| ~ increases(cardinality_at_time(X0,sK1))
| ~ greater(cardinality_at_time(X0,sK1),zero)
| ( sK0 != sK0 )
| ( sK1 != sK1 )
| ( X0 != efficient_producers ) ),
inference(resolution_lifted,[status(thm)],[c_476,c_510]) ).
tcf(c_623,plain,
( greater(growth_rate(efficient_producers,sK1),zero)
| ~ increases(cardinality_at_time(efficient_producers,sK1))
| ~ greater(cardinality_at_time(efficient_producers,sK1),zero) ),
inference(unflattening,[status(thm)],[c_622]) ).
tcf(c_624,plain,
( greater(growth_rate(efficient_producers,sK1),zero)
| ~ increases(cardinality_at_time(efficient_producers,sK1)) ),
inference(global_subsumption_just,[status(thm)],[c_623,c_72,c_458,c_623]) ).
tcf(c_632,plain,
! [X0: $i] :
( greater(zero,growth_rate(X0,sK1))
| ~ decreases(cardinality_at_time(X0,sK1))
| ~ greater(cardinality_at_time(X0,sK1),zero)
| ( sK0 != sK0 )
| ( sK1 != sK1 )
| ( X0 != efficient_producers ) ),
inference(resolution_lifted,[status(thm)],[c_476,c_492]) ).
tcf(c_633,plain,
( greater(zero,growth_rate(efficient_producers,sK1))
| ~ decreases(cardinality_at_time(efficient_producers,sK1))
| ~ greater(cardinality_at_time(efficient_producers,sK1),zero) ),
inference(unflattening,[status(thm)],[c_632]) ).
tcf(c_634,plain,
( greater(zero,growth_rate(efficient_producers,sK1))
| ~ decreases(cardinality_at_time(efficient_producers,sK1)) ),
inference(global_subsumption_just,[status(thm)],[c_633,c_72,c_458,c_633]) ).
tcf(c_650,plain,
! [X0: $i] :
( ( sum(cardinality_at_time(first_movers,X0),cardinality_at_time(efficient_producers,X0)) = number_of_organizations(sK0,X0) )
| ( sK0 != sK0 )
| ( efficient_producers != efficient_producers )
| ( X0 != sK1 ) ),
inference(resolution_lifted,[status(thm)],[c_476,c_566]) ).
tcf(c_651,plain,
sum(cardinality_at_time(first_movers,sK1),cardinality_at_time(efficient_producers,sK1)) = number_of_organizations(sK0,sK1),
inference(unflattening,[status(thm)],[c_650]) ).
tcf(c_659,plain,
! [X0: $i] :
( ( growth_rate(X0,sK1) = zero )
| ~ constant(cardinality_at_time(X0,sK1))
| ~ greater(cardinality_at_time(X0,sK1),zero)
| ( sK0 != sK0 )
| ( sK1 != sK1 )
| ( X0 != first_movers ) ),
inference(resolution_lifted,[status(thm)],[c_483,c_528]) ).
tcf(c_660,plain,
( ( growth_rate(first_movers,sK1) = zero )
| ~ constant(cardinality_at_time(first_movers,sK1))
| ~ greater(cardinality_at_time(first_movers,sK1),zero) ),
inference(unflattening,[status(thm)],[c_659]) ).
tcf(c_661,plain,
( ( growth_rate(first_movers,sK1) = zero )
| ~ constant(cardinality_at_time(first_movers,sK1)) ),
inference(global_subsumption_just,[status(thm)],[c_660,c_72,c_465,c_660]) ).
tcf(c_669,plain,
! [X0: $i] :
( greater(growth_rate(X0,sK1),zero)
| ~ increases(cardinality_at_time(X0,sK1))
| ~ greater(cardinality_at_time(X0,sK1),zero)
| ( sK0 != sK0 )
| ( sK1 != sK1 )
| ( X0 != first_movers ) ),
inference(resolution_lifted,[status(thm)],[c_483,c_510]) ).
tcf(c_670,plain,
( greater(growth_rate(first_movers,sK1),zero)
| ~ increases(cardinality_at_time(first_movers,sK1))
| ~ greater(cardinality_at_time(first_movers,sK1),zero) ),
inference(unflattening,[status(thm)],[c_669]) ).
tcf(c_671,plain,
( greater(growth_rate(first_movers,sK1),zero)
| ~ increases(cardinality_at_time(first_movers,sK1)) ),
inference(global_subsumption_just,[status(thm)],[c_670,c_72,c_465,c_670]) ).
tcf(c_679,plain,
! [X0: $i] :
( greater(zero,growth_rate(X0,sK1))
| ~ decreases(cardinality_at_time(X0,sK1))
| ~ greater(cardinality_at_time(X0,sK1),zero)
| ( sK0 != sK0 )
| ( sK1 != sK1 )
| ( X0 != first_movers ) ),
inference(resolution_lifted,[status(thm)],[c_483,c_492]) ).
tcf(c_680,plain,
( greater(zero,growth_rate(first_movers,sK1))
| ~ decreases(cardinality_at_time(first_movers,sK1))
| ~ greater(cardinality_at_time(first_movers,sK1),zero) ),
inference(unflattening,[status(thm)],[c_679]) ).
tcf(c_681,plain,
( greater(zero,growth_rate(first_movers,sK1))
| ~ decreases(cardinality_at_time(first_movers,sK1)) ),
inference(global_subsumption_just,[status(thm)],[c_680,c_72,c_465,c_680]) ).
tcf(c_927,definition,
iPr_def_10 = cardinality_at_time(first_movers,sK1),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_928,definition,
iPr_def_11 = growth_rate(first_movers,sK1),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_929,definition,
iPr_def_12 = cardinality_at_time(efficient_producers,sK1),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_930,definition,
iPr_def_13 = sum(iPr_def_10,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_931,definition,
iPr_def_14 = number_of_organizations(sK0,sK1),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_932,definition,
iPr_def_15 = growth_rate(efficient_producers,sK1),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_933,plain,
( greater(zero,iPr_def_11)
| ~ decreases(iPr_def_10) ),
inference(demodulation,[status(thm)],[c_681,c_928,c_927]) ).
tcf(c_934,plain,
( greater(iPr_def_11,zero)
| ~ increases(iPr_def_10) ),
inference(demodulation,[status(thm)],[c_671]) ).
tcf(c_935,plain,
( ( iPr_def_11 = zero )
| ~ constant(iPr_def_10) ),
inference(demodulation,[status(thm)],[c_661]) ).
tcf(c_936,plain,
iPr_def_13 = iPr_def_14,
inference(demodulation,[status(thm)],[c_651,c_931,c_929,c_930]) ).
tcf(c_937,plain,
( greater(zero,iPr_def_15)
| ~ decreases(iPr_def_12) ),
inference(demodulation,[status(thm)],[c_634,c_932]) ).
tcf(c_938,plain,
( greater(iPr_def_15,zero)
| ~ increases(iPr_def_12) ),
inference(demodulation,[status(thm)],[c_624]) ).
tcf(c_939,plain,
( ( iPr_def_15 = zero )
| ~ constant(iPr_def_12) ),
inference(demodulation,[status(thm)],[c_614]) ).
tcf(c_942,negated_conjecture,
constant(iPr_def_14),
inference(demodulation,[status(thm)],[c_74]) ).
tcf(c_943,negated_conjecture,
( ~ greater(iPr_def_15,zero)
| ~ greater(zero,iPr_def_11) ),
inference(demodulation,[status(thm)],[c_71]) ).
tcf(c_944,negated_conjecture,
( ~ greater(iPr_def_11,zero)
| ~ greater(zero,iPr_def_15) ),
inference(demodulation,[status(thm)],[c_70]) ).
tcf(c_945,negated_conjecture,
( ( iPr_def_15 != zero )
| ( iPr_def_11 != zero ) ),
inference(demodulation,[status(thm)],[c_69]) ).
tcf(c_1321,plain,
constant(iPr_def_13),
inference(light_normalisation,[status(thm)],[c_942,c_936]) ).
tcf(c_1341,plain,
( ~ increases(iPr_def_10)
| ~ greater(zero,iPr_def_15) ),
inference(superposition,[status(thm)],[c_934,c_944]) ).
tcf(c_1352,plain,
( ~ increases(iPr_def_12)
| ~ greater(zero,iPr_def_11) ),
inference(superposition,[status(thm)],[c_938,c_943]) ).
tcf(c_1359,plain,
( ~ decreases(iPr_def_12)
| ~ increases(iPr_def_10) ),
inference(superposition,[status(thm)],[c_937,c_1341]) ).
tcf(c_1366,plain,
( ~ decreases(iPr_def_10)
| ~ increases(iPr_def_12) ),
inference(superposition,[status(thm)],[c_933,c_1352]) ).
tcf(c_1393,plain,
( decreases(iPr_def_10)
| increases(iPr_def_10)
| constant(iPr_def_10)
| ~ constant(iPr_def_13) ),
inference(superposition,[status(thm)],[c_930,c_54]) ).
tcf(c_1394,plain,
( decreases(iPr_def_10)
| increases(iPr_def_10)
| constant(iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1393,c_1321]) ).
tcf(c_1404,plain,
( increases(iPr_def_10)
| constant(iPr_def_10)
| ~ increases(iPr_def_12) ),
inference(superposition,[status(thm)],[c_1394,c_1366]) ).
tcf(c_1416,plain,
( increases(iPr_def_12)
| increases(iPr_def_10)
| constant(iPr_def_10)
| ~ constant(iPr_def_13) ),
inference(superposition,[status(thm)],[c_930,c_55]) ).
tcf(c_1417,plain,
( increases(iPr_def_12)
| increases(iPr_def_10)
| constant(iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1416,c_1321]) ).
tcf(c_1429,plain,
( decreases(iPr_def_12)
| decreases(iPr_def_10)
| constant(iPr_def_10)
| ~ constant(iPr_def_13) ),
inference(superposition,[status(thm)],[c_930,c_56]) ).
tcf(c_1430,plain,
( decreases(iPr_def_12)
| decreases(iPr_def_10)
| constant(iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1429,c_1321]) ).
tcf(c_1442,plain,
( decreases(iPr_def_12)
| increases(iPr_def_12)
| constant(iPr_def_10)
| ~ constant(iPr_def_13) ),
inference(superposition,[status(thm)],[c_930,c_57]) ).
tcf(c_1443,plain,
( decreases(iPr_def_12)
| increases(iPr_def_12)
| constant(iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1442,c_1321]) ).
tcf(c_1455,plain,
( decreases(iPr_def_10)
| increases(iPr_def_10)
| constant(iPr_def_12)
| ~ constant(iPr_def_13) ),
inference(superposition,[status(thm)],[c_930,c_58]) ).
tcf(c_1456,plain,
( decreases(iPr_def_10)
| increases(iPr_def_10)
| constant(iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1455,c_1321]) ).
tcf(c_1468,plain,
( increases(iPr_def_12)
| increases(iPr_def_10)
| constant(iPr_def_12)
| ~ constant(iPr_def_13) ),
inference(superposition,[status(thm)],[c_930,c_59]) ).
tcf(c_1469,plain,
( increases(iPr_def_12)
| increases(iPr_def_10)
| constant(iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1468,c_1321]) ).
tcf(c_1473,plain,
( increases(iPr_def_12)
| increases(iPr_def_10) ),
inference(global_subsumption_just,[status(thm)],[c_1417,c_935,c_939,c_945,c_1366,c_1404,c_1417,c_1456,c_1469]) ).
tcf(c_1475,plain,
increases(iPr_def_10),
inference(global_subsumption_just,[status(thm)],[c_1473,c_935,c_939,c_945,c_1366,c_1404,c_1456,c_1473]) ).
tcf(c_1477,plain,
~ decreases(iPr_def_12),
inference(backward_subsumption_resolution,[status(thm)],[c_1359,c_1475]) ).
tcf(c_1479,plain,
greater(iPr_def_11,zero),
inference(backward_subsumption_resolution,[status(thm)],[c_934,c_1475]) ).
tcf(c_1480,plain,
constant(iPr_def_10),
inference(global_subsumption_just,[status(thm)],[c_1430,c_935,c_939,c_945,c_1359,c_1366,c_1404,c_1417,c_1430,c_1443,c_1456,c_1469]) ).
tcf(c_1482,plain,
zero = iPr_def_11,
inference(backward_subsumption_resolution,[status(thm)],[c_935,c_1480]) ).
tcf(c_1484,plain,
greater(iPr_def_11,iPr_def_11),
inference(demodulation,[status(thm)],[c_1479,c_1482]) ).
tcf(c_1487,plain,
( greater(iPr_def_15,iPr_def_11)
| ~ increases(iPr_def_12) ),
inference(demodulation,[status(thm)],[c_938,c_1482]) ).
tcf(c_1492,plain,
( ~ greater(iPr_def_15,iPr_def_11)
| ~ greater(iPr_def_11,iPr_def_11) ),
inference(demodulation,[status(thm)],[c_943,c_1482]) ).
tcf(c_1503,plain,
~ greater(iPr_def_15,iPr_def_11),
inference(backward_subsumption_resolution,[status(thm)],[c_1492,c_1484]) ).
tcf(c_1505,plain,
~ increases(iPr_def_12),
inference(backward_subsumption_resolution,[status(thm)],[c_1487,c_1503]) ).
tcf(c_1530,plain,
( decreases(iPr_def_12)
| increases(iPr_def_12)
| constant(iPr_def_12)
| ~ constant(iPr_def_13) ),
inference(superposition,[status(thm)],[c_930,c_61]) ).
tcf(c_1531,plain,
( increases(iPr_def_12)
| constant(iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1530,c_1477,c_1321]) ).
tcf(c_1534,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1531,c_1505,c_1480,c_945,c_939,c_935]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT025+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n018.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Thu Sep 24 01:05:48 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.43 % Proving...
% 2.11/1.27 % SZS status Started for theBenchmark.p
% 2.11/1.27 % SZS status Theorem for theBenchmark.p
% 2.11/1.27
% 2.11/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.11/1.27
% 2.11/1.27 % ------ iProver source info
% 2.11/1.27
% 2.11/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 2.11/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.11/1.27 % git: non_committed_changes: false
% 2.11/1.27
% 2.11/1.27 % ------ Parsing...
% 2.11/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.11/1.27
% 2.11/1.27 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 4 0s sf_e pe_s pe_e %
% 2.11/1.27
% 2.11/1.27 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.11/1.27
% 2.11/1.27 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.11/1.27 % ------ Proving...
% 2.11/1.27 % ------ Problem Properties
% 2.11/1.27
% 2.11/1.27 %
% 2.11/1.27 % clauses 27
% 2.11/1.27 % conjectures 4
% 2.11/1.27 % EPR 13
% 2.11/1.27 % Horn 19
% 2.11/1.27 % unary 10
% 2.11/1.27 % binary 9
% 2.11/1.27 % lits 60
% 2.11/1.27 % lits eq 11
% 2.11/1.27 % fd_pure 0
% 2.11/1.27 % fd_pseudo 0
% 2.11/1.27 % fd_cond 0
% 2.11/1.27 % fd_pseudo_cond 0
% 2.11/1.27 % AC symbols 0
% 2.11/1.27
% 2.11/1.27 % ------ Schedule dynamic 5 is on
% 2.11/1.27
% 2.11/1.27 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.11/1.27
% 2.11/1.27
% 2.11/1.27 % ------
% 2.11/1.27 % Current options:
% 2.11/1.27 % ------
% 2.11/1.27
% 2.11/1.27
% 2.11/1.27 %
% 2.11/1.27
% 2.11/1.27 % ------ Proving...
% 2.11/1.27 %
% 2.11/1.27
% 2.11/1.27 % SZS status Theorem for theBenchmark.p
% 2.11/1.27
% 2.11/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.11/1.28
% 2.11/1.28
%------------------------------------------------------------------------------