TSTP Solution File: MGT033+2 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : MGT033+2 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 09:14:21 EDT 2023
% Result : CounterSatisfiable 198.49s 27.36s
% Output : Saturation 198.49s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X3] :
( ( greater(number_of_organizations(X0,X3),zero)
& environment(X0) )
=> ? [X4] :
( greater(cardinality_at_time(X4,X3),zero)
& subpopulation(X4,X0,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_number_mean_non_empty) ).
fof(f3,axiom,
! [X5,X3] :
( zero = cardinality_at_time(X5,t)
=> ~ greater(cardinality_at_time(X5,X3),zero) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_zero_is_not_positive) ).
fof(f4,axiom,
! [X0,X5,X3] :
( ( greater(appear(X5,X0),X3)
& in_environment(X0,X3)
& environment(X0) )
=> zero = cardinality_at_time(X5,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_not_present_before_appearance) ).
fof(f5,axiom,
! [X0,X3] :
( ( greater(number_of_organizations(X0,X3),zero)
& environment(X0) )
=> in_environment(X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_positive_and_sustains) ).
fof(f6,axiom,
! [X0,X6,X7,X3] :
( ( greater_or_equal(X3,X6)
& greater_or_equal(X7,X3)
& in_environment(X0,X7)
& in_environment(X0,X6)
& environment(X0) )
=> in_environment(X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_durations_are_time_intervals) ).
fof(f7,axiom,
! [X0] :
( environment(X0)
=> in_environment(X0,start_time(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_opening_time_in_duration) ).
fof(f8,axiom,
! [X0] :
( environment(X0)
=> greater_or_equal(appear(first_movers,X0),start_time(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_no_FM_before_opening) ).
fof(f9,axiom,
! [X0] :
( ( in_environment(X0,appear(first_movers,X0))
& environment(X0) )
=> in_environment(X0,appear(an_organisation,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_FM_means_organisations) ).
fof(f10,axiom,
! [X0] :
( environment(X0)
=> greater_or_equal(appear(first_movers,X0),appear(an_organisation,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_FM_not_precede_first) ).
fof(f11,axiom,
! [X0] :
( environment(X0)
=> greater(number_of_organizations(e,appear(an_organisation,X0)),zero) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_positive_number_when_appear) ).
fof(f12,axiom,
! [X0,X3] :
( ( in_environment(X0,X3)
& environment(X0) )
=> ( subpopulation(efficient_producers,X0,X3)
& subpopulation(first_movers,X0,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_subpopulations) ).
fof(f13,axiom,
! [X5,X8,X9] :
( ( greater(X8,X9)
& greater(X5,X8) )
=> greater(X5,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_transitivity) ).
fof(f14,axiom,
! [X5,X8] :
( greater_or_equal(X5,X8)
<=> ( X5 = X8
| greater(X5,X8) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal) ).
fof(f15,axiom,
! [X0,X3] :
( ( greater_or_equal(X3,appear(an_organisation,X0))
& in_environment(X0,X3)
& environment(X0) )
=> greater(number_of_organizations(X0,X3),zero) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1) ).
fof(f16,axiom,
! [X0] :
( environment(X0)
=> greater(appear(efficient_producers,e),appear(first_movers,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a3) ).
fof(f17,axiom,
! [X0,X5,X3] :
( ( greater(cardinality_at_time(X5,X3),zero)
& subpopulation(X5,X0,X3)
& environment(X0) )
=> ( first_movers = X5
| efficient_producers = X5 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a11) ).
fof(f18,conjecture,
! [X0,X3] :
( ( greater(appear(efficient_producers,X0),X3)
& greater_or_equal(X3,appear(first_movers,X0))
& in_environment(X0,X3)
& environment(X0) )
=> selection_favors(first_movers,efficient_producers,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t2) ).
fof(f19,negated_conjecture,
~ ! [X0,X3] :
( ( greater(appear(efficient_producers,X0),X3)
& greater_or_equal(X3,appear(first_movers,X0))
& in_environment(X0,X3)
& environment(X0) )
=> selection_favors(first_movers,efficient_producers,X3) ),
inference(negated_conjecture,[],[f18]) ).
fof(f20,plain,
! [X0,X1] :
( ( greater(number_of_organizations(X0,X1),zero)
& environment(X0) )
=> ? [X2] :
( greater(cardinality_at_time(X2,X1),zero)
& subpopulation(X2,X0,X1) ) ),
inference(rectify,[],[f2]) ).
fof(f21,plain,
! [X0,X1] :
( zero = cardinality_at_time(X0,t)
=> ~ greater(cardinality_at_time(X0,X1),zero) ),
inference(rectify,[],[f3]) ).
fof(f22,plain,
! [X0,X1,X2] :
( ( greater(appear(X1,X0),X2)
& in_environment(X0,X2)
& environment(X0) )
=> zero = cardinality_at_time(X1,X2) ),
inference(rectify,[],[f4]) ).
fof(f23,plain,
! [X0,X1] :
( ( greater(number_of_organizations(X0,X1),zero)
& environment(X0) )
=> in_environment(X0,X1) ),
inference(rectify,[],[f5]) ).
fof(f24,plain,
! [X0,X1,X2,X3] :
( ( greater_or_equal(X3,X1)
& greater_or_equal(X2,X3)
& in_environment(X0,X2)
& in_environment(X0,X1)
& environment(X0) )
=> in_environment(X0,X3) ),
inference(rectify,[],[f6]) ).
fof(f25,plain,
! [X0,X1] :
( ( in_environment(X0,X1)
& environment(X0) )
=> ( subpopulation(efficient_producers,X0,X1)
& subpopulation(first_movers,X0,X1) ) ),
inference(rectify,[],[f12]) ).
fof(f26,plain,
! [X0,X1,X2] :
( ( greater(X1,X2)
& greater(X0,X1) )
=> greater(X0,X2) ),
inference(rectify,[],[f13]) ).
fof(f27,plain,
! [X0,X1] :
( greater_or_equal(X0,X1)
<=> ( X0 = X1
| greater(X0,X1) ) ),
inference(rectify,[],[f14]) ).
fof(f28,plain,
! [X0,X1] :
( ( greater_or_equal(X1,appear(an_organisation,X0))
& in_environment(X0,X1)
& environment(X0) )
=> greater(number_of_organizations(X0,X1),zero) ),
inference(rectify,[],[f15]) ).
fof(f29,plain,
! [X0,X1,X2] :
( ( greater(cardinality_at_time(X1,X2),zero)
& subpopulation(X1,X0,X2)
& environment(X0) )
=> ( first_movers = X1
| efficient_producers = X1 ) ),
inference(rectify,[],[f17]) ).
fof(f30,plain,
~ ! [X0,X1] :
( ( greater(appear(efficient_producers,X0),X1)
& greater_or_equal(X1,appear(first_movers,X0))
& in_environment(X0,X1)
& environment(X0) )
=> selection_favors(first_movers,efficient_producers,X1) ),
inference(rectify,[],[f19]) ).
fof(f33,plain,
! [X0,X1] :
( ? [X2] :
( greater(cardinality_at_time(X2,X1),zero)
& subpopulation(X2,X0,X1) )
| ~ greater(number_of_organizations(X0,X1),zero)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f34,plain,
! [X0,X1] :
( ? [X2] :
( greater(cardinality_at_time(X2,X1),zero)
& subpopulation(X2,X0,X1) )
| ~ greater(number_of_organizations(X0,X1),zero)
| ~ environment(X0) ),
inference(flattening,[],[f33]) ).
fof(f35,plain,
! [X0,X1] :
( ~ greater(cardinality_at_time(X0,X1),zero)
| zero != cardinality_at_time(X0,t) ),
inference(ennf_transformation,[],[f21]) ).
fof(f36,plain,
! [X0,X1,X2] :
( zero = cardinality_at_time(X1,X2)
| ~ greater(appear(X1,X0),X2)
| ~ in_environment(X0,X2)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f37,plain,
! [X0,X1,X2] :
( zero = cardinality_at_time(X1,X2)
| ~ greater(appear(X1,X0),X2)
| ~ in_environment(X0,X2)
| ~ environment(X0) ),
inference(flattening,[],[f36]) ).
fof(f38,plain,
! [X0,X1] :
( in_environment(X0,X1)
| ~ greater(number_of_organizations(X0,X1),zero)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f39,plain,
! [X0,X1] :
( in_environment(X0,X1)
| ~ greater(number_of_organizations(X0,X1),zero)
| ~ environment(X0) ),
inference(flattening,[],[f38]) ).
fof(f40,plain,
! [X0,X1,X2,X3] :
( in_environment(X0,X3)
| ~ greater_or_equal(X3,X1)
| ~ greater_or_equal(X2,X3)
| ~ in_environment(X0,X2)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f41,plain,
! [X0,X1,X2,X3] :
( in_environment(X0,X3)
| ~ greater_or_equal(X3,X1)
| ~ greater_or_equal(X2,X3)
| ~ in_environment(X0,X2)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(flattening,[],[f40]) ).
fof(f42,plain,
! [X0] :
( in_environment(X0,start_time(X0))
| ~ environment(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f43,plain,
! [X0] :
( greater_or_equal(appear(first_movers,X0),start_time(X0))
| ~ environment(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f44,plain,
! [X0] :
( in_environment(X0,appear(an_organisation,X0))
| ~ in_environment(X0,appear(first_movers,X0))
| ~ environment(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f45,plain,
! [X0] :
( in_environment(X0,appear(an_organisation,X0))
| ~ in_environment(X0,appear(first_movers,X0))
| ~ environment(X0) ),
inference(flattening,[],[f44]) ).
fof(f46,plain,
! [X0] :
( greater_or_equal(appear(first_movers,X0),appear(an_organisation,X0))
| ~ environment(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f47,plain,
! [X0] :
( greater(number_of_organizations(e,appear(an_organisation,X0)),zero)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f48,plain,
! [X0,X1] :
( ( subpopulation(efficient_producers,X0,X1)
& subpopulation(first_movers,X0,X1) )
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f49,plain,
! [X0,X1] :
( ( subpopulation(efficient_producers,X0,X1)
& subpopulation(first_movers,X0,X1) )
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(flattening,[],[f48]) ).
fof(f50,plain,
! [X0,X1,X2] :
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ),
inference(ennf_transformation,[],[f26]) ).
fof(f51,plain,
! [X0,X1,X2] :
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ),
inference(flattening,[],[f50]) ).
fof(f52,plain,
! [X0,X1] :
( greater(number_of_organizations(X0,X1),zero)
| ~ greater_or_equal(X1,appear(an_organisation,X0))
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f53,plain,
! [X0,X1] :
( greater(number_of_organizations(X0,X1),zero)
| ~ greater_or_equal(X1,appear(an_organisation,X0))
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(flattening,[],[f52]) ).
fof(f54,plain,
! [X0] :
( greater(appear(efficient_producers,e),appear(first_movers,X0))
| ~ environment(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f55,plain,
! [X0,X1,X2] :
( first_movers = X1
| efficient_producers = X1
| ~ greater(cardinality_at_time(X1,X2),zero)
| ~ subpopulation(X1,X0,X2)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f56,plain,
! [X0,X1,X2] :
( first_movers = X1
| efficient_producers = X1
| ~ greater(cardinality_at_time(X1,X2),zero)
| ~ subpopulation(X1,X0,X2)
| ~ environment(X0) ),
inference(flattening,[],[f55]) ).
fof(f57,plain,
? [X0,X1] :
( ~ selection_favors(first_movers,efficient_producers,X1)
& greater(appear(efficient_producers,X0),X1)
& greater_or_equal(X1,appear(first_movers,X0))
& in_environment(X0,X1)
& environment(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f58,plain,
? [X0,X1] :
( ~ selection_favors(first_movers,efficient_producers,X1)
& greater(appear(efficient_producers,X0),X1)
& greater_or_equal(X1,appear(first_movers,X0))
& in_environment(X0,X1)
& environment(X0) ),
inference(flattening,[],[f57]) ).
fof(f59,plain,
! [X0,X1] :
( ? [X2] :
( greater(cardinality_at_time(X2,X1),zero)
& subpopulation(X2,X0,X1) )
=> ( greater(cardinality_at_time(sK0(X0,X1),X1),zero)
& subpopulation(sK0(X0,X1),X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f60,plain,
! [X0,X1] :
( ( greater(cardinality_at_time(sK0(X0,X1),X1),zero)
& subpopulation(sK0(X0,X1),X0,X1) )
| ~ greater(number_of_organizations(X0,X1),zero)
| ~ environment(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f34,f59]) ).
fof(f61,plain,
! [X0,X1] :
( ( greater_or_equal(X0,X1)
| ( X0 != X1
& ~ greater(X0,X1) ) )
& ( X0 = X1
| greater(X0,X1)
| ~ greater_or_equal(X0,X1) ) ),
inference(nnf_transformation,[],[f27]) ).
fof(f62,plain,
! [X0,X1] :
( ( greater_or_equal(X0,X1)
| ( X0 != X1
& ~ greater(X0,X1) ) )
& ( X0 = X1
| greater(X0,X1)
| ~ greater_or_equal(X0,X1) ) ),
inference(flattening,[],[f61]) ).
fof(f63,plain,
( ? [X0,X1] :
( ~ selection_favors(first_movers,efficient_producers,X1)
& greater(appear(efficient_producers,X0),X1)
& greater_or_equal(X1,appear(first_movers,X0))
& in_environment(X0,X1)
& environment(X0) )
=> ( ~ selection_favors(first_movers,efficient_producers,sK2)
& greater(appear(efficient_producers,sK1),sK2)
& greater_or_equal(sK2,appear(first_movers,sK1))
& in_environment(sK1,sK2)
& environment(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f64,plain,
( ~ selection_favors(first_movers,efficient_producers,sK2)
& greater(appear(efficient_producers,sK1),sK2)
& greater_or_equal(sK2,appear(first_movers,sK1))
& in_environment(sK1,sK2)
& environment(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f58,f63]) ).
fof(f66,plain,
! [X0,X1] :
( subpopulation(sK0(X0,X1),X0,X1)
| ~ greater(number_of_organizations(X0,X1),zero)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f67,plain,
! [X0,X1] :
( greater(cardinality_at_time(sK0(X0,X1),X1),zero)
| ~ greater(number_of_organizations(X0,X1),zero)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f68,plain,
! [X0,X1] :
( ~ greater(cardinality_at_time(X0,X1),zero)
| zero != cardinality_at_time(X0,t) ),
inference(cnf_transformation,[],[f35]) ).
fof(f69,plain,
! [X2,X0,X1] :
( zero = cardinality_at_time(X1,X2)
| ~ greater(appear(X1,X0),X2)
| ~ in_environment(X0,X2)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f70,plain,
! [X0,X1] :
( in_environment(X0,X1)
| ~ greater(number_of_organizations(X0,X1),zero)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f71,plain,
! [X2,X3,X0,X1] :
( in_environment(X0,X3)
| ~ greater_or_equal(X3,X1)
| ~ greater_or_equal(X2,X3)
| ~ in_environment(X0,X2)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f72,plain,
! [X0] :
( in_environment(X0,start_time(X0))
| ~ environment(X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f73,plain,
! [X0] :
( greater_or_equal(appear(first_movers,X0),start_time(X0))
| ~ environment(X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f74,plain,
! [X0] :
( in_environment(X0,appear(an_organisation,X0))
| ~ in_environment(X0,appear(first_movers,X0))
| ~ environment(X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f75,plain,
! [X0] :
( greater_or_equal(appear(first_movers,X0),appear(an_organisation,X0))
| ~ environment(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f76,plain,
! [X0] :
( greater(number_of_organizations(e,appear(an_organisation,X0)),zero)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f77,plain,
! [X0,X1] :
( subpopulation(first_movers,X0,X1)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f78,plain,
! [X0,X1] :
( subpopulation(efficient_producers,X0,X1)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f79,plain,
! [X2,X0,X1] :
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f51]) ).
fof(f80,plain,
! [X0,X1] :
( X0 = X1
| greater(X0,X1)
| ~ greater_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f62]) ).
fof(f81,plain,
! [X0,X1] :
( greater_or_equal(X0,X1)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f62]) ).
fof(f82,plain,
! [X0,X1] :
( greater_or_equal(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f62]) ).
fof(f83,plain,
! [X0,X1] :
( greater(number_of_organizations(X0,X1),zero)
| ~ greater_or_equal(X1,appear(an_organisation,X0))
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f84,plain,
! [X0] :
( greater(appear(efficient_producers,e),appear(first_movers,X0))
| ~ environment(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f85,plain,
! [X2,X0,X1] :
( first_movers = X1
| efficient_producers = X1
| ~ greater(cardinality_at_time(X1,X2),zero)
| ~ subpopulation(X1,X0,X2)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f86,plain,
environment(sK1),
inference(cnf_transformation,[],[f64]) ).
fof(f87,plain,
in_environment(sK1,sK2),
inference(cnf_transformation,[],[f64]) ).
fof(f88,plain,
greater_or_equal(sK2,appear(first_movers,sK1)),
inference(cnf_transformation,[],[f64]) ).
fof(f89,plain,
greater(appear(efficient_producers,sK1),sK2),
inference(cnf_transformation,[],[f64]) ).
fof(f91,plain,
! [X1] : greater_or_equal(X1,X1),
inference(equality_resolution,[],[f82]) ).
cnf(c_50,plain,
( ~ greater(number_of_organizations(X0,X1),zero)
| ~ environment(X0)
| greater(cardinality_at_time(sK0(X0,X1),X1),zero) ),
inference(cnf_transformation,[],[f67]) ).
cnf(c_51,plain,
( ~ greater(number_of_organizations(X0,X1),zero)
| ~ environment(X0)
| subpopulation(sK0(X0,X1),X0,X1) ),
inference(cnf_transformation,[],[f66]) ).
cnf(c_52,plain,
( cardinality_at_time(X0,t) != zero
| ~ greater(cardinality_at_time(X0,X1),zero) ),
inference(cnf_transformation,[],[f68]) ).
cnf(c_53,plain,
( ~ greater(appear(X0,X1),X2)
| ~ in_environment(X1,X2)
| ~ environment(X1)
| cardinality_at_time(X0,X2) = zero ),
inference(cnf_transformation,[],[f69]) ).
cnf(c_54,plain,
( ~ greater(number_of_organizations(X0,X1),zero)
| ~ environment(X0)
| in_environment(X0,X1) ),
inference(cnf_transformation,[],[f70]) ).
cnf(c_55,plain,
( ~ in_environment(X0,X1)
| ~ in_environment(X0,X2)
| ~ greater_or_equal(X2,X3)
| ~ greater_or_equal(X3,X1)
| ~ environment(X0)
| in_environment(X0,X3) ),
inference(cnf_transformation,[],[f71]) ).
cnf(c_56,plain,
( ~ environment(X0)
| in_environment(X0,start_time(X0)) ),
inference(cnf_transformation,[],[f72]) ).
cnf(c_57,plain,
( ~ environment(X0)
| greater_or_equal(appear(first_movers,X0),start_time(X0)) ),
inference(cnf_transformation,[],[f73]) ).
cnf(c_58,plain,
( ~ in_environment(X0,appear(first_movers,X0))
| ~ environment(X0)
| in_environment(X0,appear(an_organisation,X0)) ),
inference(cnf_transformation,[],[f74]) ).
cnf(c_59,plain,
( ~ environment(X0)
| greater_or_equal(appear(first_movers,X0),appear(an_organisation,X0)) ),
inference(cnf_transformation,[],[f75]) ).
cnf(c_60,plain,
( ~ environment(X0)
| greater(number_of_organizations(e,appear(an_organisation,X0)),zero) ),
inference(cnf_transformation,[],[f76]) ).
cnf(c_61,plain,
( ~ in_environment(X0,X1)
| ~ environment(X0)
| subpopulation(efficient_producers,X0,X1) ),
inference(cnf_transformation,[],[f78]) ).
cnf(c_62,plain,
( ~ in_environment(X0,X1)
| ~ environment(X0)
| subpopulation(first_movers,X0,X1) ),
inference(cnf_transformation,[],[f77]) ).
cnf(c_63,plain,
( ~ greater(X0,X1)
| ~ greater(X2,X0)
| greater(X2,X1) ),
inference(cnf_transformation,[],[f79]) ).
cnf(c_64,plain,
greater_or_equal(X0,X0),
inference(cnf_transformation,[],[f91]) ).
cnf(c_65,plain,
( ~ greater(X0,X1)
| greater_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f81]) ).
cnf(c_66,plain,
( ~ greater_or_equal(X0,X1)
| X0 = X1
| greater(X0,X1) ),
inference(cnf_transformation,[],[f80]) ).
cnf(c_67,plain,
( ~ greater_or_equal(X0,appear(an_organisation,X1))
| ~ in_environment(X1,X0)
| ~ environment(X1)
| greater(number_of_organizations(X1,X0),zero) ),
inference(cnf_transformation,[],[f83]) ).
cnf(c_68,plain,
( ~ environment(X0)
| greater(appear(efficient_producers,e),appear(first_movers,X0)) ),
inference(cnf_transformation,[],[f84]) ).
cnf(c_69,plain,
( ~ greater(cardinality_at_time(X0,X1),zero)
| ~ subpopulation(X0,X2,X1)
| ~ environment(X2)
| X0 = first_movers
| X0 = efficient_producers ),
inference(cnf_transformation,[],[f85]) ).
cnf(c_71,negated_conjecture,
greater(appear(efficient_producers,sK1),sK2),
inference(cnf_transformation,[],[f89]) ).
cnf(c_72,negated_conjecture,
greater_or_equal(sK2,appear(first_movers,sK1)),
inference(cnf_transformation,[],[f88]) ).
cnf(c_73,negated_conjecture,
in_environment(sK1,sK2),
inference(cnf_transformation,[],[f87]) ).
cnf(c_74,negated_conjecture,
environment(sK1),
inference(cnf_transformation,[],[f86]) ).
cnf(c_234,plain,
( X0 != X1
| X2 != X3
| X4 != X5
| ~ selection_favors(X1,X3,X5)
| selection_favors(X0,X2,X4) ),
theory(equality) ).
cnf(c_238,plain,
( X0 != X1
| ~ environment(X1)
| environment(X0) ),
theory(equality) ).
cnf(c_280,plain,
( X0 != sK1
| greater(appear(efficient_producers,e),appear(first_movers,X0)) ),
inference(resolution_lifted,[status(thm)],[c_68,c_74]) ).
cnf(c_281,plain,
greater(appear(efficient_producers,e),appear(first_movers,sK1)),
inference(unflattening,[status(thm)],[c_280]) ).
cnf(c_285,plain,
( X0 != sK1
| ~ in_environment(X0,X1)
| subpopulation(first_movers,X0,X1) ),
inference(resolution_lifted,[status(thm)],[c_62,c_74]) ).
cnf(c_286,plain,
( ~ in_environment(sK1,X0)
| subpopulation(first_movers,sK1,X0) ),
inference(unflattening,[status(thm)],[c_285]) ).
cnf(c_294,plain,
( X0 != sK1
| ~ in_environment(X0,X1)
| subpopulation(efficient_producers,X0,X1) ),
inference(resolution_lifted,[status(thm)],[c_61,c_74]) ).
cnf(c_295,plain,
( ~ in_environment(sK1,X0)
| subpopulation(efficient_producers,sK1,X0) ),
inference(unflattening,[status(thm)],[c_294]) ).
cnf(c_303,plain,
( X0 != sK1
| greater(number_of_organizations(e,appear(an_organisation,X0)),zero) ),
inference(resolution_lifted,[status(thm)],[c_60,c_74]) ).
cnf(c_304,plain,
greater(number_of_organizations(e,appear(an_organisation,sK1)),zero),
inference(unflattening,[status(thm)],[c_303]) ).
cnf(c_308,plain,
( X0 != sK1
| greater_or_equal(appear(first_movers,X0),appear(an_organisation,X0)) ),
inference(resolution_lifted,[status(thm)],[c_59,c_74]) ).
cnf(c_309,plain,
greater_or_equal(appear(first_movers,sK1),appear(an_organisation,sK1)),
inference(unflattening,[status(thm)],[c_308]) ).
cnf(c_313,plain,
( X0 != sK1
| ~ in_environment(X0,appear(first_movers,X0))
| in_environment(X0,appear(an_organisation,X0)) ),
inference(resolution_lifted,[status(thm)],[c_58,c_74]) ).
cnf(c_314,plain,
( ~ in_environment(sK1,appear(first_movers,sK1))
| in_environment(sK1,appear(an_organisation,sK1)) ),
inference(unflattening,[status(thm)],[c_313]) ).
cnf(c_321,plain,
( X0 != sK1
| greater_or_equal(appear(first_movers,X0),start_time(X0)) ),
inference(resolution_lifted,[status(thm)],[c_57,c_74]) ).
cnf(c_322,plain,
greater_or_equal(appear(first_movers,sK1),start_time(sK1)),
inference(unflattening,[status(thm)],[c_321]) ).
cnf(c_326,plain,
( X0 != sK1
| in_environment(X0,start_time(X0)) ),
inference(resolution_lifted,[status(thm)],[c_56,c_74]) ).
cnf(c_327,plain,
in_environment(sK1,start_time(sK1)),
inference(unflattening,[status(thm)],[c_326]) ).
cnf(c_331,plain,
( X0 != sK1
| ~ in_environment(X0,X1)
| ~ in_environment(X0,X2)
| ~ greater_or_equal(X2,X3)
| ~ greater_or_equal(X3,X1)
| in_environment(X0,X3) ),
inference(resolution_lifted,[status(thm)],[c_55,c_74]) ).
cnf(c_332,plain,
( ~ greater_or_equal(X0,X1)
| ~ greater_or_equal(X1,X2)
| ~ in_environment(sK1,X0)
| ~ in_environment(sK1,X2)
| in_environment(sK1,X1) ),
inference(unflattening,[status(thm)],[c_331]) ).
cnf(c_348,plain,
( X0 != sK1
| ~ greater(number_of_organizations(X0,X1),zero)
| in_environment(X0,X1) ),
inference(resolution_lifted,[status(thm)],[c_54,c_74]) ).
cnf(c_349,plain,
( ~ greater(number_of_organizations(sK1,X0),zero)
| in_environment(sK1,X0) ),
inference(unflattening,[status(thm)],[c_348]) ).
cnf(c_357,plain,
( X0 != sK1
| ~ greater(number_of_organizations(X0,X1),zero)
| subpopulation(sK0(X0,X1),X0,X1) ),
inference(resolution_lifted,[status(thm)],[c_51,c_74]) ).
cnf(c_358,plain,
( ~ greater(number_of_organizations(sK1,X0),zero)
| subpopulation(sK0(sK1,X0),sK1,X0) ),
inference(unflattening,[status(thm)],[c_357]) ).
cnf(c_366,plain,
( X0 != sK1
| ~ greater(number_of_organizations(X0,X1),zero)
| greater(cardinality_at_time(sK0(X0,X1),X1),zero) ),
inference(resolution_lifted,[status(thm)],[c_50,c_74]) ).
cnf(c_367,plain,
( ~ greater(number_of_organizations(sK1,X0),zero)
| greater(cardinality_at_time(sK0(sK1,X0),X0),zero) ),
inference(unflattening,[status(thm)],[c_366]) ).
cnf(c_375,plain,
( X0 != sK1
| ~ greater_or_equal(X1,appear(an_organisation,X0))
| ~ in_environment(X0,X1)
| greater(number_of_organizations(X0,X1),zero) ),
inference(resolution_lifted,[status(thm)],[c_67,c_74]) ).
cnf(c_376,plain,
( ~ greater_or_equal(X0,appear(an_organisation,sK1))
| ~ in_environment(sK1,X0)
| greater(number_of_organizations(sK1,X0),zero) ),
inference(unflattening,[status(thm)],[c_375]) ).
cnf(c_387,plain,
( X0 != sK1
| ~ greater(appear(X1,X0),X2)
| ~ in_environment(X0,X2)
| cardinality_at_time(X1,X2) = zero ),
inference(resolution_lifted,[status(thm)],[c_53,c_74]) ).
cnf(c_388,plain,
( ~ greater(appear(X0,sK1),X1)
| ~ in_environment(sK1,X1)
| cardinality_at_time(X0,X1) = zero ),
inference(unflattening,[status(thm)],[c_387]) ).
cnf(c_399,plain,
( X0 != sK1
| ~ greater(cardinality_at_time(X1,X2),zero)
| ~ subpopulation(X1,X0,X2)
| X1 = first_movers
| X1 = efficient_producers ),
inference(resolution_lifted,[status(thm)],[c_69,c_74]) ).
cnf(c_400,plain,
( ~ greater(cardinality_at_time(X0,X1),zero)
| ~ subpopulation(X0,sK1,X1)
| X0 = first_movers
| X0 = efficient_producers ),
inference(unflattening,[status(thm)],[c_399]) ).
cnf(c_563,plain,
X0_1 = X0_1,
theory(equality) ).
cnf(c_944,plain,
( ~ in_environment(sK1,appear(an_organisation,sK1))
| greater(number_of_organizations(sK1,appear(an_organisation,sK1)),zero) ),
inference(superposition,[status(thm)],[c_64,c_376]) ).
cnf(c_945,plain,
( ~ in_environment(sK1,appear(first_movers,sK1))
| greater(number_of_organizations(sK1,appear(first_movers,sK1)),zero) ),
inference(superposition,[status(thm)],[c_309,c_376]) ).
cnf(c_981,plain,
( ~ greater_or_equal(X0,appear(first_movers,sK1))
| ~ in_environment(sK1,start_time(sK1))
| ~ in_environment(sK1,X0)
| in_environment(sK1,appear(first_movers,sK1)) ),
inference(superposition,[status(thm)],[c_322,c_332]) ).
cnf(c_1098,plain,
( ~ greater_or_equal(X0,appear(first_movers,sK1))
| ~ in_environment(sK1,X0)
| in_environment(sK1,appear(first_movers,sK1)) ),
inference(global_subsumption_just,[status(thm)],[c_981,c_327,c_981]) ).
cnf(c_1102,plain,
( ~ in_environment(sK1,sK2)
| in_environment(sK1,appear(first_movers,sK1)) ),
inference(superposition,[status(thm)],[c_72,c_1098]) ).
cnf(c_19568,plain,
greater_or_equal(appear(efficient_producers,sK1),sK2),
inference(superposition,[status(thm)],[c_71,c_65]) ).
cnf(c_19569,plain,
greater_or_equal(appear(efficient_producers,e),appear(first_movers,sK1)),
inference(superposition,[status(thm)],[c_281,c_65]) ).
cnf(c_19570,plain,
greater_or_equal(number_of_organizations(e,appear(an_organisation,sK1)),zero),
inference(superposition,[status(thm)],[c_304,c_65]) ).
cnf(c_23081,plain,
( appear(first_movers,sK1) = sK2
| greater(sK2,appear(first_movers,sK1)) ),
inference(superposition,[status(thm)],[c_72,c_66]) ).
cnf(c_23083,plain,
( appear(first_movers,sK1) = start_time(sK1)
| greater(appear(first_movers,sK1),start_time(sK1)) ),
inference(superposition,[status(thm)],[c_322,c_66]) ).
cnf(c_47497,plain,
( ~ greater(number_of_organizations(sK1,X0),zero)
| greater_or_equal(cardinality_at_time(sK0(sK1,X0),X0),zero) ),
inference(superposition,[status(thm)],[c_367,c_65]) ).
cnf(c_47672,plain,
( ~ in_environment(sK1,appear(an_organisation,sK1))
| greater(number_of_organizations(sK1,appear(an_organisation,sK1)),zero) ),
inference(superposition,[status(thm)],[c_64,c_376]) ).
cnf(c_47673,plain,
( ~ in_environment(sK1,appear(first_movers,sK1))
| greater(number_of_organizations(sK1,appear(first_movers,sK1)),zero) ),
inference(superposition,[status(thm)],[c_309,c_376]) ).
cnf(c_89275,plain,
greater(number_of_organizations(sK1,appear(an_organisation,sK1)),zero),
inference(global_subsumption_just,[status(thm)],[c_47672,c_73,c_314,c_944,c_1102]) ).
cnf(c_91796,plain,
greater(number_of_organizations(sK1,appear(first_movers,sK1)),zero),
inference(global_subsumption_just,[status(thm)],[c_47673,c_73,c_945,c_1102]) ).
cnf(c_91798,plain,
( ~ greater(X0,number_of_organizations(sK1,appear(first_movers,sK1)))
| greater(X0,zero) ),
inference(superposition,[status(thm)],[c_91796,c_63]) ).
cnf(c_91799,plain,
greater_or_equal(number_of_organizations(sK1,appear(first_movers,sK1)),zero),
inference(superposition,[status(thm)],[c_91796,c_65]) ).
cnf(c_110054,plain,
( ~ greater_or_equal(X0,number_of_organizations(sK1,appear(first_movers,sK1)))
| ~ in_environment(sK1,X0)
| ~ in_environment(sK1,zero)
| in_environment(sK1,number_of_organizations(sK1,appear(first_movers,sK1))) ),
inference(superposition,[status(thm)],[c_91799,c_332]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT033+2 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n018.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 06:19:47 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 198.49/27.36 % SZS status Started for theBenchmark.p
% 198.49/27.36 % SZS status CounterSatisfiable for theBenchmark.p
% 198.49/27.36
% 198.49/27.36 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 198.49/27.36
% 198.49/27.36 ------ iProver source info
% 198.49/27.36
% 198.49/27.36 git: date: 2023-05-31 18:12:56 +0000
% 198.49/27.36 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 198.49/27.36 git: non_committed_changes: false
% 198.49/27.36 git: last_make_outside_of_git: false
% 198.49/27.36
% 198.49/27.36 ------ Parsing...
% 198.49/27.36 ------ Clausification by vclausify_rel & Parsing by iProver...
% 198.49/27.36
% 198.49/27.36 ------ 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
% 198.49/27.36
% 198.49/27.36 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 198.49/27.36
% 198.49/27.36 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 198.49/27.36 ------ Proving...
% 198.49/27.36 ------ Problem Properties
% 198.49/27.36
% 198.49/27.36
% 198.49/27.36 clauses 24
% 198.49/27.36 conjectures 3
% 198.49/27.36 EPR 8
% 198.49/27.36 Horn 22
% 198.49/27.36 unary 9
% 198.49/27.36 binary 8
% 198.49/27.36 lits 50
% 198.49/27.36 lits eq 6
% 198.49/27.36 fd_pure 0
% 198.49/27.36 fd_pseudo 0
% 198.49/27.36 fd_cond 1
% 198.49/27.36 fd_pseudo_cond 1
% 198.49/27.36 AC symbols 0
% 198.49/27.36
% 198.49/27.36 ------ Input Options Time Limit: Unbounded
% 198.49/27.36
% 198.49/27.36
% 198.49/27.36 ------
% 198.49/27.36 Current options:
% 198.49/27.36 ------
% 198.49/27.36
% 198.49/27.36
% 198.49/27.36
% 198.49/27.36
% 198.49/27.36 ------ Proving...
% 198.49/27.36
% 198.49/27.36
% 198.49/27.36 % SZS status CounterSatisfiable for theBenchmark.p
% 198.49/27.36
% 198.49/27.36 % SZS output start Saturation for theBenchmark.p
% See solution above
% 198.49/27.37
% 198.49/27.37
%------------------------------------------------------------------------------